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Mathematics as a Science of Patterns

  • Livre Relié
  • 298 Nombre de pages
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Expounding theories about the nature of mathematics, and examining mathematics as a science of patterns, the author of this book e... Lire la suite
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Description

Expounding theories about the nature of mathematics, and examining mathematics as a science of patterns, the author of this book expresses his commitment to a structuralist philosophy of mathematics. He links this theory to a defence of realism about the metaphysics of mathematics.

For over twenty years, Michael D. Resnik has been crafting a philosophical view of mathematics: one remarkably sensitive to the opposing tensions that make philosophizing in this domain so difficult ... the resulting book is perfect for classroom use: it's extremely clear, and Resnik ensures that even the novice is with him at every stage ... It articulates an ambitious and forceful position, only parts of which most of us have seen before. I recommend it without reservation to everyone interested in these topics.

Texte du rabat

This book expounds a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he expresses his commitment to a structuralist philosophy of mathematics. He links this to a defense of realism about the metaphysics of mathematics--the view that mathematics is about things that really exist.



Contenu

PART ONE: PROBLEMS AND POSITIONS; 1: Introduction; 2: What Is Mathematical Realism?; 3: The Case for Mathematical Realism; 4: Recent Attempts at Blunting the Indispensability Thesis; 5: Doubts about Realism; PART TWO; 6: The Elusive Distinction between Mathematics and Natural Science; 7: Holism: Evidence in Science and Mathematics; 8: The Local Conception of Mathematical Evidence: Proof, Computation, and Logic; 9: Positing Mathematical Objects; PART THREE: MATHEMATICS AS A SCIENCE OF PATTERNS; 10: Mathematical Objects as Positions in Patterns; 11: Patterns and Mathematical Knowledge; 12: What is Structuralism? and Other Questions; Bibliography; Index

Informations sur le produit

Titre: Mathematics as a Science of Patterns
Auteur:
Code EAN: 9780198236085
ISBN: 978-0-19-823608-5
Format: Livre Relié
Editeur: Oxford University Press
Genre: Mathématique
nombre de pages: 298
Poids: 514g
Taille: H224mm x B144mm x T31mm
Année: 1997

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