> On 2 Oct 2018, at 18:18, John Clark <johnkcl...@gmail.com> wrote:
> 
> On Tue, Oct 2, 2018 at 12:04 PM Bruno Marchal <marc...@ulb.ac.be 
> <mailto:marc...@ulb.ac.be>> wrote:
> 
> > Mysticism is certainly not bullshit when you understand that any universal 
> > number/set believing in “enoughinduction” axioms discover his own theology 
> > [...]
> 
> Bruno, whenever you use that word or the G word you just lose me, I don't 
> know what you're talking about.

Consider any digital machine. It corresponds to some number k (such that 
phi_k(x) = y describes the behaviour of the machine k) (digital machine are 
recursively enumerable).

The theology of the machine k is define by the set of all true sentence about 
k. That includes the sentences that k is able to prove (relatively to the base 
phi_i) *and* the sentences which are true about k, but that k cannot prove.

With mechanism, you can define theology by the difference between computer 
science and computer’s computer science.

You can define it by Tarski’s notion of truth minus Gödel’s notion of 
probability.

Eventually, its proposition part is given by the second logic of Solovay G*, or 
G* minus G for the proper part.

I agree with the scholar Hirshberger: the notion of god of plato is the notion 
of truth, with the understanding that we cannot express it as such. It is the 
truth that we search and doubt about, not any dogma.

If materialism is correct, god is the material universe
If mechanism is correct, god is the arithmetical truth (and actually a bit less)

I recall the definition of God that I use: whatever is responsible for us being 
here and now.
With mechanism, we need first the whole arithmetical truth, but after some 
study, we see that we can take much less, but that very fact will not be among 
what we can prove. 

Bruno



> 
>  John K Clark
> 
> 
> 
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