Jon Awbrey<p>Higher Order Sign Relations • Discussion 1<br>• <a href="https://inquiryintoinquiry.com/2025/03/27/higher-order-sign-relations-discussion-1-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/03</span><span class="invisible">/27/higher-order-sign-relations-discussion-1-a/</span></a></p><p>Re: FB | Charles S. Peirce Society • John Corcoran<br>• <a href="https://www.facebook.com/groups/peircesociety/posts/1768975423238442/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">facebook.com/groups/peircesoci</span><span class="invisible">ety/posts/1768975423238442/</span></a></p><p>Questions about the proper treatment of use and mention from the standpoint of Peirce’s theory of signs came up recently in discussions on Facebook. In pragmatic semiotics the trade‑off between “signs-of-objects” and “signs-as-objects” opens up the wider space of Higher Order Sign Relations. In previous work on Inquiry Driven Systems I introduced the subject in the following way.</p><p>When interpreters reflect on their use of signs they require an appropriate technical language in which to pursue their reflections. They need signs referring to sign relations, signs referring to elements and components of sign relations, and signs referring to properties and classes of sign relations. The orders of signs developing as reflection evolves can be organized under the heading of “higher order signs” and the reflective sign relations involving them can be referred to as “higher order sign relations”.</p><p>References —</p><p>John Corcoran<br>• <a href="https://johncorcoran.academia.edu/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="">johncorcoran.academia.edu/</span><span class="invisible"></span></a></p><p>Schemata : The Concept of Schema in the History of Logic<br>• <a href="https://www.academia.edu/12691868/SCHEMATA_THE_CONCEPT_OF_SCHEMA_IN_THE_HISTORY_OF_LOGIC" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">academia.edu/12691868/SCHEMATA</span><span class="invisible">_THE_CONCEPT_OF_SCHEMA_IN_THE_HISTORY_OF_LOGIC</span></a></p><p>Use And Mention, Use Without Mention, Mention Without Use<br>• <a href="https://www.academia.edu/s/ea64a3484e/schemata#comment_525151" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">academia.edu/s/ea64a3484e/sche</span><span class="invisible">mata#comment_525151</span></a></p><p>Resources —</p><p>Higher Order Sign Relations<br>• <a href="https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Part_12#Higher_Order_Sign_Relations" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">oeis.org/wiki/Inquiry_Driven_S</span><span class="invisible">ystems_%E2%80%A2_Part_12#Higher_Order_Sign_Relations</span></a> </p><p>Survey of Inquiry Driven Systems<br>• <a href="https://inquiryintoinquiry.com/2024/02/28/survey-of-inquiry-driven-systems-6/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/02</span><span class="invisible">/28/survey-of-inquiry-driven-systems-6/</span></a></p><p>Survey of Semiotics, Semiosis, Sign Relations<br>• <a href="https://inquiryintoinquiry.com/2024/01/26/survey-of-semiotics-semiosis-sign-relations-5/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/01</span><span class="invisible">/26/survey-of-semiotics-semiosis-sign-relations-5/</span></a></p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematics</span></a> <a href="https://mathstodon.xyz/tags/Reflection" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Reflection</span></a> <br><a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <a href="https://mathstodon.xyz/tags/HigherOrderSignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HigherOrderSignRelations</span></a> <br><a href="https://mathstodon.xyz/tags/InquiryDrivenSystems" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>InquiryDrivenSystems</span></a> <a href="https://mathstodon.xyz/tags/ReflectiveInterpretiveFrameworks" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ReflectiveInterpretiveFrameworks</span></a> <br><a href="https://mathstodon.xyz/tags/Arithmetization" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Arithmetization</span></a> <a href="https://mathstodon.xyz/tags/G%C3%B6delNumbers" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>GödelNumbers</span></a> <a href="https://mathstodon.xyz/tags/Quotation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Quotation</span></a> <a href="https://mathstodon.xyz/tags/UseAndMention" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>UseAndMention</span></a></p>
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#SignRelations
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Jon Awbrey<p>Higher Order Sign Relations • 1<br>• <a href="https://inquiryintoinquiry.com/2025/03/22/higher-order-sign-relations-1-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/03</span><span class="invisible">/22/higher-order-sign-relations-1-a/</span></a></p><p>Higher Order Sign Relations • Introduction —</p><p>When interpreters reflect on their use of signs they require an appropriate technical language in which to pursue their reflections. They need signs referring to sign relations, signs referring to elements and components of sign relations, and signs referring to properties and classes of sign relations. The orders of signs developing as reflection evolves can be organized under the heading of “higher order signs” and the reflective sign relations involving them can be referred to as “higher order sign relations”.</p><p>Some years ago I was formatting my old dissertation proposal on Inquiry Driven Systems for the web when the subject of “signs about signs” arose on the Peirce List. It called to mind the part of my document on Higher Order Sign Relations, on which basis Reflective Interpretive Frameworks are constructed, and the introduction to which begins as above.</p><p>Resources —</p><p>Inquiry Driven Systems<br>• <a href="https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Overview" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">oeis.org/wiki/Inquiry_Driven_S</span><span class="invisible">ystems_%E2%80%A2_Overview</span></a> </p><p>Reflective Interpretive Frameworks<br>• <a href="https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Part_10#Reflective_Interpretive_Frameworks" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">oeis.org/wiki/Inquiry_Driven_S</span><span class="invisible">ystems_%E2%80%A2_Part_10#Reflective_Interpretive_Frameworks</span></a> </p><p>Higher Order Sign Relations<br>• <a href="https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Part_12#Higher_Order_Sign_Relations" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">oeis.org/wiki/Inquiry_Driven_S</span><span class="invisible">ystems_%E2%80%A2_Part_12#Higher_Order_Sign_Relations</span></a> </p><p>Survey of Inquiry Driven Systems<br>• <a href="https://inquiryintoinquiry.com/2024/02/28/survey-of-inquiry-driven-systems-6/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/02</span><span class="invisible">/28/survey-of-inquiry-driven-systems-6/</span></a></p><p>Survey of Semiotics, Semiosis, Sign Relations<br>• <a href="https://inquiryintoinquiry.com/2024/01/26/survey-of-semiotics-semiosis-sign-relations-5/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/01</span><span class="invisible">/26/survey-of-semiotics-semiosis-sign-relations-5/</span></a></p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematics</span></a> <a href="https://mathstodon.xyz/tags/Reflection" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Reflection</span></a> <br><a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <a href="https://mathstodon.xyz/tags/HigherOrderSignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HigherOrderSignRelations</span></a> <br><a href="https://mathstodon.xyz/tags/InquiryDrivenSystems" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>InquiryDrivenSystems</span></a> <a href="https://mathstodon.xyz/tags/ReflectiveInterpretiveFrameworks" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ReflectiveInterpretiveFrameworks</span></a></p>
