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April 10, 2026
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"The development of indicates in still another respect the degree of development of wealth generally, or of capital… The creation of a large quantity of disposable time apart from necessary labour time for society generally and each of its members (i.e. room for the development of the individuals’ full productive forces, hence those of society also), this creation of not-labour time appears in the stage of capital, as of all earlier ones, as not-labour time, free time, for a few. What capital adds is that it increases the surplus labour time of the mass by all the means of art and science, because its wealth consists directly in the appropriation of surplus labour time; since value directly its purpose, not use value. It is thus, despite itself, instrumental in creating the means of social disposable time, in order to reduce labour time for the whole society to a diminishing minimum, and thus to free everyone’s time for their own development. But its tendency always, on the one side, to create disposable time, on the other, to convert it into surplus labour... The mass of workers must themselves appropriate their own surplus labour. Once they have done so – and disposable time thereby ceases to have an antithetical existence – then, on one side, necessary labour time will be measured by the needs of the social individual, and, on the other, the development of the power of social production will grow so rapidly that, even though production is now calculated for the wealth of all, disposable time will grow for all. For real wealth is the developed productive power of all individuals. The measure of wealth is then not any longer, in any way, labour time, but rather disposable time. Labour time as the measure of value posits wealth itself as founded on poverty, and disposable time as existing in and because of the antithesis to surplus labour time; or, the positing of an individual’s entire time as labour time, and his degradation therefore to mere worker, subsumption under labour. The most developed machinery thus forces the worker to work longer than the savage does, or than he himself did with the simplest, crudest tools."
"On the other hand one must not entertain any fantastic illusions on the productive power of the credit system, so far as it supplies or sets in motion money-capital."
"The fact is, therefore, that definite individuals who are productively active in a definite way enter into these definite social and political relations. must in each separate instance bring out empirically, and without any mystification and speculation, the connection of the social and with production. The social structure and the state are continually evolving out of the life-process of definite individuals, but of individuals, not as they appear in their own or other people's imagination, but as they really are; i.e. as they are effective, produce materially, and are active under definite material limits, presuppositions and conditions independent of their will. The production of ideas, of conceptions, of consciousness, is at first directly interwoven with the material activity and the material intercourse of men, the language of real life. Conceiving, thinking, the mental intercourse of men, appear at this stage as the direct efflux of their material behaviour. The same applies to mental production as expressed in the language of the politics, laws, morality, religion, metaphysics of a people. Men are the producers of their conception, ideas, etc. — real, active men, as they are conditioned by a definite development of their productive forces and of the intercourse corresponding to these, up to its furthest forms. Consciousness can never be anything else than conscious existence, and the existence of men is their actual life-process. If in all ideology men and their circumstances appear upside down as in a camera obscura, this phenomenon arises just as much from their historical life-process as the inversion of objects on the retina does from their physical life-process."
"The greatest improvement in the productive powers of labour, and the greatest part of skill, dexterity, and judgment with which it is any where directed, or applied, seem to have been the effects of the division of labour."
"The annual produce of the land and labour of any nation can be increased in its value by no other means, but by increasing either the number of its productive labourers, or the productive powers of those labourers who had before been employed."
