Category:Definitions/Set Theory
This category contains definitions related to Set Theory.
Related results can be found in Category:Set Theory.
Set Theory is the branch of mathematics which studies sets.
Subcategories
This category has the following 35 subcategories, out of 35 total.
A
C
D
F
I
L
M
N
O
P
R
S
V
Pages in category "Definitions/Set Theory"
The following 200 pages are in this category, out of 233 total.
(previous page) (next page)A
C
- Definition:Cardinal
- Definition:Cardinality
- Definition:Cardinality of Continuum
- Definition:Cardinality of Finite Set
- Definition:Cardinality of Set
- Definition:Cardinality/Finite
- Definition:Cartesian Closed Set
- Definition:Cartesian Product
- Definition:Cartesian Product of Two Sets
- Definition:Category of Sets
- Definition:Characteristic Function (Set Theory)/Set
- Definition:Characteristic Function of Set
- Definition:Choice Function
- Definition:Choice Function/Use of Axiom of Choice
- Definition:Class Theory
- Definition:Co-Countable Set
- Definition:Codomain (Set Theory)
- Definition:Cofinal Subset
- Definition:Cofinite Set
- Definition:Combination
- Definition:Comprehension Principle
- Definition:Contain
- Definition:Count
- Definition:Countable Set
- Definition:Countable Set/Also defined as
- Definition:Countable Set/Countably Infinite
- Definition:Counting Measure
D
- Definition:Decreasing Sequence of Sets
- Definition:Dedekind-Infinite
- Definition:Descriptive Set Theory
- Definition:Disjoint Sets
- Definition:Disjoint Union (Set Theory)
- Definition:Distinct Elements
- Definition:Distinct/Plural/Pairwise Distinct
- Definition:Distinct/Singular
- Definition:Distinguish
- Definition:Domain (Set Theory)
- Definition:Dominate (Set Theory)
- Definition:Dominate (Set Theory)/Definition 1
- Definition:Dominate (Set Theory)/Definition 2
- Definition:Dominate (Set Theory)/Strictly Dominate
- Definition:Doubleton
E
- Definition:Element
- Definition:Element of Set
- Definition:Element/Historical Note
- Definition:Empty Ordered Tuple
- Definition:Empty Set
- Definition:Empty Set/Existence
- Definition:Enumeration
- Definition:Enumeration/Countably Infinite
- Definition:Enumeration/Finite
- Definition:Equipotent
- Definition:Euler Diagram
- Definition:Evaluation Mapping
- Definition:Exact Existential Quantifier
- Definition:Exhausting Sequence of Sets
- Definition:Existential Quantifier
- Definition:Existential Quantifier/Exact
- Definition:Existential Quantifier/Notational Variants
- Definition:Existential Quantifier/Unique
- Definition:Explicit Set Definition
F
I
- Definition:Implicit Set Definition
- Definition:Implicit Set Definition for Infinite Set
- Definition:Improper Subset
- Definition:Inclusion Relation
- Definition:Increasing Sequence of Sets
- Definition:Indexing Set
- Definition:Inductive Ordered Set
- Definition:Infinite
- Definition:Infinite Set
- Definition:Infinite Successor Set
- Definition:Infinitely Many
- Definition:Infinity
- Definition:Inflationary Mapping/Subset
- Definition:Inner Limit
- Definition:Inner Model Theory
- Definition:Inverse Image of Element under Mapping
L
- Definition:Language of Set Theory
- Definition:Limit Inferior of Sequence of Sets
- Definition:Limit Inferior of Sequence of Sets/Definition 1
- Definition:Limit Inferior of Sequence of Sets/Definition 2
- Definition:Limit Inferior of Sequence of Sets/Notation
- Definition:Limit of Decreasing Sequence of Sets
- Definition:Limit of Increasing Sequence of Sets
- Definition:Limit Superior of Sequence of Sets
- Definition:Limit Superior of Sequence of Sets/Definition 1
- Definition:Limit Superior of Sequence of Sets/Definition 2
- Definition:Limit Superior of Sequence of Sets/Notation
M
- Definition:Mapping
- Definition:Mapping Theory
- Definition:Mapping/Defined
- Definition:Mapping/Definition 1
- Definition:Mapping/Definition 2
- Definition:Mapping/Definition 3
- Definition:Mapping/Definition 4
- Definition:Mapping/Diagrammatic Presentation
- Definition:Mapping/General Definition
- Definition:Maximal Set
- Definition:Maximal/Set
- Definition:Membership Relation
- Definition:Minimal Infinite Successor Set
- Definition:Minimal Infinite Successor Set/Definition 1
- Definition:Minimal Infinite Successor Set/Definition 2
- Definition:Minimal Infinite Successor Set/Definition 3
- Definition:Minimal Set
- Definition:Minimal/Set
- Definition:Monotone Sequence of Sets
- Definition:Moore-Smith Sequence
- Definition:Multipart Infinite Set
- Definition:Multiset
N
O
- Definition:Operation Compatible with Equivalence
- Definition:Order of Set
- Definition:Ordered Pair
- Definition:Ordered Pair/Informal Definition
- Definition:Ordered Pair/Kuratowski Formalization
- Definition:Ordered Pair/Kuratowski Formalization/Warning
- Definition:Ordered Triple
- Definition:Ordered Tuple
- Definition:Ordered Tuple as Ordered Set
- Definition:Ordered Tuple as Ordered Set/Ordered Quadruple
- Definition:Ordered Tuple as Ordered Set/Ordered Triple
- Definition:Ordered Tuple as Ordered Set/Ordered Tuple
- Definition:Ordinal
- Definition:Ordinal/Definition 2
- Definition:Outer Limit
P
- Definition:Pairwise Disjoint
- Definition:Pairwise Disjoint Collection
- Definition:Pairwise Disjoint/Set of Sets
- Definition:Pairwise Distinct
- Definition:Parametric Operator
- Definition:Partition (Set Theory)
- Definition:Partition of Set
- Definition:Peano Curve
- Definition:Point Set
- Definition:Power Set
- Definition:Proper Subset
- Definition:Proper Subset/Improper
- Definition:Proper Subset/Proper Superset
- Definition:Proper Superset
- Definition:Propositional Expansion/Existential Quantifier
- Definition:Propositional Expansion/Universal Quantifier
- Definition:Pure Set Theory
R
S
- Definition:Set
- Definition:Set Complement
- Definition:Set Containment
- Definition:Set Definition by Predicate
- Definition:Set Difference
- Definition:Set Difference/Example
- Definition:Set Difference/Venn Diagram
- Definition:Set Equality
- Definition:Set Equality/Definition 1
- Definition:Set Equality/Definition 2
- Definition:Set Equivalence
- Definition:Set Inclusion
- Definition:Set Intersection
- Definition:Set of Sets
- Definition:Set Partition
- Definition:Set Product
- Definition:Set Product/Family of Sets
- Definition:Set Similarity
- Definition:Set Theory
- Definition:Set Union
- Definition:Set Variable
- Definition:Set-Builder Notation
- Definition:Set/Definition by Predicate
- Definition:Set/Explicit Set Definition
- Definition:Set/Implicit Set Definition
