Re: Repeatable compression is possible and easy to do, here's how...

Thomas Richter ha scritto:
Science means to accept 2+2=4, and to deny 2+2=5. It also means working
by the logic. You *may* find that todays accepted natural laws are
limited and require refinement, this happened more than once. But we
aren't speaking about natural laws at all. We're speaking about things
that a chessboard that is 8 squares long and 8 squares high has a total
of 64 squares. It will *never* have 65 or 63 squares. You only need to
count to prove it, and then shortcut by a computation. In exactly the
same sense, you only need to count files. There is no difference, just
more files.

How come that people accept laws for numbers that are about as large as
the number of fingers they have, but refuse to accept *the very same*
basic laws for numbers that go barely beyond that? Whether you count to
100 to decide that it is divisible by ten, or to 1000000000000000000000
to check it, where's the difference? Just because you could in the
lifetime for the first, but not for the second, does this change how
mathematics works????


This is all pretty logic and agreed Thomas.
Although I heard around that imaginary numbers are pretty useful in math, even if they're based on the *illogic* principle that there exist (or someone assumed) a solution for sqrt(-1) and we call it "i".
Clearly "i" isn't a real value and will never have a value - conversely to your examples - but nevertheless it has been used to go beyond conventional reasoning/limits (for the times it was conceived).
I'm not saying this reasoning can be applied to data compression and come up with a universal recursive compressor, but just that math has some history of "flexibility" in the reasoning and formulation of theories/systems compared to rigorous and inflexible "logic".
If I had to be absolutely logic about math, I'd never ever admit imaginary numbers...they'd be out of the game. (since straight logic says that there cannot exist a real solution for sqrt(-1) - infact they had to introduce a whole new "complex plane")
Quaternions are based on complex numbers and very useful in 3D graphics, although they violate the rule xy = yx....there are many examples of "violating" the rules *in math*.

Best,
E.


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