Quotable Mathematics

"Up until now most economists have concerned themselves with linear systems, not because of any belief that the facts were so simple,...

"The Syllogism consists of propositions, propositions consist of words, words are symbols of notions. Therefore if the notions themselv...

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

"Mathematical model making is an art. If the model is too small, a great deal of analysis and numerical solution can be done, but the r...

"A higher-level formal language is an abstract machine." (Joseph Weizenbaum, "Computer power and human reason: From judgment ...

"Principles taken upon trust, consequences lamely deduced from them, want of coherence in the parts, and of evidence in the whole, thes...

"Indeed, except for the very simplest physical systems, virtually everything and everybody in the world is caught up in a vast, nonline...

"In complex systems cause and effect are often not closely related in either time or space. The structure of a complex system is not a ...

"Ideas are substitutions which require a secondary process when what is symbolized by them is translated into the images and experience...

"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...

"I am not content with algebra, in that it yields neither the shortest proofs nor the most beautiful constructions of geometry. Consequ...

"To imagine - to form an image - we must have the numerous relations of things present to the mind, and see the objects in their actual...

"One of the strongest benefits of the systems thinking perspective is that it can help you learn to ask the right questions. This is an...

"Systems thinking is a discipline for seeing the 'structures' that underlie complex situations, and for discerning high from lo...

"When the Soul wants to experience something she throws out an image in front of her and then steps into it." (Eckhart von Hochhei...

"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...

" And as the ideal in the whole of Nature moves in an infinite process toward an Absolute Perfection, we may say that art is in strict ...

"Everything abstract is ultimately part of the concrete. Everything inanimate finally serves the living. That is why every activity dea...

"For scientific endeavor is a natural whole the parts of which mutually support one another in a way which, to be sure, no one can anti...