Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals)

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A01=Donald Gillies
argument
Author_Donald Gillies
axiomatic
Axiomatic Set Theory
Book III
Cantor's Paradox
Category=PBB
Category=PBCD
Category=QDTL
Dedekind's Definition
Der Arithmetik
Die Algebra Der Logik
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
frege's
Frege's Argument
Frege's Basic Law
Frege's Notation
Frege's Platonism
Grundgesetze Der Arithmetik
higher
Higher Order Logic
Honour Cards
Hyperbolic Geometry
induction
JOHN STUART MILL
King's Carriage
logic
mathematical
Natural Numbers
order
Peano's Work
Predicate Calculi
Propositional Calculus
Rational Numbers
set
Set Theoretic Approach
Sind Und
theory
Theory T2
Vice Versa

Product details

  • ISBN 9780415668743
  • Weight: 160g
  • Dimensions: 138 x 216mm
  • Publication Date: 15 Oct 2012
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic.

This historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic.

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