N. B. Other arguments innumerable, both a priori & a posteriori, drawn from all the sciences, from the clearest, plainest, most obvious truths, whereby to demonstrate the Principle, i.e. that neither our ideas, nor anything like our ideas, can possibly be in an unperceiving thing[266].

N. B. Not one argument of any kind wtsoever, certain or probable, a priori or a posteriori, from any art or science, from either sense or reason, against it.


Mathematicians have no right idea of angles. Hence angles of contact wrongly apply'd to prove extension divisible ad infinitum.

We have got the Algebra of pure intelligences.

We can prove Newton's propositions more accurately, more easily, & upon truer principles than himself[267].

Barrow owns the downfall of geometry. However I'll endeavour to rescue it—so far as it is useful, or real, or imaginable, or intelligible. But for the nothings, I'll leave them to their admirers.

I'll teach any one the whole course of mathematiques in 1/100 part the time that another will.

Much banter got from the prefaces of the mathematicians.