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Understanding proper classes vs sets: why the set of all cardinal numbers cannot exist?

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#set-theory #cardinals
153
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Kunen's exercise on antitransitive relations

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#set-theory #order-theory #ordinals
1.2k
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How can a set be uncountable but well-ordered?

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#set-theory #well-orders
164
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What guarantees constructive proofs of existence of finitely additive probability measures?

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#functional-analysis #probability-theory #measure-theory #set-theory
151
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Under $MA+\neg CH$ there exists a $Q$-set.

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#general-topology #set-theory #descriptive-set-theory
103
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The possibility and meaning of $u(x) <_B \parallel x \in u \parallel^B$ when forcing with $B$

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#set-theory #boolean-algebra #forcing
240
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From elementary substructures to embeddings

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#set-theory #first-order-logic
1.2k
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Looking for a good book to read about limit ordinals, aleph and beth numbers and AC

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#reference-request #set-theory #cardinals #axiom-of-choice
84
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Question regarding Paraconistent valued models

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#logic #set-theory #boolean-algebra #forcing #alternative-set-theories
168
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Equivalent form of CH in ZF

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#set-theory
66
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What are the essentials about classes

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#soft-question #set-theory
436
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If $\mathcal{F}$ is a filter on a set $X$, then there exists an ultrafilter $\mathcal{U}$ such that $\mathcal{F} \subseteq \mathcal{U}$

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#general-topology #set-theory #filters
60
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Lemma regarding constructible universe

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#set-theory
103
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Are these definitions of normality equivalent?

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#set-theory
87
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Mathematical induction - the set version v.s. predicate version

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#logic #induction #set-theory #peano-axioms

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