Jon Awbrey<p>Signs Of Signs • 4<br>• <a href="https://inquiryintoinquiry.com/2025/03/20/signs-of-signs-4-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/03</span><span class="invisible">/20/signs-of-signs-4-a/</span></a> </p><p>Re: Michael Harris • Language About Language<br>• <a href="https://mathematicswithoutapologies.wordpress.com/2015/05/23/language-about-language/comment-page-1/#comment-380" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">mathematicswithoutapologies.wo</span><span class="invisible">rdpress.com/2015/05/23/language-about-language/comment-page-1/#comment-380</span></a> </p><p>❝But then inevitably I find myself wondering whether a proof assistant, or even a formal system, can make the distinction between “technical” and “fundamental” questions. There seems to be no logical distinction. The formalist answer might involve algorithmic complexity, but I don't think that sheds any useful light on the question. The materialist answer (often? usually?) amounts to just‑so stories involving Darwin, and lions on the savannah, and maybe an elephant, or at least a mammoth. I don't find these very satisfying either and would prefer to find something in between, and I would feel vindicated if it could be proved (in I don't know what formal system) that the capacity to make such a distinction entails appreciation of music.❞</p><p>Peirce proposed a distinction between “corollarial” and “theorematic” reasoning in mathematics which strikes me as similar to the distinction Michael Harris seeks between “technical” and “fundamental” questions.</p><p>I can't say I have a lot of insight into how the distinction might be drawn but I recall a number of traditions pointing to the etymology of “theorem” as having to do with the observation of objects and practices whose depth of detail always escapes full accounting by any number of partial views.</p><p>On the subject of music, all I have is the following incidental —</p><p>🙞 Riffs and Rotes<br>• <a href="https://oeis.org/wiki/Riffs_and_Rotes" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="">oeis.org/wiki/Riffs_and_Rotes</span><span class="invisible"></span></a></p><p>Perhaps it takes a number theorist to appreciate it …</p><p>Resource —</p><p>Higher Order Sign Relations<br>• <a href="https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Part_12#Higher_Order_Sign_Relations" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">oeis.org/wiki/Inquiry_Driven_S</span><span class="invisible">ystems_%E2%80%A2_Part_12#Higher_Order_Sign_Relations</span></a></p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematics</span></a> <a href="https://mathstodon.xyz/tags/Reflection" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Reflection</span></a> <br><a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <a href="https://mathstodon.xyz/tags/HigherOrderSignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HigherOrderSignRelations</span></a></p>
Jon Awbrey<p>Signs Of Signs • 3<br>• <a href="https://inquiryintoinquiry.com/2025/03/19/signs-of-signs-3-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/03</span><span class="invisible">/19/signs-of-signs-3-a/</span></a></p><p>Re: Michael Harris • Language About Language<br>• <a href="https://mathematicswithoutapologies.wordpress.com/2015/05/23/language-about-language/comment-page-1/#comment-353" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">mathematicswithoutapologies.wo</span><span class="invisible">rdpress.com/2015/05/23/language-about-language/comment-page-1/#comment-353</span></a></p><p>❝And if we don't [keep our stories straight], who puts us away?❞</p><p>One's answer, or at least one's initial response to that question will turn on how one feels about formal realities. As I understand it, reality is that which persists in thumping us on the head until we get what it's trying to tell us. Are there formal realities, forms which drive us in that way?</p><p>Discussions like those tend to begin by supposing we can form a distinction between external and internal. That is a formal hypothesis, not yet born out as a formal reality. Are there formal realities which drive us to recognize them, to pick them out of a crowd of formal possibilities?</p><p>Resources —</p><p>Higher Order Sign Relations<br>• <a href="https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Part_12#Higher_Order_Sign_Relations" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">oeis.org/wiki/Inquiry_Driven_S</span><span class="invisible">ystems_%E2%80%A2_Part_12#Higher_Order_Sign_Relations</span></a></p><p>Survey of Pragmatic Semiotic Information<br>• <a href="https://inquiryintoinquiry.com/2024/03/01/survey-of-pragmatic-semiotic-information-8/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/03</span><span class="invisible">/01/survey-of-pragmatic-semiotic-information-8/</span></a></p><p>Survey of Semiotics, Semiosis, Sign Relations<br>• <a href="https://inquiryintoinquiry.com/2024/01/26/survey-of-semiotics-semiosis-sign-relations-5/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/01</span><span class="invisible">/26/survey-of-semiotics-semiosis-sign-relations-5/</span></a></p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematics</span></a> <a href="https://mathstodon.xyz/tags/Reflection" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Reflection</span></a> <br><a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <a href="https://mathstodon.xyz/tags/HigherOrderSignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HigherOrderSignRelations</span></a></p>
Jon Awbrey<p>Signs Of Signs • 2<br>• <a href="https://inquiryintoinquiry.com/2025/03/18/signs-of-signs-2-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/03</span><span class="invisible">/18/signs-of-signs-2-a/</span></a></p><p>Re: Michael Harris • Language About Language<br>• <a href="https://mathematicswithoutapologies.wordpress.com/2015/05/23/language-about-language/comment-page-1/#comment-346" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">mathematicswithoutapologies.wo</span><span class="invisible">rdpress.com/2015/05/23/language-about-language/comment-page-1/#comment-346</span></a> </p><p>❝I compared mathematics to a “consensual hallucination”, like virtual reality, and I continue to believe that the aim is to get (consensually) to the point where that hallucination is a second nature.❞</p><p>I think that's called “coherentism”, normally contrasted with or complementary to “objectivism”. It's the philosophy of a gang of co‑conspirators who think, “We'll get off scot‑free so long as we all keep our stories straight.”</p><p>Resources —</p><p>Higher Order Sign Relations<br>• <a href="https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Part_12#Higher_Order_Sign_Relations" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">oeis.org/wiki/Inquiry_Driven_S</span><span class="invisible">ystems_%E2%80%A2_Part_12#Higher_Order_Sign_Relations</span></a></p><p>Survey of Pragmatic Semiotic Information<br>• <a href="https://inquiryintoinquiry.com/2024/03/01/survey-of-pragmatic-semiotic-information-8/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/03</span><span class="invisible">/01/survey-of-pragmatic-semiotic-information-8/</span></a></p><p>Survey of Semiotics, Semiosis, Sign Relations<br>• <a href="https://inquiryintoinquiry.com/2024/01/26/survey-of-semiotics-semiosis-sign-relations-5/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/01</span><span class="invisible">/26/survey-of-semiotics-semiosis-sign-relations-5/</span></a></p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematics</span></a> <a href="https://mathstodon.xyz/tags/Reflection" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Reflection</span></a> <br><a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <a href="https://mathstodon.xyz/tags/HigherOrderSignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HigherOrderSignRelations</span></a></p>
