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- ⚠ It’s A Trap ⚠
- Triadic Relation Irreducibility : 3
- grabitational singularity
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- Paint Creek • 10 January 2013
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- Why am I afraid of writing what I know?
- Constraints and Indications : 1
- Theme One • A Program Of Inquiry : 2
- Theme One • A Program Of Inquiry : 1
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- Demonstrative And Otherwise
- Paradigms, Playgrounds, Programmes, Programs
- Triadic Relations, Intentions, Fuzzy Subsets • Discussion 3
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⚠ It’s A Trap ⚠
Re: Kenneth W. Regan The most common mathematical trap I run across has to do with Triadic Relation Irreducibility, as noted and treated by the polymath C.S. Peirce. This trap lies in the mistaken belief that every 3-place (triadic or ternary) … Continue reading
Posted in Error, Fallibility, Logic, Logic of Relatives, Mathematical Traps, Mathematics, Peirce, Philosophy, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity
Tagged Error, Fallibility, Logic, Logic of Relatives, Mathematical Traps, Mathematics, Peirce, Philosophy, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity
4 Comments
Triadic Relation Irreducibility : 3
References Relation Theory MyWikiBiz PlanetMath Sign Relations MyWikiBiz PlanetMath Triadic Relations MyWikiBiz PlanetMath Relation Composition MyWikiBiz PlanetMath Relation Construction MyWikiBiz PlanetMath Relation Reduction MyWikiBiz PlanetMath Related Readings Notes on Peirce’s 1870 Logic of Relatives Interpretation as Action : The Risk … Continue reading
Posted in Logic, Logic of Relatives, Mathematics, Peirce, Philosophy, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity
Tagged Logic, Logic of Relatives, Mathematics, Peirce, Philosophy, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity
1 Comment
I Wonder, Wonder Who
Re: Who Invented Boolean Functions? The question recalls recent discussions of discovery and invention in the mathematical field, bringing back to mind questions I’ve wondered about for as long as I can remember. Speaking as an unreconstructed Platonic realist, I … Continue reading
Posted in Anamnesis, Aristotle, Boole, Boolean Functions, Discovery, Invention, Learning, Logic, Mathematics, Meno, Model Theory, Peirce, Plato, Propositional Calculus, Recollection, Semiotics, Socrates, Teaching
Tagged Anamnesis, Aristotle, Boole, Boolean Functions, Discovery, Invention, Learning, Logic, Mathematics, Meno, Model Theory, Peirce, Plato, Propositional Calculus, Recollection, Semiotics, Socrates, Teaching
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Theme One • A Program Of Inquiry : 4
Re: Next Polymath Project • What, When, Where? Here is a bit of data on the Theme One Program that I worked on all through the 1980s. The aim was to develop fundamental algorithms and data structures to support an … Continue reading
Posted in Artificial Intelligence, Computation, Cybernetics, Formal Language Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Learning Theory, Logic, Peirce, Programming, Semiotics, Systems Theory
Tagged Artificial Intelligence, Computation, Cybernetics, Formal Language Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Learning Theory, Logic, Peirce, Programming, Semiotics, Systems Theory
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The Difference That Makes A Difference That Peirce Makes : 1
Peircers, Being one who does not view Peirce’s work as a flickering foreshadowing of analytic philosophy, logical whatevism, or anything else you want to call it, but leans more to thinking of the latter philosophies as fumbling fallbacks losing what … Continue reading
Posted in Inquiry, Logic, Mathematics, Peirce, Philosophy, Pragmatism, Science, Scientific Method, Semiotics
Tagged Inquiry, Logic, Mathematics, Peirce, Philosophy, Pragmatism, Science, Scientific Method, Semiotics
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Plato’s Puppet Returns
Re: Peter Cameron Between the discovery and the invention, Falls the Shadow, who knows, you know, By tracking backward, retracing the steps Of the tourist, who comes not to conquer, But to enjoy the winding stair to the place. That … Continue reading
Posted in Artificial Intelligence, Discovery, Education, Epistemology, Inquiry, Inquiry Driven Systems, Intelligent Systems, Invention, Learning, Meno, Philosophy, Plato, Psychology, Semiotics, Socrates, Teaching
Tagged Artificial Intelligence, Discovery, Education, Epistemology, Inquiry, Inquiry Driven Systems, Intelligent Systems, Invention, Learning, Meno, Philosophy, Plato, Psychology, Semiotics, Socrates, Teaching
3 Comments
Theme One • A Program Of Inquiry : 3
Re: Gary Richmond Peircers, The program I wrote for my M.A. in Psych was barely a prototype, a “test of concept”, as they say, but I continued to develop and apply the underlying collection of ideas to a number of … Continue reading
Posted in Artificial Intelligence, Computation, Cybernetics, Formal Language Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Learning Theory, Logic, Peirce, Programming, Semiotics, Systems Theory
Tagged Artificial Intelligence, Computation, Cybernetics, Formal Language Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Learning Theory, Logic, Peirce, Programming, Semiotics, Systems Theory
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Constraints and Indications : 1
Re: Christophe Menant • (1) • (2) The system-theoretic concept of “constraint” is one that unifies a manifold of other notions — definition, determination, habit, information, law, predicate, regularity, and so on. Indeed, it is often the best way to … Continue reading
Posted in Artificial Intelligence, Constraint, Control, Cybernetics, Indication, Information, Inquiry, Inquiry Driven Systems, Intelligent Systems, Intentionality, Learning Theory, Machine Learning, Peirce, Semiotics, Systems Theory, Uncertainty
Tagged Artificial Intelligence, Constraint, Control, Cybernetics, Indication, Information, Inquiry, Inquiry Driven Systems, Intelligent Systems, Intentionality, Learning Theory, Machine Learning, Peirce, Semiotics, Systems Theory, Uncertainty
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Theme One • A Program Of Inquiry : 2
Re: Jerry Chandler Peircers, I’ve been assembling and continuing to develop what documentation I have on the following page: Theme One Program I think I was probably the first person in that particular psychology department to submit a program as … Continue reading
Posted in Artificial Intelligence, Computation, Cybernetics, Formal Language Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Learning Theory, Logic, Peirce, Programming, Semiotics, Systems Theory
Tagged Artificial Intelligence, Computation, Cybernetics, Formal Language Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Learning Theory, Logic, Peirce, Programming, Semiotics, Systems Theory
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Theme One • A Program Of Inquiry : 1
Re: Jerry Chandler et al. Peircers, I view psychology, throughout its many branches, as a fascinating and compelling collection of subjects, so much so that I spent one of my parallel lives in the 1980s earning a Master’s degree in … Continue reading
Posted in Artificial Intelligence, Computation, Cybernetics, Formal Language Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Learning Theory, Logic, Peirce, Programming, Semiotics, Systems Theory
Tagged Artificial Intelligence, Computation, Cybernetics, Formal Language Theory, Inquiry, Inquiry Driven Systems, Intelligent Systems, Learning Theory, Logic, Peirce, Programming, Semiotics, Systems Theory
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