Titlebook: Logic and Philosophy of Science in Uppsala; Dag Prawitz,Dag Westerståhl Book 1994 Springer Science+Business Media B.V. 1994 cognitive scie

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Logic in Transition: The Logical Calculi of Hilbert (1905) and Zermelo (1908)hematics, and fully grasped the eminent role of set theory for the foundation of mathematics. In this paper I intend to give a brief presentation of these calculi using hitherto unpublished material from the . of Hilbert in Göttingen. and Zermelo in Freiburg i.Br..

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Belief Revision: Subjectivist Principles and Practices. There is much misunderstanding as to the meaning of subjectivism. Therefore, we shall focus our discussion on the subjectivist attitude. (Technical details and applications may be found in the references to this paper.)

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browbeat

Logic and Philosophy of Science in Uppsala978-94-015-8311-4Series ISSN 0166-6991 Series E-ISSN 2542-8292

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Synthese Libraryhttp://image.papertrans.cn/l/image/587981.jpg

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Theoretical Explanation and UnificationThe explanatory value of a theory and the degree to which it unifies a body of scientific knowledge are two widely recognized and intimately related theoretical virtues. These two virtues seem so closely related, in fact, that it is tempting to reduce the explanatory character of theories to their unifying power.

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How to Fix a PriorWe sometimes add new information to our states of full belief by . and sometimes by .. (Levi, 1980a, ch.2; 1991b, ch.3.)

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The Ontological Foundations of Bolzano’s Philosophy of MathematicsThe basic notion of Bolzano’s ontological system is the part relation. Its domain embraces concrete substances, abstract objects, and collections; the converse domain contains collections only. Some collections are concrete entities existing in space and time, the rest are abstract sets.

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irreparable

Mathematical Reasoning and Pragmatism in PeirceIn Peirce’s theory of cognition, the pragmatic maxim is the means used by reflection to connect signs with objects. The pragmatic maxim, in a formulation of 1878, taken up again in 1905, reads: