Britannica AI Icon

dyadic predicate

logic
Also known as: two-place predicate

Quick Summary

In logic, a dyadic relation is a set of ordered pairs. It's a fundamental concept within the predicate calculus, which deals with propositions that involve properties of individuals or relations between them.

A dyadic predicate, unlike a monadic (one-place) predicate that describes a property of a single individual (e.g., "Socrates is wise"), describes a relationship between two individuals. For example, "Tom is a son of John" uses a dyadic predicate "is a son of" with "Tom" and "John" as its arguments.12

Dyadic relations can be classified by properties such as symmetry (if R holds between x and y, it also holds between y and x), transitivity (if R holds between x and y, and y and z, it also holds between x and z), and reflexivity (R always holds between an object and itself).3

Summary created from Britannica articles using AI. AI can make mistakes, so verify using Britannica articles.

Ask Britannica AI about this topic

Britannica doesn't have a full article on this topic, so we've curated a list of our relevant coverage.