REVIEW OF THE MAKING OF MATHEMATICS - HEURISTIC/PHILOSOPHY OF MATHEMATICS.

Carlo Cellucci's book, "The Making of Mathematics - Heuristic/Philosophy of Mathematics," challenges the traditional view of mathematics as theorem proving through the axiomatic method. Cellucci argues that mathematics is best understood as problem solving through the analytic method. He emphasizes the importance of reconnecting the context of discovery with that of justification, allowing for a more complete understanding of mathematical arguments. Cellucci also critiques textbooks that omit the real mathematical process, advocating for the inclusion of heuristics in problem solving. Overall, his work has the potential to reshape the way mathematics is presented and understood in the future. [Extracted from the article]