— 205 —

others, even those that approach nearest, makes me apt to think,

that Demonstrations in Numbers, if they are not more evident and

exact, than in Extension, yet they are more general in their use, and

— 206 —

more determinate in
their Application. Because the are more precise, and distinguishable than in Extension; where

every Equality and Excess are not so easie to be observed, or

measured; because our Thoughts cannot in Space arrive at any

determined smallness beyond which it cannot go, as an Unite; and

therefore the quantity or proportion of any the least Excess cannot

be discovered, which is clear otherwise in Number, where, as has

been said, 91 is as distinguishable from 90, as from 9000, though 91

be the next immediate Excess to 90. But it is not so in Extension,

where whatsoever is more than just a Foot, or an Inch, is not

distinguishable from the Standard of a Foot, or an Inch; and in

Lines which appear of an equal length, one may be longer than

the other by innumerable Parts: Nor can any one assign an Angle,

which shall be the next biggest to a right one.

Locke * Hum* II, 16, §4, pp. 205-206