Real infinite compression

0.Forget pigeonhole principle. Acquire pigeons.
1.Gather 256 different hashing algorithms with low collision rates.
2.hash 256 hashes of a file. save this+length to a file.
3.To decompress,generate all files of this size(with quantum computing it should be easier, imho) and check their 256 hashes.
4.if all hashes match, you got the original.
5.Since the chance of all 256 different algorithms having a collision is close to zero, the file must be the original.
6.Infinite pigeons. http://www.youtube.com/watch?v=n84sZIN4lv8

http://en.wikipedia.org/wiki/Martingale_%28betting_system%29

Infinite compression is Jewish.

5.Since the chance of all 256 different algorithms having a collision is close to zero
How many algorithms do you think you'd need for that chance to be negative?  I'm thinking about 600 or so.

>>4
A negative chance does not exist: chance is from 0(zero chance) to 1(certain occurrence). You're probably thinking about http://en.wikipedia.org/wiki/Negative_probability  which doesn't apply here. Collision chance is in 0<>1 interval.

The real question is : how much each additional hash reduces the chance of collision with all other hashes?

>>5
You're being too pessimistic.  OP has solidly disproved the Pigeonhole Principle with concrete, provable mathematics. Surely he can create negative probability with the same methods!

>>7
Hold your horses. There is a (very small) chance that collision will still occur. He had not proven that chance to be zero, just very close to it.

Cats

>>8
What?!? Are you somehow suggesting that OP's discovery of REAL INFINITE COMPRESSION could be tainted by such a flaw?

Reported my dubs to moot. He was quite impressed.

Anime is so unrealistic, most of the maido aren't even Hispanic.