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Intuitive motivation for the $\diamondsuit$-principle?

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#soft-question #set-theory #infinitary-combinatorics
206
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Help with exercise from Kunen (II. Ex. 51)

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#set-theory #infinitary-combinatorics
43
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Colexiographic ordering problem

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#combinatorics #infinitary-combinatorics #algebraic-combinatorics
67
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Density of $P(\kappa) / [\kappa]^{<\kappa}$

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#set-theory #infinitary-combinatorics
90
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Countable anti-chain in an Aronszajn tree

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#proof-verification #set-theory #infinitary-combinatorics
183
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Equivalents forms of $\diamondsuit$

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#set-theory #infinitary-combinatorics
163
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Every family $\mathscr{A} $ of sets satisfies $|\mathscr{A} \setminus \mathscr{A}| \geq |\mathscr{A}|$

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#elementary-set-theory #infinitary-combinatorics
98
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Prikry Hypothesis implies Kurepa Hypothesis

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#set-theory #infinitary-combinatorics
218
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About cardinalities of almost disjoint systems of functions

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#set-theory #cardinals #infinitary-combinatorics
560
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The Cantor Space and open, but not closed sets.

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#sequences-and-series #general-topology #descriptive-set-theory #infinitary-combinatorics
247
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Disjoint Refinement

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#set-theory #infinitary-combinatorics
442
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A special cofinal family in $(\omega^\omega,\le)$

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#set-theory #infinitary-combinatorics
237
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Tree, no uncountable antichains

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#set-theory #infinitary-combinatorics
104
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Ordinals closed under functions

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#set-theory #infinitary-combinatorics
142
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Club set functions coincide

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#set-theory #infinitary-combinatorics

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