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Paycheck Pronouns, Bach-Peters Sentences, and Variable-Free Semantics

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This paper argues for the hypothesis of direct compositionality (as in, e.g., Montague 1974), according to which the combinatory syntactic rules specify a set of well-formed expressions while the semantic combinatory rules work in tandem to directly supply a model-theoretic interpretation to each expression as it is "built" in the syntax. (This thus obviates the need for any level like LF and, concomitantly, for any rules mapping surface structures to such a level.) I focus here on one related group of phenomena: the interaction of "paycheck" pronouns with Weak Crossover effects and i-within-i effects. These interactions were studied in Jacobson (1977) as they show up in Back-Peters sentences. There I argued that these interactions show that paycheck pronouns have a complex representation at LF; here I show that all of the observations in this earlier work are compatible with the hypothesis of direct compositionality. The key tool is the adoption of a variation-free semantics (a semantics which makes no use of variables as part of the semantic machinery). In addition to the general consequences for the syntax/semantics interface, there are two other main results. First, I provide new arguments for a variable-free semantics. For example, it will be shown that under this view the paycheck reading of a pronoun comes for free; most other theories posit additional mechanisms and/or an additional lexical meaning for pronouns, and thus paycheck and regular pronouns are only accidentally homophonous. Second, I reiterate one of the central points in Jacobson (1977): this is that the first pronoun in a Bach-Peters sentence is indeed a paycheck pronoun, and hence nothing special needs to be said about these sentences nor does any new machinery need to be invoked for them.

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REFERENCES

  • Bach, E.: 1968, 'Nouns and Noun Phrases', in E. Bach and R. Harms (eds.), Universals in Linguistic Theory, pp. 90-122. Holt, Rinehart and Winston, New York.

    Google Scholar 

  • Bach, E.: 1970, 'Problominalization', Linguistic Inquiry 1, 121-122.

    Google Scholar 

  • Bach, E.: 1979, 'Control in Montague Grammar', Linguistic Inquiry 10, 515-531.

    Google Scholar 

  • Bach, E.: 1980, 'In Defense of Passive', Linguistic and Philosophy 3, 297-341.

    Google Scholar 

  • Bach, E. and B. Partee: 1980, 'Anaphora and Semantic Structure', in K. J. Kreiman and A. E. Ojeda (eds.), Papers from the Parasession on Pronouns and Anaphora, pp. 1-28. Chicago Linguistic Society, Chicago.

    Google Scholar 

  • Bittner, M.: 1998, 'Cross-Linguistic Semantics for Questions', Linguistics and Philosophy 21, 1-82.

    Google Scholar 

  • Buekema, F. and T. Hoekstra: 1984, 'Extractions from With-Constructions', Linguistic Inquiry 15, 689-698.

    Google Scholar 

  • Chierchia, G.: 1990, 'Anaphora and Attitudes De Se', in R. Bartsch et al. (eds.), Language in Action, pp. 1-32. Foris, Dordrecht.

    Google Scholar 

  • Chierchia, G.: 1991, 'Functional WH and Weak Crossover', in D. Bates (ed.), Proceedings of WCCFL 10, pp. 75-90. CSLI Publishers, Stanford.

    Google Scholar 

  • Chierchia, G.: 1993, 'Questions with Quantifiers', Natural Language Semantics 1, 181-234.

    Google Scholar 

  • Chierchia, G.: 1995, Dynamics of Meaning: Anaphora, Presupposition, and the Theory of Grammar. The University of Chicago Press, Chicago.

    Google Scholar 

  • Chomsky, N.: 1970, 'Remarks on Nominalization', in R. Jacobs and P. Rosenbaum (eds.), Readings in English Transformational Grammar, pp. 184-221. Ginn and Company, Waltham, Mass.

    Google Scholar 

  • Chomsky, N.: 1976, 'Conditions on Rules of Grammar', Linguistic Analysis 2, 303-356. (Reprinted in Chomsky, N., Essays on Form and Interpretation. New York: North Holland, 1977.)

    Google Scholar 

  • Chomsky, N.: 1981, Lectures on Government and Binding. Foris, Dordrecht.

    Google Scholar 

  • Clark, R. and E. Kennan: 1985, 'The Absorption Operator and Universal Grammar', The Linguistic Review 5, 113-135.

