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Explanatory Connectives
  1. Truth, Explanation, Minimalism.Cory Wright - 2018 - Synthese 195 (3):987-1009.
    Minimalists about truth contend that traditional inflationary theories systematically fail to explain certain facts about truth, and that this failure licenses a ‘reversal of explanatory direction’. Once reversed, they purport that their own minimal theory adequately explains all of the facts involving truth. But minimalists’ main objection to inflationism seems to misfire, and the subsequent reversal of explanatory direction, if it can be made sense of, leaves minimalism in no better explanatory position; and even if the objection were serviceable and (...)
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Conjunction
  1. An Epistemic Interpretation of Paraconsistent Weak Kleene Logic.Damian Szmuc - forthcoming - Logic and Logical Philosophy.
    This paper extends Fitting's epistemic interpretation of some Kleene logics, to also account for Paraconsistent Weak Kleene logic. To achieve this goal, a dualization of Fitting's "cut-down" operator is discussed, rendering a "track-down" operator later used to represent the idea that no consistent opinion can arise from a set including an inconsistent opinion. It is shown that, if some reasonable assumptions are made, the truth-functions of Paraconsistent Weak Kleene coincide with certain operations defined in this track-down fashion. Finally, further reflections (...)
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  2. Conjunction and Disjunction in Infectious Logics.Hitoshi Omori & Damian Szmuc - 2017 - In Alexandru Baltag, Jeremy Seligman & Tomoyuki Yamada (eds.), Logic, Rationality, and Interaction: 6th International Workshop. Berlin: Springer. pp. 268-283.
    In this paper we discuss the extent to which conjunction and disjunction can be rightfully regarded as such, in the context of infectious logics. Infectious logics are peculiar many-valued logics whose underlying algebra has an absorbing or infectious element, which is assigned to a compound formula whenever it is assigned to one of its components. To discuss these matters, we review the philosophical motivations for infectious logics due to Bochvar, Halldén, Fitting, Ferguson and Beall, noticing that none of them discusses (...)
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  3. Import‐Export and ‘And’.Matthew Mandelkern - forthcoming - Philosophy and Phenomenological Research.
    Import-Export says that a conditional 'If p, if q, r' is always equivalent to the conditional 'If p and q, r'. I argue that Import-Export does not sit well with a classical approach to conjunction: given some plausible and widely accepted principles about conditionals, Import-Export together with classical conjunction leads to absurd consequences. My main goal is to draw out these surprising connections. In concluding I argue that the right response is to reject Import-Export and adopt instead a limited version (...)
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  4. Expressing Permission.William B. Starr - 2016 - Semantics and Linguistic Theory 26:325-349.
    This paper proposes a semantics for free choice permission that explains both the non-classical behavior of modals and disjunction in sentences used to grant permission, and their classical behavior under negation. It also explains why permissions can expire when new information comes in and why free choice arises even when modals scope under disjunction. On the proposed approach, deontic modals update preference orderings, and connectives operate on these updates rather than propositions. The success of this approach stems from its capacity (...)
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  5. A Plural Reference Interpretation of Three-Dimensional Syntactic Trees.Friederike Moltmann - 2017 - In C. van Urk / H. Kotek / C. Halpert (eds.): A Pesky Set. Papers for David Pesetsky . MIT Working Papers in Linguistics (MITWPL) 80, MIT Cambridge (Mass.). Cambridge, MA:
    Various syntacticians have argued that coordinate structures involve a three-dimensional syntactic structure. This paper proposes an interpretation of three-dimensional syntactic structures in terms of plural reference and argues that such structures give further support for plural reference, the view that plural terms refer to several entities at once, rather than referring to a single plural individual.
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  6. What Do Quantifier Particles Do?Anna Szabolcsi - 2015 - Linguistics and Philosophy 38 (2):159-204.
