a posteriori

adjectives

involving reasoning from facts or particulars to general principles or from effects to causes
"a posteriori demonstration"
antonym
see also
of a proposition whose truth value is determined by observation or facts
"`all men are arrogant' is a synthetic proposition"
see also
of reasoning; proceeding from particular facts to a general conclusion
"inductive reasoning"
requiring evidence for validation or support
is similar to
derived from experiment and observation rather than theory
"an empirical basis for an ethical theory"; "empirical laws"; "empirical data"; "an empirical treatment of a disease about which little is known"

adverbs

derived from observed facts
antonym