Great Throughts Treasury

This site is dedicated to the memory of Dr. Alan William Smolowe who gave birth to the creation of this database.

Nicholas of Cusa, also Nicholas of Kues and Nicolaus Cusanus NULL

German Cardinal of the Catholic Church, Philosopher, Theologian, Jurist, Mathematician and Astronomer

"In God, absolute unity is absolute multiplicity, absolute identity is absolute diversity; absolute actuality is absolute potentiality."

"It is you, O God, who is being sought in various religions in various ways, and named with various names. For you remain as you are, to all incomprehensible and inexpressible. When you will graciously grant it, then sword, jealous hatred and evil will cease and all will come to know that there is but one religion in the variety of religious rites."

"If we achieve this, we shall have attained to a state of informed ignorance. For even he who is most greedy for knowledge can achieve no greater perfection than to be thoroughly aware of his own ignorance in his particular field. The more be known, the more aware he will be of his ignorance. It is for that reason that I have taken the trouble to write a little about informed ignorance. … Thus wise men have been right in taking examples of things which can be investigated with the mind from the field of mathematics, and not one of the Ancients who is considered of real importance approached a difficult problem except by way of the mathematical analogy. That is why Boethius, the greatest scholar among the Romans, said that for a man entirely unversed in mathematics, knowledge of the Divine was unattainable."

"The finite mind can therefore not attain to the full truth about things through similarity. For the truth is neither more nor less, but rather indivisible. What is itself not true can no more measure the truth than what is not a circle can measure a circle; whose being is indivisible. Hence reason, which is not the truth, can never grasp the truth so exactly that it could not be grasped infinitely more accurately. Reason stands in the same relation to truth as the polygon to the circle; the more vertices a polygon has, the more it resembles a circle, yet even when the number of vertices grows infinite, the polygon never becomes equal to a circle, unless it becomes a circle in its true nature. The real nature of what exists, which constitutes its truth, is therefore never entirely attainable. It has been sought by all the philosophers, but never really found. The further we penetrate into informed ignorance, the closer we come to the truth itself. "

"The real nature of what exists, which constitutes its truth, is therefore never entirely attainable. It has been sought by all the philosophers, but never really found. The further we penetrate into informed ignorance, the closer we come to the truth itself."

"Since reason cannot leap over contradictories, there is, in accord with reason’s movement, no name to which another is not opposed."

"God is the absolute maximumness and absolute unity, preceding and uniting things that are absolutely different and distant, for example, contradictories, between which there is no mean."

"That the universe is triune; and that there is nothing that is not a unity of potentiality, actuality and connecting motion; that no one of these can subsist absolutely without the other; and that all these are in all [things] in different degrees, so different that in the universe no two [things]... can be completely equal to each other in everything. Accordingly, if we consider the diverse motions of the [celestial] orbs, [we find that] it is impossible for the machine of the world to have any fixed and motionless center; be it this sensible earth, or the air, or fire or anything else. For there can be found no absolute minimum in motion, that is, no fixed center, because the minimum must necessarily coincide with the maximum]"

"But we cannot discover motion unless it be by comparison with something fixed, that is [by referring it to] the poles or the centers and assuming them in our measurements of the motions [as being at rest]; it follows therefrom that we are always using conjectures, and err in the results [of our measurements]. And [if] we are surprised when we do not find the stars in the places where they should be according to the ancients, [it is] because we believe [wrongly] that they were right in their conceptions concerning the centers and poles as well as in their measurements."

"The shape of the earth is noble and spherical, and its motion is circular, though it could be more perfect. And since in the world there is no maximum in perfections, motions and figures (as is evident from what has already been said) it is not true that this earth is the vilest and lowest [of the bodies of the world], for though it seems to be more central in relation to the world, it is also, for the same reason, nearer to the pole. Neither is this earth a proportional, or aliquot part of the world, for as the world has neither maximum, nor minimum, neither has it a moiety, nor aliquot parts, any more than a man or an animal [has them]; for the hand is not an aliquot part of the man, though its weight seems to have a proportion to the body, just as it does to the dimension and the figure. Nor is the dark colour [of the earth] an argument for its baseness, because to an observer on the sun, it [the sun] would not appear as brilliant as it does to us; indeed, the body of the sun must have a certain more central part, a quasi earth, and a certain circumferential quasi-fiery lucidity, and in the middle a quasi-watery cloud and clear air, just as this earth has its elements. Thus someone outside the region of fire would see [the earth as] a brilliant star, just as to us, who are outside the region of the sun, the sun appears very luminous."

