#Mathematics as 2 or more logics mixed?... which can conflict sometimes...?

Video not the highest source of course but some simple points I feel? (happy to be expose my own perceptions here)

So what I mean is:

Maths shown here shows the basic main functions (addition, subtraction)
BUT couldn't it be mixing together another few logics (which is the human perspective or action of having numbers and negative numbers existing but not in real life?).

To help see what I mean, question yourself:

Why subtracting 5 from 1 is -4?
...Wouldn't real life = positive 4?

What is 0 here? Empty hand?

Why can you add 0?

So I'm thinking: "Of what is this human functional logic moving human things together in non-real ways!!!" :)

█ Main part for me just to confirm:

If you subtract 5 from 1, it's -4 (?)

If 4 +(added to) -4 = 0 (? like nothing ?)

If you add 4 to 0 = 4 (it's just 4 - not 4 and 0 like previous equation?)

Kind of questions:
█ what are these things in the minus spectrum?

█ and using 0 in adding or subtracting...? is that just another man-made creation of counting not necessarily correct or of something not flawed for some uses but flawed as counting things as a static reality undefined or even multi-meaning as values?

█ Isn't real life not some of those equations / they don't always exist that way but we only use and think of it like that as a language which might be highly erroneous in the human sense of looking at things; subjecting / objectifying them?

Thoughts welcome!