Math 2.0

Concept

Generic

Summary

A generic filter of a poset P is a filter that intersects all dense subsets of P that are contained in some model M.

A generic extension of a model M is a model M[G] for some generic filter G.

Further reading

  1. Wikipedia, page 43580500, revision 1360947732, Glossary of set theory, section G. adopted
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Kindconcept
WritingW1 stated
Changed4 November 2026

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  • edge defines in: at least one definition (0 of 1)
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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