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100301s2009 ne | s |||| 0|eng d |
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|a 9781402089268
|9 978-1-4020-8926-8
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|a 10.1007/978-1-4020-8926-8
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|2 23
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|a Lindstrm̲, Sten.
|e editor.
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1 |
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|a Logicism, Intuitionism, and Formalism
|b What has Become of Them? /
|c edited by Sten Lindstrm̲, Erik Palmgren, Krister Segerberg, Viggo Stoltenberg-Hansen.
|h [electronic resource] :
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| 264 |
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|a Dordrecht :
|b Springer Netherlands,
|c 2009.
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|b online resource.
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|b txt
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| 490 |
1 |
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|a Synthese Library, Studies In Epistemology. Logic, Methodology, and Philosophy of Science ;
|v 341
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| 505 |
0 |
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|a From the contents Preface. Notes On The Contributors. Introduction -- I. Logicism And Neo-Logicism -- II. Intuitionism And Constructive Mathematics -- III. Formalism -- Index.
|
| 520 |
# |
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|a The period in the foundations of mathematics that started in 1879 with the publication of Frege's Begriffsschrift and ended in 1931 with Gd̲el's <U+00dc>ber formal unentscheidbare St̃ze 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.
|
| 650 |
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0 |
|a Mathematics.
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| 650 |
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|a Genetic epistemology.
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| 650 |
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|a Logic.
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| 650 |
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|a Ontology.
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|a Linguistics
|x Philosophy.
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| 650 |
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|a Mathematics_$xHistory.
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| 650 |
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|a Logic, Symbolic and mathematical.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Mathematical Logic and Foundations.
|
| 650 |
2 |
4 |
|a Logic.
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| 650 |
2 |
4 |
|a Philosophy of Language.
|
| 650 |
2 |
4 |
|a Epistemology.
|
| 650 |
2 |
4 |
|a Ontology.
|
| 650 |
2 |
4 |
|a History of Mathematics.
|
| 700 |
1 |
# |
|a Palmgren, Erik.
|e editor.
|
| 700 |
1 |
# |
|a Segerberg, Krister.
|e editor.
|
| 700 |
1 |
# |
|a Stoltenberg-Hansen, Viggo.
|e editor.
|
| 710 |
2 |
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|a SpringerLink (Online service)
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0 |
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|t Springer eBooks
|
| 776 |
0 |
8 |
|i Printed edition:
|z 9781402089251
|
| 830 |
# |
0 |
|a Synthese Library, Studies In Epistemology. Logic, Methodology, and Philosophy of Science ;
|v 341
|
| 856 |
4 |
0 |
|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4020-8926-8
|
| 912 |
# |
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|a ZDB-2-SMA
|
| 950 |
# |
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|a Mathematics and Statistics (Springer-11649)
|