2010, ISBN: 9789048155538
gebonden uitgave
[ED: Softcover], [PU: Springer Netherlands], hiS volume in the Synthese Library Series is the result of a conference T held at the University of Roskilde, Denmark, October 31st-November 1st, 1997. The aim was to provide a forum within which philosophers, math ematicians, logicians and historians of mathematics could exchange ideas pertaining to the historical and philosophical development of proof theory. Hence the conference was called Proof Theory: History and Philosophical Significance. To quote from the conference abstract: Proof theory was developed as part of Hilberts Programme. According to Hilberts Programme one could provide mathematics with a firm and se cure foundation by formalizing all of mathematics and subsequently prove consistency of these formal systems by finitistic means. Hence proof theory was developed as a formal tool through which this goal should be fulfilled. It is well known that Hilbert's Programme in its original form was unfeasible mainly due to Gtldel's incompleteness theorems. Additionally it proved impossible to formalize all of mathematics and impossible to even prove the consistency of relatively simple formalized fragments of mathematics by finitistic methods. In spite of these problems, Gentzen showed that by extending Hilbert's proof theory it would be possible to prove the consistency of interesting formal systems, perhaps not by finitis tic methods but still by methods of minimal strength. This generalization of Hilbert's original programme has fueled modern proof theory which is a rich part of mathematical logic with many significant implications for the philosophy of mathematics. Softcover reprint of hardcover 1st ed. 2000. 2010. xii, 257 S. XII, 257 p. 235 mm Versandfertig in 6-10 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)
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ISBN: 9789048155538
hiS volume in the Synthese Library Series is the result of a conference T held at the University of Roskilde, Denmark, October 31st-November 1st, 1997. The aim was to provide a forum within which philosophers, math ematicians, logicians and historians of mathematics could exchange ideas pertaining to the historical and philosophical development of proof theory. Hence the conference was called Proof Theory: History and Philosophical Significance. To quote from the conference abstract: Proof theory was developed as part of Hilberts Programme. According to Hilberts Programme one could provide mathematics with a firm and se cure foundation by formalizing all of mathematics and subsequently prove consistency of these formal systems by finitistic means. Hence proof theory was developed as a formal tool through which this goal should be fulfilled. It is well known that Hilbert's Programme in its original form was unfeasible mainly due to Gtldel's incompleteness theorems. Additionally it proved impossible to formalize all of mathematics and impossible to even prove the consistency of relatively simple formalized fragments of mathematics by finitistic methods. In spite of these problems, Gentzen showed that by extending Hilbert's proof theory it would be possible to prove the consistency of interesting formal systems, perhaps not by finitis tic methods but still by methods of minimal strength. This generalization of Hilbert's original programme has fueled modern proof theory which is a rich part of mathematical logic with many significant implications for the philosophy of mathematics. Books > Philosophy Soft cover, Springer Shop
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ISBN: 9789048155538
hiS volume in the Synthese Library Series is the result of a conference T held at the University of Roskilde, Denmark, October 31st-November 1st, 1997. The aim was to provide a forum within which philosophers, math ematicians, logicians and historians of mathematics could exchange ideas pertaining to the historical and philosophical development of proof theory. Hence the conference was called Proof Theory: History and Philosophical Significance. To quote from the conference abstract: Proof theory was developed as part of Hilberts Programme. According to Hilberts Programme one could provide mathematics with a firm and se cure foundation by formalizing all of mathematics and subsequently prove consistency of these formal systems by finitistic means. Hence proof theory was developed as a formal tool through which this goal should be fulfilled. It is well known that Hilbert''s Programme in its original form was unfeasible mainly due to Gtldel''s incompleteness theorems. Additionally it proved impossible to formalize all of mathematics and impossible to even prove the consistency of relatively simple formalized fragments of mathematics by finitistic methods. In spite of these problems, Gentzen showed that by extending Hilbert''s proof theory it would be possible to prove the consistency of interesting formal systems, perhaps not by finitis tic methods but still by methods of minimal strength. This generalization of Hilbert''s original programme has fueled modern proof theory which is a rich part of mathematical logic with many significant implications for the philosophy of mathematics. Books List_Books
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1997, ISBN: 9789048155538
The conference on Proof Theory: History and Philosophical Significance held in 1997 at the University of Roskilde, Denmark, tracked the history of proof theory and its role in the analysis of the philosophical foundations of mathematics since Hilbert's original program to its modern, highly articulated form. This volume is a collection of papers presented at the conference. It can be read with profit and pleasure by philosophers, mathematicians, computer scientists and scholars with no professional training in proof theory, provided they have a general knowledge of foundational issues. Proof Theory: History and Philosophical Significance Hendricks, Vincent F. / Pedersen, Stig Andur / Jorgensen, Klaus Frovin, Springer
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ISBN: 9789048155538
Paperback, [PU: Springer], This generalization of Hilbert's original programme has fueled modern proof theory which is a rich part of mathematical logic with many significant implications for the philosophy of mathematics., Philosophy: Logic
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2010, ISBN: 9789048155538
gebonden uitgave
[ED: Softcover], [PU: Springer Netherlands], hiS volume in the Synthese Library Series is the result of a conference T held at the University of Roskilde, Denmark, October 31st-November 1… Meer...
