Pages that link to "Mathematician:Wilson Miles Zaring"
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The following pages link to Mathematician:Wilson Miles Zaring:
Displayed 5 items.
- Mathematician:Mathematicians/Sorted By Nation/United States (transclusion) (← links)
- Mathematician:Mathematicians/Sorted By Birthday/November (← links)
- Mathematician:Wilson (transclusion) (← links)
- Mathematician:Wilson M. Zaring (redirect page) (← links)
- Russell's Paradox (← links)
- Set Difference with Self is Empty Set (← links)
- Set Equivalence behaves like Equivalence Relation (← links)
- Cantor's Theorem (← links)
- Cantor-Bernstein-Schröder Theorem (← links)
- Identity Mapping is Order Isomorphism (← links)
- Inverse of Order Isomorphism is Order Isomorphism (← links)
- Composite of Order Isomorphisms is Order Isomorphism (← links)
- Equality of Natural Numbers (← links)
- Cardinality of Power Set of Finite Set (← links)
- Division Theorem (← links)
- Initial Segment of Ordinal is Ordinal (← links)
- Intersection of Two Ordinals is Ordinal (← links)
- Dirichlet's Box Principle (← links)
- Order Isomorphism on Well-Ordered Set preserves Well-Ordering (← links)
- Natural Number Addition is Closed (← links)
- Subset of Finite Set is Finite (← links)
- Axiom of Subsets Equivalents (← links)
- Empty Set is Small (← links)
- Equality is Reflexive (← links)
- Equality is Symmetric (← links)
- Strictly Well-Founded Relation has no Relational Loops (← links)
- No Membership Loops (← links)
- Element of Transitive Class (← links)
- Alternative Definition of Ordinal (← links)
- Class of All Ordinals is Ordinal (← links)
- Transitive Set is Proper Subset of Ordinal iff Element of Ordinal (← links)
- Ordinal is Member of Class of All Ordinals (← links)
- Ordinal is Subset of Class of All Ordinals (← links)
- Equality is Transitive (← links)
- Minimally Inductive Set forms Peano Structure (← links)
- Transfinite Induction/Principle 1 (← links)
- Transfinite Recursion Theorem/Theorem 1 (← links)
- Proper Well-Ordering determines Smallest Elements (← links)
- Well-Ordered Induction (← links)
- Subset of Ordinals has Minimal Element (← links)
- Union of Ordinals is Least Upper Bound (← links)
- Ordinal is Less than Successor (← links)
- No Largest Ordinal (← links)
- Minimally Inductive Set is Ordinal (← links)
- Minimally Inductive Set is Limit Ordinal (← links)
- No Infinitely Descending Membership Chains (← links)
- Ordinals Isomorphic to the Same Well-Ordered Set (← links)
- Transfinite Recursion Theorem/Uniqueness (← links)
- Transfinite Recursion Theorem/Theorem 2 (← links)
- Transfinite Recursion Theorem/Corollary (← links)
- Well-Ordered Transitive Subset is Equal or Equal to Initial Segment (← links)
- Condition for Injective Mapping on Ordinals (← links)
- Maximal Injective Mapping from Ordinals to a Set (← links)
- Order Isomorphism between Ordinals and Proper Class/Lemma (← links)
- Order Isomorphism between Ordinals and Proper Class (← links)
- Order Isomorphism between Ordinals and Proper Class/Corollary (← links)
- Strict Well-Ordering Isomorphic to Unique Ordinal under Unique Mapping (← links)
- Unique Isomorphism between Ordinal Subset and Unique Ordinal (← links)
- Lexicographic Order forms Well-Ordering on Ordered Pairs of Ordinals (← links)
- Initial Segment of Ordinals under Lexicographic Order (← links)
- Canonical Order Well-Orders Ordered Pairs of Ordinals (← links)
- Initial Segment of Canonical Order is Set (← links)
- Ordinal Addition is Closed (← links)
- Ordinal Addition by Zero (← links)
- Substitutivity of Equality (← links)
- Membership is Left Compatible with Ordinal Addition (← links)
- Ordinal Addition is Left Cancellable (← links)
- Supremum Inequality for Ordinals (← links)
- Subset is Right Compatible with Ordinal Addition (← links)
- Ordinal Subtraction when Possible is Unique (← links)
- Infinite Ordinal can be expressed Uniquely as Sum of Limit Ordinal plus Finite Ordinal (← links)
- Finite Ordinal Plus Transfinite Ordinal (← links)
