Why is this not 0 on 50g or Prime?

[rprosperi]

(07-16-2018 05:38 PM)Valentin Albillo Wrote:  The value of 1/0 depends on the sign of 0.

Excluding limits when approaching from positive or negative, isn't 0 actually neither positive or negative by definition?

Maybe I've just been happily uninformed for many years...

(07-16-2018 05:38 PM)Valentin Albillo Wrote:  

• In case of +0, 1/+0 would be +Inf and your denominator would be Inf + Inf = Inf. So far so good.
• In case of -0, 1/-0 would be -Inf and your denominator would be Inf - Inf = Undefined.

I've never had a belief or opinion about these... are these simply defined as allowed and not defined respectively as a convention?