Articles liés à Self-Reference and Modal Logic (Universitext)
Synopsis
It is Sunday, the 7th of September 1930. The place is Konigsberg and the occasion is a small conference on the foundations of mathematics. Arend Heyting, the foremost disciple of L. E. J. Brouwer, has spoken on intuitionism; Rudolf Carnap of the Vienna Circle has expounded on logicism; Johann (formerly Janos and in a few years to be Johnny) von Neumann has explained Hilbert's proof theory-- the so-called formalism; and Hans Hahn has just propounded his own empiricist views of mathematics. The floor is open for general discussion, in the midst of which Heyting announces his satisfaction with the meeting. For him, the relationship between formalism and intuitionism has been clarified: There need be no war between the intuitionist and the formalist. Once the formalist has successfully completed Hilbert's programme and shown "finitely" that the "idealised" mathematics objected to by Brouwer proves no new "meaningful" statements, even the intuitionist will fondly embrace the infinite. To this euphoric revelation, a shy young man cautions "According to the formalist conception one adjoins to the meaningful statements of mathematics transfinite (pseudo-')statements which in themselves have no meaning but only serve to make the system a well-rounded one just as in geometry one achieves a well- rounded system by the introduction of points at infinity.
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- ÉditeurSpringer
- Date d'édition1985
- ISBN 10 0387962093
- ISBN 13 9780387962092
- ReliureBroché
- Langueanglais
- Nombre de pages352
- Coordonnées du fabricantnon disponible
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Self-Reference and Modal Logic / by Craig Smorynski
Edité par
New York, NY : Springer New York : Imprint: Springer, 1985
ISBN 10 : 0387962093
ISBN 13 : 9780387962092
Ancien ou d'occasion
Couverture rigide
Edition originale
Vendeur : MW Books, New York, NY, Etats-Unis
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1st edition. Very good paperback copy; edges slightly dust-dulled and nicked. Remains particularly well-preserved overall; tight, bright, and clean. Physical description; 333 p. Contents; 0. Introduction -- 1. The Incompleteness Theorems -- 2. Self-Reference -- 3. Things to Come -- 4. The Theory PRA -- 5. Encoding Syntax in PRA -- 6. Additional Arithmetic Prerequisites -- I. The Logic of Provability -- 1. Provability as Modality -- 2. Modal Model Theory -- 3. Arithmetic Interpretations of PRL -- II. Multi-Modal Logic and Self-Reference -- 4. Bi-Modal Logics and Their Arithmetic Interpretations -- 5. Fixed Point Algebras -- III. Non-Extensional Self-Reference -- 6. Rosser Sentences -- 7. An Ubiquitous Fixed Point Calculation. Subjects; Mathematical logic. Mathematical Logic and Foundations. Modality (Logic). Mathematics. Logic, Symbolic and mathematical. Logic, Symbolic and mathematical. Mathematics. Mathematical Logic and Foundations. 1 Kg. N° de réf. du vendeur 422993
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Self-Reference and Modal Logic / by Craig Smorynski
Edité par
New York, NY : Springer New York : Imprint: Springer, 1985
ISBN 10 : 0387962093
ISBN 13 : 9780387962092
Ancien ou d'occasion
Couverture rigide
Edition originale
Vendeur : MW Books Ltd., Galway, Irlande
Évaluation du vendeur 5 sur 5 étoiles
1st edition. Very good paperback copy; edges slightly dust-dulled and nicked. Remains particularly well-preserved overall; tight, bright, and clean. Physical description; 333 p. Contents; 0. Introduction -- 1. The Incompleteness Theorems -- 2. Self-Reference -- 3. Things to Come -- 4. The Theory PRA -- 5. Encoding Syntax in PRA -- 6. Additional Arithmetic Prerequisites -- I. The Logic of Provability -- 1. Provability as Modality -- 2. Modal Model Theory -- 3. Arithmetic Interpretations of PRL -- II. Multi-Modal Logic and Self-Reference -- 4. Bi-Modal Logics and Their Arithmetic Interpretations -- 5. Fixed Point Algebras -- III. Non-Extensional Self-Reference -- 6. Rosser Sentences -- 7. An Ubiquitous Fixed Point Calculation. Subjects; Mathematical logic. Mathematical Logic and Foundations. Modality (Logic). Mathematics. Logic, Symbolic and mathematical. Logic, Symbolic and mathematical. Mathematics. Mathematical Logic and Foundations. 1 Kg. N° de réf. du vendeur 422993
Quantité disponible : 1 disponible(s)
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Self-Reference and Modal Logic (Universitext)
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Springer-Verlag, 1985
ISBN 10 : 0387962093
ISBN 13 : 9780387962092
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Self-Reference and Modal Logic (Universitext)
Edité par
Springer, 1985
ISBN 10 : 0387962093
ISBN 13 : 9780387962092
Ancien ou d'occasion
Softcover
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Softcover. Etat : Bon. Ancien livre de bibliothèque avec équipements. Couverture différente. Edition 1985. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Good. Former library book. Different cover. Edition 1985. Ammareal gives back up to 15% of this item's net price to charity organizations. N° de réf. du vendeur G-128-767
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Self-Reference and Modal Logic
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Springer New York, 1985
ISBN 10 : 0387962093
ISBN 13 : 9780387962092
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. It is Sunday, the 7th of September 1930. The place is Konigsberg and the occasion is a small conference on the foundations of mathematics. Arend Heyting, the foremost disciple of L. E. J. Brouwer, has spoken on intuitionism Rudolf Carnap of the Vienna Circ. N° de réf. du vendeur 5912686
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Self-Reference and Modal Logic (Universitext)
Edité par
Springer, 1985
ISBN 10 : 0387962093
ISBN 13 : 9780387962092
Ancien ou d'occasion
paperback
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Self-Reference and Modal Logic (Universitext)
Edité par
Springer, 1985
ISBN 10 : 0387962093
ISBN 13 : 9780387962092
Ancien ou d'occasion
Couverture souple
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Self-Reference and Modal Logic (Universitext)
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Self-Reference and Modal Logic (Universitext)
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Self-Reference and Modal Logic
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Springer New York Sep 1985, 1985
ISBN 10 : 0387962093
ISBN 13 : 9780387962092
Neuf
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -It is Sunday, the 7th of September 1930. The place is Konigsberg and the occasion is a small conference on the foundations of mathematics. Arend Heyting, the foremost disciple of L. E. J. Brouwer, has spoken on intuitionism; Rudolf Carnap of the Vienna Circle has expounded on logicism; Johann (formerly Janos and in a few years to be Johnny) von Neumann has explained Hilbert's proof theory-- the so-called formalism; and Hans Hahn has just propounded his own empiricist views of mathematics. The floor is open for general discussion, in the midst of which Heyting announces his satisfaction with the meeting. For him, the relationship between formalism and intuitionism has been clarified: There need be no war between the intuitionist and the formalist. Once the formalist has successfully completed Hilbert's programme and shown 'finitely' that the 'idealised' mathematics objected to by Brouwer proves no new 'meaningful' statements, even the intuitionist will fondly embrace the infinite. To this euphoric revelation, a shy young man cautions~ 'According to the formalist conception one adjoins to the meaningful statements of mathematics transfinite (pseudo-')statements which in themselves have no meaning but only serve to make the system a well-rounded one just as in geometry one achieves a well rounded system by the introduction of points at infinity. 352 pp. Englisch. N° de réf. du vendeur 9780387962092
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