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Ordinal numbers
Wellfoundedness

Summary Of: Ordinal number

Any ordinal number can be made into a... an ordinal number is genuinely an equivalence class of well... an ordinal number will be a well...

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Ordinal number (linguistics) | Representation of the ordinal numbers up to ωω. Each turn of the spiral represents one power of ω | | set theory | order type | well-ordered set | transitive sets | natural numbers | integers | cardinals | order isomorphic | initial ordinals | cardinality | Georg Cantor | infinite | order | cofinalities | Cantor normal form | topological space | order topology | discrete | cofinite | natural number | 0 | set | cardinal numbers | cardinality | well-ordered | A graphical “matchstick” representation of the ordinal ω². Each stick corresponds to an ordinal of the form ω·m+n where m and n are natural numbers. | | epsilon nought | well-ordered | axiom of dependent choice | transfinite induction | order isomorphism | equivalence relation | equivalence class | equivalence relation | Zermelo–Fraenkel | order type | Principia Mathematica | ZF | axiomatic set theory | type theory | New Foundations | Burali-Forti paradox | John von Neumann | strictly | transfinite induction | bijective function | proper subset | totally ordered | supremum | axiom of union | Burali-Forti paradox | finite | maximum | axiom of regularity | transitive set | trichotomous | totally ordered | non-well-founded set theories | urelements | sequence | Transfinite induction | well-ordered | transfinite recursion | successor ordinal | limit ordinal | limit | order topology | ordinal arithmetic | additively indecomposable ordinals | epsilon numbers | topological | order topology | closed and unbounded | Ordinal arithmetic | cardinal | axiom of choice | Von Neumann cardinal assignment | cofinality | cofinal | idempotent | Large countable ordinal | Cantor normal form | Church | Kleene | computable function | formal systems | Peano arithmetic | Order topology | topological space | order topology | Topology and ordinals | downward closed | Counting | ordinal space | Georg Cantor | Conway, J. H. | Guy, R. K. | ISBN 0521245095 | Springer-Verlag | ISBN 0-486-42079-5 | Set Theory | Springer-Verlag | ISBN 0-486-61630-4 | | Wiktionary | Eric W. Weisstein | MathWorld | v | d | Number systems | Natural numbers | Negative numbers | Integers | Rational numbers | Irrational numbers | Real numbers | Imaginary numbers | Complex numbers | Algebraic numbers | Transcendental numbers | Quaternions | Octonions | Sedenions | Cayley–Dickson construction | Split-complex numbers | Bicomplex numbers | Biquaternions | Split-quaternions | Tessarines | Hypercomplex numbers | Musean hypernumbers | Superreal numbers | Hyperreal numbers | Supernatural numbers | Surreal numbers | Dual numbers | Transfinite numbers | Extended real numbers | Cardinal numbers | p-adic numbers | Categories | Ordinal numbers | Wellfoundedness |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Ordinal number".