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130124s2013 xx o 000 0 eng d |
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|a 9780203028360
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|a 0203028368
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|a (OCoLC)826853497
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|a QA8.4.T538
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|a QA8.4.T538 1991eb
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|a 510.1
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|a UAMI
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|a Tiles, Mary.
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|a Mathematics and the Image of Reason.
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|a Hoboken :
|b Taylor and Francis,
|c 2013.
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|a 1 online resource (198 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
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|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Philosophical Issues in Science
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|a A thorough account of the philosophy of mathematics. In a cogent account the author argues against the view that mathematics is solely logic.
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|a Print version record.
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|a Cover; 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
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|a 4 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
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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600 |
1 |
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|a Frege, Gottlob,
|d 1848-1925.
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600 |
1 |
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|a Russell, Bertrand,
|d 1872-1970.
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1 |
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|a Hilbert, David,
|d 1862-1943.
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1 |
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|a Frege, Gottlob,
|d 1848-1925
|2 fast
|1 https://id.oclc.org/worldcat/entity/E39PBJxhj66RChVq6RXtdJ4Xh3
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600 |
1 |
7 |
|a Hilbert, David,
|d 1862-1943
|2 fast
|1 https://id.oclc.org/worldcat/entity/E39PBJpYyC69hGwQdmbbMhpVmd
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600 |
1 |
7 |
|a Russell, Bertrand,
|d 1872-1970
|2 fast
|1 https://id.oclc.org/worldcat/entity/E39PBJdWHHp4wmT6Yh4RkthmBP
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650 |
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|a Mathematics
|x Philosophy.
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650 |
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|a Mathématiques
|x Philosophie.
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650 |
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|a Mathematics
|x Philosophy
|2 fast
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758 |
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|i has work:
|a Mathematics and the image of reason (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGKRBcfT9TYq638BKG4kQq
|4 https://id.oclc.org/worldcat/ontology/hasWork
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776 |
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|i Print version:
|z 9780415033183
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830 |
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|a Philosophical issues in science.
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856 |
4 |
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=179620
|z Texto completo
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938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL179620
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994 |
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|a 92
|b IZTAP
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