A Concise History of Mathematics for Philosophers

John Stillwell (University of San Francisco)

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English

Cambridge University Press
06 June 2019

Mathematics & Sciences; Philosophy of mathematics; History of mathematics

Series: Elements in the Philosophy of Mathematics

This Element aims to present an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy. It ranges from the discovery of irrational numbers in ancient Greece to the nineteenth- and twentieth-century discoveries on the nature of infinity and proof. Recurring themes are intuition and logic, meaning and existence, and the discrete and the continuous. These themes have evolved under the influence of new mathematical discoveries and the story of their evolution is, to a large extent, the story of philosophy of mathematics.

By: John Stillwell (University of San Francisco)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 230mm, Width: 150mm, Spine: 5mm
Weight: 100g
ISBN: 9781108456234
ISBN 10: 1108456235
Series: Elements in the Philosophy of Mathematics
Pages: 75
Publication Date: 06 June 2019
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Preface; 1. Irrational numbers and geometry; 2. Infinity in Greek mathematics; 3. Imaginary numbers; 4. Calculus and infinitesimals; 5. Continuous functions and real numbers; 6. From non-Euclidean geometry to arithmetic; 7. Set theory and its paradoxes; 8. Formal systems; 9. Unsolvability and incompleteness.