11 FEB 2014 by ideonexus
Curse of the Gifted: Personal Account
I am miles away from Eric or Linus, but the "curse of the gifted" is very real.
Thankfully I wasn't smart or gifted enough that I could ride it for long, but when it comes to math and problem-solving I rode it well into my high school years. I never learned to do algebra "by the book," because I didn't need to. Or maybe because I wasn't smart enough to.
The math teacher would teach "3x 6 = 9." Basic algebraic problem-solving says you subtract the 6 from both sides, then divide by 3. So "3...
2 A reply to the article, personal anecdote.
21 JAN 2014 by ideonexus
Understanding is Music
Sure there is music even in the beauty, and the silent note which Cupid Strikes, far sweeter than the sound of an instrument. For there is music wherever there is harmony, order and proportion; and thus far we may maintain the music of the spheres; for those well ordered motions, and regular paces, though they give no sound unto the ear, yet to the understanding they strike a note most full of harmony. 1 
notes
notesKnowledge brings us harmony everywhere.
31 JUL 2013 by ideonexus
Science Manipulates Language to Make it More Precise
Let us consider two spheres moving in different di-
rections on a smooth table. So as to have a definite
picture, we may assume the two directions perpendicu-
lar to each other. Since there are no external forces
acting, the motions are perfectly uniform. Suppose,
further, that the speeds are equal, that is, both cover
the same distance in the same interval of time. But
is it correct to say that the two spheres have the same
velocity? The answer can be yes or no ! If the speedo-
mete...The example is "velocity" which in common parlance is the same as "speed," but in science it means "speed and direction."
12 APR 2013 by ideonexus
Laplace's Demon
We may regard the present state of the universe as the effect of its past and the cause of its future. An intellect which at a certain moment would know all forces that set nature in motion, and all positions of all items of which nature is composed, if this intellect were also vast enough to submit these data to analysis, it would embrace in a single formula the movements of the greatest bodies of the universe and those of the tiniest atom; for such an intellect nothing would be uncertain an...Folksonomies: prediction chaos theory
Folksonomies: prediction chaos theory
1 notes
notesIf an intellect could know all the positions and motions of the Universe at one point could predict the future.
27 AUG 2012 by ideonexus
Laws of Motion
LAW I.
Every body perseveres in its state of rest, or of uniform motion in a right line, unless it is compelled to change that state by forces impressed thereon.
Projectiles persevere in their motions, so far as they are not retarded by the resistance of the air, or impelled downwards by the force of gravity. A top, whose parts by their cohesion are perpetually drawn aside from rectilinear motions, does not cease its rotation, otherwise than as it is retarded by the air. The greater bodies... 1 notes
notesThe original source of these laws from Newton.
16 MAY 2012 by ideonexus
Simple Laws Produce Complex Phenomena
But the most impressive fact is that gravity is simple. It is simple to state the principles completely and not have left any vagueness for anybody to change the ideas of the law. It is simple, and therefore it is beautiful. It is simple in its pattern. I do not mean it is simple in its action—the motions of the various planets and the perturbations of one on the other can be quite complicated to work out, and to follow how all those stars in a globular cluster move is quite beyond our abil... 1 notes
notesGravity is simple and elegant, but it produces immensely complex interactions of objects in the Universe.
16 FEB 2012 by ideonexus
Copernicus on Gravity
I myself consider that gravity is merely a certain natural inclination with which parts are imbued by the architect of all things for gathering themselves together into a unity and completeness by assembling into the form of a globe. It is easy to believe that the Sun, Moon and other luminaries among the wandering stars have this tendency also, so that by its agency they retain the rounded shape in which they reveal themselves, but nevertheless go round their orbits in various ways. If then t... 1 notes
notesHe correctly surmises that the force pulls heavenly objects into spheres.
16 FEB 2012 by ideonexus
Copernicus' Hypothesis
After I had addressed myself to this very difficult and almost insoluble problem, the suggestion at length came to me how it could be solved with fewer and much simpler constructions than were formally used, if some assumptions (which are called axioms) were granted me. They follow in this order.
There is no one center of all the celestial circles or spheres.
The center of the earth is not the center of the universe, but only of gravity and of the lunar sphere.
All the spheres revolve about... 1 notes
notesThat the Earth revolves around the Sun.
31 MAY 2011 by ideonexus
Aristotle's Attempt to Categorize Motion
11 Now everything that changes place is moved either by itself or by something else. In as many of these as are moved by themselves, it is obvious that the moved and mover are together, since the first mover is present in them, so that nothing is in-between. But as many as are moved by other things must come about in four ways, for there are four kinds of change of place by means of something else: pulling, pushing, carrying, and whirling. For all motions with respect to place lead back to th... 1 notes
notesHis efforts to build a taxonomy of motion demonstrates the difficulty of properly classifying things as a foundation to building hypotheses.
