An Introduction to Mathematics Quotes

“Mathematics”

“History of science”

“History of calculus”

“Alfred North Whitehead”

“History of mathematics”

“[S]cience reduces the chair to things moving in space and influencing each other's motions.”

“[W]e ascribe the origin of... sensations to relations between the things which form the external world.”

“Our very thoughts appear to correspond to conformations and motions of the brain; injure the brain and you injure the thoughts.”

“The really profound changes in human life all have their ultimate origin in knowledge pursued for its own sake.”

“Arithmetic... will be a good subject to consider in order to discover, if possible, the most obvious characteristic of the science.”

“An Introduction to Mathematics (1911)*oogleBooks”

“"A show of violence,"...may surely be "offered" to the trivial results which occupy the pages of some elementary mathematical treatises.”

“[W]e... endeavour to imagine the world as one connected set of things which underlies all the perceptions of all people.”

“To see what is general in what is particular and what is permanent in what is transitory is the aim of scientific thought.”

“In the application of mathematics to the investigation of natural philosophy, science does systematically what ordinary thought does casually.”

“[I]t is... an error to confine attention to technical processes, excluding consideration of general ideas. Here lies the road to pedantry.”

“[T]he events of such an abstract world are sufficient to "explain" our sensations.”

“[I]f in truth there be such a world, it ought to submit itself to an exact description, which determines accurately its various parts and their mutual relations.”

“The ideas of any and of some are introduced into algebra by the use of letters, instead of the definite numbers of arithmetic.”

“One of the causes of the apparent triviality of much of elementary algebra is the preoccupation of the text-books with the solution of equations.”