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Logicism, Intuition...
Logicism, Intuitionism, and Formalism : What has become of them?
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- Lindström, Sten, 1945- (editor)
- Uppsala universitet,Umeå universitet,Institutionen för idé- och samhällsstudier,Kollegiet för avancerade studier (SCAS),Umeå University
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- Palmgren, Erik (editor)
- Uppsala universitet,Algebra, geometri och logik,Mathematical Logic
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- Segerberg, Krister (editor)
- Uppsala universitet,Avdelningen för teoretisk filosofi
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- Stoltenberg-Hansen, Viggo (editor)
- Uppsala universitet,Algebra, geometri och logik,Mathematical Logic
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(creator_code:org_t)
- ISBN 9781402089251
- Springer, Dordrecht, Nederländerna, 2008
- English 512 s.
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Series: Synthese Library ; 341
- Related links:
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http://www.springer....
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https://urn.kb.se/re...
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Table of contents
Abstract
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- The period in the foundations of mathematics that started in 1879 with the publication of Frege's Begriffsschrift and ended in 1931 with Gödel's Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I can reasonably be called the classical period. It saw the development of three major foundational programmes: the logicism of Frege, Russell and Whitehead, the intuitionism of Brouwer, and Hilbert's formalist and proof-theoretic programme. In this period, there were also lively exchanges between the various schools culminating in the famous Hilbert-Brouwer controversy in the 1920s.The purpose of this anthology is to review the programmes in the foundations of mathematics from the classical period and to assess their possible relevance for contemporary philosophy of mathematics. What can we say, in retrospect, about the various foundational programmes of the classical period and the disputes that took place between them? To what extent do the classical programmes of logicism, intuitionism and formalism represent options that are still alive today? These questions are addressed in this volume by leading mathematical logicians and philosophers of mathematics.The volume will be of interest primarily to researchers and graduate students of philosophy, logic, mathematics and theoretical computer science. The material will be accessible to specialists in these areas and to advanced graduate students in the respective fields.
Subject headings
- HUMANIORA -- Filosofi, etik och religion -- Filosofi (hsv//swe)
- HUMANITIES -- Philosophy, Ethics and Religion -- Philosophy (hsv//eng)
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
Keyword
- Philosophy of mathematics
- Foundations of mathematics
- logicism
- intuitionism
- formalism
- Logic
- Logik
- Theoretical philosophy
- Teoretisk filosofi
- Mathematical logic
- Mathematical Logic
Publication and Content Type
- ref (subject category)
- sam (subject category)
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