Logarithm, log′a-rithm, n. (of a number) the power to which another given number must be raised in order that it may equal the former number: one of a series of numbers having a certain relation to the series of natural numbers by means of which many arithmetical operations are simplified.—adjs. Logarith′mic, -al, pertaining to, or consisting of, logarithms.—adv. Logarith′mically. [Gr. logos, ratio, arithmos, number.]

Loggia, loj′a, n. an open arcade enclosing a passage or open apartment, common in Italy:—pl. Logg′ie (-e). [It.; cf. Lodge.]

Logia, log′i-a, n.pl. oracles, sayings, a supposed primitive collection of the sayings and discourses of Jesus, largely drawn upon by the writers of the first and third gospels for much of what they have in common with each other apart from Mark. [Gr.]

Logic, loj′ik, n. the science and art of reasoning correctly: the science of the necessary laws of thought.—adj. Log′ical, according to the rules of logic: skilled in logic: discriminating.—ns. Logical′ity, Log′icalness.—adv. Log′ically.—n. Logic′ian, one skilled in logic.—v.i. Log′icise, to argue.—Chop logic (see Chop); Deductive logic, logic independent of probability or quantitative considerations; Formal logic, logic regarded as a distinct science, independent of matters of fact; Inductive logic, the logic of scientific reasoning; Material logic, logic which takes into account natural fact or phenomena, as distinct from formal logic; Natural logic, the natural faculty of distinguishing the true from the false: the logical doctrine applicable to natural things as opposed to the logic of faith; Pure logic, the general laws of thought. [Gr. logikē, from logos, speech.]

Logistic, -al, loj-is′tik, -al, adj. skilled in calculating: proportional.—n. Logis′tic, the art of calculation, sexagesimal arithmetic: (pl.) that branch of military science relating to the movement and supplying of armies. [Gr. logistēs, a calculator—logizesthai, to compute.]

Logodædaly, log-o-dē′da-li, n. verbal legerdemain.

Logogram, log′o-gram, n. a sign which represents a word: a puzzle in which from an original word, by combinations of all or some of its letters, other words are formed, which again are concealed under synonymous expressions in a series of verses. [Gr. logos, word, gramma, letter.]

Logographer, lo-gog′ra-fėr, n. in Greek literature, one of the earliest annalists, esp. those before Herodotus.—adjs. Logograph′ic, -al.—adv. Logograph′ically.—ns. Logog′raphy, a method of printing with whole words cast in a single type; Log′otype, a type containing two or more letters. [Gr.,—logos, word, graphein, to write.]

Logogriph, log′ō-grif, n. a riddle. [Gr. logos, word, griphos, a riddle.]

Logomachy, lo-gom′a-ki, n. contention about words or in words merely.—n. Logom′achist. [Gr. logomachialogos, word, machē, fight.]