Cantor also used the inconsistent multiplicity of the ordinal numbers to "prove" his Aleph Theorem, which is equivalent to the Well-Ordering Theorem: all sets can be well-ordered.
Cantor also used the inconsistent multiplicity of the ordinal numbers to "prove" his Aleph Theorem, which states that every infinite cardinal is an aleph number. This theorem is equivalent to the Well-Ordering Theorem: all sets can be well-ordered.