7 resultados para Dialectical

em University of Michigan


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Mode of access: Internet.

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Includes bibliographical references.

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At head of title: N. Belʹtov.

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Die Fortsetzung dieser Abhandlung ... [ist] einzusehen in der Zeitschrift fur Philosophie und philos. Kritik von Fichte und Ulrici in Halle Jahrgang 1878 und in der Beilage zu dieser Zeitschrift. -- p. [32]

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Translation of: Ludwig Feuerbach und der Ausgang der klassischen deutschen Philosophie.

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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.