Category Archives: Paradigmata

Survey of Abduction, Deduction, Induction, Analogy, Inquiry • 1

This is a Survey of blog and wiki posts on three elementary forms of inference, as recognized by a logical tradition extending from Aristotle through Charles S. Peirce.  Particular attention is paid to the ways these inferential rudiments combine to … Continue reading

Posted in Abduction, Aristotle, C.S. Peirce, Deduction, Dewey, Discovery, Doubt, Fixation of Belief, Functional Logic, Icon Index Symbol, Induction, Inference, Information, Inquiry, Invention, Logic, Logic of Science, Mathematics, Morphism, Paradigmata, Paradigms, Pattern Recognition, Peirce, Philosophy, Pragmatic Maxim, Pragmatism, Scientific Inquiry, Scientific Method, Semiotics, Sign Relations, Surveys, Syllogism, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 4 Comments

Forest Primeval → Riffs & Rotes

Re: Shifting Paradigms? • (1) • (2) • (3) • (4) • (5) • (6) Prompted by the discussion of Catalan numbers on the Foundations Of Math List, I dug up a few pieces of early correspondence and later discussions that … Continue reading

Posted in Algebra, Arithmetic, C.S. Peirce, Catalan Numbers, Combinatorics, Forest Primeval, Foundations of Mathematics, Gödel Numbers, Graph Theory, Group Theory, H.W. Gould, Integer Sequences, Logic, Martin Gardner, Mathematics, Neil Sloane, Number Theory, Paradigmata, Peirce, Planted Plane Trees, Programming, Riffs and Rotes | Tagged , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Strangers In Paradise

Re: Kilvington’s Sophismata Comment 1 On the one hand Aristotle gives us the logic of analogy (παραδειγμα). On the other hand he cautions us that different paradigms may have no common measure. It seems these Immortals are always getting ahead … Continue reading

Posted in Albert Camus, Analogy, Aristotle, Differential Logic, Eleatic Stranger, Heraclitus, Incommensurability, Logic, Metabasis, Paradigmata, Paradox, Parmenides, Plato, Richard Kilvington, Sisyphus, Sophismata, Thomas Kuhn, Zeno | Tagged , , , , , , , , , , , , , , , , , | Leave a comment