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Logicism, Intuitionism, and Formalism - Sten Lindström
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Logicism, Intuitionism, and Formalism - pocketboek

2010, ISBN: 9048180295

[EAN: 9789048180295], Neubuch, [PU: Springer Netherlands Okt 2010], BERTRANDRUSSELL; FOUNDATIONSOFMATHEMATICS; GOTTLOBFREGE; PHILOSOPHYOFMATHEMATICS; TOPOLOGY; VARIABLE; CALCULUS; MATHEMA… Meer...

NEW BOOK. Verzendingskosten:Versandkostenfrei. (EUR 0.00) BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany [57449362] [Rating: 4 (von 5)]
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Logicism, Intuitionism, and Formalism : What Has Become of Them? - Sten Lindström
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Logicism, Intuitionism, and Formalism : What Has Become of Them? - pocketboek

2010, ISBN: 9048180295

[EAN: 9789048180295], Neubuch, [SC: 0.0], [PU: Springer Netherlands], GOTTLOB FREGE; PHILOSOPHY OF MATHEMATICS; TOPOLOGY; VARIABLE; CALCULUS; PROOF; THEOREM; TYPE THEORY; BERTRAND RUSSELL… Meer...

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Sten Lindström:
Logicism, Intuitionism, and Formalism - pocketboek

ISBN: 9789048180295

[ED: Taschenbuch], [PU: Springer Netherlands], Neuware - The period in the foundations of mathematics that started in 1879 with the publication of Frege's Begriffsschrift and ended in 193… Meer...

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ISBN: 9789048180295

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 S… Meer...

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Logicism Intuitionism and Formalism Volume 341 What Has Become of Them? - Lindström, Sten, Erik Palmgren  und Krister Segerberg
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Lindström, Sten, Erik Palmgren und Krister Segerberg:
Logicism Intuitionism and Formalism Volume 341 What Has Become of Them? - pocketboek

2010, ISBN: 9789048180295

[PU: Berlin : Springer], XII, 512 Pages ; With Figures 23,5 x 15,5 cm Synthese Library ; Volume 341 - Innen sauberer, guter Zustand. Softcover, Broschur mit den üblichen Bibliotheks-Marki… Meer...

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Logicism, Intuitionism, and Formalism: What Has Become of Them? Sten Lindstrïm Editor

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.A special section is concerned with constructive mathematics and its foundations. This active branch of mathematics is a direct legacy of Brouwer's intuitionism. Today one often views it more abstractly as mathematics based on intuitionistic logic. It can then be regarded as a generalisation of classical mathematics in that it may be given, firstly, the standard set-theoretic interpretation, secondly, algorithmic meaning, and thirdly, nonstandard interpretations in terms of variable sets (sheaves over topological spaces).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.

Gedetalleerde informatie over het boek. - Logicism, Intuitionism, and Formalism: What Has Become of Them? Sten Lindstrïm Editor


EAN (ISBN-13): 9789048180295
ISBN (ISBN-10): 9048180295
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer Netherlands Core >1
524 Bladzijden
Gewicht: 0,783 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2010-09-20T15:35:46+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2024-04-03T00:09:52+02:00 (Amsterdam)
ISBN/EAN: 9789048180295

ISBN - alternatieve schrijfwijzen:
90-481-8029-5, 978-90-481-8029-5
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: krister segerberg, sten, lindström palmgren, hansen erik, stolte, stoltenberg, frege gottlob, bertrand russell, whitehead, hansen herausgeber
Titel van het boek: logicism intuitionism and formalism, what


Gegevens van de uitgever

Auteur: Sten Lindström; Erik Palmgren; Krister Segerberg; Viggo Stoltenberg-Hansen
Titel: Synthese Library; Logicism, Intuitionism, and Formalism - What Has Become of Them?
Uitgeverij: Springer; Springer Netherland
512 Bladzijden
Verschijningsjaar: 2010-10-28
Dordrecht; NL
Gedrukt / Gemaakt in
Taal: Engels
299,59 € (DE)
307,99 € (AT)
330,50 CHF (CH)
POD
XII, 512 p.

BC; Hardcover, Softcover / Mathematik/Grundlagen; Mathematik: Logik; Verstehen; Bertrand Russell; Formalism; Foundations of mathematics; Gottlob Frege; Intuitionism; Logicism; Philosophy of mathematics; Topology; Variable; calculus; mathematics; proof; theorem; type theory; Mathematical Logic and Foundations; Logic; Philosophy of Language; Epistemology; Ontology; History of Mathematical Sciences; Mathematische Grundlagen; Philosophie: Logik; Sprachphilosophie; Philosophie: Epistemologie und Erkenntnistheorie; Philosophie: Metaphysik und Ontologie; Geschichte der Mathematik; BB; EA

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.
Contains essays by world-leading experts in the philosophy and foundations of mathematics, describing current developments in the foundations of mathematics in a historical perspective Analyses the classical philosophical and foundational views of Frege, Brouwer, Hilbert, Gödel and Tarski and examines their relevance for current developments Provides an in-depth analysis of various kinds of neologicist philosophies of mathematics Contains a comprehensive section on mathematical intuitionism and constructive mathematics Offers extensive discussions, by several authors, of the proof-theoretic programme of Hilbert and Bernays

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Laatste soortgelijke boek:
9789048122127 Logicism, Intuitionism, and Formalism


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