Atheists From England

"[S]ome of these regions may be... indistinguishable, for example the air in the room. We might have molecules in some other places. You might like to say we don't care where the individual molecules are. We just care about overall parameters, and so we lump together the systems which look very much the same. ...[L]et's say with regard to macroscopic parameters we lump them together, and so we have these things called course graining cells in the phase space... [Y]ou then say, well let's measure the volume of these regions... V... and the logarithm of that volume is the entropy. This is a marvelous formula due to Boltzmann. This [k] is Boltzmann's constant, the only thing in the formula that wasn't due to Boltzmann... This was named afterwards. I don't think he was particularly interested in constants..."

"It's a very plausible thing now that the entropy should increase all the time... [T]hese volumes... are... enormously different in scale... I can't convey to you in the picture the absolute stupendous difference in the sizes of these volumes. So if you happen to find yourself in one of them, and you wiggle around, the next one you find yourself in will be overwhelmingly likely to be much much larger, and the entropy therefor goes up."

"[T]he randomness is measured... by... entropy, and it's telling us that this entropy is increasing with time. ...[I]t can be given a clearer definition ...the idea due to Boltzmann ...we imagine... a ... a space... of a very large number of dimensions, where each point in the space represents a state of the system at one moment. In fact it contains both the positions of all the particles and the momenta (or velocities) of all the particles. So if you know where the point is in this large dimensional space at any moment that describes a particular thing... then the dynamics will tell you where that point moves. So that there will be a unique path through that point, wiggling around somewhere through this phase space."

"In its simplest form, the 2nd law of thermodynamics... You imagine... a glass of wine sitting on a table... it falls off and wine splashes out onto the carpet...[etc.] If you just think of this as a Newtonian situation, as the system evolves the thing proceeds according to Newtonian laws, but Newtonian laws are reversible in time... What's not so agreeable [about the reverse] is that it violates the 2nd law..."

"If you want fantasy... first of all, you have to believe in string theory... these extra dimensions and the D brains... and these D brains are supposed to have collided in the period before the Big Bang and there they come together and produced our Big Bang... and that expands... [T]he trouble... is a strong element of fantasy. We really haven't the remotest idea... what kind of physics is supposed to go on here, but there's a more serious problem... [T]his... has different forms, one... is... in terms of the 2nd law of thermodynamics... and it's related to a geometrical issue... [T]hese pictures are hard to draw.... because the singularity in the black hole doesn't really fit on the Big Bang singularity... It's a stretch of geometrical imagination... [I]t doesn't make them wrong, because... you really do need some fantasy, and this is an example of this possible kind of fantasy that you might need, but I want to give you a different kind which... has some greater plausibility..."

"The 2nd law of thermodynamics... tells you that randomness increases with time. It's a sort of depressing law... It depends on how you look at it, really..."

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

"It is quite likely that the 21st century will reveal even more wonderful insights than those that we have been blessed with in the 20th. But for this to happen, we shall need powerful new ideas, which will take us in directions significantly different from those currently being pursued. Perhaps what we mainly need is some subtle change in perspective—something that we all have missed...."

"[C]razy ideas are the sort of thing one needs when talking about the Big Bang. ...All the ideas I'm going to show you... are put forward by very... respectable cosmologists. It doesn't make the ideas any less crazy..."

"...the entire physical world is depicted as being governed according to mathematical laws. We shall be seeing in later chapters that there is powerful (but incomplete) evidence in support of this contention. On this view, everything in the physical universe is indeed governed in completely precise detail by mathematical principles — perhaps by equations, such as those we shall be learning about in chapters to follow, or perhaps by some future mathematical notions fundamentally different from those which we would today label by the term ‘equations’. If this is right, then even our own physical actions would be entirely subject to such ultimate mathematical control, where ‘control’ might still allow for some random behaviour governed by strict probabilistic principles."

"Beneath all this technicality is the feeling that it is indeed "obvious" that the conscious mind cannot work like a computer, even though much of what is involved in mental activity might do so. This is the kind of obviousness that a child can see—though the child may, later in life, become browbeaten into believing that the obvious problems are "non-problems", to be argued into nonexistence by careful reasoning and clever choices of definition. Children sometimes see things clearly that are obscured in later life. We often forget the wonder that we felt as children when the cares of the "real world" have begun to settle on our shoulders. Children are not afraid to pose basic questions that may embarrass us, as adults, to ask. What happens to each of our streams of consciousness after we die; where was it before we were born; might we become, or have been, someone else; why do we perceive at all; why are we here; why is there a universe here at all in which we can actually be? These are puzzles that tend to come with the awakenings of awareness in any one of us—and, no doubt, with the awakening of self-awareness, within whichever creature or other entity it first came."

