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Interface transparency and the psychosemantics of most

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Abstract

This paper proposes an Interface Transparency Thesis concerning how linguistic meanings are related to the cognitive systems that are used to evaluate sentences for truth/falsity: a declarative sentence S is semantically associated with a canonical procedure for determining whether S is true; while this procedure need not be used as a verification strategy, competent speakers are biased towards strategies that directly reflect canonical specifications of truth conditions. Evidence in favor of this hypothesis comes from a psycholinguistic experiment examining adult judgments concerning ‘Most of the dots are blue’. This sentence is true if and only if the number of blue dots exceeds the number of nonblue dots. But this leaves unsettled, e.g., how the second cardinality is specified for purposes of understanding and/or verification: via the nonblue things, given a restriction to the dots, as in ‘|{x: Dot(x) & ~Blue(x)}|’; via the blue things, given the same restriction, and subtraction from the number of dots, as in ‘|{x: Dot(x)}| – |{x: Dot(x) & Blue(x)}|’; or in some other way. Psycholinguistic evidence and psychophysical modeling support the second hypothesis.

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References

  • Barwise J., Cooper R. (1981) Generalized quantifiers in natural language. Linguistics and Philosophy 4: 159–219

    Article  Google Scholar 

  • Boolos G. (1998) Logic, logic and logic. Harvard University Press, Cambridge, MA

    Google Scholar 

  • Brannon E.M., Lutz D., Cordes S. (2006) The development of area discrimination and its implications for number representation in infancy. Developmental Science 9(6): F59–F64

    Article  Google Scholar 

  • Chomsky N. (1986) Knowledge of language: Its nature, origins and use. Praeger, New York

    Google Scholar 

  • Church A. (1941) The calculi of lambda conversion. Princeton University Press, Princeton

    Google Scholar 

  • Cordes S., Gallistel C., Gelman R., Lathan P. (2007) Nonverbal arithmetic in humans: light from noise. Perception & Psychophysics 69: 1185–1203

    Article  Google Scholar 

  • Cresswell M. (1985) Structured meanings. MIT Press, Cambridge, Mass.

    Google Scholar 

  • Davidson, D. 1967. The logical form of action sentences. In Essays on actions and events, 105–148. Oxford: Clarendon Press.

  • Davies M. (1987) Tacit knowledge and semantic theory: Can a five per cent difference matter?. Mind 96: 441–462

    Article  Google Scholar 

  • Dehaene S. (1997) The number sense: How the mind creates mathematics. Oxford University Press, New York

    Google Scholar 

  • Dummett M. (1973) Frege: Philosophy of Language. Harvard University Press, Cambridge, Mass.

    Google Scholar 

  • Evans, G. 1981. Semantic theory and tacit knowledge. In Wittgenstein: To Follow a Rule, ed. S. Holtzman and C. Leich, 118–137. London: Routledge and Kegan Paul.

  • Feigenson L., Dehaene S., Spelke E.S. (2004) Core systems of number. Trends in Cognitive Science 8: 307–314

    Article  Google Scholar 

  • Fodor J. (2003) Hume variations. Oxford University Press, Oxford

    Google Scholar 

  • Frege, G. 1884. Die Grundlagen der Arithmetik. Breslau: Wilhelm Koebner. J.L. Austin, English trans., The foundations of arithmetic (Oxford: Basil Blackwell, 1974).

  • Frege, G. 1892. Über Funktion und Begriff [English translation as ‘Function and concept’]. P. Geach and M. Black, trans., Translations from the philosophical writings of Gottlob Frege, 30–32 (Oxford: Blackwell, 1980).

  • Gallistel C., Gelman R. (2000) Non-verbal numerical cognition: From reals to integers. Trends in Cognitive Sciences 4(2): 59–65

    Article  Google Scholar 

  • Hackl M. (2009) On the grammar and processing of proportional quantifiers: most versus more than half. Natural Language Semantics 17: 63–98

    Article  Google Scholar 

  • Halberda, J. in prep. What is a Weber fraction? Ms., Johns Hopkins University.

  • Halberda J., Feigenson L. (2008) Developmental change in the acuity of the “Number Sense”: The approximate number system in 3-, 4-, 5-, 6-year-olds and adults. Developmental Psychology 44(5): 1457–1465

    Article  Google Scholar 

  • Halberda J., Mazzocco M.M.M., Feigenson L. (2008) Differences in primitive math intuitions predict math achievement. Nature 455: 665–668

    Article  Google Scholar 

  • Halberda J., Sires S.F., Feigenson L. (2006) Multiple spatially overlapping sets can be enumerated in parallel. Psychological Science 17: 572–576

    Article  Google Scholar 

  • Halle M. (2002) From memory to speech and back. Mouton de Gruyter, The Hague

    Google Scholar 

  • Higginbotham J., May R. (1981) Questions, quantifiers, and crossing. The Linguistic Review 1: 41–80

    Article  Google Scholar 

  • Horty J. (2007) Frege on definitions. Oxford University Press, Oxford

    Google Scholar 

  • Izard V., Dehaene S. (2008) Calibrating the mental number line. Cognition 106: 1221–1247

    Article  Google Scholar 

  • Jacobson, R., G. Fant, and M. Halle 1952. Preliminaries to speech analysis: the distinctive features and their correlates. Technical Report 13. Acoustics Laboratory, MIT.

