The Mismeasure of Man by Stephen Jay Gould

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THE REAL ERROR OF CYRIL BURT 345

unintentionally amusing aside, Thurstone once mused over the
technical differences between Burt and himself, and decided that
Burt's propensity for algebraic rather than geometrical represen-
tation of factors arose from his deficiency in the spatial PMA:


The configurational interpretations are evidently distasteful to Burt,
for he does not have a single diagram in his text. Perhaps this is indicative
of individual differences in imagery types which lead to differences in
methods and interpretation among scientists (1947, p. ix).


  1. Burt and Spearman based their psychological interpretation
    of factors on a belief that g was dominant and real—an innate, gen-
    eral intelligence, marking a person's essential nature. Thurstone's
    analysis permitted them, at best, a weak second-order g. But sup-
    pose they had prevailed and established the inevitability of a dom-
    inant g? Their argument still would have failed for a reason so
    basic that it passed everybody by. The problem resided in a logical
    error committed by all the great factorists I have discussed—the
    desire to reify factors as entities. In a curious way, the entire history
    that I have traced didn't matter. If Burt and Thurstone had never
    lived, if an entire profession had been permanently satisfied with
    Spearman's two-factor theory and had been singing the praises of
    its dominant g for three-quarters of a century since he proposed it,
    the flaw would be as glaring still.
    The fact of pervasive positive correlation between mental tests
    must be among the most unsurprising major discoveries in the his-
    tory of science. For positive correlation is the prediction of almost
    every contradictory theory about its potential cause, including both
    extreme views: pure hereditarianism (which Spearman and Burt
    came close to promulgating) and pure environmentalism (which no
    major thinker has ever been foolish enough to propose). In the
    first, people do jointly well or poorly on all sorts of tests because
    they are born either smart or stupid. In the second, they do jointly
    well or poorly because they either ate, read, learned, and lived in
    an enriched or a deprived fashion as children. Since both theories
    predict pervasive positive correlation, the fact of correlation itself
    can confirm neither. Since g is merely one elaborate way of
    expressing the correlations, its putative existence also says nothing
    about causes.

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