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The contextual logic
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In: https://hal.archives-ouvertes.fr/hal-03195162 ; 2022 (2022)
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A gentle introduction to Girard's Transcendental Syntax for the linear logician
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In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2022 (2022)
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Dialogical Logic
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In: ISSN: 1095-5054 ; Stanford Encyclopedia of Philosophy ; https://hal.archives-ouvertes.fr/hal-03651225 ; 2022, https://plato.stanford.edu/archives/sum2022/entries/logic-dialogical/ (2022)
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Game of Grounds
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In: Objects, Structures, and Logics ; https://hal.archives-ouvertes.fr/hal-03602786 ; Objects, Structures, and Logics, 339, Springer International Publishing, pp.259-286, 2022, Boston Studies in the Philosophy and History of Science, ⟨10.1007/978-3-030-84706-7_10⟩ (2022)
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Calculi of Epistemic Grounding Based on Prawitz’s Theory of Grounds
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In: ISSN: 0039-3215 ; EISSN: 1572-8730 ; Studia Logica ; https://hal.archives-ouvertes.fr/hal-03581352 ; Studia Logica, Springer Verlag (Germany), 2022, ⟨10.1007/s11225-021-09979-6⟩ (2022)
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Grounding, Quantifiers, and Paradoxes
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In: ISSN: 0022-3611 ; EISSN: 1573-0433 ; Journal of Philosophical Logic ; https://hal.archives-ouvertes.fr/hal-03187627 ; Journal of Philosophical Logic, Springer Verlag, 2021, 50, pp.1417-1448. ⟨10.1007/s10992-021-09604-w⟩ (2021)
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Abstract:
International audience ; The notion of grounding is usually conceived as an objective and explanatory relation. It connects two relata if one-the ground-determines or explains the other-the consequence. In the contemporary literature on grounding, much effort has been devoted to logically characterize the formal aspects of grounding, but a major hard problem remains: defining suitable grounding principles for universal and existential formulae. Indeed, several grounding principles for quantified formulae have been proposed, but all of them are exposed to reflexivity and symmetry paradoxes in some very natural contexts of application. We introduce in this paper a first-order formal system that captures the notion of grounding and avoids, in a novel and non-trivial way, both reflexivity and symmetry paradoxes. The presented system formally develops Bolzano's ideas on grounding by employing Hilbert's ε-terms and an adapted version of Fine's theory of arbitrary objects.
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Keyword:
[MATH.MATH-LO]Mathematics [math]/Logic [math.LO]; [SHS.PHIL]Humanities and Social Sciences/Philosophy; arbitrary objects; Bolzano; epsilon calculus; grounding; quantifiers
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URL: https://hal.archives-ouvertes.fr/hal-03187627 https://hal.archives-ouvertes.fr/hal-03187627/document https://hal.archives-ouvertes.fr/hal-03187627/file/fol-grounding-HAL.pdf https://doi.org/10.1007/s10992-021-09604-w
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Multiplicative Linear Logic from Logic Programs and Tilings
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In: https://hal.archives-ouvertes.fr/hal-02895111 ; 2021 (2021)
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A gentle introduction to Girard's Transcendental Syntax for the linear logician
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In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2021 (2021)
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Stellar Resolution: Multiplicatives - for the linear logician, through examples
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In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2021 (2021)
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A gentle introduction to Girard's Transcendental Syntax for the linear logician
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In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2021 (2021)
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Stellar Resolution: Multiplicatives - for the linear logician, through examples
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In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2021 (2021)
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Modelling predicates in propositional syntax ; Modélisation de prédicats dans la syntaxe propositionnelle
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In: https://hal.archives-ouvertes.fr/hal-03195162 ; 2021 (2021)
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Type-logical investigations: proof-theoretic, computational and linguistic aspects of modern type-logical grammars
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In: https://hal-lirmm.ccsd.cnrs.fr/tel-03452731 ; Computation and Language [cs.CL]. Université Montpellier, 2021 (2021)
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Logical foundations for hybrid type-logical grammars
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In: ISSN: 0925-8531 ; EISSN: 1572-9583 ; Journal of Logic, Language and Information ; https://hal-lirmm.ccsd.cnrs.fr/lirmm-02944393 ; Journal of Logic, Language and Information, Springer Verlag, In press (2021)
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Proofs, Grounds and Empty Functions: Epistemic Compulsion in Prawitz’s Semantics
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In: ISSN: 0022-3611 ; EISSN: 1573-0433 ; Journal of Philosophical Logic ; https://hal.archives-ouvertes.fr/hal-03319247 ; Journal of Philosophical Logic, Springer Verlag, 2021, ⟨10.1007/s10992-021-09621-9⟩ (2021)
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Denotational Semantics for Languages of Epistemic Grounding Based on Prawitz’s Theory of Grounds
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In: ISSN: 0039-3215 ; EISSN: 1572-8730 ; Studia Logica ; https://hal.archives-ouvertes.fr/hal-03372615 ; Studia Logica, Springer Verlag (Germany), 2021, ⟨10.1007/s11225-021-09969-8⟩ (2021)
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Proofs as games and games as proofs: dialogical semantics for logic and natural language. ; Les preuves vues comme des jeux et réciproquement : sémantique dialogique de langages naturels ou logiques.
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In: https://tel.archives-ouvertes.fr/tel-03553000 ; Logic in Computer Science [cs.LO]. Université de Montpellier, 2021. English (2021)
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Proofs as games and games as proofs: dialogical semantics for logic and natural language. ; Les preuves vues comme des jeux et réciproquement : sémantique dialogique de langages naturels ou logiques.
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In: https://tel.archives-ouvertes.fr/tel-03553000 ; Logic in Computer Science [cs.LO]. Université de Montpellier, 2021. English (2021)
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A categorical study of spectral dualities ; Une étude catégorique des dualités spectrales
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In: https://hal.archives-ouvertes.fr/tel-03609605 ; Category Theory [math.CT]. Université de Paris, 2021. English (2021)
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Mathematical works of Vladimir A. Uspensky: a commentary (Enlgish and Russian texts) ; Математические работы Владимира Андреевича Успенского: комментарии (английский и русский текст)
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In: Vladimir A. Uspensky. Non-mathematical works collection (Russian version) ; https://hal-lirmm.ccsd.cnrs.fr/lirmm-03059688 ; Vladimir A. Uspensky. Non-mathematical works collection (Russian version), 2020, 978-5-94282-675-8 (2020)
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