Self-Reference and Modal Logic

Language: English

Published by Springer, 1985

0387962093 / 9780387962092

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.…

Seller Inventory # 9780387962092

Title
Self-Reference and Modal Logic
Author
Craig Smorynski
Publisher
Springer
Publication year
1985
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
0387962093
ISBN 13
9780387962092
Item weight
534 grams
Dimensions
235x155x20 mm

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