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1
Grounding, Quantifiers, and Paradoxes
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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2
Grounding rules and (hyper-)isomorphic formulas
In: ISSN: 1448-5052 ; Australasian Journal of Logic ; https://hal.archives-ouvertes.fr/hal-02515104 ; Australasian Journal of Logic, Australasian Association for Logic, 2020, 17 (1), pp.70-80 (2020)
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3
Grounding rules for (relevant) implication
In: ISSN: 1958-5780 ; EISSN: 1166-3081 ; Journal of Applied Non-Classical Logics ; https://hal.archives-ouvertes.fr/hal-02953412 ; Journal of Applied Non-Classical Logics, Taylor & Francis, 2020, pp.26-55. ⟨10.1080/11663081.2020.1850048⟩ (2020)
Abstract: International audience ; In Poggiolesi (2020a) a definition of the notion of complete and immediate formal grounding in the background of a relevant framework has been introduced; this definition generates some intuitively acceptable grounding principles for relevant implication. In the present paper our aim is to construct a logic for the notion of complete and immediate formal grounding in a relevant framework based on that definition. Our logic will have the form of a calculus of natural deduction and will formalize the relation of grounding both as a meta-linguistic relation and as a connective. The calculus will contain grounding rules for relevant implication and will be proved to be sound and complete with respect to the original definition. Finally we will prove the deduction theorem at the grounding level, i.e. we will show that grounding formalized as a metalinguistic relation is equivalent to grounding formalized as a connective.
Keyword: [SHS.PHIL]Humanities and Social Sciences/Philosophy
URL: https://doi.org/10.1080/11663081.2020.1850048
https://hal.archives-ouvertes.fr/hal-02953412/document
https://hal.archives-ouvertes.fr/hal-02953412/file/groundingrulesforimplication9.pdf
https://hal.archives-ouvertes.fr/hal-02953412
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4
On the importance of being analytic. The paradigmatic case of the Logic of Proofs
In: Logique et analyse. - Brüssel : Vakgroep Wijsbegeerte 55 (2012) 219, 443-462
OLC Linguistik
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5
Display calculi and other modal calculi: a comparison
In: Synthese. - Dordrecht [u.a.] : Springer Science+Business Media 173 (2010) 3, 259-279
OLC Linguistik
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6
A contraction-free and cut-free sequent calculus for propositional dynamic logic
In: Studia logica. - Dordrecht : Springer Science + Business Media 94 (2010) 1, 47-72
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