A Quote by Alfred North Whitehead
Algebra reverses the relative importance of the factors in ordinary language.
Related Quotes
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.
Of course, relative citation frequencies are no measure of relative importance. Who has not aspired to write a paper so fundamental that very soon it is known to everyone and cited by no one?
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."
It is clear that the building of models is not a purely mechanical process but requires skill of a high order - not merely mathematical skill but a sensitivity to the relative importance of different factors and a critical, almost an artistic, faculty in the selection of behaviour equations which are reasonable, tentative hypotheses in explaining the behaviour of actual economies.
They have the idea that non-commutative algebra should remind one of commutative algebra, but the former is more sophisticated. I believe that non-commutative algebra is just as simple, but it is different.
The ordinary operations of algebra suffice to resolve problems in the theory of curves.
Neither Aristotelian nor Russellian rules give the exact logic of any expression of ordinary language; for ordinary language has no exact logic.
Instead of five hundred thousand average algebra teachers, we need one good algebra teacher. We need that teacher to create software, videotape themselves, answer questions, let your computer or the iPad teach algebra... The hallmark of any good technology is that it destroys jobs.
The importance of the ordinary citizen is very greatly underestimated - not so much by those in authority as by the ordinary citizen himself.
No one for a moment can pretend that printing is so great a discovery as writing, or algebra as a language.
In war, moral factors acount for three quarters of the whole; relative material strength accounts for only one quarter.
Stand firm in your refusal to remain conscious during algebra. In real life, I assure you, there is no such thing as algebra.
Language makes it possible for a child to incorporate his parents' verbal prohibitions, to make them part of himself....We don't speak of a conscience yet in the child who is just acquiring language, but we can see very clearly how language plays an indispensable role in the formation of conscience. In fact, the moral achievement of man, the whole complex of factors that go into the organization of conscience is very largely based upon language.
We may always depend on it that algebra, which cannot be translated into good English and sound common sense, is bad algebra.
The research carried out in the area of language technology is of utmost importance for the consolidation of Portuguese as a language of global communication in the information society.
I am aware of the technical distinction between ‘less’ and ‘fewer’, and between ‘uninterested’ and ‘disinterested’ and ‘infer’ and ‘imply’, but none of these are of importance to me. ‘None of these are of importance,’ I wrote there, you’ll notice – the old pedantic me would have insisted on “none of them is of importance”. Well I’m glad to say I’ve outgrown that silly approach to language
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