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We found one dictionary that defines the word ramified forcing:

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  1. ramified forcing: Wiktionary

Definitions from Wiktionary (ramified forcing)

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

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