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#isomorphism

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Jon Awbrey<p>In the Way of Inquiry • Formal Apology 3<br>• <a href="https://inquiryintoinquiry.com/2023/01/12/in-the-way-of-inquiry-formal-apology-a/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2023/01</span><span class="invisible">/12/in-the-way-of-inquiry-formal-apology-a/</span></a></p><p>Explosional Recombinations —</p><p>Another obstacle to inquiry is posed by the combinatorial explosion of questions arising in complex cases. The embarrassment of riches found here is deceptively deadly to the ends of inquiry in the very measure it appears so productive at first. An eye to form provides a way to manage the wealth of material diversity by identifying formal similarities among materially distinct domains. It allows the same formal answer to unify a host of concrete questions under a single roof, overall reducing the number of distinct topics that need to be covered.</p><p>Overview<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>Obstacles<br>• <a href="https://oeis.org/wiki/Inquiry_Driven_Systems_%E2%80%A2_Part_5#Obstacles" 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_5#Obstacles</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/InquiryIntoInquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>InquiryIntoInquiry</span></a> <a href="https://mathstodon.xyz/tags/InquiryDrivenSystems" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>InquiryDrivenSystems</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/Semiositis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Semiositis</span></a> <a href="https://mathstodon.xyz/tags/ObstaclesToInquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ObstaclesToInquiry</span></a> <br><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/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/ScientificMethod" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ScientificMethod</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/Form" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Form</span></a> <a href="https://mathstodon.xyz/tags/Isomorphism" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Isomorphism</span></a> <a href="https://mathstodon.xyz/tags/Combinatorics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Combinatorics</span></a> <a href="https://mathstodon.xyz/tags/Complexity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Complexity</span></a></p>
Jon Awbrey<p>In the Way of Inquiry • Formal Apology 7<br>• <a href="https://inquiryintoinquiry.com/2023/01/12/in-the-way-of-inquiry-formal-apology-2/" rel="nofollow noopener noreferrer" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2023/01</span><span class="invisible">/12/in-the-way-of-inquiry-formal-apology-2/</span></a></p><p>Explosional Recombinations</p><p>An eye to form provides a&nbsp;way to manage the wealth of material diversity by identifying formal similarities among materially distinct domains. It allows the same formal answer to unify a host of concrete questions under a single roof, reducing the variety of topics requiring coverage.</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/InquiryIntoInquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>InquiryIntoInquiry</span></a> <a href="https://mathstodon.xyz/tags/InquiryDrivenSystems" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>InquiryDrivenSystems</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/Form" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Form</span></a> <a href="https://mathstodon.xyz/tags/Isomorphism" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Isomorphism</span></a> <a href="https://mathstodon.xyz/tags/Combinatorics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Combinatorics</span></a> <a href="https://mathstodon.xyz/tags/Complexity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Complexity</span></a></p>
Jon Awbrey<p>In the Way of Inquiry • Formal Apology 6<br>• <a href="https://inquiryintoinquiry.com/2023/01/12/in-the-way-of-inquiry-formal-apology-2/" rel="nofollow noopener noreferrer" target="_blank"><span class="invisible">https://</span><span class="ellipsis">inquiryintoinquiry.com/2023/01</span><span class="invisible">/12/in-the-way-of-inquiry-formal-apology-2/</span></a></p><p>Explosional Recombinations</p><p>Another obstacle to inquiry is posed by the combinatorial explosion of questions arising in complex cases. The embarrassment of riches found here is deceptively deadly to the ends of inquiry in the very measure it appears so productive at first.</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/InquiryIntoInquiry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>InquiryIntoInquiry</span></a> <a href="https://mathstodon.xyz/tags/InquiryDrivenSystems" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>InquiryDrivenSystems</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/Form" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Form</span></a> <a href="https://mathstodon.xyz/tags/Isomorphism" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Isomorphism</span></a> <a href="https://mathstodon.xyz/tags/Combinatorics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Combinatorics</span></a> <a href="https://mathstodon.xyz/tags/Complexity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Complexity</span></a></p>
Jon Awbrey<p><a href="https://mathstodon.xyz/tags/LogicalGraphs" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>LogicalGraphs</span></a> • 5<br>• <a href="https://oeis.org/w/index.php?title=Logical_Graphs&amp;stable=0&amp;redirect=no#Abstract_POV" rel="nofollow noopener noreferrer" target="_blank"><span class="invisible">https://</span><span class="ellipsis">oeis.org/w/index.php?title=Log</span><span class="invisible">ical_Graphs&amp;stable=0&amp;redirect=no#Abstract_POV</span></a></p><p><a href="https://mathstodon.xyz/tags/AbstractPointOfView" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>AbstractPointOfView</span></a> —</p><p>We may note in passing historical details like the fact Charles Sanders <a href="https://mathstodon.xyz/tags/Peirce" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Peirce</span></a> used a <a href="https://mathstodon.xyz/tags/StreamerCross" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>StreamerCross</span></a> symbol where George <a href="https://mathstodon.xyz/tags/SpencerBrown" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SpencerBrown</span></a> used a <a href="https://mathstodon.xyz/tags/CarpentersSquare" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>CarpentersSquare</span></a> marker but the themes of primary interest at the abstract level of form are indifferent to variations of that order.</p><p><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/PropositionalCalculus" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PropositionalCalculus</span></a> <a href="https://mathstodon.xyz/tags/BooleanFunctions" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>BooleanFunctions</span></a><br><a href="https://mathstodon.xyz/tags/Form" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Form</span></a> <a href="https://mathstodon.xyz/tags/Idea" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Idea</span></a> <a href="https://mathstodon.xyz/tags/Isomorphism" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Isomorphism</span></a> <a href="https://mathstodon.xyz/tags/MathematicalPerspective" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MathematicalPerspective</span></a><br><a href="https://mathstodon.xyz/tags/LawsOfForm" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>LawsOfForm</span></a> <a href="https://mathstodon.xyz/tags/GraphTheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>GraphTheory</span></a> <a href="https://mathstodon.xyz/tags/ModelTheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ModelTheory</span></a> <a href="https://mathstodon.xyz/tags/ProofTheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ProofTheory</span></a></p>
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