Sets

Sets#

Sections#

Figures#

  • [ w ] 1845-1918 Cantor, Georg

    • [ w ] 1874 On a Property of the Collection of All Real Algebraic Numbers.

  • [ w ] 1831-1916 Dedekind, Richard

  • [ w ] 1872-1970 Russell, Bertrand

  • [ w ] 1871-1953 Zermelo, Ernst

Terms#

  • [ w ] Algebra of Sets

  • [ w ] Axiom of Choice

  • [ w ] Burali-Forti Paradox

  • [ w ] Cantor’s Diagonal Argument

  • [ w ] Cantor’s Paradise

  • [ w ] Cantor’s Paradox

  • [ w ] Cardinal Number

  • [ w ] Cartesian Product

  • [ w ] Class

  • [ w ] Complement of a Set

  • [ w ] Countable Set

  • [ w ] Dedekind-Infinite Set

  • [ w ] Disjoint Sets

  • [ w ] Disjoint Union

  • [ w ] Element

  • [ w ] Empty Set

  • [ w ] Equinumerosity

  • [ w ] Equivalence Class

  • [ w ] Family of Sets

  • [ w ] Finite Set

  • [ w ] Infinite Set

  • [ w ] Intersection

  • [ w ] Large Cardinal Property

  • [ w ] Multiplicity

  • [ w ] Multiset

  • [ w ] Naive Set Theory

  • [ w ] Paradoxes of Set Theory

  • [ w ] Partition of a Set

  • [ w ] Power Set

  • [ w ] Russell’s Paradox

  • [ w ] Schröder-Bernstein Theorem

  • [ w ] Set

  • [ w ] Set Builder Notation

  • [ w ] Set Theory

  • [ w ] Singleton

  • [ w ] Subset

  • [ w ] Symmetric Difference

  • [ w ] Transfinite Number

  • [ w ] Union

  • [ w ] Universe

  • [ w ] Zermelo-Fraenkel Set Theory

  • [ w ] Algebraic Number

  • [ w ][ s ] Axiom of Choice

  • [ w ] Axiom of Empty Set

  • [ w ] Axiom of Extensionality

  • [ w ] Axiom of Infinity

  • [ w ] Axiom of Power Set

  • [ w ] Cantor’s Diagonal Argument

  • [ w ] Cantor’s Theorem

  • [ w ] Cardinal Number

  • [ w ] Cardinality of the Continuum

  • [ w ] Cartesian Product

  • [ w ] Class

  • [ w ] Continuum

  • [ w ] Continuum Hypothesis

  • [ w ] Dedekind Cut

  • [ w ] Element

  • [ w ] Empty Set

  • [ w ] Equinumerosity

  • [ w ] Family

  • [ w ] Intension

  • [ w ] Mathematical Object

  • [ w ] Multiset

  • [ w ] Ordinal Arithmetic

  • [ w ] Ordinal Number

  • [ w ] Power Set

  • [ w ] Real Number

  • [ w ] Real Number, Decimal Representation

  • [ w ] Set

  • [ w ] Set, Countable

  • [ w ] Set, Infinite

  • [ w ] Set, Uncountable

  • [ w ] Set-Builder Notation

  • [ w ] Singleton

  • [ w ] Subset

  • [ w ] Successor Cardinal

  • [ w ] Successor Ordinal

  • [ w ] Transcendental Number

  • [ w ] Union

  • [ w ] Well-Order

  • [ w ] Zermelo Set Theory

  • [ w ] Zermelo-Fraenkel Set Theory

  • [ s ] Category Theory

  • [ s ] Continuity and Infinitesimals

  • [ s ] Continuum Hypothesis

  • [ s ] Large Cardinals and Determinacy

  • [ s ] Large Cardinals and Independence

  • [ s ] Set Theory

  • [ s ] Set Theory, Alternative Axiomatic

  • [ s ] Set Theory, Early Development

  • [ s ] Set Theory, Zermelo’s Axiomatization

Acknowledgements#

2013 Klein, Philip N. Coding the Matrix: Linear Algebra through Computer Science Applications. Newtonian Press.

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