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In ZFC if there is a bijection between any set and some ordinal, why use others sets in the first place? Why not assume everything is an ordinal?

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#logic #set-theory #ordinals
328
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Cofinality of a limit ordinal is equal to the cofinality of a given normal operation - Proof

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#set-theory #cardinals #ordinals
113
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Ribenboim’s remark on posets.

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#set-theory #order-theory
79
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Almost universality implies satisfaction of ZFC

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#set-theory
94
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Reference Request: Elementary embeddings between $L(V_{\alpha})$'s

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#reference-request #set-theory
97
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What do I have to suppose to say an infinite set has a proper infinite subset and its complement is also infinite?

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#analysis #set-theory
765
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What kind of "infinite sets" do constructivists use?

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#set-theory #infinity #constructive-mathematics
3k
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In what sense are inaccessible cardinals inaccessible?

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#set-theory #large-cardinals
93
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Viewing lower cardinality subsets as null sets

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#measure-theory #set-theory #cardinals
130
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Jech set theory Axiom Schema of Separation

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#set-theory
44
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Cardinality of set of strict total orders on the reals

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#set-theory
260
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Are any of the counterintuitive functions whose existence is postulated by the axiom of choice computable?

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#logic #set-theory #computability #axiom-of-choice #set-partition
863
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Can every infinite set be partially ordered in a way that does not have maximal elements?

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#set-theory #order-theory
141
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Existence of open set in $R^2$ such that all open sets in $R$ are contained among its vertical sections

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#general-topology #set-theory #descriptive-set-theory
268
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Is CH independent of TG?

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#set-theory #cardinals #axioms

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