Transfinite Numbers Quotes & Sayings

America's doctors, nurses and medical researchers are the best in the world, but our health care system is broken. — Mike Ferguson

People aren't born sad; we make them that way. — Nikita Gill

Romance never does go out of fashion. It's radical. But it's out of step with the current media culture. — Bob Dylan

I have always appreciated the honest brutality of the international film world. One need never doubt one's worth in the market. Mine was zero. — Ingmar Bergman

Opinions are like a**holes, everyone has one and they are usually full of sh*t! — Habeeb Akande

I have had much to learn from Sweden's poetry and, more especially, from her lyrics of the last generation. — Knut Hamsun

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. — Georg Cantor

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

Without poets, without artists, men would soon weary of nature's monotony. The sublime idea men have of the universe would collapse with dizzying speed. The order which we find in nature, and which is only an effect of art, would at once vanish. Everything would break up in chaos. There would be no seasons, no civilization, no thought, no humanity; even life would give way, and the impotent void would reign everywhere. — Guillaume Apollinaire

I've had a good life, and was born to and among people I've admired and loved. — Wendell Berry

Such a man has some right to fish, and I love to see nature carried out in him. — Henry David Thoreau

The reform of state industry, and most directly related to that, the banking sector, is enormously daunting. — William Kirby

I think that Vancouver as well as Canada needs a boot camp for young entrepreneurs. We have already seen tens if not hundreds of people put their names forward to be involved in the program, and we just think this is an amazing way to accelerate what they're doing. — Ryan Holmes

If a man is worth loving at all, he is worth loving generously, even recklessly. — Marie Dressler

When you get right down to it," the vet said, "most people are no damn good. — Don J. Donaldson

If you object (as some of us did to Dr. Goris) that Cantor's transfinite numbers aren't really numbers at all but rather sets, then be apprised that what, say, 'P(Infinity to the Infinity +n), really is is a symbol for the number of members in a given set, the same way '3' is a symbol for the number of members in the set {1,2,3}. And since the transfinites are provably distinct and compose an infinite ordered sequence just like the integers,they really are numbers, symbolizable (for now) by Cantor's well-known system of alephs or '(Aleph symbol's). And, as true numbers, transfinites turn out to be susceptible to the same kinds of arithmetical relations and operations as regular numbers-although, just as with 0, the rules for these operations are very different in the case of (Alephs) and have to be independently established and proved. — David Foster Wallace

Every transfinite consistent multiplicity, that is, every transfinite set, must have a definite aleph as its cardinal number. — Georg Cantor

Capital trickles away from dictatorial states that fail to defend private individuals and their property. Instead, it flows into states upholding the rule of law and private property. — Yuval Noah Harari

Whatever their origin, the human race was fortunate to have seen such a wonder; it could exist for only a brief moment of time in the history of the Solar System. — Arthur C. Clarke

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