Single Idea 11015

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

Full Idea

Cantor's diagonal argument showed that all the infinite decimals between 0 and 1 cannot be written down even in a single never-ending list.

Gist of Idea

Cantor's diagonal argument proved you can't list all decimal numbers between 0 and 1

Source

report of George Cantor (works [1880]) by Stephen Read - Thinking About Logic Ch.6

Book Reference

Read,Stephen: 'Thinking About Logic' [OUP 1995], p.163

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