"In the social production of their life, men enter into definite relations that are indispensable and independent of their will; these correspond to a definite stage of development of their material forces of production. The sum total of these relations of production constitutes the economic structure of society — the real foundation, on which rises a legal and political superstructure and to which correspond definite forms of . The mode of production of material life determines the social, political and intellectual life process in general. It is not the consciousness of men that determines their being, but, on the contrary, their social being that determines their consciousness. [Es ist nicht das Bewußtsein der Menschen, das ihr Sein, sondern umgekehrt ihr gesellschaftliches Sein, das ihr Bewusstsein bestimmt.] At a certain stage of their development, the material productive forces in society come in conflict with the existing relations of production, or — what is but a legal expression for the same thing — with the property relations within which they have been at work before. From forms of development of the productive forces these relations turn into fetters. Then begins an epoch of . With the change of the economic foundation the entire immense superstructure is more or less rapidly transformed. In considering such transformations a distinction should always be made between the material transformation of the economic conditions of production, which can be determined with the precision of , and the legal, political, religious, aesthetic or philosophic — in short, ideological forms in which men become conscious of this conflict and fight it out. Just as our opinion of an individual is not based on what he thinks of himself, so we can not judge of such a period of transformation by its own consciousness; on the contrary, this consciousness must be explained rather from the contradictions of material life, from the existing conflict between the social productive forces and the relations of production. No social order ever disappears before all the productive forces for which there is room in it have been developed; and new, higher relations of production never appear before the material conditions of their existence have matured in the womb of the old society itself. Therefore, mankind always sets itself only such tasks as it can solve; since, looking at the matter more closely, we will always find that the task itself arises only when the material conditions necessary for its solution already exist or are at least in the process of formation. In broad outlines we can designate the Asiatic, the ancient, the feudal, and the modern bourgeois modes of production as so many progressive epochs in the economic formation of society. The bourgeois relations of production are the last antagonistic form of the social process of production — antagonistic not in the sense of individual antagonism, but of one arising from the social conditions of life of the individuals; at the same time the productive forces developing in the womb of bourgeois society create the material conditions for the solution of that antagonism. This social formation constitutes, therefore, the closing chapter of the prehistoric stage of human society."
"I have a feeling that if a Dalitist state gets established it will be a far better Socialist model for the world than the other models which were already established because Dalitbahujan society was never so , there is no such constructed religion like that, it has been much more spontaneous, and they have lived for such a long time with that kind of a thinking. So from that to a kind of conscious educated Dalitist socialist system, I think that the productive forces would get released a thousand times, and equality will come much better but it should be under Dalit leadership. Now if under Dalit women leadership if a Dalitist state and society is established I think we will see a very bright future for the whole country."
"This strange and unnatural spectacle of large numbers of willing men who cannot find employment is enough to suggest the true cause to whosoever can think consecutively. For, though custom has dulled us to it, it is a strange and unnatural thing that men who wish to labor, in order to satisfy their wants, cannot find the opportunity — as, since labor is that which produces wealth, the man who seeks to exchange labor for food, clothing, or any other form of wealth, is like one who proposes to give bullion for coin, or wheat for flour. We talk about the and the demand for labor, but, evidently, these are only relative terms. The supply of labor is everywhere the same — two hands always come into the world with one mouth, twenty-one boys to every twenty girls; and the demand for labor must always exist as long as men want things which labor alone can procure. We talk about the "want of work," but, evidently, it is not work that is short while want continues; evidently, the supply of labor cannot be too great, nor the demand for labor too small, when people suffer for the lack of things that labor produces. The real trouble must be that supply is somehow prevented from satisfying demand, that somewhere there is an obstacle which prevents labor from producing the things that laborers want. Take the case of any one of these vast masses of unemployed men, to whom, though he never heard of Malthus, it today seems that there are too many people in the world. In his own wants, in the needs of his anxious wife, in the demands of his half-cared-for, perhaps even hungry and shivering children, there is demand enough for labor, Heaven knows! In his own willing hands is the supply. Put him on a solitary island, and though cut off from all the enormous advantages which the co-operation, combination, and machinery of a civilized community give to the productive powers of man yet his two hands can fill the mouths and keep warm the backs that depend upon them. Yet where productive power is at its highest development they cannot. Why? Is it not because in the one case he has access to the material and , and in the other this access is denied? Is it not the fact that labor is thus shut off from nature which can alone explain the state of things that compels men to stand idle who would willingly supply their wants by their labor? The proximate cause of enforced idleness with one set of men may be the cessation of demand on the part of other men for the particular things they produce, but trace this cause from point to point, from occupation to occupation, and you will find that enforced idleness in one trade is caused by enforced idleness in another, and that the paralysis which produces dullness in all trades cannot be said to spring from too great a supply of labor or too small a , but must proceed from the fact that supply cannot meet demand by producing the things which satisfy want and are the object of labor."
"Capitalism subordinates men to machines instead of using machines] to liberate men from the burden of mechanical and repetitive work. it subordinates all social activities to the imperatives of an incessant drive for individual enrichment in terms of money, instead of gearing social life to the development of rich individualities and their social relations. The contradiction between use-value and exchange-value, inherent in every commodity, fully unfolds itself in this contradictory nature of capitalist machinery. When capitalism is not overthrown once it has created the material and social preconditions for a classless society of associated producers, this contradiction implies the possibility of a steadily increasing transformation of the forces of production into forces of destruction, in the most literal sense of the word: not only forces of destruction of wealth (crises and wars), of human wealth and human happiness, but also forces of destruction of life tout court."
"Is the ordinary person incompetent? No judgment is more decisive for one's political philosophy. It was perhaps the single most important difference in judgment between Plato and Aristotle."
"A certain immense aggregate of operations, is subservient to the production of the commodities useful and agreeable to man. It is of the highest importance that this aggregate should be divided into portions, consisting, each, of as small a number of operations as possible, in order that every operation may be the more quickly and perfectly, performed. If each man could, by the more frequent repetition thus occasioned, perform two of these operations, instead of one, and also perform each of them better, the powers of the community, in producing articles useful and agreeable to them, would, upon this supposition, be more than doubled. Not only would they be doubled in quantity, but a great advantage would be gained in point of quality."
"It is true that wealth has been greatly increased, and that the average of comfort, leisure, and refinement has been raised; but these gains are not general. In them the lowest class do not share. I do not mean that the condition of the lowest class has nowhere nor in anything been improved; but that there is nowhere any improvement which can be credited to increased productive power. I mean that the tendency of what we call material progress is in nowise to improve the condition of the lowest class in the essentials of healthy, happy . Nay, more, that it is still further to depress the condition of the lowest class. The new forces, elevating in their nature though they be, do not act upon the social fabric from underneath, as was for a long time hoped and believed, but strike it at a point intermediate between top and bottom. It is as though an immense wedge were being forced, not underneath society, but through society. Those who are above the point of separation are elevated, but those who are below are crushed down."
"Much if not all we know about the complex mechanism responsible for the development (and stagnation) of productive forces, and for the rise and decay of social organizations, is the result of the analytical work undertaken by Marx and by those whom he inspired."
"Every change in the social order, every revolution in property relations, is the necessary consequence of the creation of new forces of production which no longer fit into the old property relations. Private property has not always existed. When, towards the end of the Middle Ages, there arose a new which could not be carried on under the then existing feudal and guild forms of property, this manufacture, which had outgrown the old property relations, created a new property form, private property. And for manufacture and the earliest stage of development of big industry, private property was the only possible property form; the social order based on it was the only possible social order."
"So long as it is not possible to produce so much that there is enough for all, with more left over for expanding the and extending the forces of production – so long as this is not possible, there must always be a ruling class directing the use of society’s productive forces, and a poor, oppressed class. How these classes are constituted depends on the stage of development."
"What will be the consequences of the ultimate disappearance of private property? Society will take all forces of production and means of commerce, as well as the exchange and , out of the hands of private capitalists and will manage them in accordance with a plan based on the availability of resources and the needs of the whole society. In this way, most important of all, the evil consequences which are now associated with the conduct of big industry will be abolished. There will be no more crises; the expanded production, which for the present order of society is and hence a prevailing cause of misery, will then be insufficient and in need of being expanded much further. Instead of generating misery, overproduction will reach beyond the elementary requirements of society to assure the satisfaction of the needs of all; it will create new needs and, at the same time, the means of satisfying them. It will become the condition of, and the stimulus to, new progress, which will no longer throw the whole social order into confusion, as progress has always done in the past."
