One Hundred Years of Intuitionism (1907-2007)

With logicism and formalism, intuitionism is one of the main foundations for mathematics proposed in the twentieth century; and since the seventies, notably its views on logic have become important also outside foundational studies, with the development of theoretical computer science.

"With logicism and formalism, intuitionism is one of the main foundations for mathematics proposed in the twentieth century; and since the seventies, notably its views on logic have become important also outside foundational studies, with the development of theoretical computer science.

Brouwer and Brouwerian intuitionism.- Another look at Brouwer's dissertation.- Brouwerian infinity.- The new intuitionism.- Truth and experience of truth.- The proper explanation of intuitionistic logic: on Brouwer's demonstration of the Bar Theorem.- The intersection of intuitionism (Brouwer) and phenomenology (Husserl).- Brouwer on 'hypotheses' and the middle Wittgenstein.- Brouwer's notion of intuition and theory of knowledge by presence.- Buddhist models of the mind and the common core thesis on mysticism.- Kindred spirits.- Remarks on the supposed french' semi-' or 'pre-intuitionism'.- Poincaré: intuitionism, intuition, and convention.- Some of Julius König's mathematical dreams in his New Foundations of Logic, Arithmetic, and Set Theory.- Gödel, constructivity, impredicativity, and feasibility.- Lorenzen's operative justification of intuitionistic logic.- Mathematical perspectives.- The Hilbert-Brouwer controversy resolved?.- Proof theory and Martin-Löf Type Theory.- Some remarkson linear logic.- Two applications of dynamic constructivism: Brouwer's continuity principle and choice sequences in formal topology.- A reverse look at Brouwer's Fan Theorem.- Some applications of Brouwer's Thesis on Bars.- Concluding remarks at the Cerisy conference.- A bibliography of L.E.J. Brouwer.