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PLURALITY, CONJUNCTION AND EVENTS Studies in Linguistics and Philosophy Volume 55 Managing Editors GENNARO CHIERCHlA, University of Milan PAULINE JACOBSON, Brown University FRANCIS J. PELLETIER, University ofA lberta Editorial Board JOHAN V AN BENTHEM, University ofA msterdam GREGORY N. CARLSON, University ofRochester DAVID DOWTY, Ohio State University, Columbus GERALD GAZDAR, University of Sussex, Brighton IRENE HEIM, MIT., Cambridge EWAN KLEIN, University of Edinburgh BILL LAD USA W, University of Califomia at Santa Cruz TERRENCE PARSONS, University ofCalifomia, lrvine The titles published in this series are listed at the end of this volume. PLURALITY, CONJUNCTION ANDEVENTS by PETER LASERSOHN Department 01 Linguistics, University 01 Rochester, US.A. SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. Library of Congress Cataloging-in-Publication Data Lasersahn, Peter. Plurality, conjunction, and events I by Peter Lasersahn. p. cm. -- (Studles in 11nguistics and phi losophy ; v. 55) Includes bibliographical references (p. ). ISBN 978-90-481-4494-5 ISBN 978-94-015-8581-1 (eBook) DOI 10.1007/978-94-015-8581-1 1. Grammar, Comparative and general--Number. 2. Grammar, Comparative and general--Conjunctions. 3. Semantics. I. T1tle. Ir. Series. P240.8.L37 1995 415--dc20 94-38629 ISBN 978-90-481-4494-5 Printed on acid-free paper All Rights Reserved © 1995 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 1995 Softcover reprint of the hardcover 18t edition 1995 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, inc1uding photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner. CONTENTS Preface ix Part One. Collective and Distributive Readings: History and Range of Possible Analyses ........................... 1 Introduction to Part One: An Apparent Difference Between Two Types of Conjunction ................ 2 Chapter 1: Logical Form ...................... 4 1.1. Two Notions of Logical Form .......... 4 1.2. Two Notions of Compositionality ........ 5 1.3. Compositionality and LOgical Form . . . . . .. 7 1.4. Syntactic Motivation for LF . . . . . . . . . . .. 10 Notes ............................. 11 Chapter 2: The NP/S Analysis. . . . . . . . . . . . . . . . . .. 12 2.1. Historical Notes on the NP/S Analysis 12 2.2. Conjunction Reduction ............... 17 2.3. The NP/S Analysis: Formal Presentation 20 Notes ........................ 24 Chapter 3: The Relational/S Analysis ......... 26 Notes ............................. 32 Chapter 4: The S/S Analysis . . . . . . . . . . . . . . . . . . .. 33 4.1. Historical Notes on the S/S Analysis . . . . .. 33 4.2. "Official Version" and Critique of the S/S Analysis . . . . . . . . . . . . . . . . . . . . . .. 50 Notes 51 Chapter 5: Two Types of NP/NP Analysis . . . . . . . . . .. 55 5.1. Primitive Phrasal and Generalized Con junction . . . . . . . . . . . . . . . . . . . . . .. 55 5.2. Conjoined Noun Phrases and Plural Noun Phrases ....................... 64 Notes 68 v vi TABLE OF CONTENTS Chapter 6: Interlude On Collective Action and Colors 69 Notes ............................. 80 Chapter 7: Locating the Ambiguity . . . . . . . . . . . . . . .. 81 7.1. The Group-Level Analysis of Distributivity .. 83 7.2. Testing for Ambiguity ............... 89 7.3. First Problem for Noun Phrase Ambiguity Accounts: Failure of the Zeugma Test . .. 96 7.4. Second Problem for Noun Phrase Ambiguity Accounts: Partial Distributivity and Par- ticipatory Distributivity ............. 104 7.5. Third Problem for Noun Phrase Ambiguity Accounts: Verb Agreement .......... 109 7.6. Problems with Mode-of-Composition Ana- lyses . . . . . . . . . . . . . . . . . . . . . . . . . 114 7.7. Problems with Scope Ambiguity Analyses ... 116 7.8. Conclusion ....................... 124 Notes ............................. 124 Chapter 8: How Many Readings? ................ . 128 8.1. Just One ....................... . 128 8.2. Arbitrarily Many .................. . 132 8.3. Two .......................... . 141 Notes 144 Chapter 9: On The Structure of Groups ........... . 145 9.1. Sets and Groups , Union and Pairing ..... . 146 9.2. Conjunctions of Singulars ............ . 147 9.3. The Sets Theory and the Union Theory Point to Different Ontologies . . . . . . . . . . . . . 148 9.4. The Argument from 'Both' ........... . 150 9.5. The Argument from Reciprocals ........ . 151 9.6. The Argument from Distributives ....... . 153 9.7. The Argument from 'Same' and 'Different' .. 155 9.8. First Response to the Arguments: Pure and Impure Atoms ................. . 156 9.9. Second Response to the Arguments: Covers . 159 9.10. Conclusion ...................... . 167 Notes 167 TABLE OF CONTENTS vii Chapter 10: The Event-Free Fragment ............. 169 10.1. Basic Claims . . . . . . . . . . . . . . . . . . . . . 169 10.2. Syntax . . . . . . . . . . . . . . . . . . . . . . . . . 170 10.3. Semanties ....................... 172 Notes ............................. 177 Part Two. Events in the Semantics of Plurality and Conjunetion . 179 Introduction to Part Two: Extending the Coverage ...... 180 Chapter 11: Earlier Work on Colleetivizing Adverbials ... 182 11.1. A Problem in Distinguishing Colleetive and Distributive Predicates ............. 182 11.2. An Analysis Based on the Seope of an Event Quantifier ................. 185 11. 3. An Analysis Based on Event Mereology ... 189 11.4. Spatial and Temporal Readings ......... 200 11.5. An Analysis Based on Predieate Negation .. 205 Notes ............................. 214 Chapter 12: Return to an Event-Based Analysis ....... 218 12.1. Getting Clear about the Problem ....... 