MATHEMATICS.
We consider it quite possible to bring down to ordinary capacities even the truths of pure mathematics, by the substitution of a less general and precise species of evidence. We have ourselves made the attempt, and hence we are satisfied of its entire practicability. Into what a small space would the useful and practical truths of geometry be reduced, were we to dispense with the auxiliary propositions which are required merely to complete the rigid process of demonstration. How simple, for example, would be the doctrine of parallel lines!—Foreign Review.