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A concise history of mathematics for philosophers / John Stillwell.

By: Series: Cambridge elements. Elements in the philosophy of mathematicsCambridge, United Kingdom : Cambridge University Press, 2019 ©2019Description: 69 pages : illustrations ; 23 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9781108456234
Subject(s): DDC classification:
  • 510.9 .St857 2019
Contents:
Preface -- Irrational numbers and geometry -- Infinity in Greek mathematics -- Imaginary numbers -- Calculus and infinitesimals -- Continuous functions and real numbers -- From non-Euclidean Geometry to arithmetic -- Set theory and its paradoxes -- Formal systems -- Unsolvability and incompleteness
Summary: 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. -- Provided by publisher
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Item type Current library Call number Status Date due Barcode
Reserved Books Main Library General Circulation 510.9 .St857 2019 (Browse shelf(Opens below)) Available 0125417

Includes bibliographical references (pages 66-69)

Preface -- Irrational numbers and geometry -- Infinity in Greek mathematics -- Imaginary numbers -- Calculus and infinitesimals -- Continuous functions and real numbers -- From non-Euclidean Geometry to arithmetic -- Set theory and its paradoxes -- Formal systems -- Unsolvability and incompleteness

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. -- Provided by publisher

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