Newtons first law

How did newton come up with the f=ma equation? Expetimentation, mathematical deduction or did he just define force that way?

Why don't you ask him? He might have AMA on Reddit someday.

"A newton (N) is the international unit of measure for force"

If I had to guess he just defined it...

Welp, "Some concept is described by those elements whose change also directly affects the change in the magnitude of the concept itself." is what a high me wrote apparently.

Not trying to be smug or anything, I just hope I'm right because I was breaking my head with physics equations and why they are what they are until not too far away from now... after this "realization" I sort of just let go and accepted it.

Which are the most reddit scientists?
Actual scientists I mean not black science man etc.

That's his second law.

Shit, is this master Yoda behind the keyboard?

He defined all three terms, by fiat, early in the Principia. Which is what a good textbook should do. His definitions came to be accepted to because they produce results which seem to apply usefully in the real world.

The only ambiguity was that he had to assume inertial mass (which is what's in F=mA) was the same as gravitational mass (F=GmM/R^2) because this makes all objects fall with the same acceleration. The equality couldn't be justified except that "it works" until Einstein.

My professor said that no matter how you try you will never derive Newton's equations, you can think them as given by god.

Maybe that's how he really got them.

Maybe they're underivable because they're what the physics is built upon? It can't be a magical circle, right? It has to begin somewhere. idek