"But we may fairly say that they alone are engaged in the true duties of life who shall wish to have Zeno, Pythagoras, Democritus, and all the other high priests of liberal studies, and Aristotle and Theophrastus, as their most intimate friends every day. No one of these will be "not at home," no one of these will fail to have his visitor leave more happy and more devoted to himself than when he came, no one of these will allow anyone to leave him with empty hands; all mortals can meet with them by night or by day."
Italian Dominican friar, philosopher and mathematician (1548–1600)
Giordano Bruno (1548 – 17 February 1600) was an Italian universalist pantheist monist philosopher, mathematician, astronomer and poet, who, following an Inquisition for heresy and the denial of several Catholic doctrines, was burned at the stake in Rome, 1600; born Filippo Bruno, in Nola, Italy, he often called himself Il Nolano (The Nolan).
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Elpino. We shall say that this finite world [20] with the finite stars embraceth the perfection of all things.
Theophilo. You may say so, but you cannot prove it. For the world [20] of this our finite space embraceth indeed the perfection of all those finite objects contained within our space, but not of those infinite potentialities of innumerable other spaces
Philotheo: All of this is true, and contradicts nothing we've said, rather to the contrary we've said that there are dissimilar finite parts in one infinity, and have offered considerations how this might be true. Perhaps it might be expressed proportionately, how one might have many continuous parts which form a unity, using the example and simile of liquid mud, which, though water is contiguous with water in every part, and earth with earth, smaller than we can apprehend sensibly, these are called neither discrete nor continuous, not water nor earth, but only a continuum of mud; another might like to say that since the atoms of water are not actually continuous with one another, nor earth with earth, but perhaps water with earth and earth with water; a third might disagree with both and say only mud is continuous with mud. Following these reasons it can be stated that the infinite universe is a continuum, in which discreteness is not created by the interposition of ether between the great celestial bodies, than it would be were air to be mixed and interposed among the dry and watery particles, the difference being only in the consistency of the smallest parts of the mud, beneath the level of our sensible apprehension, or in the size, greatness, and sensibility of the parts that make up our universe: and so, contrary and diverse moving parts cooperate and compose a single immobile continuum, where contraries converge to make up a single whole, achieve single order, and become one. Certainly, it would be inconvenient and impossible to imagine two infinities distinct from one another, since it would be impossible to imagine the dividing line between them, where one infinity would end and the other begin, or in what way each would terminate against the other. Moreover, it is extremely difficult to imagine two bodies which are finite and bounded on one side and infinite on the other.
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Filoteo: Because the First Principle is the most fundamental, it follows that if one attribute were finite, then all attributes would likewise be finite; or else, if by one intrinsic rationale He is finite, and by another infinite, then necessarily we must consider him as composite. If therefore, he is the operator of the universe, then He is surely an infinite operator; in the sense that all is dependent on Him. Furthermore, since our imagination is able to move toward infinity, imagining always greater size and yet still greater, and number beyond number, following a certain succession, and as they say, power, so too we must also understand, that God actually conceives infinite dimension and infinite number. And from that understanding follows the possibility with the convenience and opportunity such as may be: that should the active power be infinite, then by necessary consequence, the subject power takes part in the infinite: because, as we have demonstrated elsewhere, what can be done must be done, the ability to measure implies the measurable thing, and the measurer implies the measured. Thus, as there really are bodies with finite dimension, the Prime Intellect understands bodies and dimension. If He has understanding of this, He understands infinity no less, and if He understands the infinite, and such bodies, then necessarily these are intelligible species, and are products of that intellect, for what is divine is most real, and as such what is that real must exist more surely than what we can actually see before our eyes.
But here we must consider that it is highly inconvenient to suppose the Supreme and Highest to be similar merely to a performer on the zither who cannot play in the absence of the instrument; thus would a Creator be unable to create because that which he is able to create cannot be created by him. This would lay down an obvious contradiction which cannot be overlooked save by the most ignorant.
Eighthly, concerning another line of reasoning, it is shewn that simple bodies of identical nature in innumerable diverse worlds have similar motion, and that merely arithmetical diversity causeth a difference of locality, each part having his own centre and being also referred to the common centre which cannot be sought within the universe.
Theophilo. Well said. But you do not answer the pith of the argument. For I do not insist on infinite space, nor is Nature endowed with infinite space for the exaltation of size or of corporeal extent, but rather for the exaltation of corporeal natures and species, because infinite perfection is far better presented in innumerable individuals than in those which are numbered and finite. Needs must indeed that there should be an infinite image of the inaccessible divine countenance and that there should be in this image as infinite members thereof, innumerable worlds, namely, these others that I postulate. But since innumerable grades of perfection must, through corporeal mode, unfold the divine incorporeal perfection, therefore there must be innumerable individuals, those great animals, whereof one is our earth, the divine mother who hath given birth to us, doth nourish us and moreover will receive us back; [19] and to contain these innumerable bodies there is needed an infinite space. Nevertheless it is well that there should be since there can be innumerable worlds similar to our own, even as our world hath achieved and doth achieve existence and it is well that it should exist.
These are the doubts and motives whose solution involveth only so much doctrine as will suffice to lay bare the intimate and radical errors of the current philosophy, and the weight and force of our own. Here is the reason wherefore we must not fear that any object may disappear, or any particle veritably melt away or dissolve in space or suffer dismemberment by annihilation. Here too is the reason of the constant change of all things, so that there existeth no evil beyond escape, nor good which is unattainable, since throughout infinite space and throughout endless change all substance remaineth one and the same. From these reflections, if we apply ourselves attentively, we shall see that no strange happening can be dismissed by grief or by fear, and that no good fortune can be advanced by pleasure or hope. Whereby we find the true path to true morality; we will be high minded, despising that which is esteemed by childish minds; and we shall certainly become greater than those whom the blind public doth adore, for we shall attain to true contemplation of the story of nature which is inscribed within ourselves, and we shall follow the divine laws which are engraved upon our hearts. We shall recognize that there is no distinction between flight from here to heaven and from heaven hither, nor between ascent from there hither and from here to there; nor yet is there descent between one and the other. We are not more circumferential to those others than they to us; they are not more central to us than we to them. Just as we do tread our star and are contained in our heaven, so also are they.
Behold us therefore beyond reach of jealousy, liberated from vain anxiety and from foolish concern to covet from afar that great good which we possess close by and at hand. Behold us moreover freed from panic lest others should fall upon us, rather than encouraged in the hope that we may fall upon them. Since the air which sustaineth our globe is as infinite as that which sustainet
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Secondly, it is demonstrated that a corporeal object cannot be terminated by an incorporeal object, but either by a Void or by a Plenum, and in either case, beyond the world is Space which is ultimately no other than Matter; this is indeed that same passive force whereby active force, neither grudging nor otiose, is roused to activity. And the vanity is shewn of Aristotle's argument concerning the incompatibility of dimensions.
IN THE third Dialogue there is first denied that base illusion of the shape of the heavens, of their spheres and diversity. For the heaven is declared to be a single general space, embracing the infinity of worlds, though we do not deny that there are other infinite 'heavens' using that word in another sense. For just as this earth hath her own heaven (which is her own region), through which she moveth and hath her course, so the same may be said of each of the innumerable other worlds.