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Completeness vs Profusion - What's the difference?

completeness | profusion | Related terms |

Completeness is a related term of profusion.


As nouns the difference between completeness and profusion

is that completeness is the state or condition of being complete while profusion is profusion, abundance.

completeness

Noun

(-)
  • the state or condition of being complete
  • (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 T \vDash \phi is true, then T \vdash \phi must also be true, for any wff ''φ'' of logic ''L .
  • *
  • THEOREM 37°. (Gödel's completeness theorem 1930.) In the predicate calculus H'':
    (a) ''If'' \vDash F [''or even if'' \aleph_0-\vDash F], ''then'' \vdash F. ''If'' E_1, . . . , E_k \vDash F [''or even if'' E_1, . . . , E_k \ \aleph_0-\vDash F], ''then
    E_1, . . . , E_k \vdash F.
    (b) [...]

    Synonyms

    *(state of being complete ): completion

    Antonyms

    * incompleteness

    profusion

    English

    Noun

    (en noun)
  • abundance; the state of being profuse; a cornucopia
  • His hair, in great profusion , streamed down over his shoulders.
  • * 1918 , (Edgar Rice Burroughs), Chapter VI
  • We set the men at work felling trees, selecting for the purpose jarrah, a hard, weather-resisting timber which grew in profusion near by.
  • lavish or imprudent expenditure; prodigality or extravagance