# eBook Platonism and Anti-Platonism in Mathematics download

## by Mark Balaguer

**ISBN:**0195143981

**Author:**Mark Balaguer

**Publisher:**Oxford University Press (July 19, 2001)

**Language:**English

**Pages:**240

**ePub:**1422 kb

**Fb2:**1719 kb

**Rating:**4.7

**Other formats:**lit mbr lit txt

**Category:**Math Sciences

**Subcategory:**Mathematics

Balaguer presents forceful arguments for the viability of both FBP and fictionalism, and against the feasibility of any substantially different Platonist or anti-Platonist position. an admirable achievement. -The Bulletin of Symbolic Logic. Start reading Platonism and Anti-Platonism in Mathematics on your Kindle in under a minute.

Balaguer does this by establishing that both platonism and anti-platonism are justifiable views

Balaguer does this by establishing that both platonism and anti-platonism are justifiable views. Introducing a form of platonism, called "full-blooded platonism," that solves all problems traditionally associated with the view, he proceeds to defend anti-platonism (in particular, mathematical fictionalism) against various attacks-most notably the Quine-Putnam indispensability attack.

In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible views. Introducing a form of platonism ("full-blooded platonism") that solves all problems traditionally associated with the view, he proceeds to defend anti-platonism (in particular, mathematical fictionalism) against various attacks, most notably the Quine-Putnam indispensability attack.

Mark Balaguer’s project in this book is extremely ambitious; he sets out to defend both platonism and ctionalism about mathematical enti-ties. Moreover, Balaguer argues that at the end of the day, platonism and ctionalism are on an equal footing. Not content to leave the matter there, however, he advances the anti-metaphysical conclusion that there is no fact of the matter about the existence of mathematical objects. Despite the ambitious nature of this project, for the most part Bala-guer does not shortchange the reader on rigor; all the main theses ad-vanced are argued for at length and.

Start by marking Platonism and Anti-Platonism in Mathematics as Want to Read .

Start by marking Platonism and Anti-Platonism in Mathematics as Want to Read: Want to Read savin. ant to Read. In this deft and vigorous book, Mark Balaguer demonstrates that there are no good arguments for or against mathematical platonism (i. the view that abstract, or non-spatio-temporal, mathematical objects exist, and that mathematical theories are descriptions of such objects).

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. In Part I, he shows that the former is defensible by introducing a novel version of platonism, which he calls full-blooded platonism, or FBP.

In this deft and vigorous book, Mark Balaguer demonstrates that there are no good arguments for or against mathematical platonism (.

December 2002 · Bulletin of Symbolic Logic.

Certain popular tenets about ontology lead to an unpleasant dilemma for the straightforward assessment of scientific theory. The problem stems from theory pairs which are formally equivalent in the sense of interdefinability yet possess different ontologies by current reckoning. A standard illustration 1 of this situation in this: let M1 be a theory of mechanics employing mass points as basic objects and let M~ be similar yet with only extended objects as its primitive elements. December 2002 · Bulletin of Symbolic Logic.