Leibniz Quotes
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.
Nicholas Murray Butler
Having discovered the true principle, I then derived all the laws that govern the motion of light, those concerning its direct propagation, its reflection and its refraction. I reserve for particular members of our Assembly the geometrical demonstration of my theory.
I know the distaste that many mathematicians have for final causes applied to physics, a distaste that I share up to some point. I admit, it is risky to introduce such elements; their use is dangerous, as shown by the errors made by Fermat and Leibniz in following them. Nevertheless, it is perhaps not the principle that is dangerous, but rather the hastiness in taking as a basic principle that which is merely a consequence of a basic principle.
Pierre Louis Maupertuis
Leibniz ... envisioned real possibility in terms rooted in axiological considerations of evaluative optimality. To be sure, it is clear that one cannot just optimize. ... One has to optimize something, some feature or aspect of things. And if this factor is to be something that is qualified, be accepted as self-validating and self-sustaining, then the clearly most promising candidate would seem to be intelligence itself. ... The value at issue here with "being for the best" is a matter of being so as intelligent creatures see it-that is from the vantage point of intelligence itself. Assuredly, no intelligent being would prefer an alternative that is inferior in this regard. And so, for an intelligent being-a rational creature-intelligence itself must figure high on the scale of values.
Nicholas Rescher
Since its Parmenidean organization, ontology has built the portico of its ruined temple out of the following experience: what presents itself is essentially multiple; what presents itself is essentially one. The reciprocity of the one and being is certainly the inaugural axiom of philosophy - Leibniz formulation is excellent; 'What is not a being is not a being' - yet it is also its impasse; an impasse in which the revolving doors of Plato's Parmenides introduce us to the singular joy of never seeing the moment of conclusion arrive. For if being is one, then one must posit that what is not one, the multiple, is not . But this is unacceptable for thought because what is presented is multiple and one cannot see how there could be an access to being outside all presentation. If presentation is not, does it still make sense to designate what presents (itself) as being? On the other hand, if presentation is, then the multiple necessarily is.
Alain Badiou
[We] will discuss Soul and Body, the doctrine of God, and Ethics. ...We shall find that Leibniz no longer shows great originality, but tends, with slight alterations of phraseology, to adopt (without acknowledgment) the views of the decried Spinoza. We shall find also many more minor inconsistencies than in the earlier part of [Leibniz's] system, these being due chiefly to the desire to avoid the impieties of the Jewish Atheist, and the still greater impieties to which Leibniz's own logic should have led him.
Baruch Spinoza
In the strident world of seventeenth-century philosophy, the mind-body problem was not a word puzzle that could be safely relegated to undergraduate classes. For men such as Descartes, Malebranche, and Leibniz, solving the mind-body problem was vital to preserving the theological and political order inherited from the Middle Ages and, more generally, to protecting human self-esteem in the face of an increasingly truculent universe. For Spinoza, it was a means of destroying that same order and discovering a new foundation for human worth.
Baruch Spinoza
This art is music. It stands quite apart from all the others. In it we do not recognize the copy, the repetition, of any Idea of the inner nature of the world. Yet it is such a great and exceedingly fine art, its effect on man's innermost nature is so powerful, and it is so completely and profoundly understood by him in his innermost being as an entirely universal language, whose distinctness surpasses even that of the world of perception itself, that in it we certainly have to look for more than that exercitium arithmeticae occultum nescientis se numerare animi [exercise in arithmetic in which the mind does not know it is counting] which Leibniz took it to be.
Arthur Schopenhauer
Neophil: ...Leibniz, Wolff, and their various successors, to what a level of perfection and completeness they have brought philosophy! How proud Germany can be of them! Yet what does it help to claim more for oneself than is right? Let us always acknowledge that someone other than a German, I add further, someone other than a Christian, namely, Spinoza, has participated immensely in the work of bettering philosophy. Before the transition from the Cartesian to the Leibnizian philosophy could occur, it was necessary for someone to take the plunge into the monstrous abyss lying between them. This unhappy lot fell to Spinoza. How his fate is to be pitied! He was a sacrifice for the human intellect, but one that deserves to be decorated with flowers. Without him, philosophy would never have been able to extend its borders so far.
Baruch Spinoza
The idea that reason requires an impartial treatment of individuals corresponds to well-known principles. To resolve the questions of distributive justice, Leibniz proposes the following maxim: "Put your self in the place of everyone.” In recent theories, this amounts to saying that the choice of a just organization of society must take place behind a "veil of ignorance,” an idea that can be interpreted in several ways. For utilitarianism, each individual must count as one, and none as more than one. For John Rawls, we have to choose the form of society that favors the least advantaged, whoever they might be. Another impartial idea is that of universal rights, embodied in the two declarations of 1776 and 1789.
