I know the largest prime, but you've probably never heard of it.
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Anonymous2012-10-20 14:07
ONE WORD: THE FORCED FINITIZATION OF MATHEMATICS, THREAD OVER.
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Anonymous2012-10-20 14:46
>>8
It depends on the domain in which the numbers are being used. Infinity is bullshit spewed by idiots who are of a long line of idiots who go all the way back to the mathematical realism told by the pederast Plato. There is no unifying property of math that are true in every domain, much less a universal property that can be used to stretch forever like you retards believe. If you are working on a 32 bit computer architecture, then the highest number is 2^32. If you are using software to represent them, then the highest number is the highest number you can get without running out of memory. If you are doing physics, then the highest temperature is that which can be reached before the matter is reduced to pure energy. Even if you could keep heating it, you would run out of energy in the universe and that would be the highest number. Also in physics, the highest speed is the speed of light. It makes no sense to say 'infinite speed' because the universe would break down.
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Anonymous2012-10-20 14:50
66The obvious mathematical breakthrough would be the development of an easy way to factor large prime numbers99[1]
_____________________________________ [1] - (Gates, The Road Ahead, 1995, p. 265).
>>16
Z can be used to analyze Z/(2^32)Z. The lack of bounds actually make things simpler. Then theorems that hold for Z can be brought down to Z/(2^32)Z in various ways, and visa versa. There is a bridge between the two.
>>20
ey has a point. Sometimes the model breaks down. But the solution is to just use an appropriate model and argue for its relevance. Then make sure all statements on the model will hold given its restrictions.
Sure, ultrafinitism is retarded, but is it Abelson retarded?
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Anonymous2012-10-20 16:30
Suppose the number of primes is finite: p1, p2, ..., pk, and let n be the product of all these primes. n - 1 > pk so is not prime, so there is some i such that pi divides n - 1. Since pi also divides n, pi divides n - (n - 1) = 1, which is absurd. Thus the number of primes is infinite. http://www.hermetic.ch/pns/proof.htm
You're saying everything has a lower and upper bound.
Yukari could remove the bounds, making something effectively infinite. Thus, Yukari is a Jew.
Terrible!
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Anonymous2012-10-20 18:55
>>16
It should be easy for you to tell us the biggest number, since we live in a finite world and it's absolutely true that we will never need a number greater than the biggest number you're about to tell us.
So somewhere on the web, illegal stuff like CP is probably being shared openly just by posting numbers, right?
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Anonymous2012-10-20 19:34
>>34
Would you believe me if I told you that all data can be represented as a string of numbers?
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Anonymous2012-10-20 19:35
wait what the fuck
microsoft excel, for instance, can be represented by one single big ass number?
what's 4chan's number?
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Anonymous2012-10-20 19:37
>>35
Not without blowing my mind... does that mean that life itself can be boiled down to numbers? When I walk down the street to the store, are there numbers behind each step? Behind each breath I take? Shit's crazy.
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Anonymous2012-10-20 19:37
>>33 But as the sum of what we all know and agree, the wisdom of crowds has no greater value than Trivial Pursuit. Wikipedia is full of mistakes, half truths and misunderstandings.
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Anonymous2012-10-20 19:47
So if an image can be represented by a number, does that mean there are certain functions behind some images?
If I posted an image, how would you find it's numerical representation?