Results 251 to 260 of about 166,295,661 (288)

The Philosophy of Mathematical Practice

International Studies in the Philosophy of Science, 2010
Paolo Mancosu (Ed.) Oxford, Oxford University Press, 2008 xi + 447 pp., ISBN 9780199296453, £53.00, US$100 (hardback) From the end of the nineteenth century to this day, philosophers of mathematics...
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Meinongianism and the Philosophy of Mathematics†

Philosophia Mathematica, 2003
This paper presents the view of Richard Routley (later Sylvan) that mathematical objects are non-existent. [Cf. \textit{R. Routley}, Exploring Meinong's jungle -- and beyond. Canberra: Philosophy RSSS, Australian National University (1980), Chapter 10 of which is reprinted as: \textit{R.
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Wittgenstein’s Philosophies of Mathematics

Synthese, 1991
Wittgenstein's philosophy of mathematics has long been notorious. Part of the problem is that it has not been recognized that Wittgenstein, in fact, had two chief post-Tractatus conceptions of mathematics. I have labelled these the calculus conception and the language-game conception. The calculus conception forms a distinct middle period.
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CONSCIOUSNESS, PHILOSOPHY, AND MATHEMATICS

1975
Publisher 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 of Mathematics and Philosophy of History

PARADIGMI, 2011
If 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

2012
Is 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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Structuralism as a philosophy of mathematical practice

Synthese, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fictionalism in the philosophy of mathematics

2012
Fictionalism in the philosophy of mathematics is the view that mathematical statements, such as ‘8+5=13’ and ‘∏ is irrational’, are to be interpreted at face value and, thus interpreted, are false. Fictionalists are typically driven to reject the truth of such mathematical statements because these statements imply the existence of mathematical entities,
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Mathematics in Philosophy, Philosophy in Mathematics: Three Case Studies

2016
The interaction between philosophy and mathematics has a long and well articulated history. The purpose of this note is to sketch three historical case studies that highlight and further illustrate some details concerning the relationship between the two: the interplay between mathematical and philosophical methods in ancient Greek thought; vagueness ...
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Philosophy and mathematics: interactions.

Physis; rivista internazionale di storia della scienza, 2014
From 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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