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Monthly Archives: June 2013
What Is A Theorem That A Human May Prove It?
Re: Gil Kalai • Why Is Mathematics Possible? • Tim Gowers’ Take On The Matter Comment 1 To the extent that mathematics has to do with reasoning about possible existence, or inference from pure hypothesis, a line of thinking going … Continue reading
Posted in Abduction, Analogy, Aristotle, C.S. Peirce, Conjecture, Deduction, Epistemology, Hypothesis, Induction, Inquiry, Logic, Logic of Science, Mathematics, Peirce, Proof Theory, Retroduction, Theorem Proving, Warren S. McCulloch
Tagged Abduction, Analogy, Aristotle, C.S. Peirce, Conjecture, Deduction, Epistemology, Hypothesis, Induction, Inquiry, Logic, Logic of Science, Mathematics, Peirce, Proof Theory, Retroduction, Theorem Proving, Warren S. McCulloch
2 Comments
C.S. Peirce • The Proper Treatment of Hypotheses
Selection from C.S. Peirce, “Hume On Miracles” (1901), CP 6.522–547 530. Now the testing of a hypothesis is usually more or less costly. Not infrequently the whole life’s labor of a number of able men is required to disprove a … Continue reading
Posted in Abduction, Hypothesis, Inquiry, Logic of Science, Peirce, References, Retroduction, Sources
Tagged Abduction, Hypothesis, Inquiry, Logic of Science, Peirce, References, Retroduction, Sources
1 Comment
Moneytheism
Re: Cathy O’Neil • Profit as Proxy for Value There is a deep and pervasive analogy between systems of commerce and systems of communication, turning on their near-universal use of symbola (images, media, proxies, signs, symbols, tokens, etc.) to stand … Continue reading
Posted in Commerce, Communication, Economics, Moneytheism, Semiotics, Sign Relations
Tagged Commerce, Communication, Economics, Moneytheism, Semiotics, Sign Relations
6 Comments
Fourier Transforms of Boolean Functions • 2
Re: R.J. Lipton and K.W. Regan • Twin Primes Are Useful Note. Just another sheet of scratch paper, exploring possible alternatives to the Fourier transforms in the previous post. As a rule, I like to keep Boolean problems in Boolean … Continue reading
Wherefore Aught?
Re: R.J. Lipton and K.W. Regan • Why Is There Something? Here is another one of those eternally recurring ideas echoed inimitably by C.S. Peirce in his sketch of a Cosmogonic Philosophy. It would suppose that in the beginning,—infinitely remote,—there was … Continue reading
Posted in C.S. Peirce, Cosmogony, Evolution, Existence, Natural Law, Peirce, Philosophy, References, Sources
Tagged C.S. Peirce, Cosmogony, Evolution, Existence, Natural Law, Peirce, Philosophy, References, Sources
2 Comments
Inquiry Into Inquiry 