Jon Elster
Isaac Newton deserves to be included in a series of companions to major philosophers even though he was not a philosopher in the sense in which Descartes, Locke, and Kant were philosophers. That is, Newton made no direct contributions to epistemology or metaphysics that would warrant his inclusion in the standard list of major philosophers of the seventeenth and eighteenth centuries – Descartes, Spinoza, Locke, Leibniz, Berkeley, Hume, and Kant – or even in a list of other significant philosophers of the era – Bacon, Hobbes, Arnauld, Malebranche, Wolff, and Reid. The contributions to knowledge that made Newton a dominant figure of the last millennium were to science, not to philosophy.
I. Bernard Cohen
Who are the inventors of Tlön? The plural is inevitable, because the hypothesis of a lone inventor - an infinite Leibniz laboring away darkly and modestly - has been unanimously discounted. It is conjectured that this brave new world is the work of a secret society of astronomers, biologists, engineers, metaphysicians, poets, chemists, algebraists, moralists, painters, geometers... directed by an obscure man of genius. Individuals mastering these diverse disciplines are abundant, but not so those capable of inventiveness and less so those capable of subordinating that inventiveness to a rigorous and systematic plan.
Jorge Luis Borges
In 1904, he entered Madras Christian College was trained in European philosophy was introduced to the philosophies of Berkeley, Leibniz, Locke, Spinoza, Kant, J.S. Mill, Herbert Spencer, Fichte, Hegel, Aristotle, and Plato among others. He was also introduced to the philosophical methods and theological views of his MA supervisor and most influential non-Indian mentor, Professor A.G. Hogg.
Sarvepalli Radhakrishnan
[When Leibniz and Spinoza met in The Hague in 1676] The encounter between the two greatest philosophers of the seventeenth century in fact extended over several days. From a letter Leibniz posted to the Duke of Hanover's secretary from Holland, it is possible to infer that the courtier arrived in The Hague on or before November 18 and remained for at least three days and possibly as much as one week. Leibniz later told his Parisian friend Gallois that he had conversed with Spinoza "many times and at great length".
Baruch Spinoza
![...The Festschrift [1932] dedicated to Spinoza may be said to be a praiseworthy international achievement. Its initiators were Germans and it appeared as a Sonderausgabe of a German newspaper. Spinoza had nothing in common with the German nation. The Germans, however, were the first to manifest serious interest in him. Their first great philosopher Leibniz went to seek his advice and his counsel; they were the only ones to invite him to lecture at their university. Even though Leibniz concealed him from the world, the Germans revealed him to the world. The generation of their greatest philosophers and poets from the second half of the 18th and the first half of the 19th centuries grew up under his influence. Goethe read him together with Charlotte von Stein, and even read him together with her in Latin. To Hegel, Spinoza was "der Mittelpunkt der modernen Philosophie". (Baruch Spinoza)](https://cdn.quotesdtb.com/img/quotes_images_webp/94/baruch-spinoza-achievement-advice-1015194.webp)
Kepler's achievements in mathematics would alone have been sufficient to win for him enduring fame; he first enunciated clearly the principle of continuity in mathematics, treating the parabola as at once the limiting case of the ellipse and the hyperbola, and showing that parallel lines can be regarded as meeting at infinity; he introduced the word 'focus' into geometry; while in his Stereometria Dolorum, published 1615, he applied the conception to the solution of certain volumes and areas by the use of infinitesimals, thus preparing the way for Desargues, Cavalieri, Barrow, and the developed calculus of Newton and Leibniz.
Johannes Kepler
Descartes's so-called dualism is often taken to represent a fundamental revolution in ideas and the starting point of modern philosophy. ...but in substance his work is... better understood as an attempt to conserve the old truths in the face of new threats. His dualism was in essence an armistice... between the established religion and the emerging science of his time. ...isolating the mind from the physical world... ensured that many of the central doctrines of orthodoxy-immortality of the soul, the freedom of will, and, in general, the "special" status of humankind-were rendered immune to any possible contravention by the scientific investigation of the physical world. ...
For men such as Descartes, Malebranche, and Leibniz, solving the mind-body problem was vital to preserving the theological and political order inherited from the Middle Ages... For Spinoza, it was a means of destroying that same order and discovering a new foundation for human worth.
René Descartes
