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Quotations
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Finite number
«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.»
Author: Georg Cantor
| About:
Infinity,
Mathematics
| Keywords:
ascending, ascends, assert, asserts, defined, definite, demonstrated, distinguishable, earlier, finite, Finite number, following, infinite number, modes, numbers, supra, unbounded, well-defined
«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
«I believe that the Good Lord gave us a finite number of heartbeats and I'm damned if I'm going to use up mine running up and down a street.»
Author: Neil Armstrong
(Astronaut)
| Keywords:
finite, Finite number, give a damn, Good Lord, heartbeat, heartbeats, up and down, use up
«It is known that there are an infinte number of worlds, simply because there is an infinite amount of space for them to be in. However, not every one of them is inhabited. Any finite number divided by infinity is as near nothing as makes no odds, so the average population of all the planets in the Universe can be said to be zero. From this it follows that the population of the whole Universe is also zero, and that any people you may meet from time to time are merely products of a deranged imagination.»
Author: Douglas Adams
(Writer)
| Keywords:
amount, another planet, at odds, average, deranged, deranging, divided, divided by, divided up, finite, Finite number, follows, from time to time, From Zero, however, infinite, infinite number, Infinities, infinity, inhabited, inhabits, known, near, number, odds, one of them, our planet, planets, population, populations, products, space, The Planets, the universe, whole number, worlds, zero, zeros
«Beyond a critical point within a finite space, freedom diminishes as numbers increase. . . . the human question is not how many can possibly survive within the system, but what kind of existence is possible for those who do survive.»
Author: Frank Herbert
(Author, Writer)
| Keywords:
beyond question, critical, critical point, diminishes, finite, Finite number, numbers, the system
«Even the standard example of ancient nonsense - the debate about angels on pinheads - makes sense once you realize that theologians were not discussing whether five or eighteen would fit, but whether a pin could house a finite or an infinite number»
Author: Stephen Jay Gould
| Keywords:
debate, discussing, eighteen, finite, Finite number, infinite number, nonsense, pin, theologian, theologians, The Standard
