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

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

2011-11-24

arxiv.org/abs/1111.5854v3

Mathematics

Logic

30 pages

Scientific paper

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

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