meekerdb wrote:
On 6/5/2015 12:22 PM, John Clark wrote:
On Fri, Jun 5, 2015 , meekerdb <[email protected] <mailto:[email protected]>> wrote:

        >> It's very relevant if you want to know what is a simplified
        approximation of what. And we both agree that a electronic
        computer is vastly more complex than it's logical schematic,
        so why can we make a working model of the complex thing but
        not make a working model of the simple thing when usually it's
        easier to make a simple thing than a complex thing? The only
        answer that comes to mind is that particular simplified
        approximation is just too simplified and just too approximate
        to actually do anything. That simplification must be missing
        something important, matter that obeys the laws of physics.

    > The trouble with this argument is that the laws of physics are
    mathematical abstractions.


Mathematicians are always saying that mathematics is a language, but what would be the consequences if that were really true? The best way known to describe the laws of physics is to write then in the language of mathematics, but a language is not the thing the language is describing.

I agree the laws of physics are descriptions we invent; but even so they are abstractions and not material and what they define is only an approximation to what happens in the world. That's what makes them useful - they let us make predictions while leaving out a lot of stuff.

So what is this "lot of stuff" that the mathematical abstractions leave out? In response you your initial point that "the laws of physics are mathematical abstractions", the obvious questions is "Abstractions from what?"

Bruce

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