Beginning with your last point first, I will quote Einstein’s objection to the Copenhagen interpretation of quantum mechanics: “God does not play dice with the universe.” Members of the Copenhagen school were immersed in the psuedo-epistemology of Kantian idealism, through which they interpreted quantum events. The principle of indeterminancy claims that what cannot be measured exactly does not occur exactly. This is a crass failure in elementary logic. The Copenhagen school turned an operational principle into an ontological principle. The fallacy is so glaring, a number of modern physicists are beginning to think Einstein was right. In short, in addition to being self-contradictory, irreducible uncaused randomness is a metaphysical impossibility.
You said “I don’t really understand how a philosophical reflection on the created world is going to help much.” But you fail to realize the Copenhagen interpretation of quantum events is a philosophically driven interpretation of the created world–an interpretation based, though, on a flawed philosophy of idealism.
Science studies phenomenal reality, matter as quantifiable and its relations. While science studies the causes of observable events, it does not study causality in itself.
Metaphysics, or first philosophy studies *being itself *in its ultimates causes. While the natural sciences have an overlapping material object, i.e. subject matter, they differ in their *formal object, *i.e. the aspect under which the material object is studied. The formal object of philosophy are the highest or ultimate causes of natural things. The formal object of the particular sciences are the secondary causes of natural things.
To claim that the difference between philosophy and science is merely linguistic is confuse and conflate two very different, but complementary ways of knowing reality.
Most scientists today have accepted the Copenhagen interpretation after experimental confirmation was found for Bell’s Theorem, the proof for which has never been refuted anyway, and it is not physically possible for a hidden parameter to exist while preserving special relativity. Other interpretations - such as David Bohm’s - have both compromised relativity and pushed physics into a New Age direction, neither of which physicists as a whole are comfortable with.
You are correct that the Copenhagen interpretation is not a formal epistemological proof; that is, is an “interpretation” and not a theorem. (By the way, it’s based on the materialist school of logical positivism, by the way, not idealism or even Kantian conceptualism, which is an entirely different thing than idealism - Kant was quite vocal in his objections to Fichte’s idealist misinterpretation of his philosophy.) Most physics doesn’t proceed through theorems and the sort of rigorous proofs the way philosophers want. We aim for a whole lot less than absolute certainty
right away, and our patience pays off - look at the wealth of knowledge we’ve gained working through this method. There isn’t any “crass failure in elementary logic” because no proof was intended, until we got to Bell’s Theorem (which has a different line of reasoning entirely). It just so happens that our probably opinion turned out to be right, and the fact that things do not exist “exactly” (in your words) is the
cause for their not being able to be measured exactly.
And now I will take issue with your statement that the Copenhagen interpretation claims that things do not exist exactly. That is false. The integral of any normalized wavefunction is always 1. To phrase that less mathematically, if you sum up the probability of finding a particle at each point in space over the whole universe, the probability of finding the particle is 1 - you are certain to find the particle somewhere. It therefore certainly exists exactly, though where it exists or what its momentum is remain unknown.
When we speak of particles being “waves”, we mean that they behave as if they were waves described by the wavefunction of a particle. The wavefunction squared is the
probability of finding the particle, the area of which over all of space is going to be 1. (More precisely, the wavefunction times its complex conjugate is the probability, which amounts to the same thing for real functions - though most wavefunctions are complex.)
We know from the Heisenberg Uncertainty Principle (HUP) that it is impossible to measure both the momentum (which is like the speed or like the energy) and the position of a particle at the same time with a certainty greater than a specific value. The Copenhagen interpretation asserts that this is because both properties are not in fact
ontologically well-defined at the same time. If you know the momentum of a particle, you cannot predict the path that it is going to take because there
is no causal reason for the place where it happens to be next. Hence its position can only be described through a probabilistic wavefunction - but the integral of a normalized wavefunction is always 1, so it
does exist “exactly”.
Perhaps the confusion lies in the pronoun, when you say that “it” does not exist exactly. It properties (mass-energy and position) cannot be measured exactly because they do not coincide exactly; the particle itself
does exist exactly in the Copenhagen interpretation. The probability of finding the particle is always going to be either 1 or 0 - it either exists or it doesn’t.