The study of mathematics is apt to commence in disappointment... We are told that by its aid the stars are weighed and the billions of molecules in a drop of water are counted. Yet, like the ghost of Hamlet's father, this great science eludes the efforts of our mental weapons to grasp it.
Alfred North WhiteheadAll practical teachers know that education is a patient process of mastery of details, minute by minute, hour by hour, day by day.
Alfred North WhiteheadIn the study of ideas, it is necessary to remember that insistence on hard-headed clarity issues from sentimental feeling, as it were a mist, cloaking the perplexities of fact. Insistence on clarity at all costs is based on sheer superstition as to the mode in which human intelligence functions. Our reasonings grasp at straws for premises and float on gossamers for deductions.
Alfred North WhiteheadEvery organism requires an environment of friends, partly to shield it from violent changes, and partly to supply it with its wants.
Alfred North WhiteheadThe aim of science is to seek the simplest explanation of complex facts. We are apt to fall into the error of thinking that the facts are simple because simplicity is the goal of our quest. The guiding motto in the life of every natural philosopher should be ``Seek simplicity and distrust it.''
Alfred North Whitehead