Sentence examples for the foundations of arithmetic from inspiring English sources

Although explicit discussion of ontological commitment postdates Frege's writings, an account of ontological commitment can be garnered from his defense of arithmetical platonism in The Foundations of Arithmetic (Frege 1884).

Week 8: Frege's The Foundations of Arithmetic.

Week 9: Frege's The Foundations of Arithmetic.

Week 10: Frege's The Foundations of Arithmetic.

Frege, The Foundations of Arithmetic, Northwestern University Press.

One way was given by Frege in Die Grundlagen der Arithmetik (1884; The Foundations of Arithmetic).

Before the 19th century, analysis rested on makeshift foundations of arithmetic and geometry, supporting the discrete and continuous sides of the subject, respectively.

For details, the reader may consult the entry on Frege's Theorem and Foundations of Arithmetic.

We will not discuss the details here, but a detailed presentation of the argument can be found in the entry on Frege's theorem and foundations of arithmetic as well as (Rosen 1993), which gives a clear and readable presentation of the main argument of (Wright 1983), which in turn is partially responsible for a revival of Fregean ideas along these lines.

Dr. Ma's most shocking conclusion is that most American schools don't teach mathematical foundations of arithmetic because teachers themselves weren't taught those principles.

It is well known that Frege in his Foundations of Arithmetic claimed to reduce arithmetic to logic.