On Mon, Oct 12, 2020 at 8:42 AM Wes Turner <wes.tur...@gmail.com> wrote:
>
> No, 2 times something is greater than something. Something over something is 
> 1.
>
> If we change the division axiom to be piecewise with an exception only for 
> infinity, we could claim that any problem involving division of a symbol is 
> unsolvable because the symbol could be infinity.
>

Again, you start with the assumption that infinity is a number. "2
times something is greater than something" applies only to positive
real numbers - not to zero, not to negative numbers, not to complex
numbers.

> This is incorrect:
> x / 2 is unsolvable because x could be infinity
> x / 2 > x / 3 (where x > 0; Z+) is indeterminate because if x is infinity, 
> then they are equal.
>
> assert 1 / 0 != 2 / 0
> assert 2*inf > inf
> assert inf / inf == 1
>

Where do these assertions hold true? Certainly not in Python, nor in
mathematical real numbers.

> I should have said capricious (not specious). I'm again replying to the main 
> thread because this is relevant: there would need to be changes to tests in 
> order to return (scalar times) infinity instead of ZeroDivisionError.
>
> We should not discard the scalar in scalar*infinity expressions.
>

The scalar becomes irrelevant when infinity is a limit, rather than a number.

Further discussion probably belongs on python-list rather than here.

ChrisA
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