Predicate Calculus and Set Theory Notation Used in This Document - Teradata Vantage - Analytics Database

Database Design

Deployment
VantageCloud
VantageCore
Edition
VMware
Enterprise
IntelliFlex
Product
Analytics Database
Teradata Vantage
Release Number
17.20
Published
June 2022
ft:locale
en-US
ft:lastEdition
2025-11-21
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zqc1472244571611
lifecycle
lifecycle
Product Category
Teradata Vantage™

Relational databases are based on the theory of relations as developed in set theory. Predicate calculus is often the most unambiguous way to express certain relational concepts.

Occasionally this document uses the following predicate calculus and set theory notation to explain concepts.

This symbol … Represents this phrase …
Predicate Calculus Notation
iff If and only if
For all
There exists
Set Theory Notation

Empty set
Union
Intersection

Infinitely large set

Pronounced "aleph"