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Does every countable well-order inject into the real numbers?

Published on
#set-theory #order-theory #ordinals
153
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When is the (great) axiom of Union really needed

Published on
#set-theory #axioms #derived-functors
386
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Is a name a sheaf?

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#set-theory #forcing #topos-theory
65
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Confusion on a lemma concerning a club of substructures of $V_\kappa$

Published on
#set-theory
90
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Where can I find puzzles on countable and uncountable sets?

Published on
#reference-request #set-theory #puzzle
118
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Does every standard set have a standard cardinality?

Published on
#set-theory #first-order-logic #nonstandard-analysis
169
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The existence of $2^{\aleph_1}$ stationary subsets of $\omega_1$ such that the intersection of any two is at most countable under Principle Diamond.

Published on
#set-theory
71
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Proving one specific equivalent formulation of AC

Published on
#set-theory #axiom-of-choice
134
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Stationary sets and L

Published on
#set-theory
108
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An equivalent form of Martin's Axiom for $\kappa$.

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#set-theory
568
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Splitting a set into two uncountable pieces

Published on
#set-theory
89
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Can the following sequence be shown to necessarily exist w/o AoC?

Published on
#sequences-and-series #analysis #set-theory #axiom-of-choice
51
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Question about the existence of sets

Published on
#set-theory #cardinals
289
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Developing intuition for a world without AC

Published on
#reference-request #set-theory #self-learning #axiom-of-choice
323
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Proof of Natural Numbers using n+1 = n ∪ {n}

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#set-theory #natural-numbers #formal-proofs

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