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" "Why wouldst thou that God should in power, in act and in effect (which in him are identical) be determined as the limit of the convexity of a sphere, rather than that he should be as we may say the undetermined limit of the boundless? The limit I say, without limit, that I may differentiate the one infinity from the other. For He is the whole, comprehensive [26] and complete totality of the infinite, but the universe is the explicit though not the all-comprehensive totality (if indeed we may in any wise use the term totality where there is neither part nor boundary). Therefore the nature of the one doth comprehend boundaries; that of the other is bounded. And this is not the distinction between infinite and finite. The distinction is rather that the one is infinite, while the other doth limit according to the nature of the totality and of the whole being thereof. So that although it is entirely infinite, the infinity thereof is not completely comprehensive, for this would be repugnant to dimensional infinity.
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).
Biography information from Wikiquote
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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.
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