- Limit Ordinals Preserved Under Ordinal Addition (← links)
- Ordinal Addition is Associative (← links)
- Ordinal Multiplication is Closed (← links)
- Natural Number Multiplication is Closed (← links)
- Ordinal Multiplication by Zero (← links)
- Ordinal Multiplication by One (← links)
- Membership is Left Compatible with Ordinal Multiplication (← links)
- Ordinal Multiplication is Left Cancellable (← links)
- Subset is Right Compatible with Ordinal Multiplication (← links)
- Ordinals have No Zero Divisors (← links)
- Relativisation is Standard Model (← links)
- Substitution of Elements (← links)
- Limit Ordinals Preserved Under Ordinal Multiplication (← links)
- Ordinal is Less than Ordinal times Limit (← links)
- Epsilon Induction (← links)
- Class Equality is Reflexive (← links)
- Class Equality is Symmetric (← links)
- Class Equality is Transitive (← links)
- Substitutivity of Class Equality (← links)
- Class is Extensional (← links)
- Set is Small Class (← links)
- Class Member of Class Builder (← links)
- Union of Doubleton (← links)
- Union of Small Classes is Small (← links)
- Set Difference is Set (← links)
- Nonempty Class has Members (← links)
- Class is Not Element of Itself (← links)
- Universal Class is Proper (← links)
- Cartesian Product is Small (← links)
- Image of Small Class under Mapping is Small (← links)
- Inverse of Small Relation is Small (← links)
- Domain of Small Relation is Small (← links)
- Range of Small Relation is Small (← links)
- Cartesian Product is Small iff Inverse is Small (← links)
- Cartesian Product with Proper Class is Proper Class (← links)
- Uniqueness Condition for Relation Value (← links)
- Value of Relation is Small (← links)
- Mapping whose Domain is Small Class is Small (← links)
- Restriction of Mapping to Small Class is Small (← links)
- Preimage of Singleton (← links)
- Order Isomorphism Preserves Strictly Minimal Elements (← links)
- Order Isomorphism Preserves Initial Segments (← links)
- Order Isomorphism on Strictly Well-Founded Relation preserves Strictly Well-Founded Structure (← links)
- Induced Relation Generates Order Isomorphism (← links)
- Ordinal Multiplication is Left Distributive (← links)
- Ordinal Multiplication is Associative (← links)
- Division Theorem for Ordinals (← links)
- Finite Ordinal Times Ordinal (← links)
- Exponent Base of One (← links)
- Exponent Not Equal to Zero (← links)
- Membership is Left Compatible with Ordinal Exponentiation (← links)
- Subset is Right Compatible with Ordinal Exponentiation (← links)
- Condition for Membership is Right Compatible with Ordinal Exponentiation (← links)
- Lower Bound for Ordinal Exponentiation (← links)
- Unique Ordinal Exponentiation Inequality (← links)
- Limit Ordinals Closed under Ordinal Exponentiation (← links)
- Ordinal is Less than Ordinal to Limit Power (← links)
- Ordinal Sum of Powers (← links)
- Ordinal Power of Power (← links)
- Upper Bound of Ordinal Sum (← links)
- Power Sets of Equinumerous Sets are Equinumerous (← links)
- Basis Representation Theorem for Ordinals (← links)
- Ordinal Multiplication via Cantor Normal Form/Infinite Exponent (← links)
- Ordinal Multiplication via Cantor Normal Form/Limit Base (← links)
- Ordinal Exponentiation of Terms (← links)
- Inequality for Ordinal Exponentiation (← links)
- Ordinal Exponentiation via Cantor Normal Form/Limit Exponents (← links)
- Ordinal Exponentiation via Cantor Normal Form/Corollary (← links)
- Transitive Set is Proper Subset of Ordinal iff Element of Ordinal/Corollary (← links)
- Transitive Closure Always Exists (Set Theory) (← links)
- Relational Closure Exists for Set-Like Relation (← links)
- Well-Founded Proper Relational Structure Determines Minimal Elements (← links)
- Closure for Finite Collection of Relations and Operations (← links)
- Well-Founded Recursion (← links)
- Von Neumann Hierarchy is Supertransitive (← links)
- Von Neumann Hierarchy Comparison (← links)
- Rank is Ordinal (← links)
- Ordinal Equal to Rank (← links)