Jon Awbrey<p>Signs Of Signs • 1<br>• <a href="https://inquiryintoinquiry.com/2025/03/16/signs-of-signs-1-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/03</span><span class="invisible">/16/signs-of-signs-1-a/</span></a></p><p>Re: Michael Harris • Language About Language <br>• <a href="https://mathematicswithoutapologies.wordpress.com/2015/05/23/language-about-language/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">mathematicswithoutapologies.wo</span><span class="invisible">rdpress.com/2015/05/23/language-about-language/</span></a></p><p>There is a language and a corresponding literature treating logic and mathematics as related species of communication and information gathering, namely, the pragmatic-semiotic tradition transmitted through the lifelong efforts of C.S. Peirce. It is by no means a dead language but it continues to fly beneath the radar of many trackers in logic and math today. Nevertheless, the resource remains for those who wish to look into it.</p><p>Resources —</p><p>Higher Order Sign Relations<br>• <a href="https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Part_12#Higher_Order_Sign_Relations" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">oeis.org/wiki/Inquiry_Driven_S</span><span class="invisible">ystems_%E2%80%A2_Part_12#Higher_Order_Sign_Relations</span></a></p><p>Survey of Pragmatic Semiotic Information<br>• <a href="https://inquiryintoinquiry.com/2024/03/01/survey-of-pragmatic-semiotic-information-8/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/03</span><span class="invisible">/01/survey-of-pragmatic-semiotic-information-8/</span></a></p><p>Survey of Semiotics, Semiosis, Sign Relations<br>• <a href="https://inquiryintoinquiry.com/2024/01/26/survey-of-semiotics-semiosis-sign-relations-5/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/01</span><span class="invisible">/26/survey-of-semiotics-semiosis-sign-relations-5/</span></a></p><p>• <a href="https://www.academia.edu/community/LpWxoO" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="">academia.edu/community/LpWxoO</span><span class="invisible"></span></a><br>• <a href="https://www.researchgate.net/post/Signs_Of_Signs" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">researchgate.net/post/Signs_Of</span><span class="invisible">_Signs</span></a></p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematics</span></a> <a href="https://mathstodon.xyz/tags/Reflection" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Reflection</span></a> <br><a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <a href="https://mathstodon.xyz/tags/HigherOrderSignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HigherOrderSignRelations</span></a></p>
Jon Awbrey<p>Interpreter and Interpretant • Selection 10.2<br>• <a href="https://inquiryintoinquiry.com/2025/02/11/interpreter-and-interpretant-selection-10-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/02</span><span class="invisible">/11/interpreter-and-interpretant-selection-10-a/</span></a><br>• <a href="https://bsky.app/profile/inquiryintoinquiry.bsky.social/post/3lhyet3gfzk2c" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">bsky.app/profile/inquiryintoin</span><span class="invisible">quiry.bsky.social/post/3lhyet3gfzk2c</span></a></p><p>In logical terms, the analogy of experience proceeds by inducing a Rule about the validity of a current knowledge base and then by deducing a Fact, the applicability of that knowledge base to a current experience.</p><p>Step 1 is Inductive, abstracting a Rule from a Case and a Fact.</p><p>• Case : E_past ⇒ E_poss, Chosen events fairly sample Collective events.<br>• Fact : E_past ⇒ K_pres, Chosen events support the Knowledge regime.<br>────────────────────────────────────────────────<br>• Rule : E_poss ⇒ K_pres, Collective events support the Knowledge regime.</p><p>Step 2 is Deductive, admitting a Case to a Rule and arriving at a Fact.</p><p>• Case : E_pres ⇒ E_poss, Current events fairly sample Collective events.<br>• Rule : E_poss ⇒ K_pres, Collective events support the Knowledge regime.<br>────────────────────────────────────────────────<br>• Fact : E_pres ⇒ K_pres, Current events support the Knowledge regime.</p><p>References —</p><p>Awbrey, J.L., and Awbrey, S.M. (1995), “Interpretation as Action : The Risk of Inquiry”, Inquiry : Critical Thinking Across the Disciplines 15(1), 40–52.<br>• <a href="https://www.pdcnet.org/inquiryct/content/inquiryct_1995_0015_0001_0040_0052" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">pdcnet.org/inquiryct/content/i</span><span class="invisible">nquiryct_1995_0015_0001_0040_0052</span></a> <br>• <a href="https://www.academia.edu/57812482/Interpretation_as_Action_The_Risk_of_Inquiry" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">academia.edu/57812482/Interpre</span><span class="invisible">tation_as_Action_The_Risk_of_Inquiry</span></a></p><p>Dewey, J. (1910), How We Think, D.C. Heath, Boston, MA. Reprinted (1991), Prometheus Books, Buffalo, NY.<br>• <a href="https://www.gutenberg.org/files/37423/37423-h/37423-h.htm" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">gutenberg.org/files/37423/3742</span><span class="invisible">3-h/37423-h.htm</span></a></p><p>Resources —</p><p>Survey of Abduction, Deduction, Induction, Analogy, Inquiry<br>• <a href="https://inquiryintoinquiry.com/2024/02/27/survey-of-abduction-deduction-induction-analogy-inquiry-4/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/02</span><span class="invisible">/27/survey-of-abduction-deduction-induction-analogy-inquiry-4/</span></a></p><p>Survey of Semiotics, Semiosis, Sign Relations<br>• <a href="https://inquiryintoinquiry.com/2024/01/26/survey-of-semiotics-semiosis-sign-relations-5/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/01</span><span class="invisible">/26/survey-of-semiotics-semiosis-sign-relations-5/</span></a></p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/Semiosis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiosis</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <br><a href="https://mathstodon.xyz/tags/JohnDewey" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>JohnDewey</span></a> <a href="https://mathstodon.xyz/tags/Interpreter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpreter</span></a> <a href="https://mathstodon.xyz/tags/Interpretant" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretant</span></a> <a href="https://mathstodon.xyz/tags/Pragmatism" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Pragmatism</span></a> <br><a href="https://mathstodon.xyz/tags/Abduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abduction</span></a> <a href="https://mathstodon.xyz/tags/Deduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Deduction</span></a> <a href="https://mathstodon.xyz/tags/Induction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Induction</span></a> <a href="https://mathstodon.xyz/tags/Analogy" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Analogy</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a></p>
