Constructing rationals through conjoint measurement of numerator and denominator as approximate integer magnitudes in tradeoff relations
Abstract To investigate mechanisms of rational representation, I consider (1) construction of an ordered continuum of psychophysical scale of magnitude of sensation; (2) counting mechanism leading to an approximate numerosity scale for integers; and (3) conjoint measurement structure pitting the denominator against the numerator in tradeoff positions. Number sense of resulting rationals is neither intuitive nor expedient in their manipulation.
2015 ◽
Vol 223
(2)
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pp. 102-109
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1999 ◽
Vol 99
(2)
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pp. 61-70
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