Last year I made the mistake of asking ChatGPT what the world would look like if `∞ === -∞` and it took me seriously (I think) and led me on an hours-long dance where in the end it had me trying to prove, mathematically, that `2 > 1` ... and it was at that point I realised that I'm not cut out to think in numbers and maybe it was for the best that I failed my end-of-school Maths exam
> Last year I made the mistake of asking ChatGPT
That's the only way to ask it.
But in the spirit of generosity you may be interested in the "one-point compactification of the line".