You are looking at 1-11 of 11 entries  for:

  • All : Kurt Friedrich Gödel x
clear all

View:

Gödel, Kurt Friedrich

Gödel, Kurt Friedrich (1906–78)   Reference library

The Dictionary of Modern American Philosophers

Reference type:
Subject Reference
Current Version:
2010
Subject:
Philosophy
Length:
4,168 words

..., Kurt Friedrich ( 1906–78 ) Kurt Gödel was born on 28 April 1906 in Brünn, Moravia, then part of Austria and now Brno, Czech Republic. In 1924 he entered the University of Vienna, initially to study physics but eventually studying mathematics with Hans Hahn. He also attended lectures in philosophy and sessions of the Vienna Circle of logical positivists including Rudolf Carnap . Gödel completed the PhD in mathematics in 1929 and qualified as a Privatdozent (unsalaried lecturer) in 1933 . He retained that position until it was abolished after...

Kurt Gödel

Kurt Gödel  

Reference type:
Overview Page
Subject:
Philosophy
(1906–1978)Austrian-born US logician and mathematician, who discovered one of the most important mathematical results – the undecidability of mathematics.Born in Brno (now in the Czech Republic), the ...
Moritz Schlick

Moritz Schlick  

Reference type:
Overview Page
Subject:
Philosophy
(1882–1936)German philosopher and physicist, founder of the famous school of logical positivists known as the Vienna Circle.Schlick was born in Berlin and educated at the university there, where he ...
Van Heijenoort, Jean Louis Maxime

Van Heijenoort, Jean Louis Maxime (1912–86)   Reference library

The Dictionary of Modern American Philosophers

Reference type:
Subject Reference
Current Version:
2010
Subject:
Philosophy
Length:
1,727 words

...a visiting professor in 1960 and thereafter as professor of mathematics from 1965 until retirement in 1977 , teaching logic, its history, and philosophy. From 1981 until his death in 1986 , van Heijenoort was a visiting professor at Stanford University, working on the Kurt Gödel Edition Project, the Trotsky papers at Stanford’s Hoover Institution, and an uncompleted study comparing the philosophies of history of Trotsky and Thucydides. During debates between the New York Trotskyites, especially Max Eastman , James Burnham , and Sidney Hook , ...

Vienna Circle

Vienna Circle   Reference library

The Oxford Companion to Philosophy (2 ed.)

Reference type:
Subject Reference
Current Version:
2005
Subject:
Philosophy
Length:
701 words

...came to Vienna in 1926 , left in 1931 . He was installed at the University of Chicago in 1936 , the year Schlick was assassinated in Vienna on the university steps. In 1938 the Circle's last Vienna organization was officially dissolved, Neurath and Friedrich Waismann went to Oxford, and Kurt Gödel went to Princeton. Tarski's work on the semantics of formal languages and Popper's attempts to explain the difference between real and spurious science were important influences on the Circle. Another was the work of Wittgenstein . His Tractatus was...

Bergmann, Gustav

Bergmann, Gustav (1906–87)   Reference library

The Dictionary of Modern American Philosophers

Reference type:
Subject Reference
Current Version:
2010
Subject:
Philosophy
Length:
1,708 words

...was born on 4 May 1906 in Vienna, Austria. Before going to the university, he attended the same gymnasium as Kurt GÖdel , with whom he maintained a friendly contact. He attended the University of Vienna, where he studied mathematics and minored in philosophy, working in geometry with Hans Hahn, a member of the Vienna Circle. Through his membership of the Vienna Circle he was especially influenced by GÖdel , by Moritz Schlick, Friedrich Waismann, and Rudolf Carnap . He wrote his doctoral thesis under Hahn ’s direction on the axiomatics of geometry,...

Mathematics

Mathematics   Reference library

Arkady Plotnitsky

Encyclopedia of Aesthetics (2 ed.)

Reference type:
Subject Reference
Current Version:
2014
Subject:
Art & Architecture, Philosophy
Length:
7,170 words

...another mathematical (or, indeed, philosophical) argument itself—write it out in term of mathematical symbols, for example. Extending from Leibniz (and his predecessors) into the present, this project was responsible for the emergence of mathematical logic and, finally, led to Kurt Gödel’s famous incompleteness theorems. The first theorem proves that most mathematical systems (at least those containing arithmetic) contain, as they are called, undecidable propositions—that is, propositions that cannot be proven as either true or false within the system in which...

Vienna Circle

Vienna Circle   Reference library

Encyclopedia of Semiotics

Reference type:
Subject Reference
Current Version:
2007
Subject:
Language reference, Linguistics
Length:
2,147 words

...Otto Neurath with the editorial help of Rudolf Carnap and Hans Hahn , the monograph lists the following members of the Circle: Schlick , Neurath , Carnap , Hahn , Gustav Bergmann , Herbert Feigl , Philipp Frank , Kurt Gödel , Victor Kraft , Karl Menger , Marcel Natkin , Olga Hahn‐Neurath , Theodor Radakovic , and Friedrich Waismann . The Circle worked closely with other contemporary Viennese intellectuals, including Edgar Zilsel , Karl Popper , and Ludwig Wittgenstein . As a clue to the self‐conception of the Circle, the monograph listed ...

Carnap, Rudolf

Carnap, Rudolf (1891–1970)   Reference library

The Dictionary of Modern American Philosophers

Reference type:
Subject Reference
Current Version:
2010
Subject:
Philosophy
Length:
4,236 words

...single, Wittgensteinian language. But after three years of work on this attempt, Carnap was convinced by Alfred Tarski in early 1930 that his results did not really capture the meta-mathematical concepts intended. He abandoned the axiomatics project. Worse, that summer Kurt GÖdel showed that there were true arithmetic sentences that could not be proved from the axioms of arithmetic – a result that contradicted the main theorem of Carnap’s axiomatics project. And all these results had been arrived at by Hilbert’s metamathematical method. By the end of ...

Mathematics and Aesthetics

Mathematics and Aesthetics   Reference library

Encyclopedia of Aesthetics

Reference type:
Subject Reference
Current Version:
2008
Subject:
Art & Architecture, Philosophy
Length:
6,562 words

...mathematical (or, indeed, philosophical) argument itself, write it out in term of mathematical symbols, for example. Extending from Leibniz (and his predecessors) into the present, this project was responsible for the emergence of mathematical logic and, finally, led to Kurt Gödel 's famous incompleteness theorems. The first theorem proves that most mathematical systems (at least those containing arithmetic) contain, as they are called, undecidable propositions, that is, propositions that cannot be proven as either true or false within the system in...

Whitehead, Alfred North

Whitehead, Alfred North (1861–1947)   Reference library

The Dictionary of Modern American Philosophers

Reference type:
Subject Reference
Current Version:
2010
Subject:
Philosophy
Length:
4,133 words

...land, and the broadly speculative and metaphysical interests that characterize a presumably distinct American period. However, this demarcation may not be justified. The major portion of the early logical work has since been undermined by the later Ludwig Wittgenstein and Kurt GÖdel , whose famous “incompleteness theorem” in 1931 discredited the project of foundational certainty that the Principia (under Russell’s influence) had sought. Whitehead himself increasingly harbored suspicions about that positivist project, even as he modestly (and...

View: