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100   $a20180706e20111982  uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aFrege, Dedekind and Peano on the foundations of arithmetic /$fD.A. Gillies
210  1$aAbingdon, Oxon ;$aNew York :$cRoutledge,$d2011.
215   $a1 online resource (114 p.)
225 1 $aRoutledge revivals
225  0$aRoutledge revivals
300   $a"First published in 1982 by Van Gorcum"--T.p. verso.
311   $a0-415-66874-3 
311   $a0-415-66709-7 
320   $aIncludes bibliographical references and index.
327   $aCover; Frege, Dedekind and Peano on the Foundations of Arithmetic; Title Page; Copyright Page; Preface; Table of Contents; Introduction; 1. Kant's Theory of Mathematics; 2. Frege's Criticisms of Kant; 3. Mill's Theory of Mathematics; 4. Frege's Criticisms of Mill; 5. The content of a statement of number is an assertion about a concept; 6. Frege's Platonism; 7. Frege's Logicism; 8. Dedekind and Set Theory; 9. Dedekind's Development of Arithmetic; 10. Peano's Axioms. General Comparison of Frege, Dedekind, and Peano; 11. Frege's Begriffsschrift; 12. Frege's Grundgesetze, and Russell's paradox
327   $aAppendix I. On NotationAppendix II. On the Principle of Mathematical, or Complete, Induction; References; Index
330   $aFirst published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This historical-critical study provides an excellent introduction to the problems of the philosop
410  0$aRoutledge Revivals
606   $aArithmetic$xFoundations
615  0$aArithmetic$xFoundations.
676   $a513
700   $aGillies$b Donald$f1944-,$039275
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910820920803321
996   $aFrege, Dedekind and Peano on the foundations of arithmetic$94126402
997   $aUNINA