completeness

/kəm'pli:tnis/

Thân thiện

The mathematician checks the completeness of the proof.

Definition

1. Noun:
   • The state or quality of being complete; having all necessary parts, elements, or steps: "Completeness" refers to the condition of lacking nothing essential and being whole, finished, or perfect.
   • (Logic) An attribute of a logical system where any proposition that cannot be derived from the system's axioms would introduce a contradiction: In formal logic, "completeness" is a property of a system where all true statements are provable within that system.

Usage

• "Completeness" is an uncountable noun. It describes an abstract quality or state.
• It is often used with prepositions like "of" () or in the phrase "for completeness" ().
• It can be used in both general contexts (describing wholeness) and specialized academic contexts (like logic, mathematics, or data analysis).

Examples

• General Usage:
  • The inspector checked the project for completeness before approval.
  • The completeness of her collection was impressive; she had every book in the series.
• Specialized/Logical Usage:
  • The mathematician proved the completeness of the formal system.
  • A key question in metamathematics is the completeness of arithmetic.

Advanced Usage

• "For the sake of completeness": Used to indicate that something is being included to ensure nothing is omitted, even if it is minor or obvious.
  • I will mention all the sources, for the sake of completeness.
• "Sense of completeness": Refers to a feeling of fulfillment or wholeness.
  • Finishing the marathon gave her a profound sense of completeness.

Variants and Related Words

• Complete (adj/verb): Having all parts; to finish.
  • The puzzle is complete. (adj)
  • Please complete the form. (verb)
• Completion (n): The act of finishing something or the state of being finished.
  • The completion of the building is scheduled for June.

Synonyms

• Wholeness: The state of forming a complete and harmonious whole.
• Entirety: The whole of something.
• Totality: The whole of something.
• Integrity: The state of being whole and undivided (can imply completeness of structure).

Antonyms

• Incompleteness: The state of not being finished or lacking parts.
• Deficiency: A lack or shortage.
• Partiality: The state of being only a part; not total or complete.

Học thuật

Noun

1. (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
2. the state of being complete and entire; having everything that is needed