Every intellectual revolution which has ever stirred humanity into greatness has been a passionate protest against inert ideas. Then, alas, with pathetic ignorance of human psychology, it has proceeded by some educational scheme to bind humanity afresh with inert ideas of its own fashioning.
Alfred North WhiteheadMathematics, in its widest significance, is the development of all types of formal, necessary, deductive reasoning.
Alfred North WhiteheadThe true method of discovery is like the flight of an aeroplane. It starts from the ground of particular observation; it makes a flight in the thin air of imaginative generalization; and it again lands for renewed observation rendered acute by rational interpretation.
Alfred North WhiteheadEvery philosophy is tinged with the coloring of some secret imaginative background, which never emerges explicitly into its train of reasoning.
Alfred North Whitehead