2 papers
math.GM2011
The Triangular Theorem of the Primes: Binary Quadratic Forms and Primitive Pythagorean Triples
J. A. Perez
This article reports the occurrence of binary quadratic forms in primitive Pythagorean triangles and their geometric interpretation. In addition to the well-known fact that the hyp…
math.GM2010
Addressing mathematical inconsistency: Cantor and Godel refuted
J. A. Perez
This article critically reappraises arguments in support of Cantor's theory of transfinite numbers. The following results are reported: i) Cantor's proofs of nondenumerability are…