Scope vs Completeness - What's the difference?

Scope is a related term of completeness.

In logic|lang=en terms the difference between scope and completeness

is that scope is (logic) the shortest sub-wff of which a given instance of a logical connective is a part while completeness is (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 .

As nouns the difference between scope and completeness

is that scope is the breadth, depth or reach of a subject; a domain while completeness is the state or condition of being complete.

As a verb scope

is to perform a cursory investigation, as to scope out .

scope

English

Noun

(en noun)

The breadth, depth or reach of a subject; a domain.

A device used in aiming a projectile, through which the person aiming looks at the intended target

(computing) The region of program source in which an identifier is meaningful.

(logic) The shortest sub-wff of which a given instance of a logical connective is a part.

(linguistics) The region of an utterance to which some modifying element applies.

the scope of an adverb

(slang) Shortened form of periscope, telescope, microscope or oscilloscope.

Derived terms

* scopeless

Verb

(scop)

To perform a cursory investigation, as to scope out .

(slang) To perform arthroscopic surgery.

The surgeon will scope the football player's knee to repair damage to a ligament.

(slang) To examine under a microscope.

The entomologist explained that he could not tell what species of springtail we were looking at without scoping it.

Anagrams

* copes * copse ----

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