    Google Scholar 

  • Cole, P.: 1974, 'Backward Pronominalization and Analogy', Linguistic Inquiry 5, 425-434.

    Google Scholar 

  • Cooper, R.: 1979, 'The Interpretation of Pronouns', Syntax and Semantics 10, 61-92.

    Google Scholar 

  • Culy, C.: 1985, 'The Complexity of the Vocabulary of Bambara', Linguistics and Philosophy 8, 345-352.

    Google Scholar 

  • Curry, H. and R. Feys: 1958, Combinatory Logic. North Holland, Amsterdam.

    Google Scholar 

  • Dekker, P.: 1994, 'Predicate Logic with Anaphora', Proceedings of the Fourth Conference on Semantics and Linguistic Theory. Cornell Working Papers in Linguistics, Cornell University, Ithaca, N.Y.

    Google Scholar 

  • Dik, S.: 1973, 'Crossing Coreference Again', Foundations of Language 9, 306-325.

    Google Scholar 

  • Dowty, D.: 1982, 'Grammatical Relations and Montague Grammar', in P. Jacobson and G. K. Pullum (eds.), The Nature of Syntactic Representation, pp. 79-130, Reidel, Dordrecht.

    Google Scholar 

  • Dowty, D.: 1988, 'Type Raising, Functional Composition, and Non-Constituent Conjunction', in R. Oehrle (eds.), Categorial Grammars and Natural Language Structures, pp. 153-198. Reidel, Dordrecht.

    Google Scholar 

  • Dowty, D.: 1992, '“Variable-Free” Syntax, Variable-Binding Syntax, The Natural Deduction Lambek Calculus, and the Crossover Constraint', in Proceedings of the 11th Meeting of the West Coast Conference on Formal Linguistics, pp. 161-176. CSLI Publications, Stanford.

    Google Scholar 

  • Dowty, D.: 1999, 'Natural Language Anaphora and Type Logical Syntax', paper presented at the Formal Grammar 1999 conference, Utrecht.

  • Engdahl, E.: 1986, Constituent Questions. Reidel, Dordrecht.

    Google Scholar 

  • Engdahl, E.: 1988, 'Relational Interpretation', in R. Kempson (ed.), Mental Representations: The Interface between Language and Reality, pp. 63-82. Cambridge University Press, Cambridge.

    Google Scholar 

  • Engdahl, E.: 1990, 'Argument Roles and Anaphora', in R. Cooper et al. (eds.), Situation Theory and its Applications, Vol. 1, pp. 393-407. CSLI Publications, Stanford.

    Google Scholar 

  • Epstein, S.: 1989, 'Adjunction and Pronominal Variable Binding', Linguistic Inquiry 20, 307-319.

    Google Scholar 

  • Evans, G.: 1977, 'Pronouns, Quantifiers, and Relative Clauses (I)', Canadian Journal of Philosophy 7, 467-536.

    Google Scholar 

  • Fauconnier, G.: 1971, Theoretical Implications of Some Global Phenomena in Syntax, PhD dissertation, UC San Diego.

  • Gawron, J. M. and S. Peters: 1990, Anaphora and Quantification in Situation Semantics. CSLI Publications, Stanford.

    Google Scholar 

  • Geach, P.: 1962, Reference and Generality. Cornell University Press, Ithaca, N.Y.

    Google Scholar 

  • Geach, P.: 1972a, 'A Program for Syntax', in D. Davidson and G. Harman (eds.), Semantics of Natural Language, pp. 483-497. Reidel, Dordrecht.

    Google Scholar 

  • Geach, P.: 1972b, Logic Matters. Basil Blackwell, Oxford.

    Google Scholar 

  • Ginzburg, J.: 1992, Questions, Queries and Facts: A Semantics and Pragmatics for Interrogatives, PhD dissertation, Stanford.

  • Groenendijk, J. and M. Stokhof: 1983, 'Interrogative Quantifiers and Skolem Functions', in K. Ehlich and H. van Riemsdijk (eds.), Connectedness in Sentence, Discourse and Text, Tilburg Studies in Language and Literature 4. Tilburg Unviersity, Tilburg.

    Google Scholar 

  • Haegeman, L.: 1991, Introduction to Government and Binding Theory. Basil Blackwell, Cambridge, Mass.

    Google Scholar 

  • Haik, I.: 1987, 'Bound VP's that Need to Be', Linguistics and Philosophy 10, 503-510.

