I cannot see Math Not being real, because it would fail, enormously, if "laws" 
of the cosmos, did not work. In other words, we could describe the world via 
phlogiston mist, or, luminiferous ether (tip o' the hat to the 19th century 
scientists), so it works. If math didn't work, simple objects like planets 
would not reliably work, circling their parent star. Are there any 
counter-examples, where Math fails to describe? Or, does Math have real 
examples of failure? Please cite these. G'wan!



-----Original Message-----
From: David Nyman <da...@davidnyman.com>
To: everything-list <everything-list@googlegroups.com>
Sent: Sun, Sep 3, 2017 6:07 pm
Subject: Re: Is math real?



On 3 September 2017 at 17:46, Brent Meeker <meeke...@verizon.net> wrote:




On 9/3/2017 7:06 AM, Bruno Marchal wrote:


On 01 Sep 2017, at 19:57, Brent Meeker wrote:




On 9/1/2017 1:03 AM, Bruno Marchal wrote:

This leaves, as Bruno says, lots of white rabbits.


That leaves us in the position of showing that there is no white rabbits or, to 
refute computationalism by showing there are still white rabbits, and then you 
can try to invent some matter or god able to eliminate them, but that will in 
any case refute mechanism.




What if getting rid of those white rabbits tightly constrains consciousness and 
physics to something like what we observe?


Exactly. Getting rid of the white rabbit = proving the existence of the 
relevant measure = deriving physics from machine theology (alias elementary 
arithmetic).


Then it will have been shown that physics entails consciousness as well as the 
other way around.


OK. But arithmetic is a subtheory of any physical theory. The progress are the 
following

Copenhagen QM: assume a physical reality + a dualist and unclear theory of mind

Everett QM: assume a universal wave + the mechanist theory of mind (+ an 
identity thesis).

Me: the mechanist theory of mind (elementary arithmetic).

Brent wrote to David:


I am agreeing with you.  I only disagree with Bruno in that he wants to take 
arithmetic or computation as more really real than physics or consciousness and 
not derivative.  It seems to me that the very possibility of computation 
depends on the physics of the world and is invented by evolution.


But that is plainly false. I can prove the existence of computation in 
arithmetic. 


After you assume arithmetic.  I can prove anything if I get to choose the 
axioms.


On the contrary, we can only speculate on a primary physical reality for which 
there are no evidences at all. 


You can't prove primary arithmetic either.  "Primary" is just a word you stick 
on "physical" to make it seem inaccessible.


​I don't think that's right. Primary just means that part of a theory that is 
assumed rather than derived. In the case at hand the theory is mechanism, in 
which it is assumed that concrete or phenomenal reality ​is ultimately an 
epistemological consequence of computation. That being the case, the theory 
relies on computation, or its combinatorial basis, as its ontology (i.e. that 
part of the theory that is taken to exist independently of point-of-view). It 
then sets out to derive its phenomenology by means of an epistemological 
analysis (i.e. that part of the theory that is understood to be point-of-view 
relative) based on the generic or universal machine as unique subject or agent. 
Physics, as an observationally-selected subset both of the computational 
ontology and its derived phenomenology, cannot thus be considered primary, in 
the sense given here. Rather, it makes its appearance as a tightly-constrained 
extensional infrastructure in terms of which the machine's phenomenology is 
enabled to play out in action.


David




  I don't need to prove the physical, I observe it.


Your argument is 100% the same as saying "It seems to me that the very 
possibility of computation depends on God".

If God or Matter plays a role in a computation, then you are not taking the 
word "computation" in its standard meaning (cf Church-Turing-Post-Kleene 
thesis), and I have no clue at all what you are talking about.


So you put words in my mouth and then complain that you don't know what I'm 
talking about?

Brent




Bruno










Brent

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http://iridia.ulb.ac.be/~marchal/





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