TL;DR
This paper provides an accessible overview of Cohen's forcing technique used to prove the independence of the continuum hypothesis, aimed at beginners in set theory and logic.
Contribution
It offers an intuitive, high-level explanation of forcing and its role in set theory, serving as a beginner's guide without detailed proofs.
Findings
Clarifies the conceptual framework of forcing
Highlights the significance of Cohen's proof in set theory
Serves as an educational resource for newcomers
Abstract
This expository paper, aimed at the reader without much background in set theory or logic, gives an overview of Cohen's proof (via forcing) of the independence of the continuum hypothesis. It emphasizes the broad outlines and the intuitive motivation while omitting most of the proofs. The reader must of course consult standard textbooks for the missing details, but this article provides a map of the forest so that the beginner will not get lost while forging through the trees.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Computability, Logic, AI Algorithms