We all have our own interpretation of what “the scientific method” is, but there’s always at least one thing that they all have in common: the ultimate arbiter of whether a theory or idea is valid depends on the evidence that comes back from physically observable phenomena.
But not everyone necessarily agrees with this in the way we commonly understand it. Sabine Hossenfelder has some fantastic thoughts analyzing and synthesizing a variety of viewpoints, laying the hammer down with a sweeping statement:
You can thus never arrive at a theory that describes our universe without taking into account observations, period. The attempt to reduce axioms too much just leads to a whole “multiverse” of predictions, most of which don’t describe anything we will ever see.