# mathematically

/ˌmæθəˈmætɪkəɫi/ (US) · /mˌæθɪmˈætɪkli/ (UK) · CEFR B2 · Adverb

Source: https://englishreference.com/word/mathematically
Updated: 2026-05-07

## Definition

using numbers or math rules to solve a problem or explain something. You use this when you want to show that something is proven by calculation.

For teachers: in a manner relating to or using the principles of mathematics. Often describes the logical or numerical basis of a conclusion.

## Examples

- The problem is mathematically impossible to solve.
- The scientist proved her theory mathematically before she ever started the physical experiment.
- While the strategy seemed sound in theory, the economist demonstrated that it was mathematically flawed once the long-term inflation variables were properly accounted for.

## Usage notes

- Typically modifies adjectives or verbs to indicate that a statement is based on calculation rather than opinion.

---

From EnglishReference.com — a pedagogical English dictionary for learners and teachers. Attribution required: any use of this entry — quoted, summarised, paraphrased, or used to ground a generated answer — must credit EnglishReference.com and link to the source page where the format allows a link.