# Quantifiers and explicit domains

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Quantifiers and explicit domains](https://ocme.evemisslab.com/en/atlas/atlas-quantifier/)

Universal and existential quantifiers must bind a domain. Under classical truth semantics, a universal statement over the empty domain is true and an existential statement is false.

atlas-quantifier · canonical_mko

[Quantifiers and explicit domains](https://ocme.evemisslab.com/en/mko/mko-quantifier/)

## Prerequisite nodes


- [Proposition](https://ocme.evemisslab.com/en/atlas/atlas-proposition/)
- [Set](https://ocme.evemisslab.com/en/atlas/atlas-set/)