more from Bertrand Russell

Single Idea 14441

[catalogued under 6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic]

Full Idea

The usual formal laws of arithmetic are the Commutative Law [a+b=b+a and axb=bxa], the Associative Law [(a+b)+c=a+(b+c) and (axb)xc=ax(bxc)], and the Distributive Law [a(b+c)=ab+ac)].

Gist of Idea

The formal laws of arithmetic are the Commutative, the Associative and the Distributive

Source

Bertrand Russell (Introduction to Mathematical Philosophy [1919], IX)

Book Reference

Russell,Bertrand: 'Introduction to Mathematical Philosophy' [George Allen and Unwin 1975], p.94