Is it farther or further?
early 14c., from Old French predicacion (12c.) and directly from Medieval Latin predicationem, from Latin praedicationem (nominative praedicatio) "a foretelling, prediction," noun of action from past participle stem of praedicare (see predicate (n.)).
mid-15c., a term in logic, from Middle French predicat and directly from Medieval Latin predicatum, from Latin praedicatum "that which is said of the subject," noun use of neuter past participle of praedicare "assert, proclaim, declare publicly," from prae- "forth, before" (see pre-) + dicare "proclaim," from stem of dicere "to speak, to say" (see diction). Grammatical sense is from 1630s. Related: Predicative; predicator; predicatory.
1887, from Latin praedicatus, past participle of praedicare "proclaim, announce" (see predicate (n.)).
1550s, back formation from predication, or else from Latin praedicatus, past participle of praedicare "proclaim, announce" (see predicate (n.)). Related: Predicated; predicating. Phrase predicated on "founded on, based on," is American English, first recorded 1766.
in logic, the attributing of characteristics to a subject to produce a meaningful statement combining verbal and nominal elements. Thus, a characteristic such as "warm" (conventionally symbolized by a capital letter W) may be predicated of some singular subject, for example, a dish-symbolized by a small letter d, often called the "argument." The resulting statement is "This dish is warm"; i.e., Wd. Using ~ to symbolize "not," the denial ~Wd can also be predicated. If that of which "warm" is predicated is indefinite, a blank may be left for the predicate, W-, or the variable x may be employed, Wx, thus producing the propositional function "x is warm" instead of a definite proposition. By quantifying the function by (x), meaning "For every x . . . ," or by (x), meaning "There is an x such that . . . ," it is transformed into a proposition again, either general or particular instead of singular, which predicates warmness (or its negation) of several or many subjects of a kind. The predication is identical if it characterizes every referent (x); it is disparate if it fails to characterize some or all of the referents. The predication is formal if the subject necessarily entails (or excludes) the predicate; it is material if the entailment is contingent