completeness

Collocations

2

COMPLETENESS + NOUN

theorem

PREP.

in

Definitions

noun

1

The state or condition of being complete.

2

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⊨ϕ is true, then T⊢ϕ must also b

THEOREM 37°. (Gödel's completeness theorem 1930.) In the predicate calculus H: (a) If #92;vDashF [or even if #92;aleph#95;0-#92;vDashF], then #92;vdashF. If E#95;1,...,E#95;k#92;vDashF [or even if E#95;1,...,E#95;k#92;#92;aleph#95;0-#92;vDashF], then E#95;1,...,E#95;k#92;vdashF. (b) […]

Thesaurus

Synonyms

Antonyms

incompleteness
rawness

Idioms & Phrases

Example Bank

2

01

THEOREM 37°. (Gödel's completeness theorem 1930.) In the predicate calculus H: (a) If #92;vDashF [or even if #92;aleph#95;0-#92;vDashF], then #92;vdashF. If E#95;1,...,E#95;k#92;vDashF [or even if E#9

Wiktionary

02

For the sake of completeness, let us mention that the ring R, considered as a module over itself, has submodules of arbitrarily large finite length.

Tatoeba · #518352