Quotable Mathematics

"The topics of ontology, or metaphysic, are cause, effect, action, passion, identity, opposition, subject, adjunct, and sign." (Is...

"Man's general way of thinking of the totality, i.e. his general world view, is crucial for overall order of the human mind itself....

"Mathematics is not placid, static and eternal. […] Most mathematicians are happy to make use of those axioms in their proofs, although...

"The equation e^πi+1 = 0 is true only by virtue of a large number of profound connections across many fields. It is true be...

"Whereas the conception of space and time as a four-dimensional manifold has been very fruitful for mathematical physicists, its effect...

"Chemistry and physics are experimental sciences; and those who are engaged in attempting to enlarge the boundaries of science by exper...

"Mere deductive logic, whether you clothe it in mathematical symbols and phraseology or whether you enlarge its scope into a more gener...

"Cybernetics is concerned primarily with the construction of theories and models in science, without making a hard and fast distinction...

"Language is a purely human and non-instinctive method of communicating ideas, emotions and desires by means of a system of voluntarily...

"Symbols have a trick of stealing the show away from the thing they stand for." (Henry S Haskins, "Meditations in Wall Street...

"By a symbol I do not mean an allegory or a sign, but an image that describes in the best possible way the dimly discerned nature of th...

"[a set is] an embodiment of the idea or concept which we conceive when we regard the arrangement of its parts as a matter of indiffere...

"We form in the imagination some sort of diagrammatic, that is, iconic, representation of the facts, as skeletonized as possible. The i...

"Concept maps have long provided visual languages widely used in many different disciplines and application domains. Abstractly, they a...

"The diagrams incorporate a large amount of information. Their use provides extensive savings in space and in mental effort. In the cas...

"Computer languages of the future will be more concerned with goals and less with procedures specified by the programmer." (Marvin...

"Meantime, there is no doubt a certain crudeness in the use of a complex wave function. If it were unavoidable in principle, and not me...