A Quote by Georg Cantor

The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers. — © Georg Cantor
The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers.
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.
What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could also call the supra-finite), that is an unbounded ascending lader of definite modes, which by their nature are not finite but infinite, but which just like the finite can be determined by well-defined and distinguishable numbers.
I put up O.K. numbers - not Bugs Bunny-style numbers like some other guys - but O.K. numbers.
That's all baseball is, is numbers; it's run by numbers, averages, percentage and odds. Managers make their decisions based on the numbers.
I dream in numbers, and I like to look up the meaning of numbers, and numbers stick out to me.
We're the generation that says 60 is the new 30. We don't let the numbers shape us; we're reshaping the numbers.
We live in a digital world where all is available at the touch of a screen. Money has been simplified, changed subtly over time from tangible bills to numbers in cyberspace. Cash is no longer in a cloth bag; it's numbers on a screen. Numbers that can be manipulated and modified. If you run out of numbers, you can just buy some more, right?
Round numbers beg to be negotiated, usually by counteroffer round numbers. Odd numbers sound harder, firmer, less negotiable.
I don't know why people don't want to talk about their numbers. I guess in a sense, there's a bit of performer nudity, a bit of ego nudity when you expose your numbers, I guess because someone's are higher or someone's are lower. I've never really talked about the numbers with anyone, so maybe I'm not supposed to.
It's a very, very tough market. So unless you do a really good job, you buy the right products from the manufacturers, you service the customer, they keep coming back, they bring their friends in, it's all about numbers, numbers, numbers.
She has given birth to vagabonds. She is the keeper of all these names and numbers now, numbers she once knew by heart, numbers and addresses her children no longer remember.
The seventeenth century witnessed the birth of modern science as we know it today. This science was something new, based on a direct confrontation of nature by experiment and observation. But there was another feature of the new science-a dependence on numbers, on real numbers of actual experience.
Many go through life afraid of numbers and upset by numbers. They would rather amble along through life miscounting, miscalculating and, in general, mismanaging their worldly affairs than make friends with numbers.
I like it when you buy something and pay with a credit card, they put your credit card on the receipt, but only the last four numbers. Aha! I'm really good at guessing twelve numbers. I can't guess 16 numbers, so thanks for the assistance!
We had a couple of films that, in the course of working on them, the budget shrank to the point where we couldn't make it. They literally ran the numbers: They took our numbers and the stars' numbers, and when they calculated whether we could make our money back or not, it said no.
I saw Mikhail Baryshnikov do Twyla Tharp's Sinatra Suite on PBS. I have no numbers to prove it, but I bet that kids who saw that loved it. I think you will see younger dancers, who certainly have the artistic sense and capabilities, start going back to romantic numbers.
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