ramified forcing

Fetched 2026-10-26 (cache).

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Noun

1. {{lb|en|set theory}} The original form of [[forcing]], starting with a [[model]] {{math|''M''}} of set theory in which the [[axiom of constructibility]], {{math|1=''V'' = ''L''}}, holds, and then building up a larger model {{math|''M''[''G'']}} of [[Zermelo-Fraenkel set theory]] by adding a generic [[subset]] {{math|''G''}} of a [[partially ordered set]] to {{math|''M''}}, imitating {{w|Kurt Gödel}}'s constructible hierarchy.

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