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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| Andere auteurs: | , , , , , , |
| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| Editie: | 1st ed. 2009. |
| Reeks: | Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science
341 |
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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 |
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| 100 | 1 | |a Lindström, Sten. | |
| 245 | 1 | 0 | |a Logicism, intuitionism, and formalism : |b what has become of them? |c edited by Sten Lindström, Erik Palmgren, Krister Segerberg, Viggo Stoltenberg-Hansen. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a Dordrecht : |b Springer Netherlands. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science |v 341 |x 2542-8292 | |
| 500 | |a Description d'après consultation du 17/05/2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Introduction: The Three Foundational Programmes Introduction: The Three Foundational Programmes Logicism and Neo-Logicism Protocol Sentences for Lite Logicism Frege s Context Principle and Reference to Natural Numbers The Measure of Scottish Neo-Logicism Natural Logicism via the Logic of Orderly Pairing Intuitionism and Constructive Mathematics A Constructive Version of the Lusin Separation Theorem Dini s Theorem in the Light of Reverse Mathematics Journey into Apartness Space Relativization of Real Numbers to a Universe 100 Years of Zermelo s Axiom of Choice: What was the Problem with It? Intuitionism and the Anti-Justification of Bivalence From Intuitionistic to Point-Free Topology: On the Foundation of Homotopy Theory Program Extraction in Constructive Analysis Brouwer s Approximate Fixed-Point Theorem is Equivalent to Brouwer s Fan Theorem Formalism Gödel s Modernism: On Set-Theoretic Incompleteness, Revisited Tarski s Practice and Philosophy: Between Formalism and Pragmatism The Constructive Hilbert Program and the Limits of Martin-Löf Type Theory Categories, Structures, and the Frege-Hilbert Controversy: The Status of Meta-mathematics Beyond Hilbert s Reach? Hilbert and the Problem of Clarifying the Infinite | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Épistémologie génétique | ||
| 650 | |a Logique symbolique et mathématique | ||
| 650 | |a Mathématiques |x Histoire | ||
| 650 | |a Ontologie | ||
| 650 | |a Linguistique |x Philosophie | ||
| 700 | 1 | |a Palmgren, Erik. |4 edt | |
| 700 | 1 | |a Segerberg, Krister. |4 edt | |
| 700 | 1 | |a Stoltenberg-Hansen, Viggo. |4 edt | |
| 700 | 1 | |a Stoltenberg-Hansen, Viggo, |d 1942. |4 edt | |
| 700 | 1 | |a Segerberg, Krister, |d 1936- |4 edt | |
| 700 | 1 | |a Palmgren, Erik, |d 19..- |4 edt | |
| 700 | 1 | |a Lindström, Sten, |d 1945- |4 edt | |
| 776 | 0 | |0 138906106 |t Logicism, intuitionism and formalism |o what has become of them? |f edited by Sten Lindstrom, ... Erik Palmgren, ... Krister Segerberg, ... [et al.] |c [Dordrecht] |n Springer |d 2009 |p 1 vol. (XII-512 p.) |s Synthese library |z 978-1-402-08925-1 | |
| 776 | 0 | |t Logicism, Intuitionism, and Formalism |b Texte imprimé |z 9789048122127 | |
| 776 | 0 | |t Logicism, Intuitionism, and Formalism |b Texte imprimé |z 9789048180295 | |
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