Definition

Adverb: 1. In a manner that is of little importance or significance; in a way that is not serious or profound. This describes an action done with a lack of seriousness or depth, often treating something significant as if it were unimportant. 2. In a manner that is easy, simple, or requiring little effort. This describes an action that is performed with minimal difficulty or complexity, often because the solution or proof is straightforward.

Examples of Usage

• Adverb (of little importance):
  • He dismissed her concerns trivially, which made her feel unheard.
  • The article treated the serious issue trivially, focusing on gossip instead of facts.
• Adverb (with little effort):
  • This equation can be solved trivially by applying the basic formula.
  • We can prove trivially that this theorem is false by finding a single counterexample.

Advanced Usage

• In mathematics and logic: Used frequently to describe a proof, solution, or case that is immediately obvious, follows directly from definitions, or requires minimal steps.
  • The base case of the induction proof is satisfied trivially.
• "Trivially true/false": A common phrase indicating that a statement's truth or falsehood is obvious and easily demonstrated.
  • If x is defined as a positive number, then the statement "x > 0" is trivially true.

Variants and Related Words

• Trivial (adjective): Of little value or importance; easy and simple.
  • She considered the administrative tasks to be trivial.
  • Finding the sum was a trivial problem for the students.
• Triviality (noun): The state of being trivial; a trivial detail or thing.
  • He was bored by the triviality of the conversation.

Synonyms

• Frivolously: In a carefree, silly, or not serious manner.
• Easily: Without difficulty or effort.
• Simply: In a straightforward or uncomplicated manner.
• Superficially: On the surface only; not deeply or thoroughly.

Antonyms

• Significantly: In an important or meaningful way.
• Profoundly: Deeply or intensely.
• Arduously: In a way that involves strenuous effort.

Adverb

1. in a frivolously trivial manner
   • trivially motivated requests
2. with little effort
   • we can prove trivially that this theorem is false