ISBN: 9789048155538
hiS volume in the Synthese Library Series is the result of a conference T held at the University of Roskilde, Denmark, October 31st-November 1st, 1997. The aim was to provide a forum with… Meer...
ISBN: 9789048155538
hiS volume in the Synthese Library Series is the result of a conference T held at the University of Roskilde, Denmark, October 31st-November 1st, 1997. The aim was to provide a forum with… Meer...
1997, ISBN: 9789048155538
The conference on Proof Theory: History and Philosophical Significance held in 1997 at the University of Roskilde, Denmark, tracked the history of proof theory and its role in the analysi… Meer...
ISBN: 9789048155538
Paperback, [PU: Springer], This generalization of Hilbert's original programme has fueled modern proof theory which is a rich part of mathematical logic with many significant implications… Meer...
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Gedetalleerde informatie over het boek. - Proof Theory: History and Philosophical Significance
EAN (ISBN-13): 9789048155538
ISBN (ISBN-10): 9048155533
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
272 Bladzijden
Gewicht: 0,415 kg
Taal: eng/Englisch
Boek bevindt zich in het datenbestand sinds 2011-07-15T18:14:03+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2019-12-07T20:08:10+01:00 (Amsterdam)
ISBN/EAN: 9789048155538
ISBN - alternatieve schrijfwijzen:
90-481-5553-3, 978-90-481-5553-8
Gegevens van de uitgever
Auteur: Vincent F. Hendricks; Stig Andur Pedersen; Klaus Frovin Jørgensen
Titel: Synthese Library; Proof Theory - Studies in Epistemology, Logic, Methodology, and Philosophy of Science; History and Philosophical Significance
Uitgeverij: Springer; Springer Netherland
257 Bladzijden
Verschijningsjaar: 2010-12-05
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,421 kg
Taal: Engels
139,09 € (DE)
142,99 € (AT)
153,50 CHF (CH)
POD
BC; Previously published in hardcover; Hardcover, Softcover / Philosophie/Allgemeines, Lexika; Philosophie: Logik; Verstehen; history of mathematics; proof; proof theory; C; Logic; Mathematical Logic and Foundations; History of Mathematical Sciences; Philosophy of Science; Logic; Mathematical Logic and Foundations; History of Mathematical Sciences; Philosophy of Science; Religion and Philosophy; Mathematische Grundlagen; Mathematik: Logik; Geschichte der Mathematik; Wissenschaftsphilosophie und -theorie; BB
Preface. Contributing Authors. Introduction. Part 1: Review of Proof Theory. Highlights in Proof Theory; S. Feferman. Part 2: The Background of Hilbert's Proof Theory. The Empiricist Roots of Hilbert's Axiomatic Approach; L. Corry. The Calm Before the Storm: Hilbert's Early Views on Foundations; D. Rowe. Toward Finitist Proof Theory; W. Sieg. Part 3: Brouwer and Weyl on Proof Theory and Philosophy of Mathematics. The Development of Brouwer's Intuitionism; D. van Dalen. Did Brouwer's Intuitionistic Analysis Satisfy its own Epistemological Standards? M. Epple. The Significance of Weyl's Das Kontinuum; S. Feferman. Herman Weyl on the Concept of Continuum; E. Scholz. Part 4: Modern Views and Results from Proof Theory. Relationships between Constructive, Predicative and Classical Systems of Analysis; S. Feferman. Index.Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:
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