a posteriori

[ey po-steer-ee-awr-ahy, -ohr-ahy, -awr-ee, -ohr-ee] /ˌeɪ pɒˌstɪər iˈɔr aɪ, -ˈoʊr aɪ, -ˈɔr i, -ˈoʊr i/
adjective
1.
from particular instances to a general principle or law; based upon actual observation or upon experimental data:
an a posteriori argument that derives the theory from the evidence.
Compare a priori (def 1).
2.
not existing in the mind prior to or independent of experience.
Compare a priori (def 2).
Origin
1615-25; < Latin: literally, from the one behind. See a-4, posterior
Can be confused
British Dictionary definitions for a posteriori

a posteriori

/eɪ pɒsˌtɛrɪˈɔːraɪ; -rɪ; ɑː/
adjective (logic)
1.
relating to or involving inductive reasoning from particular facts or effects to a general principle
2.
derived from or requiring evidence for its validation or support; empirical; open to revision
3.
(statistics) See posterior probability
Compare a priori, synthetic (sense 4)
Word Origin
C18: from Latin, literally: from the latter (that is, from effect to cause)
Word Origin and History for a posteriori

Latin, literally "from what comes after" (see posterior).