Not based on any empirical evidence; faith-driven(adjective)
Not relying directly on data; theory-driven(adjective)
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Use "nonempirical" in a sentence
"It's hard to tell whether the author of the post at Prosthesis thinks "nonempirical" factors in theory selection are bad for science, but it's clear that he/she thinks they are unavoidable."
"Their culture, which dismisses science, is often nonempirical."
"He recalls that in all interventions he took the radical positivist line that science is the basis of knowledge; that it is empirical; and that nonempirical enterprises are either logic or nonsense (p. 68)."