Etymology
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reliability (n.)

"state or quality of being reliable," 1816, Coleridge, from reliable + -ity. In statistics, by 1910.

[Coleridge] evades the only charge brought against [Southey], by repelling one not brought against him, except by his Antijacobin patrons—and answers for his friend, as if he was playing at cross-purposes. Some people say, that Mr Southey has deserted the cause of liberty : Mr Coleridge tells us, that he has not separated from his wife. They say, that he has changed his opinions : Mr Coleridge says, that he keeps his appointments ; and has even invented a new word, reliability, to express his exemplariness in this particular. [from a review of "Biographia Literaria" in Edinburgh Review, August 1817]
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manly (adj.)

c. 1200, "human; characteristic of human beings," also "possessing virtues proper to a male person" (resoluteness, independence, steadfastness, reliability); from man (n.) + -ly (1). Meaning "masculine, not boyish or womanish, proper to fighting men" is attested from late 14c. Old English had werlic "male, masculine, manly."

Manly, matching womanly, is the word into which have been gathered the highest conceptions of what is noble in man or worthy of his manhood, especially as opposed to which is fawning or underhand. Manful expresses the stanchness, fearlessness, and energy of a man, as opposed to that which is weak, cowardly, or supine. [Century Dictionary, 1895]
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trust (n.)
c. 1200, "reliance on the veracity, integrity, or other virtues of someone or something; religious faith," from Old Norse traust "help, confidence, protection, support," from Proto-Germanic abstract noun *traustam (source also of Old Frisian trast, Dutch troost "comfort, consolation," Old High German trost "trust, fidelity," German Trost "comfort, consolation," Gothic trausti "agreement, alliance"), from Proto-Germanic *treuwaz, source of Old English treowian "to believe, trust," and treowe "faithful, trusty," from PIE root *deru- "be firm, solid, steadfast."

from c. 1300 as "reliability, trustworthiness; trustiness, fidelity, faithfulness;" from late 14c. as "confident expectation" and "that on which one relies." From early 15c. in legal sense of "confidence placed in a one who holds or enjoys the use of property entrusted to him by its legal owner;" mid-15c. as "condition of being legally entrusted." Meaning "businesses organized to reduce competition" is recorded from 1877. Trust-buster is recorded from 1903.
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faith (n.)
Origin and meaning of faith

mid-13c., faith, feith, fei, fai "faithfulness to a trust or promise; loyalty to a person; honesty, truthfulness," from Anglo-French and Old French feid, foi "faith, belief, trust, confidence; pledge" (11c.), from Latin fides "trust, faith, confidence, reliance, credence, belief," from root of fidere "to trust,"from PIE root *bheidh- "to trust, confide, persuade." For sense evolution, see belief. Accommodated to other English abstract nouns in -th (truth, health, etc.).

From early 14c. as "assent of the mind to the truth of a statement for which there is incomplete evidence," especially "belief in religious matters" (matched with hope and charity). Since mid-14c. in reference to the Christian church or religion; from late 14c. in reference to any religious persuasion.

And faith is neither the submission of the reason, nor is it the acceptance, simply and absolutely upon testimony, of what reason cannot reach. Faith is: the being able to cleave to a power of goodness appealing to our higher and real self, not to our lower and apparent self. [Matthew Arnold, "Literature & Dogma," 1873]

From late 14c. as "confidence in a person or thing with reference to truthfulness or reliability," also "fidelity of one spouse to another." Also in Middle English "a sworn oath," hence its frequent use in Middle English oaths and asseverations (par ma fay, mid-13c.; bi my fay, c. 1300).

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