On Saturday, December 22, 2018 at 12:18:33 PM UTC, Bruno Marchal wrote:
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> On 20 Dec 2018, at 16:35, agrays...@gmail.com <javascript:> wrote:
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> On Thursday, December 20, 2018 at 12:46:06 PM UTC, Bruno Marchal wrote:
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> On 19 Dec 2018, at 16:52, agrays...@gmail.com wrote:
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> On Wednesday, December 19, 2018 at 12:01:07 PM UTC, Bruno Marchal wrote:
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> On 18 Dec 2018, at 07:57, Bruce Kellett <bhkel...@gmail.com> wrote:
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> On Tue, Dec 18, 2018 at 5:42 PM <agrays...@gmail.com> wrote:
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> On Tuesday, December 18, 2018 at 5:31:06 AM UTC, Bruce wrote:
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> But we are talking about definitions of objects, not axioms of a theory. 
> We know that any axiomatic theory will necessarily be incomplete -- there 
> will be formulae in the theory that are neither theorems nor the negation 
> of theorems.
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> *Based on the examples I previously offered, that QM and SR are axiomatic 
> theories, can we conclude they're incomplete? AG*
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> Such theories of physics are not axiomatic theories. The things you 
> referred to are broad principles, not axioms.
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> That is right. Most theories in math and physics are not axiomatic. 
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> *Concerning physics, nonsense! There's no difference between "the general 
> principles" defining quantum mechanics and SR, and the "axioms" defining 
> these theories. In SR, the genius of Einstein in 1905 was to put the theory 
> on an axiomatic basis which rendered Lorentz's ether theory irrelevant. AG*
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> I guess you are using the term “axiomatic” in a more general sense that 
> most logicians use that term.
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> *An "axiom" is any statement one assumes to be true. AG*
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> That is a general meaning in general philosophy. In logic an axiom is just 
> a formula, or even a machine, and has nothing to do with truth a priori.
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*IMO, your comment, while possibly true in a technical sense, is just 
obfuscating BS. For example, for non relativistic QM, we assume 
Schroedinger's equation is "true", or correctly represents how the wf 
evolves. Give me a break. AG *

> I know only Carnap and Bunge to have attempted axiomatic (in the stricter) 
> logician sense for physics. 
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> *Absent a Theory of Everything, there is no possible axiomatic structure 
> "for physics". AG *
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> They failed,
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> *It was a project doomed to failure because there is no such thing as a 
> general theory of physics for which it could be applied. AG *
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> Not yet. The problem of physics is that its meaning/semantics is still not 
> abstracted from some metaphysical commitment.
> By separating science and religion, physics tends to be confused with 
> metaphysics. Some posts in this list confirms this.  
>

*Most physicists are not confused as you allege. IMO, this line of 
discussion is just an effort to create strawmen. AG *

> Before we get serious on this, axiomatic cannot be used in physics, and 
> even in physicalist metaphysics. 
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> Bruno
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>  
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> but I think this should be pursued, as it will help for the type of 
> consideration we have here, but that is a difficult task. Einstein was 
> using the spirit of axiomatic thinking in SR, OK.
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> *Not merely "spirit", but concrete results. Einstein was able to derive 
> the Lorentz transformation from his two postulates or axioms; namely, the 
> Principle of Relativity and the invariance of the SoL for inertial frames, 
> and in the process rendered Lorentz's ether theory irrelevant.  AG*
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> But like Euclid, he remains “intuitive” for the math part.
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> *Not merely intuitive, but concrete math results! See above. AG *
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> *Same situation prevails for QM as far as axioms are concerned, but here 
> there's nothing intuitive!  For wave mechanics, there are about 4 or 5 
> postulates or axioms pulled out of a hat, from which the consequences 
> follow. For Feynman's Path Integral model, there are 3 postulates, which 
> have already been posted. AG*
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> Minkowski axiomatic is more like the use in logic, but then it is no more 
> physics. The difficulty to axiomatic physics is … the nature of what we man 
> by “universe”, or by a physical reality, or even a physical experimental 
> device. We work with our intuitive model of this, for good practical 
> reasons.
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> *Nothing intuitive about one of our best physics theory, QM, AG *
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> Bruno
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> ...

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