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418                     Notes to Pages 95–101

              21.  “… a fundamental feature of the anatomy of cortical pathways is a feedback of
                information from higher order cortical areas to areas that are closer to the input
                from the periphery” (Gilbert, 1998, p. 479). See Felleman and Van Essen (1991)
                and Gilbert and Sigman (2007) for reviews of the relevant evidence. Researchers
                are pinpointing the exact brain areas and mechanisms involved in such top-down
                influences (see, e.g., Grent-’t-Jong & Woldorff, 2007; Ullman, 1995).
              22.  See Behrens (1987) for an overview of Albert Ames Jr.’s work on visual illusions,
                and Levine (2000, pp. 262–264) for an explanation. For a recent study of the
                Ames Room illusion, see Dorward and Day (1996).
              23.  For the description and origin of these figures, see Note 55 to Chapter 3.
              24.  Early  evidence  for  parallel  activation  of  multiple  meanings  was  presented  by
                Swinney (1979). The study of lexical ambiguity has since swelled to a research
                area of its own. There is now neuroscience evidence for the activation of multiple
                meanings in parallel; see, e.g., Mason and Just (2007).
              25.  The concept of a situation model was introduced into the psychology of reading
                by van Dijk and Kintsch (1983, Chap. 10). It has since become a standard con-
                ceptual tool for the study of language comprehension (Graesser, Millis & Zwaan,
                1997; Zwaan & Radvansky, 1998), with some unexpected applications (Radvansky
                & Dijkstra, 2007).
              26.  The average educated adult knows approximately 50,000 words (Miller, 1996),
                and  hence  approximately  as  many  concepts.  Each  concept  is  likely  to  enter
                into more than one knowledge element. The space of possible knowledge ele-
                ments built out of two concepts (e.g., dogs are mammals) is thus approximately
                2,500,000,000. We do not know how many of those combinations make sense
                or are typically acquired by a person in the course of a lifetime, but even if the
                proportion is one tenth of a percent, the number of two-concept knowledge ele-
                ments is of the order of a million. Similar calculations would yield even higher
                numbers for knowledge elements built out of three or more concepts.
              27.  Anderson (1984), Anderson and Pirolli (1984) and Collins and Loftus (1975).
              28.  The study of word associations has a long history in psychology (Deese, 1965),
                and, unlike many other techniques, it is used in both clinical psychology and in
                basic cognitive research on memory and language. The two basic measures are
                the probability and the speed with which one word elicits another; see Miller
                (1996, Chap. 8).
              29.  This view of long-term memory is due to Anderson (1989, 1990). It is an advance
                on the more commonly held view that the task of memory is to retain informa-
                tion accurately.
              30.  Gibson (1977).
              31.  Newell and Simon (1972a).
              32.  There is a long line of developmental research on how children make transitive
                inferences (Donaldson, 1963, Chap. 3; Glick & Wapner, 1968). Transitive inferences
                are closely related to Piaget’s (1952) notion of seriation (Murray & Youniss, 1968).
                Piaget’s main work on seriation appears not to have been translated into English
                [Piaget, J., & Inhelder, B. (1959). La Genèse des structures logiques élémentaires: clas-
                sifications et sériations. Neuchâtel: Delachaux et Niestlé], but see Inhelder and
                Piaget (1964) for a briefer treatment. Studies with adults, where problems of this
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