memberless

Thân thiện

A set is memberless if it contains no elements.

Definition

1. Adjective:
   • Having no members: Describes a group, set, organization, or collection that contains zero elements or participants. It indicates a state of being empty or devoid of any constituents.

Usage

• The word "memberless" is a formal and somewhat technical adjective. It is most commonly used in mathematical, logical, or organizational contexts to describe a set, class, or group with a cardinality of zero.
• It is not typically used in everyday conversation. More common alternatives for general contexts include "empty" or "having no members."

Examples

• Adjective:
  • In set theory, the empty set is the only memberless set.
  • After the scandal, the committee was disbanded and remained memberless for months.
  • A memberless union has no bargaining power.

Advanced Usage

• "memberless class": In logic or philosophy, a class or category to which no objects belong.
  • The philosopher argued about the properties of a memberless class.

Variants and Related Words

• Member (n): An individual belonging to a group or set.
• Membership (n): The state of being a member.

Synonyms

• Empty: Containing nothing; having no members.
• Vacant: Having no incumbent or occupant; unfilled.
• Unpopulated: Having no inhabitants.

Antonyms

• Populated: Inhabited by members.
• Non-empty: (Mathematics) A set containing at least one element.

Học thuật

Adjective

1. of a group or set having no members