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# Platonism And Anti Platonism In Mathematics Pdf

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- Platonism and Anti-Platonism in Mathematics
- Mathematical Pluralism and Platonism
- Philosophy of mathematics

*The paper proceeds by arguing that that the best versions of mathematical Platonism and anti-Platonism both entail the relevant sort of mathematical pluralism.*

The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and find out the place of mathematics in people's lives. The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts. The origin of mathematics is subject to arguments and disagreements. Whether the birth of mathematics was a random happening or induced by necessity during the development of other subjects, like physics, is still a matter of prolific debates.

Platonism, Mathematical [Internet. Wittgenstein, Ludwig: Later Philosophy of. Platonism in the Philosophy of Mathematics. In the rst chapters of the thesis I argue that there is a genuine epistemic. From a structural point of view - University of Iowa If these three premises are correct, it will follow that mathematical platonism undercuts our justification for believing in mathematics. But are the premises correct? What is Platonism?

Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. DOI: Leng and M. Leng , M. In this deft and vigorous book, Mark Balaguer demonstrates that there are no good arguments for or against mathematical platonism i. Balaguer does this by establishing that both platonism and anti-platonism are defensible positions.

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The system can't perform the operation now. Try again later. Citations per year. Duplicate citations. The following articles are merged in Scholar. Their combined citations are counted only for the first article. Merged citations.

Request Full-text Paper PDF Balaguer argues from the platonist's assumption that a mathematical theory (e.g., number theory) is about.

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John P. The Philosophical Review 1 January ; 1 : 79— Sign In or Create an Account. Advanced Search.

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