more from Shaughan Lavine

### Single Idea 15918

#### [catalogued under 6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity]

Full Idea

The paradox of the largest cardinal ('Cantor's Paradox') says the diagonal argument shows there is no largest cardinal, but the class of all individuals (including the classes) must be the largest cardinal number.

Gist of Idea

Paradox: there is no largest cardinal, but the class of everything seems to be the largest

Source

Shaughan Lavine (Understanding the Infinite [1994], III.5)

Book Reference

Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.62

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