Articles

Here are comments on the four most recent publications.

The philosophy article "Intuition and Convergence" confronts a disturbing observation:: When someone actually needs to evaluate a limit, he usually does so by directly violating the definition of "limit" ("Logic and Knowledge", Ed, Cellucci et al.,Cambridge Scholars, 297-323, 2011).

The philosophy article "Mathematicians' Proof" explains to philosophers what actual mathematicians do that we call "proof" (To appear in "From an heuristic point of view: in honor of Carlo Cellucci").

The "Faulhaber" article, in "Elementary Mathematics," uses a simple trick to explain a surprising fact about the sums of powers of the first n integers..

The "memoir" about "jews" , "Under-represented then Over-represented," is about Jews in U.S. mathematics.