On Sunday, September 1, 2019 at 6:57:31 AM UTC-5, Philip Thrift wrote:
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> On Sunday, September 1, 2019 at 6:26:17 AM UTC-5, Bruno Marchal wrote:
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>> On 31 Aug 2019, at 16:01, Philip Thrift <[email protected]> wrote:
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>> I've decided that in the matter vs. math debate, to conclude that there 
>> is no debate,  if one just says that a study of math is just a study of 
>> matter, and nothing more.
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>> This will only obscure the difference between math and physics. But those 
>> science does not study the same things. Mathematics studies abstract 
>> relations, which are out of the category of space, time, and physical 
>> things. Physics is a theory of observable predictions.
>>
>> With mechanism, physics becomes a very special branch of machine 
>> theology, which is itself a very special branch of mathematical logic 
>> (itself a very special branch of mathematics).
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>> https://twitter.com/philipthrift/status/1167548170714386433
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>> ..
>> Jussi Jylkkä @JylkkaJussi
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>> It’s partly terminology, why couldn’t it be that pain is a mathematical 
>> structure. If mathematical things are concrete, then how can we be sure 
>> what those things are really like?
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>>
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>> In mathematics (as opposed to metaphysics and theology) we don’t care on 
>> the nature of things. We only reason from axioms that we share on some 
>> intuition that we have. Nobody knows, or even try to know, what is a 
>> number, or what is a set, but we do agree on some of their properties. 
>>
>> When interested in the nature of things, we still have to accept primary 
>> things and primary laws between those things to account of the “other 
>> things”.
>>
>> Physics studies the physical reality.
>> Math studies the mathematical reality.
>> Metaphysics/theology studies the nature of Reality, and tackle the 
>> fundamental question “Is Reality Mathematical, or Physical, or theological 
>> or mental, etc.”  and this without deciding the answer in advance, and 
>> trying to get observable consequences, so that the metaphysics can be 
>> improved/refuted.
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>> It is a just a bad habit that we use dogma in metaphysics (since long). 
>>
>> The truth is that we don’t know, but there too we can build theories and 
>> test them. 
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>> Somehow, since QM’s foundational problem, physics begin to handle 
>> metaphysical question, and to have to decide (even if momentarily) on some 
>> philosophical principles, like Mechanism (cf Everett) or non Mechanism (cf 
>> Bohr, von Neumann, Wigner, etc.).
>>
>> Bruno
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> Even if mathematical physics only ranges over a subset of mathematics
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> https://www.symmetrymagazine.org/article/the-deconstructed-standard-model-equation
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> but mathematics by itself can range over all mathematical-fictional 
> worlds, it is still (so far, until AIs take their place) only human brains 
> that have fabricated those worlds (in writing!).
>
> @philipthrift
>

Related question:

Is there any mathematics that exists in some mathematician's brain that she 
cannot write in a paper (or on a blackboard)? 


@philipthrift

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