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portada Logic, Meaning and Computation: Essays in Memory of Alonzo Church
Type
Physical Book
Publisher
Author
Language
English
Pages
627
Format
Paperback
Dimensions
23.4 x 15.6 x 3.4 cm
Weight
0.91 kg.
ISBN13
9789401038911
Categories

Logic, Meaning and Computation: Essays in Memory of Alonzo Church

Anderson, C. Anthony ; Zelëny, Michael (Author) · Springer · Paperback

Logic, Meaning and Computation: Essays in Memory of Alonzo Church - Anderson, C. Anthony ; Zelëny, Michael

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Synopsis "Logic, Meaning and Computation: Essays in Memory of Alonzo Church"

Alonzo Church was undeniably one ofthe intellectual giants of theTwenti eth Century . These articles are dedicated to his memory and illustrate the tremendous importance his ideas have had in logic, mathematics, comput er science and philosophy . Discussions of some of thesevarious contributions have appeared in The Bulletin of Symbolic Logic, and th e interested reader is invited to seek details there . Here we justtry to give somegener al sense of the scope, depth, and value of his work. Church is perhaps best known for the theorem, appropriately called " C h u r c h ' s Theorem," that there is no decision procedure forthelogical valid ity of formulas first-order of logic . A d ecision proce dure forthat part of logic would have come near to fulfilling Leibniz's dream of a calculus that could be mechanically used tosettle logical disputes . It was not to . be It could not be . What Church proved precisely is that there is no lambda-definable function that can i n every case providethe right answer, ' y e s ' or ' n o', tothe question of whether or not any arbitrarily given formula is valid ."

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