XXXV.
The simplest form of Repetition is that in which there is no variety, and thus gives rise to the conception of Number. (ii. 8.)
XXXVI.
The simplest numerical truths are seen by Intuition; when we endeavour to deduce the more complex from these simplest, we employ such maxims as these:—If equals be added to equals the wholes are equal:—If equals be subtracted from equals the remainders are equal:—The whole is equal to the sum of all its parts. (ii. 9.)
XXXVII.
The Perception of Time involves a constant and latent kind of memory, which may be termed a Sense of Succession. The Perception of Number also involves this Sense of Succession, although in small numbers we appear to apprehend the units simultaneously and not successively. (ii. 10.)
XXXVIII.
The Perception of Rhythm is not an impression on the passive sense, but requires an act of thought by which we connect and group the strokes which form the Rhythm. (ii. 10.)
XXXIX.
Intuitive is opposed to Discursive reason. In intuition, we obtain our conclusions by dwelling upon one aspect of the fundamental Idea; in discursive reasoning, we combine several aspects of the Idea, (that is, several axioms,) and reason from the combination. (ii. 11.)