This site is dedicated to the memory of Dr. Alan William Smolowe who gave birth to the creation of this database.
German Mathematician, Philosopher, Political Advisor and Logician, Developed Infinitesimal Calculus independently of Isaac Newton
"For at bottom, all our experiences assure us of two things only, namely that there is a connection in our appearances which gives us a means of successfully predicting future appearances; and secondly that this connection must have a constant cause. But from all this it does not strictly follow that there is matter or that there are bodies, but only that there is something which presents us with appearances which follow properly on one another."
"For if comparative perfection were sufficient, then in whatever way God had accomplished his work, since there is an infinitude of possible imperfections, it would always have been good in comparison with the less perfect; but a thing is little praiseworthy when it can be praised only in this way."
"For everything must be explained by its cause; and the cause of the universe is the ends of God. Now each individual substance, according to my view, expresses the whole universe from a certain point of view."
"For it is incontestable that the senses are not sufficient to make us see their necessity, and so the mind has the dispositions (as much active as passive) to draw them itself out of its own depths; though the senses are necessary to give to it the occasion and the attention required for this, and to lead it rather to the one sort than to the other."
"For since it is impossible for a created monad to have a physical influence on the inner nature of another, this is the only way in which one can be dependent on another."
"For reason alone is capable of setting up rules which are certain, and of supplying what is lacking to those which are not certain, by inserting the exceptions, and in short of finding connections which are certain in the force of necessary consequences. This often provides the means of foreseeing the event, without its being necessary to experience the sensible connections between images which is all that the brutes can do; so that to vindicate the existence within us of the principles of necessary truths is also to distinguish man from the brutes."
"For since in the series a reason cannot be found, as I have shown above, but must be sought in metaphysical necessities or eternal truths; since, too, existent things cannot come into being except from existent things, as I have explained previously; it follows that eternal truths must have their existence in some subject which is absolutely or metaphysically necessary, that is in God, through whom these truths, which would otherwise be imaginary, are (to use a barbarous but expressive word ) realized."
"For we experience in ourselves a condition in which we remember nothing and have no distinguishable perception; as when we fall into a swoon or when we are overcome with a profound dreamless sleep. In this state the soul does not perceptibly differ from a bare Monad; but as this state is not lasting, and the soul comes out of it, the soul is something more than a bare Monad."
"For the dominant Unity of the universe not only rules the world, but also constructs or makes it; and it is higher than the world and, if I may so put it, extramundane; it is thus the ultimate reason of things."
"For the simplicity of substance does not preclude the possibility of a multiplicity of modifications, which indeed necessarily exist together in the same simple substance, and these modifications must consist in the variety of the relations of the simple substance to things that are outside. Just as in a center or a point, in itself perfectly simple, are found an infinite number of angles formed by the lines which meet there."
"God alone is the primary Unity, or original simple substance, from which all monads, created and derived, are produced."
"For we must always presume that God is prompted towards the good we know, until the event shows us that he had stronger reasons, although perhaps unknown to us, which have made him subordinate this good that we sought to some other greater good of his own designing, which he has not failed or will not fail to effect."
"God is also a workman able enough to produce a machine still a thousand times more ingenious than is our body, by employing only certain quite simple liquids purposely composed in such a way that ordinary laws of nature alone are required to develop them so as to produce such a marvellous effect."
"Happiness consists in the most harmonious state of mind. The nature of the mind is to think; therefore, the harmony of the mind consists in thinking about harmony; and the greatest harmony of the mind or happiness consists in the concentration of the universal harmony, i.e., of God, in the mind."
"God's vision is always true, our perceptions are always true and that which deceives us are our judgments, which are of us."
"He who understands Archimedes and Apollonius will admire less the achievements of the foremost men of later times."
"However, I do not consider the hardness or consistency of bodies as a primary quality, but as a consequence of motion."
"I agree with you that it is important to examine our presuppositions, thoroughly and once for all, in order to establish something solid. For I hold that it is only when we can prove all that we bring forward that we perfectly understand the thing under consideration. I know that the common herd takes little pleasure in these researches, but I know also that the common herd take little pains thoroughly to understand things."
"I also take it as granted that every created thing, and consequently the created monad also, is subject to change, and indeed that this change is continual in each one."
"I always liked books which, while containing some fine thoughts, could be read straight through without stopping, for they gave rise in me to ideas which I followed at fancy, and pursued as the spirit moved me."
"I am far removed from the opinion of those who maintain that there are no principles of goodness or perfection in the nature of things, or in the ideas which God has about them, and who say that the works of God are good only through the formal reason that God has made them."
"I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that Nature makes frequent use of it everywhere, in order to show more effectively the perfections of its Author."
"I am convinced that the unwritten knowledge scattered among men of different callings surpasses in quantity and in importance anything we find in books, and that the greater part of our wealth has yet to be recorded."
"I claim that the existence of God cannot be demonstrated without this principle: nothing exists without a reason. This principle holds not only in mechanics, where it concerns whether from a given magnitude, figure and motion, another magnitude, figure and motions, follows, but also in matters that of necessity are not mechanical, which I show as follows."
"I do not believe that a world without evil, preferable in order to ours, is possible; otherwise it would have been preferred. It is necessary to believe that the mixture of evil has produced the greatest possible good: otherwise the evil would not have been permitted."
"I have learnt from experience that this method in general a good one, but I have also learnt none the less that an exception must be made in the case of some authors, such as Plato and Aristotle among the ancient philosophers, and Galileo and M. Descartes among those of our day."
"I have said more than once, that I hold space to be something purely relative, as time; an order of coexistences, as time is an order of successions."
