This book introduces the core ideas of L.E.J. Brouwer’s approach to constructivity in mathematics, focusing on analysis, set theory, and topology, while considering his philosophical motivations. Brouwer’s “intuitionism” offers a coherent alternative to classical (nonconstructive) mathematics.Starting with the rejection of the Principle of the Excluded Middle, the book reconstructs number systems and analysis using Cauchy sequences. It compares constructive and classical methods, h...

Dirk van Dalen’s biography studies the fascinating life of the famous Dutch mathematician and philosopher Luitzen Egbertus Jan Brouwer. Brouwer belonged to a special class of genius; complex and often controversial and gifted with a deep intuition, he had an unparalleled access to the secrets and intricacies of mathematics. Most mathematicians remember L.E.J. Brouwer from his scientific breakthroughs in the young subject of topology and for the famous Brouwer fixed point theorem. Brouwer’s...

Dr. van Dalen, teaching from a Messianic perspective, attempts to convince the Sunday-Observing part of the Body of Messiah (The Church with Capital “C”), that “Christianity” (Messianism) is the continuation of Judaism along the Messianic line and not an alleged religion supposedly founded by Yeshua of Nazareth (Jesus). The further objective of the book is promoting the full understanding of Romans 1:16, Romans 2:29, Ephesians 2:11-20, and the Olive Tree Covenant of Romans 11:17-21. And by...