"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."

"I'm not sure what Friedmann actually said, but he... produced a model in which the universe... started in a Big Bang... expanded to a maximum size... then would shrink down to a crunch, and then start all over again. ...There would be several Big Bangs and before each one, would be a collapsing phase of the universe..."

"How is it that mathematical ideas can be communicated in this way? I imagine that whenever the mind perceives a mathematical idea, it makes contact with Plato's world of mathematical concepts. ... When one 'sees' a mathematical truth, one's consciousness breaks through into this world of ideas, and makes direct contact with it ('accessible via the intellect'). I have described this 'seeing' in relation to Gödel's theorem, but it is the essence of mathematical understanding. When mathematicians communicate, this is made possible by each one having a direct route to truth, the consciousness of each being in a position to perceive mathematical truths directly, through this process of 'seeing'. (Indeed, often this act of perception is accompanied by words like 'Oh, I see'!) Since each can make contact with Plato's world directly, they can more readily communicate with each other than one might have expected. The mental images that each one has, when making this Platonic contact, might be rather different in each case, but communication is possible because each is directly in contact with the same externally existing Platonic world!"

"According to this view, the mind is always capable of this direct contact. But only a little may come through at a time. Mathematical discovery consists of broadening the area of contact. Because of the fact that mathematical truths are necessary truths, no actual 'information', in the technical sense, passes to the discoverer. All the information was there all the time. It was just a matter of putting things together and 'seeing' the answer! This is very much in accordance with Plato's own idea that (say mathematical) discovery is just a form of remembering! Indeed, I have often been struck by the similarity between just not being able to remember someone's name, and just not being able to find the right mathematical concept. In each case, the sought-for concept is in a sense already present in the mind, though this is a less usual form of words in the case of an undiscovered mathematical idea."

"What right do we have to claim, as some might, that human beings are the only inhabitants of our planet blessed with an actual ability to be "aware"? … The impression of a "conscious presence" is indeed very strong with me when I look at a dog or a cat or, especially, when an ape or monkey at the zoo looks at me. I do not ask that they are "self-aware" in any strong sense (though I would guess that an element of self-awareness can be present). All I ask is that they sometimes simply feel!"

"Gödel's 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."

"Does life in some way make use of the potentiality for vast quantum superpositions, as would be required for serious quantum computation? How important are the quantum aspects of DNA molecules? Are cellular microtubules performing some essential quantum roles? Are the subtleties of quantum field theory important to biology? Shall we gain needed insights from the study of quantum toy models? Do we really need to move forward to radical new theories of physical reality, as I myself believe, before the more subtle issues of biology — most importantly conscious mentality — can be understood in physical terms? How relevant, indeed, is our present lack of understanding of physics at the quantum/classical boundary? Or is consciousness really “no big deal,” as has sometimes been expressed? It would be too optimistic to expect to find definitive answers to all these questions, at our present state of knowledge, but there is much scope for healthy debate..."

"Moreover, the complete details of the complication of the structure of Mandelbrot's set cannot really be fully comprehended by anyone of us, nor can it be fully revealed by any computer. It would seem that this structure is not just part of our minds, but it has a reality of its own. ... The computer is being used in essentially the same way that the experimental physicist uses a piece of experimental apparatus to explore the structure of the physical world. The Mandelbrot set is not an invention of the human mind: it was a discovery. Like Mount Everest, the Mandelbrot set is just there!"

"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 Plato's world and the physical world."

"I have been arguing that such 'God-given' mathematical ideas should have some kind of timeless existence, independent of our earthly selves."

"[T]here's a version of this a version of this idea which John Wheeler has promoted, which is that in each of these cycles, since nobody really knows what goes on at the crunch, bang stage... you can... invent any physics you like, and one idea... is to suggest that the... fundamental constants of nature might get changed every time you go through one of these cycles... [T]his might help to explain... puzzles that... the constants have to be just such and such in order that life should exist...[etc.] I always have trouble with many of these arguments. It's not at all clear whether you need them or not. They might be true but we don't know. It may be that these numbers are fixed and they might change through each cycle...[etc.] but our current physics... doesn't allow this kind of thing. These are singular states according to classical theory. Maybe if we had quantum gravity... one could imagine such a scheme..."

