Why is this not 0 on 50g or Prime?

[ijabbott]

(07-18-2018 04:05 PM)Vtile Wrote:  

(07-18-2018 01:41 PM)KeithB Wrote:  0/0 does not equal 1, it is undefined.

First of yes, that is the right consensus and mathematically solid definition. Hence my note of my personal rather meaningless philosophical little thinking game.

However if 1/inf = 0 and (a/b)/(a/b) = 1 then it would be only reasonable to say that (1/inf)/(1/inf) = 1 and 0/0 = 1. However it is not allowed to declare inf = inf, but inf <> inf is only allowed. For mathematical rigor this (0/0=1) of course is not the case since there is these 'special' rules and blu tack for certain things.

So if \(0/0 = 1\), does \(2\cdot 0/0 = 0/0 = 1\) or does \(2\cdot 0/0 = 2\cdot 1 = 2\)? Things are undefined for a reason!