Some quotes on the theme of divorce of mind and matter:
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I am standing on the threshold about to enter a room. It is a complicated business. In the first place I must shove against an atmosphere pressing with a force of fourteen pounds on every square inch of my body. I must make sure of landing on a plank travelling at twenty miles a second round the sun — a fraction of a second too early or too late, the plank would be miles away. I must do this whilst hanging from a round planet head outward into space, and with a wind of aether blowing at no one knows how many miles a second through every interstice of my body. The plank has no solidity of substance. To step on it is like stepping on a swarm of flies. Shall I not slip through? No, if I make the venture one of the flies hits me and gives a boost up again; I fall again and am knocked upwards by another fly; and so on. I may hope that the net result will be that I remain about steady; but if unfortunately I should slip through the floor or be boosted too violently up to the ceiling, the occurrence would be, not a violation of the laws of Nature, but a rare coincidence. Verily, it is easier for a camel to pass through the eye of a needle than for a scientific man to pass through a door. And whether the door be barn door or church door it might be wiser that he should consent to be an ordinary man and walk in rather than wait till all the difficulties involved in a really scientific ingress are resolved.
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…While world alienation determined the course and the development of modern society, earth alienation became and has remained the hallmark of modern science. Under the sign of earth alienation, every science, not only physical and natural science, so radically changed its innermost content that one may doubt whether prior to the modern age anything like science existed at all. This is perhaps clearest in the development of the new science’s most important mental instrument, the devices of modern algebra, by which mathematics “succeeded in freeing itself from the shackles of spatiality,” that is, from geometry, which, as the name indicates, depends on terrestrial measures and measurements. Modern mathematics freed man from the shackles of earth-bound experience and his power of cognition from the shackles of finitude.
The decisive point here is not that men at the beginning of the modern age still believed with Plato in the mathematical structure of the universe nor that, one generation later, they believed with Descartes that certain knowledge is possible only where the mind plays with its own forms and formulas. What is decisive is the entirely un-Platonic subjection of geometry to algebraic treatment, which discloses the modern ideal of reducing terrestrial sense data and movements to mathematical symbols. … Yet even more significant than this possibility — to reckon with entities which could not be “seen” by the eye of the mind — was the fact that the new mental instrument, in this respect even newer and more significant than all the scientific tools it helped to devise, opened the way for an altogether novel mode of meeting and approaching nature in the experiment. In the experiment man realized his newly won freedom from the shackles of earth-bound experience; instead of observing natural phenomena as they were given to him, he placed nature under the conditions of his own mind, that is, under conditions won from a universal, astrophysical viewpoint, a cosmic standpoint outside nature itself.
…With the rise of modernity, mathematics does not simply enlarge its content or reach out into the infinite to become applicable to the immensity of an infinite and infinitely growing, expanding universe, but ceases to be concerned with appearances at all. It is no longer the beginning of philosophy, of the “science” of Being in its true appearance, but becomes instead the science of the structure of the human mind.
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Like all men of the Library, I have travelled in my youth: I have wandered in search of a book, perhaps the catalogue of catalogues; now that my eyes can hardly decipher what I write, I am preparing to die just a few leagues from the hexagon in which I was born. Once I am dead, there will be no lack of pious hands to throw me over the railing; my grave will be the fathomless air; my body will sink endlessly and decay and dissolve in the wind generated by the fall, which is infinite.