منابع مشابه
Gödel : The Completeness and Incompleteness The - orems Kurt
Gödel: The Completeness and Incompleteness Theorems Kurt Gödel (1906–1978) 1930-The completeness of first-order logic 1931-On formally undecidable statements of Principia Mathematica and related systems I Gödel's first paper proves the completeness of the axioms and rules of first-order logic, essentially as given in Hilbert and Ackermann. There has been much discussion as to why Skolem (or Her...
متن کاملKurt Gödel , ‘ Über formal unentscheidbare
First publication: Monatshefte für Mathematik und Physik, 37, 173–198 Reprints: S. Feferman et al., eds., Kurt Gödel. Collected Works. Volume I: Publications 1929–1936. New York: Oxford University Press, 1986, pp. 116–195. Translations: English translations: ‘On formally undecidable propositions of Principia mathematica and related systems I.’ Translation by B. Meltzer, On Formally Undecidable ...
متن کاملKurt Gödel and Computability Theory
Although Kurt Gödel does not figure prominently in the history of computabilty theory, he exerted a significant influence on some of the founders of the field, both through his published work and through personal interaction. In particular, Gödel’s 1931 paper on incompleteness and the methods developed therein were important for the early development of recursive function theory and the lambda ...
متن کاملGödel ’ s Incompleteness Results
Chapter 0: The Easy Way to Gödel’s Proof and Related Topics This short sketch of Gödel’s incompleteness proof shows how it arises naturally from Cantor’s diagonalization method [1891]. It renders Gödel’s proof and its relation to the semantic paradoxes transparent. Some historical details, which are often ignored, are pointed out. We also make some observations on circularity and draw brief com...
متن کاملOn the philosophical development of Kurt Gödel
Contents 1. Introduction 426 2. G ¨ odel's position in the 1950's—a stalemate 428 2.1. Inconclusive arguments 428 2.2. Realism and rationalism 430 2.3. Epistemological parity 434 2.4. A way out? 437 3. G ¨ odel's turn to Husserl's transcendental idealism 439 3.1. Varieties of idealism 439 3.2. G ¨ odel and German Idealism 440 3.3. The turn to Husserl's transcendental idealism 443 3.4. G ¨ odel'...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2007
ISSN: 1742-6596
DOI: 10.1088/1742-6596/82/1/012005