Alexander Bain

"What renders a problem definite, and what leaves it indefinite, may best be understood from mathematics. The very important idea of solving a problem within limits of error is an element of rational c…"

"Disinterestedness is as great a puzzle and paradox as ever. Indeed, strictly speaking, it is a species of irrationality, or insanity, as regards the individual’s self; a contradiction of the most esse…"

"Those that can readily master the difficulties of Mathematics find a considerable charm in the study, sometimes amounting to fascination. This is far from universal; but the subject contains elements …"

"The arguments for the two substances - mind and body - have, we believe, entirely lost their validity; they are no longer compatible with ascertained science and clear thinking. One substance with two…"

"He that could teach mathematics well, would not be a bad teacher in any of the rest unless by the accident of total inaptitude for experimental illustration; while the mere experimentalist is likely t…"

"Instinct is untaught ability."