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https://mathoverflow.net/questions/21409/the-delta-system-lemma-outside-set-theory
soft question - the delta system lemma outside set theory - MathOverflow
The lemma: Any uncountable set $S$ of finite sets has an uncountable subset $\Delta \subseteq S$ and an $x$ such that $\forall a,b \in \Delta$, if $a \neq b$...
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https://mathoverflow.net/questions/21409/the-delta-system-lemma-outside-set-theory?noredirect=1
soft question - the delta system lemma outside set theory - MathOverflow
The lemma: Any uncountable set $S$ of finite sets has an uncountable subset $\Delta \subseteq S$ and an $x$ such that $\forall a,b \in \Delta$, if $a \neq b$...
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https://mathoverflow.net/questions/510100/omega-as-a-power
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Background. A set $X$ is Dedekind-finite, or D-finite, if every injection $\iota:X\to X$ is surjective. In ${\sf ZF}$, if $X$ is a D-finite set, its powerset...
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