    In many languages, the same particles that form quantifier words also serve as connectives, additive and scalar particles, question markers, roots of existential verbs, and so on. Do these have a unified semantics, or do they merely bear a family resemblance? Are they aided by silent operators in their varied roles―if yes, what operators? I dub the particles “quantifier particles” and refer to them generically with capitalized versions of the Japanese morphemes. I argue that both MO and KA can be (...)
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  7. Coordination and Comparatives.Friederike Moltmann - 1992 - Dissertation, MIT
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  8. On the Interpretation of Three-Dimensional Syntactic Trees.Friederike Moltmann - 1992 - In Chris Barker & David Dowty (eds.), Proceedings of Sinn und Bedeutung 2, Ohio State University.
    Syntacticians have proposed three-dimensional syntactic structures to account for the peculiarities of coordination. This paper proposes a way of interpreting such structures and gives an account of sentences of the sort 'John bought and Mary sold a total of ten cars' based on a notion of 'implicit' coordination.
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Disjunction
  1. Conjunction and Disjunction in Infectious Logics.Hitoshi Omori & Damian Szmuc - 2017 - In Alexandru Baltag, Jeremy Seligman & Tomoyuki Yamada (eds.), Logic, Rationality, and Interaction: 6th International Workshop. Berlin: Springer. pp. 268-283.
    In this paper we discuss the extent to which conjunction and disjunction can be rightfully regarded as such, in the context of infectious logics. Infectious logics are peculiar many-valued logics whose underlying algebra has an absorbing or infectious element, which is assigned to a compound formula whenever it is assigned to one of its components. To discuss these matters, we review the philosophical motivations for infectious logics due to Bochvar, Halldén, Fitting, Ferguson and Beall, noticing that none of them discusses (...)
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  2. Choice Points for a Modal Theory of Disjunction.Fabrizio Cariani - 2017 - Topoi 36 (1):171-181.
    This paper investigates the prospects for a semantic theory that treats disjunction as a modal operator. Potential motivation for such a theory comes from the way in which modals embed within disjunctions. After reviewing some of the relevant data, I go on to distinguish a variety of modal theories of disjunction. I analyze these theories by considering pairs of conflicting desiderata, highlighting some of the tradeoffs they must face.
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  3. Expressing Permission.William B. Starr - 2016 - Semantics and Linguistic Theory 26:325-349.
    This paper proposes a semantics for free choice permission that explains both the non-classical behavior of modals and disjunction in sentences used to grant permission, and their classical behavior under negation. It also explains why permissions can expire when new information comes in and why free choice arises even when modals scope under disjunction. On the proposed approach, deontic modals update preference orderings, and connectives operate on these updates rather than propositions. The success of this approach stems from its capacity (...)
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  4. Direct Vs. Indirect Disjunction of Wh-Complements, as Diagnosed by Subordinating Complementizers (2016).Anna Szabolcsi - manuscript
    Since the early 1980s, there has been a debate in the semantics literature pertaining to whether wh-interrogatives can be directly disjoined, as main clauses and as complements. Those who held that the direct disjunction of wh-interrogatives was in conflict with certain theoretical considerations proposed that they could be disjoined indirectly. Indirect disjunction proceeds by first lifting both wh-interrogatives and then disjoining them; it assigns matrix-level scope to OR. As we will see, the notorious theoretical need for indirect disjunction has disappeared (...)
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  5. What Do Quantifier Particles Do?Anna Szabolcsi - 2015 - Linguistics and Philosophy 38 (2):159-204.
    In many languages, the same particles that form quantifier words also serve as connectives, additive and scalar particles, question markers, roots of existential verbs, and so on. Do these have a unified semantics, or do they merely bear a family resemblance? Are they aided by silent operators in their varied roles―if yes, what operators? I dub the particles “quantifier particles” and refer to them generically with capitalized versions of the Japanese morphemes. I argue that both MO and KA can be (...)
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  6. Coordination and Comparatives.Friederike Moltmann - 1992 - Dissertation, MIT
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  7. Exclusive Disjunction and the Biconditional: An Even-Odd Relationship.Joseph S. Fulda - 1993 - Mathematics Magazine 66 (2):124.
