Related papers: A Note on McGee's {\omega}-Inconsistency Result
In this short note a new proof of the monotone con- vergence theorem of Lebesgue integral on \sigma-class is given.
We prove the consistency result from the title. By forcing we construct a model of g=aleph_1, b=cf(Sym(omega))=aleph_2.
We show that some mathematical results and their negations are both deducible. The derived contradictions indicate the inconsistency of current mathematics. This paper is an updated version of arXiv:math/0606635v3 with additional results…
In this note we prove an inequality involving primes and the product of consecutive primes.
In this note, we derive a Leibniz rule for difference quotient.
We give a simple proof of a recently result concerning Hardy $q$-inequalities.
In this note we obtain a new convergence result for the Adomian decomposition method.
The paper presents a counterexample to the Hodge conjecture.
Some extensions of an inequality from IMO'2001 are proven by means of the Lagrange multiplier criterion.
We study the formalized v statement by allowing the occurrence of different arrays of quantifiers in it. We prove that for some specific arrays of quantifiers we get consistency statements that are S-equivalent to the original…
This note is devoted to partial study of recurrent equation $d\omega=\beta \wedge \omega$, based on linear algebra of exterior forms. Such equation was considered by Lee, for non-degenerate 2-form. In this note we approach general case,…
In this note I give an information-theoretic proof of the Bonami-Beckner-Gross hypercontractive inequality.
A proof of the continuous martingale convergence theorem is provided. It relies on a classical martingale inequality and the almost sure convergence of a uniformly bounded non-negative super-martingale, after a truncation argument.
We give new proofs of some well-known results from Invariant Theorey using the Kempf-Ness theorem.
Leggett formulated an inequality which seems to generalize the Bell theorem to non-local hidden variable theories. Leggett inequality is violated by quantum mechanics, as was confirmed by experiment. However, a careful analysis reveals that…
In the paper it is demonstrated that Bells theorem is an unprovable theorem.
In this note, we find a new inequality involving primes and deduce several Bonse-type inequalities.
A more detailed derivation of the Heisenberg uncertainty principle from the certainty principle is given.
In the current note, we present a new, short proof of the famous AM-GM-HM inequality using only induction and basic calculus.
In this paper we prove several theorems about the behavior of index of Lie algebras derived from associative algebras under tensor products of underlying associative algebras.