{"paper":{"title":"Physical propositions and quantum languages","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Claudio Garola","submitted_at":"2006-11-22T11:58:43Z","abstract_excerpt":"The word \\textit{proposition} is used in physics with different meanings, which must be distinguished to avoid interpretational problems. We construct two languages $\\mathcal{L}^{\\ast}(x)$ and $\\mathcal{L}(x)$ with classical set-theoretical semantics which allow us to illustrate those meanings and to show that the non-Boolean lattice of propositions of quantum logic (QL) can be obtained by selecting a subset of \\textit{p-testable} propositions within the Boolean lattice of all propositions associated with sentences of $\\mathcal{L}(x)$. Yet, the aforesaid semantics is incompatible with the stan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0611227","kind":"arxiv","version":1},"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"}