Infinite Quotes - page 11
To appreciate the nature of fractals, recall Galileo's splendid manifesto that "Philosophy is written in the language of mathematics and its characters are triangles, circles and other geometric figures, without which one wanders about in a dark labyrinth." Observe that circles, ellipses, and parabolas are very smooth shapes and that a triangle has a small number of points of irregularity. Galileo was absolutely right to assert that in science those shapes are necessary. But they have turned out not to be sufficient, "merely" because most of the world is of infinitely great roughness and complexity. However, the infinite sea of complexity includes two islands: one of Euclidean simplicity, and also a second of relative simplicity in which roughness is present, but is the same at all scales.
Benoît Mandelbrot
The Divine Existence (Daseyn),-his Existence, I say, which, according to the distinction already laid down, is his (Manifestation and Revelation of himself-is absolute- only through itself, and of necessity, LIGHT:-namely, y the inward and spiritual Light. This Light, left to itself, separates and divides itself into an infinite multiplicity of individual rays; and in this way, in these individual rays, becomes estranged from itself and its | original source. But this same Light may also again concentrate itself from out this separation, and conceive and comprehend itself as One, as that which it is in itself,-the Existence and Revelation of God; remaining indeed, even in this conception, that which it is in its form,-Light; but yet in this condition, and even by means of this very condition, announcing it-to self as having no real Being in itself, but as only the, Existence and Self-Manifestation of God.
Johann Gottlieb Fichte
I veil my face before thee, and lay my finger on my lips. What thou art in thyself, or how thou appearest to thyself, I can never know. After living through a thousand lives, I shall comprehend Thee as little as I do now in this mansion of clay. What I can comprehend, becomes finite by my mere comprehension, and this can never, by perpetual ascent, be transformed into the infinite, for it does not differ from it in degree merely, but in kind. By that ascent we may find a greater and greater man, but never a God, who is capable of no measurement.
Johann Gottlieb Fichte
The will is the living principle of the rational soul, is indeed itself reason, when purely and simply apprehended. That reason is itself active, means, that the pure will, as such, rules and is effectual. The infinite reason alone lies immediately and entirely in the purely spiritual order. The finite being lives necessarily at the same time in a sensuous order; that is to say, in one which presents to him other objects than those of pure reason; a material object, to be advanced by instruments and powers, standing indeed under the immediate command of the will, but whose efficacy is conditional also on its own natural laws.
Johann Gottlieb Fichte
What expressions we used – in part taken over and in part newly invented! - above all, the famous 'wholly other' breaking in upon us ‘perpendicularly from above,' the not less famous 'infinite qualitative distinction' between God and man, the vacuum, the mathematical point, and the tangent in which alone they must meet.
Karl Barth
The elite of the universal religions have always substituted belief in the Infinite for the experience of it. We all need God - but only in small and measured doses. Who can look upon the burning bush and not be destroyed in its flames? Who can bear the heaven and hell of each moment blazing in time? Who can shine like a star? And so, for all but a few of the manswarm, the rare ones who are truly human, it is better to glimpse such a miracle through a dark glass or to grasp it through words only.
David Zindell
