A Concise History of Mathematics for Philosophers
A Concise History of Mathematics for Philosophers
John Stillwell, University of San Francisco
June 2019
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9781108669719
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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.
Product details
June 2019Adobe eBook Reader
9781108669719
0 pages
20 b/w illus.
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- 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.
