Buch
One hundred years of intuitionism (1907–2007)
the Cerisy conference
Abstrakt
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. The aim of the book is threefold: to review and complete the historical account of intuitionism; to present recent philosophical work on intuitionism; and to give examples of new technical advances and applications of intuitionism. This volume brings together 21 contributions by today's leading authors on these topics, and surveys the philosophical, logical and mathematical implications of the approach initiated in 1907 in L.E.J. Brouwer's dissertation.
Details | Inhaltsverzeichnis
on Brouwer's demonstration of the Bar theorem
pp.60-77
https://doi.org/10.1007/978-3-7643-8653-5_5pp.78-95
https://doi.org/10.1007/978-3-7643-8653-5_6pp.96-114
https://doi.org/10.1007/978-3-7643-8653-5_7pp.115-130
https://doi.org/10.1007/978-3-7643-8653-5_8pp.131-145
https://doi.org/10.1007/978-3-7643-8653-5_9pp.149-162
https://doi.org/10.1007/978-3-7643-8653-5_10intuitionism, intuition, and convention
pp.163-177
https://doi.org/10.1007/978-3-7643-8653-5_11pp.178-197
https://doi.org/10.1007/978-3-7643-8653-5_12pp.198-213
https://doi.org/10.1007/978-3-7643-8653-5_13pp.214-240
https://doi.org/10.1007/978-3-7643-8653-5_14Brouwer's continuity principle and choice sequences in formal topology
pp.301-315
https://doi.org/10.1007/978-3-7643-8653-5_18Publication details
Publisher: Springer
Ort: Dordrecht
Year: 2008
Seiten: 422
DOI: 10.1007/978-3-7643-8653-5
ISBN (hardback): 978-3-7643-8652-8
ISBN (digital): 978-3-7643-8653-5
Referenz:
Boldini Pascal, Bourdeau Michel, Heinzmann Gerhard (2008) One hundred years of intuitionism (1907–2007): the Cerisy conference. Dordrecht, Springer.