42 resultados para Symbolic computation and algebraic computation
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Issued July 1977.
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Mode of access: Internet.
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"This report reproduces a thesis of the same title submitted to the Department of Electrical Engineering, Massachusetts Institute of Technology, in partial fulfillment of the requirements for the degree of Doctor of Philosophy, May 1970."--p. 2
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"List of treatises on stresses": p. 190.
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Mode of access: Internet.
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Mode of access: Internet.
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Mode of access: Internet.
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Shipping list no.: 87-677-P.
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Mode of access: Internet.
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Mode of access: Internet.
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Mode of access: Internet.
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The Church-Turing Thesis is widely regarded as true, because of evidence that there is only one genuine notion of computation. By contrast, there are nowadays many different formal logics, and different corresponding foundational frameworks. Which ones can deliver a theory of computability? This question sets up a difficult challenge: the meanings of basic mathematical terms (like "set", "function", and "number") are not stable across frameworks. While it is easy to compare what different frameworks say, it is not so easy to compare what they mean. We argue for some minimal conditions that must be met if two frameworks are to be compared; if frameworks are radical enough, comparison becomes hopeless. Our aim is to clarify the dialectical situation in this bourgeoning area of research, shedding light on the nature of non-classical logic and the notion of computation alike.