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Single Idea 10101

[from 'Philosophies of Mathematics' by A.George / D.J.Velleman, in 4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST ]

Full Idea

The 'Cartesian Product' of any two sets A and B is the set of all ordered pairs <a, b> in which a ∈ A and b ∈ B, and it is denoted as A x B.

Gist of Idea

Cartesian Product A x B: the set of all ordered pairs in which a∈A and b∈B

Source

A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.3)

Book Reference

George,A/Velleman D.J.: 'Philosophies of Mathematics' [Blackwell 2002], p.56

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