The New Encyclopædia BritannicaEncyclopædia Britannica, 1992 |
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Page 266
... formal treatments of science and philosophy . It has been thought that the success that metalogic had achieved in the mathematical disciplines could be carried over into physics and even into biology or psychology . In so doing , the ...
... formal treatments of science and philosophy . It has been thought that the success that metalogic had achieved in the mathematical disciplines could be carried over into physics and even into biology or psychology . In so doing , the ...
Page 557
... formal axiomatic theory and to prove this theory consistent - i.e . , free from contradiction . Previous to this proposal of Hilbert , proofs of consistency had been given for axiomatic theories by interpreting their undefined terms in ...
... formal axiomatic theory and to prove this theory consistent - i.e . , free from contradiction . Previous to this proposal of Hilbert , proofs of consistency had been given for axiomatic theories by interpreting their undefined terms in ...
Page 559
... formal system and proving that system consistent by finitary methods . The part of Gödel's theorem that ~ A , is unprovable but true shows that not even the first step can be carried out fully . Despite the value of the logistic method ...
... formal system and proving that system consistent by finitary methods . The part of Gödel's theorem that ~ A , is unprovable but true shows that not even the first step can be carried out fully . Despite the value of the logistic method ...
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