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Single Idea 18190

[filed under theme 6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite ]

Full Idea

The line of development that finally led to a coherent foundation for the calculus also led to the explicit introduction of completed infinities: each real number is identified with an infinite collection of rationals.

Gist of Idea

Completed infinities resulted from giving foundations to calculus

Source

Penelope Maddy (Naturalism in Mathematics [1997], I.3)

Book Ref

Maddy,Penelope: 'Naturalism in Mathematics' [OUP 2000], p.51


A Reaction

Effectively, completed infinities just are the real numbers.