Math without Words by James Tanton

By James Tanton

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Moreover, my work since that choice has enabled me to take stock of present-day psychoanalytic theories (Imbasciati 1978a, b, 1983a, c, 1989a); to consider the uncertainties inherent in them (1991); to review some of the main critiques (1994); to define clinical psychology (1993b, 1994), showing how it has impressed its stamp on the methodological principles of psychoanalysis; and finally to develop a psychoanalytic theory consistent with the experimental psychological sciences. g. Klein, G. 1976) have drawn attention, between so-called clinical theory, whose validity is undisputed and which has advanced smoothly and continuously since Freud, and ‘formal theory’, which remains tied to Freud’s explanatory hypotheses even though these have been rejected as such, as no longer compatible with the development of other sciences.

Money-Kyrle’s ‘concept building’ [1968]). Since our ability to know the world depends on the possibility of representing it to ourselves more or less appropriately, the problem arises of the ‘representational value of the internal objects’ and of the relationship between internal objects and representations proper – that is, the representations that can also gradually assume the clear and precise character which permits conscious thought. A continuum may reasonably be supposed to exist between the representational function of internal objects and representations proper – both in the diachrony of infantile development and in adult unconscious thought processes.

These may account for the entire range of perceptual phenomena involving a discrepancy between the percept and the external object, or, rather, between the percept and the set of stimuli presented by that object to the receiving apparatus. Such phenomena range from the perceptual events studied by Gestalt psychology, via optical-geometrical illusions and the processes involved in projective tests, to the projection phenomena studied by psychoanalysis, and may be grouped together under the heading of apperceptive distortion (Imbasciati 1967, 1978a).

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