> On 15 May 2019, at 03:30, Bruce Kellett <[email protected]> wrote:
> 
> On Wed, May 15, 2019 at 2:49 AM Jason Resch <[email protected] 
> <mailto:[email protected]>> wrote:
> On Mon, May 13, 2019 at 6:06 PM Bruce Kellett <[email protected] 
> <mailto:[email protected]>> wrote:
> On Tue, May 14, 2019 at 1:50 AM Jason Resch <[email protected] 
> <mailto:[email protected]>> wrote:
> 
> Most scientists would say quarks are real, because they are part of 
> successful theories which have explanatory power.
> 
> That is the semantic part of scientific realism -- the entities in our most 
> successful theories correspond to elements of reality. That is just to 
> acknowledge that the ontology is theory dependent -- not mind independent. So 
> quarks may or may not be real -- we will probably never know.
> 
> So what is wrong with the theory that the integers are real? (arithmetic is 
> successful, after all)
> 
> Nothing is wrong, except that you are using a different notion of "real". 
> Integers are invented by humans, even though there is intersubjective 
> agreement about them.


Who invented the humans?

It is easier to explain the humans from the numbers than the contrary.



>  
> 
> Why would I want to? Mathematics is useful for describing the results of our 
> observations and experiments. It is a convenient language. Do you think that 
> English sentences are part of a mind-independent reality?
> 
> Because arithmetical realism explains more while assuming less.
> 
> The trouble with this is that it does no such thing. Arithmetical realism 
> does not even explain consciousness, much less physics. Can mechanism explain 
> the quale 'red’?

Yes, But you need to understand the difference between p, []p, []p & p, etc.




> 
> .....
>  
>  I think they are an excellent starting point. It is much easier, 
> conceptually for me to accept 2+2=4 is true, has always been and always will 
> be true, and needs no reason to be true,
> 
> But that is a matter of definition, not of ontology. Truth in arithmetic does 
> not imply existence.

It implies the existence of the solutions of a universal Diophantine equation, 
which explains the physical and the qualia when we assume mechanism.




>  
> rather than the alternative, which is to accept the physical universe as we 
> see it exists on its own, independently of anything else or any other reason. 
> For what reason would such a physical universe exist, why does it have this 
> form, was it caused by something else, is there more beyond it?
> 
> As I have said, science does not answer 'why' questions. It describes and 
> predicts -- which is as good an understanding as you will ever get.

That looks like post roman christian propaganda. Don’t search why. Shut up and 
calculate. This is a lasting prejudices of the Aristotelian (weakly 
materialist) era.




>  
> Arithmetical realism provides a simple, elegant answer to these questions, 
> and moreover answers many more questions than assuming the physical universe 
> at the start.
> 
> No, it does not. Arithmetical realism does not actually answer any questions. 
> It cannot explain consciousness any more than it can explain the existence of 
> space and time, much less derive their properties.

Proof? It looks you have read the posts nor the papers mentioned there. Read 
them ans ask specific question, if interested.

Bruno




>  
> Believing that there is something mind-independent to explain is better -- as 
> long as one explores what this might mean, rather than assuming the answer 
> from the start.
> 
> We both assume something mind independent. You think it is the physical 
> universe, I think it is the integers.  My assumption of the integers not only 
> explains why we have an objective field of mathematics, but with Mechanism, 
> it explains the emergence of the appearance of the physical universe (without 
> having to assume the physical universe). So I get to explain two things with 
> one assumption.
> 
> But mechanism has not done this. It is claimed that it can explain physics, 
> but we have yet to see any evidence that it can explain anything.
>  
> Since you start with physicalism, and deny the objective existence of 
> arithmetical truth, you are confronted with the problem of explaining where 
> arithmetical truth comes from. You say it comes from axioms but since Godel 
> this has been known to be false.  Your assumption can explain the physical 
> universe, but not the objective nature of arithmetical truth.
> 
> Incompleteness is not an objection to my contention that arithmetical truth 
> is a deduction from the axioms. If some alternative notion of 'truth' calls 
> some proposition that is not a theorem 'true', then you simply expand you 
> axiom base. Nothing particularly profound here. The same is true of physical 
> theories -- if they do not explain something that is observed (viz. 'true'), 
> we change the theory.
> 
> Further, I don't see any hope for how you can ever hope to explain why the 
> physical universe has the laws that it does.
> 
> Maybe that is just geography. In some theories, other universes have 
> different laws. So why bother to explain why we see these laws and not 
> others? They are just a feature of the local landscape -- geography.
> 
> Why is it quantum mechanical, why are the laws so simple compared to the 
> total information state of the universe,
> 
> We can explain that by observing that we propose laws that are as simple as 
> possible, consistent with the data. The laws are simple because we make them 
> that way!
>  
> do altogether other universes exist?  There is hope of getting answers to 
> these questions starting from the assumption of the integers, but there is 
> not if your starting assumption is the physical universe itself.
> 
> There is no evidence that any of these questions can be answered by starting 
> from arithmetical realism. Besides, one does not ask why the orbit of the 
> earth is what it is -- it is just geography, with no fundamental 
> significance. If one goes to anthropic explanations, one achieves little -- 
> it is a trivial truism that the universe we observe is one that is compatible 
> with our existence.
> 
> Bruce
> 
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