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In any race between human numbers and natural resources, time is against us.
--
Chapter 12 (p. 113)

 

Aldous Huxley

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My reluctance to use alien invasion is due to the feeling that we are not likely to be invaded and taken over. It would seem to me that by the time a race has achieved deep space capability it would have matured to a point where it would have no thought of dominating another intelligent species. Further than this, there should be no economic necessity of its doing so. By the time it was able to go into deep space, it must have arrived at an energy source which would not be based on planetary natural resources.

 

Clifford D. Simak

 

Mr. Khrushchev says that Communism, the police state, will bury the free ones. He is a smart gentleman, he knows that this is nonsense since freedom, man's dim concept of and belief in the human spirit is the cause of all his troubles in his own country. But if he means that Communism will bury capitalism, he is correct. That funeral will occur about ten minutes after the police bury gambling. Because simple man, the human race, will bury both of them. That will be when we have expended the last grain, dram, and iota of our natural resources. But man himself will not be in that grave. The last sound on the worthless earth will be two human beings trying to launch a homemade spaceship and already quarreling about where they are going next.

 

William Faulkner

 

This is the great day. This is the greatest event in all the history of the human race, up to this time. That is — today is New Year's Day of the Year One. If we don't change the calendar, historians will do so. The human race — this is our change, our puberty rite, bar mitzvah, confirmation, from the change of our infancy into adulthood for the human race. And we're going to go on out, not only to the Moon, to the stars; we're going to spread. I don't know that the United States is going to do it; I hope so. I have — I'm an American myself; I want it to be done by us. But in any case, the human race is going to do it, it's utterly inevitable: we're going to spread through the entire universe.

 

Robert A. Heinlein

 

These primitive propositions ... suffice to deduce all the properties of the numbers that we shall meet in the sequel. There is, however, an infinity of systems which satisfy the five primitive propositions. ... All systems which satisfy the five primitive propositions are in one-to-one correspondence with the natural numbers. The natural numbers are what one obtains by abstraction from all these systems; in other words, the natural numbers are the system which has all the properties and only those properties listed in the five primitive propositions

 

Giuseppe Peano

 

Space can be mapped and crossed and occupied without definable limit; but it can never be conquered. When our race has reached its ultimate achievements, and the stars themselves are scattered no more widely than the seed of Adam, even then we shall still be like ants crawling on the face of the Earth. The ants have covered the world, but have they conquered it — for what do their countless colonies know of it, or of each other?
So it will be with us as we spread out from Earth, loosening the bonds of kinship and understanding, hearing faint and belated rumors at second — or third — or thousandth hand of an ever dwindling fraction of the entire human race. Though the Earth will try to keep in touch with her children, in the end all the efforts of her archivists and historians will be defeated by time and distance, and the sheer bulk of material. For the numbers of distinct human societies or nations, when our race is twice its present age, may be far greater than the total number of all the men who have ever lived up to the present time.
We have left the realm of comprehension in our vain effort to grasp the scale of the universe; so it must ever be, sooner rather than later.

 

Arthur C. Clarke