Monthly Archives: May 2023

Inquiry Into Inquiry • On Initiative 5

Posted on May 22, 2023 by Jon Awbrey

Re: Inquiry Into Inquiry • On Initiative 2 Re: Mathstodon • Joeri Sebrechts JS: That’s not how it works.  The model lacks agency.  It is a machine whose gears are cranked by the user’s prompt.  It can ask questions, but … Continue reading →

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Mathematical Demonstration and the Doctrine of Individuals • 2

Posted on May 16, 2023 by Jon Awbrey

Selection from C.S. Peirce’s “Logic Of Relatives” (1870) In reference to the doctrine of individuals, two distinctions should be borne in mind.  The logical atom, or term not capable of logical division, must be one of which every predicate may … Continue reading →

Posted in C.S. Peirce, Deduction, Doctrine of Individuals, Foundations of Mathematics, Identity, Information = Comprehension × Extension, Logic, Logic of Relatives, Mathematical Demonstration, Mathematics, Relation Theory | Tagged , , , , , , , , , , | 2 Comments

Mathematical Demonstration and the Doctrine of Individuals • 1

Posted on May 16, 2023 by Jon Awbrey

Selection from C.S. Peirce’s “Logic Of Relatives” (1870) Demonstration of the sort called mathematical is founded on suppositions of particular cases.  The geometrician draws a figure;  the algebraist assumes a letter to signify a single quantity fulfilling the required conditions.  … Continue reading →

Posted in C.S. Peirce, Deduction, Doctrine of Individuals, Foundations of Mathematics, Identity, Information = Comprehension × Extension, Logic, Logic of Relatives, Mathematical Demonstration, Mathematics, Relation Theory | Tagged , , , , , , , , , , | 2 Comments

Inquiry Into Inquiry • On Initiative 4

Posted on May 15, 2023 by Jon Awbrey

Re: Terry Tao • PCAST Working Group on Generative AI Invites Public Input My Comment — I think a lot of people who’ve been working all along on AI, intelligent systems, and computational extensions of human capacities in general are … Continue reading →

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Systems of Interpretation • 3

Posted on May 10, 2023 by Jon Awbrey

Re: Peirce List • Mike Bergman • Valentine Daniel The “triskelion” figure in the previous post shows the bare essentials of an elementary sign relation or individual triple   There’s a less skeletal figure Susan Awbrey and I used in … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Systems of Interpretation, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 1 Comment

Systems of Interpretation • 2

Posted on May 7, 2023 by Jon Awbrey

Re: Peirce List • Mike Bergman • Valentine Daniel Let’s start as simply as possible.  The following Figure is typical of many I have used to illustrate sign relations from the time I first began studying Peirce’s theory of signs. … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Systems of Interpretation, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 2 Comments

Systems of Interpretation • 1

Posted on May 5, 2023 by Jon Awbrey

Re: Peirce List • Mike Bergman • Valentine Daniel Questions have arisen about the different styles of diagrams and figures used to represent triadic sign relations in Peircean semiotics.  What do they mean?  Which style is best?  Among the most … Continue reading →

Posted in C.S. Peirce, Diagrammatic Reasoning, Interpretive Frameworks, Logic, Logical Graphs, Objective Frameworks, Relation Theory, Semiotics, Sign Relations, Systems of Interpretation, Triadic Relations, Visualization | Tagged , , , , , , , , , , , | 2 Comments

Inquiry Into Inquiry • On Initiative 3

Posted on May 1, 2023 by Jon Awbrey

Re: Scott Aaronson • Should GPT Exist? • My Comment The more fundamental problem I see here is the failure to grasp the nature of the task at hand, and this I attribute not to a program but to its … Continue reading →

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