Modals, Conditionals and Compositionality

This dissertation concerns three compositionality puzzles in the semantics of modality and conditionals. In particular, we will discuss modal concord, anankastic conditionals, and domain restricting if-clauses. Existing analyses of these phenomena, if compositional at all, achieve compositionality by fiddling with what the meaningful parts of the relevant constructions are. The present study improves on these analyses by reconciling compositionality with the assumption that all constituents involved are meaningful. I argue that for each puzzle the trick is to find the right semantics for the constituents involved

[1]  C. Fabricius-Hansen,et al.  Studien über das deutsche Verbum infinitum , 1958 .

[2]  Nuel D. Belnap,et al.  Conditional Assertion and Restricted Quantification , 1970 .

[3]  Zsófia Zvolenszky,et al.  Is a Possible-worlds Semantics of Modality Possible? A Problem for Kratzer's Semantics , 2002 .

[4]  Noam Chomsky Derivation by phase , 1999 .

[5]  R. L. Goodstein,et al.  Provability in logic , 1959 .

[6]  Saul Kripke,et al.  A completeness theorem in modal logic , 1959, Journal of Symbolic Logic.

[7]  Lou Goble,et al.  Being Good and Being Logical: Philosophical Groundwork for a New Deontic Logic , 1996 .

[8]  Possibility , 1912 .

[9]  Ernst Mally,et al.  Grundgesetze des Sollens : Elemente der Logik des Willens , 1926 .

[10]  Craige Roberts Modal subordination and pronominal anaphora in discourse , 1989 .

[11]  Rob A. von der Sandt Context and presupposition , 1988 .

[12]  Mark Steedman,et al.  Obligation and Possession , 2022 .

[13]  Simo Knuuttila Modalities in Medieval Philosophy , 1993 .

[14]  David Beaver Accommodating Topics , 2002, Context-Dependence in the Analysis of Linguistic Meaning.

[15]  Richard C. Jeffrey,et al.  On indeterminate conditionals , 1963 .

[16]  J. Coates The semantics of the modal auxiliaries , 1983 .

[17]  Ruth Barcan Marcus ITERATED DEONTIC MODALITIES , 1966 .

[18]  H. Savin,et al.  The projection problem for presuppositions , 1971 .

[19]  Ronald Fagin,et al.  Reasoning about knowledge , 1995 .

[20]  S. Wheeler,et al.  Real Conditionals , 2003 .

[21]  Noam Chomsky,et al.  The Minimalist Program , 1992 .

[22]  Tim Fernando,et al.  A Finite-state Approach to Events in Natural Language Semantics , 2004, J. Log. Comput..

[23]  H. D. Swart,et al.  Adverbs of quantification , 1991 .

[24]  Stephen Barker,et al.  E-Type Pronouns, DRT, Dynamic Semantics and the Quantifier/Variable-Binding Model , 1997 .

[25]  O. Jespersen Negation in English and other languages , 1917 .

[26]  Charles B. Cross,et al.  ‘Can’ and the logic of ability , 1986 .

[27]  J. van der Auwera,et al.  Modality’s semantic map , 1998 .

[28]  O. Van Word and Object , 1960 .

[29]  Irene Heim,et al.  The semantics of definite and indefinite noun phrases : a dissertation , 1982 .

[30]  C. Lewis,et al.  A Survey Of Symbolic Logic , 1920 .

[31]  Willard Van Orman Quine,et al.  Methods of Logic , 1951 .

[32]  G. Frege Über Sinn und Bedeutung , 1892 .

[33]  Angelika Kratzer,et al.  What ‘must’ and ‘can’ must and can mean , 1977 .

[34]  Sidney Greenbaum Verb-Intensifier Collocations in English: An Experimental Approach , 1970 .

[35]  Virginia Mary Brennan,et al.  Root and epistemic modal auxiliary verbs , 1993 .

[36]  F. Palmer,et al.  Mood and modality , 1986 .