"I have learnt from experience that nothing defeats courage and removes the taste for beautiful things more than the importunate reflections we make on human misery, and on the vanity of our undertakings. It is the sole stumbling block of noble minds, on which it is all the easier to fail the more exalted one's genius. For ordinary minds do not pause over this great consideration about the future which in some sort includes the whole universe: but in compensation they are happier, for they taste apparent goods, without its occurring to them to destroy the pleasure by too exact a reflection. And since a happy folly is better than a bitter prudence, I think we should do well to turn deaf ears to reason and give ourselves up to custom, or else to reason for our diversion only, if there be no means of reconciling wisdom with contentment. But, God be praised, we are not so unfortunate, and Nature would be a stepmother, if that which makes our perfection were the cause of our wretchedness."
"I have hope that society may be reformed, when I see how much education may be reformed."
"I do not conceive of any reality at all as without genuine unity."
"I hold that the mark of a genuine idea is that its possibility can be proved, either a priori by conceiving its cause or reason, or a posteriori when experience teaches us that it is in fact in nature... It is a good thing to proceed in order and to establish propositions. This is the way to gain ground and to progress with certainty."
"I have several proofs for refuting the conception of those who take space to be a substance, or at least as absolute being of some kind. But here I only wish to make use of the one which the present occasion requires. I say then that if space were an absolute being, there would happen something for which it would be impossible that there should be a sufficient reason, and this is contrary to our axiom. (p199 L)"
"I have seen something of the project of M. de St. Pierre, for maintaining a perpetual peace in Europe. I am reminded of a device in a cemetery, with the words: Pax perpetua; for the dead do not fight any longer: but the living are of another humor; and the most powerful do not respect tribunals at all."
"I reply first that all things are created ex nihilo, not from preexisting matter at any moment whatever, for even matter itself is created; and it is of no consequence that some other things might have existed already in the past for in that case they would have been annihilated later."
"I was happy to be among men, but not happy about human nature. Often I thought with sorrow of the evils to which we are subjected, of the short duration of our life, the vanity of glory, the inconveniences which spring from pleasure, the illnesses which crush our very spirit; finally the annihilation of all our glories and all our perfections in the moment of death, which seems to reduce to nothing the fruits of our labors. These meditations made me melancholy. I had a natural love of doing good and knowing the truth. Yet it looked as though I were taking pains to no purpose, and as though a fortunate crime were better than an oppressed virtue, and the folly which satisfies preferable to the reason which gives pain. But I resisted these objections, and the better part triumphed in my mind through the consideration of the Divinity, who kept up my hopes by the expectation of a future capable of making up for everything."
"Ideas whose origin is not in sensation arise from reflection. Now reflection is nothing but an attention to what is in us, and the senses do not give us what we already bring with us. This being so, can we deny that there is a great deal that is innate in our mind."
"I maintain also that substances, whether material or immaterial, cannot be conceived in their bare essence without any activity, activity being of the essence of substance in general."
"I shall always be very happy to receive, provided the love of truth appears therein, and not merely a passion for preconceived opinions. Although I am one of those who have done much work on mathematics, I have constantly meditated on philosophy from my youth up, for it has always seemed to me that in philosophy there was a way of establishing something solid by means of clear proofs."
"If space and time were something absolute, that is to say if they were something other than certain orders of things, what I am saying would be a contradiction. But since this is not the case, the hypothesis is contradictory, that is to say it is an impossible fiction."
"If space is an absolute reality, far from being a property or accident opposed to substance, it will have more subsistence than substance; God will be unable to destroy it, or even to change it in any respect. It will be not only immense in the whole, but also immutable and eternal in each of its parts. There will be an infinity of eternal things besides God."
"Imaginary numbers are a fine and wonderful refuge of the divine spirit almost an amphibian between being and non-being."
"If there were no best among all possible worlds, God would not have created one."
"Imagine two clocks or watches which are in perfect agreement. Now this agreement may come about in three ways. The first consists of a natural influence. This is what M. Huygens tried with a result that surprised him. He suspended two pendulums from the same piece of wood; the continual strokes of the pendulums communicated similar vibrations to the particles of the wood; but since these different vibrations could not well persist independently and without interfering with one another, unless the pendulums were in agreement, it happened by some sort of miracle that even when their strokes had been purposely disturbed, they soon went back to swinging together, rather like two strings* which are in unison."
"In a word, the only knowledge which can make us perfect is the knowledge of reasons in themselves or of eternal and necessary truths, especially those truths which are most comprehensive and which bear most relation to the Sovereign Being."
"In a confused way they all go towards the infinite, or towards the whole; but they are limited and distinguished from one another by the degrees of their distinct perceptions."
"In conclusion, nothing should be taken as certain without foundations; it is therefore those who manufacture entities and substances without genuine unity to prove that there is more to reality than I have just said; and I am waiting for the notion of a substance, or of an entity, which successfully comprehends all these things; after which parts and perhaps even dreams will be able one day to lay claim to reality."
"In fact the wiser the man is, the less does he have detached acts of will, and the more do his views and his acts of will become comprehensive and connected."
"In order to have the idea of place, and consequently of space, it is enough to consider these relations and the rules of their changes, without needing to picture any absolute reality beyond the things whose situation is being considered."
"In symbols one observes an advantage in discovery which is greatest when they express the exact nature of a thing briefly and, as it were, picture it; then indeed the labor of thought is wonderfully diminished."
"In natural perception and in sensation it is sufficient that what is divisible and material, and is to be found dispersed in a number of entities, should be expressed or represented in a single indivisible entity, or in a substance possessing a genuine unity."