A Quote by William Batchelder Greene
Without doubt, matter is unlimited in extent, and, in this sense, infinite; and the forces of Nature mould it into an innumerable number of worlds. Would it be at all astonishing if, from the universal dice-box, out of an innumberable number of throws, there should be thrown out one world infinitely perfect? Nay, does not the calculus of probabilities prove to us that one such world out of an infinite number, must be produced of necessity?
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There are infinite worlds both like and unlike this world of ours. For the atoms being infinite in number... are borne on far out into space.
Undoubtedly to some, the idea of giving so much love to self will seem very cold, hard and unmerciful. Still this matter may be seen in a different light, when we find that 'looking out for number one,' as directed by the infinite, is really looking out for number two and is indeed the only way to permanently benefit number two.
There is no longer a single idea explaining everything, but an infinite number of essences giving a meaning to an infinite number of objects. The world comes to a stop, but also lights up.
The mind of man has perplexed itself with many hard questions. Is space infinite, and in what sense? Is the material world infinite in extent, and are all places within that extent equally full of matter? Do atoms exist or is matter infinitely divisible?
This is a work of fiction. Still, given an infinite number of possible worlds, it must be true on one of them. And if a story set in an infinite number of possible worlds is true in one of them, then it must be true in all of them. So maybe, it's not as fictional as we think.
It is known that there are an infinite 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. Therefore, there must be a finite number of inhabited worlds. Any finite number divided by infinity is as near to 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 the products of a deranged imagination.
First, I think it proper to express my unshaken opinion of the immortality of my soul or mind; and to dedicate and devote the same to the supreme head of the Universe - to that great and tremendous Jehovah, - Who created the universal frame of nature, worlds, and systems in number infinite . . . To this awfully sublime Being do I resign my spirit with unlimited confidence of His mercy and protection . . .
The Axiom of Choice is necessary to select a set from an infinite number of socks, but not an infinite number of shoes.
Far be it from us to doubt that all number is known to Him 'Whose understanding is infinite' (Ps. 147:5). The infinity of number, though there be no numbering of infinite numbers, is yet not incomprehensible by Him Whose understanding is infinite. And thus, if everything which is comprehended is defined or made finite by the comprehension of him who knows it, then all infinity is in some ineffable way made finite to God, for it is comprehensible by His knowledge.
Many people believe that the grains of sand are infinite in multitude ... Others think that although their number is not without limit, no number can ever be named which will be greater than the number of grains of sand. But I shall try to prove to you that among the numbers which I have named there are those which exceed the number of grains in a heap of sand the size not only of the earth, but even of the universe
We know that there is an infinite, and we know not its nature. As we know it to be false that numbers are finite, it is therefore true that there is a numerical infinity. But we know not of what kind; it is untrue that it is even, untrue that it is odd; for the addition of a unit does not change its nature; yet it is a number, and every number is odd or even (this certainly holds of every finite number). Thus we may quite well know that there is a God without knowing what He is.
Name me the final number, the highest, the greatest. But that's absurd! If the number of numbers is infinite, how can there be a final number? Then how can you speak of a final revolution? There is no final one. Revolutions are infinite.
There is no doubt that we cannot do without variable quantities in the sense of the potential infinite. But from this very fact the necessity of the actual infinite can be demonstrated.
Renormalization is just a stop-gap procedure. There must be some fundamental change in our ideas, probably a change just as fundamental as the passage from Bohr's orbit theory to quantum mechanics. When you get a number turning out to be infinite which ought to be finite, you should admit that there is something wrong with your equations, and not hope that you can get a good theory just by doctoring up that number.
To walk into a modern-day bookstore is a little bit like studying a single photograph out of the infinite number of photographs that cold be taken of the world: It offers the reader a frame.
Revolution is everywhere, in everything. It is infinite. There is no final revolution, no final number. The social revolution is only one of an infinite number of numbers: the law of revolution is not a social law, but an immeasurably greater one. It is a cosmic, universal law - like the laws of the conservation of energy and of the dissipation of energy (entropy).
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