I can read. Observation/experiment/testing is designed to find whether a thing is or may be true or false. Observation can also tell us things like "X percentage of Y group is Z". Both these observations accept FIRST that math is "real" and logic is "real". Do you disagree?
Are you illiterate or something?
I have stated again, again, again and again...and again, that it is the evidences that determine if any testable hypothesis or theory is true or false, and not math and logic.
Yes, the math and logic can complement with the evidences, but they never overrule the evidences.
It is the “verifiable evidences” that determine if explanation/predictions from the theory are “factual”, not the maths.
Without the evidences, any model isn’t “scientific theory”, it isn’t science.
You can pour all the maths in world into a single model and it might work mathematically, but if (A) it cannot be tested or (B) the evidences are contrary to the model, then the model has been debunked or fall in the realm of theoretical science.
Fields in theoretical science relied mostly on maths (proofs) and logic, but they failed in the evidence department, so it isn’t really science.
Theoretical physics, like String Theory, Superstring Theory, etc, may use the word “theory” as part of their name, but they are not accepted “scientific theory”, they are merely proposed explanations and proposed models.
Some theories, like Einstein’s Relativity may have started theoretically, with some maths and logical explanations, but it was when scientists were able to obtain observatory evidences, that verified General Relativity to be true, not the maths.
I am not saying that maths and logic should be ditched, because they can be useful and can have applications, like engineering, for examples, but it is always evidences that determine what is true or factual, or what is false and refutable.