On Sat, Oct 5, 2019, 8:00 AM John Rose <[email protected]> wrote:

> On Friday, October 04, 2019, at 12:42 PM, Matt Mahoney wrote:
>
> Evolution is arguably simple, but it required 10^48 DNA copy operations on
> 10^37 bits to create human intelligence
>
>
> Simple programs that create apparent complexity are not full
> representations of that complexity since they don't contain the physical
> energy expenditure component in the expression. That's where the
> consciousness of an observer comes in to play (IMO).
>

The complexity of an object is the fewest number of symbols needed to
describe it in some language. It has nothing to do with computation time,
energy, or consciousness. It is only the simplicity of a theory that
determines its power in making predictions in accordance with Occam's
Razor. This holds in all branches of science.

Simpler descriptions are usually slower. For example, the simplest
description of pi is probably the Taylor series expansion of 4 x arctan(1)
= 4 x (1 - 1/3 + 1/5 - 1/7 +...). But that converges very slowly. You need
a million terms to get the first 6 decimal places. There are faster
algorithms, but it is the simplest formula that determines how often pi
turns up in various places.

Likewise, a description of evolution would require a model of chemistry,
which would require 10^90 (quantum) operations to model just the Earth, or
10^120 operations to model all 10^24 planets in the observable universe and
their sun's, even if Earth is the only one containing life. The latter
model requires 80 fewer bits to encode because it doesn't have to specify
the planet. It allows for models in which the spontaneous formation of self
replicating molecules is exceedingly rare, as it seems to be.

It probably takes a few hundred bits to describe the laws of physics. But
an even simpler model, requiring vastly more computation, is that all
possible universes with all possible laws of physics exist, and we
necessary observe one where it is possible for life to evolve.

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