[37]  Irene Heim,et al.  Semantics in generative grammar , 1998 .

[38]  Frank Jackson,et al.  VIII—Conditionals and Possibilia , 1981 .

[39]  S. Philippe,et al.  Conditionals as Definite Descriptions (A Referential Analysis) , 2002 .

[40]  M. Halliday Functional diversity in language as seen from a consideration of modality and mood in English , 1970 .

[41]  Barry Schein Adverbial, descriptive reciprocals , 2003 .

[42]  Joan L. Bybee,et al.  The Evolution of Grammar: Tense, Aspect, and Modality in the Languages of the World , 1994 .

[43]  Liliane Haegeman,et al.  The Syntax of Negation , 1995 .

[44]  Gerald Gazdar,et al.  Pragmatics: Implicature, Presupposition, and Logical Form , 1978 .

[45]  R Fox,et al.  Moral dilemmas. , 1998, Journal of the Royal Society of Medicine.

[46]  Bart Geurts Presupposing , 1995 .

[47]  Raffaella Zanuttini,et al.  Syntactic properties of sentential negation : a comparative study of Romance languages , 1991 .

[48]  Carl G. Hempel,et al.  I.—STUDIES IN THE LOGIC OF CONFIRMATION (II.) , 1945 .

[49]  D. Abusch Sequence of Tense and Temporal de re , 1997 .

[50]  Michael R. Perkins,et al.  Modal Expressions in English , 1983 .

[51]  Robert Stalnaker A Defense of Conditional Excluded Middle , 1980 .

[52]  M. Dummett Truth and other enigmas , 1978 .

[53]  D. Raffman,et al.  Marcus, Ruth Barcan , 1996 .

[54]  Kai von Fintel,et al.  NPI Licensing, Strawson Entailment, and Context Dependency , 1999, J. Semant..

[55]  Lauri Karttunen,et al.  Possible and Must , 1972 .

[56]  B. Jack Copeland,et al.  The Genesis of Possible Worlds Semantics , 2002, J. Philos. Log..

[57]  Michael T. Wescoat,et al.  Proceedings of the West Coast Conference on Formal Linguistics , 1983 .

[58]  R. M. Hare,et al.  Norm and Action: A Logical Enquiry. , 1965 .

[59]  Hector-Neri Castañeda,et al.  ‘Ought’ and ‘Better’ , 1973 .

[60]  Michela Ippolito Presuppositions and Implicatures in Counterfactuals , 2003 .

[61]  Donna Jo Napoli,et al.  Agreement and anaphora : a study of the role of pronouns in syntax and discourse , 1985 .

[62]  Ortiz de Urbina Negation in Syntax : On the Nature of Functional Categories and Projections , 2022 .

[63]  Jeroen van Rijen,et al.  Doing the best we can : an essay in informal deontic logic , 1993 .

[64]  Georg Henrik Deontic Logic: A Personal View , 1999 .

[65]  H. Rullmann,et al.  Modality in St ' at ' imcets * , 2022 .

[66]  Donald Nute,et al.  Counterfactuals , 1975, Notre Dame J. Formal Log..

[67]  J. Haiman Conditionals are topics , 1978 .

[68]  S. Iatridou Topics in conditionals , 1991 .

[69]  David Lewis Counterfactual Dependence and Time's Arrow , 1979 .

[70]  A. Kratzer Conditional Necessity and Possibility , 1979 .

[71]  Brian F. Chellas Modal Logic: Normal systems of modal logic , 1980 .

[72]  E. H. Hutten,et al.  SEMANTICS , 1953, The British Journal for the Philosophy of Science.

[73]  吴道平 Everything That Linguists Have Always Wanted to Know About Logic But Were Ashamed to Ask , 1985 .

[74]  Michael McDermott,et al.  On the Truth Conditions of Certain 'If-Sentences , 1996 .

