Phantom readings: the case of modified numerals

References

• Agresti, A. (2002). Categorical data analysis (vol. 359). John Wiley & Sons.
   Google Scholar
• Barr, D. J., Levy, R., Scheepers, C., & Tily, H. J. (2013). Random effects structure for confirmatory hypothesis testing: Keep it maximal. Journal of Memory and Language, 68, 255–278. doi:10.1016/j.jml.2012.11.001
   Web of Science ®Google Scholar
• Breheny, R. (2008). A new look at the semantics and pragmatics of numerically quantified noun phrases. Journal of Semantics, 25(2), 93. doi:10.1093/jos/ffm016
   Web of Science ®Google Scholar
• Busemeyer, J. R., & Rapoport, A. (1988). Psychological models of deferred decision making. Journal of Mathematical Psychology, 32(2), 91–134. doi:10.1016/0022-2496(88)90042-9
   Web of Science ®Google Scholar
• Chemla, E., & Spector, B. (2011). Experimental evidence for embedded scalar implicatures. Journal of Semantics, 28, 359–400. doi:10.1093/jos/ffq023
   Web of Science ®Google Scholar
• Cummins, C., & Katsos, N. (2010). Comparative and superlative quantifiers: Pragmatic effects of comparison type. Journal of Semantics, 27, 271. doi:10.1093/jos/ffq006
   Web of Science ®Google Scholar
• Geurts, B. (2006). Take ‘five’: The meaning and use of a number word. In S. Vogeleer & L. Tasmowski (Eds.), Non-definiteness and plurality (pp. 311–329). Amsterdam and Philadelphia, PA: John Benjamins.
   Google Scholar
• Geurts, B., Katsos, N., Cummins, C., Moons, J., & Noordman, L. (2010). Scalar quantifiers: Logic, acquisition, and processing. Language and Cognitive Processes, 25(1), 130–148. doi:10.1080/01690960902955010
   Web of Science ®Google Scholar
• Geurts, B., & van der Slik, F. (2005). Monotonicity and processing load. Journal of semantics, 22(1), 97. doi:10.1093/jos/ffh018
   Google Scholar
• Heim, I. (2000). Degree operators and scope. In B. Jackson & T. Matthews (Eds.), Proceedings of salt (vol. 10, pp. 40–64). Ithaca, NY: Cornell University. Retrieved from http://elanguage.net/journals/index.php/salt/article/viewFile/10.40/1700
   Google Scholar
• Katzir, R. (2007). Structurally-defined alternatives. Linguistics and Philosophy, 30, 669–690. doi:10.1007/s10988-008-9029-y
   Web of Science ®Google Scholar
• Kennedy, C. (2012). A scalar semantics for scalar readings of number words (MS). University of Chicago. Retrieved from http://semanticsarchive.net/Archive/zIyMjg1Y/numberwords-ck.pdf
   Google Scholar
• Lewis, S., & Phillips, C. (2013). Aligning grammatical theories and language processing models. Journal of Psycholinguistic Research ( in press)
   Google Scholar
• MacLeod, C. M. (1991). Half a century of research on the Stroop effect: An integrative review. Psychological bulletin, 109(2), 163. doi:10.1037/0033-2909.109.2.163
   PubMed Web of Science ®Google Scholar
• Marty, P., Chemla, E., & Spector, B. (2013). Interpreting numerals and scalar items under memory load. Lingua, 133, 152–163. doi:10.1016/j.lingua.2013.03.006
   Web of Science ®Google Scholar
• McCullagh, P., & Nelder, J. A. (1989). Generalized linear models (monographs on statistics and applied probability 37). London: Chapman Hall.
   Google Scholar
• Partee, B. (1987). Noun phrase interpretation and type-shifting principles. In J. Groenendijk, D. de Jong, & M. Stokhof (Eds.), Studies in discourse representation theory and the theory of generalized quantifiers (pp. 115–143). Dordrecht: Foris.
   Google Scholar
• Pike, R. (1966). Stochastic models of choice behaviour: Response probabilities and latencies of finite markov chain systems. British Journal of Mathematical and Statistical Psychology, 19(1), 15–32. doi:10.1111/j.2044-8317.1966.tb00351.x
   PubMedGoogle Scholar
• Pike, R. (1968). Latency and relative frequency of response in psychophysical discrimination. British Journal of Mathematical and Statistical Psychology, 21, 161–182. doi:10.1111/j.2044-8317.1968.tb00407.x
   PubMed Web of Science ®Google Scholar
• Pike, R. (1973). Response latency models for signal detection. Psychological Review, 80(1), 53. doi:10.1037/h0033871
   PubMed Web of Science ®Google Scholar
• Ratcliff, R. (1979). Group reaction time distributions and an analysis of distribution statistics. Psychological bulletin, 86, 446–461. doi:10.1037/0033-2909.86.3.446
   PubMed Web of Science ®Google Scholar
• Ratcliff, R. (2002). A diffusion model account of response time and accuracy in a brightness discrimination task: Fitting real data and failing to fit fake but plausible data. Psychonomic Bulletin & Review, 9, 278–291. doi:10.3758/BF03196283
   PubMed Web of Science ®Google Scholar
• Ratcliff, R., Gomez, P., & McKoon, G. (2004). A diffusion model account of the lexical decision task. Psychological review, 111, 159. doi:10.1037/0033-295X.111.1.159
   PubMed Web of Science ®Google Scholar
• Roberts, K. L., & Hall, D. A. (2008). Examining a supramodal network for conflict processing: A systematic review and novel functional magnetic resonance imaging data for related visual and auditory stroop tasks. Journal of cognitive neuroscience, 20, 1063–1078. doi:10.1006/nimg.2000.0665
   PubMed Web of Science ®Google Scholar
• Spector, B. (2013). Bare numerals and scalar implicatures. Language and Linguistics Compass, 7, 273–294. doi:10.1111/lnc3.12018
   Google Scholar
• Spector, B. (2014). Plural indefinites and maximality. Talk at the UCLA linguistics colloquium. Retrieved from http://semanticsarchive.net/Archive/WIyM2Y4M/
   Google Scholar
• Stroop, J. R. (1935). Studies of interference in serial verbal reactions. Journal of Experimental Psychology, 18, 643–662. doi:10.1037/h0054651
   Google Scholar
• Tuerlinckx, F. (2004). The efficient computation of the cumulative distribution and probability density functions in the diffusion model. Behavior Research Methods, Instruments, & Computers, 36, 702–716. doi:10.3758/BF03206552
   PubMedGoogle Scholar
• van Benthem, J. F. A. K. (1986). Essays in logical semantics (vol. 29). Dordrecht: Riedel.
   Google Scholar
• Vickers, D. (1979). Decision processes in visual perception. New York, NY: Academic Press.
   Google Scholar