Beneath all this technicality is the feeling that it is indeed "obviou — Roger Penrose

"Gödels theorem shows that this point of view is not really a tenable one in a fundamental philosophy of mathematics. The notion of mathematical truth goes beyond the whole concept of formalism. There is something absolute and God-given about mathematical truth. This is what , as discussed at the end of the last chapter, is about. Any particular formal system has a provisional and man-made quality about it. Such systems indeed have very valuable roles to play in mathematical discussions, but they can supply only a partial (or approximate) guide to truth. Real mathematical truth goes beyond mere man-made constructions."

"It seems to me that we must make a distinction between what is "objective" and what is "measurable" in discussing the question of physical reality, according to quantum mechanics. The state-vector of a system is, indeed, not measurable, in the sense that one cannot ascertain, by experiments performed on the system, precisely (up to proportionality) what the state is; but the state-vector does seem to be (again up to proportionality) a completely objective property of the system, being completely characterized by the results it must give to experiments that one might perform."

"It is hard for me to believe, as some have tried to maintain, that such SUPERB theories could have arisen merely by some random natural selection of ideas leaving only the good ones as survivors. The good ones are simply much too good to be the survivors of ideas that have arisen in that random way. There must, indeed, be some deep underlying reason for the accord between mathematics and physics, i.e. between Platos world and the physical world."

"It is hard to see how one could begin to develop a quantum-theoretical description of brain action when one might well have to regard the brain as "observing itself" all the time!"

"Do not seek for reasons in the specific patterns of stars, or of other scattered arrangements of objects; look, instead, for a deeper universal order in the way that things behave."

"General relativity is certainly a very beautiful theory, but how does one judge the elegance of physical theories generally?"

"In the life of the mass-order, the culture of the generality tends to conform to the demands of the average human being. Spirituality decays through being diffused among the masses when knowledge is impoverished in every possible way by rationalisation until it becomes accessible to the crude understanding of all."

"The first thing I remember about the world — and I pray that it may be the last — is that I was a stranger in it. This feeling, which everyone has in some degree, and which is, at once, the glory and desolation of homo sapiens, provides the only thread of consistency that I can detect in my life."

"Jewish custom, which traces descent solely from the mother, is more sensible and more discreet. Our own lawgivers cant accept the fact that there are many things in family life that are best kept shrouded in mystery."

"One makes mistakes; that is life. But it is never a mistake to have loved."

"If it fulfills our hopes, this center will be, at once, a symbol and a reflection and a hope. It will symbolize our belief that the world of creation and thought are at the core of all civilization. Only recently in the White House we helped commemorate the 400th anniversary of Shakespeare. The political conflicts and ambitions of his England are known to the scholar and to the specialist. But his plays will forever move men in every corner of the world. The leaders that he wrote about live far more vividly in his words than in the almost forgotten facts of their own rule. Our civilization, too, will largely survive in the works of our creation. There is a quality in art which speaks across the gulf dividing man from man and nation from nation, and century from century. That quality confirms the faith that our common hopes may be more enduring than our conflicting hostilities. Even now men of affairs are struggling to catch up with the insights of great art. The stakes may well be the survival of civilization. The personal preferences of men in government are not important--except to themselves. However, it is important to know that the opportunity we give to the arts is a measure of the quality of our civilization. It is important to be aware that artistic activity can enrich the life of our people, which really is the central object of Government. It is important that our material prosperity liberate and not confine the creative spirit."

"I did not go to join Kurtz there and then. I did not. I remained to dream the nightmare out to the end, and to show my loyalty to Kurtz once more. Destiny. My destiny! Droll thing life is — that mysterious arrangement of merciless logic for a futile purpose. The most you can hope from it is some knowledge of yourself — that comes too late — a crop of unextinguishable regrets. I have wrestled with death. It is the most unexciting contest you can imagine. It takes place in an impalpable grayness, with nothing underfoot, with nothing around, without spectators, without clamor, without glory, without the great desire of victory, without the great fear of defeat, in a sickly atmosphere of tepid skepticism, without much belief in your own right, and still less in that of your adversary. If such is the form of ultimate wisdom, then life is a greater riddle than some of us think it to be. I was within a hairs-breadth of the last opportunity for pronouncement, and I found with humiliation that probably I would have nothing to say. This is the reason why I affirm that Kurtz was a remarkable man. He had something to say. He said it. Since I had peeped over the edge myself, I understand better the meaning of his stare, that could not see the flame of the candle, but was wide enough to embrace the whole universe, piercing enough to penetrate all the hearts that beat in the darkness. He had summed up — he had judged. The horror! He was a remarkable man. After all, this was the expression of some sort of belief; it had candor, it had conviction, it had a vibrating note of revolt in its whisper, it had the appalling face of a glimpsed truth — the strange commingling of desire and hate."