Items related to 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.
"synopsis" may belong to another edition of this title.
- PublisherSpringer
- Publication date1985
- ISBN 10 0387962093
- ISBN 13 9780387962092
- BindingPaperback
- LanguageEnglish
- Number of pages333
Other Popular Editions of the Same Title
Search results for Self-Reference and Modal Logic (Universitext)
Seller Image
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
Quantity: 1 available
Seller Image
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 Ltd., Galway, Ireland
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
Quantity: 1 available
Stock Image
Self-Reference and Modal Logic (Universitext)
Seller: Anybook.com, Lincoln, United Kingdom
Seller rating 5 out of 5 stars
Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:0387962093. Seller Inventory # 5840077
Quantity: 1 available
Stock Image
Self-Reference and Modal Logic (Universitext)
Seller: Ammareal, Morangis, France
Seller rating 5 out of 5 stars
Softcover. Condition: 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. Seller Inventory # G-128-767
Quantity: 1 available
Stock Image
Self-Reference and Modal Logic (Universitext)
Seller: Chiron Media, Wallingford, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. Seller Inventory # 6666-IUK-9780387962092
Quantity: 10 available
Stock Image
Self-Reference and Modal Logic (Universitext)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9780387962092_new
Quantity: Over 20 available
Stock Image
Self-Reference and Modal Logic (Universitext)
Seller: Mooney's bookstore, Den Helder, Netherlands
Seller rating 4 out of 5 stars
Condition: Very good. Seller Inventory # 9780387962092-2-2
Quantity: 1 available
Stock Image
Self-Reference and Modal Logic (Universitext)
Seller: HPB-Red, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
paperback. Condition: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_352655953
Quantity: 1 available
Seller Image
Self-Reference and Modal Logic
Print on DemandSeller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Condition: 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. Seller Inventory # 5912686
Quantity: Over 20 available
Seller Image
Self-Reference and Modal Logic
Published by
Springer New York Sep 1985, 1985
ISBN 10: 0387962093
ISBN 13: 9780387962092
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
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
Quantity: 2 available