On Thursday, January 23, 2020 at 1:28:44 AM UTC-6, Philip Thrift wrote:
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> On Wednesday, January 22, 2020 at 7:29:32 PM UTC-6, Brent wrote:
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>> On 1/22/2020 5:08 PM, Alan Grayson wrote:
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>>> When you measure something and it is so close to zero as to be 
>>> indistinguishable from zero, then taking it to be zero is not an assumption.
>>>
>>>
>> *Why don't you compare the measured value with the curvature of a sphere 
>> 1 LY in diameter, or !0^6 LY in diameter? Do you really think the curvature 
>> would be significantly different from the measured value of the universe? I 
>> doubt it. So, taking it to be zero, is just what you prefer, nothing more. 
>> CMIIAW, AG*
>>
>>
>> No, because zero is a physically interesting value.  There maybe some 
>> unrecognized symmetry principle that makes it zero.  It's unlikely that 
>> there's some symmetry principle that makes it 1e-6.  That's why physicist 
>> look at the data as evidence for zero.  Of course they may be wrong.  But 
>> it's not because they are just pulling assumptions out of thin air.
>>
>> Brent
>>
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> (from Wikipedia)
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> *There are two zeroes*: +0 (*positive zero*) and −0 (*negative zero*) and 
> this removes any ambiguity when dividing. In IEEE 754 
> <https://en.wikipedia.org/wiki/IEEE_754> arithmetic, *a* ÷ +0 is positive 
> infinity when *a* is positive, negative infinity when *a* is negative, 
> and NaN when *a* = ±0. The infinity signs change when dividing by −0 
> <https://en.wikipedia.org/wiki/%E2%88%920_(number)> instead.
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(cont.)

*Infinity –*
The values +infinity and -infinity are denoted with an exponent of all ones 
and a mantissa of all zeros. The sign bit distinguishes between negative 
infinity and positive infinity. Operations with infinite values are well 
defined in IEEE.


https://www.geeksforgeeks.org/ieee-standard-754-floating-point-numbers/

@philipthrift 

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