Tag Archives: Computation

¿Shifting Paradigms? • 6

Re: Peter Cameron • Infinity and Foundation C.S. Peirce is one who recognized the constitutional independence of mathematical inquiry, finding at its core a mode of operation tantamount to observation and more primitive than logic itself.  Here is one place … Continue reading

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¿Shifting Paradigms? • 5

Re: Peter Cameron • Infinity and Foundation We always encounter a multitude of problems whenever we try to rationalize mathematics by reducing it to logic, where logic itself is reduced to a purely deductive style.  A number of thinkers have … Continue reading

Posted in Algorithms, Boole, C.S. Peirce, Combinatorics, Computation, Foundations of Mathematics, Inquiry, Laws of Form, Leibniz, Logic, Mathematics, Model Theory, Paradigms, Peirce, Proof Theory, Spencer Brown | Tagged , , , , , , , , , , , , , , , | 3 Comments

Abduction, Deduction, Induction, Analogy, Inquiry : 24

Re: Peirce List Discussion • Jon Alan Schmidt Peirce’s categories are best viewed as categories of relations.  To a first approximation, firstness, secondness, thirdness are simply what all monadic, dyadic, triadic relations, respectively, have in common.  At a second approximation, … Continue reading

Posted in Abduction, Analogy, Aristotle, Artificial Intelligence, C.S. Peirce, Computation, Computational Complexity, Deduction, Induction, Inquiry, Inquiry Driven Systems, Intelligent Systems, Logic, Peirce, Problem Solving, Semiotics | Tagged , , , , , , , , , , , , , , , | 3 Comments

Abduction, Deduction, Induction, Analogy, Inquiry : 23

Re: Peirce List Discussion • BU • JA • GR • GR • JS These days it takes me a web search to discover what I was thinking and writing the month before.  I went looking for the passage in … Continue reading

Posted in Abduction, Analogy, Aristotle, Artificial Intelligence, Computation, Computational Complexity, Deduction, Induction, Inquiry, Inquiry Driven Systems, Intelligent Systems, Logic, Peirce, Problem Solving, Semiotics | Tagged , , , , , , , , , , , , , , | 2 Comments

Abduction, Deduction, Induction, Analogy, Inquiry : 22

Re: Peirce List Discussion • J. Rhee • T. Gollier • E. Taborsky All through 1995 I worked on a graduate project in systems engineering at Oakland University developing my ideas about Inquiry Driven Systems.  I wrote a project report … Continue reading

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Abduction, Deduction, Induction, Analogy, Inquiry : 21

Re: Peirce List Discussion • J. Rhee • T. Gollier • E. Taborsky Given a working hypothesis, as abduced in the previous post, the next phase of inquiry uses deductive inference to expand the implied consequences of the abductive hypothesis, … Continue reading

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Abduction, Deduction, Induction, Analogy, Inquiry : 20

Re: Peirce List Discussion • J. Rhee • T. Gollier • E. Taborsky In passing from a sign-relational account to a propositional analysis of Dewey’s story there is an old mathematical trick, analogous to the method of adding fractions by … Continue reading

Posted in Abduction, Analogy, Aristotle, Artificial Intelligence, Computation, Computational Complexity, Deduction, Induction, Inquiry, Inquiry Driven Systems, Intelligent Systems, Logic, Peirce, Problem Solving, Semiotics | Tagged , , , , , , , , , , , , , , | 2 Comments