Bending reality? or how reality manages to bend US? #Mathematics #Discrete Math Class

20 Apr

So I’m doing actual research at the actual library… and I found THIS!

Mathematics and Reality : Mathematics and Reality Oxford Scholarship Online.

Bending reality? or how reality manages to bend US? #Mathematics

Bending reality? or how reality manages to bend US? #Mathematics

Mathematics and Reality

Mary Leng

Abstract

This book offers a defence of mathematical fictionalism, according to which we have no reason to believe that there are any mathematical objects.

Perhaps the most pressing challenge to mathematical fictionalism is the indispensability argument for the truth of our mathematical theories (and therefore for the existence of the mathematical objects posited by those theories).

According to this argument, if we have reason to believe anything, we have reason to believe that the claims of our best empirical theories are (at least approximately) true.

But since claims whose truth would require the existence of mathematical objects are indispensable in formulating our best empirical theories, it follows that we have good reason to believe in the mathematical objects posited by those mathematical theories used in empirical science, and therefore to believe that the mathematical theories utilized in empirical science are true.

Previous responses to the indispensability argument have focused on arguing that mathematical assumptions can be dispensed with in formulating our empirical theories.

This book, by contrast, offers an account of the role of mathematics in empirical science according to which the successful use of mathematics in formulating our empirical theories need not rely on the truth of the mathematics utilized.

Neat!

Keywords: mathematics, philosophy, realism, fictionalism, naturalism, indispensability, science, ontology, objects, truth

Bibliographic Information

Print publication date: 2010 Print ISBN-13: 9780199280797
Published to Oxford Scholarship Online: May 2010 DOI:10.1093/acprof:oso/9780199280797.001.0001
Advertisements
%d bloggers like this: