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Conceptual alternatives: Competition in language and beyond
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In: Linguistics & Philosophy ; https://hal.archives-ouvertes.fr/hal-03102612 ; Linguistics & Philosophy, In press (2021)
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Referential and General Calls in Primate Semantics
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In: Linguistics & Philosophy ; https://hal.archives-ouvertes.fr/hal-03102596 ; Linguistics & Philosophy, In press (2021)
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The influence of polarity items on inferential judgments
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In: ISSN: 0010-0277 ; EISSN: 1873-7838 ; Cognition ; https://hal.archives-ouvertes.fr/hal-03516480 ; Cognition, Elsevier, 2021, 215, pp.104791. ⟨10.1016/j.cognition.2021.104791⟩ (2021)
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Referential and general calls in primate semantics
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In: ISSN: 0165-0157 ; EISSN: 1573-0549 ; Linguistics and Philosophy ; https://hal.archives-ouvertes.fr/hal-03516463 ; Linguistics and Philosophy, Springer Verlag, 2021, 44 (6), pp.1317-1342. ⟨10.1007/s10988-021-09322-1⟩ (2021)
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Suszko's Problem: Mixed Consequence and Compositionality
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In: https://hal.archives-ouvertes.fr/hal-03101560 ; 2021 (2021)
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Abstract:
Keywords: Suszko's thesis; truth value; logical consequence; mixed consequence; compositionality; truth-functionality; many-valued logic; algebraic logic; substructural logics; regular connectives ; Suszko's problem is the problem of finding the minimal number of truth values needed to semantically characterize a syntactic consequence relation. Suszko proved that every Tarskian consequence relation can be characterized using only two truth values. Malinowski showed that this number can equal three if some of Tarski's structural constraints are relaxed. By so doing, Malinowski introduced a case of so-called mixed consequence, allowing the notion of a designated value to vary between the premises and the conclusions of an argument. In this paper we give a more systematic perspective on Suszko's problem and on mixed consequence. First, we prove general representation theorems relating structural properties of a consequence relation to their semantic interpretation, uncovering the semantic counterpart of substitution-invariance, and establishing that (intersective) mixed consequence is fundamentally the semantic counterpart of the structural property of monotonicity. We use those to derive maximum-rank results proved recently in a different setting by French and Ripley, as well as by Blasio, Marcos and Wansing, for logics with various structural properties (reflexivity, transitivity, none, or both). We strengthen these results into exact rank results for non-permeable logics (roughly, those which distinguish the role of premises and conclusions). We discuss the underlying notion of rank, and the associated reduction proposed independently by Scott and Suszko. As emphasized by Suszko, that reduction fails to preserve compositionality in general, meaning that the resulting semantics is no longer truth-functional. We propose a modification of that notion of reduction, allowing us to prove that over compact logics with what we call regular connectives, rank results are maintained even if we request the preservation of truth-functionality and additional semantic properties.
