I continued to study Math and Physics on my own, but one and a half years later I realized that I did want to be a composer, and after that I never changed my mind.
One might suppose that reality must be held to at all costs. However, though that may be the moral thing to do, it is not necessarily the most useful thing to do. The Greeks themselves chose the ideal over the real in their geometry and demonstrated very well that far more could be achieved by consideration of abstract line and form than by a study of the real lines and forms of the world; the greater understanding achieved through abstraction could be applied most usefully to the very reality that was ignored in the process of gaining knowledge.
Sometimes in studying Ramanujan's work, [George Andrews] said at another time, "I have wondered how much Ramanujan could have done if he had had MACSYMA or SCRATCHPAD or some other symbolic algebra package."
Later in the fifties I got involved in kinetic studies using my long forgotten math background.
Note too that a faithful study of the liberal arts humanizes character and permits it not to be cruel.
It would be as naive to study the song of the nightingale, as it would be ridiculous to try and win a King's Gambit against a representative of the old chess guard.
Had I not played the Sicilian with Black I could have saved myself the trouble of studying for more than 20 years all the more popular lines of this opening, which comprise probably more than 25 percent of all published opening theory!
Having spent alarmingly large chunks of my life studying the white side of the Open Sicilian, I find myself asking, why did I bother?
The main line of the Yugoslav Attack has become just too vast for most players to study in depth, and anyone intending to venture into such tricky waters needs to have an intimate knowledge of all the hidden reefs.
It is ... impossible to keep one's excellence in a little glass casket, like a jewel, to take it out whenever wanted. On the contrary, it can only be conserved by continuous and good practice.
First and foremost it is essential to understand the essence, the overall idea of any fashionable variation, and only then include it in one's repertoire. Otherwise the tactical trees will conceal from the player the strategic picture of the wood, in which his orientation will most likely be lost.
Every month I look through some ten thousand games, so not as to miss any new ideas and trends.
From time to time, like many other players, I glance through my own games of earlier years, and return to positions and variations which have gone out of practice. I attempt to restore them, to find new ideas and plans.
The concept of 'talent' is formed under completely abstract criteria, having nothing in common with reality. But the reality is such that I don't understand chess as a whole. But then again no one understands chess in its entirety. Perhaps talent is something else, in chess it is conditionality.
As an example, one of the schools I have been studying is too small to compete effectively in most sports, but participates with vigor each year in the state music contests.
There is something marvelously soft in the study of nature which attaches a name to every being, a thought to every name, affection and memories to every thought.
I play piano and guitar. Acoustic guitar. I tried studying classical guitar when I was 16 but it got really hard. I could never play a lead to save my life.
My graduate study was interrupted, like that of many others, by World War II.
Eight months later, having left Columbia, I was studying physics in a summer program and working in Colorado when I decided to enroll as a graduate student in biophysics.
I was later to receive an excellent first two years' graduate education in the same University and then again was able to pursue my studies in the U.S. on a fellowship from the aforementioned fund.
You ask me how, with so much study, I manage to retene my health. Morpheus is my last companion; without 8 or 9 hours of him yr correspondent is not worth one scavenger's peruke. My practices did at ye first hurt my stomach, but now I eat heartily enou' as y' will see when I come down beside you.
In early life I had felt a strong desire to devote myself to the experimental study of nature; and, happening to see a glass containing some camphor, portions of which had been caused to condense in very beautiful crystals on the illuminated side, I was induced to read everything I could obtain respecting the chemical and mechanical influences of light, adhesion, and capillary attraction.
Forests are breaking out all over America. New England has more forests since the Civil War. In 1880, New York State was only 25 percent forested. Today it is more than 66 percent. In 1850, Vermont was only 35 percent forested. Now it's 76 percent forested and rising. In the south, more land is covered by forest than at any time in the last century. In 1936 a study found that 80 percent of piedmont Georgia was without trees. Today nearly 70 percent of the state is forested. In the last decade alone, America has added more than 10 million acres of forestland.
In the 1920s the young English physicist Paul Dirac began trying to understand and describe the space-time evolution of the electron, the first elementary particle discovered by J.J. Thomson in 1897. Dirac was puzzled by an unprecedented property of space-time, discovered by Lorentz in his studies of electromagnetic forces, whereby if space was real, time had to be imaginary, and vice versa. In other words, space and time had to be a ‘complex’ mixture of two quantities, one real and the other imaginary.
And so when studying faces, we do indeed measure them, but as painters, not as surveyors.
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