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How does Reinhardt's extension of the set-theoretic universe beyond $V_\Omega$ work?

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#set-theory #ordinals #transfinite-recursion #alternative-set-theories #transfinite-induction
34
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Defining a function using transfinite recursion.

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#elementary-set-theory #transfinite-recursion
161
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family of pairwise disjoint sets in the complement of meager. set

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#set-theory #transfinite-recursion #transfinite-induction
429
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$\mathbb R$ as continuum many of pairwise disjoint of Bernstein sets

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#set-theory #transfinite-recursion #transfinite-induction
121
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Partition $\mathfrak c$-dense set to $\mathfrak c$- many dense set.

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#set-theory #transfinite-recursion #transfinite-induction
964
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Prove equivalence of Axiom of choice and Zorn's lemma

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#logic #order-theory #axiom-of-choice #transfinite-recursion
96
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Section on Rank in Enderton's Text.

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#logic #set-theory #definition #ordinals #transfinite-recursion
5k
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Transfinite Recursion

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#reference-request #set-theory #transfinite-recursion
272
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Justification of inductive definitions in formal ZFC

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#logic #set-theory #transfinite-recursion
180
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1 : 1 Mapping of integers to decimals

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#real-numbers #infinity #integers #transfinite-recursion
1.2k
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Intuition and "proof" of transfinite recursion

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#set-theory #ordinals #transfinite-recursion
286
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Defining Formulas with Transfinite Recursion.

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#set-theory #first-order-logic #ordinals #transfinite-recursion
82
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How to invoke transfinite recursion

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#set-theory #ordinals #transfinite-recursion
106
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Why doesn't transfinite recursion imply dependent axiom of choice

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#logic #set-theory #axiom-of-choice #transfinite-recursion #transfinite-induction
81
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How to prove this alternative version of transfinite recursion

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#set-theory #ordinals #transfinite-recursion #transfinite-induction

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