Etymology
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pacifism (n.)

"policy or doctrine of rejecting war and violence in solving disputes," especially in international affairs, 1902, from French pacifisme (1901), which was apparently coined by French anti-war writer Émile Arnaud (1864-1921), from pacifique (see pacific).

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resolution (n.)

late 14c., resolucioun, "a breaking or reducing into parts; process of breaking up, dissolution," from Old French resolution (14c.) and directly from Latin resolutionem (nominative resolutio) "process of reducing things into simpler forms," noun of action from past participle stem of resolvere "to loosen" (see resolve (v.)).

From the notion of "process of resolving or reducing a non-material thing into simpler forms" (late 14c.) as a method of problem-solving comes the sense of "a solving" (as of mathematical problems), recorded by 1540s, as is that of "power of holding firmly, character of acting with a fixed purpose" (compare resolute (adj.)). The meaning "steadfastness of purpose" is by 1580s. The meaning "effect of an optical instrument in rendering component parts of objects distinguishable" is by 1860. In Middle English it also could mean "a paraphrase" (as a breaking up and rearranging of a text or translation). 

In mid-15c. it also meant "frame of mind," often implying a pious or moral determination. By 1580s as "a statement upon some matter;" hence "formal decision or expression of a meeting or assembly," c. 1600. New Year's resolution in reference to a specific intention to better oneself is from at least the 1780s, and through 19c. they generally were of a pious nature.

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solve (v.)

late 14c., solven, "to disperse, dissipate, loosen," from Latin solvere "to loosen, dissolve; untie, release, detach; depart; unlock; scatter; dismiss; accomplish, fulfill; explain; remove," from PIE *se-lu-, from reflexive pronoun *s(w)e- (see idiom) + root *leu- "to loosen, divide, cut apart."

In Middle English especially in medicine, "dissolve a substance in a liquid" (early 15c.). The meaning "explain, clear up, answer" is attested from 1530s. The mathematical sense of "work out the answer to a problem" is attested by 1737. Related: Solved; solving.

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Oedipus 

son of Laius and Jocasta, the king and queen of Thebes, from Greek Oidipous, literally "swollen-foot," from oidan "to swell" (from PIE *oid-; see edema) + pous (genitive podos) "foot," from PIE root *ped- "foot." Shelley titled his play based on Sophocles' work "Swellfoot the Tyrant." Oedipus complex (1910) was coined by Freud. In Latin, figurative references to Oedipus generally referred to solving riddles. Oedipus effect (1957) is Karl Popper's term for "the self-fulfilling nature of prophecies or predictions."

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riddle (n.1)

"A word game or joke, comprising a question or statement couched in deliberately puzzling terms, propounded for solving by the hearer/reader using clues embedded within that wording" [Oxford Dictionary of English Folklore], early 13c., redels, from Old English rædels "riddle; counsel; conjecture; imagination; discussion," common Germanic (Old Frisian riedsal "riddle," Old Saxon radisli, Middle Dutch raetsel, Dutch raadsel, Old High German radisle, German Rätsel "riddle").

The first element is from Proto-Germanic *redaz- (from PIE *re-dh-, from root *re- "to reason, count"). The ending is Old English noun suffix -els, the -s of which later was mistaken for a plural affix and stripped off in early Modern English. The meaning "anything which puzzles or perplexes" is from late 14c.

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algebra (n.)

"formal mathematics; the analysis of equations; the art of reasoning about quantitative relations by the aid of a compact and highly systematized notation," 1550s, from Medieval Latin algebra, from Arabic "al-mukhtasar fi hisab al-jabr wa al-muqabala" ("the compendium on calculation by restoring and balancing"), the title of the famous 9c. treatise on equations by Baghdad mathematician Abu Ja'far Muhammad ibn Musa al-Khwarizmi. Arabic al jabr ("in vulgar pronunciation, al-jebr" [Klein]) "reunion of broken parts" (reducing fractions to integers in computation) was one of the two preparatory steps to solving algebraic equations; it is from Arabic jabara "reintegrate, reunite, consolidate." Al-Khwarizmi's book (translated into Latin in 12c.) also introduced Arabic numerals to the West. John Dee (16c.) calls it algiebar and almachabel. The accent shifted 17c. from second syllable to first.

The same word was used in English 15c.-16c. to mean "bone-setting," as was Medieval Latin algebra, a usage picked up probably from Arab medical men in Spain.

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