Why Is There Philosophy of Mathematics At All?
(Sprache: Englisch)
Hacking explores how mathematics became possible for the human race, and how it ensured our status as the dominant species.
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Hacking explores how mathematics became possible for the human race, and how it ensured our status as the dominant species.
Klappentext zu „Why Is There Philosophy of Mathematics At All? “
This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.
Inhaltsverzeichnis zu „Why Is There Philosophy of Mathematics At All? “
Foreword; 1. A Cartesian introduction; 2. What makes mathematics mathematics?; 3. Why is there philosophy of mathematics?; 4. Proofs; 5. Applications; 6. In Plato's name; 7. Counter-Platonisms; Disclosures.
Autoren-Porträt von Ian Hacking
Hacking, IanIan Hacking is a retired professor of Collège de France, Chair of Philosophy and History of Scientific Concepts, and retired University Professor of Philosophy at the University of Toronto. His most recent books include The Social Construction of What? (1999), An Introduction to Probability and Inductive Logic (Cambridge University Press, 2001), The Emergence of Probability (Cambridge University Press, 2006), Scientific Reason (2009) and Exercises in Analysis (Cambridge University Press, 2009).
Bibliographische Angaben
- Autor: Ian Hacking
- 2014, 304 Seiten, Masse: 15,2 x 22,9 cm, Kartoniert (TB), Englisch
- Verlag: Cambridge University Press
- ISBN-10: 1107658152
- ISBN-13: 9781107658158
- Erscheinungsdatum: 30.01.2014
Sprache:
Englisch
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