[75]  Kjell Johan Sæbø,et al.  Necessary Conditions in a Natural Language , 2002 .

[76]  B. Geurts On an ambiguity in quantified conditionals , 2004 .

[77]  F. Ramsey General Propositions and Causality , 1931 .

[78]  Ray Jackendoff,et al.  Semantic Interpretation in Generative Grammar , 1972 .

[79]  Rodney Huddleston,et al.  Some theoretical issues in the description of the english verb , 1976 .

[80]  S. Wurmbrand Modal Verbs Must Be Raising Verbs , 2000 .

[81]  Uli Sauerland,et al.  Total Reconstruction, PF Movement, and Derivational Order , 2002, Linguistic Inquiry.

[82]  Paul Dekker,et al.  On If and Only , 2001 .

[83]  J. L. Mackie,et al.  Truth, probability and paradox , 1973 .

[84]  Saul A. Kripke,et al.  Semantical Analysis of Modal Logic I Normal Modal Propositional Calculi , 1963 .

[85]  G. P. Henderson,et al.  An Essay in Modal Logic. , 1953 .

[86]  Eve Sweetser,et al.  From Etymology to Pragmatics: Preface , 1990 .

[87]  R. May Logical Form: Its Structure and Derivation , 1985 .

[88]  P. Portner THE SEMANTICS OF MOOD, COMPLEMENTATION, AND CONVERSATIONAL FORCE , 1997 .

[89]  K. Fintel Would You Believe It? The King of France is Back! (Presuppositions and Truth-Value Intuitions) , 2001 .

[90]  Yael Cohen Ravens and relevance , 1987 .

[91]  Toshiyuki Ogihara Counterfactuals, Temporal Adverbs, and Association with Focus , 2000 .

[92]  Max J. Cresswell,et al.  A New Introduction to Modal Logic , 1998 .

[93]  Wilfrid S. Sellars,et al.  III.—INFERENCE AND MEANING , 1953 .

[94]  F. Kiefer ON DEFINING MODALITY , 1987 .

[95]  H. Kamp,et al.  On Context Dependence In Modal Constructions , 1997 .

[96]  Christopher Menzel,et al.  Logic and Reality: Essays on the Legacy of Arthur Prior , 2000 .

[97]  S. Iatridou The Grammatical Ingredients of Counterfactuality , 2000, Linguistic Inquiry.

[98]  A. Avramides Studies in the Way of Words , 1992 .

[99]  Theo M. V. Janssen,et al.  Frege, Contextuality and Compositionality , 2001, J. Log. Lang. Inf..

[100]  H. P. Rickman,et al.  ESCAPISM: THE LOGICAL BASIS OF ETHICS , 1963 .

[101]  B. Geurts Presuppositions and Pronouns , 1999 .

[102]  Richard E. Grandy,et al.  Conditional Assertions and “Biscuit” Conditionals , 1999 .

[103]  N. Rescher,et al.  The coherence theory of truth , 1973 .

[104]  Thomas A. Werner,et al.  Deducing the future and distinguishing the past : temporal interpretation in modal sentences in English , 2003 .

[105]  E. W. Adams,et al.  The logic of conditionals , 1975 .

[106]  Anna Papafragou,et al.  Modality: Issues in the Semantics-Pragmatics Interface , 2000 .

[107]  B. V. Fraassen Values and the Heart's Command , 1973 .

[108]  李幼升,et al.  Ph , 1989 .

[109]  F. Palmer Modality and the English modals , 1979 .

[110]  Allan Gibbard,et al.  Two Recent Theories of Conditionals , 1980 .

[111]  Kai von Finkel Quantifiers and ‘If’‐Clauses , 1998 .

[112]  Hedde Zeijlstra,et al.  Sentential negation and negative concord , 2004 .

[113]  Kontekst en presuppositie: een studie van het projektieprobleem en de presuppositionele eigenschappen van de logische konnektieven , 1982 .

