On Monday, June 8, 2020 at 9:40:46 AM UTC-6, Alan Grayson wrote:
>
>
>
> On Monday, June 8, 2020 at 7:57:33 AM UTC-6, John Clark wrote:
>>
>> Alan Grayson aka Mr.Carl Sagan co-author wrote:
>>
>> *> you seem to deliberately ignore the fact that in physics we use 
>>> idealized cases to reach important insights.*
>>
>>
>> Far from ignoring it for years I've been trying to convince Bruno that 
>> mathematical approximations help us understand physical phenomena but 
>> simulations are always simpler than the real physical thing; therefore 
>> physics is not an approximation of mathematics but mathematics is an 
>> approximation of physics. So physics is more fundamental than mathematics. 
>> I mean... if a mathematical model of what the path of a hurricane will do 
>> does not conform to what it actually does we don't say the physical 
>> hurricane made an error, we say the computer model made an error.
>>
>> John K Clark
>>
>
> The fact that our models are simplifications of reality, means that the 
> principles of physics on which are models are derived, are also 
> approximations. So, again, your argument about the relationship of 
> mathematics to physics fails. Conic sections to model planetary orbits are 
> hugely successful. The fact that they're not exactly perfect is obvious, 
> and cannot honesty be appealed to, to claim that mathematics is "merely" 
> approximate, whereas the principles of physics are somehow more perfect. We 
> know this isn't generally true, since GR is superior to NM, but even GR 
> will someday be supplanted by a better understanding of gravity. AG 
>

Correction; ... on which OUR models are derived ...  AG 

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