Quotable Mathematics

"The meaning of relativity [...] has been widely misunderstood. Philosophers play with the word, like a child with a doll. Relativity, ...

"According to the special theory there is a finite limit to the speed of causal chains, whereas classical causality allowed arbitrarily...

"By laying down the relativity postulate from the outset, sufficient means have been created for deducing henceforth the complete serie...

  "In the realm of physics it is perhaps only the theory of relativity which has made it quite clear that the two essences, space and t...

"Observation is so wide awake, and facts are being so rapidly added to the sum of human experience, that it appears as if the theorizer...

"The insights gained and garnered by the mind in its wanderings among basic concepts are benefits that theory can provide. Theory canno...

"Arithmetic and number theory study patterns of number and counting. Geometry studies patterns of shape. Calculus allows us to handle p...

"The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that...

"Historically, the original purpose of the theory of probability was to describe the exceedingly narrow domain of experience connected ...

"I am convinced that it is impossible to expound the methods of induction in a sound manner, without resting them on the theory of prob...

"Analysis is a method where one assumes that which is sought, and from this, through a series of implications, arrives at something whi...

"Physicists dream of a unified description of Nature. Symmetry, in its power to tie together apparently unrelated aspects of physics, i...

"Communication theory deals with certain important but abstract aspects of communication. Communication theory proceeds from clear and ...

"We have decided to call the entire field of control and communication theory, whether in the machine or in the animal, by the name Cyb...

"A valid scientific theory seldom if ever offers the solution to the pressing problems which we repeatedly state. It seldom supplies a ...

"The world can doubtless never be well known by theory: practice is absolutely necessary; but surely it is of great use to a young man,...

"A system of equations is deemed most elegant if it contains no un- necessary terms or parameters and if the parameters that remain hav...

"Years ago a statistician might have claimed that statistics deals with the processing of data [...] today’s statistician will be more ...

"There are living systems; there is no living 'matter'. No substance, no single molecule, extracted and isolated from a living ...