> On 14 May 2018, at 06:52, [email protected] wrote:
> 
> 'There is no inductive method which could lead to the fundamental concepts of 
> physics. Failure to understand this fact constituted the basic philosophical 
> error of so many investigators of the nineteenth century.'
> 
> What does he mean? AG

He means that you cannot be sure to find a physical laws (which involves 
infinities of examples) from a finite number of observations. 

Obviously, this is quite close to the spirit of computationalism, which go 
farer in justifying that we can deduce the existence of the indexical apparence 
of the physical realm, and its quantitative aspects, by reasoning alone. The 
physical reality is still needed to test it, and in this case it is 
computationalism which is tested.

The physical reality is “in the head” of all universal number (in arithmetic or 
in a Turing equivalent).

Einstein is right, and the way physics approach reality makes it impossible to 
distinguish a physical laws from geographical law. With computationalism, and 
who knows perhaps with other hypotheses, we have the mean to distinguish 
physics from geography, and computationalism justifies well what is a physical 
law (it is what is invariant for all observable by any universal machine).

I guess this is a quote of the old Einstein, perhaps after he met Gödel, 
although the young Einstein was also rather “physical platonist”, so I am not 
sure. He did say to someone asking if he do experiments that his laboratory was 
his pen and paper, if I remind well.

I have not the time to mesquite it, but Raymond Smullyan, in “Forever 
Undecided” made very precisely the confusion between physics and geography, and 
it helped me to realise this was a common confusion for mathematicians, still 
today.

Mechanism makes physics invariant for the primitive universal machinery 
(invariant for the choice of the “base” used for naming the partial computable 
functions phi_i and their range/domain the w_i). This should be enough to 
deduce the laws of the observable, and indeed that has been done, and confirmed 
up to now.

One day we should discuss on the similarity and difference between the 
induction axioms in mathematics, and the inductive inference in the empirical 
science. It is both quite different yet much more related than is usually 
thought. 

Bruno







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