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 ...
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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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Add this copy of Self-Reference and Modal Logic / By Craig Smorynski to cart. $31.00, very good condition, Sold by MW Books rated 5.0 out of 5 stars, ships from Galway, G, IRELAND, published 1985 by New York, NY: Springer New York: Imprint: Springer.
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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. Very good paperback copy; edges slightly dust-dulled and nicked. Remains particularly well-preserved overall; tight, bright, and clean.
Add this copy of Self-Reference and Modal Logic to cart. $128.31, new condition, Sold by GreatBookPricesUK5 rated 5.0 out of 5 stars, ships from Castle Donington, DERBYSHIRE, UNITED KINGDOM, published 1985 by Springer.
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New. Trade paperback (US). Glued binding. 333 p. Universitext. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Self-Reference and Modal Logic to cart. $128.31, like new condition, Sold by GreatBookPricesUK5 rated 5.0 out of 5 stars, ships from Castle Donington, DERBYSHIRE, UNITED KINGDOM, published 1985 by Springer.
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Fine. Trade paperback (US). Glued binding. 333 p. Universitext. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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Good. No Dust Jacket. 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.
Add this copy of Self-Reference and Modal Logic (Universitext) to cart. $95.53, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 1985 by Springer.
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Add this copy of Self-Reference and Modal Logic to cart. $104.11, new condition, Sold by Educational Media Centre rated 4.0 out of 5 stars, ships from New Delhi, DELHI, INDIA, published 1985 by Springer.