[114]  D. Lewis Probabilities of Conditionals and Conditional Probabilities , 1976 .

[115]  David Lewis,et al.  Ordering semantics and premise semantics for counterfactuals , 1981, J. Philos. Log..

[116]  P. Strawson,et al.  Introduction to Logical Theory. , 1954 .

[117]  C. Lewis IV.—IMPLICATION AND THE ALGEBRA OF LOGIC , 1912 .

[118]  A. Kenny Human Abilities and Dynamic Modalities , 1976 .

[119]  Risto Hilpinen,et al.  New Studies in Deontic Logic , 1981 .

[120]  David Adger,et al.  Core Syntax: A Minimalist Approach , 2003 .

[121]  J. Bennett A Philosophical Guide to Conditionals , 2003 .

[122]  T. Reinhart Quantifier Scope: How labor is Divided Between QR and Choice Functions , 1997 .

[123]  Rob A. van der Sandt,et al.  Presupposition Projection as Anaphora Resolution , 1992, J. Semant..

[124]  Leo Hoye,et al.  Adverbs and Modality in English , 1997 .

[125]  Kai von Fintel,et al.  If and When If -Clauses Can Restrict Quantifiers∗ , 2002 .

[126]  A. Kratzer Semantik der Rede : Kontexttheorie, Modalwörter, Konditionalsätze , 1978 .

[127]  S. Knuuttila The Emergence of Deontic Logic in the Fourteenth Century , 1981 .

[128]  D. Fox Reconstruction, Binding Theory, and the Interpretation of Chains , 1999, Linguistic Inquiry.

[129]  E. Traugott,et al.  Scope and the development of epistemic modality: evidence from ought to , 1997, English Language and Linguistics.

[130]  J. McKinsey,et al.  The Problem of Counterfactual Conditionals. , 1947 .

[131]  D. Over,et al.  Studies in the Way of Words. , 1989 .

[132]  Frank Jackson,et al.  On the semantics and logic of obligation , 1985 .

[133]  Ivan A. Sag,et al.  Negation And Negative Concord In Romance , 2000 .

[134]  B. V. Fraassen Singular Terms, Truth-Value Gaps, and Free Logic , 1966 .

[135]  J. Ross Auxiliaries as main verbs , 1969 .

[136]  Ernstpeter Maurer,et al.  Quine, Willard Van Orman , 2004 .

[137]  Peter Milne,et al.  Bruno de Finetti and the Logic of Conditional Events , 1997, The British Journal for the Philosophy of Science.

[138]  J. Nuyts Epistemic Modality, Language, and Conceptualization: A cognitive-pragmatic perspective , 2001 .

[139]  J. Hintikka Knowledge and belief , 1962 .

[140]  F.J.M.M. Veltman,et al.  Logics for conditionals. , 1985 .

[141]  J. Dewey Studies In Logical Theory , 1904 .

[142]  R. Quirk A Grammar of contemporary English , 1974 .

[143]  Frank Jackson,et al.  On Assertion and Indicative Conditionals , 1979 .

[144]  N. Campbell Formal Logic. , 1931, Nature.

[145]  Nuel D. Belnap,et al.  Restricted Quantification and Conditional Assertion , 1973 .

[146]  Robert Stalnaker A Theory of Conditionals , 2019, Knowledge and Conditionals.

[147]  G. Cinque Adverbs and functional heads , 1999 .

[148]  H. B. Drubig ON THE SYNTACTIC FORM OF EPISTEMIC MODALITY , 2001 .

[149]  William Harper,et al.  Ifs. Conditionals, Belief, Decision, Chance, and Time , 1981 .

[150]  H. Herzberger Counterfactuals and Consistency , 1979 .

[151]  F. Ramsey The Foundations of Mathematics and Other Logical Essays , 2001 .

[152]  E. Crevels Concession. A typological study , 2000 .

[153]  R. May The grammar of quantification , 1978 .