Definition

Adverb: 1. In a manner relating to or using mathematics: Pertaining to the principles, methods, or precision of mathematics. 2. According to or as determined by mathematical calculation or reasoning: Used to describe something that is true, proven, or considered from a strictly mathematical perspective.

Usage Examples

• Adverb:
  • The theorem was proven mathematically. (It was proven using rigorous mathematical logic and steps.)
  • The results were analyzed mathematically, not anecdotally. (The analysis used statistical models and numerical data.)
  • This outcome is mathematically certain. (It is guaranteed based on mathematical laws.)

Advanced Usage

• "Mathematically speaking": Used to introduce a statement from the precise viewpoint of mathematics.
  • Mathematically speaking, the probability is zero. (From a strict mathematical standpoint, it cannot happen.)
• "Mathematically modeled": Described or represented using mathematical equations.
  • The spread of the disease was mathematically modeled to predict its trajectory.

Variants and Related Words

• Mathematical (adjective): Of or relating to mathematics.
  • She has a strong mathematical mind.
• Mathematician (noun): An expert in or student of mathematics.

Synonyms

• Numerically: In terms of numbers.
• Algorithmically: By means of a step-by-step procedure, like an algorithm.
• Theoretically: In theory; based on abstract principles (can overlap in contexts of proof).

Antonyms

• Empirically: Based on observation or experience rather than theory or pure logic.
• Intuitively: Based on feelings or instincts rather than conscious reasoning or calculation.
• Qualitatively: In terms of quality or character rather than quantity or mathematical measure.

Related Phrases

• Mathematically impossible: Impossible according to the laws of mathematics; cannot be true in any mathematical framework.
  • Creating a perpetual motion machine is mathematically impossible.
• Mathematically inclined: Having a natural talent or interest in mathematics.
  • He has always been mathematically inclined.

Adverb

1. with respect to mathematics
   • mathematically impossible