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Georg Cantor Quotes

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A set is a Many that allows itself to be thought of as a One  (Georg Cantor Quotes) The essence of mathematics lies entirely in its freedom  (Georg Cantor Quotes) The essence of mathematics lies in its freedom  (Georg Cantor Quotes) My beautiful proof lies all in ruins  (Georg Cantor Quotes) To ask the right question is harder than to answer it  (Georg Cantor Quotes) The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us, and in its secondary transfinite forms occurs all around us and even inhabits our minds  (Georg Cantor Quotes) 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 Quotes)