Online Library TheLib.net » Philosophy of Mathematics: Set Theory, Measuring Theories, and Nominalism
cover of the book Philosophy of Mathematics: Set Theory, Measuring Theories, and Nominalism

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

00
01.03.2024
0
0

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.

Download the book Philosophy of Mathematics: Set Theory, Measuring Theories, and Nominalism for free or read online
Read Download
Continue reading on any device:
QR code
Last viewed books
Related books
Comments (0)
reload, if the code cannot be seen