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  "body": "\n## Summary\n\nIn set theory, **Ω-logic** is an infinitary logic and deductive system proposed by (txt) as part of an attempt to generalize the theory of determinacy of pointclasses to cover the structure $H_{\\aleph_2}$. Just as the axiom of projective determinacy yields a canonical theory of $H_{\\aleph_1}$, he sought to find axioms that would give a canonical theory for the larger structure. The theory he developed involves a controversial argument that the [[continuum hypothesis|0MN2MER9WN]] is false.\n",
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