This book examines the role of acts of choice in classical and intuitionistic mathematics.
Featuring fifteen papers - both new and previously published - it offers a fresh analysis of
concepts developed by the mathematician and philosopher L.E.J. Brouwer the founder of
intuitionism. The author explores Brouwer's idealization of the creative subject as the basis
for intuitionistic truth and in the process he also discusses an important related question:
to what extent does the intuitionistic perspective succeed in avoiding the classical realistic
notion of truth? The papers detail realistic aspects in the idealization of the creative
subject and investigate the hidden role of choice even in classical logic and mathematics
covering such topics as bar theorem type theory inductive evidence Beth models fallible
models and more. In addition the author offers a critical analysis of the response of key
mathematicians and philosophers to Brouwer's work. These figures include Michael Dummett Saul
Kripke Per Martin-Löf and Arend Heyting. This book appeals to researchers and graduate
students with an interest in philosophy of mathematics linguistics and mathematics.
