{"paper":{"title":"Guises and Perspectives: An Intentional and Hyperintensional Sketch","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Guises act as primary semantic objects showing relations to be internal perspectives rather than external links.","cross_cats":["math.HO","math.LO"],"primary_cat":"cs.LO","authors_text":"Juan J. Colomina-Alminana","submitted_at":"2026-05-14T17:47:52Z","abstract_excerpt":"This paper develops a formal logic for guises based on the work of H\\'ector-Neri Casta\\~neda, who understood relations from an internalist viewpoint, following Leibniz. We introduce a syntax, model theory, and proof theory for an intensional logic in which guises (taken as bundles of properties equipped with intention) serve as primary semantic objects. The system integrates (i) a Leibnizian containment semantics for singular truths, (ii) an intentional operator that captures internal relations among guises, and (iii) a modal layer for possibility and necessity modeled as maximally consistent "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The result is a selfcontained formal framework that demonstrates that relations are not external causal links but intentional internal structures encoded in the guises through which agents and objects are conceived: i.e., they are perspectives.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That guises can serve as primary semantic objects and that the proposed integration of Leibnizian containment semantics, the intentional operator, and modal closures produces a consistent system supporting the claimed metatheoretic results such as soundness and completeness.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Develops a new intensional logic system in which guises serve as primary objects to represent relations as intentional internal structures rather than external links.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Guises act as primary semantic objects showing relations to be internal perspectives rather than external links.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"090a7d53f3a7e785a7c0251af35445e994d7be3bbd1b4b01d87704d66b035b7e"},"source":{"id":"2605.15144","kind":"arxiv","version":1},"verdict":{"id":"edb61214-efff-4805-b0c9-416810fb0249","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T02:50:36.032863Z","strongest_claim":"The result is a selfcontained formal framework that demonstrates that relations are not external causal links but intentional internal structures encoded in the guises through which agents and objects are conceived: i.e., they are perspectives.","one_line_summary":"Develops a new intensional logic system in which guises serve as primary objects to represent relations as intentional internal structures rather than external links.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That guises can serve as primary semantic objects and that the proposed integration of Leibnizian containment semantics, the intentional operator, and modal closures produces a consistent system supporting the claimed metatheoretic results such as soundness and completeness.","pith_extraction_headline":"Guises act as primary semantic objects showing relations to be internal perspectives rather than external links."},"references":{"count":15,"sample":[{"doi":"","year":1983,"title":"Barwise, Jon, and John Perry. 1983. Situations and Attitudes. Cambridge, MA: MIT Press. 11 Notice that {b} ⊆ κ({b}) and {b} ⊆ {a} is not possible. Therefore, R({b}, {a}) fails. Nevertheless, realize t","work_id":"0f0f58f5-4040-47bc-86ac-6751f5725816","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1982,"title":"Bealer, George. 1982. Quality and Concept. 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