Jon Awbrey<p>Interpreter and Interpretant • Selection 10.1<br>• <a href="https://inquiryintoinquiry.com/2025/02/11/interpreter-and-interpretant-selection-10-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/02</span><span class="invisible">/11/interpreter-and-interpretant-selection-10-a/</span></a><br>• <a href="https://bsky.app/profile/inquiryintoinquiry.bsky.social/post/3lhyet3gfzk2c" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">bsky.app/profile/inquiryintoin</span><span class="invisible">quiry.bsky.social/post/3lhyet3gfzk2c</span></a></p><p>Transfer —</p><p>Returning to the scene of Dewey's “Sign of Rain” example, let's continue examining how the transfer of knowledge through the analogy of experience works in that case.</p><p>By way of a recap, we began by considering a fragment K_pres of the reasoner's knowledge base which is logically equivalent to a conjunction of two rules.</p><p>• K_pres ⇔ (B ⇒ A) ∧ (B ⇒ D).</p><p>K_pres may be thought of as a piece of knowledge or item of information allowing for the possibility of certain conditions, expressed in the form of a logical constraint on the present universe of discourse.</p><p>Next we found it convenient to express all logical statements in terms of their models, that is, in terms of the primitive circumstances or elements of experience over which they hold true.</p><p>• Let E_past be the chosen set of experiences, or the circumstances in mind under “past experience”.</p><p>• Let E_poss be the collective set of experiences, or the prospective total of possible circumstances.</p><p>• Let E_pres be the current experience, or the circumstances immediately present to the reasoner.</p><p>If we think of the knowledge base K_pres as referring to the “regime of experience” over which it is valid, then the sets of models involved in the analogy may be ordered according to the relationships of set inclusion or logical implication existing among them.</p><p>Figure 4 shows the subsumption relations involved in the analogy of experience.</p><p>Figure 4. Analogy of Experience<br>• <a href="https://inquiryintoinquiry.files.wordpress.com/2025/02/analogy-of-experience.png" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.files.wordp</span><span class="invisible">ress.com/2025/02/analogy-of-experience.png</span></a></p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/Semiosis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiosis</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <br><a href="https://mathstodon.xyz/tags/JohnDewey" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>JohnDewey</span></a> <a href="https://mathstodon.xyz/tags/Interpreter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpreter</span></a> <a href="https://mathstodon.xyz/tags/Interpretant" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretant</span></a> <a href="https://mathstodon.xyz/tags/Pragmatism" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Pragmatism</span></a> <br><a href="https://mathstodon.xyz/tags/Abduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abduction</span></a> <a href="https://mathstodon.xyz/tags/Deduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Deduction</span></a> <a href="https://mathstodon.xyz/tags/Induction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Induction</span></a> <a href="https://mathstodon.xyz/tags/Analogy" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Analogy</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a></p>
Jon Awbrey<p>Interpreter and Interpretant • Selection 9.2<br>• <a href="https://inquiryintoinquiry.com/2025/01/27/interpreter-and-interpretant-selection-9-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/01</span><span class="invisible">/27/interpreter-and-interpretant-selection-9-a/</span></a></p><p>Transfer —</p><p>In logical terms, the analogy of experience proceeds by inducing a Rule about the validity of a current knowledge base and then by deducing a Fact, the applicability of that knowledge base to a current experience.</p><p>Step 1 is Inductive, abstracting a Rule from a Case and a Fact.</p><p>• Case : E_past ⇒ E_poss, Chosen events fairly sample Collective events.<br>• Fact : E_past ⇒ K_pres, Chosen events support the Knowledge regime.<br>────────────────────────────────────────────────<br>• Rule : E_poss ⇒ K_pres, Collective events support the Knowledge regime.</p><p>Step 2 is Deductive, admitting a Case to a Rule and arriving at a Fact.</p><p>• Case : E_pres ⇒ E_poss, Current events fairly sample Collective events.<br>• Rule : E_poss ⇒ K_pres, Collective events support the Knowledge regime.<br>────────────────────────────────────────────────<br>• Fact : E_pres ⇒ K_pres, Current events support the Knowledge regime.</p><p>References —</p><p>Awbrey, J.L., and Awbrey, S.M. (1995), “Interpretation as Action : The Risk of Inquiry”, Inquiry : Critical Thinking Across the Disciplines 15(1), 40–52.<br>• <a href="https://www.pdcnet.org/inquiryct/content/inquiryct_1995_0015_0001_0040_0052" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">pdcnet.org/inquiryct/content/i</span><span class="invisible">nquiryct_1995_0015_0001_0040_0052</span></a> <br>• <a href="https://www.academia.edu/57812482/Interpretation_as_Action_The_Risk_of_Inquiry" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">academia.edu/57812482/Interpre</span><span class="invisible">tation_as_Action_The_Risk_of_Inquiry</span></a></p><p>Dewey, J. (1910), How We Think, D.C. Heath, Boston, MA. Reprinted (1991), Prometheus Books, Buffalo, NY.<br>• <a href="https://www.gutenberg.org/files/37423/37423-h/37423-h.htm" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">gutenberg.org/files/37423/3742</span><span class="invisible">3-h/37423-h.htm</span></a></p><p>Resources —</p><p>Survey of Abduction, Deduction, Induction, Analogy, Inquiry<br>• <a href="https://inquiryintoinquiry.com/2024/02/27/survey-of-abduction-deduction-induction-analogy-inquiry-4/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/02</span><span class="invisible">/27/survey-of-abduction-deduction-induction-analogy-inquiry-4/</span></a></p><p>Survey of Semiotics, Semiosis, Sign Relations<br>• <a href="https://inquiryintoinquiry.com/2024/01/26/survey-of-semiotics-semiosis-sign-relations-5/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/01</span><span class="invisible">/26/survey-of-semiotics-semiosis-sign-relations-5/</span></a></p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/Semiosis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiosis</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <br><a href="https://mathstodon.xyz/tags/JohnDewey" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>JohnDewey</span></a> <a href="https://mathstodon.xyz/tags/Interpreter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpreter</span></a> <a href="https://mathstodon.xyz/tags/Interpretant" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretant</span></a> <a href="https://mathstodon.xyz/tags/Pragmatism" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Pragmatism</span></a> <br><a href="https://mathstodon.xyz/tags/Abduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abduction</span></a> <a href="https://mathstodon.xyz/tags/Deduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Deduction</span></a> <a href="https://mathstodon.xyz/tags/Induction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Induction</span></a> <a href="https://mathstodon.xyz/tags/Analogy" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Analogy</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a></p>
