Difference between revisions of "Cellar"

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{{DISPLAYTITLE: The foundation}}
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{{DISPLAYTITLE: The cellar}}
  
 
This page will contain links to summary accounts of supporting foundational or background material used on the rest of the site.  
 
This page will contain links to summary accounts of supporting foundational or background material used on the rest of the site.  
  
  
We expect that this page and these resources will be greatly expanded as Cantor's attic develops.
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You may like to begin in the [[playroom]] for an entertaining introduction to infinity.  
  
* [[First steps]]
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Meanwhile, we expect that this page and these resources will be expanded as Cantor's attic develops.
* [[Cardinality]]
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== Definition of infinity ==
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* Short informal presentation of the concept of [[infinity]].
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* The [[first steps]] towards infinity.
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== Elementary set-theoretic topics ==
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* [[transitive]]
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* [[Ordering Relations|Basic Order Theory]]
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* [[ordinal]]
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* [[successor ordinal]]
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* [[limit ordinal]]
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* [[cardinality]]
 
* [[axiom of choice]]
 
* [[axiom of choice]]
* [[ZFC]], [[ZF]]
 
 
* [[stationary]], [[club]]
 
* [[stationary]], [[club]]
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* [[Hereditary cardinality]]
 
* [[ultrafilter]], [[measure]]
 
* [[ultrafilter]], [[measure]]
 
* [[ultrapower]]
 
* [[ultrapower]]
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* [[Partition property]]
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== Axiomatic set theories ==
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* [[Morse-Kelley set theory]]
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* [[ZFC|Zermelo-Fraenkel set theory]]
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* [[Positive set theory]]
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* [[Kripke-Platek|Kripke-Platek set theory]]
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== Forcing ==
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* [[forcing]]
 
* [[forcing]]
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* [[Boolean-valued models]]
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* [[Boolean ultrapowers]]
  
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== Canonical inner models ==
  
{{stub}}
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* The [[core model]]
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* The canonical model [[constructible universe | $L[\mu]$]] of one measurable cardinal
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* [[HOD]]
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* The [[constructible universe]]

Revision as of 09:37, 20 October 2018


This page will contain links to summary accounts of supporting foundational or background material used on the rest of the site.


You may like to begin in the playroom for an entertaining introduction to infinity.

Meanwhile, we expect that this page and these resources will be expanded as Cantor's attic develops.

Definition of infinity

Elementary set-theoretic topics

Axiomatic set theories

Forcing

Canonical inner models