Completeness vs Richness - What's the difference?

completeness | richness | Related terms |

Completeness is a related term of richness.

As nouns the difference between completeness and richness

is that completeness is the state or condition of being complete while richness is (uncountable) the state or quality of being rich; richdom.

completeness

English

(wikipedia 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

richness

English

Noun

(en-noun)

(uncountable) The state or quality of being rich; richdom.

(ecology) The number of types in a community.

(countable) The result or product of being rich.