Jon Awbrey<p>Interpreter and Interpretant • Selection 9.1<br>• <a href="https://inquiryintoinquiry.com/2025/01/27/interpreter-and-interpretant-selection-9-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/01</span><span class="invisible">/27/interpreter-and-interpretant-selection-9-a/</span></a></p><p>Transfer —</p><p>Let's examine how the transfer of knowledge through the analogy of experience works in the case of Dewey's “Sign of Rain” example.</p><p>For concreteness, consider a fragment K_pres of the reasoner's knowledge base which is logically equivalent to a conjunction of two rules.</p><p>• K_pres ⇔ (B ⇒ A) ∧ (B ⇒ D).</p><p>K_pres may be thought of as a piece of knowledge or item of information allowing for the possibility of certain conditions, expressed in the form of a logical constraint on the present universe of discourse.</p><p>It is convenient to have the option of expressing all logical statements in terms of their models, that is, in terms of the primitive circumstances or elements of experience over which they hold true.</p><p>• Let E_past be the chosen set of experiences, or the circumstances in mind under “past experience”.</p><p>• Let E_poss be the collective set of experiences, or the prospective total of possible circumstances.</p><p>• Let E_pres be the current experience, or the circumstances immediately present to the reasoner.</p><p>If we think of the knowledge base K_pres as referring to the “regime of experience” over which it is valid, then the sets of models involved in the analogy may be ordered according to the relationships of set inclusion or logical implication existing among them.</p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/Semiosis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiosis</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <br><a href="https://mathstodon.xyz/tags/JohnDewey" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>JohnDewey</span></a> <a href="https://mathstodon.xyz/tags/Interpreter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpreter</span></a> <a href="https://mathstodon.xyz/tags/Interpretant" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretant</span></a> <a href="https://mathstodon.xyz/tags/Pragmatism" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Pragmatism</span></a> <br><a href="https://mathstodon.xyz/tags/Abduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abduction</span></a> <a href="https://mathstodon.xyz/tags/Deduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Deduction</span></a> <a href="https://mathstodon.xyz/tags/Induction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Induction</span></a> <a href="https://mathstodon.xyz/tags/Analogy" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Analogy</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a></p>
Jon Awbrey<p>Interpreter and Interpretant • Selection 8<br>• <a href="https://inquiryintoinquiry.com/2025/01/24/interpreter-and-interpretant-selection-8-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/01</span><span class="invisible">/24/interpreter-and-interpretant-selection-8-a/</span></a></p><p>Transfer —</p><p>What exactly gives the acquisition of a knowledge base its distinctively inductive character? It is evidently the “analogy of experience” involved in applying what we've learned in the past to what confronts us in the present.</p><p>Whenever we find ourselves approaching a problem with the thought, “If past experience is any guide …” we can be sure the analogy of experience has come into play. We are seeking to find analogies between past experience as a totality and present experience as a point of application.</p><p>From a statistical point of view what we mean is this — “If past experience is a fair sample of possible experience then knowledge gained from past experience may usefully apply to present experience”. It is that mechanism which allows a knowledge base to be carried across gulfs of experience which remain indifferent to the effective contents of its rules.</p><p>Next we'll examine how the transfer of knowledge through the analogy of experience works out in the case of Dewey's “Sign of Rain” example.</p><p>References —</p><p>Awbrey, J.L., and Awbrey, S.M. (1995), “Interpretation as Action : The Risk of Inquiry”, Inquiry : Critical Thinking Across the Disciplines 15(1), 40–52.<br>• <a href="https://www.pdcnet.org/inquiryct/content/inquiryct_1995_0015_0001_0040_0052" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">pdcnet.org/inquiryct/content/i</span><span class="invisible">nquiryct_1995_0015_0001_0040_0052</span></a> <br>• <a href="https://www.academia.edu/57812482/Interpretation_as_Action_The_Risk_of_Inquiry" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">academia.edu/57812482/Interpre</span><span class="invisible">tation_as_Action_The_Risk_of_Inquiry</span></a></p><p>Dewey, J. (1910), How We Think, D.C. Heath, Boston, MA. Reprinted (1991), Prometheus Books, Buffalo, NY.<br>• <a href="https://www.gutenberg.org/files/37423/37423-h/37423-h.htm" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">gutenberg.org/files/37423/3742</span><span class="invisible">3-h/37423-h.htm</span></a></p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/Semiosis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiosis</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <br><a href="https://mathstodon.xyz/tags/JohnDewey" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>JohnDewey</span></a> <a href="https://mathstodon.xyz/tags/Interpreter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpreter</span></a> <a href="https://mathstodon.xyz/tags/Interpretant" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretant</span></a> <a href="https://mathstodon.xyz/tags/Pragmatism" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Pragmatism</span></a> <br><a href="https://mathstodon.xyz/tags/Abduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abduction</span></a> <a href="https://mathstodon.xyz/tags/Deduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Deduction</span></a> <a href="https://mathstodon.xyz/tags/Induction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Induction</span></a> <a href="https://mathstodon.xyz/tags/Analogy" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Analogy</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a></p>
Jon Awbrey<p>Zeroth Law Of Semiotics<br>• <a href="https://inquiryintoinquiry.com/2015/07/30/zeroth-law-of-semiotics/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2015/07</span><span class="invisible">/30/zeroth-law-of-semiotics/</span></a></p><p>Meaning is a privilege not a right.<br>Not all pictures depict.<br>Not all signs denote.</p><p>Meaning is a privilege not a right.<br>Not all pictures depict.<br>Not all signs denote.</p><p>Never confuse a property of a sign,<br>just for instance, existence,<br>with a sign of a property,<br>for instance, existence.</p><p>Taking a property of a sign<br>for a sign of a property<br>is the zeroth sign of<br>nominal thinking<br>and the first<br>mistake.</p><p>Also Sprach 0*<br>9 October 2002</p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Pragmatism" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Pragmatism</span></a> <a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a></p>
