LEADER 03528nam 22006135 450 001 9910734876203321 005 20240522123632.0 010 $a3-031-37875-X 024 7 $a10.1007/978-3-031-37875-1 035 $a(MiAaPQ)EBC30651915 035 $a(Au-PeEL)EBL30651915 035 $a(DE-He213)978-3-031-37875-1 035 $a(PPN)272250767 035 $a(CKB)27627160100041 035 $a(EXLCZ)9927627160100041 100 $a20230717d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aKurt Gödel: Results on Foundations /$fedited by Maria Hämeen-Anttila, Jan von Plato 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2023. 215 $a1 online resource (327 pages) 225 1 $aSources and Studies in the History of Mathematics and Physical Sciences,$x2196-8829 311 08$aPrint version: Hämeen-Anttila, Maria Kurt Gödel: Results on Foundations Cham : Springer,c2023 9783031378744 327 $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. 330 $aKurt Gödel (1906-1978) gained world-wide fame by his incompleteness theorem of 1931. Later, he set as his aim to solve what are known as Hilbert's first and second problems, namely Cantor's continuum hypothesis about the cardinality of real numbers, and secondly the consistency of the theory of real numbers and functions. By 1940, he was halfway through the first problem, in what was his last published result in logic and foundations. His intense attempts thereafter at solving these two problems have remained behind the veil of a forgotten German shorthand he used in all of his writing. Results on Foundations is a set of four shorthand notebooks written in 1940-42 that collect results Gödel considered finished. Its main topic is set theory in which Gödel anticipated several decades of development. Secondly, Gödel completed his 1933 program of establishing the connections between intuitionistic and modal logic, by methods and results that today are at the same time new and 80 years old. The present edition of Gödel's four notebooks encompasses the 368 numbered pages and 126 numbered theorems of the Results on Foundations, together with a list of 74 problems on set theory Gödel prepared in 1946, and a list of an unknown date titled "The grand program of my research in ca. hundred questions.''. 410 0$aSources and Studies in the History of Mathematics and Physical Sciences,$x2196-8829 606 $aMathematics 606 $aHistory 606 $aMathematical logic 606 $aHistory of Mathematical Sciences 606 $aMathematical Logic and Foundations 606 $aLògica matemàtica$2thub 608 $aLlibres electrònics$2thub 615 0$aMathematics. 615 0$aHistory. 615 0$aMathematical logic. 615 14$aHistory of Mathematical Sciences. 615 24$aMathematical Logic and Foundations. 615 7$aLògica matemàtica 676 $a510.9 676 $a511.3 700 $aHämeen-Anttila$b Maria$01255025 701 $avon Plato$b Jan$0766770 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910734876203321 996 $aKurt Gödel: Results on Foundations$93577243 997 $aUNINA