
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If science and mathematical concepts can influence aesthetics and artistic production, also the opposite is true: aesthetics can influence scientific research. Aesthetics, elegance of the formalism, and focus on geometry were relevant for the research of the physicist Paul Dirac...
Theorem 4.2.1.
Abstract ideas do not belong to nature, thus we can consider them as colimits or limits using universal properties for natural entities.
This may give hints about the meaning of images’ sonifications. In fact, sonifying a shape also means to establish a mapping between a sequence of points ‘without time,’ taken from the given shape, to a sequence of events in time (sounds, musical notes performed one after the other). Even if we consider continuous shapes to be mapped into continuous sound sequences, such as a violin glissando, we have to assign a starting time, and an ending time, and thus a duration to the overall process.
...The important lesson to be learned here is that in the United States one man (or one coterie) cannot declare war. That can be done only by the two Houses of Congress (531 members), elected by the direct vote of the people. Action is not likely to be hurried or unjust.
"The genius and character of our institutions are peaceful," said the Supreme Court of the United States (1849), "and the power to declare war was not conferred upon Congress for the purposes of aggression or aggrandizement, but to enable the general government to vindicate by arms, if
it should become necessary, its own rights and the rights of its citizens."
ARTICLE II
A well regulated Militia, being necessary to the security of a free State, the right of the people to
keep and bear arms shall not be infringed.
This means the arms necessary to a militia, and not
the dirks, pistols, and other deadly weapons used by the lawless. In the Declaration of Rights it was complained that kings had disarmed the people. Of course the colonists were by force of early circumstances bearers of arms. This prohibition upon the Nation means that it can never
interfere with the people who make the militia of the States, and that therefore the States will always have the means to check by physical force any usurpation of authority not given to the Nation by the Constitution.
It has been pointed out that the first ten Amendments sprang from the fear of National power which many of the States possessed. Those Amendments were designed to stay the National hand. But the Civil War taught that the Nation may be in even greater peril from the States than they ever were from the Nation. And so, after more than seventy years, the people, by this Amendment and the two Amendments following, laid up0n the States restrictions which a few years before would have been impossible. The country had gone sixty-one years (1804-1865) without an Amendment.
Man's Search for Ultimate Meaning by Viktor E. Frankl My rating: 0 of 5 stars The Origin of Intolera...