Jon Awbrey<p>Interpreter and Interpretant • Selection 7<br>• <a href="https://inquiryintoinquiry.com/2025/01/15/interpreter-and-interpretant-selection-7-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/01</span><span class="invisible">/15/interpreter-and-interpretant-selection-7-a/</span></a></p><p>Learning —</p><p>Rules in a knowledge base, as far as their effective content goes, can be obtained by any mode of inference. For example, consider a proposition of the following form.</p><p>• B ⇒ A, Just Before it rains, the Air is cool.</p><p>Such a proposition is usually induced from a consideration of many past events. The inductive inference may be observed to fit the following pattern.</p><p>• Case : C ⇒ B, In Certain events, it is just Before it rains.<br>• Fact : C ⇒ A, In Certain events, the Air is cool.<br>────────────────────────────────────<br>• Rule : B ⇒ A, Just Before it rains, the Air is cool.</p><p>However, the same proposition could also be abduced as an explanation of a singular occurrence or deduced as a conclusion of a prior theory.</p><p>References —</p><p>Awbrey, J.L., and Awbrey, S.M. (1995), “Interpretation as Action : The Risk of Inquiry”, Inquiry : Critical Thinking Across the Disciplines 15(1), 40–52.<br>• <a href="https://www.pdcnet.org/inquiryct/content/inquiryct_1995_0015_0001_0040_0052" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">pdcnet.org/inquiryct/content/i</span><span class="invisible">nquiryct_1995_0015_0001_0040_0052</span></a> <br>• <a href="https://www.academia.edu/57812482/Interpretation_as_Action_The_Risk_of_Inquiry" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">academia.edu/57812482/Interpre</span><span class="invisible">tation_as_Action_The_Risk_of_Inquiry</span></a></p><p>Dewey, J. (1910), How We Think, D.C. Heath, Boston, MA. Reprinted (1991), Prometheus Books, Buffalo, NY.<br>• <a href="https://www.gutenberg.org/files/37423/37423-h/37423-h.htm" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">gutenberg.org/files/37423/3742</span><span class="invisible">3-h/37423-h.htm</span></a></p><p>Resources —</p><p>Survey of Abduction, Deduction, Induction, Analogy, Inquiry<br>• <a href="https://inquiryintoinquiry.com/2024/02/27/survey-of-abduction-deduction-induction-analogy-inquiry-4/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/02</span><span class="invisible">/27/survey-of-abduction-deduction-induction-analogy-inquiry-4/</span></a></p><p>Survey of Semiotics, Semiosis, Sign Relations<br>• <a href="https://inquiryintoinquiry.com/2024/01/26/survey-of-semiotics-semiosis-sign-relations-5/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/01</span><span class="invisible">/26/survey-of-semiotics-semiosis-sign-relations-5/</span></a></p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <a href="https://mathstodon.xyz/tags/TriadicRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TriadicRelations</span></a> <br><a href="https://mathstodon.xyz/tags/Interpretation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretation</span></a> <a href="https://mathstodon.xyz/tags/Interpreter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpreter</span></a> <a href="https://mathstodon.xyz/tags/Interpretant" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretant</span></a> <a href="https://mathstodon.xyz/tags/Hermeneutics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hermeneutics</span></a> <br><a href="https://mathstodon.xyz/tags/JohnDewey" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>JohnDewey</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a> <a href="https://mathstodon.xyz/tags/Abduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abduction</span></a> <a href="https://mathstodon.xyz/tags/Deduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Deduction</span></a> <a href="https://mathstodon.xyz/tags/Induction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Induction</span></a> <br><a href="https://mathstodon.xyz/tags/Abstraction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abstraction</span></a> <a href="https://mathstodon.xyz/tags/HypostaticAbstraction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HypostaticAbstraction</span></a> <a href="https://mathstodon.xyz/tags/Reflection" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Reflection</span></a></p>
Jon Awbrey<p>Interpreter and Interpretant • Selection 6<br>• <a href="https://inquiryintoinquiry.com/2025/01/13/interpreter-and-interpretant-selection-6-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/01</span><span class="invisible">/13/interpreter-and-interpretant-selection-6-a/</span></a></p><p>Inquiry and Induction —</p><p>To understand the bearing of inductive reasoning on the closing phases of inquiry there are a couple of observations we should make.</p><p>• Smaller inquiries are typically woven into larger inquiries, whether the whole pattern of inquiry is carried on by a single agent or by a complex community.</p><p>• There are several ways particular instances of inquiry are related to ongoing inquiries at larger scales. Three modes of interaction between component inquiries and compound inquiries may be described under the headings of Learning, Transfer, and Testing of Rules.</p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <a href="https://mathstodon.xyz/tags/TriadicRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TriadicRelations</span></a> <br><a href="https://mathstodon.xyz/tags/Interpretation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretation</span></a> <a href="https://mathstodon.xyz/tags/Interpreter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpreter</span></a> <a href="https://mathstodon.xyz/tags/Interpretant" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretant</span></a> <a href="https://mathstodon.xyz/tags/Hermeneutics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hermeneutics</span></a> <br><a href="https://mathstodon.xyz/tags/JohnDewey" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>JohnDewey</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a> <a href="https://mathstodon.xyz/tags/Abduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abduction</span></a> <a href="https://mathstodon.xyz/tags/Deduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Deduction</span></a> <a href="https://mathstodon.xyz/tags/Induction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Induction</span></a> <br><a href="https://mathstodon.xyz/tags/Abstraction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abstraction</span></a> <a href="https://mathstodon.xyz/tags/HypostaticAbstraction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HypostaticAbstraction</span></a> <a href="https://mathstodon.xyz/tags/Reflection" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Reflection</span></a></p>
Jon Awbrey<p>Interpreter and Interpretant • Selection 5<br>• <a href="https://inquiryintoinquiry.com/2025/01/11/interpreter-and-interpretant-selection-5-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/01</span><span class="invisible">/11/interpreter-and-interpretant-selection-5-a/</span></a></p><p>Inquiry and Inference —</p><p>If we follow Dewey's “Sign of Rain” story far enough to consider the import of thought for action, we realize the subsequent conduct of the interpreter, progressing up through the natural conclusion of the episode — the quickening steps, the seeking of shelter in time to escape the rain — all those acts amount to a series of further interpretants for the initially recognized signs of rain and the first impressions of the actual case. Just as critical reflection develops the positive and negative signs which gather about an idea, pragmatic interpretation explores the consequential and contrasting actions which give effective and testable meaning to a person's belief in it.</p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <a href="https://mathstodon.xyz/tags/TriadicRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TriadicRelations</span></a> <br><a href="https://mathstodon.xyz/tags/Interpretation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretation</span></a> <a href="https://mathstodon.xyz/tags/Interpreter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpreter</span></a> <a href="https://mathstodon.xyz/tags/Interpretant" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretant</span></a> <a href="https://mathstodon.xyz/tags/Hermeneutics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hermeneutics</span></a> <br><a href="https://mathstodon.xyz/tags/JohnDewey" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>JohnDewey</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a> <a href="https://mathstodon.xyz/tags/Abduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abduction</span></a> <a href="https://mathstodon.xyz/tags/Deduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Deduction</span></a> <a href="https://mathstodon.xyz/tags/Induction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Induction</span></a> <br><a href="https://mathstodon.xyz/tags/Abstraction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abstraction</span></a> <a href="https://mathstodon.xyz/tags/HypostaticAbstraction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HypostaticAbstraction</span></a> <a href="https://mathstodon.xyz/tags/Reflection" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Reflection</span></a></p>