"The general co-operation of all members of society for the purpose of planned exploitation of the forces of production, the expansion of production to the point where it will satisfy the needs of all, the abolition of a situation in which the needs of some are satisfied at the expense of the needs of others, the complete liquidation of classes and their conflicts, the rounded development of the capacities of all members of society through the elimination of the present division of labor, through industrial education, through engaging in varying activities, through the participation by all in the enjoyments produced by all, through the combination of city and country – these are the main consequences of the abolition of private property."
"Engineers were the only members of the community "who understand the needs of the nation, desires of the workmen, and the power of the productive forces""
"Ah, how unjust to Nature and himself Is thoughtless, thankless, inconsistent man!"
"I have learned To look on nature, not as in the hour Of thoughtless youth; but hearing oftentimes The still, sad music of humanity, Nor harsh nor grating, though of ample power To chasten and subdue."
"The tools of conquest do not necessarily come with bombs, and explosions, and fallout. There are weapons that are simply thoughts, attitudes, prejudices, to be found only in the minds of men. For the record, prejudices can kill and suspicion can destroy; and a thoughtless, frightened search for a scapegoat has a fallout all of its own for the children, and the children yet unborn. And the pity of it is, that these things cannot be confined to the Twilight Zone.”"
"Must then a Christ perish in torment in every age to save those that have no imagination?"
"Epimetheus, the being in whom thought follows production, represents nature in the sense of materialism, according to which thought comes later than thoughtless bodies and their thoughtless motions."
"You are so thoughtless of me You say things that make me so blue You show it in so many little things you do Or is that just your way of telling me we're through You're much too much on my mind I guess that you just shouldn't be And maybe if I thought less of you, baby, You wouldn't be so thoughtless of me"
"Truth has no special time of its own. Its hour is now — always, and indeed then most truly when it seems most unsuitable to actual circumstances. Care for distress at home and care for distress elsewhere do but help each other if, working together, they wake men in sufficient numbers from their thoughtlessness, and call into life a new spirit of humanity."
"Very little of the great cruelty shown by men can really be attributed to cruel instinct. Most of it comes from thoughtlessness or inherited habit. The roots of cruelty, therefore, are not so much strong as widespread. But the time must come when inhumanity protected by custom and thoughtlessness will succumb before humanity championed by thought. Let us work that this time may come."
"All of my hate cannot be found I will not be drowned by your thoughtless scheming So you can try to tear me down Beat me to the ground I will see you screaming"
"Everything free and decent in life is being locked away in filthy little cellars by beastly people who don’t care."
"There slowly grew up in me an unshakable conviction that we have no right to inflict suffering and death on another living creature unless there is some unavoidable necessity for it, and that we ought all of us to feel what a horrible thing it is to cause suffering and death out of mere thoughtlessness. And this conviction has influenced me only more and more strongly with time. I have grown more and more certain that at the bottom of our heart we all think this, and that we fail to acknowledge it because we are afraid of being laughed at by other people as sentimentalists, though partly also because we allow our best feelings to get blunted. But I vowed that I would never let my feelings get blunted, and that I would never be afraid of the reproach of sentimentalism."
"“Catch-22,” the old woman repeated, rocking her head up and down. “Catch-22. Catch-22 says they have a right to do anything we can’t stop them from doing.” “What the hell are you talking about?” Yossarian shouted at her in bewildered, furious protest. “How did you know it was Catch-22? Who the hell told you it was Catch-22?” “The soldiers with the hard white hats and clubs. The girls were crying. ‘Did we do anything wrong?’ they said. The men said no and pushed them away out the door with the ends of their clubs. ‘Then why are you chasing us out?’ the girls said. ‘Catch-22,’ the men said. ‘What right do you have?’ the girls said. ‘Catch-22,’ the men said. All they kept saying was ‘Catch-22, Catch-22.’ What does it mean, Catch-22? What is Catch-22?” “Didn’t they show it to you?” Yossarian demanded, stamping about in anger and distress. “Didn’t you even make them read it?” "They don’t have to show us Catch-22,” the old woman answered. “The law says they don’t have to.” “What law says they don’t have to?” “Catch-22.”"
