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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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Self-Reference and Modal Logic
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Springer-Verlag, New York, 1985
ISBN 10: 0387962093
ISBN 13: 9780387962092
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Hardcover. Condition: Good. Dust Jacket Condition: No Dust Jacket. First Edition. Hardcover. An ex-library copy bound in heavy blue library cloth with a paper on-lay to the front cover. The usual ex-libris markings. The binding is sound, the text is clean/unmarked, and there is little cover wear. No dust jacket. Book. Seller Inventory # 063576
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Self-Reference and Modal Logic / by Craig Smorynski
Published by
New York, NY : Springer New York : Imprint: Springer, 1985
ISBN 10: 0387962093
ISBN 13: 9780387962092
Used
Hardcover
First Edition
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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. Seller Inventory # 422993
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Self-Reference and Modal Logic / by Craig Smorynski
Published by
New York, NY : Springer New York : Imprint: Springer, 1985
ISBN 10: 0387962093
ISBN 13: 9780387962092
Used
Hardcover
First Edition
Seller: MW Books, New York, NY, U.S.A.
Seller rating 5 out of 5 stars
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. Seller Inventory # 422993
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Self-Reference and Modal Logic (Universitext)
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Condition: good. A copy that has been read, remains in good condition. All pages are intact, and the cover is intact. The spine and cover show signs of wear. Pages can include notes and highlighting and show signs of wear, and the copy can include "From the library of" labels or previous owner inscriptions. 100% GUARANTEE! Shipped with delivery confirmation, if you're not satisfied with purchase please return item! Ships via media mail. Seller Inventory # OTV.0387962093.G
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Self-Reference and Modal Logic (Universitext)
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Self-Reference and Modal Logic
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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
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Taschenbuch. Condition: 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. Seller Inventory # 9780387962092
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Self-Reference and Modal Logic
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