Philosophy of Mathematics

Set Theory, Measuring Theories, and Nominalism
1. Auflage 2008
ISBN: 978-3-11-032309-2
Verlag: De Gruyter

Buch, Englisch, Band 13, 184 Seiten, HC runder Rücken kaschiert, Format (B × H): 153 mm x 216 mm, Gewicht: 358 g

Reihe: ISSN

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.

Autoren/Hrsg.

Peter, Georg

Preyer, Gerhard

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik