On Fri, Oct 4, 2019, 6:54 AM John Rose <johnr...@polyplexic.com> wrote:

> On Wednesday, October 02, 2019, at 11:24 AM, James Bowery wrote:
>
> Wolfram!  Well!  Perhaps you should take this up with Hector Zenil
> <https://www.hectorzenil.net/main.html>:
>
>
> Interesting:   https://arxiv.org/abs/1608.05972
>

Zenil, like Wolfram, wants to find the simple program that describes the
universe, the long sought theory of everything. Wolfram believes it is just
a few lines of code. The problem is that no computer contained in any
universe can simulate its container to test the code. Lloyd estimates it
would take 10^120 operations and 10^90 bits of memory to simulate the
observable universe.

But perhaps the code could be proven to be consistent with known physics,
or supported empirically using partial simulations.
Minsky said there ought to be a way to find simple programs that generate
observed data most of the time, the key to all learning algorithms, even
though Kolmogorov, Solomonoff, and Chaitin proved no universal procedure
exists, as Minsky was aware. The human brain seems like a near universal
learner, but that is because it is complex (a necessary condition of
powerful learners, as proven by Legg), and a product of evolution, which
selects for learning patterns important for survival and reproduction. To
show that the brain is not universal, try multiplying a pair of 3 digit
numbers in your head.

Evolution is arguably simple, but it required 10^48 DNA copy operations on
10^37 bits to create human intelligence.

Zenil's paper (I only read the abstract) describes graphs that appear
complex or random but are actually algorithmically simple. But we already
know that about data in general. The digits of pi are believed (but not
proven) to be Borel normal (uniformly distributed in all bases) in spite of
having a simple description. Likewise for encrypted or hashed data, where
it is very hard to find the simple generator.

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