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In particular, we do not need them in the category of quantity.
Moreover, why does Aristotle include speech as a species in the category of quantity?
So, a second question about Aristotle's category of quantity naturally suggests itself: how can body be a species in both the category of quantity and the category of substance?
He claims, strikingly, that the category of quality flows from form and that the category of quantity flows from matter.
Some scholars have proposed that a universal science of 'posology' (a science of quantity) takes the whole category of quantity as its subject.
As discussed in the next section, the category of quantity and the language of measuring occupied a central place in Lefèvre's approach to Aristotle's natural philosophy.
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The ontological status of these does not concern him, but we may suppose that they consitute the category of quantities: the bodies, surfaces, edges, corners, places, and times, sounds, etc. of physical substances (Categories 6).
The principles of pure understanding that are associated with the categories of quantity (i.e., unity, plurality and totality) are the Axioms of Intuition.
Kant then explains that this means that the concept of matter must be determined according to the Critique of Pure Reason's categories of quantity, quality, relation, and modality (4:474–476).
His leading idea is that Kant's categories of quantity (of the First Critique) guarantee that motion is a magnitude, hence mathematics is applicable to the motions of bodies--as kinematics.
Clearly the universe's diurnal motion is not with respect to either of the categories of quantity or quality, and thus it must be with respect to place; however, in this horn of the dilemma it was assumed that the universe has no place, and so there is a contradiction.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com