Jon Awbrey<p>References —</p><p>Dewey, J. (1910), How We Think, D.C. Heath, Boston, MA. Reprinted (1991), Prometheus Books, Buffalo, NY.<br>• <a href="https://www.gutenberg.org/files/37423/37423-h/37423-h.htm" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">gutenberg.org/files/37423/3742</span><span class="invisible">3-h/37423-h.htm</span></a></p><p>Awbrey, J.L., and Awbrey, S.M. (1995), “Interpretation as Action : The Risk of Inquiry”, Inquiry : Critical Thinking Across the Disciplines 15(1), 40–52.<br>• <a href="https://web.archive.org/web/20001210162300/http://chss.montclair.edu/inquiry/fall95/awbrey.html" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">web.archive.org/web/2000121016</span><span class="invisible">2300/http://chss.montclair.edu/inquiry/fall95/awbrey.html</span></a><br>• <a href="https://www.pdcnet.org/inquiryct/content/inquiryct_1995_0015_0001_0040_0052" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">pdcnet.org/inquiryct/content/i</span><span class="invisible">nquiryct_1995_0015_0001_0040_0052</span></a> <br>• <a href="https://www.academia.edu/1266493/Interpretation_as_Action_The_Risk_of_Inquiry" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">academia.edu/1266493/Interpret</span><span class="invisible">ation_as_Action_The_Risk_of_Inquiry</span></a><br>• <a href="https://www.academia.edu/57812482/Interpretation_as_Action_The_Risk_of_Inquiry" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">academia.edu/57812482/Interpre</span><span class="invisible">tation_as_Action_The_Risk_of_Inquiry</span></a></p><p>Resources —</p><p>Survey of Inquiry Driven Systems<br>• <a href="https://inquiryintoinquiry.com/2024/02/28/survey-of-inquiry-driven-systems-6/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/02</span><span class="invisible">/28/survey-of-inquiry-driven-systems-6/</span></a></p><p>Survey of Semiotics, Semiosis, Sign Relations<br>• <a href="https://inquiryintoinquiry.com/2024/01/26/survey-of-semiotics-semiosis-sign-relations-5/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/01</span><span class="invisible">/26/survey-of-semiotics-semiosis-sign-relations-5/</span></a></p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/Semiosis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiosis</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <a href="https://mathstodon.xyz/tags/TriadicRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TriadicRelations</span></a> <br><a href="https://mathstodon.xyz/tags/Cybersemiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Cybersemiotics</span></a> <a href="https://mathstodon.xyz/tags/Interpreter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpreter</span></a> <a href="https://mathstodon.xyz/tags/Interpretant" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretant</span></a> <a href="https://mathstodon.xyz/tags/Hermeneutics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hermeneutics</span></a> <a href="https://mathstodon.xyz/tags/Hermenaut" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hermenaut</span></a> <br><a href="https://mathstodon.xyz/tags/JohnDewey" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>JohnDewey</span></a> <a href="https://mathstodon.xyz/tags/HowWeThink" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HowWeThink</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a> <a href="https://mathstodon.xyz/tags/Abduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abduction</span></a> <a href="https://mathstodon.xyz/tags/Deduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Deduction</span></a> <a href="https://mathstodon.xyz/tags/Induction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Induction</span></a> <br><a href="https://mathstodon.xyz/tags/Abstraction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abstraction</span></a> <a href="https://mathstodon.xyz/tags/HypostaticAbstraction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HypostaticAbstraction</span></a> <a href="https://mathstodon.xyz/tags/Reflection" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Reflection</span></a> <a href="https://mathstodon.xyz/tags/Interpretation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretation</span></a></p>
Jon Awbrey<p>Interpreter and Interpretant • Selection 4<br>• <a href="https://inquiryintoinquiry.com/2025/01/09/interpreter-and-interpretant-selection-4-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/01</span><span class="invisible">/09/interpreter-and-interpretant-selection-4-a/</span></a></p><p>Interpretation and Inquiry —</p><p>To illustrate the role of sign relations in inquiry we begin with Dewey's elegant and simple example of reflective thinking in everyday life.</p><p>❝A man is walking on a warm day. The sky was clear the last time he observed it; but presently he notes, while occupied primarily with other things, that the air is cooler. It occurs to him that it is probably going to rain; looking up, he sees a dark cloud between him and the sun, and he then quickens his steps. What, if anything, in such a situation can be called thought? Neither the act of walking nor the noting of the cold is a thought. Walking is one direction of activity; looking and noting are other modes of activity. The likelihood that it will rain is, however, something suggested. The pedestrian feels the cold; he thinks of clouds and a coming shower.❞ (John Dewey, How We Think, 6–7).</p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/Semiosis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiosis</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <a href="https://mathstodon.xyz/tags/TriadicRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TriadicRelations</span></a> <br><a href="https://mathstodon.xyz/tags/Cybersemiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Cybersemiotics</span></a> <a href="https://mathstodon.xyz/tags/Interpreter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpreter</span></a> <a href="https://mathstodon.xyz/tags/Interpretant" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretant</span></a> <a href="https://mathstodon.xyz/tags/Hermeneutics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hermeneutics</span></a> <a href="https://mathstodon.xyz/tags/Hermenaut" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hermenaut</span></a> <br><a href="https://mathstodon.xyz/tags/JohnDewey" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>JohnDewey</span></a> <a href="https://mathstodon.xyz/tags/HowWeThink" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HowWeThink</span></a> <a href="https://mathstodon.xyz/tags/Inquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Inquiry</span></a> <a href="https://mathstodon.xyz/tags/Abduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abduction</span></a> <a href="https://mathstodon.xyz/tags/Deduction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Deduction</span></a> <a href="https://mathstodon.xyz/tags/Induction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Induction</span></a> <br><a href="https://mathstodon.xyz/tags/Abstraction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abstraction</span></a> <a href="https://mathstodon.xyz/tags/HypostaticAbstraction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HypostaticAbstraction</span></a> <a href="https://mathstodon.xyz/tags/Reflection" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Reflection</span></a> <a href="https://mathstodon.xyz/tags/Interpretation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretation</span></a></p>