    Google Scholar 

  • Hankamer, J. and J. Sag: 1976, 'Deep and Surface Anaphora', Linguistic Inquiry 7, 391-428.

    Google Scholar 

  • Harper, M.: 1990, The Representation of Noun Phrases in Logical Form, PhD dissertation, Brown University. Department of Computer Science Technical Report CS-89-46, Brown University, Providence.

    Google Scholar 

  • Heim, I.: 1990, 'E-type Pronouns and Donkey Anaphora', Linguistics and Philosophy 13, 137-178.

    Google Scholar 

  • Heim, I.: 1997, 'Semantic Types for Syntactic Categories: Evidence from Ellipsis', in A. Lawson (ed.), Proceedings from the Seventh Conference on Semantics and Linguistic Theory, pp. 197-221. Cornell Working Papers in Linguistics, Cornell University, Ithaca, N.Y.

    Google Scholar 

  • Heim, I. and A. Kratzer: 1988, Semantics in Generative Grammar. Blackwell, Malden.

    Google Scholar 

  • Hendriks, H.: 1988, 'Type Change in Semantics: The Scope of Quantification and Coordination', in E. Klein and J. van Benthem (eds.), Categories, Polymorphism, and Unification. Centre for Cognitive Science, Edinburgh and Institute for Language, Logic and Information, University of Amsterdam.

  • Hepple, M.: 1990, The Grammar and Processing of Order and Dependency: A Categorial Approach, PhD dissertation, University of Edinburgh.

  • Higginbotham, J.: 1980, 'Pronouns and Bound Variables', Linguistic Inquiry 11, 679-708.

    Google Scholar 

  • Higginbotham, J.: 1992, 'Reference and Control', in R. Larson et al. (eds.), Control and Grammatical Theory, pp. 79-108. Kluwer, Dordrecht.

    Google Scholar 

  • Higginbotham, J. and R. May: 1981, 'Crossing, Maredness, Pragmatics', in Proceedings of the 1979 GLOW Conference. Scuola Normale Superiore de Pisa, Pisa.

    Google Scholar 

  • Hoeksema, J. and R. Janda: 1988, 'Implications of Process-Morphology for Categorial Grammar', in R. Oehrle (eds.), Categorial Grammar and Natural Language Structures, pp. 199-247, Reidel, Dordrecht.

    Google Scholar 

  • Jacobson, P.: 1972, 'Crossover and Some Related Problems', Masters thesis, University of California at Berkeley.

    Google Scholar 

  • Jacobson, P.: 1977, The Syntax of Crossing Coreference Sentences, PhD dissertation, University of California at Berkeley. (Distributed by Indiana University Linguistics Club, 1979; published by Garland Press, 1980.)

    Google Scholar 

  • Jacobson, P.: 1987, 'Phrase Structure, Grammatical Relations, and Discontinuous Constituents', in G. Huck and A. Ojeda (eds.), Syntax and Semantics 20: Discontinuous Constituency, pp. 27-69. Academic Press, Orlando.

    Google Scholar 

  • Jacobson, P.: 1991, 'Bach-Peters Sentences in a Variable-Free Semantics', in P. Dekker and M. Stokhof (eds.), Proceedings of the Eighth Amsterdam Colloquium, pp. 283-302. University of Amsterdam ILLC, Amsterdam.

    Google Scholar 

  • Jacobson, P.: 1992a, 'Flexible Categorial Grammars: Questions and Prospects', in R. Levine (ed.), Formal Grammar: Theory and Implementation, pp. 129-167. Oxford University Press, Oxford.

    Google Scholar 

  • Jacobson, P.: 1992b, 'Antecedent Contained Deletion in a Variable-Free Semantics', in C. Barker and D. Dowty (eds.), Proceedings of the Second Conference on Semantics and Linguistic Theory, pp. 193-213. Ohio State University, Columbus.

    Google Scholar 

  • Jacobson, P.: 1993, 'i-within-i Effects in a Variable-Free Semantics and a Categorial Syntax', in P. Dekker et al. (eds.), Proceedings of the 9th Amsterdam Colloquium, pp. 349-368. University of Amsterdam ILLC, Amsterdam.

    Google Scholar 

  • Jacobson, P.: 1994, 'On Copular Connectivity', in Proceedings of the Fourth Conference on Semantics and Linguistic Theory. Cornell Working Papers in Linguistics, Cornell University, Ithaca, N.Y.

