The chief innovator of symbolism in algebra was François Viète... an amateur in the sense that his professional life was devoted to the law... John Wallis... says that Viète, in denoting a class of numbers by a letter, followed the custom of lawyers who discussed legal cases by using arbitrary names [for the litigants]... and later the abbreviations... and still more briefly A, B, and C. Actually, letters had been used occasionally by the Greek Diophantus and by the Hindus. However, in these cases letters were confined to designating a fixed unknown number, powers of that number, and some operations. Viète recognized that a more extensive use of letters, and, in particular, the use of letters to denote classes of numbers, would permit the development of a new kind of mathematics; this he called logistica speciosa in distinction from logistica numerosa.
Morris KlineRelated topics
algebra amateur arbitrary chief custom development innovator john kind later law letter mathematics number professional sense symbolism unknown use using names operationsRelated quotes
If Christ were to walk in this world today, do you know what would happen to Him? He would be placed in a mental institution and given psycho-therapy, just as would His Saints. The world would crucify Him today just as it did 2000 years ago, for the world has not learned a thing, except more devious forms of hypocrisy. And what would happen if, in one of my classes at the university, I would one day tell my students that all the learning of this world is of no importance beside the duty of worshipping God, accepting the God-man who died for our sins, and preparing for the life of the world to come? They would probably laugh at me, and the university officials, if they found out, would fire me-for it is against the law to preach the Truth in our universities. We say that we live in a Christian society, but we do not: we live in a society.
Seraphim Rose
Unfortunately, truth is neither a listable nor a decidable property; nor is the truth of a statement of arithmetic. The American logician John Myhill has used the term 'prospective' to characterize those attributes of the world that are neither listable nor decidable. They are properties that cannot be recognized by the application of some formula, made to conform to a rule, or generated by some computer program. They are characterized by incessant novelty that cannot be encompassed by any finite set of rules. 'Beauty', 'ugliness', 'truth', 'harmony', simplicity', and 'poetry' are names we give to some of the attributes of this sort. There is no way of listing all examples of beauty or ugliness, nor any procedure for saying whether or not something possesses either of those attributes, without redefining them in some more restrictive fashion that kills their prospective character.
John D. Barrow
There is a process of slow modification and development mainly in directions which I view with misgiving. "Tory democracy," the favourite idea on that side, is no more like the Conservative party in which I was bred, than it is like Liberalism. In fact less. It is demagogism ... applied in the worst way, to put down the pacific, law-respecting, economic elements which ennobled the old Conservatism, living upon the fomentation of angry passions, and still in secret as obstinately attached as ever to the evil principle of class interests. The Liberalism of to-day is better ... yet far from being good. Its pet idea is what they called construction, - that is to say, taking into the hands of the State the business of the individual man. Both the one and the other have much to estrange me, and have had for many, many years.
William Ewart Gladstone
I decided to take a calligraphy class to learn [the art of decorative or hand lettering]. I learned about serif and sans-serif typefaces, about varying the space between different letter combinations, about what makes great typography great. It was beautiful. Historical. Artistically subtle in a way that science can't capture. And I found it fascinating. None of this had any hope of any practical application in my life. But 10 years later, when we were designing the first Macintosh computer, it all came back to me. And we designed it all into the Mac. It was the first computer with beautiful typography. If I had never dropped in on that single course in college, the Mac would never have multiple typefaces or proportionally spaced fonts. And since Windows just copied the Mac, it's likely that no personal computer would have them.
Steve Jobs
In 1946, a Macy Foundation interdisciplinary conference was organized to use the model provided by "feedback systems," honorifically referred to in earlier conferences as "teleological mechanisms," and later as "cybernetics," with the expectation that this model would provide a group of sciences with useful mathematical tools and, simultaneously, would serve as a form of cross-disciplinary communication. Out of the deliberations of this group came a whole series of fruitful developments of a very high order. Kurt Lewin (who died in 1947) took away from the first meeting the term "feedback". He suggested ways in which group processes, which he and his students were studying in a highly disciplined, rigorous way, could be improved by a "feedback process," as when, for example, a group was periodically given a report on the success or failure of its particular operations.
Margaret Mead