This may be the preferred method of performing science (and rightly so), but it is not the preferred way of determining truth, as you assert. What you are describing here is Logical Positivism, which I would bet is the opposite of what you actually believe:
“Their (Logical Positivism’s) principle of verification meant that only propositions concerned with matters of empirically-verifiable fact (‘It is still raining’), or the logical relationship between concepts (‘A downpour is heavier than a shower’) are meaningful. Propositions that fall into neither of these camps fail to satisfy the principle, they argued, and consequently lack sense. It follows, therefore, that the propositions of ethics, aesthetics, and religion, are meaningless nonsense. The same would be said for any proposition that expressed a judgement of value as distinct from propositions solely concerned with facts.”
i stole the above from a good little article about Logical Positivism, Wittgenstein, and Tolstoy’s “The Gospel in Brief”
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Many people today consider science to be a search for truth. It is not, however, because the scientific principles, rigorously applied in this argument, show that a physical reality is a bad hypothesis to begin with. But science CAN organize and explain what we observe in real life. Its still REAL even if it isn’t physical.
I think you may be attacking a straw man here. You are going to have to go into a specific example. I’m not sure I hold the views you think I do. For example: I am a fully in the Divine Command Theory camp. I don’t think that anything comes from outside of experience… after all, if it affects you, then you are experiencing its effects. (You don’t have to be conscious of it for this to be true).
I’m not sure where you would want to reject Logical Positivism, unless you were convinced that something you wished to believe could never be proven or shown to be likely by logic. That seems defeatist to me, although I probably would identify more with logical empiricism.