# Monthly Archives: May 2013

## Special Classes of Propositions

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

## Fourier Transforms of Boolean Functions • 1

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

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

## ⚠ It’s A Trap ⚠

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

## Triadic Relation Irreducibility • 3

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

## grabitational singularity

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

Posted in Grabitational Singularity, Singularity, Verse | | 1 Comment

## What part do arguments from authority play in mathematical reasoning?

In forming your answer you may choose to address any or all of the following aspects of the question: Descriptive What part do arguments from authority actually play in mathematical reasoning? Normative What part do arguments from authority ideally play … Continue reading

## C.S. Peirce : Information = Comprehension × Extension

Re: R.J. Lipton and K.W. Regan • A Most Perplexing Mystery The inverse relationship between symmetry and diversity — that we see for example in the lattice-inverting map of a Galois correspondence — is a variation on an old theme … Continue reading

## Rock On

Elsewhere I have brought out the fact that human will had no other purpose than to maintain awareness.  But that could not do without discipline.  Of all the schools of patience and lucidity, creation is the most effective.  It is … Continue reading