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All the knowledge we possess of external objects is founded upon experience, which furnishes facts; and the comparison of these facts establishes relations, from which induction, the intuitive belief that like causes will produce like effects, leads to general laws. Thus, experience teaches that bodies fall at the…
The disappearance of the traditional world of the ‘four elements’ was revolutionary. It was as radical in the world of chemistry as Copernicus’s proof that the earth was not the centre of the solar system; or (some said) as Robespierre’s claim that the people, not the king, embodied sovereignty. Moreover, it was…
Laplace’s cool confidence in avowing atheistical sentiments was legendary. The story was told that after Napoleon had inspected a copy of Laplace’s Systéme du Monde, he challenged the astronomer about his beliefs. ‘Monsieur Laplace! Newton has frequently spoken of God in his book. I have already gone over yours, and I…
Part of the power of the story was that it replaced the sacred Biblical account of the Fall from Innocence in Genesis (Eve and the apple) with a secular parable of the Ascent to Knowledge. See Patricia Fara, Newton: The Making of Genius (2005); and for a broad visionary perspective, Jacob Bronowski’s scientific…
Newton wasn't the first person to make a rainbow with a prism. Other people had already got the same result. But many of them thought the prism somehow 'coloured' the white light, like adding a dye. Newton's idea was quite different. He thought that white light was a mixture of all the colours, and the prism was just…
If you want to see a rainbow you ' have to have the sun behind you when you look at a rainstorm. Each raindrop is more like a little ball than a prism, and light behaves differently when it Sits a ball from how it behaves when it hits a prism. The difference is that the far side of I raindrop acts as a tiny mirror…
Foreshadowings of the principles and even of the language of [the infinitesimal] calculus can be found in the writings of Napier, Kepler, Cavalieri, Pascal, Fermat, Wallis, and Barrow. It was Newton's good luck to come at a time when everything was ripe for the discovery, and his ability enabled him to construct…
If one assumes that a few hundred million years in stable orbit are necessary for planetary life to evolve, the number of space dimensions is also fixed by our existence. That is because, according to the laws of gravity, it is only in three dimensions that stable elliptical orbits are possible. Circular orbits are…
[P]olitical and social and scientific values … should be correlated in some relation of movement that could be expressed in mathematics, nor did one care in the least that all the world said it could not be done, or that one knew not enough mathematics even to figure a formula beyond the schoolboy s=(1/2)gt2. If…
In the very largest way of looking at planet Earth's socioeconomic-evolution events, we must observe that humans are designed with legs and not roots. Yesterday, humanity developed temporary roots as it cultivated its life-support food root-grown on the land. The metals made possible metal canning of food and…
Every point mass attracts every single other point mass by a force pointing along the line intersecting both points. The force is proportional to the product of the two masses and inversely proportional to the square of the distance between them
These are the principal geniuses that the human mind must regard as its masters and for whom the Greeks would have erected statues, even if they were obliged to make more space by demolishing the monuments of some conquerors.
First, of course, comes independence, in observation and thence in thought. I once told an audience of school-children that the world would never change if they did not contradict their elders. J was chagrined to find next morning that this axiom outraged their parents. Yet it is the basis of the scientific method. A…
One had to be a Newton to see that the Moon is falling, when everyone sees that it doesn't. - Paul Valery
The creation was a concept—a connected set of concepts. There was the concept of a universal gravitation-reaching beyond the tree tops and the air to the ends of space. There was the concept of other universal forces in space, which ti to pull the moon away as a whirling stone pulls away fro: its string. And there was…
Science finds order and meaning in our experience, and sets about this in quite a different way. It sets about it as New¬ ton did in the story which he himself told in his old age, and of which the schoolbooks give only a caricature. In the year 1665, when Newton was twenty-two, the plague broke out in southern…
There's a tendency to pomposity in all this, to make it all deep and profound. My son is taking a course in philosophy, and last night we were looking at something by Spinoza--and there was teh most childish reasoning! There were all these Attributes, and Substances, all this meaningless chewing around, and we started…
I have translated the entire work: it is clear to me that not once does he employ the word 'time.' The explanation is obvious: The Garden of Forking Paths is an incomplete, but not false, image of the universe as Ts'ui Pen conceived it. In contrast to Newton and Schopenhsauer, your ancestor did not believe in a…