User:Ascii/Definitions (by Meaning)
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Metaconcepts
Logic
- Definition:Proposition
- Definition:Iff
- Definition:Contradiction
- Definition:By Hypothesis
- Definition:Constant
Set Theory
- Definition:Set
- Definition:Element
- Definition:Subset
- Definition:Singleton
- Definition:Empty Set
- Definition:Non-Empty Set
- Definition:Set of Sets
- Definition:Power Set
- Definition:Finite Set
- Definition:Countable Set
- Definition:Infinite Set
- Definition:Cardinality
- Definition:Set Union
- Definition:Set Intersection
- Definition:Relative Complement
- Definition:Relation
- Definition:Transitive Relation
- Definition:Equivalence Relation
- Definition:Ordered Set
- Definition:Smallest Element
- Definition:Supremum of Set
Mappings
- Definition:Mapping
- Definition:Function
- Definition:Image (Relation Theory)/Mapping/Mapping
- Definition:Domain (Relation Theory)/Mapping
- Definition:Identity Mapping
- Definition:Surjection
- Definition:Injection
- Definition:Bijection
- Definition:Composition of Mappings
- Definition:Sequence
- Definition:Ordinal
Number Systems
- Definition:Number
- Definition:Natural Numbers
- Definition:Integer
- Definition:Positive/Integer
- Definition:Strictly Positive/Integer
- Definition:Rational Number
- Definition:Fraction/Numerator
- Definition:Fraction/Denominator
- Definition:Real Number
- Definition:Strictly Positive/Real Number
- Definition:Real Interval/Open
- Definition:Real Interval/Closed
- Definition:Complex Number
- Definition:Complex Plane
Number Theory
- Definition:Divisor (Algebra)/Integer
- Definition:Prime Number
- Definition:Prime Decomposition
- Definition:Prime Factor
- Definition:Coprime Integers
- Definition:Even Integer
- Definition:Odd Integer
- Definition:Divisor Sum Function
- Definition:Divisor Count Function
Abstract Algebra
- Definition:Operation/Binary Operation
- Definition:Closure (Abstract Algebra)/Algebraic Structure
- Definition:Commutative Operation
- Definition:Identity (Abstract Algebra)/Two-Sided Identity
- Definition:Inverse (Abstract Algebra)/Inverse
- Definition:Algebraic Structure
- Definition:Order of Structure
- Definition:Semigroup
- Definition:Group
- Definition:Abelian Group
- Definition:Subgroup
- Definition:Normal Subgroup
- Definition:Ring (Abstract Algebra)
- Definition:Ring Zero
- Definition:Unity (Abstract Algebra)/Ring
- Definition:Ring with Unity
- Definition:Integral Domain
- Definition:Field (Abstract Algebra)
- Definition:Vector Space
Topology
- Definition:Topological Space
- Definition:Open Set/Topology
- Definition:Closed Set/Topology
- Definition:Closure (Topology)
- Definition:Metric Space
Analysis