Single Idea 15711

[catalogued under 6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers]

Full Idea

The rationals are everywhere - the irrationals are everywhere else.

Gist of Idea

The rationals are everywhere - the irrationals are everywhere else

Source

R Kaplan / E Kaplan (The Art of the Infinite [2003], 1 'Nameless')

Book Reference

Kaplan,R and Kaplan,E: 'The Art of the Infinite' [Penguin 2004], p.24

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A Reaction

Nice. That is, the rationals may be dense (you can always find another one in any gap), but the irrationals are continuous (no gaps).