"There are two other words I do not understand — awareness and intelligence. Well, why am I talking about things when I do not know what they really mean? It is probably because I am a mathematician and mathematicians do not mind so much about that sort of thing. They do not need precise definitions of the things they are talking about, provided they can say something about the connections between them."

"Some years ago, I wrote a book called The Emperor's New Mind and that book was describing a point of view I had about consciousness and why it was not something that comes about from complicated calculations. So we are not exactly computers. There's something else going on and the question of what this something else was would depend on some detailed physics and so I needed chapters in that book, which describes the physics as it is understood today. Well anyway, this book was written and various people commented to me and they said perhaps I could use this book for a course Physics for Poets or whatever it is if it didn't have all that contentious stuff about the mind in that. So I thought, well, that doesn't sound too hard, all I'll do is get out the scissor out and snip out all the bits, which have something to do with the mind. The trouble is that if I did that — and I actually didn't do it — the whole book fell to pieces really because the whole driving force behind the book was this quest to find out what could it be that constitutes consciousness in the physical world as we know it or as we hope to know it in future"

"Understanding is, after all, what science is all about — and science is a great deal more than mindless computation."

"Somewhat more exotic is the idea... by Lee Smolin in his book... [T]hese pictures are a little hard to draw... The difficulty seems... a... drawback. It may mean... something... troublesome about the geometry. ...[W]e have black holes forming ...You must imagine each one of these forming ...take this funnel ...that's supposed to represent the universe ...which expands from the Big Bang and ...its expansion accelerates because of ... or, if you're more boring like me, the cosmological constant ...and according to Smolin, all these black holes, which form at various places, could be the origins of new universes, and you see them sprouting off at various places... [Y]ou can adopt the Wheeler idea of maybe having the constants of nature changing to reach one of these phases."

"Therefore the earth is dark to me, the sunlight blackness, Therefore I go in tears and alone, by night and day; Therefore I find no love in heaven, no light, no beauty, A heaven taken by storm, where none are left but the slain!"

"Dark to me is the earth. Dark to me are the heavens. Where is she that I loved, the woman with eyes like stars? Desolate are the streets. Desolate is the city. A city taken by storm, where none are left but the slain."

"I knew the Spring was come. I knew it even Better than all by this, that through my chase In bush and stone and hill and sea and heaven I seem'd to see and follow still your face. Your face my quarry was. For it I rode, My horse a thing of wings, myself a god."

"Life is a play acted by dying men, Where, if its heroes seem to foot it well And go light-tongued without grimace of pain, Death will be found anon. And who shall tell Which part was saddest, or in youth or age, When the tired actor stops and leaves the stage?"

"It is now a period of more than two years since first I saw your inestimable book of Political Justice. It opened to my mind fresh and more extensive views; it materially influenced my character, and I rose from its perusal a wiser and a better man. I was no longer the votary of romance; till then I had existed in an ideal world—now I found that in this universe of ours was enough to excite the interest of the heart, enough to employ the discussions of reason; I beheld, in short, that I had duties to perform. Conceive the effect which the Political Justice would have upon a mind before jealous of its independence, participating somewhat singularly in a peculiar susceptibility."

"Two other general characteristics of rationalist politics may be observed. They are the politics of perfection, and they are the politics of uniformity; either of these characteristics without the other denotes a different style of politics, the essence of rationalism is their combination. The evanescence of imperfection may be said to be the first item of the creed of the Rationalist. He is not devoid of humility; he can imagine a problem which would remain impervious to the onslaught of his own reason. But what he cannot imagine is politics which do not consist in solving problems, or a political problem of which there is no 'rational' solution at all. Such a problem must be counterfeit. And the 'rational' solution of any problem is, in its nature, the perfect solution. There is no place in his scheme for a 'best in the circumstances', only a place for 'the best'; because the function of reason is precisely to surmount circumstances. Of course, the Rationalist is not always a perfectionist in general, his mind governed in each occasion by a comprehensive Utopia; but invariably he is a perfectionist in detail. And from this politics of perfection springs the politics of uniformity; a scheme which does not recognize: circumstance can have no place for variety. 'There must in the nature of things be one best form of government which all intellects, sufficiently roused from the slumber of savage ignorance, will be irresistibly incited to approve,' writes Godwin. This intrepid Rationalist states in general what a more modest believer might prefer to assert only in detail; but the principle holds — there may not be one universal remedy for all political ills, but the remedy for any particular ill is as universal in its application as it is rational in its conception. If the rational solution for one of the problems of a society has been determined, to permit any relevant part of the society to escape from the solution is, ex hypotkesi, to countenance irrationality. There can be no place for preference that is not rational preference, and all rational preferences necessarily coincide. Political activity is recognized as the imposition of a uniform condition of perfection upon human conduct."

