# fol

CEFR C2 · Noun

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

## Definition

a system of logic that uses symbols to represent objects and the relationships between them. It allows for complex statements like 'every person has a name' to be written as a formula.

For teachers: a formal system of symbolic logic that allows for the use of variables, predicates, and quantifiers. It extends propositional logic by permitting statements about individuals and their properties.

## Examples

- The professor explained the basics of FOL in the logic seminar.
- Researchers use FOL to create precise mathematical models that computers can process without ambiguity.
- While propositional logic handles simple truth values, FOL introduces quantifiers like 'for all' and 'there exists' to express more nuanced relationships between entities in a domain.

## Usage notes

- Often used as an acronym for 'First-Order Logic'; typically appears in academic or technical contexts.

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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.