User contributions
- 16:50, 10 March 2012 (diff | hist) . . (+61) . . Hereditary Cardinality (→Definition and Basic Absoluteness Properties)
- 15:17, 20 February 2012 (diff | hist) . . (+1) . . m Infinity
- 18:03, 11 February 2012 (diff | hist) . . (-2) . . m Reflecting (→Reflecting cardinals)
- 22:53, 10 February 2012 (diff | hist) . . (+136) . . Cardinal (→Finite and infinite cardinals)
- 22:28, 9 February 2012 (diff | hist) . . (+202) . . Zero (→Definition)
- 22:53, 8 February 2012 (diff | hist) . . (+4) . . m Ordinal (current)
- 22:52, 8 February 2012 (diff | hist) . . (+46) . . Ordinal
- 18:40, 7 February 2012 (diff | hist) . . (+12) . . m User:Asalmon14 (current)
- 19:32, 6 February 2012 (diff | hist) . . (+1) . . m Cellar (→Elementary set-theoretic topics)
- 19:31, 6 February 2012 (diff | hist) . . (+43) . . Cellar (→Elementary set-theoretic topics)
- 19:30, 6 February 2012 (diff | hist) . . (+3,190) . . N Ordering Relations (Created page with "{{DISPLAYTITLE: Basic Order Theory}} We will denote an arbitrary ordering relation by $R$. We will establish some preliminary definitions: * An ordering $R$ is ''reflexive'' i...") (current)
- 20:42, 5 February 2012 (diff | hist) . . (+74) . . Cellar (→Elementary set-theoretic topics)
- 20:34, 5 February 2012 (diff | hist) . . (+486) . . N Limit ordinal (Created page with "{{DISPLAYTITLE: Limit ordinal}} A limit ordinal is an ordinal that is neither $0$ nor a successor ordinal. ==Properties== All limit ordinals are equal to thei...")
- 20:24, 5 February 2012 (diff | hist) . . (+18) . . Successor ordinal (→Properties of the successor) (current)
- 20:24, 5 February 2012 (diff | hist) . . (+551) . . N Successor ordinal (Created page with "{{DISPLAYTITLE: Successor Ordinal}} A successor ordinal, by definition, is an ordinal $\alpha$ that is equal to $\beta + 1$ for some ordinal $\beta$. The successor function, de...")
- 20:18, 5 February 2012 (diff | hist) . . (+185) . . N Well-ordering principle (Created page with "{{DISPLAYTITLE: Well-Ordering Principle}} The well-ordering principle states that every set is well-ordered by some relation. It is an equivalent of the axiom of choice. {...") (current)
- 20:16, 5 February 2012 (diff | hist) . . (-6) . . m Cardinal
- 20:13, 5 February 2012 (diff | hist) . . (+883) . . N Order-isomorphism (Created page with "{{DISPLAYTITLE: Order Isomorphism}} An order isomorphism is a particular type of isomorphism that preserves order. We say that $f$ creates an isomorphism between two relational...") (current)
- 19:05, 5 February 2012 (diff | hist) . . (+12) . . m Monotone (current)
- 19:04, 5 February 2012 (diff | hist) . . (+1,042) . . N Monotone (Created page with "{{DISPLAYTITLE: Monotone}} Monotonicity is a property of functions. A function $f$ is monotone if and only if when $x \le y$ $f(x) \le f(y)$, for all $x$ and $y$ in the domain ...")
- 18:22, 5 February 2012 (diff | hist) . . (-1) . . m SubAttic (Fixed Double Redirect) (current)
- 18:21, 5 February 2012 (diff | hist) . . (-1) . . m The subattic (Fixed Double Redirect) (current)
- 18:21, 5 February 2012 (diff | hist) . . (-11) . . m Completely ineffable cardinal (Fixed Double Redirect) (current)
- 18:18, 5 February 2012 (diff | hist) . . (+752) . . N Russell's paradox (Created page with "{{DISPLAYTITLE:Russell's Paradox}} Russell's paradox is the most elementary contradiction that results from naive set theory. It is an immediate consequence of a schema of unre...") (current)
- 17:46, 5 February 2012 (diff | hist) . . (+148) . . N Zero (Created page with "== Definition == Zero is the smallest number. It is represented by $0$, and, in the set of ordinals, $0$ is the empty set $\varnothing$. {{stub}}")
- 17:40, 5 February 2012 (diff | hist) . . (+588) . . N Transitive (Created page with "== Definition == A set is transitive if and only if all of its elements are subsets. Equivalently, a set $A$ is transitive if and only if: * it contains its union * the powers...") (current)
- 16:36, 5 February 2012 (diff | hist) . . (+797) . . Aleph (Reorganized the page, included definition at the top)
- 16:02, 5 February 2012 (diff | hist) . . (+230) . . ZFC (→Applications of Replacement)
- 15:58, 5 February 2012 (diff | hist) . . (+67) . . ZFC (→Axiom of Choice)
- 15:38, 5 February 2012 (diff | hist) . . (+456) . . Axiom of choice (Added short list of equivalents)
- 14:13, 5 February 2012 (diff | hist) . . (+143) . . N User:Asalmon14 (Created page with "I am a high school student. I discovered set theory a year ago, and although I probably won't be able to contribute much, I am eager to learn!")
