John Stillwell (University of San Francisco)

A Concise History of Mathematics for Philosophers

• Broschiertes Buch

Produktbeschreibung

Presents an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy. Ranges from 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.

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Produktdetails

• Elements in the Philosophy of Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 78
• Erscheinungstermin: 31. Mai 2019
• Englisch
• Abmessung: 229mm x 152mm x 5mm
• Gewicht: 126g
• ISBN-13: 9781108456234
• ISBN-10: 1108456235
• Artikelnr.: 56712906

Inhaltsangabe

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.