Author Archives: Jon Awbrey

C.S. Peirce • The Proper Treatment of Hypotheses

Posted on June 19, 2013 by Jon Awbrey

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 , , , , , , , | 1 Comment

Moneytheism

Posted on June 10, 2013 by Jon Awbrey

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 , , , , , | 6 Comments

Fourier Transforms of Boolean Functions • 2

Posted on June 4, 2013 by Jon Awbrey

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 →

Posted in Boolean Functions, Computational Complexity, Fourier Transforms, Harmonic Analysis, Logic, Mathematics, Propositional Calculus | Tagged , , , , , , | Leave a comment

Wherefore Aught?

Posted on June 1, 2013 by Jon Awbrey

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 , , , , , , , , | 2 Comments

Special Classes of Propositions

Posted on May 31, 2013 by Jon Awbrey

Adapted from Differential Propositional Calculus • Special Classes of Propositions A basic proposition, coordinate proposition, or simple proposition in the universe of discourse is one of the propositions in the set Among the propositions in are several families of propositions … Continue reading →

Posted in Boolean Functions, Computational Complexity, Differential Logic, Equational Inference, Functional Logic, Indication, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Propositional Calculus, Visualization | Tagged , , , , , , , , , , , | 2 Comments

Fourier Transforms of Boolean Functions • 1

Posted on May 30, 2013 by Jon Awbrey

Re: R.J. Lipton and K.W. Regan • Twin Primes Are Useful The problem is concretely about Boolean functions of variables, and seems not to involve prime numbers at all. For any subset of the coordinate [indices], the corresponding Fourier coefficient … Continue reading →

Posted in Boolean Functions, Computational Complexity, Fourier Transforms, Harmonic Analysis, Logic, Mathematics, Propositional Calculus | Tagged , , , , , , | 1 Comment

Strangers In Paradise

Posted on May 22, 2013 by Jon Awbrey

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

⚠ It’s A Trap ⚠

Posted on May 18, 2013 by Jon Awbrey

Re: Kenneth W. Regan • Graduate Student Traps 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 … Continue reading →

Posted in C.S. Peirce, Category Theory, Descartes, Error, Fallibility, Logic, Logic of Relatives, Mathematical Traps, Mathematics, Peirce, Pragmatism, Reductionism, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , , , | 5 Comments

Triadic Relation Irreducibility • 3

Posted on May 16, 2013 by Jon Awbrey

References Relation Theory OEIS Wiki • PlanetMath Triadic Relations OEIS Wiki • PlanetMath Sign Relations OEIS Wiki • PlanetMath Relation Composition OEIS Wiki • PlanetMath Relation Construction OEIS Wiki • PlanetMath Relation Reduction OEIS Wiki • PlanetMath Related Readings Notes … Continue reading →

Posted in C.S. Peirce, Category Theory, Inquiry, Logic, Logic of Relatives, Mathematics, Peirce, Pragmatism, Relation Theory, Semiosis, Semiotics, Sign Relational Manifolds, Sign Relations, Teridentity, Thirdness, Triadic Relations | Tagged , , , , , , , , , , , , , , , | 1 Comment

grabitational singularity

Posted on May 16, 2013 by Jon Awbrey

the trouble with a bubble on a pyramid top is the point when it pop ⚠ ⚠⚠ ⚠⚠⚠ ⚠⚠⚠⚠ ⚠⚠⚠⚠⚠ ⚠⚠⚠⚠⚠⚠

Posted in Grabitational Singularity, Singularity, Verse | Tagged , , | 2 Comments