Transfinite sentence example

transfinite
  • Cantor held that these transfinite numbers had an actual existence, drawing on his early religious training to justify the assertion.
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  • His proof of the well ordering property used the axiom of choice to construct sets by transfinite induction.
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  • Our ability to think about transfinite ordinals is one of the things to be explained.
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  • Recall that " addition " for transfinite cardinals is defined in terms of set union.
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  • When the imaginary transfinite mathematics of the actual infinite is translated into real finite terms, the results are nonsensical.
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  • Finally, we extend the theory of needed reduction from the finite to the transfinite case.
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