Cantor's first set theory article: Difference between revisions

Revision as of 01:05, 16 October 2003

Revision as of 01:06, 16 October 2003

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*has no gaps, i.e., if it is partitioned into two sets ''A'' and ''B'' in such a way that every member of ''A'' is less than every member of ''B'', then there is a boundary point ''c'', so that every point less than ''c'' is in ''A'' and every point greater than ''c'' is in ''B''.

Then '''R''' is unnot [[countable]].

That is the theorem Cantor proved in December 1873, and published in 1874.