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Philosophy of Mathematics and Philosophy of History
PARADIGMI, 2011If we suppose that the central activity of mathematicians is analysis, the search for the conditions of solvability of a problem (and more generally, a search for the conditions of intelligibility of the things that mathematics problems concern), then mathematical reasoning must concern narrative as well as argument.
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Truth and the Philosophy of Mathematics
2012Is truth – qua a primitive notion – fit to play an independent role in the philosophy of mathematics and in the foundational investigations? The problem is handled by surveying axiomatic theories of truth and their implications, with a main concern for ontological and epistemological issues.
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CONSCIOUSNESS, PHILOSOPHY, AND MATHEMATICS
1975Publisher Summary This chapter describes the importance of consciousness, philosophy, and mathematics. Consciousness in its deepest home seems to oscillate slowly, will-lessly, and reversibly between stillness and sensation. It seems that only the status of sensation allows the initial phenomenon of the said transition.
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Philosophy and mathematics: interactions.
Physis; rivista internazionale di storia della scienza, 2014From Plato to the beginnings of the last century, mathematics provided philosophers with methods of exposition, procedures of demonstration, and instruments of analysis. The unprecedented development of mathematics on the one hand, and the mathematicians' appropriation of Logic from the philosophers on the other hand, have given rise to two problems ...
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1964
We begin this chapter by recalling in a summary way what we have learnt about the Sun, Line and Cave similes in the preceding chapter. The Sun simile we might set out in an abbreviated form as follows:
R. C. Cross, A. D. Woozley
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We begin this chapter by recalling in a summary way what we have learnt about the Sun, Line and Cave similes in the preceding chapter. The Sun simile we might set out in an abbreviated form as follows:
R. C. Cross, A. D. Woozley
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1999
THE CLOSE CONNECTION BETWEEN mathematics and philosophy has long been recognized by practitioners of both disciplines. The apparent timelessness of mathematical truth, the exactness and objective nature of its concepts, its applicability to the phenomena of the empirical world—explicating such facts presents philosophy with some of its subtlest ...
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THE CLOSE CONNECTION BETWEEN mathematics and philosophy has long been recognized by practitioners of both disciplines. The apparent timelessness of mathematical truth, the exactness and objective nature of its concepts, its applicability to the phenomena of the empirical world—explicating such facts presents philosophy with some of its subtlest ...
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2008
One main interest of philosophy is to become clear about the assumptions, premises and inconsistencies of our thoughts and theories. And even for a formal language like mathematics it is controversial if consistency is achievable or necessary like the articles in the first part of the publication show.
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One main interest of philosophy is to become clear about the assumptions, premises and inconsistencies of our thoughts and theories. And even for a formal language like mathematics it is controversial if consistency is achievable or necessary like the articles in the first part of the publication show.
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Mathematical Philosophy and Philosophy of Mathematics
The American Mathematical Monthly, 1920Cassius J. Keyser, Bertrand Russell
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1973
We have already commented on the formative role the study of mathematics, particulary arithmetic and algebra, played in the development of Berkeley’s theory of signs. Mathematics modeled, in his view, some of the crucial aspects of all language. Three elements of this paradigmatic function are, we believe, worth noting, (a) Mathematics reveals more ...
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We have already commented on the formative role the study of mathematics, particulary arithmetic and algebra, played in the development of Berkeley’s theory of signs. Mathematics modeled, in his view, some of the crucial aspects of all language. Three elements of this paradigmatic function are, we believe, worth noting, (a) Mathematics reveals more ...
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Green EMI shielding: Dielectric/magnetic “genes” and design philosophy
Carbon, 2023, Mao-Sheng Cao
exaly