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001472023 001__ 1472023
001472023 003__ OCoLC
001472023 005__ 20230908003326.0
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001472023 019__ $$a1390774492
001472023 020__ $$a9783031378751$$q(electronic bk.)
001472023 020__ $$a303137875X$$q(electronic bk.)
001472023 020__ $$z9783031378744
001472023 020__ $$z3031378741
001472023 0247_ $$a10.1007/978-3-031-37875-1$$2doi
001472023 035__ $$aSP(OCoLC)1391143808
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001472023 049__ $$aISEA
001472023 050_4 $$aQA9
001472023 08204 $$a511.3$$223/eng/20230726
001472023 24500 $$aKurt Gödel :$$bresults on foundations /$$cMaria Hämeen-Anttila, Jan von Plato, editors.
001472023 264_1 $$aCham :$$bSpringer,$$c[2023]
001472023 264_4 $$c©2023
001472023 300__ $$a1 online resource (ix, 319 pages).
001472023 336__ $$atext$$btxt$$2rdacontent
001472023 337__ $$acomputer$$bc$$2rdamedia
001472023 338__ $$aonline resource$$bcr$$2rdacarrier
001472023 4901_ $$aSources and studies in the history of mathematics and physical sciences,$$x2196-8829
001472023 504__ $$aIncludes bibliographical references and index.
001472023 5050_ $$aPreface -- Part I. Gödel's Results on Foundations -- Part II. Resultats on Foundations -- Part III. Additional Items and Problem Lists -- Index of names in the Resultate Grundlagen.
001472023 506__ $$aAccess limited to authorized users.
001472023 520__ $$aKurt Gödel (1906-1978) gained world-wide fame by his incompleteness theorem of 1931. Later, he set as his aim to solve what are known as Hilbert's first and second problems, namely Cantor's continuum hypothesis about the cardinality of real numbers, and secondly the consistency of the theory of real numbers and functions. By 1940, he was halfway through the first problem, in what was his last published result in logic and foundations. His intense attempts thereafter at solving these two problems have remained behind the veil of a forgotten German shorthand he used in all of his writing. Results on Foundations is a set of four shorthand notebooks written in 1940-42 that collect results Gödel considered finished. Its main topic is set theory in which Gödel anticipated several decades of development. Secondly, Gödel completed his 1933 program of establishing the connections between intuitionistic and modal logic, by methods and results that today are at the same time new and 80 years old. The present edition of Gödel's four notebooks encompasses the 368 numbered pages and 126 numbered theorems of the Results on Foundations, together with a list of 74 problems on set theory Gödel prepared in 1946, and a list of an unknown date titled "The grand program of my research in ca. hundred questions.''.
001472023 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 26, 2023).
001472023 60010 $$aGödel, Kurt.$$0(OCoLC)oca00241892
001472023 650_0 $$aLogic, Symbolic and mathematical.
001472023 655_0 $$aElectronic books.
001472023 7001_ $$aHämeen-Anttila, Maria.$$eeditor.
001472023 7001_ $$aVon Plato, Jan.,$$eeditor.
001472023 77608 $$iPrint version: $$z3031378741$$z9783031378744$$w(OCoLC)1385293466
001472023 830_0 $$aSources and studies in the history of mathematics and physical sciences.$$x2196-8829
001472023 852__ $$bebk
001472023 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-37875-1$$zOnline Access$$91397441.1
001472023 909CO $$ooai:library.usi.edu:1472023$$pGLOBAL_SET
001472023 980__ $$aBIB
001472023 980__ $$aEBOOK
001472023 982__ $$aEbook
001472023 983__ $$aOnline
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