  • Jackendoff R. (1983) Semantics and cognition. MIT Press, Cambridge, Mass.

    Google Scholar 

  • Jackendoff R. (1990) Semantic structures. MIT Press, Cambridge, Mass.

    Google Scholar 

  • Jackendoff R. (2002) Foundations of language. Oxford University Press, Oxford

    Book  Google Scholar 

  • Jusczyk P. (1997) The discovery of spoken language. MIT Press, Cambridge, Mass.

    Google Scholar 

  • Kahneman D., Tversky A. (1973) On the psychology of prediction. Psychological Review 80: 237–251

    Article  Google Scholar 

  • Katz J.J., Fodor J.A. (1963) The structure of a semantic theory. Language 39: 170–210

    Article  Google Scholar 

  • Kuhl P. (1993) Early linguistic experience and phonetic perception: Implications for theories of developmental speech perception. Journal of Phonetics 21: 125–139

    Google Scholar 

  • Landau B., Jackendoff R. (1993) “What” and “where” in spatial language and spatial cognition. Behavioral and Brain Sciences 16(2): 217–238

    Article  Google Scholar 

  • Liberman A.M., Cooper F.S., Shankweiler D.P., Studdert-Kennedy M. (1967) Perception of the speech code. Psychological Review 74: 431–461

    Article  Google Scholar 

  • Liberman A.M., Mattingly I.G. (1985) The motor theory of speech perception revised. Cognition 21: 1–36

    Article  Google Scholar 

  • Marr D. (1982) Vision. MIT Press, Cambridge, Mass.

    Google Scholar 

  • Montague R. (1970) Universal grammar. Theoria 36: 373–398

    Article  Google Scholar 

  • Mostkowski A. (1957) On a generalization of quantifiers. Fundamenta Mathematicae 44: 12–36

    Google Scholar 

  • Peacocke C. (1986) Explanation in computational psychology: Language, perception and level 1.5. Mind and Language 1: 101–123

    Article  Google Scholar 

  • Pica P., Lemer C., Izard V., Dehaene S. (2004) Exact and approximate arithmetic in an Amazonian indigene group. Science 306: 499–503

    Article  Google Scholar 

  • Pietroski P. (2010) Concepts, meaning and truth: First nature, second nature and hard work. Mind & Language 25(3): 247–278

    Article  Google Scholar 

  • Pietroski P., Lidz J., Hunter T., Halberda J. (2009) The meaning of most: Semantics, numerosity and psychology. Mind & Language 24(5): 554–585

    Article  Google Scholar 

  • Poeppel D., Idsardi W., van Wassenhove V. (2008) Speech perception at the interface of neurobiology and linguistics. Philosophical Transactions of the Royal Society of London B 363: 1071–1086

    Article  Google Scholar 

  • Rescher, N. 1962. Plurality quantification. Journal of Symolic Logic, 27: 373–347.

    Google Scholar 

  • Ross J., Burr D. (2010) Vision senses number directly. Journal of Vision 10(2): 1–8

    Article  Google Scholar 

  • Stevens, K. 1972. The quantal nature of speech: Evidence from articulatory-acoustic data. In Human communication: A unified view, ed. E.E. David Jr. and P.B. Denes, 51–56. New York: McGraw-Hill.

  • Tarski A. (1944) The semantical concept of truth and the foundations of semantics. Philosophy and Phenomenological Research 4: 341–375

    Article  Google Scholar 

  • Treisman A., Gormican S. (1988) Feature analysis in early vision: Evidence from search asymmetries. Psychological Review 95(1): 15–48

    Article  Google Scholar 

  • Treisman A., Souther J. (1985) Search asymmetry: A diagnostic for preattentive processing of separable features. Journal of Experimental Psychology: Human Perception & Performance 16(3): 459–478

    Article  Google Scholar 

  • Werker, J.F. 1995. Exploring developmental changes in cross-language speech perception. In An invitation to cognitive science, Part I: Language, ed. D. Osherson (series), L. Gleitman and M. Liberman (vol. eds), 87–106. Cambridge, Mass.: MIT Press.

  • Whalen J., Gallistel C.R., Gelman R. (1999) Non-verbal counting in humans: The psychophysics of number representation. Psychological Science 10: 130–137

    Article  Google Scholar 

  • Wolfe, J.M. 1998. Visual search. In Attention, ed. H. Pashler, 13–73. London: University College London Press.

  • Zosh, J.M., L. Feigenson, and J.P. Halberda (submitted). Working memory capacity for multiple collections in infancy.

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Correspondence to Jeffrey Lidz.

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Guidelines for testing human research subjects were followed as certified by the Johns Hopkins University and the University of Maryland Institutional Review Boards. Subjects’ rights were protected throughout.

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Lidz, J., Pietroski, P., Halberda, J. et al. Interface transparency and the psychosemantics of most . Nat Lang Semantics 19, 227–256 (2011). https://doi.org/10.1007/s11050-010-9062-6

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