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Tag Archives: Mathematics
⚠ 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
What It Is
Re: Gil Kalai If I remember my long ago readings well enough, Jimmy the Ancient Greek could lay odds as well as any modern bookmaker on the outcomes of Olympic contests, but that was not really the point of Zeno’s … Continue reading
Posted in Logic, Mathematics, Phenomenology, Change, Zeno, Motion, Paradox, Infinity, Parmenides, Heraclitus
Tagged Mathematics, Logic, Phenomenology, Change, Infinity, Motion, Paradox, Zeno, Parmenides, Heraclitus
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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
Riffs and Rotes : 2
Re: Peter Cameron The interaction between addition and multiplication in the natural numbers has long been an interest of mine, leading to broader questions about the relationship between algebra and combinatorics. My gropings with these enigmas led me to the … 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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Notes On Categories : 1
Continued from “Notes On Categories” (14 Jul 2003) • Inquiry List • Ontology List NB. This page is a work in progress. I will have to dig up some still older notes from the days of pen and paper before … Continue reading
Château Descartes
But if we are to select those dimensions which will be of the greatest assistance to our imagination, we should never attend to more than one or two of them as depicted in our imagination, even though we are well … Continue reading
Posted in Analytic Geometry, Cartesian Coordinate System, Cartesian Philosophy, Cartesian Product, Descartes, Dualism, Dyadicism, Inquiry, Logic, Mathematics, Philosophy, Reductionism, Relation Theory
Tagged Analytic Geometry, Cartesian Coordinate System, Cartesian Philosophy, Cartesian Product, Descartes, Dualism, Dyadicism, Inquiry, Logic, Mathematics, Philosophy, Reductionism, Relation Theory
3 Comments
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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Propositions As Types : 1
Re: Richard J. Lipton One of my favorite tricks — it seems almost too tricky to be true — is the Propositions As Types Analogy. And I seem to see hints that the 2-part analogy can be extended to a … Continue reading
Posted in Combinator Calculus, Combinatory Logic, Computation, Computer Science, Formal Language Theory, Graph Theory, Lambda Calculus, Logic, Logical Graphs, Mathematics, Programming Languages, Propositions As Types Analogy, Type Theory
Tagged Combinator Calculus, Combinatory Logic, Computation, Computer Science, Formal Language Theory, Graph Theory, Lambda Calculus, Logic, Logical Graphs, Mathematics, Programming Languages, Propositions As Types Analogy, Type Theory
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