health (n.)

1660s, "state of being unmarried, voluntary abstention from marriage," formed in English from abstract noun suffix -cy + Latin caelibatus "state of being unmarried," from caelebs "unmarried," a word of uncertain origin. Perhaps it is from PIE *kaiwelo- "alone" + lib(h)s- "living." De Vaan suggests as an alternative PIE *kehi-lo- "whole," which would relate it to health (q.v.): "[I]f this developed to 'unboundness, celibacy', it may explain the meaning 'unmarried' of caelebs-."

Originally and through the 19c. celibacy was opposed to marriage, and celibacy, except as a religious vow, often was frowned upon as leading to (or being an excuse for) sexual indulgence and debauchery among bachelors. By 1950s it was being used sometimes in a sense of "voluntary abstinence from sexuality," without reference to marriage.

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, compare belief. It has been 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).