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.

Finally, we extend the theory of needed reduction from the finite to the transfinite case.