James Lee77 said:But wait, did natural laws actually start that way? Like, did Newton invent his laws or just discover them? Are the laws of physics actually objective things? And I wonder, are these laws fundamentally mathematical, or could they be expressed without math? Could Newton's law of gravity even be explained without using equations?
So, did natural laws start out like that?
Natural laws—like gravity, specifically—didn't just pop into existence once someone noticed them. Humans observe stuff and then expand our knowledge base. A couple thousand years ago, people didn't have a specific name for the law of gravity, but apples were still falling from trees regardless... I can dive deeper into how Newton actually hit upon the idea for the law of gravity a bit later...
It feels like you might be missing the distinction between a concrete abstraction (something directly perceived—like a "dog") and a complex abstraction (built from those basic ones—like a "government"). The whole point of an abstraction is to describe something (anything) within objective reality. Unfortunately, some abstractions don't relate to reality at all (the concept of "God" is the first thing that comes to mind there), but hey, humans mess up sometimes, so no biggie.
But seriously, could you be walking with a buddy, stop dead in your tracks, and say, "Hey, look, the law of gravity—let's grab it and take it home to study"?
I really hope not 🙂
The thing is, you arrive at the law of gravity through a process where, say, your parents first taught you simple words like nose, ear, dad, mom, tree, car. After mastering those basic abstractions, you go to elementary school and learn more complex ones like time, velocity, etc. Only after learning all that could you ever reach the realization of what the law of gravity actually is.
You're asking if Newton invented that law or discovered it. First, there had to be something existing (like an apple falling from a tree) for Newton to notice (which you'd call discovering), and the second step is Newton—or anyone else—inventing the word to label what they observed.
No matter how you phrase Newton's law of gravity, it’s going to be expressed as a complex abstraction.
Newton used abstractions to explain the phenomenon he observed (the law of gravity). Otherwise, he wouldn't have been able to explain the phenomenon to anyone else, or even to himself. Without that, the "law of gravity" (that abstraction) wouldn't exist, but the apple would still be falling from the tree, just like it did before Newton.
A few quick points:
Are the laws of physics objective?
Not really—they don't "exist" in a vacuum; they are definitions that describe a certain part of reality (acting as complex abstractions), while reality itself is what's objective.
Are these laws inherently mathematical, or could they be expressed non-mathematically? Could Newton's law of gravity be stated without math?
I'm no expert in math or physics (if you haven't noticed), but I actually have some interesting audio lectures queued up that I'll probably listen to over the next few days. I might circle back to this post and these questions after that. If you're interested, check out this link:
Two, three, four and all that.
To wrap things up and stay on track...
What I was trying to point out is the principle behind how we reach new concepts—the difference between concrete abstractions (directly perceived) and complex abstractions (built from the concrete ones). Basically, I wanted to explain how humans acquire knowledge and how that knowledge ties back to objective reality. I also wanted to highlight how pointless it is to ask if "something" existed before humans came up with a word for it (an abstraction).
Just a quick heads-up—the whole point was whether the equator (or Pi) actually existed before we "invented" it—you know, created the abstraction—so please read my answers through that lens... otherwise, the whole debate won't even make sense 😉