{"paper":{"title":"The Drinker Paradox and its Dual","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"math.LO","authors_text":"Hannes Diener, Louis Warren, Maarten McKubre-Jordens","submitted_at":"2018-05-16T09:57:52Z","abstract_excerpt":"The Drinker Paradox is as follows.\n  In every nonempty tavern, there is a person such that if that person is drinking, then everyone in the tavern is drinking.\n  Formally, \\[\n  \\exists x \\big(\\varphi \\rightarrow \\forall y \\varphi[x/y]\\big) \\ . \\] Due to its counterintuitive nature it is called a paradox, even though it actually is a classical tautology. However, it is not minimally (or even intuitionistically) provable. The same can be said of its dual, which is (equivalent to) the well-known principle of \\emph{independence of premise}, \\[\n  \\varphi \\rightarrow \\exists x \\psi\n  \\ \\vdash \\ \\exi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06216","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}