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Letter "I" » infinite number
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«If all it takes is an infinite number of monkeys with typewriters, how come AOL haven't written any Shakespeare yet?»
«The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in Deo, where I call it the Absolute Infinite or simply Absolute; second when it occurs in the contingent, created world; third when the mind grasps it in abstracto as a mathematical magnitude, number or order type.»
Author: Georg Cantor
| About:
Infinity,
Mathematics
| Keywords:
absolute magnitude, contingent, contingent on, grasps, infinite number, occurs, otherworldly
«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
«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
«To write regular verses destroys an infinite number of fine possibilities, but at the same time it suggests a multitude of distant and totally unexpected thoughts»
Author: Paul Valery
(Critic, Essayist, Poet)
| About:
Poetry,
Writing
| Keywords:
infinite number, Verses
«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
«Reason's last step is the recognition that there are an infinite number of things which are beyond it»
Author: Blaise Pascal
(Mathematician, Philosopher, Physicist)
| About:
Appreciation,
Reason
| Keywords:
infinite number, recognition
«Ford? There's an infinite number of monkeys outside who want to talk to us about this script for 'Hamlet' they've worked out»
«If we knew all the laws of Nature, we should need only one fact, or the description of one actual phenomenon, to infer all the particular results at that point. Now we know only a few laws, and our result is vitiated, not, of course, by any confusion or irregularity in Nature, but by our ignorance of essential elements in the calculation. Our notions of law and harmony are commonly confined to those instances which we detect; but the harmony which results from a far greater number of seemingly conflicting, but really concurring, laws, which we have not detected, is still more wonderful. The particular laws are as our points of view, as, to the traveler, a mountain outline varies with every step, and it has an infinite number of profiles, though absolutely but one form. Even when cleft or bored through it is not comprehended in its entireness.»
Author: Henry David Thoreau
(Essayist, Philosopher, Poet)
| Keywords:
calculation, cleaved, cleaving, cleft, clefts, comprehended, concur, concurred, concurring, concurs, confined, description, detect, detected, entireness, ignorance of the law, infer, inferred, infers, infinite number, instances, irregularity, Laws of nature, notions, one form, outline, outlines, phenomenon, points of view, profile, profiles, profiling, seemingly, The Traveler, traveler, view as, vitiated, vitiating
«Every true man is a cause, a country, and an age; requires infinite spaces and numbers and time fully to accomplish his design; - and posterity seem to follow his steps as a train of clients»
Author: Ralph Waldo Emerson
(Essayist, Lecturer, Poet)
| Keywords:
clients, infinite number, space age
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