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Is it possible to iterate a function transfinite times?

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#logic #set-theory #ordinals #transfinite-recursion
527
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Direct proof of principle of transfinite induction

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#elementary-set-theory #induction #well-orders #transfinite-recursion
141
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Proving $V=V_{\sf On}$ in $\sf Z+Reg$

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#set-theory #recursion #axioms #transfinite-recursion
334
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Proof of the Principle of Transfinite Induction for On

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#elementary-set-theory #ordinals #transfinite-recursion
244
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Definition of addition by transfinite recursion.

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#set-theory #foundations #transfinite-recursion
147
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Primitive Recursive Functions

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#calculus #logic #recursive-algorithms #transfinite-recursion
204
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Infinitary logic and Undecidability

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#logic #set-theory #computer-science #transfinite-recursion
86
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How can I write a perfect set as $c$ many pairwise disjoint perfect sets

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#set-theory #descriptive-set-theory #transfinite-recursion #transfinite-induction
201
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Continuous function with some properties plus everywhere surjective function must be everywhere surjective

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#set-theory #transfinite-recursion #transfinite-induction
94
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Using transfinite induction to split $R$ to continuum many pairwise disjoint subsets of $R$

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#set-theory #transfinite-recursion #transfinite-induction
73
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Construction of an uncountable set using well ordering principle.

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#metric-spaces #transfinite-recursion
217
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Proving the cardinality of B<A (Terence Tao's Analysis I book Ex 8.5.15)

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#analysis #logic #transfinite-recursion #transfinite-induction
94
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What is the Turing degree of the set of True formula of Arithmetic whose order is an infinite ordinal

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#logic #ordinals #foundations #transfinite-recursion #reverse-math
53
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Equivalance relation for a mapping

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#equivalence-relations #transfinite-recursion
177
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On the cardinality of the closure of a subset of a dense subset

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#general-topology #cardinals #transfinite-recursion

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