You just described a philosophical premise you accept as true.

I repeat: I only accept reproducible experiments and hard objective evidence as true. That is not a philosophical premise.
And to further specify, "true" = "verifiable fact" in my lexicon. I don't believe in "truth".
Everything that cannot be reproduced in experiments or classified with hard objective evidence is either opinion, musings, dreams, or something else non-objective - and the opposite of objective is subjective.

Now, if you somehow measure Kant's Transcendental Arguments in a laboratory and perform experiments on it to show me how it's measured in Kantians or whatever scientific measurement would be used for that, I'll pay attention to it.