# Completeness vs. Accuracy

## Difference Between Completeness and Accuracy

#### Completenessnoun

the state or condition of being complete

#### Accuracynoun

The state of being accurate; being free from mistakes, this exemption arising from carefulness; exactness; correctness

The value of testimony depends on its accuracy.

#### Completenessnoun

(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.

#### Accuracynoun

Exact conformity to truth, or to a rule or model; degree of conformity of a measure to a true or standard value.

#### Completenessnoun

the state of being complete and entire; having everything that is needed

#### Accuracynoun

the quality of nearness to the truth or the true value;

he was beginning to doubt the accuracy of his compassthe lawyer questioned the truth of my account

#### Completenessnoun

(logic) an attribute of a logical system that is so constituted that a contradiction arises if any proposition is introduced that cannot be derived from the axioms of the system

#### Accuracynoun

(mathematics) the number of significant figures given in a number;

the atomic clock enabled scientists to measure time with much greater accuracy