Georg Cantor Quotes About Irrational Numbers

• The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers.

  →

  Georg Cantor

  Fall   Irrational Numbers   Mathematics  

  3323

• 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.

  →

  Georg Cantor

  Fall   Numbers   Finite Number  

  "Understanding the Infinite". Book by Shaughan Lavine, 1994.

  4326

You May Also Like:

Bernard Bolzano

Leonhard Euler

Evariste Galois

Richard Dedekind

Karl Weierstrass

Gottlob Frege

George Boole

Archimedes