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What's wrong with this proof that $\mathbb{R}$ cannot be well-ordered?

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#set-theory #order-theory #well-orders #infinitary-combinatorics
147
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Show that $C = C_A = \{\sigma < \omega_1 : M_{A,\sigma} \cap \omega_1 = \sigma\}$ is a club

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#logic #set-theory #model-theory #infinitary-combinatorics
124
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Proving that the partial order for adding a dominant real is weakly homogeneous

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#set-theory #order-theory #forcing #infinitary-combinatorics
146
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The Diamond Principle and Whitehead's problem

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#set-theory #infinitary-combinatorics
160
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Strong Finite Intersection Property and Pseudo-intersection (Kunen III.1.23)

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#proof-explanation #set-theory #infinitary-combinatorics
129
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tree property and arrow notation

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#set-theory #large-cardinals #infinitary-combinatorics
92
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Trying to understand the proof that the bounding number $\mathfrak{b}$ is uncountable

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#set-theory #cardinals #infinitary-combinatorics
64
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Tree without cofinal branches and with levels of bounded size

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#set-theory #infinitary-combinatorics
105
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Cofinality of functions $\mathbb N\to\mathbb N$ under eventual domination

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#logic #set-theory #cardinals #infinitary-combinatorics
164
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Help with an exercise from Kunen's book

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#set-theory #infinitary-combinatorics
190
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Finding where in Ramsey's theorem one uses the Axiom of choice

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#solution-verification #set-theory #axiom-of-choice #ramsey-theory #infinitary-combinatorics
30
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A CSP on bit vector operations

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#graph-theory #dynamic-programming #satisfiability #infinitary-combinatorics #constraint-programming
90
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Homogeneous Suslin tree in $L$ (Exercise 15.27 of Jech's Set Theory)

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#set-theory #infinitary-combinatorics
58
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Erdős–Rado theorem generalisation for infinitely many colours

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#combinatorics #set-theory #ramsey-theory #infinitary-combinatorics
49
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Modern/introductory books on partition relations/partition calculus?

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#reference-request #soft-question #book-recommendation #large-cardinals #infinitary-combinatorics

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