>>11942596What matters on philosophical grounds is what would change another person's beliefs.
It's hard to see how two people with different background assumptions with no impact on day to day scientific theorizing and testing could make arguments that would be persuasive at the philosophical level.
At the practical level, belief change varies with testable evidence.
At the metatheory level, it is unclear how one could ever persuade a person to change non-testable axiomatic beliefs.
And so while you may rest assured that your metatheory is unassailable, you cannot easily convert others if they don't already agree.
For example, if I believe that the universe is infinite, and you believe it appeared from nothing, it's not like we can appeal to evidence to persuade the other person they are wrong. The debate becomes a matter of aesthetics.