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The Free Set Lemma

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#set-theory #cardinals
236
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$\kappa$ ineffable $\Rightarrow$ $\kappa$ tree-property

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#set-theory #cardinals #large-cardinals #infinitary-combinatorics
134
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Showing $\prod_{n < \omega} n = 2^{\aleph_0}$

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#set-theory #cardinals
9.1k
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Example of set of cardinality $\aleph_2$

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#elementary-set-theory #cardinals #infinity
227
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How large is an uncountable regular cardinal which is closed under arbitrary fast operators?

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#logic #set-theory #cardinals #large-cardinals
42
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a question concerning multiplication of cardinal numbers

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#elementary-set-theory #cardinals
317
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A forcing that is $\omega_1$-closed and $\omega_2$-c.c.

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#set-theory #cardinals #forcing
65
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Characterizability in $L^2_{\kappa^+\omega}$

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#cardinals #higher-order-logic
21k
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Let A be a set of all infinite sequences consisting of 0's and 1's. Prove that A is not countable.

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#functions #elementary-set-theory #cardinals
49
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a question on cardinality

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#elementary-set-theory #cardinals
324
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Cardinality of a set of closed intervals

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#elementary-set-theory #cardinals
65
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determining the cardinality

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#elementary-set-theory #cardinals
1k
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Cardinal number of the set of all one-to-one mappings of $A$ onto itself.

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#elementary-set-theory #cardinals
145
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For cardinals, if $\mathfrak{a}\ne\mathfrak{b}$ then $2^\mathfrak{a}\ne 2^\mathfrak{b}$

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#soft-question #set-theory #cardinals
541
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Is the set of all cardinals smaller then a strongly inaccessible cardinal closed?

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#set-theory #cardinals

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