I have never proceeded from any Genus supremum of the actual infinite. Quite the contrary, I have rigorously proved that there is absolutely no Genus supremum of the actual infinite. What surpasses all that is finite and transfinite is no Genus; it is the single, completely individual unity in which everything is included, which includes the Absolute, incomprehensible to the human understanding. This is the Actus Purissimus, which by many is called God. 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. Thus I believe that there is no part of matter which is not - I do not say divisible - but actually divisible; and consequently the least particle ought to be considered as a world full of an infinity of different creatures.
Georg CantorRelated topics
absolute actual admitting author believe contrary different divisible everything favor frequent full genus hold human incomprehensible individual infinite infinity least matter nature order ought particle quite say show single thus understanding unity use world actus supremum transfiniteRelated quotes
Truly there is no cause for you to be miserable and unhappy. You yourself impose limitations on your true nature of infinite Being and then weep that you are but a finite creature. Then you take up this or that sadhana to transcend the nonexistent limitations. But if your sadhana itself assumes the existence of the limitations, how can it help you to transcend them? Hence I say know that you are really the infinite, pure Being, the Self Absolute. You are always that Self and nothing but that Self. Therefore, you can never be really ignorant of the Self; your ignorance is merely a formal ignorance... Know then that true Knowledge does not create a new Being for you; it only removes your "ignorant ignorance." Bliss is not added to your nature; it is merely revealed as your true and natural state, eternal and imperishable. The only way to be rid of your grief is to know and be the Self.
Ramana Maharshi
...the stereographic projection of the spherical surface. From the north pole P we draw radial lines to project every point of the surface of the sphere upon the horizontal plane [below, perpendicular to a line joining it to P and the sphere's center]. In general this transformation is unique and continuous, although the metrical relations are distorted; for the point P, however, it shows a singularity. Point P is mapped upon the infinite; i.e., no finitely located point of the plane corresponds to it. It can be shown that every transformation possesses a singularity in at least one point. The surface of the sphere is therefore called topologically different from the plane. Only a "sphere without a north pole" [point] would be topologically equivalent to a plane. ...such a sphere has a point-shaped hole without a boundary and is no longer a closed surface.
Hans Reichenbach
The individual, so far as he suffers from his wrongness and criticizes it, is to that extent consciously beyond it, and in at least possible touch with something higher, if anything higher exist. Along with the wrong part there is thus a better part of him, even though it may be but a most helpless germ. With which part he should identify his real being is by no means obvious at this stage; but when stage 2 (the stage of solution or salvation) arrives, the man identifies his real being with the germinal higher part of himself; and does so in the following way. He becomes conscious that this higher part is coterminous and continuous with a more of the same quality, which is operative in the universe outside of him, and which he can keep in working touch with, and in a fashion get on board of and save himself when all his lower being has gone to pieces in the wreck.
William James
Molly Notkin often confides on the phone to Joelle van Dyne about the one tormented love of Notkin's life thus far, an erotically circumscribed G. W. Pabst scholar at New York University tortured by the neurotic conviction that there are only a finite number of erections possible in the world at any one time and that his tumescence means e. g. the detumescence of some perhaps more deserving or tortured Third World sorghum farmer or something, so that whenever he tumifies he'll suffer the same order of guilt that your less eccentrically tortured Ph. D.-type person will suffer at the idea of, say, wearing baby-seal fur. Molly still takes the high-speed rail down to visit him every couple of weeks, to be there for him in case by some selfish mischance he happens to harden, prompting black waves of self-disgust and an extreme neediness for understanding and nonjudgmental love.
David Foster Wallace
This consideration must alter the form of our proposed inquiry; for the question being thus at least partly decided, since it is ascertained that we have rays of heat which give no light, it can only become a subject of inquiry whether some of these heat-making rays may not have a power of rendering objects visible, superadded to their now already established power of heating bodies. This being the case, it is evident that the onus probandi [burden of proof] ought to lie with those who are willing to establish such an hypothesis, for it does not appear that Nature is in the habit of using one and the same mechanism with any two of our senses. Witness the vibration of air that makes sound, the effluvia that occasion smells, the particles that produce taste, the resistance or repulsive powers that affect the touch-all these are evidently suited to their respective organs of sense.
William Herschel
