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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Philosophy of Mathematics: Set Theory, Measuring Theories, and Nominalism

Philosophy of Mathematics: Set Theory, Measuring Theories, and Nominalism

Preyer, Gerhard
Peter, Georg

Hardcover

Series: Logos, Book 13

PhilosophyGeneral MathematicsLogic

ISBN10: 3110323095
ISBN13: 9783110323092
Publisher: De Gruyter
Published: Aug 20 2008
Pages: 184
Weight: 1.12
Height: 0.63 Width: 6.00 Depth: 9.00
Language: English

One main interest of philosophy is to become clear about the assumptions, premisses and inconsistencies of our thoughts and theories. And even for a formal language like mathematics it is controversial if consistency is acheivable or necessary like the articles in the firt part of the publication show. Also the role of formal derivations, the role of the concept of apriority, and the intuitions of mathematical principles and properties need to be discussed. The second part is a contribution on nominalistic and platonistic views in mathematics, like the indispensability argument of W. v. O. Quine H. Putnam and the makes no difference argument of A. Baker. Not only in retrospect, the third part shows the problems of Mill, Frege's and the unity of mathematics and Descartes's contradictional conception of mathematical essences. Together, these articles give us a hint into the relationship between mathematics and world, that is, one of the central problems in philosophy of mathematics and philosophy of science.

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