Quantity

Number belongs to the intelligible realm, and the study of arithmetic trains the soul to ascend from becoming to being.

Quantity is a category of being: either discrete, like number, or continuous, like a line; it has no contrary and admits of no degrees.

Quantity is the first accident of corporeal substance, the property that follows directly upon matter and makes a body divisible into parts.

All reasoning is reckoning: the addition and subtraction of quantities, whether of numbers, names, or propositions.

Extension is the essence of matter: all physical properties reduce to geometrical ones, and the material world is nothing but quantity made actual.

Our ideas of quantity arise from sensation and reflection; number is the simplest and most universal idea, applicable to everything that exists or can be imagined.

Extension is not the essence of substance; force is. Spatial quantity is ideal, a well-founded phenomenon, not what is ultimately real.

All intuitions are extensive magnitudes: space and time, as forms of sensibility, make quantity possible, and mathematics is synthetic a priori knowledge.

Quantity is being from which quality has been sublated: pure indeterminate magnitude, the stage at which differences no longer alter the nature of the thing.