different between complacence vs completeness

English

Etymology

From mediaeval Latin complacentia, from Latin complace? (“please”).

Pronunciation

• IPA^(key): /k?m?ple?s?ns/

Noun

complacence (countable and uncountable, plural complacences)

1. (archaic) Being complacent; a feeling of contentment or satisfaction; complacency.
   • May 30, 1703, Francis Atterbury, a sermon

     The inward complacence we find in acting reasonably and virtuously.

2. (obsolete) Pleasure, delight.
3. (obsolete) Complaisance; a willingness to comply with others' wishes.
   • 1749, Henry Fielding, Tom Jones, Folio Society 1973, pp. 33–34:

     He told his sister, if she pleased, the new-born infant should be bred up together with little Tommy; to which she consented, though with some little reluctance: for she had truly a great complacence for her brother [...].

Synonyms

• self-complacency
• self-satisfaction

English

Etymology

complete +? -ness

Noun

completeness (usually uncountable, plural completenesses)

1. the state or condition of being complete
2. (logic) The property of a logical theory that whenever a wff is valid then it must also be a theorem. Symbolically, letting T represent a theory within logic L, this can be represented as the property that whenever ${\displaystyle T\vDash \phi }$ is true, then ${\displaystyle T\vdash \phi }$ must also be true, for any wff ? of logic L.

   • THEOREM 37°. (Gödel's completeness theorem 1930.) In the predicate calculus H:
     (a) If ${\displaystyle \vDash F}$ [or even if ${\displaystyle \aleph _{0}}$-${\displaystyle \vDash F}$], then ${\displaystyle \vdash F}$. If ${\displaystyle E_{1},...,E_{k}\vDash F}$ [or even if ${\displaystyle E_{1},...,E_{k}\ \aleph _{0}}$-${\displaystyle \vDash F}$], then ${\displaystyle E_{1},...,E_{k}\vdash F}$.
     (b) [...]

Synonyms

• (state of being complete): completion, fulfillment; see also Thesaurus:completion

Antonyms

• incompleteness, unfinishedness; see also Thesaurus:incompletion

Translations