Article ID: CBB073357293

Kurt Gödel's Anticipation of the Turing Machine: A Vitalistic Approach (2020)

unapi

In 1935/1936 Kurt Gödel wrote three notebooks on the foundations of quantum mechanics, which have now been entirely transcribed for the first time. Whereas a lot of the material is rather technical in character, many of Gödel's remarks have a philosophical background and concentrate on Leibnizian monadology as well as on vitalism. Obviously influenced by the vitalistic writings of Hans Driesch and his ‘proofs’ for the existence of an entelechy in every living organism, Gödel briefly develops the idea of a computing machine which closely resembles Turing's groundbreaking conception. After introducing the notebooks on quantum mechanics, this article describes Gödel's vitalistic Weltbild and the ideas leading to the development of his computing machine. It investigates a notion of lawlike sequence which closely resembles Turing's concept of a computable number and which Gödel himself calls ‘problematic’, and compares it to the opposed concept of randomness, drawing upon the notion of program-size complexity. Finally, Gödel's machine is implemented in a dialect of the Lisp programing language.

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Authors & Contributors
Adrien Vila Valls
Patrick Aidan Heelan
Philippe Stamenkovic
Rana, Adele La
Rasmus Jaksland
D'Agostino, Salvo
Journals
Studies in History and Philosophy of Science
Revue d'Histoire des Sciences
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
Science and Education
Physis: Rivista Internazionale di Storia della Scienza
Metascience: An International Review Journal for the History, Philosophy and Social Studies of Science
Publishers
Princeton University Press
Peter Lang
Oxford University Press
Fordham University Press
Éditions du Seuil
Cambridge University Press
Concepts
Quantum mechanics
Philosophy of science
Physics
Positivism
Epistemology
Philosophy
People
Heisenberg, Werner
Bohr, Niels Henrik David
Cassirer, Ernst
Heitler, Walter Heinrich
Wittgenstein, Ludwig
Whitehead, Alfred North
Time Periods
20th century, early
20th century, late
19th century
21st century
20th century
Places
Italy
Germany
France
Brussels (Belgium)
Berlin (Germany)
Institutions
Berlin Group (Philosophy)
Vienna Circle
Solvay Conferences
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