New illnesses flood the human race, so that no matter how many experiments you have done on corpses, you have not thereby immposd a limit on the nature of events so that in the future they could not vary.”, “...as far as we are capable of knowledge we sin in neglecting to acquire it...”, “The means of obtaining as much variety as possible, but with the greatest possible order...is the means of obtaining as much perfection as possible.”, “...it is the knowledge of necessary and eternal truths that distinguishes us from the mere animals and gives us Reason and the sciences, raising us to the knowledge of ourselves and of God...”, “Perceptions which are at present insensible may grow some day: nothing is useless, and eternity provides great scope for change.”, “For all bodies are in perpetual flux like rivers, and parts are passing in and out of them continually.”, “This interconnection or accommodation of all created things to each other, and each to all the others, brings it about that each simple substance has relations that express all the others, and consequently, that each simple substance is a perpetual, living mirror of the universe.”, “It is true that the more we see some connection in what happens to us, the more we are confirmed in the opinion we have about the reality of our appearances; and it is also true that the more we examine our appearances closely, the more we find them well-sequenced, as microscopes and other aids in making experiments have shown us.”, “And just as the same town, when looked at from different sides, appears quite different and is, as it were, multiplied in perspective, so also it happens that because of the infinite number of simple substances, it is as if there were as many different universes, which are however but different perspective representations of a single universe form the different point of view of each monad.”, “imaginary numbers are a fine and wonderful resource of the divine intellect, almost an amphibian between being and non-being.”, “Pourquoi y a-t-il quelque chose plutôt que rien ?”, “The mind is not only capable of knowing [innate ideas], but further of finding them in itself; and if it had only the simple capacity to receive knowledge…it would not be the source of necessary truths…”, “I have so many ideas that may perhaps be of some use in time if others more penetrating than I go deeply into them someday and join the beauty of their minds to the labour of mine.”, “The mind leans on [innate] principles every moment, but it does not come so easily to distinguish them and to represent them distinctly and separately, because that demands great attention to its acts, and the majority of people, little accustomed to think, has little of it.”, “…if geometry were as much opposed to our passions and present interests as is ethics, we should contest it and violate I but little less, notwithstanding all the demonstrations of Euclid and Archimedes…”, “For I hold that it is only when we can prove everything we assert that we understand perfectly the thing under consideration.”, “For the [innate] general principles enter into our thoughts, of which they form the soul and the connection. We should not count the years, it is our actions which constitute our life. And, since the law of continuity requires that when the essential attributes of one being approximate those of another all the properties of the one must likewise gradually approximate those of the other, it is necessary that all the orders of natural beings form but a single chain, in which the various classes, like so many rings, are so closely linked one to another that it is impossible for the senses or the imagination to determine precisely the point at which one ends and the next begins?all the species which, so to say, lie near the borderlands being equivocal, at endowed with characters which might equally well be assigned to either of the neighboring species.

"De veritatibus primis". And there is art also in this; for as the mediate truths (which are called. German Mathematician Quotes. From this it follows that a reason that always forces a free mind to choose one thing over another (whether that reason derives from the perfection of a thing, as it does in God, or from our imperfection) does not eliminate our freedom. The imaginary number is a fine and wonderful recourse of the divine spirit, almost an amphibian between being and not being. 21, in. Book by Gottfried Leibniz, 1686. From 'Machina Arithmetica in qua non Aditio tantum Subtractio', as translated by Mark Kormes in David Eugene Smith.

The knowledge we have aquired ought not to resemble a great shop without order, and without inventory; we ought to know what we possess, and be able to make it serve us in our need. Notable enough, however, are the controversies over the series 1 – 1 + 1 – 1 + 1 – … whose sum was given by Leibniz as 1/2, although others disagree. The greatness of a life can only be estimated by the multitude of its actions. In Gottfried von Leibniz and ‎Robert Latta (trans. The truths of reasoning are necessary and their opposite is impossible; the truths of fact are contingent and their opposites are possible. Now where there are no parts, there neither extension, nor shape, nor divisibility is possible. This habit was acquired by early occupation with legal and mathematical questions. Every day we present the best quotes!

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