Quantitative relations between the sensations and the stimuli that produce them are the domain of psychophysics, a branch of natural science not yet known at the time of Immanuel Kant (1724-1804). But Kant's philosophical doctrines of perception imply that sensations can be quantified. Accordingly, he proposed not only to consider the magnitude of both sensations and stimuli but also to work out an appropriate mathematics that would relate these magnitudes to each other. This part of Kant's work received almost no attention up to the present time although it contains some essential elements of modern psychophysics.
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