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Keyword:
[MATH]Mathematics [math]
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URL: https://hal.archives-ouvertes.fr/hal-03101560/file/1707.08017.pdf
https://hal.archives-ouvertes.fr/hal-03101560
https://hal.archives-ouvertes.fr/hal-03101560/document
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| 7 |
The effect of three basic task features on the sensitivity of acceptability judgment tasks
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In: Glossa: a journal of general linguistics (2016-2021) ; https://hal.archives-ouvertes.fr/hal-03101517 ; Glossa: a journal of general linguistics (2016-2021), Ubiquity Press, 2020, 5 (1), pp.72. ⟨10.5334/gjgl.980⟩ (2020)
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Quantifier Spreading in Child Language as Distributive Inferences
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In: ISSN: 0024-3892 ; EISSN: 1530-9150 ; Linguistic Inquiry ; https://hal.archives-ouvertes.fr/hal-02474340 ; Linguistic Inquiry, Massachusetts Institute of Technology Press (MIT Press), 2020, 51 (1), pp.141-153. ⟨10.1162/ling_a_00340⟩ (2020)
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On the Spontaneous Emergence of Discrete and Compositional Signals
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In: ACL (Association for Computational Linguistics) ; https://hal.archives-ouvertes.fr/hal-03102628 ; ACL (Association for Computational Linguistics), Jul 2020, Online, United States (2020)
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| 11 |
Constraints on the lexicons of human languages have cognitive roots present in baboons ( Papio papio )
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In: ISSN: 0027-8424 ; EISSN: 1091-6490 ; Proceedings of the National Academy of Sciences of the United States of America ; https://hal.archives-ouvertes.fr/hal-02935155 ; Proceedings of the National Academy of Sciences of the United States of America , National Academy of Sciences, 2019, 116 (30), pp.14926-14930. ⟨10.1073/pnas.1907023116⟩ (2019)
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| 12 |
Children's Acquisition of Homogeneity in Plural Definite Descriptions
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In: EISSN: 1664-1078 ; Frontiers in Psychology ; https://hal.archives-ouvertes.fr/hal-02474298 ; Frontiers in Psychology, Frontiers, 2019, 10, ⟨10.3389/fpsyg.2019.02329⟩ (2019)
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| 13 |
Alternatives of disjunctions: when a disjunct contains the antecedent of a pronoun
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In: Snippets ; https://hal.archives-ouvertes.fr/hal-02474313 ; Snippets, 2019, pp.16-18. ⟨10.7358/snip-2019-037-buch⟩ (2019)
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Linguistic inferences without words
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In: ISSN: 0027-8424 ; EISSN: 1091-6490 ; Proceedings of the National Academy of Sciences of the United States of America ; https://hal.archives-ouvertes.fr/hal-02474335 ; Proceedings of the National Academy of Sciences of the United States of America , National Academy of Sciences, 2019, 116 (20), pp.9796-9801. ⟨10.1073/pnas.1821018116⟩ (2019)
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Connecting Content and Logical Words
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In: ISSN: 0167-5133 ; EISSN: 1477-4593 ; Journal of Semantics ; https://hal.archives-ouvertes.fr/hal-02474320 ; Journal of Semantics, Oxford University Press (OUP), 2019, 36 (3), pp.531-547. ⟨10.1093/jos/ffz001⟩ (2019)
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Connectedness as a constraint on exhaustification
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In: ISSN: 0165-0157 ; EISSN: 1573-0549 ; Linguistics and Philosophy ; https://hal.archives-ouvertes.fr/hal-02474325 ; Linguistics and Philosophy, Springer Verlag, 2019, ⟨10.1007/s10988-019-09286-3⟩ (2019)
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Distinctions between primary and secondary scalar implicatures
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In: ISSN: 0749-596X ; EISSN: 1096-0821 ; Journal of Memory and Language ; https://hal.archives-ouvertes.fr/hal-02474294 ; Journal of Memory and Language, Elsevier, 2019, 106, pp.150-171. ⟨10.1016/j.jml.2019.02.008⟩ (2019)
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SUSZKO’S PROBLEM: MIXED CONSEQUENCE AND COMPOSITIONALITY
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In: ISSN: 1755-0203 ; The review of symbolic logic ; https://hal.archives-ouvertes.fr/hal-02474305 ; The review of symbolic logic, Cambridge University Press, 2019, 12 (4), pp.736-767. ⟨10.1017/S1755020318000503⟩ (2019)
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Orangutans’ Comprehension of Zoo Keepers’ Communicative Signals
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In: ISSN: 2076-2615 ; Animals ; https://hal.archives-ouvertes.fr/hal-02432323 ; Animals, MDPI, 2019, 9 (6), pp.300. ⟨10.3390/ani9060300⟩ (2019)
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From many-valued consequence to many-valued connectives
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In: ISSN: 0039-7857 ; EISSN: 1573-0964 ; Synthese ; https://hal.archives-ouvertes.fr/hal-02474302 ; Synthese, Springer Verlag (Germany), 2019, ⟨10.1007/s11229-019-02344-0⟩ (2019)
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