Quotable Mathematics

"Clearly, if the state of the system is coupled to parameters of an environment and the state of the environment is made to modify para...

"Things are called continuous when the touching limits of each become one and the same and are contained in each other. Continuity is i...

"Since [...] nature is a principle of motion and mutation [...] it is necessary that we should not be ignorant of what motion is [...] ...

"Some people who talk about the Fourth Dimension do not know they mean it. It is only another way of looking at Time. There is no diffe...

"Ecology is the scientific study of the interactions that determine the distribution and abundance of organisms." (Charles J Krebs...

"Everything we think we know about the world is a model. Every word and every language is a model. All maps and statistics, books and d...

"In every moment of her duration Nature is one connected whole; in every moment each individual part must be what it is, because all th...

"Genius and science have burst the limits of space, and few observations, explained by just reasoning, have unveiled the mechanism of t...

"A model is a work of fiction. Some properties ascribed to objects in the model will be genuine properties of the objects modelled, but...

"We say the map is different from the territory. But what is the territory? Operationally, somebody went out with a retina or a measuri...

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

“A quantity divided by zero becomes a fraction the denominator of which is zero. This fraction is termed an infinite quantity. In this quant...

"The young mathematical disciple 'topology' might be of some help in making psychology a real science." (Kurt Lewin, Princ...

"[…] statistics is the science of the measurement of the social organism, regarded as a whole, in all its manifestations." (Sir Ar...

“Il y a, dans la statistique, deux choses qui se trouvent continuellement mélangées, und methode et une science. On emploie la statistique c...

“Nature that framed us of four elements, Warring within our breasts for regiment, Doth teach us all to have aspiring minds: Our souls, wh...

“There is no smallest among the small and no largest among the large; But always something still smaller and something still larger.” (Anaxa...