Logicism, intuitionism, and formalism : what has become of them?
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 de...
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| Drugi avtorji: | , , , , , , |
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| Izdaja: | 1st ed. 2009. |
| Serija: | Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science
341 |
| Teme: | |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
Description d'après consultation du 17/05/2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Logicism, intuitionism and formalism, what has become of them?, edited by Sten Lindstrom, ... Erik Palmgren, ... Krister Segerberg, ... [et al.], [Dordrecht], Springer, 2009, 1 vol. (XII-512 p.), Synthese library, 978-1-402-08925-1 • Logicism, Intuitionism, and Formalism, Texte imprimé, 9789048122127 • Logicism, Intuitionism, and Formalism, Texte imprimé, 9789048180295 • Logicism, intuitionism and formalism, what has become of them?, edited by Sten Lindstrom, ... Erik Palmgren, ... Krister Segerberg, ... [et al.], [Dordrecht], Springer, 2009, 1 vol. (XII-512 p.), Synthese library, 978-1-402-08925-1 |
| Izvleček: | 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 |
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| Opis knjige/članka: | Description d'après consultation du 17/05/2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9781402089268 |
| ISSN: | 2542-8292 |
| Dostop: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |