Cardinal number
... same cardinality are, respectively, equipotent, equipollent, or equinumerous. Formal definition Formally, the order among cardinal ... the set of all sets which are equinumerous with X: this does not work in ... we restrict from this class to those equinumerous with X that have the least rank ...
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Branching quantifier
... psi y_1)] H�rtig: "The φs are equinumerous with the ψs" $(Q\_Ix)(\backslash phi\; x\; ...\; math>\; Chang:\; "The\; number\; of\; \phi s\; is$equinumerous with the domain of the model"
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Implementation of mathematics in set theory
... B are the same size (or are equinumerous) if and only if there is a ... the unique von Neumann ordinal which is equinumerous with the field of W and membership ...
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Dedekind-infinite set
... some proper subset B of A is equinumerous to A. Explicitly, this means that there ... positive integer n such that A is equinumerous to the set {1, 2, 3, ..., n ...
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Cardinal assignment
... the entire universe of sets which are equinumerous). The concepts are developed by defining equinumerosity ... math> i.e. A and B are equinumerous, but they do not have to be ...
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Equinumerosity
Equinumerosity Two sets A and B are equinumerous if they have the same cardinality, i ... precisely a bijection, and two sets are equinumerous precisely if they are isomorphic in this ...
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Talk:Cardinal number
... the set of all sets which are equinumerous with X and have the least rank that a set equinumerous with X can have. Is this indeed ...
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Robert Lawson Vaught
... always either finite, or countably infinite, or equinumerous with the real numbers. Well-known Ph ...
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Von Neumann cardinal assignment
... number to be the smallest ordinal number equinumerous to U. More precisely, $|U|\; =\; \backslash mathrm\; ...$
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Limit ordinal
... simply showing that every successor ordinal is equinumerous to a limit ordinal via the Hotel ...
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