    Proves two simple identities relating the biconditional and exclusive disjunction. -/- The PDF has been made available gratis by the publisher.
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  8. Failures of Categoricity and Compositionality for Intuitionistic Disjunction.Jack Woods - 2012 - Thought: A Journal of Philosophy 1 (4):281-291.
    I show that the model-theoretic meaning that can be read off the natural deduction rules for disjunction fails to have certain desirable properties. I use this result to argue against a modest form of inferentialism which uses natural deduction rules to fix model-theoretic truth-conditions for logical connectives.
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  9. Hungarian Disjunctions and Positive Polarity.Anna Szabolcsi - 2002 - In Istvan Kenesei & Peter Siptar (eds.), Approaches to Hungarian, Vol. 8. Univ. of Szeged.
    The de Morgan laws characterize how negation, conjunction, and disjunction interact with each other. They are fundamental in any semantics that bases itself on the propositional calculus/Boolean algebra. This paper is primarily concerned with the second law. In English, its validity is easy to demonstrate using linguistic examples. Consider the following: (3) Why is it so cold in here? We didn’t close the door or the window. The second sentence is ambiguous. It may mean that I suppose we did not (...)
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Negation
  1. Negation on the Australian Plan.Franz Berto & Greg Restall - forthcoming - Journal of Philosophical Logic.
    We present and defend the Australian Plan semantics for negation. This is a comprehensive account, suitable for a variety of different logics. It is based on two ideas. The first is that negation is an exclusion-expressing device: we utter negations to express incompatibilities. The second is that, because incompatibility is modal, negation is a modal operator as well. It can, then, be modelled as a quantifier over points in frames, restricted by accessibility relations representing compatibilities and incompatibilities between such points. (...)
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  2. Bilateralism: Negations, Implications and Some Observations and Problems About Hypotheses.Nils Kürbis - 2017 - In Thomas Piecha & Jean Fichot (eds.), Beyond Logic. Proceedings of the Conference held in Cerisy-la-Salle, 22-27 May 2017. Tübingen, Germany:
    This short paper has two loosely connected parts. In the first part, I discuss the difference between classical and intuitionist logic in relation to different the role of hypotheses play in each logic. Harmony is normally understood as a relation between two ways of manipulating formulas in systems of natural deduction: their introduction and elimination. I argue, however, that there is at least a third way of manipulating formulas, namely the discharge of assumption, and that the difference between classical and (...)
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  3. Molnar on Truthmakers for Negative Truths.Nils Kürbis - 2018 - Metaphysica 19 (2):251-257.
    Molnar argues that the problem of truthmakers for negative truths arises because we tend to accept four metaphysical principles that entail that all negative truths have positive truthmakers. This conclusion, however, already follows from only three of Molnar´s metaphysical principles. One purpose of this note is to set the record straight. I provide an alternative reading of two of Molnar´s principles on which they are all needed to derive the desired conclusion. Furthermore, according to Molnar, the four principles may be (...)
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  4. The Problem of Future Contingents: Scoping Out a Solution.Patrick Todd - forthcoming - Synthese:1-22.
    Various philosophers have long since been attracted to the doctrine that future contingent propositions systematically fail to be true - what is sometimes called the doctrine of the open future. However, open futurists have always struggled to articulate how their view interacts with standard principles of classical logic - most notably, with the Law of Excluded Middle (LEM). For consider the following two claims: (a) Trump will be impeached tomorrow; (b) Trump will not be impeached tomorrow. According to the kind (...)
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  5. Bilateralism, Independence and Coordination.Gonçalo Santos - 2018 - Teorema: International Journal of Philosophy 37 (1):23-27.
    Bilateralism is a theory of meaning according to which assertion and denial are independent speech acts. Bilateralism also proposes two coordination principles for assertion and denial. I argue that if assertion and denial are independent speech acts, they cannot be coordinated by the bilateralist principles.
