Mathematical Intuitionism

Erscheinungsjahr 2020
ISBN: 978-1-108-72302-2
Verlag: Cambridge University Press

Buch, Englisch, 75 Seiten, Format (B × H): 152 mm x 233 mm, Gewicht: 172 g

Reihe: Elements in the Philosophy of Mathematics

L. E. J. Brouwer, the founder of mathematical intuitionism, believed that mathematics and its objects must be humanly graspable. He initiated a program rebuilding modern mathematics according to that principle. This book introduces the reader to the mathematical core of intuitionism – from elementary number theory through to Brouwer's uniform continuity theorem – and to the two central topics of 'formalized intuitionism': formal intuitionistic logic, and formal systems for intuitionistic analysis. Building on that, the book proposes a systematic, philosophical foundation for intuitionism that weaves together doctrines about human grasp, mathematical objects and mathematical truth.

Autoren/Hrsg.

Posy, Carl J

Fachgebiete

• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik

Inhaltsverzeichnis

1. Introduction: three faces of intuitionism; 2. The mathematical face of intuitionism; 3. Formalized intuitionism; 4. The intuitionistic standpoint; Afterword; Acknowledgements; Bibliography.