Sentence examples for foundation of arithmetic from inspiring English sources

Some time later, in June 1902, he communicated the "contradiction" to Gottlob Frege, who was completing his own logical foundation of arithmetic, in a well-known letter.

In this work, Husserl combined his mathematical, psychological and philosophical competencies to attempt a psychological foundation of arithmetic (see Willard 1984, pp. 38 118; Bell 1990, pp. 31 84).

Hilbert provided such an axiomatization in (1900b), but it became clear very quickly that the consistency of analysis faced significant difficulties, in particular because the favored way of providing a foundation for analysis in Dedekind's work relied on dubious assumptions akin to to those that lead to the paradoxes of set theory and Russell's Paradox in Frege's foundation of arithmetic.

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).

Frege, The Foundations of Arithmetic, Northwestern University Press.

Week 8: Frege's The Foundations of Arithmetic.

Week 9: Frege's The Foundations of Arithmetic.

Week 10: Frege's The Foundations of Arithmetic.

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

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.

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