Difference between revisions of "Cellar"

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{{DISPLAYTITLE: The cellar}}
 
{{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.  
 
  
 
You may like to begin in the [[playroom]] for an entertaining introduction to infinity.  
 
You may like to begin in the [[playroom]] for an entertaining introduction to infinity.  
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Meanwhile, we expect that this page and these resources will be expanded as Cantor's attic develops.
 
Meanwhile, we expect that this page and these resources will be expanded as Cantor's attic develops.
  
== Definition of [[infinity]] ==
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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.
  
 
== Elementary set-theoretic topics ==  
 
== Elementary set-theoretic topics ==  
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* [[cardinality]]
 
* [[cardinality]]
 
* [[axiom of choice]]
 
* [[axiom of choice]]
* [[ZFC]], [[ZF]]
 
 
* [[stationary]], [[club]]
 
* [[stationary]], [[club]]
* [[Hereditary Cardinality]]
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* [[Hereditary cardinality]]
 
* [[ultrafilter]], [[measure]]
 
* [[ultrafilter]], [[measure]]
 
* [[ultrapower]]
 
* [[ultrapower]]
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* [[Partition property]]
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* [[model]]
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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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* [[New Foundations]]
  
 
== Forcing ==  
 
== Forcing ==  
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* [[Boolean ultrapowers]]
 
* [[Boolean ultrapowers]]
  
 
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[[Category:The cellar]]
== Canonical inner models ==
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* The [[core model]]
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* The canonical model [[L_mu | $L[\mu]$]] of one measurable cardinal
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* [[HOD]]
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* The [[L | constructible universe]]
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{{stub}}
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Latest revision as of 22:38, 21 August 2021

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