"It is obvious that the earth moves. And because from the motion of the comets, of the air and of fire, we know by experience that the elements move, and [that] the moon [moves] less from the Orient to the Occident than Mercury or Venus, or the sun, and so on, it follows that the earth."

"The earth is a noble star, which has a light and a heat and an influence of its own, different from those of all other."

"It cannot be said that this place of the world [is less perfect because it is] the dwelling-place of men, and animals, and vegetables that are less perfect than the inhabitants of the region of the sun and of the other stars. For although God is the center and the circumference of all the stellar regions, and although in every region inhabitants of diverse nobility of nature proceed from Him, in order that such vast regions of the skies and of the stars should not remain void, and that not only this earth be inhabited by lesser beings, still it does not seem that, according to the order of nature, there could be a more noble or more perfect nature than the intellectual nature which dwells here on this earth as in its region, even if there are in the other stars inhabitants belonging to another genus: man indeed does not desire another nature, but only the perfection of his own."

"He who has You, 0 Lord, knows and has all things. He who sees You has all things, for no one sees You except him who has You. "

"For You who are the Absolute Being of all things are present to each thing as if You were concerned about no other thing at all. "

"A human is above all the creatures of God, and only a bit lower than the angels."

"A given circle cannot be so true that a truer one cannot be found; and the movement of a sphere at one moment is never precisely equal to its movement at another, nor does it ever describe two circles similar and equal, even if from appearances the opposite may seem true."

"All those who make an investigation judge the uncertain proportionally, by means of a comparison with what is taken to be certain. Therefore, every inquiry is comparative and uses the means of comparative relation. ... Hence, the infinite, qua infinite, is unknown; for it escapes all comparative relation."

"Consequently, if you want to have a better understanding of the motion of the universe, you must put together the center and the poles, with the aid of your imagination as far as you can; for if somebody were on the earth, under the arctic pole, and somebody else on the arctic pole, then just as to the man on the earth the pole will appear to be in the zenith, to the man on the pole it is the center that would appear to be in the zenith. And as the antipodes have, like ourselves, the sky above them, so to those who are in the poles (in both), the earth will appear to be in the zenith, and wherever the observer be he will believe himself to be in the center. Combine thus these diverse imaginations, making the center into the zenith and vice versa, and then, with the intellect, which alone can practise learned ignorance, you will see that the world and its motion cannot be represented by a figure, because it will appear almost as a wheel within a wheel, and a sphere within a sphere, having nowhere, as we have seen, either a center or a circumference."

"Even if it might seem otherwise to us, neither the sun nor the earth nor any sphere can describe a perfect circle by its motion...nor is a sphere?s or a star?s motion at one moment ever precisely equal to their motion at another."

"For all the [body?s] members seek nothing except inseparable union with the intellect, as with their beginning, ultimate good, and everlasting life."

"All visible things would not claim as their king some color of their region, which is actually among the visible things of this region, but rather would say, he is the highest possible beauty of the most lucid and perfect color."

