Mathematical Knowledge

Erscheinungsjahr 2007
ISBN: 978-0-19-922824-9
Verlag: OUP UK

Buch, Englisch, 236 Seiten, Print PDF, Format (B × H): 161 mm x 240 mm, Gewicht: 470 g

What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired? Eight new essays offer answers to these and many other questions. Written by some of the world's leading philosophers of mathematics, psychologists, and mathematicians, Mathematical Knowledge gives a lively sense of the current state of debate in this fascinating field.

Autoren/Hrsg.

Leng, Mary

Paseau, Alexander

Potter, Micheal

Potter, Michael

Fachgebiete

• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Populärwissenschaftliche Werke
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik

Inhaltsverzeichnis

- Introduction

- 1: Michael Potter: What is the problem of mathematical knowledge?

- 2: W. T. Gowers: Mathematics, memory, and mental arithmetic

- 3: Alan Baker: Is there a problem of induction for mathematics?

- 4: Marinella Cappelletti and Valeria Giardino: The cognitive basis of mathematical knowledge

- 5: Mary Leng: What's there to know? A fictionalist account of mathematical knowledge

- 6: Mark Colyvan: Mathematical recreation versus mathematical knowledge

- 7: Alexander Paseau: Scientific Platonism

- 8: Crispin Wright: On quantifying into predicate position: Steps towards a new(trialist) perspective