Minds, Machines And Gödel
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"Minds, Machines and Gödel" is
J. R. Lucas John Randolph Lucas (18 June 1929 – 5 April 2020) was a British philosopher. Biography Lucas was educated at Winchester College and then, as a pupil of R. M. Hare, R.M. Hare, among others, at Balliol College, Oxford. He studied first mathe ...
's 1959 philosophical paper in which he argues that a human
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
cannot be accurately represented by an algorithmic automaton. Appealing to Gödel's incompleteness theorem, he argues that for any such automaton, there would be some mathematical formula which it could not prove, but which the human mathematician could both see, and show, to be true. The paper is a Gödelian argument against
mechanism Mechanism may refer to: *Mechanism (economics), a set of rules for a game designed to achieve a certain outcome **Mechanism design, the study of such mechanisms *Mechanism (engineering), rigid bodies connected by joints in order to accomplish a ...
. Lucas presented the paper in 1959 to the Oxford Philosophical Society. It was first printed in ''Philosophy'', XXXVI, 1961, then reprinted in ''The Modeling of Mind'',
Kenneth M. Sayre Kenneth M. Sayre (August 13, 1928 – October 6, 2022) was an American philosopher who spent most of his career at the University of Notre Dame (ND). His early career was devoted mainly to philosophic applications of artificial intelligence, cybe ...
and Frederick J. Crosson, eds., Notre Dame Press, 1963, and in ''Minds and Machines'', ed. Alan Ross Anderson, Prentice-Hall, 1964, .


See also

*
Artificial intelligence Artificial intelligence (AI) is the capability of computer, computational systems to perform tasks typically associated with human intelligence, such as learning, reasoning, problem-solving, perception, and decision-making. It is a field of re ...
*
Philosophy of artificial intelligence The philosophy of artificial intelligence is a branch of the philosophy of mind and the philosophy of computer science that explores artificial intelligence and its implications for knowledge and understanding of intelligence, ethics, conscious ...


References


External links


Minds, Machines and Gödel — the original paper
Philosophy papers 1959 essays Works originally published in Philosophy (journal) Cognitive science literature {{philo-essay-stub