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- ⚠ It’s A Trap ⚠
- Triadic Relation Irreducibility : 3
- grabitational singularity
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- repetition wears on the human soul
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- Paint Creek • 10 January 2013
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- Theme One • A Program Of Inquiry : 2
- Theme One • A Program Of Inquiry : 1
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- Triadic Relations, Intentions, Fuzzy Subsets • Discussion 3
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Tag Archives: Peirce
⚠ 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
Information = Comprehension × Extension : 1
Re: A Most Perplexing Mystery The inverse relationship between symmetry and diversity — that we see for example in the lattice-inverting map of a Galois correspondence — is a variation on an old theme in logic called the “inverse proportionality … Continue reading
Posted in Inquiry, Peirce, Logic, Information, Logic of Science, Comprehension, Extension, Intension
Tagged Inquiry, Peirce, Information, Logic, Logic of Science, Comprehension, Extension, Intension
10 Comments
Finding a Needle in a Cactus Patch
Re: Sex, Lies, And Quantum Computers Don’t know much about quantum computation, but my ventures in graphical syntaxes for propositional calculus did turn up a logical operator whose evaluation process reminded me a little of the themes involved in the … Continue reading
Absurdum Quid
I am thus justified in saying that the feeling of absurdity does not spring from the mere scrutiny of a fact or an impression, but that it bursts from the comparison between a bare fact and a certain reality, between … Continue reading
Posted in Absurdity, Albert Camus, Existentialism, Inquiry, Method, Peirce, Pragmatic Maxim, Pragmatism, Sisyphus, Tertium Quid, Thirdness, Triadicity
Tagged Absurdity, Albert Camus, Existentialism, Inquiry, Method, Peirce, Pragmatic Maxim, Pragmatism, Sisyphus, Tertium Quid, Thirdness, Triadicity
1 Comment
Slip Slidin’ Away
Re: Zeno Proof Paradox And you give me the choice between a description that is sure but that teaches me nothing and hypotheses that claim to teach me but that are not sure. — Albert Camus • The Myth of … Continue reading
Posted in Albert Camus, Change, Infinity, Lewis Carroll, Logic, Mathematics, Meno, Modus Ponens, Motion, Paradox, Peirce, Phenomenology, Sisyphus, Syllogism, Zeno
Tagged Albert Camus, Change, Infinity, Lewis Carroll, Logic, Mathematics, Meno, Modus Ponens, Motion, Paradox, Peirce, Phenomenology, Sisyphus, Syllogism, Zeno
2 Comments
Pragmatism Meets Absurdity
At the streetcorner … At any streetcorner the feeling of absurdity can strike any man in the face. As it is, in its distressing nudity, in its light without effulgence, it is elusive. But that very difficulty deserves reflection. It … Continue reading
Posted in Absurdity, Albert Camus, Existentialism, Peirce, Pragmatic Maxim, Pragmatism, Sisyphus
Tagged Absurdity, Albert Camus, Existentialism, Peirce, Pragmatic Maxim, Pragmatism, Sisyphus
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Indicator Functions : 1
Re: Who Invented Boolean Functions? One of the things that it helps to understand about 19th Century mathematicians, and those who built the bridge to the 20th, is that they were capable of high abstraction — in Peirce’s case a … Continue reading
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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