Logic, Meaning and Computation Essays in Memory of Alonzo Church |
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| Author:
| Church, Alonzo |
| Editor:
| Anderson, C. Anthony
Zelëny, Michael
Berger, Ulrich |
| Series title: | Synthese Library |
| ISBN: | 978-1-4020-0141-3 |
| Publication Date: | Jan 2002 |
| Publisher: | Springer Netherlands
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| Imprint: | Springer |
| Book Format: | Hardback |
| List Price: | USD $169.99 |
Book Description:
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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...
More DescriptionAlonzo 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 .