Jon Awbrey<p>Reference —</p><p>Peirce, C.S. (1866), “The Logic of Science, or, Induction and Hypothesis”, Lowell Lectures of 1866, pp. 357–504 in Writings of Charles S. Peirce : A Chronological Edition, Volume 1, 1857–1866, Peirce Edition Project, Indiana University Press, Bloomington, IN, 1982.</p><p>Resources —</p><p>Hypostatic Abstraction<br>• <a href="https://inquiryintoinquiry.com/2008/08/08/hypostatic-abstraction/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2008/08</span><span class="invisible">/08/hypostatic-abstraction/</span></a></p><p>Survey of Semiotics, Semiosis, Sign Relations<br>• <a href="https://inquiryintoinquiry.com/2024/01/26/survey-of-semiotics-semiosis-sign-relations-5/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2024/01</span><span class="invisible">/26/survey-of-semiotics-semiosis-sign-relations-5/</span></a></p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/Semiosis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiosis</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <a href="https://mathstodon.xyz/tags/TriadicRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TriadicRelations</span></a> <br><a href="https://mathstodon.xyz/tags/Cybersemiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Cybersemiotics</span></a> <a href="https://mathstodon.xyz/tags/Interpreter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpreter</span></a> <a href="https://mathstodon.xyz/tags/Interpretant" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretant</span></a> <a href="https://mathstodon.xyz/tags/Hermeneutics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hermeneutics</span></a> <a href="https://mathstodon.xyz/tags/Hermenaut" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hermenaut</span></a> <br><a href="https://mathstodon.xyz/tags/Abstraction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abstraction</span></a> <a href="https://mathstodon.xyz/tags/HypostaticAbstraction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HypostaticAbstraction</span></a> <a href="https://mathstodon.xyz/tags/SopToCerberus" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SopToCerberus</span></a> <a href="https://mathstodon.xyz/tags/Interpretation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretation</span></a></p>
Jon Awbrey<p>❝I think we need to reflect upon the circumstance that every word implies some proposition or, what is the same thing, every word, concept, symbol has an equivalent term — or one which has become identified with it, — in short, has an “interpretant”.</p><p>❝Consider, what a word or symbol is; it is a sort of representation. Now a representation is something which stands for something. I will not undertake to analyze, this evening, this conception of standing for something — but, it is sufficiently plain that it involves the standing to something for something. A thing cannot stand for something without standing to something for that something. Now, what is this that a word stands to? Is it a person?</p><p>❝We usually say that the word “homme” stands to a Frenchman for “man”. It would be a little more precise to say that it stands to the Frenchman's mind — to his memory. It is still more accurate to say that it addresses a particular remembrance or image in that memory. And what “image”, what remembrance? Plainly, the one which is the mental equivalent of the word “homme” — in short, its interpretant. Whatever a word addresses then or stands to, is its interpretant or identified symbol. […]</p><p>❝The interpretant of a term, then, and that which it stands to are identical. Hence, since it is of the very essence of a symbol that it should stand to something, every symbol — every word and every “conception” — must have an interpretant — or what is the same thing, must have information or implication.❞ (Peirce 1866, Chronological Edition 1, pp. 466–467).</p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/Semiosis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiosis</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <a href="https://mathstodon.xyz/tags/TriadicRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TriadicRelations</span></a> <br><a href="https://mathstodon.xyz/tags/Cybersemiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Cybersemiotics</span></a> <a href="https://mathstodon.xyz/tags/Interpreter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpreter</span></a> <a href="https://mathstodon.xyz/tags/Interpretant" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretant</span></a> <a href="https://mathstodon.xyz/tags/Hermeneutics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hermeneutics</span></a> <a href="https://mathstodon.xyz/tags/Hermenaut" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hermenaut</span></a></p>
Jon Awbrey<p>Interpreter and Interpretant • Selection 3<br>• <a href="https://inquiryintoinquiry.com/2025/01/08/interpreter-and-interpretant-selection-3-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2025/01</span><span class="invisible">/08/interpreter-and-interpretant-selection-3-a/</span></a></p><p>The following selection from Peirce's “Lowell Lectures on the Logic of Science” (1866) lays out in detail his “metaphorical argument” for the relationship between interpreters and interpretant signs.</p><p><a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Semiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiotics</span></a> <a href="https://mathstodon.xyz/tags/Semiosis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiosis</span></a> <a href="https://mathstodon.xyz/tags/SignRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SignRelations</span></a> <a href="https://mathstodon.xyz/tags/TriadicRelations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TriadicRelations</span></a> <br><a href="https://mathstodon.xyz/tags/Cybersemiotics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Cybersemiotics</span></a> <a href="https://mathstodon.xyz/tags/Interpreter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpreter</span></a> <a href="https://mathstodon.xyz/tags/Interpretant" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretant</span></a> <a href="https://mathstodon.xyz/tags/Hermeneutics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hermeneutics</span></a> <a href="https://mathstodon.xyz/tags/Hermenaut" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hermenaut</span></a> <br><a href="https://mathstodon.xyz/tags/Abstraction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abstraction</span></a> <a href="https://mathstodon.xyz/tags/HypostaticAbstraction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HypostaticAbstraction</span></a> <a href="https://mathstodon.xyz/tags/SopToCerberus" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SopToCerberus</span></a> <a href="https://mathstodon.xyz/tags/Interpretation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Interpretation</span></a></p>
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