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  6. Negative Findings in Electronic Health Records and Biomedical Ontologies: A Realist Approach.Werner Ceusters, Peter Elkin & Barry Smith - 2007 - International Journal of Medical Informatics 76 (3):S326-S333.
    PURPOSE—A substantial fraction of the observations made by clinicians and entered into patient records are expressed by means of negation or by using terms which contain negative qualifiers (as in “absence of pulse” or “surgical procedure not performed”). This seems at first sight to present problems for ontologies, terminologies and data repositories that adhere to a realist view and thus reject any reference to putative non-existing entities. Basic Formal Ontology (BFO) and Referent Tracking (RT) are examples of such paradigms. The (...)
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  7. Some Comments on Ian Rumfitt’s Bilateralism.Nils Kürbis - 2016 - Journal of Philosophical Logic 45 (6):623-644.
    Ian Rumfitt has proposed systems of bilateral logic for primitive speech acts of assertion and denial, with the purpose of ‘exploring the possibility of specifying the classically intended senses for the connectives in terms of their deductive use’ : 810f). Rumfitt formalises two systems of bilateral logic and gives two arguments for their classical nature. I assess both arguments and conclude that only one system satisfies the meaning-theoretical requirements Rumfitt imposes in his arguments. I then formalise an intuitionist system of (...)
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  8. Expressing Permission.William B. Starr - 2016 - Semantics and Linguistic Theory 26:325-349.
    This paper proposes a semantics for free choice permission that explains both the non-classical behavior of modals and disjunction in sentences used to grant permission, and their classical behavior under negation. It also explains why permissions can expire when new information comes in and why free choice arises even when modals scope under disjunction. On the proposed approach, deontic modals update preference orderings, and connectives operate on these updates rather than propositions. The success of this approach stems from its capacity (...)
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  9. Bilateralist Detours: From Intuitionist to Classical Logic and Back.Nils Kürbis - 2017 - Logique Et Analyse 60 (239):301-316.
    There is widespread agreement that while on a Dummettian theory of meaning the justified logic is intuitionist, as its constants are governed by harmonious rules of inference, the situation is reversed on Huw Price's bilateralist account, where meanings are specified in terms of primitive speech acts assertion and denial. In bilateral logics, the rules for classical negation are in harmony. However, as it is possible to construct an intuitionist bilateral logic with harmonious rules, there is no formal argument against intuitionism (...)
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  10. Proof-Theoretic Semantics, a Problem with Negation and Prospects for Modality.Nils Kürbis - 2015 - Journal of Philosophical Logic 44 (6):713-727.
    This paper discusses proof-theoretic semantics, the project of specifying the meanings of the logical constants in terms of rules of inference governing them. I concentrate on Michael Dummett’s and Dag Prawitz’ philosophical motivations and give precise characterisations of the crucial notions of harmony and stability, placed in the context of proving normalisation results in systems of natural deduction. I point out a problem for defining the meaning of negation in this framework and prospects for an account of the meanings of (...)
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  11. Polarity Judgments: An Empirical View.Paul Dedecker, Erik Larsson & Andrea Martin - manuscript
    An electronic poster from "Polarity from Different Perspectives," New York University, 2005. The authors present an experiment that investigated to what extent six negative polarity items (slept a wink, in ages, ever, much, at all, and yet) are licensed by 9 potential licensers.
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  12. A Modality Called ‘Negation’.Francesco Berto - 2015 - Mind 124 (495):761-793.
    I propose a comprehensive account of negation as a modal operator, vindicating a moderate logical pluralism. Negation is taken as a quantifier on worlds, restricted by an accessibility relation encoding the basic concept of compatibility. This latter captures the core meaning of the operator. While some candidate negations are then ruled out as violating plausible constraints on compatibility, different specifications of the notion of world support different logical conducts for negations. The approach unifies in a philosophically motivated picture the following (...)
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  13. Aserción, expresión y acción. Una lectura de J.L. Austin.Tomás Barrero - 2015 - Dianoia 60 (74):81-107.
