On 7/21/2011 8:08 PM, Jason Resch wrote:
On Thu, Jul 21, 2011 at 9:29 PM, meekerdb <meeke...@verizon.net
On 7/21/2011 1:16 PM, Jason Resch wrote:
On Thu, Jul 21, 2011 at 1:30 PM, meekerdb <meeke...@verizon.net
On 7/21/2011 11:03 AM, Jason Resch wrote:
On Thu, Jul 21, 2011 at 10:54 AM, meekerdb
<meeke...@verizon.net <mailto:meeke...@verizon.net>> wrote:
On 7/21/2011 2:27 AM, Bruno Marchal wrote:
Axiomatics are already in Platonia so of course
that forces computation to be there.
The computations are concrete relations.
If the are concrete then we should be able to point to
If your mind is a computer, you don't even need to point to
them, everything you see and experience is direct evidence
of the existence of the computation implementing your mind.
Also, I don't think the "point test" works for everything
that has a concrete existence. How would a many-worlder
point to the other branches of the wave function, or an
eternalist point to the past? How would an AI or human in a
virtual environment point to the concrete computer that is
rendering its environment?
They don't need axioms to exist. Then the numbers
relation can be described by some axiomatic.
And one can regard the numbers as defined by their
relations. So the "fundamental ontology" of numbers is
reduced to a description of relations.
Is a chair the same thing as a description of a chair, or an
idea of a chair?
The is no need to suppose they exist in the sense of
tables and chairs.
Assume both matter and number relations exist. With comp,
the existence of number relations explains the existence of
That's the question. It seems that comp requires more than
the existence of number relations, it requires the existence
of a UD or equivalent.
The Fibonacci sequence is, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55,
It is defined by the simple number relation Fib(n) = Fib(n-1) +
Fib(n-2). This is a simple recursive definition. You might even
say the number line has a simple recursive definition, where
Number(n) = Number(n-1) + 1. Different recursive definitions
result in different sequences of numbers (different ways of
progressing through the integers). In some of these definitions,
bits patterns (within the number) may move around in well defined
There's the rub. Nothing changes in Platonia. Nothing "moves
around" or "computes". Bit patterns are physical things, like
101101. Numbers are not.
Nothing changes in physics either. Block time is the only consistent
view given relativity.
Different t ==> different g_ab. That's change in physics. Anyway, GR
must be incomplete since it's not compatible with QM.
Things don't need to move to compute, there just need to be well
defined relations between the bits.
some of these bit patterns become self-reproducing, and may even
evolve into more complex bit patterns, which are better able to
reproduce themselves. Some of these bit patterns may even evolve
consciousness, as they build brains which attempt to discern and
predict future observations of bit patterns within the number.
Let's call this function Universe. There may be bit patterns
(life forms) in Universe(n) which improve their survival or
reproductive success by correctly predicting parts of
Universe(n+x). There are number relations which define such
sequences of numbers; you cannot deny their existence without
denying the Fibonacci sequence or the number line (these are just
simpler instances of recursive relations).
I can deny that the numbers exist the way tables and do and still
accept that certain relations are true of them; just like I can
accept that John Watson was a friend of Sherlock Holmes.
Numbers, unlike fictional characters, are co-eternal with the
universe, if not the cause of the universe.
That assumes numbers exist.
In that sense, they are just as concrete if not more concrete than
any physical object. Your view is like that of a being who has spent
its whole life in a simulated virtual environment: It believes the
virtual reality and items in it are "more real" than the actual
computer which implements the virtual environment. The beings only
justification for this belief is that he can't access that computer
using his senses, nor point is he able to point to it.
That's logically possible and maybe nomologically possible - but there's
also not an iota of evidence for it. So my view is *also* like that of
a being who has spent his whole life in this material universe. My
justification for believing this (to the limited extent I do) is that it
is a model consistent with everything known and has been successful all
its predictions, from what I'll find in my refrigerator if I look, to
the spectra of emissions of galaxies at z=20. The idea that I'm living
in a computer simulation predicts everything and nothing.
"A theory that can explain anything fails to explain at all."
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