Mathematically, no, it does not. We make up the definitions. If you wanted to see what the consequences of a, I don’t know, 5-dimensional universe with Pi set to 5.65 were, you can do that. These are scribbles on pages, there is literally nothing stopping you.
Academically, what’s stopping you is whether these calculations are useful. The only problem I see here is that it’s kind of misleading to imply to someone that Pi is something it conventionally isn’t. But even then, I think I’d respect the mathematician who could recognize Pi as a symbolic name for, usually, one particular transcendental constant a little bit more than one who refused to even entertain the idea. Like, imagination is important to mathematics, too.
And to be clear, “let Pi = 3.14” is also incorrect. It is closer than 5, but it is still infinitely wrong.
gimpchrist@lemmy.world 5 months ago
nyctre@lemmy.world 5 months ago
Well, let me put it another way. You don’t need to have an opinion on everything. It’s okay to not understand something and not have an opinion on it.
gimpchrist@lemmy.world 5 months ago
I’m dyscalculic… I’m allowed to have an opinion on it this is how my brain works