12 Oct 2020 12 Oct '20
On 10/11/20 5:04 PM, Wes Turner wrote:
So you're arguing that the scalar is irrelevant? That `2*inf == inf`?
I disagree because: ```2*inf > inf```
inf / inf = 1 # When we solve for symbol x: 2*inf*x = inf 2*x = 1 x = 1/2 # If we discard the scalar instead: 2*inf*x = inf inf*x = inf x = 1 # I think it's specious to argue that there are infinity solutions; that axioms of symbolic mathematics do not apply because infinity
Treating inf as any other number because it works out 'symbolically' is one of the recipes that allow you to prove that 1 == 2, thus symbolic math needs to work with certain preconditions that avoid the generation of 'numbers' like infinity into the system (or somewhat related, avoid a divide by 0)
-- Richard Damon