Mathematics and Reality is popular PDF and ePub book, written by Mary Leng in 2010-04-22, it is a fantastic choice for those who relish reading online the Philosophy genre. Let's immerse ourselves in this engaging Philosophy book by exploring the summary and details provided below. Remember, Mathematics and Reality can be Read Online from any device for your convenience.
Mathematics and Reality Book PDF Summary
Mary Leng offers a defense 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 focussed on arguing that mathematical assumptions can be dispensed with in formulating our empirical theories. Leng, 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.
Detail Book of Mathematics and Reality PDF
- Author : Mary Leng
- Release : 22 April 2010
- Publisher : OUP Oxford
- ISBN : 9780191576249
- Genre : Philosophy
- Total Page : 288 pages
- Language : English
- PDF File Size : 10,6 Mb
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