Introduction to Mathematical Philosophy

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A01=Bertrand Russell
Author_Bertrand Russell
Cardinal Number
cardinal numbers
Category=PBB
Category=QDHR
Category=QDTL
classic philosophy series
Compact Series
Converse Domain
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Integers
Follow
foundational logic for mathematics students
Hold
Inclined
Indian ISBN
Inductive Numbers
Infinite Cardinal Numbers
Infinite Classes
Infinite Collections
infinite sets
Logical Fictions
logical types
mathematical induction
Mathematical Philosophy
Multiplicative Axiom
Natural Number Series
Natural Numbers
Ordinal Number
Primitive Ideas
Primitive Propositions
Proper Fractions
propositional functions
Real Numbers
Reflexive Classes
Vice Versa

Product details

  • ISBN 9781032312279
  • Weight: 200g
  • Dimensions: 138 x 216mm
  • Publication Date: 15 Sep 2022
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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"The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge, as to which comparative certainty is not yet attained. But separation of such questions is hardly likely to be fruitful unless the more scientific parts of mathematics are known. A book dealing with those parts may, therefore, claim to be an introduction to mathematical philosophy..." - Bertrand Russell, from the Preface

First published in 1919, Introduction to Mathematical Philosophy shows Russell drawing on his formidable knowledge of philosophy and mathematics to write a brilliant introduction to the subject. Russell explains that mathematics can be approached in two distinct directions: one that is driven by a mechanical kind of simplicity and builds towards complexity, from integers to fractions and real numbers to complex ones; and one that searches for abstractness and logical simplicity by asking what general principles underlie mathematics.

From here Russell introduces and explains, in his customary pellucid prose, the definition of numbers, finitude, correlation and relation, mathematical limits, infinity, propositional descriptions and classes. Russell concludes with a fascinating summary of the relationship between mathematics and logic, of which he states "logic is the youth of mathematics."

This Routledge Classics edition includes a new Foreword by Michael Potter.

Bertrand Russell (1872-1970). A celebrated mathematician and logician, Russell was and remains one of the most genuinely widely read and popular philosophers of modern times.

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