The scientific method does work. People are bad at applying it. (I include myself there). That's why science is done as a community.
Let's talk about the luminiferous aether. Or the caloric fluid theory. Or how high-atmosphere lightning doesn't exist. Or Newton's laws. Or if we want to get
really spicy, Lysenkoism.
The scientific method(s) do work--imperfectly. They help. I have never
and would never say otherwise. As I've said,
this is literally my chosen career.
I just recognize that this method is not the shining beacon of 100% perfection people wish it was. That scientists are
people, part of a
society that makes choices for reasons other than the austere and dispassionate search for unvarnished truth. That science is a social activity, and thus subject to
some limitations which can cloud its vision at times. And, as I have said, that it is not the one and only path to truth.
There are truths that
cannot even in principle be reached purely by measuring and counting. But that is all science can do; that's literally what empirical study is. Hence, there is also more. Admitting this is not a slight against science. It is the frank admission that science is an essential
part of our search for truth, but not the
one and only thing allowed to produce truth.
The fact that I have roused
so much suspicion and interrogation merely by saying this, all while taking every possible opportunity to emphasize how important science is and always will be? Yeah, kiiiiiinda making my point about the way STEM folks get angry when you merely point out that the humanities actually matter, actually do uncover and generate real truths, in ways that science simply cannot do because they are different tools for different purposes.
Do you think it is possible to prove whether or not Plato himself wrote it?
Within a reasonable degree of doubt, sure.
Is it possible to prove to you that quarks exist? I know the science on this specific subject. You
can't observe bare quarks in the current universe; the weirdness of the strong force prevents it. It isn't hot enough anymore. Yet I assume you accept that they do exist, even though theory says you
literally can't observe them, and no observation of quarks themselves has ever been made.