quote by Leonhard Euler

In the meantime, most noble Sir, you have assigned this question to the geometry of position, but I am ignorant as to what this new discipline involves, and as to which types of problem Leibniz and Wolff expected to see expressed in this way.

— Leonhard Euler

Heartwarming Leibniz quotations

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.

Leibniz dedicated his life to efforts to educate people to understand that true happiness is found by locating their identity in benefitting mankind and their posterity.

With an absurd oversimplification, the "invention" of calculus [method in mathematics] is sometimes ascribed to two men, Newton and Leibniz.

It appears that the solution of the problem of time and space is reserved to philosophers who, like Leibniz, are mathematicians, or to mathematicians who, like Einstein, are philosophers.

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 dot was introduced as a symbol for multiplication by Leibniz.

On July 29, 1698, he wrote in a letter to Johann Bernoulli: "I do not like X as a symbol for multiplication, as it is easily confounded with x.

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.

Navarette, a Chinese missionary, agrees with Leibniz and says that "It is the special providence of God that the Chinese did not know what was done in Christendom; for if they did, there would be never a man among them, but would spit in our faces.

Leibniz mapped the principles concerning the conservation of energy, but nobody has yet scientifically diagrammed the conservation of emotion - have they? How is this subsumed pain vented? Is it released in my art? I hope so, but I also suspect that it's emitted in my sleep.

The myth that the founding of American Republic was based on the philosophy of John Locke could only have been maintained, because the history of Leibniz's influence was suppressed.

You'll remember Newton was furious at Leibniz, because he developed calculus at the same time. And he went to his death believing that he had copied him. And no, it's because all the elements were there, so it's almost inevitable that the next discovery - as long as people are free and allowed to experiment and try new things.

Leibniz accepted the argument that there must be indestructible simple entities if there is to be a complex world, but Epicurean morals and politics and anti-theology dismayed him. His 'monadology' which said that the true atoms of nature were unextended 'living mirrors,' was an imaginative and beautiful system, and even in many ways more modern than Epicurean atomism, than Epicurean atomism, but there was a reactionary aspect to it.

Leibniz believed in freedom, both divine and human, and he thought that contingency was a necessary condition of freedom. That is, if an agent A acts freely when choosing X, then A's choosing X cannot be necessary. But there are some elements in his philosophy that seem to make contingency impossible.

Each man, therefore, is the entire world, bearing within his genes a memory of all mankind. Or as Leibniz put it: ‘Every living substance is a perpetual living mirror of the universe’

When one compares the talents one has with those of a Leibniz , one is tempted to throw away one's books and go die quietly in the dark of some forgotten corner.

The minds of different generations are as impenetrable one by the other as are the monads of Leibniz.

Leibniz endeavored to provide an account of inference and judgment involving the mechanical play of symbols and very little else. The checklists that result are the first of humanity's intellectual artifacts. They express, they explain, and so they ratify a power of the mind. And, of course, they are artifacts in the process of becoming algorithms.

Leibniz never married; he had considered it at the age of fifty; but the person he had in mind asked for time to reflect. This gave Leibniz time to reflect, too, and so he never married.

It is not always the most brilliant speculations nor the choice of the most exotic materials that is most profitable. I prefer Monsieur de Reaumur busy exterminating moths by means of an oily fleece; or increasing fowl production by making them hatch without the help of their mothers, than Monsieur Bemouilli absorbed in algebra, or Monsieur Leibniz calculating the various advantages and disadvantages of the possible worlds.

Leibniz is at the disadvantage of not having seen it.

Or perhaps we should count this as an advantage, for anyone who sees it is dumbfounded by the brilliance of the geometry, and it is difficult to criticize a man’s work when you are down on your knees shielding your eyes.

Like Leibniz's possible worlds, most men are only equally entitled pretenders to existence. There are few existences.

famous quotes