"Furthermore the very center of the world is no more inside the earth than outside it; for neither this earth, nor any other sphere, has a center; indeed, the center is a point equidistant from the circumference; but it is not possible that there be a true sphere or circumference such that a truer, and more precise one, could not be possible; a precise equidistance of divers [objects] cannot be found outside of God, for He alone is the infinite equality. Thus it is the blessed God who is the center of the world; He is the center of the earth and of all the spheres, and of all [the things] that are in the world, as He is at the same time the infinite circumference of all. Furthermore, there are in the sky no immovable, fixed poles, though the sky of the fixed stars appears by its motion to describe circles graduated in magnitude, lesser than the colures or than the equinoctials and also circles of an intermediate [magnitude]; yet, as a matter of fact, all the parts of the sky must move, though unequally in comparison with the circles described by the motion of the fixed stars. Thus, as certain stars appear to describe the maximal circle, so certain [others], the minimal, but there is no star that does not describe any. Therefore, as there is no fixed pole in the sphere, it is obvious that neither can there be found an exact mean, that is, a point equidistant from the poles. There is therefore no star in the eighth sphere which by [its] revolution would describe a maximal circle, because it would have to be equidistant from the poles which do not exist, and accordingly [the star] that would describe the minimal circle does not exist either. Thus the poles of the spheres coincide with the center and there is no other center than the pole, that is, the blessed God Himself."

"According to the movement of reason, plurality or multitude is opposed to unity. Hence, it is not a unity of this sort which properly applies to God, but the unity to which neither otherness nor plurality nor multiplicity is opposed. This unity is the maximum name enfolding all things in its simplicity of unity, and this is the name which is ineffable and above all understanding."

"For when we say that what is different is different, we affirm that what is different is the same as itself. For what is different can be different only through the Absolute Same, through which all that is is both the same as itself and other than another."

"God is not something... God is beyond nothing and beyond something... God cannot be called this rather than that."

"If full knowledge about the very base of our existence could be described as a circle, the best we can do is to arrive at a polygon."

"In God we must not conceive of distinction and indistinction, for example, as two contradictories, but we must conceive of them as antecedently existing in their own most simple beginning, where distinction is not other than indistinction."

"It is possible that those who will read things previously unheard of, and now established by Learned Ignorance, will be astonished."

"It is impossible for the world machine to have this sensible earth, air, fire, or anything else for a fixed and immovable center. For in motion there is no simply minimum, such as a fixed center.... And although the world is not Infinite, it cannot be conceived of as finite, since it lacks boundaries within which it is enclosed... Therefore, just as the earth is not the center of the world, so the sphere of fixed stars is not its circumference."

"It is self-evident that there is no comparative relation of the infinite to the finite. ... Therefore, it is not the case that by means of likeness a finite intellect can precisely attain the truth about things. ... For truth is not something more or something less but is something indivisible. Whatever is not truth cannot measure truth precisely. ... For the intellect is to truth as an inscribed polygon is to the inscribing circle."

"It has been asserted that there is a separate species on the earth to correspond with each one of the stars. Now if the earth provides in each species a focus for the action of each star, why may not a similar provision be made among other heavenly bodies that are subject to the action of their fellows?"

"It must not be said either that, because the earth is smaller than the sun, and receives an influence from it, it is also more vile; for the whole region of the earth, which extends to the circumference of the fire, is large. And though the earth is smaller than the sun, as is known to us from its shadow and the eclipses, still we do not know whether the region of the sun is greater or smaller than the region of the earth; however, they cannot be precisely equal, as no star can be equal to another. Nor is the earth the smallest star, for it is larger than the moon, as we are taught by the experience of the eclipses, and even, as some people say, larger than Mercury, and possibly than some other stars. Thus the argument from the dimension to the vileness is not conclusive."

"The earth, which cannot be the center, cannot lack all motion. In fact, it is even necessary that it be moved in such a way that it could be moved infinitely less."

"It must be added that this earth is not spherical, as some have said, though it tends towards sphericity; indeed, the shape of the world is contrasted in its parts, as well as its motion; but when the infinite line is considered as contracted in such a way that, as contracted, it could not be more perfect or more spacious, then it is circular, and the corresponding corporeal figure [is the] spherical one. For all motion of the parts is towards the perfection of the whole; thus heavy bodies [move] towards the earth, and light ones [move] upward, earth towards earth, water towards water, fire towards fire; accordingly, the motion of the whole tends as far as it can towards the circular, and all shapes towards the spherical one, as we see in the parts of animals, in trees, and in the sky. But one motion is more circular and more perfect than another, and it is the same with shapes."

