When is the last time you reproduced the results of your theory about the cosmos gravity in a laboratory?
I remember back in University, when we went through the stellar nucleosynthesis. The Sun basically doesn't work if gravity is somehow 'variable'.
Do you understand that if you cannot reproduce the conditions in a laboratory for a layperson to test, it is just philosophy? "Must," "wrong," "falsifiability," etc. are meaningless until you can recreate the solar system, test your theory, and provide laboratory results so clear so that a layperson can follow your exact scientific process and produce the same results. Anything else is just as much conjecture as you accuse me of having.
Yea, that's not how science works. Forensic scientists don't need to go out and murder someone to test their hypotheses about who the murderer is, and astrophysicists don't need to recreate the solar system to test a hypothesis about it.
In science, if we propose a hypothesis about the universe, we can test that hypothesis by making a testable prediction, and going out and testing it. We could calculate the solar output of various stars under the assumption that gravity operates uniformly (this uniformity is feature in all physical laws, not just gravity). This can be done, and we can calculate the Sun's solar output - and it works.
And as I said, these calculations aren't pulled from thin air. The inverse square law is a common feature in physics, and arises whenever the change in one variable with respect to another is proportional to that second variable. If gravity
was variable, the further away from Earth we look, stars simply wouldn't work.
More generally, we simply only need to tests General Relativity to experimentally verify our understanding of gravity. One of the first experimental verifications of Relativity was the ability to correctly explain the precession of the perihelion of Mercury.
You are missing my point. One answer for f(x) is a scalar, the other is a function - specifically a limit. The point was to illustrate that two different answers can make the math work, but doesn't necessarily make it the unique solution. If I said "only a scalar can satisfy the equation of 2 + f(x) = 4," then f(x) = 2 would be the unique solution, even though f(x) = limx-->∞[(2x-4)/(x-3)] satisfies the equation. Also, remember a limit is not an "equals to." Rather, it is a local area value for a function at the given limit. It is erroneous to say that f(x) = limx-->∞[(2x-4)/(x-3)] is 2 because it equals 2. Rather, its limit is equal to 2. The two are not the same. One is an equality, the other is a limit. Plain and simple.
You don't seem to understand what limits are. To say "lim[sub]x-->0[/sub] [(2x-4/(x-3)]" is to talk about the limit. That limit
is two. It is numerically equivalent to two. They're two different ways of writing the same quantity.
It's trivial that different mathematical terms can be equivalent - the very existence of the equality relation testifies to that.
Since infinity is undefined, you cannot define the polynomial in the limit, only its limit. So, my point still stands.
The truth is you do not know how gravity works in the cosmos because you cannot reproduce the cosmos in the laboratory (even though there are a plethora of theories asserting themselves as fact[oid].) You may be able to detect effects, but the assumption is still that things remain proportional with earth forces. Gravity is, and will always be an inverse square law since "our math on earth" shows it to be (I am well aware of the derivations.)
Given the paucity of correct statements you've made about the nature of science and experimentation, and even simply mathematical concepts, somehow I doubt you've gone through and understood the derivation of Einstein's field equations.
The difference between philosophy and "science" is the ability to reproduce the experiment in a lab so much so that a layperson can follow your lab notes and come up with the same results. Cosmology skips this step. I would love to see a reproduction of the solar system on earth (with sun, planets, moons, and elliptical objects.) Otherwise, we are just having philosophical debate, which is fine with me.
Again, you don't seem to understand the difference between science and philosophy. Science has nothing to do with the layperson - if they can't understand your lab notes, then tough. Science doesn't magically turn into philosophy when someone scientifically illiterate comes along.
According to you,
Harry Potter constitutes philosophy, as you cannot reproduce it's claims in a lab. What nonsense!
And, again, you don't really understand how scientific falsifiability works if you think scientists need to rebuild the entire solar system