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An introduction is given to the logic of sheaves of structures and to settheoretic forcing constructions based on this logic. Using these tools, it ispresented an alternative proof of the independence of the Continuum Hypothesis;which simplifies and unifies the classical boolean and intuitionisticapproaches, avoiding the difficulties linked to the categorical machinery ofthe topoi based approach.

The logic of sheaves, sheaf forcing and the independence of the Continuum Hypothesis