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100   $a20180331d1991      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aMathematics and the image of reason /$fMary Tiles
210  1$aLondon ;$aNew York :$cRoutledge,$d1991.
215   $a1 online resource (198 p.)
225 1 $aPhilosophical issues in science
300   $aDescription based upon print version of record.
311   $a0-415-75522-0 
311   $a0-415-03318-7 
320   $aIncludes bibliographical references (p. 178-183) and index.
327   $aCover; MATHEMATICS AND THEIMAGE OF REASON; Title Page; Copyright Page; Table of Contents; Acknowledgements; Introduction; 1 AXIOMATIZATION, RIGOUR AND REASON; Rigour and Proof; Deserting Euclidean Standards; The Return to Euclidean Standards; 2 FREGE: ARITHMETIC AS LOGIC; Calculation and Reasoning; Numbers and the Nature of Arithmetical Truths; Numbers as Objects; The Natural Numbers; Word Games?; 3 RUSSELL: MATHEMATICS AS LOGIC; Geometry and Relational Structures; Paradoxes and Logical Types; Empiricism, Logical Positivism and the Sterility of Reason
327   $a4 HILBERT: MATHEMATICS AS A FORMULA-GAME?Formalism and Hilbert's Programme; Geometrical Rigour; Forging the Formal Chains of Reason; Successes and Failures; Logic and its Limitations; Appendix - Recursive Functions; 5 IDEAL ELEMENTS AND RATIONAL IDEALS; Formulae, Symbols and Forms; Ideal Elements and Ideals; Geometry: Diagrams and Rigour; Pragmatism, Axiomatization and Ideals; Logic and the Objects of Mathematical Knowledge; Lack of Closure and the Power of Reason; Glossary of Symbols; Further Reading; Bibliography; Index
330   $aA thorough account of the philosophy of mathematics. In a cogent account the author argues against the view that mathematics is solely logic.
410  0$aPhilosophical issues in science.
606   $aMathematics$xPhilosophy
615  0$aMathematics$xPhilosophy.
676   $a510/.1
700   $aTiles$b Mary.$059700
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906   $aBOOK
912   $a9910783041003321
996   $aMathematics and the image of reason$93856426
997   $aUNINA