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George Gamow

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There was a young fellow from Trinity,
Who took the square root of infinity.
But the number of digits, Gave him the fidgets;
He dropped Math and took up Divinity.
--
One, Two, Three... Infinity (1947)

 
George Gamow

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Ten is the very nature of number. All Greeks and all barbarians alike count up to ten, and having reached ten revert again to the unity. And again, Pythagoras maintains, the power of the number 10 lies in the number 4, the tetrad. This is the reason: if one starts at the unit (1) and adds the successive number up to 4, one will make up the number 10 (1+2+3+4 = 10). And if one exceeds the tetrad, one will exceed 10 too.... So that the number by the unit resides in the number 10, but potentially in the number 4. And so the Pythagoreans used to invoke the Tetrad as their most binding oath: "By him that gave to our generation the Tetractys, which contains the fount and root of eternal nature..."

 
Pythagoras
 

At the end of the day, we are so many digits in the machine. The point is – are these digits stronger than the competitors' digits?

 
Lee Kuan Yew
 

Maybe we have become so hung up on looking at the primes from Gauss's and Riemann's perspective that what we are missing is simply a different way to understand these enigmatic numbers. Gauss gave an estimate for the number of primes, Riemann predicted that the guess is at worst the square root of N off its mark, Littlewood showed that you can't do better than this. Maybe there is an alternative viewpoint that no one has found because we have become so culturally attached to the house that Gauss built.

 
Carl Friedrich Gauss
 

No one really believes in an eternal existence after death. The mind staggers before the concept of infinity in either time or space. Even the Hindus, who have calculated that the present age will end precisely, in terms of our calendar, on 17 February 428,898, when the universe (with all its gods except the Trinity) will perish in a cosmic conflagration, believe that the senior member of the Trinity, Brahman, will create another universe and yet another in a process that will continue for another 311,035,680,000,000 years, after which, they modestly admit, they do not know exactly what will happen, except that the creative force itself cannot perish with the total destruction of all things, including the supreme gods. Even they draw back before the horror of infinity!

 
Revilo P. Oliver
 

Think of Adam and Eve like an imaginary number, like the square root of minus one: you can never see any concrete proof that it exists, but if you include it in your equations, you can calculate all manner of things that couldn’t be imagined without it.

 
Philip Pullman
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