"Oftentimes our appetite is satisfied quite pleasantly by dishes that are less varied but savory. Accordingly, although you, Nicholas, have already generously served up teachings that show the way to undepletable nourishment of the soul, do not for that reason be annoyed, I ask, if I importunately request nourishment that is even more delicious."

"Nor is the darkness of colour a proof of the earth?s baseness; for the brightness of the sun, which is visible to us, would not be perceived by anyone who might be in the sun."

"Number, in consequence, includes all things that are capable of comparison. It is not then in quantity only that number produces proportion; it produces it in all things that are capable of agreement and differences in any way at all, whether substantially or accidentally."

"Otherness cannot be a form. For to alter is to deform rather than to form. Therefore, that which is seen in different things can also be seen in and of itself without otherness, since otherness did not give being to it."

"The ancients did not arrive at the things that we have brought forth, because they were deficient in learned ignorance. But for us it is clear that this earth really moves, though it does not appear to us to do so, because we do not apprehend motion except by a certain comparison with something fixed. Thus if a man in a boat, in the middle of a stream, did not know that the water was flowing and did not see the bank, how would he apprehend that the boat was moving?18 Accordingly, as it will always seem to the observer, whether he be on the earth, or on the sun or on another star, that he is in the quasi-motionless center and that all the other [things] are in motion, he will certainly determine the poles [of this motion] in relation to himself; and these poles will be different for the observer on the sun and for the one on the earth, and still different for those on the moon and Mars, and so on for the rest. Thus, the fabric of the world (machina mundi) will quasi have its center everywhere and its circumference nowhere, because the circumference and the center are God; Who is everywhere and nowhere."

"Paul indeed wanted to reveal the unknown God to the philosophers and then affirms of Him, that no human intellect can conceive Him. Therefore, God is revealed therein, that one knows that every intellect is too small to make itself a figuration or concept of Him. However, he names him God, or in Greek, theos."

"Since it always appears to every observer, whether on the earth, the sun, or another star, that one is, as if, at an immovable center of things and that all else is being moved, one will always select different poles in relation to oneself, whether one is on the sun, the earth, the moon, Mars, and so forth. Therefore, the world machine will have, one might say, its center everywhere and its circumference nowhere, for its circumference and center is God, who is everywhere and nowhere."

"Since beings desire to exist, because to exist is a good thing: they desire the One without which they cannot exist."

"The fact is that man has no longing for any other nature but desires only to be perfect in his own."

"The great Dionysius says that our understanding of God draws near to nothing rather than to something. But sacred ignorance teaches me that that which seems to the intellect to be nothing is the incomprehensible Maximum."

"The intellect alone has an eye for viewing an essence, which it cannot see except in the true Cause, which is the Fount of all desire. Moreover, since all things seek to exist, then in all things there is desire from the Fount-of-desire, wherein being and desire coincide in the Same."

"The posse {i.e. potential} of the mind to see, therefore, surpasses the posse to comprehend."

"Though the world is not infinite, yet it cannot be conceived as finite, since it has no limits between which it is confined. The earth, therefore, which cannot be the center cannot be lacking in all motion; but it is necessary that it move in such a way that it could be moved infinitely less. Just as the earth is not the center of the world, so the sphere of the fixed stars is not its circumference, though if we compare the earth to the sky, the earth appears to be nearer to the center, and the sky to the circumference. The earth therefore is not the center, neither of the eighth nor of [any] other sphere, nor does the rising of the six signs [of the Zodiac] above the horizon imply that the earth is in the center of the eighth sphere. For even if it were somewhat distant from the center and outside the axis, which traverses the poles, so that in one part it would be elevated towards one pole, and in the other [part] depressed towards the other, nevertheless it is clear that, being at such a great distance from the poles and the horizon being just as vast, men would see only half of the sphere [and therefore believe themselves to be in its center]."

"The machine of the world will have its centre everywhere, so to speak, and its circumference nowhere, because its circumference and its centre are God, who is everywhere and nowhere."

"The rational is apprehended through the intellect, however, the intellect is not found in the region of the rational; the intellect is as the eye and the rational as the colors."