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«The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining the finite irrational numbers is wholly disimilar to, and I might even say in priciple the same as, my method described above of introducing trasfinite numbers. One can say unconditionally: the transfinite numbers stand or fall with the finite irrational numbers; they are like each other in their innermost being; for the former like the latter are definite delimited forms or modifications of the actual infinite.»
Author: Georg Cantor
| About:
Infinity,
Mathematics
| Keywords:
delimited, finite, Finite number, infinite number, introducing, irrational, modification, modifications, unconditionally
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