Transfinite Definition

Transfinite Sentence Examples

• Cantor held that these transfinite numbers had an actual existence, drawing on his early religious training to justify the assertion.

• His proof of the well ordering property used the axiom of choice to construct sets by transfinite induction.

• Our ability to think about transfinite ordinals is one of the things to be explained.

• Recall that " addition " for transfinite cardinals is defined in terms of set union.

• When the imaginary transfinite mathematics of the actual infinite is translated into real finite terms, the results are nonsensical.