From Dedekind to Gödel [electronic resource] : Essays on the Development of the Foundations of Mathematics / edited by Jaakko Hintikka.
Erişim Adresi
ISBN
9789401584784
Dil Kodu
İngilizce
Yer Numarası
DK/16150
Basım Bildirimi
1st ed. 1995.
Yayın Bilgisi
Dordrecht : Springer Netherlands : Imprint: Springer, 1995.
Fiziksel Niteleme
X, 460 p. online resource.
Dizi
Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science, 2542-8292 ; 251
İçindekiler Notu
Tracking Contradictions in Geometry: The Idea of a Model from Kant to Hilbert -- Standard vs. Nonstandard Distinction: A Watershed in the Foundations of Mathematics -- Kronecker on the Foundations of Mathematics -- The Mysteries of Richard Dedekind -- Frege’s Letters -- Frege’s Principle -- Husserl and Hilbert on Completeness -- Hahn’s Über die nichtarchimedischen Grössensysteme and the Development of the Modern Theory of Magnitudes and Numbers to Measure Them -- The Origins of Russell’s Paradox: Russell, Couturat, and the Antinomy of Infinite Number -- The Emergence of Descriptive Set Theory -- Chance Against Constructibility -- Thoralf Skolem, Hermann Weyl and ‘Das Gefühl der Welt als begrenztes Ganzes’ -- On Tarski’s Background -- Wittgenstein and Ramsey on Identity -- On Saying What You Really Want to Say: Wittgenstein, Gödel, and the Trisection of the Angle -- Gödel and Husserl -- Index of Names -- Index of Subjects and Titles.
Özet, vb.
Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered. The viewpoints that serve this purpose included the foundational ideas of working mathematicians, such as Kronecker, Dedekind, Borel and the early Hilbert, and the development of notions like model and modelling, arbitrary function, completeness, and non-Archimedean structures. The philosophers discussed include not only the household names in logic, but also Husserl, Wittgenstein and Ramsey. Needless to say, such logically-oriented thinkers as Frege, Russell and Gödel are not entirely neglected, either. Audience: Everybody interested in the philosophy and/or history of mathematics will find this book interesting, giving frequently novel insights.
Konu
Logic.
Mathematical logic.
Mathematics.
History.
Philosophy, Modern.
Logic.
Mathematical Logic and Foundations.
History of Mathematical Sciences.
Early Modern Philosophy.
Mathematical logic.
Mathematics.
History.
Philosophy, Modern.
Logic.
Mathematical Logic and Foundations.
History of Mathematical Sciences.
Early Modern Philosophy.
Diğer Yazarlar
Kurum Adı
Eseri Alıntıla
Referansları kullanmadan önce gözden geçirmeniz ve varsa gerekli düzeltmeleri yapmanız önerilir.
Dijital Kaynak
MARC Görünümü
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490 1 |aSynthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science,|x2542-8292 ;|v251
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520 |aDiscussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered. The viewpoints that serve this purpose included the foundational ideas of working mathematicians, such as Kronecker, Dedekind, Borel and the early Hilbert, and the development of notions like model and modelling, arbitrary function, completeness, and non-Archimedean structures. The philosophers discussed include not only the household names in logic, but also Husserl, Wittgenstein and Ramsey. Needless to say, such logically-oriented thinkers as Frege, Russell and Gödel are not entirely neglected, either. Audience: Everybody interested in the philosophy and/or history of mathematics will find this book interesting, giving frequently novel insights.
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532 8 |aNo reading system accessibility options actively disabled
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650 0|aMathematical logic.
650 0|aMathematics.
650 0|aHistory.
650 0|aPhilosophy, Modern.
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650 24|aMathematical Logic and Foundations.
650 24|aHistory of Mathematical Sciences.
650 24|aEarly Modern Philosophy.
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072 7|aHPL|2bicssc
072 7|aPHI011000|2bisacsh
072 7|aQDTL|2thema
082 04|a160|223
090 |aDK/16150
245 10|aFrom Dedekind to Gödel|h[electronic resource] :|bEssays on the Development of the Foundations of Mathematics /|cedited by Jaakko Hintikka.
250 |a1st ed. 1995.
264 1|aDordrecht :|bSpringer Netherlands :|bImprint: Springer,|c1995.
300 |aX, 460 p.|bonline resource.
336 |atext|btxt|2rdacontent
337 |acomputer|bc|2rdamedia
338 |aonline resource|bcr|2rdacarrier
347 |atext file|bPDF|2rda
490 1 |aSynthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science,|x2542-8292 ;|v251
505 0 |aTracking Contradictions in Geometry: The Idea of a Model from Kant to Hilbert -- Standard vs. Nonstandard Distinction: A Watershed in the Foundations of Mathematics -- Kronecker on the Foundations of Mathematics -- The Mysteries of Richard Dedekind -- Frege’s Letters -- Frege’s Principle -- Husserl and Hilbert on Completeness -- Hahn’s Über die nichtarchimedischen Grössensysteme and the Development of the Modern Theory of Magnitudes and Numbers to Measure Them -- The Origins of Russell’s Paradox: Russell, Couturat, and the Antinomy of Infinite Number -- The Emergence of Descriptive Set Theory -- Chance Against Constructibility -- Thoralf Skolem, Hermann Weyl and ‘Das Gefühl der Welt als begrenztes Ganzes’ -- On Tarski’s Background -- Wittgenstein and Ramsey on Identity -- On Saying What You Really Want to Say: Wittgenstein, Gödel, and the Trisection of the Angle -- Gödel and Husserl -- Index of Names -- Index of Subjects and Titles.
520 |aDiscussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered. The viewpoints that serve this purpose included the foundational ideas of working mathematicians, such as Kronecker, Dedekind, Borel and the early Hilbert, and the development of notions like model and modelling, arbitrary function, completeness, and non-Archimedean structures. The philosophers discussed include not only the household names in logic, but also Husserl, Wittgenstein and Ramsey. Needless to say, such logically-oriented thinkers as Frege, Russell and Gödel are not entirely neglected, either. Audience: Everybody interested in the philosophy and/or history of mathematics will find this book interesting, giving frequently novel insights.
532 8 |aAccessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format.
532 8 |aInaccessible, or known limited accessibility
532 8 |aNo reading system accessibility options actively disabled
532 8 |aPublisher contact for further accessibility information: accessibilitysupport@springernature.com
650 0|aLogic.
650 0|aMathematical logic.
650 0|aMathematics.
650 0|aHistory.
650 0|aPhilosophy, Modern.
650 14|aLogic.
650 24|aMathematical Logic and Foundations.
650 24|aHistory of Mathematical Sciences.
650 24|aEarly Modern Philosophy.
700 1 |aHintikka, Jaakko.|eeditor.|4edt|4http://id.loc.gov/vocabulary/relators/edt
710 2 |aSpringerLink (Online service)
773 0 |tSpringer Nature eBook
776 08|iPrinted edition:|z9780792334842
776 08|iPrinted edition:|z9789048145546
776 08|iPrinted edition:|z9789401584791
830 0|aSynthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science,|x2542-8292 ;|v251
856 40|uhttps://doi.org/10.1007/978-94-015-8478-4
912 |aZDB-2-SHU
912 |aZDB-2-SXPR
912 |aZDB-2-BAE
950 |aHumanities, Social Sciences and Law (SpringerNature-11648)
950 |aPhilosophy and Religion (R0) (SpringerNature-43725)
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