Sentence examples for the treatment of arithmetic from inspiring English sources

The treatment of arithmetic in Book IV takes the form of a commentary on Nicomachus' Introduction to Arithmetic.

In addition to its detailed treatment of arithmetic on the abacus, it provided a summa of mathematical knowledge assembled by the author after 20 years of bibliographic research.

Some might suppose that this is a reference to a rigorous treatment of arithmetic, such as that hypothesized by Becker (1936), who argued that Euclid IX. 21 34 was a self-contained unit that represented a deductive theory of odd and even numbers developed by the Pythagoreans (see Mueller 1997, 296 ff. and Burkert 1972a, 434 ff).

I wrote this work when I was a very young man, imitating some of the recent mathematicians who gave a general treatment of the principles of arithmetic and geometry in a common universal mathematics.

Finally, Dedekind uses the same kinds of techniques in his other mathematical work as well (in his treatment of modular arithmetic, also in his construction of ideals as infinite sets, to be discussed more below, etc).

The basic postulates of arithmetic contain the induction axiom.

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.

The Philosophy of Arithmetic: Frege and Husserl R. Tieszen.