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Forcing is a method first used to prove the continuum hypothesis is independent of the classical axioms of set theory

2 votes

Background for classic forcing

There is an article by Timothy Chow that gives background motivation and eases you in to forcing called "A beginner's guide to forcing"; it is of an expository nature, but there is still technical detail … Another article I would recommend would be "A cheerful introduction to forcing and the Continuum Hypothesis" by Kenny Easwaran; it is more technical than the first paper I linked but still very accesible …
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