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15
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Size of $Th_{\kappa\kappa}$.

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#logic #model-theory #cardinals
86
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Does ZF prove the existence of a cardinal that is not reachable (through set union) from a given cardinal, for every cardinal?

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#set-theory #first-order-logic #cardinals
52
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Suppose |$A$| = |$B$| and let $f: A \to B$ be a surjective function. Can we/ should we define the ratio of size of set $A$ : set $B$ wrt function $f$?

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#set-theory #order-theory #cardinals
261
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Can every ordinal be reachable from $\aleph_0$, in ZF?

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#set-theory #first-order-logic #cardinals
272
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"Weaker continuum hypothesis:" $2^{\aleph_0} < 2^{\aleph_1}$?

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#set-theory #cardinals
114
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SCH part of Jech's book

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#set-theory #cardinals
64
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Count a subset of a countably infinite set

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#elementary-set-theory #cardinals
201
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Books on infinite sets

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#reference-request #set-theory #cardinals #infinity #large-cardinals
64
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Is $|A| > |B|$?

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#set-theory #cardinals
70
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Bijection From $S = \{ -2, -1 \} \cup [0, 1]$ To $T = (0, 1)$

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#functions #cardinals
38
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Functions representable as a sum of a continuous function and a periodic function, and the axiom of choice.

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#real-analysis #continuity #cardinals #periodic-functions
98
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Is there a uniform way to define an upper bound on $|X|$ union of $|X|$-sized sets in ZF?

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#set-theory #cardinals #axiom-of-choice
71
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Can $\omega_2$ be the order type of a countable union of countable sets of ordinals?

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#set-theory #cardinals #axiom-of-choice #ordinals
48
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Reference Request: On the proof of $H(x)$ sets in ZF?

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#reference-request #set-theory #cardinals #axiom-of-choice
73
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Proof that two sets have the same cardinality

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#cardinals

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