    This paper offers a new interpretation of John Austin’s views both on assertion and on adverbs, as result of which an expressivist thesis concerning the semantics for action sentences is advanced. First, Austin’s analysis of assertion based on various, specific assertive forces and his remarks on adverbs are systematically connected in order to obtain assertive schemata for action sentences. Finally, those schemata are put to work as the expression of inferential commitments implicit in argumentative practices of different sorts (exculpatory, justificatory (...)
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  14. What is Wrong with Classical Negation?Nils Kürbis - 2015 - Grazer Philosophische Studien 92 (1):51-86.
    The focus of this paper are Dummett's meaning-theoretical arguments against classical logic based on consideration about the meaning of negation. Using Dummettian principles, I shall outline three such arguments, of increasing strength, and show that they are unsuccessful by giving responses to each argument on behalf of the classical logician. What is crucial is that in responding to these arguments a classicist need not challenge any of the basic assumptions of Dummett's outlook on the theory of meaning. In particular, I (...)
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  15. Nāgārjuna’s Catuṣkoṭi.Jan Westerhoff - 2005 - Journal of Indian Philosophy 34 (4):367-395.
    The catuṣkoṭi or tetralemma is an argumentative figure familiar to any reader of Buddhist philosophical literature. Roughly speaking it consists of the enumeration of four alternatives: that some propositions holds, that it fails to hold, that it both holds and fails to hold, that it neither holds nor fails to hold. The tetralemma also constitutes one of the more puzzling features of Buddhist philosophy as the use to which it is put in arguments is not immediately obvious and certainly not (...)
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  16. Truth and The Ambiguity of Negation.Teresa Marques - 2010 - In Erich Rast & Luiz Carlos Baptista (eds.), Meaning and Context. Peter Lang. pp. 2--235.
    This article has one aim, to reject the claim that negation is semantically ambiguous. The first section presents the putative incompatibility between truth-value gaps and the truth-schema; the second section presents the motivation for the ambiguity thesis; the third section summarizes arguments against the claim that natural language negation is semantically ambiguous; and the fourth section indicates the problems of an introduction of two distinct negation operators in natural language.
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  17. Überlegungen zur Vielfalt der "Nichts-Rede".Erwin Sonderegger - 1997 - Prima Philosophia 10 (3):341–257.
    The variety and ambiguity of our use of negation has often been classified according to the classes of negated terms. But if we take into account, first, the negations of possibility and necessity, and second, the negations of questions and wishes, it seems that not only negated expressions change, but the way to negate as well. If we consider that up to here every negation has only been a relative one, we may ask if it is possible to say „nothing“ (...)
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  18. Thinking is Believing.Eric Mandelbaum - 2014 - Inquiry: An Interdisciplinary Journal of Philosophy 57 (1):55-96.
    Inquiry, Volume 57, Issue 1, Page 55-96, February 2014.
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  19. Quantification, Negation, and Focus: Challenges at the Conceptual-Intentional Semantic Interface.Tista Bagchi - manuscript
    Quantification, Negation, and Focus: Challenges at the Conceptual-Intentional Semantic Interface Tista Bagchi National Institute of Science, Technology, and Development Studies (NISTADS) and the University of Delhi Since the proposal of Logical Form (LF) was put forward by Robert May in his 1977 MIT doctoral dissertation and was subsequently adopted into the overall architecture of language as conceived under Government-Binding Theory (Chomsky 1981), there has been a steady research effort to determine the nature of LF in language in light of structurally (...)
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  20. Hungarian Disjunctions and Positive Polarity.Anna Szabolcsi - 2002 - In Istvan Kenesei & Peter Siptar (eds.), Approaches to Hungarian, Vol. 8. Univ. of Szeged.
    The de Morgan laws characterize how negation, conjunction, and disjunction interact with each other. They are fundamental in any semantics that bases itself on the propositional calculus/Boolean algebra. This paper is primarily concerned with the second law. In English, its validity is easy to demonstrate using linguistic examples. Consider the following: (3) Why is it so cold in here? We didn’t close the door or the window. The second sentence is ambiguous. It may mean that I suppose we did not (...)
