Algebra reverses the relative importance of the factors in ordinary language. It is essentially a written language, and it endeavors to exemplify in its written structures the patterns which it is its purpose to convey. The pattern of the marks on paper is a particular instance of the pattern to be conveyed to thought. The algebraic method is our best approach to the expression of necessity, by reason of its reduction of accident to the ghostlike character of the real variable.
Alfred North WhiteheadRelated topics
accident algebra approach best character instance language necessity paper purpose real reason reduction thought variable writeRelated quotes
Composition, the aim of which is expression, alters itself according to the surface to be covered. If I take a sheet of paper of given dimensions I will jot down a drawing which will have a necessary relation to its format – I would not repeat this drawing on another sheet of different dimensions, for instance on a rectangular sheet.... a drawing must have a power of expansion which can bring to life the space which surrounds it.
Henri Matisse
Surely such a union of indomitable resolution in the achievement of a given purpose, with patience and moderation in the policy pursued, and with kindly charity and consideration and friendliness to those of opposite belief, marks the very spirit in which we of to-day should approach the pressing problems of the present. These problems have to do with securing a more just and generally wide spread welfare, so that there may be a more substantial measure of equality in moral and physical well-being among the people.
Theodore Roosevelt
An analysis [of urban space] is possible only if one reduces social action to a language and social relations to systems of communication. The ideological displacement carried out in this perspective consists in passing from one method of mapping traces of social practice through its effects on the organization of space to a principle of organization deduced from the formal expression listed, as if social organization were a code and urban structure a set of myths.
Manuel Castells
Von Neumann languages do not have useful properties for reasoning about programs. Axiomatic and denotational semantics are precise tools for describing and understanding conventional programs, but they only talk about them and cannot alter their ungainly properties. Unlike von Neumann languages, the language of ordinary algebra is suitable both for stating its laws and for transforming an equation into its solution, all within the "language."
John Backus
Yet I am not more sure that my soul lives, than I am that perverseness is one of the primitive impulses of the human heart - one of the indivisible primary faculties, or sentiments, which give direction to the character of man. Who has not, a hundred times, found himself committing a vile or a stupid action, for no other reason than because he knows he should not? Have we not a perpetual inclination, in the teeth of our best judgement, to violate that which is Law, merely because we understand it to be such?
Edgar Allan Poe