    Google Scholar 

  • Jacobson, P.: 1999a, 'Towards a Variable-Free Semantics', Linguistics and Philosophy 22, 117-184.

    Google Scholar 

  • Jacobson, P.: 1999b, 'Binding without Pronouns', papers presented at the Formal Grammar 1999 conference, Utrecht.

  • Jaeger, G.: 1997, 'Anaphora and Ellipsis in Type-Logical Grammar', in P. Dekker et al. (eds.), Proceedings of the 11th Amsterdam Colloquium, pp. 175-180. Amsterdam University ILLC, Amsterdam.

    Google Scholar 

  • Jaeger, G.: 1999, 'Resource Sharing in Type Logical Grammar', presented at the Formal Grammar 1999 conference, Utrecht.

  • Karttunen, L.: 1969, 'Pronouns and Variables', in R. Binnick et al. (eds.), Papers from the Fifth Regional Meeting of the Chicago Linguistic Society, pp. 108-116. Chicago Linguistic Society, Chicago.

    Google Scholar 

  • Karttunen, L.: 1971, 'Definite Descriptions with Crossing Coreference', Foundations of Language 7, 157-182.

    Google Scholar 

  • Keenan, E.: 1972, 'On Semantically Based Grammar', Linguistic Inquiry 3, 413-461.

    Google Scholar 

  • Keenan, E.: 1974, 'The Functional Principle: Generalizing the Notion “Subject of”', in M. LaGaly et al. (eds.), Papers from the Tenth Regional Meeting, pp. 218-309. Chicago Linguistic Society, Chicago.

    Google Scholar 

  • Koopman, H. and D. Sportiche: 1982, 'Variables and the Bijection Principle', The Linguistic Review 2, 139-160.

    Google Scholar 

  • Kuroda, S.-Y.: 1971, 'Two Remarks on Pronominalization', Foundations of Language 7, 183-198.

    Google Scholar 

  • Lakoff, G.: 1972, 'On Generative Semantics', in D. Steinberg and L. Jacobovits (eds.), Semantics, pp. 232-296. Cambridge University Press, Cambridge.

    Google Scholar 

  • Lambek, J.: 1958, 'The Mathematics of Sentence Structure', American Mathematical Monthly 65, 154-269.

    Google Scholar 

  • Lees, R.: 1960, The Grammar of English Nominalizations. Mouton, The Hague.

    Google Scholar 

  • May, R.: 1977, The Grammar of Quantification, PhD dissertation, MIT.

  • May, R.: 1989, 'Interpreting Logical Form', Linguistics and Philosophy 12, 387-436.

    Google Scholar 

  • McCawley, J.: 1970, 'Where Do Noun Phrases Come From?', in R. Jacobs and P. Rosenbaum (eds.), Readings in English Transformational Grammar, Ginn & Co. Waltham.

  • Mitchell, J.: 1986, The Formal Semantics of Point of View, PhD dissertation, University of Massachusetts at Amherst. GLSA Publication, University of Massachusetts, Amherst, Mass.

    Google Scholar 

  • Montague, R.: 1974, 'The Proper Treatment of Quantification in Ordinary English', in R. Thomason (ed.), Formal Philosophy: Selected Papers of Richard Montague, pp. 247-270. Yale University Press, New Haven.

    Google Scholar 

  • Moortgat, Michael: 1988, Categorial Investigations: Logical and Linguistic Aspects of the Lambek Calculus. Foris, Dordrecht.

    Google Scholar 

  • Morrill, Glyn: 1995, 'Discontinuity in Categorial Grammar', Linguistics and Philosophy 18, 175-219.

    Google Scholar 

  • Partee, B.: 1972, 'Opacity, Coreference and Pronouns', in G. Harman and D. Davidson (eds.), Semantics of Natural Language, pp. 415-441. Reidel, Dordrecht.

    Google Scholar 

  • Partee, B.: 1973, 'Some Transformational Extensions of Montague Grammar', Journal of Philosophical Logic 2, 509-534.

    Google Scholar 

  • Partee, B.: 1975, 'Deletion and Variable Binding', in E. Keenan (ed.), Formal Semantics of Natural Language, pp. 16-34. Cambridge University Press, Cambridge.