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  21. Embedding Denial.David Ripley - 2015 - In Colin Caret & Ole Hjortland (eds.), Foundations of Logical Consequence. Oxford University Press. pp. 289-309.
    Suppose Alice asserts p, and the Caterpillar wants to disagree. If the Caterpillar accepts classical logic, he has an easy way to indicate this disagreement: he can simply assert ¬p. Sometimes, though, things are not so easy. For example, suppose the Cheshire Cat is a paracompletist who thinks that p ∨ ¬p fails (in familiar (if possibly misleading) language, the Cheshire Cat thinks p is a gap). Then he surely disagrees with Alice's assertion of p, but should himself be unwilling (...)
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  22. Pluralism and the Logical Basis of Metaphysics.N. Kurbis - 2007 - In Logica Yearbook.
    I argue for a kind of logical pluralism on the basis of a difficulty with defining the meaning of negation in the framework of Dummett's and Prawitz' proof-theoretic semantics.
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  23. Moral Expressivism and Sentential Negation.Neil Sinclair - 2011 - Philosophical Studies 152 (3):385-411.
    This paper advances three necessary conditions on a successful account of sentential negation. First, the ability to explain the constancy of sentential meaning across negated and unnegated contexts (the Fregean Condition). Second, the ability to explain why sentences and their negations are inconsistent, and inconsistent in virtue of the meaning of negation (the Semantic Condition). Third, the ability of the account to generalize regardless of the topic of the negated sentence (the Generality Condition). The paper discusses three accounts of negation (...)
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  24. True and False: An Exchange.Roberto Casati & Achille C. Varzi - 2000 - In André Chapuis & Anil Gupta (eds.), Circularity, Definition, and Truth. Indian Council of Philosophical Research. pp. 365-370.
    Classically, truth and falsehood are opposite, and so are logical truth and logical falsehood. In this paper we imagine a situation in which the opposition is so pervasive in the language we use as to threaten the very possibility of telling truth from falsehood. The example exploits a suggestion of Ramsey’s to the effect that negation can be expressed simply by writing the negated sentence upside down. The difference between ‘p’ and ‘~~p’ disappears, the principle of double negation becomes trivial, (...)
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Connectives, Misc
  1. A Non-Uniform Semantic Analysis of the Italian Temporal Connectives Prima and Dopo.Del Prete Fabio - 2008 - Natural Language Semantics 16 (2):157-203.
    In this paper, I argue that the temporal connective prima (‘before’) is a comparative adverb. The argument is based on a number of grammatical facts from Italian, showing that there is an asymmetry between prima and dopo (‘after’). On the ground of their divergent behaviour, I suggest that dopo has a different grammatical status from prima. I propose a semantic treatment for prima that is based on an independently motivated analysis of comparatives which can be traced back to Seuren (in: (...)
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  2. Approximating the Limit: The Interaction Between Quasi 'Almost' and Some Temporal Connectives in Italian.Amaral Patrícia & Del Prete Fabio - 2010 - Linguistics and Philosophy 33 (2):51 - 115.
    This paper focuses on the interpretation of the Italian approximative adverb quasi 'almost' by primarily looking at cases in which it modifies temporal connectives, a domain which, to our knowledge, has been largely unexplored thus far. Consideration of this domain supports the need for a scalar account of the semantics of quasi (close in spirit to Hitzeman's semantic analysis of almost, in: Canakis et al. (eds) Papers from the 28th regional meeting of the Chicago Linguistic Society, 1992). When paired with (...)
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  3. Exclusive Disjunction and the Biconditional: An Even-Odd Relationship.Joseph S. Fulda - 1993 - Mathematics Magazine 66 (2):124.
    Proves two simple identities relating the biconditional and exclusive disjunction. -/- The PDF has been made available gratis by the publisher.
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