"What is striking about the population question to our modern eyes is not whether England actually was or was not in danger of petering out as a nation. In retrospect, what is interesting is how harmonious either view of the population problem was with a vision that puts its faith in natural law, reason, and progress. Was the population declining? Then it should be encouraged to grow, as it “naturally” would under the benign auspices of the laws that Adam Smith had shown to be the guiding principles of a free market economy. Was the population growing? All to the good, since everyone agreed that a growing population was a source of national wealth. No matter which way one cut the cake, the result was favorable to an optimistic prognosis for society; or, to put it differently, there was nothing in the population question, as it was understood, to shake men’s faith in their future. Perhaps no one summed up this optimistic outlook so naively and completely as William Godwin. Godwin, a minister and pamphleteer, looked at the heartless world about him and shrank back in dismay. But he looked into the future and what he saw was good. In 1793 he published Political Justice, a book that excoriated the present but gave promise of a distant future in which “there will be no war, no crime, no administration of justice, as it is called, and no government. Besides this there will be no disease, anguish, melancholy, or resentment.” What a wonderful vision! It was, of course, highly subversive, for Godwin’s utopia called for complete equality and for the most thoroughgoing anarchic communism: even the property contract of marriage would be abolished. But in view of the high price of the book (it sold for three guineas) the Privy Council decided not to prosecute the author, and it became the fashion of the day in the aristocratic salons to discuss Mr. Godwin’s daring ideas."

"The Spirit of the Age was never more fully shown than in its treatment of this writer — its love of paradox and change, its dastard submission to prejudice and to the fashion of the day. Five-and twenty years ago he was in the very zenith of a sultry and unwholesome popularity; he blazed as a sun in the firmament of reputation; no one was more talked of, more looked up to, more sought after, and wherever liberty, truth, justice was the theme, his name was not far off. Now he has sunk below the horizon, and enjoys the serene twilight of a doubtful immortality. Mr. Godwin, during his lifetime, has secured to himself the triumphs and the mortifications of an extreme notoriety and of a sort of posthumous fame. His bark, after being tossed in the revolutionary tempest, now raised to heaven by all the fury of popular breath, now almost dashed in pieces, and buried in the quicksands of ignorance, or scorched with the lightning of momentary indignation, at length floats on the calm wave that is to bear it down the stream of time. Mr. Godwin's person is not known, he is not pointed out in the street, his conversation is not courted his opinions are not asked, he is at the head of no cabal, he belongs to no party in the State, he has no train of admirers, no one thinks it worth his while even to traduce and vilify him, he has scarcely friend or foe the world make a point (as Goldsmith used to say) of taking no more notice of him than if such an individual had never existed; he is to all ordinary intents and purposes dead and buried. But the author of Political Justice and of Caleb Wiliams can never die; his name is an abstraction in letters; his works are standard in the history of intellect."

"It was Godwin, in his Enquiry Concerning Political Justice (2 vols., 1793), who was the first to formulate the political and economical conceptions of anarchism, even though he did not give that name to the ideas developed in his remarkable work. Laws, he wrote, are not a product of the wisdom of our ancestors: they are the product of their passions, their timidity, their jealousies and their ambition. The remedy they offer is worse than the evils they pretend to cure. If and only if all laws and courts were abolished, and the decisions in the arising contests were left to reasonable men chosen for that purpose, real justice would gradually be evolved. As to the state, Godwin frankly claimed its abolition. A society, he wrote, can perfectly well exist without any government: only the communities should be small and perfectly autonomous. Speaking of property, he stated that the rights of every one ‘to every substance capable of contributing to the benefit of a human being’ must be regulated by justice alone: the substance must go ‘to him who most wants it’. His conclusion was communism. Godwin, however, had not the courage to maintain his opinions. He entirely rewrote later on his chapter on property and mitigated his communist views in the second edition of Political Justice (8 vols., 1796)."

