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#reflectiveinterpretiveframeworks

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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>
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>
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