Metis, you are convinced that science is presenting you with "overwhelming evidence", but by their own admission, nothing in science is provable. "Confirmation", when it is provided by a biased source, is not the same as proof.
That's because you don't bloody well understand the differences between proof and evidence, as use in science.
Evidences are objective indicators of what is true, false...or the 3rd option, "inconclusive". This is where a theory is testable, measurable or quantifiable, hence it has everything to do with observation. If it is not testable, it isn't science.
Proofs are simply mathematical statements, like mathematical equations. Proof, alone, doesn't show the theory to be true or false, because it is base on man's logic.
The differences between evidence and proof is that evidence is used by scientists and proof is used by mathematicians.
There are always some mathematical equations (proofs) in scientific theories, but is more important in science to have evidences than it is too have proofs.
When a scientist presents an explanation that are not testable (no evidence), but can show complex mathematical equations being "solved" or "provened", this is usually denote as "theoretical" theory.
If you heard of theoretical physics, then you would know that these types of physics, use maths, not evidences, to prove their solution. I am sure you have heard of String Theory, Superstring Theory, M-theory, Multiverse theory; these are all theoretical physics, relying on mathematical solutions (proofs), not testable, therefore not "scientific" theories.
Looking at superstring theory, as an example. There are number of competing research scientists working on different versions of this "theoretical" theory. Each has their own versions of mathematical solutions. None of these theories are testable. With this in mind, how does one show his or her solution to be true, when it is not testable?
Now, I couldn't begin to understand any of these advanced mathematics found in superstring theory, but each one (or each version) is based one (or more scientists, if they are working in a group or team), is based on his or her logic. The problem here with relying on theoretical physicist's logic, is that each one one is heavily invested in his or her own solution (or version), therefore it is possible for one scientist being "biased".
With empirical science, you don't rely on ONE scientist's logic alone...no, you would rely on evidences, not proof to reach a solution.
When they are talking about "absolute proof", they are talking about mathematical solutions; they are not talking about empirical and verifiable evidences.
Absolute proofs are for mathematical world, not in real-life scientific world.
Relativity and Quantum Mechanics used to be purely "theoretical", but since the found the first of many evidences, they are no longer classified as being "theoretical physics".
The Big Bang cosmology, is actually a theory on expanding universe, is no longer purely theoretical, when they are able to observe the galaxies moving away from each other, known as "redshifting". However, part of the Big Bang theory is still hypothetical or theoretical, because the scientists can only observe the "observable universe". Meaning everything before the Recombination epoch (377,000 years after the Big Bang or the start of universe expansion), the earlier epochs are unobservable, therefore still hypothetical or theoretical.
Charles Darwin's Natural Selection has never been theoretical, because he found evidences beforehand, long before he had written his published book, On The Origin Of Species (1859).
His travel journal and notes, which he had meticulously recorded his journey on HMS Beagle, during 1830s, where he traveled the world, recording not just animal wildlife, but also botany and geology. Biologists can easily retrace his voyage and observed what Darwin had observed, so Natural Selection is not "theoretical".
Of course, Darwin's original theory (Natural Selection) has been updated, because biologists have better technology, being able to test DNA and map out the genome of virtually every plants and animals. New tools help biologists in their fields.
Darwin's original framework on evolution is still valid, even today, but since his death, other evolutionary mechanisms (mutation, gene flow, genetic drift, genetic hitchhiking) have been discovered, as alternatives to natural selection.
Without evolution, biologists wouldn't be able to develop vaccines and antibiotics to fight viral or bacterial diseases.
Once any scientist can test his theory or hypothesis, and repeatedly and rigorously test it, and independent scientists can also test this theory or hypothesis (hence "peer review") and the test results verify it is true, then it never "theoretical".
You are confusing evidence with proof, that's why creationists, like yourself, don't understand science.
So whenever you hear news or documentaries, or read books, articles or papers that say science rely on evidences, not on proving proof, they are saying they are not relying on maths alone.
It is test or evidence that objectively indicates what is true or false, not proof (mathematical solution).