# Set-builder notation

Mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

- Set-builder notation2 related topics

## Zermelo–Fraenkel set theory

Axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox.

Axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox.

Subsets are commonly constructed using set builder notation.

## List comprehension

Syntactic construct available in some programming languages for creating a list based on existing lists.

Syntactic construct available in some programming languages for creating a list based on existing lists.

It follows the form of the mathematical set-builder notation (set comprehension) as distinct from the use of map and filter functions.