"The evil of marriage, as is it practiced in the European countries, extends further than we have yet described. The method is for a thoughtless and romantic youth of each sex, to come together, to see each other, for a few times, and under circumstances full of delusion and then to vow eternal attachment. What is the consequence of this? In almost every instance they find themselves deceived. They are reduced to make the best of an irretrievable mistake. They are led to conceive it their wiser policy, to shut their eyes upon realities, happy, if by any perversion of intellect, they can persuade themselves that they were right in their first crude opinion of each other. Thus the institution of marriage is made a system of fraud; and men who carefully mislead their judgement in the daily affair of their life, must be expected to have a crippled judgement in every other concern."

"Portable Enlightenment Reader, p. 478-479"

"I have finished Godwin. His work [Enquiry Concerning Political Justice] cannot be too highly praised. All mankind are indebted to the author. The cause of despotism never met a more formidable adversary. He goes to the root of every evil that now plagues man and degrades him almost beneath the savage beast. He shows the source whence all the misfortunes of mankind flow. That source he demonstrates to be political government."

"I did not hate the author of my misfortunes — truth and justice acquit me of that; I rather pitied the hard destiny to which he seemed condemned. But I thought with unspeakable loathing of those errors, in consequence of which every man is fated to be, more or less, the tyrant or the slave. I was astonished at the folly of my species, that they did not rise up as one man, and shake off chains so ignominious, and misery so insupportable. So far as related to myself, I resolved — and this resolution has never been entirety forgotten by me — to hold myself disengaged from this odious scene, and never fill the part either of the oppressor or the sufferer."

"Democracy is a system of government according to which every member of society is considered as a man and nothing more."

"Anarchy, in its own nature, is an evil of short duration. The more horrible are the mischiefs it inflicts, the more does it hasten to a close."

"Nothing can be of more importance than to separate prejudice and mistake on the one hand from reason and demonstration on the other."

"Simplify the social system, in the manner which every motive, but those of usurpation and ambition, powerfully recommends; render the plain dictates of justice level to every capacity; remove the necessity of implicit faith; and we may expect the whole species to become reasonable and virtuous."

"Mankind will never be, in an eminent degree, virtuous and happy till each man shall possess that portion of distinction and no more, to which he is entitled by his personal merits. The dissolution of aristocracy is equally the interest of the oppressor and the oppressed. The one will be delivered from the listlessness of tyranny, and the other from the brutalizing operation of servitude."

"Privilege is a regulation rendering a few men, and those only, by the accident of their birth, eligible to certain situations. It kills all liberal ambition in the rest of mankind, by opposing to it an apparently insurmountable bar. It diminishes it in the favored class itself, by showing them the principal qualification as indefeasibly theirs. Privilege entitles a favored few to engross to themselves gratifications which the system of the universe left at large to all her sons; it puts into the hands of those few the means of oppression against the rest of their species; it fill them witth vain-glory, and affords them every incitement to insolence and a lofty disregard to the feeling and interests of others."

"The case of mere titles is so absurd that it would deserve to be treated only with ridicule were t not for the serious mischief they impose on mankind. The feudal system was a ferocious monster, devouring, where it came, all that the friend of humanity regards with attachment and love. The system of titles appears under a different form. The monster is at length destroyed, and they who followed in his train, and fattened upon the carcasses of those he slew, have stuffed his skin, and, b exhibiting it, hope still to terrify mankind into patient and pusillanimity."

"It is false that kings are entitled to the eminence they obtain. They possess no intrinsic superiority over their subjects. The line of distinction that is drawn is the offspring of pretense, an indirect means employed for effecting certain purposes, and not the language of truth. It tramples upon the genuine nature of things, and depends for its support upon this argument, 'that, were it not for impositions of a similar nature, mankind would be miserable.'"

"Till mankind be satisfied with the naked statement of what they really perceive, till they confess virtue to be then most illustrious, when she more disdains the aid of ornament, they will never arrive at that manly justice of sentiment at which they seem destined one day to arrive. By his scheme of naked virtue will be every day a gainer; every succeeding observer willl more fully do her justice, while vice, deprived of that varnish with which she delighted to glow her actions of that gaudy exhibition which may be made alike by every pretender will speedily sink into unheeded contempt."