“No thought, no reflection, no analysis, No cultivation, no intention; Let it settle itself.”

“Your seed is your initial intent and it flourishes when your actions reflect that intent.”

“Intent is a reflection of the spirit's desire to create in the material world.”

“Let us cultivate our garden.”

“It is not true, out of geometry, that the mathematical sciences are, in all their parts those models of finished accuracy which many suppose. The extreme boundaries of analysis have always been as imperfectly understood as the tract beyond the boundaries was absolutely unknown. But the way to enlarge the settled country has not been by keeping within it, but by making voyages of discovery, and I am perfectly convinced that the student should be exercised in this manner; that is, that he should be taught how to examine the boundary, as well as how to cultivate the interior. …allowing all students whose capacity will let them read on the higher branches of applied mathematics, to have each his chance of being led to the cultivation of those parts of analysis on which rather depends its future progress than its present use in the sciences of matter.”

“Life is not governed by will or intention. Life is a question of nerves, and fibres, and slowly built-up cells in which thought hides itself and passion has its dreams.”

“In fact we say that an intention is good, that is, right in itself, but that an action does not bear any good in itself but proceeds from a good intention.”
Bonam quippe intentionem, hoc est, rectam in se dicimus, operationem vero non quod boni aliquid in se suscipiat, sed quod ex bona intentione procedat. Unde et ab eodem homine cum in diversis temporibus idem fiat, pro diversitate tamen intentione eius operatio modo bono modo mala dicitur.

“The sin is not in the persuasion itself, but in the intention of that individual. If the intention is pure, then your means will also be justified.”

“I think that the cultivation of the humane letters has the most distinct bearing on the cultivation and appreciation of science. Science is nothing without imagination; and imagination is most readily kept fresh by literature. What little good there is a mere descriptive person, and in the small facts which with painful toil he accumulates. But let these facts be welded together by thought, their bearing traced by imagination, experiments devised by the mind projecting itself in advance of them, and the plodder is likely to become the great discoverer.”

“All realism derives from the analysis of knowledge; all idealism derives from the analysis of a thought.”