A Quote by Cornelius Cardew
The notation is more important than the sound. Not the exactitude and success with which a notation notates a sound; but the musicalness of the notation in its notating.
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It is important to distinguish the difficulty of describing and learning a piece of notation from the difficulty of mastering its implications. [...] Indeed, the very suggestiveness of a notation may make it seem harder to learn because of the many properties it suggests for exploration.
With the computer and programming languages, mathematics has newly-acquired tools, and its notation should be reviewed in the light of them. The computer may, in effect, be used as a patient, precise, and knowledgeable "native speaker" of mathematical notation.
...the question undoubtedly is, or soon will be, not whether or no we shall employ notation in chemistry, but whether we shall use a bad and incongruous, or a consistent and regular notation.
In fact, quite a lot of what I do has to do with sound texture, and, you can't notate that. You can't notate the sound of "St. Elmo's Fire." There's no way of writing that down. That's because musical notation arose at a time when sound textures were limited. If you said violins and woodwind that defined the sound texture; if I say synthesizer and guitar it means nothing - you're talking about 28,000 variables.
Although mathematical notation undoubtedly possesses parsing rules, they are rather loose, sometimes contradictory, and seldom clearly stated. [...] The proliferation of programming languages shows no more uniformity than mathematics. Nevertheless, programming languages do bring a different perspective. [...] Because of their application to a broad range of topics, their strict grammar, and their strict interpretation, programming languages can provide new insights into mathematical notation.
Your remarks upon chemical notation with the variety of systems which have arisen, &c., &c., had almost stirred me up to regret publicly that such hindrances to the progress of science should exist. I cannot help thinking it a most unfortunate thing that men who as experimentalists & philosophers are the most fitted to advance the general cause of science & knowledge should by promulgation of their own theoretical views under the form of nomenclature, notation, or scale, actually retard its progress.
I was appalled to find that the mathematical notation on which I had been raised failed to fill the needs of the courses I was assigned, and I began work on extensions to notation that might serve. In particular, I adopted the matrix algebra used in my thesis work, the systematic use of matrices and higher-dimensional arrays (almost) learned in a course in Tensor Analysis rashly taken in my third year at Queen's, and (eventually) the notion of Operators in the sense introduced by Heaviside in his treatment of Maxwell's equations.
Sometimes I write them down in musical notation as a trigger to remind me about certain directions to go. Or I can be specific about a sound I'm looking for.
Many persons who are not conversant with mathematical studies imagine that because the business of [Babbage’s Analytical Engine] is to give its results in numerical notation, the nature of its processes must consequently be arithmetical and numerical, rather than algebraical and analytical. This is an error. The engine can arrange and combine its numerical quantities exactly as if they were letters or any other general symbols; and in fact it might bring out its results in algebraical notation, were provisions made accordingly.
I am always interested in the ways of scoring the sound of the poem, especially a poem with long lines. Spaces within a line, double colons, slashes, are indications of pause, of breath, of urgency, they are not metrically exact as in a musical notation but they serve (I hope) to make the reader think about the sound of the poem - just as traffic symbols, when driving, make us almost unconsciously aware of a steep hill, an intersection, an icy bridge etc.
When I write a paper, I change my notation much more than I change my concepts.
The utility of a language as a tool of thought increases with the range of topics it can treat, but decreases with the amount of vocabulary and the complexity of grammatical rules which the user must keep in mind. Economy of notation is therefore important.
During the process of stepwise refinement, a notation which is natural to the problem in hand should be used as long as possible.
For a good notation has a subtlety and suggestiveness which at times make it seem almost like a live teacher.
I wrote music as soon as I knew notation.
the whole purport of literature...is the notation of the heart. Style is but the faintly contemptible vessel in which the bitter liquid is recommended to the world.
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