Logic is the hygiene the mathematician practices to keep his ideas healthy and strong..

It is impossible to discuss realism in logic without drawing in the empirical sciences... A truly realistic mathematics should be conceived, in line ….

Besides language and music, it [mathematics] is one of the primary manifestations of the free creative power of the human mind, and it is the univers….

Our mathematics of the last few decades has wallowed in generalities and formalizations..

Before one can generalize, formalize, and axiomatize, there must be a mathematical substance..

The constructs of the mathematical mind are at the same time free and necessary. The individual mathematician feels free to define his notions and se….

Without the concepts, methods and results found and developed by previous generations right down to Greek antiquity one cannot understand either the ….