A Quote by Morris Kline
The stone that Dr. Johnson once kicked to demonstrate the reality of matter has become dissipated in a diffuse distribution of mathematical probabilities. The ladder that Descartes, Galileo, Newton, and Leibniz erected in order to scale the heavens rests upon a continually shifting, unstable foundation.
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The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method
With an absurd oversimplification, the 'invention' of the calculus is sometimes ascribed to two men, Newton and Leibniz. In reality, the calculus is the product of a long evolution that was neither initiated nor terminated by Newton and Leibniz, but in which both played a decisive part.
The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method-more daring than anything that the history of philosophy records-of Lobachevsky and Riemann, Gauss and Sylvester. Indeed, mathematics, the indispensable tool of the sciences, defying the senses to follow its splendid flights, is demonstrating today, as it never has been demonstrated before, the supremacy of the pure reason.
In the index to the six hundred odd pages of Arnold Toynbee's A Study of History, abridged version, the names of Copernicus, Galileo, Descartes and Newton do not occur yet their cosmic quest destroyed the medieval vision of an immutable social order in a walled-in universe and transformed the European landscape, society, culture, habits and general outlook, as thoroughly as if a new species had arisen on this planet.
Laplace would have found it child's-play to fix a ratio of progression in mathematical science between Descartes, Leibnitz, Newton and himself
Building a business is like building a home. If the foundation rests on an unstable setting or is constructed with subpar materials, it doesn't matter if the rest of the home is perfect. It will never be a joy to its owner
I was trying to run something to ground that had come to my attention when I was working on the Baroque Cycle. That series, of course, was about the conflict between Newton and Leibniz. Leibniz developed a system of metaphysics called monadology, which looked pretty weird at the time and was promptly buried by Newtonian-style physics.
The line between faith and fanaticism is a constantly shifting one,” Dr. Poblocki said. “When does belief become justification? When does right become rationale and crusade become crime?
The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree.
Mathematics is not only real, but it is the only reality. That is that entire universe is made of matter, obviously. And matter is made of particles. It's made of electrons and neutrons and protons. So the entire universe is made out of particles. Now what are the particles made out of They're not made out of anything. The only thing you can say about the reality of an electron is to cite its mathematical properties. So there's a sense in which matter has completely dissolved and what is left is just a mathematical structure.
... knowledge must continually be renewed by ceaseless effort, if it is not to be lost. It resembles a statue of marble which stands in the desert and is continually threatened with burial by the shifting sand. The hands of service must ever be at work, in order that the marble continue to lastingly shine in the sun. To these serving hands mine shall also belong.
With an absurd oversimplification, the "invention" of calculus [method in mathematics] is sometimes ascribed to two men, Newton and Leibniz.
Anthropology found its Galileo in Rivers, its Newton in Mauss.
...from the time of Kepler to that of Newton, and from Newton to Hartley, not only all things in external nature, but the subtlest mysteries of life and organization, and even of the intellect and moral being, were conjured within the magic circle of mathematical formulae.
What Galileo and Newton were to the seventeenth century, Darwin was to the nineteenth.
Speak as you think, be what you are, pay your debts of all kinds. I prefer to be owned as sound and solvent, and my word as good as my bond, and to be what cannot be skipped, or dissipated, or undermined, to all the eclat in the universe. This reality is the foundation of friendship, religion, poetry, and art.
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