- Ordinal is Subset of Rank of Small Class iff Not in Von Neumann Hierarchy (← links)
- Membership Rank Inequality (← links)
- Rank of Set Determined by Members (← links)
- Rank of Ordinal (← links)
- Bounded Rank implies Small Class (← links)
- Strictly Well-Founded Relation determines Strictly Minimal Elements (← links)
- Well-Founded Induction (← links)
- Cardinal Number is Ordinal (← links)
- Condition for Set Equivalent to Cardinal Number (← links)
- Cardinal Number Equivalence or Equal to Universe (← links)
- Ordinal Number Equivalent to Cardinal Number (← links)
- Cardinal Number Less than Ordinal (← links)
- Cardinal Number Less than Ordinal/Corollary (← links)
- Equivalent Sets have Equal Cardinal Numbers (← links)
- Condition for Set Union Equivalent to Associated Cardinal Number (← links)
- Condition for Cartesian Product Equivalent to Associated Cardinal Number (← links)
- Cardinal of Cardinal Equal to Cardinal (← links)
- Cardinal of Finite Ordinal (← links)
- Finite Ordinal is equal to Natural Number (← links)
- Subset implies Cardinal Inequality (← links)
- Subset of Ordinal implies Cardinal Inequality (← links)
- Set Less than Cardinal Product (← links)
- Cardinality of Image of Mapping not greater than Cardinality of Domain (← links)
- Surjection iff Cardinal Inequality (← links)
- Cardinal of Union Less than Cardinal of Cartesian Product (← links)
- Ordinal is Finite iff Natural Number (← links)
- Cardinal Inequality implies Ordinal Inequality (← links)
- Cardinal Number Plus One Less than Cardinal Product (← links)
- Non-Finite Cardinal is equal to Cardinal Product (← links)
- Non-Finite Cardinal is equal to Cardinal Product/Corollary (← links)
- Cardinal Product Equal to Maximum (← links)
- Cardinal of Union Equal to Maximum (← links)
- Class of All Cardinals is Subclass of Class of All Ordinals (← links)
- Cardinal of Cardinal Equal to Cardinal/Corollary (← links)
- Class of All Cardinals Contains Minimally Inductive Set (← links)
- Cardinal Equal to Collection of All Dominated Ordinals (← links)
- Class of All Cardinals is Proper Class (← links)
- Class of Infinite Cardinals is Proper Class (← links)
- Ordinal in Aleph iff Cardinal in Aleph (← links)
- Aleph Product is Aleph (← links)
- Surjection from Aleph to Ordinal (← links)
- Set of All Mappings is Small Class (← links)
- Set of All Mappings of Cartesian Product (← links)
- Cofinal Ordinal Relation is Reflexive (← links)
- Cofinal Ordinal Relation is Transitive (← links)
- Cofinal to Zero iff Ordinal is Zero (← links)
- Condition for Cofinal Nonlimit Ordinals (← links)
- Nonlimit Ordinal Cofinal to One (← links)
- Cofinal Limit Ordinals (← links)
- Strictly Well-Founded Relation determines Strictly Minimal Elements/Lemma (← links)
- Axiom of Foundation (Strong Form)/Proof 1 (← links)
- Alternative Definition of Ordinal in Well-Founded Theory (← links)
- Isomorphic Ordinals are Equal/Proof 2 (← links)
- Dirichlet's Box Principle/Corollary (← links)
- Principle of Mathematical Induction for Minimally Inductive Set (← links)
- Universal Class is Proper/Proof 1 (← links)
- Equivalence of Definitions of Ordinal (← links)
- Product of Finite Sets is Finite/Proof 2 (← links)
- Union of Finite Sets is Finite/Proof 2 (← links)
- No Natural Number between Number and Successor/Proof using Minimally Inductive Set (← links)
- Successor Set of Ordinal is Ordinal/Proof 2 (← links)
- Union of Set of Ordinals is Ordinal/Proof 2 (← links)
- Ordinal Membership is Trichotomy/Proof 2 (← links)
- Existence of Set of Ordinals leads to Contradiction (← links)
- Set has Rank/Proof 1 (← links)
- Talk:Main Page/Archive 16 (← links)
- User:Asalmon (← links)
- Axiom:Axiom of Specification/Set Theory (← links)
- Definition:Empty Set (← links)
- Definition:Singleton (← links)
- Definition:Subset (← links)
- Definition:Set Union (← links)
- Definition:Set Intersection (← links)
- Definition:Set Difference (← links)
- Definition:Cartesian Product (← links)
