— 643 —

§7.

the Truth we search after. General and certain Truths, are only

founded in the Habitudes and Relations of abstract

and methodical application of our Thoughts, for the finding out

these Relations, is the only way to discover all, that can be put,

with Truth and Certainty concerning them, into general Proposi-

tions. By what steps we are to proceed in these, is to be learned in

the Schools of the Mathematicians, who from very plain and easy

beginnings, by gentle degrees, and a continued Chain of Reasonings,

proceed to the discovery and demonstration of Truths, that appear

at first sight beyond humane Capacity. The Art of finding Proofs,

and the admirable Methods they have invented for the singling out,

and laying in order those intermediate

shew the equality or inequality of unapplicable quantities, is that

which has carried them so far, and produced such wonderful and

unexpected discoveries: but whether something like this, in respect

of other

found out, I will not determine. This, I think, I may say, that if

other

Species, were pursued in the way familiar to Mathematicians, they

would carry our Thoughts farther, and with greater evidence and

clearness, than possibly we are apt to imagine.

Locke* Hum* IV, 12, §7, p. 643