218 12.2. Analyzing 'Together' in Terms of Overlap .. 222 12.3. Persistenee and Quantifieation ......... 226 12.4. Adverbial and Adjeetival 'Together' ...... 231 Notes ............................. 237 Chapter 13: Pluraetional Markers ................. 238 13.1. Introduction ..................... 238 13.2. More than Just Groups of Events ....... 241 13.3. Parameters of Pluraetionality .......... 242 13.4. Skeleton of an Analysis .............. 251 13.5. Pluraetionality in Klamath ............ 257 Notes ............................. 264 Chapter 14: Unifying the Semantics of Conjunetion ..... 267 14.1. Groups of Events .................. 267 14.2. A Problem with Temporal Alternation .... 268 14.3. Alternation and Groups of Events ....... 272 viii T ABLE OF CONTENTS 14.4. Conjunction and Groups of Events ...... 277 14.5. Color and Material Conjunction ........ 281 Notes ............................. 286 Conclusion 287 References 290 PREFACE Plurality is a simple notion - it just means "more than one." Conjunction, too, is very simple; most people would be amazed (not to mention amused) if they knew the level of attention that linguists, philosophers and logicians have devoted to such a small word as and. What is there to say about it, after all? Simple words make rich topics. The fascination of plurality and conjunction lies in the fact that a theory of their meaning has conse quences far beyond what is obvious from the start. The purpose of this book is to explore some of these consequences. The book is divided into two parts. The first part is devoted to a particular topic in the semantics of plurality and conjunction, namely, the distinction between collective and distributive readings for sentences containing plural or conjoined noun phrases. This distinction is ex hibited in pairs of sentences such as lohn and Mary are a happy couple and lohn and Mary are asleep, for example; the second sen tence requires lohn to be asleep and Mary to be asleep, but the first does not require lohn to be a happy couple and Mary to be a happy couple. What makes the difference? We will examine a wide variety of different possible explanations, but will argue for a particular analysis, which has the following conse quences: In both sentences, the subject noun phrase unambiguously denotes the group of lohn and Mary collectively, and the verb phrase represents a property which applies to this group as a whole. The semantic difference between these sentences comes from the fact that a group of individuals can be asleep only if the individual members of the group are asleep, while a group of individuals can be a happy couple even if the members of the group are not happy couples. This is an intuitive idea, and a popular one, though it appears surprisingly late in the history of theorizing about this distinction. I ix x PREFACE think it bears up better than its competitors under careful scrutiny, and try to argue this point in detail through Part One. However, the conclusions of Part One face a serious difficulty one which I think is still not weIl recognized by most advocates of similar analyses. The analysis makes collective and distributive predi cates extensionally indistinguishable in principle. This means that extensional adverbs and other predicate modifiers should be insensitive to the collective/distributive distinction - a prediction which is not borne out, notably in the case of "collectivizing" adverbs such as togeth er. Part Two begins by presenting this problem, develops a solution for it, and goes on to apply the theoretical apparatus developed for this solution to the semantics of verbal "pluractional" affixes, and to the semantics of sentence conjunction and predicate conjunction. The particular solution which is developed depends crucially on the idea that verbs and other predicates contain an argument place for a hidden variable over events, roughly as in Davidson (1967). This allows us to give a semantics for collectivizing adverbs, even while maintaining the insights of Part One, by distinguishing collective and distributive action in the part/whole structure of events. It also allows us to account for the wide range of readings typically exhibited by collectivizing adverbials, and by pluractional affixes - a dass of mor phemes, common in the world's languages, which serve to indicate plurality of action. Our analysis of pluractional markers will set the stage for a new theory of conjunction, presented in the last chapter, which treats all conjunction, even of predicates and sentences, as "group-forming." This allows a unified semantics for conjunction no matter what categories are being conjoined, and makes dear, in a way that previous theories usually have not, what the connection is between conjunction of referen tial noun phrases and conjunction of all other categories. Readers who are already expert in the semantics of plurality may find- some of the main theoretical points of Part One to be familiar. I think that even such readers are likely to encounter some unfamiliar material, however. Especially, the historical discussion in Chapters 2 and 4 will probably be novel to all but a few readers; I hope people find it as entertaining to read as I did to research.

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Plurality, Conjunction and Events presents a novel theory of plural and conjoined phrases, in an event-based semantic framework. It begins by reviewing options for treating the alternation between `collective' and `distributive' readings of sentences containing plural or conjoined noun phrases, incl
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