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Transfinite induction for collections that are not classes

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#set-theory #transfinite-induction
64
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Transfinite induction on a ascending chain of subgroups.

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#group-theory #proof-writing #transfinite-induction
90
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For any well ordered set S, is SX[0,1) path connected?

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#general-topology #ordinals #path-connected #transfinite-induction
86
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Transfinite Construction in Differential Fields proof

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#abstract-algebra #logic #field-theory #model-theory #transfinite-induction
533
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Metric spaces where each point sees each distance exactly once

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#metric-spaces #additive-combinatorics #transfinite-induction
107
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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
82
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How to prove this alternative version of transfinite recursion

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#set-theory #ordinals #transfinite-recursion #transfinite-induction
186
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Why transfinite induction only works on well-ordered set?

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#set-theory #transfinite-induction
36
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Induction on Directed Acyclic Graphs with Root / Polytree

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#graph-theory #induction #transfinite-induction
88
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Infinite induction

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#induction #relations #transfinite-induction
49
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"Continuity" of properties

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#logic #set-theory #transfinite-induction
41
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Choosing parameters when doing induction

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#logic #set-theory #induction #transfinite-induction
30
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Mathematical induction and completness of metric space

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#logic #metric-spaces #induction #complete-spaces #transfinite-induction
44
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Recursive definition for the sum of a transfinite sequence of ordinals

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#solution-verification #set-theory #transfinite-recursion #transfinite-induction
43
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If $X_1$,$X_2$ are wosets isomorphic to ordinals $\alpha_1,\alpha_2$ then $X_1\times X_2$ is isomorphic to $\alpha_2\cdot \alpha_1$

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#solution-verification #ordinals #well-orders #transfinite-induction

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