    Google Scholar 

  • Partee, B.: 1985, 'Ambiguous Pseudoclefts with Unambiguous Be', in S. Berman, J. McDonough et al. (eds.), Proceedings of NELS 16, GLSA Publication, University of Massachusetts, Amherst.

    Google Scholar 

  • Partee, B.: 1991, 'Anaphoric and Deictic Pieces of Meaning', paper presented at the 8th Amsterdam Colloquium, ITLI, Amsterdam.

    Google Scholar 

  • Partee, B.: 1997, 'Appendix B. Genitives-A case study', appendix to T. Janssen, “Compositionality”, in J. van Benthem and A. ter Meulen (eds.), The Handbook of Logic and Language, pp. 464-470. MIT Press/Elsevier, Cambridge, Mass.

    Google Scholar 

  • Partee, B. and M. Rooth: 1983, 'Generalized Conjunction and Type Ambiguity', in R. Bäuerle et al. (eds.), Meaning, Use, and the Interpretation of Language, pp. 362-383. de Gruyter, Berlin.

    Google Scholar 

  • Pollard, C.: 1984, Generalized Phrase Structure Grammars, Head Grammars, and Natural Language, PhD dissertation, Stanford University.

  • Pollard, C. and I. Sag: 1992, 'Anaphors in English and the Scope of Binding Theory', Linguistic Inquiry 23, 261-303.

    Google Scholar 

  • Postal, P.: 1971, Cross-Over Phenomena. Holt, Rinehart and Winston, New York.

    Google Scholar 

  • Quine, W. V.: 1966, 'Variables Explained Away', in W. V. Quine, Selected Logic Papers. Random House, New York.

    Google Scholar 

  • Reinhart, T.: 1983, Anaphora and Semantic Interpretation. Croom Helm, London.

    Google Scholar 

  • Reinhart, T.: 1990, 'Self Representation', paper presented at the Princeton Conference on Anaphora, Princeton.

  • Reinhart, T. and E. Reuland: 1991, 'Anaphors and Logophors: An Argument Structure Perspective', in J. Koster and E. Reuland (eds.), Long-Distance Anaphora, pp. 283-321. Cambridge University Press, Cambridge.

    Google Scholar 

  • Rohrbacher, B.: 1991, 'Crossing Coreference Sentences: No Evidence for Pronominalization', in G. Westphal et al. (eds.), Proceedings of the Eastern States Conference on Linguistics, pp. 301-312. Ohio State University, Columbus.

    Google Scholar 

  • Sharvit, Yael: 1997, The Syntax and Semantics of Functional Relative Clauses, PhD dissertation, Rutgers University.

  • Shieber, S.: 1985, 'Evidence Against the Context-Freeness of Natural Language', Linguistics and Philosophy 8, 333-344.

    Google Scholar 

  • von Stechow, A.: 1990, 'Layered Traces', paper presented at the Conference on Logic and Language, Revfulup, Hungary.

  • Steedman, M.: 1987a, 'Combinatory Grammars and Parasitic Gaps', Natural Language and Linguistic Theory 5, 403-440.

    Google Scholar 

  • Steedman, M.: 1987b, 'Combinatory Grammars and Human Sentence Processing', in J. Garfield (ed.), Modularity in Knowledge Representation and Natural-Language Understanding, MIT Press, Cambridge, Mass.

    Google Scholar 

  • Steedman, M.: 1990, 'Gapping as Constituent Coordination', Linguistics and Philosophy 13, 207-263.

    Google Scholar 

  • Szabolcsi, A.: 1987, 'Bound Variables in Syntax: Are There Any?', in J. Groenendijk et al. (eds.), Proceedings of the 6th Amsterdam Colloquium, ITLI, University of Amsterdam, Amsterdam.

    Google Scholar 

  • Szabolcsi, A.: 1992, 'Combinatory Categorial Grammar and Projection from the Lexicon', in I. Sag and A. Szabolcsi (eds.), Lexical Matters. CSLI Publications, Stanford.

    Google Scholar 

  • Wasow, T.: 1972, 'Anaphoric Relations in English', PhD dissertation, MIT.

  • Wasow, T.: 1973, 'More Migs and Pilots', Foundations of Language 9, 297-305.

    Google Scholar 

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Jacobson, P. Paycheck Pronouns, Bach-Peters Sentences, and Variable-Free Semantics. Natural Language Semantics 8, 77–155 (2000). https://doi.org/10.1023/A:1026517717879

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