- Definition:Composition of Relations (← links)
- Definition:Inverse Relation (← links)
- Definition:Power Set (← links)
- Definition:Range of Relation (← links)
- Definition:Proper Subset (← links)
- Definition:Identity Mapping (← links)
- Definition:Set Equivalence (← links)
- Definition:Set of All Mappings (← links)
- Definition:Partially Ordered Set (← links)
- Definition:Order Isomorphism (← links)
- Definition:Infinite Set (← links)
- Definition:Strict Total Ordering (← links)
- Definition:Class (Class Theory) (← links)
- Definition:Finite Set (← links)
- Definition:Definable (← links)
- Definition:Universal Class (← links)
- Definition:Restriction/Relation (← links)
- Definition:Unique (← links)
- Definition:Domain (Relation Theory)/Relation (← links)
- Definition:Transitive Class (← links)
- Definition:Epsilon Relation (← links)
- Definition:Closure (Abstract Algebra)/Algebraic Structure (← links)
- Definition:Class of All Ordinals (← links)
- Definition:Image (Relation Theory)/Mapping/Element (← links)
- Definition:Successor Mapping/Successor Set (← links)
- Definition:Preimage/Relation/Subset (← links)
- Definition:Image (Relation Theory)/Relation/Relation (← links)
- Definition:Set Intersection/Set of Sets (← links)
- Definition:Set Union/Set of Sets (← links)
- Definition:Canonical Order (← links)
- Definition:Ordinal Addition (← links)
- Definition:Ordinal Subtraction (← links)
- Definition:Ordinal Multiplication (← links)
- Definition:Ordinal Exponentiation (← links)
- Definition:Structure (Set Theory) (← links)
- Definition:Relativisation (← links)
- Definition:Language of Set Theory (← links)
- Definition:Russell Class (← links)
- Definition:Class Equality (← links)
- Definition:Small Class (← links)
- Definition:Unordered Tuple (← links)
- Definition:Image (Relation Theory)/Relation/Element/Singleton (← links)
- Definition:Standard Transitive Model (← links)
- Definition:Transitive Closure (Set Theory) (← links)
- Definition:Closed Relation (← links)
- Definition:Supertransitive Class (← links)
- Definition:Von Neumann Hierarchy (← links)
- Definition:Well-Founded Set (← links)
- Definition:Rank (Set Theory) (← links)
- Definition:Cardinal Number (← links)
- Definition:Aleph Mapping (← links)
- Definition:Class of All Cardinals (← links)
- Definition:Class of Infinite Cardinals (← links)
- Definition:Cofinal Relation on Ordinals (← links)
- Definition:Cofinality (← links)
- Definition:Regular Cardinal (← links)
- Definition:Singular Cardinal (← links)
- Definition:Weakly Inaccessible Cardinal (← links)
- Definition:Strongly Inaccessible Cardinal (← links)
- Definition:Class (Class Theory)/Proper Class (← links)
- Definition:Strict Well-Ordering/Definition 1 (← links)
- Definition:Order Isomorphism/Well-Orderings (← links)
- Definition:Set Equality/Definition 1 (← links)
- Definition:Minimally Inductive Set/Definition 3 (← links)
- Definition:Lexicographic Order/Ordinals (← links)
- Definition:Injection/Definition 2 (← links)
- Definition:Ordered Tuple/Definition 1 (← links)
- Definition:Ordered Pair/Informal Definition (← links)
- Definition:Mapping/Definition 1 (← links)
- Definition:Relation/Relation as Subset of Cartesian Product (← links)
- Definition:Doubleton/Class Theory (← links)
- Definition:Class Equality/Definition 1 (← links)
- Definition:Universal Class/Zermelo-Fraenkel Theory (← links)
- Definition:Non-Limit Ordinal (← links)
- Definition:Strictly Well-Founded Relation/Definition 1 (← links)
- Definition:Strictly Well-Founded Relation/Definition 2 (← links)
- Definition:Definable/Element (← links)
- Definition:Definable/Set (← links)
- Definition:Class Union/General Definition (← links)
- Definition:Limit Ordinal/Definition 2 (← links)
- Definition:Range of Relation/Image (← links)
- Mathematician:Gaisi Takeuti (← links)
- Book:Books (← links)
- Book:Gaisi Takeuti/Introduction to Axiomatic Set Theory (← links)
- Book:Books/Set Theory (← links)
- Mathematician:Mathematicians/Sorted By Birth/1921 - 1930 CE (transclusion) (← links)