more from George Cantor

### Single Idea 8733

#### [catalogued under 6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis]

Full Idea

Cantor's 'continuum hypothesis' is the assertion that there are no infinite cardinalities strictly between the size of the natural numbers and the size of the real numbers.

Gist of Idea

The Continuum Hypothesis says there are no sets between the natural numbers and reals

Source

report of George Cantor (works [1880]) by Stewart Shapiro - Thinking About Mathematics 2.4

Book Reference

Shapiro,Stewart: 'Thinking About Mathematics' [OUP 2000], p.42

A Reaction

The tricky question is whether this hypothesis can be proved.