It depends on authors. I said that French people generally consider 0 as being neither positive nor negative. For instance, a positive temperature is above 0°C.
For the french mathematician group Nicolas Bourbaki, which is a well known reference, zero is both positive and negative. But that not means that all mathematicians (being french or not) agree with this. I rather think that it is a non standard definition of positive (and negative). Bourbaki had certainly good reasons to do this, but I think it makes things more complicated. It’s better when the mathematical definitions are consistent with the common sense. And, in fact, I do not know of any other mathematicians who have adopted this point of view. For Wikipedia in english – see [https://en.wikipedia.org/wiki/Positive_real_numbers](https://en.wikipedia.org/wiki/Positive_real_numbers) – a positive number is clearly greater than zero and, this, from a mathematical point of view. But, even in English, your video shows that there is still discussion on this topic.