"Earnestness is the path of immortality (Nirvana), thoughtlessness the path of death. Those who are in earnest do not die, those who are thoughtless are as if dead already."
"Lamentable mistakes have resulted from the thoughtless enthusiasm with which men have sought inspiration from the worst qualities of remarkable artists because they are unable to reproduce the sublime elements in their work."
"The physicist's concept of nothing—the vacuum... began as empty space—the void... turned into a stagnant ether through which all the motions of the Universe swam, vanished in Einstein's hands, then re-emerged in the twentieth-century quantum picture of how Nature works."
"The quantum revolution showed us why the old picture of a vacuum as an empty box was untenable. ...Gradually, this exotic new picture of quantum nothingness succumbed to experimental exploration... in the form of s, light bulbs and s. Now the 'empty' space itself started to be probed. ...There was always something left: a that permeated every fibre of the Universe."
"The spooky ether was persistent. It took an Einstein to remove it from the Universe. ...Gradually, over the last twenty years, the vacuum has turned out to be more unusual, more fluid, less empty, and less intangible than even Einstein could have imagined. Its presence is felt on the very smallest and largest dimensions over which the forces of Nature act."
"Einstein showed us that the Universe might contain a mysterious form of vacuum energy. ...Last year, two teams of astronomers used Earth's most powerful telescopes... to gather persuasive evidence for the reality of the cosmic . Its effects are dramatic. It is accelerating the expansion of the Universe."
"Newcomen's invention was radically different from that of Savery or any other single person. Papin invented the cylinder and piston as a means for transforming energy into motion. At first he used the explosive force of gunpowder, and later the use of the expansive force of steam, to raise the piston, and then by removing the fire to cause it to fall again. He made no further use of this principle. Savery discovered that the sudden condensation of steam made a vacuum that he utilized to draw up water. His pumps were actually used to drain mines, but were never satisfactory. They had to be placed within the mine to be drained, not over forty feet from the bottom, and then could be used to force up water an additional height of perhaps 100 feet. Beyond this the process must be repeated. ... Newcomen used Papin's cylinder and piston, and Savery's principle of the condensation of steam to produce a vacuum. But unlike Papin he used the expansive force of steam to do his work, and unlike Savery he used a cylinder and piston actuated by alternate expansion and condensation of steam to transform heat into mechanical motion."
"At first [Newcomen] made a double cylinder, using the space between for condensing water. This was not very satisfactory. The vacuum was secured very slowly and imperfectly. ...One day the engine made two or three motions quickly and powerfully. Newcomen immediately examined the cylinder and found a small hole, through which a small jet from the water that was on top of the piston to make it steam tight, was spurting into the cylinder. He... dispensed with the outer water jacket and injected the water for condensation, through a small pipe in the bottom of the cylinder. It... increased the speed of the engine from eight to fifteen strokes a minute, besides getting the advantage of a good vacuum."
"Pascal's Treatise [De la Pesanteur de la Masse de l'Air] on the weight of the whole mass of air forms the basis of the modern science of Pneumatics. In order to prove that the mass of air presses by its weight on all the bodies which it surrounds, and also that it is elastic and compressible, he carried a balloon half filled with air to the top of the Puy de Dome. It gradually inflated itself as it ascended, and when it reached the summit it was quite full, and swollen, as if fresh air had been blown into it; or what is the same thing, it swelled in proportion as the weight of the column of air which pressed upon it was diminished. When again brought down, it became more and more flaccid, and when it reached the bottom, it resumed its original condition. ...[H]e shews that all the phenomena and effects hitherto ascribed to the horror of a vacuum arise from the weight of the mass of air; and after explaining the variable pressure of the atmosphere in different localities, and in its different states, and the rise of water in pumps, he calculates that the whole mass of air round our globe weighs 8,983,889,440,000,000,000 French pounds."
"In a vacuum which is imagined as infinite there cannot be local differences, both on account of its infinity, and also because of the fact that the vacuum, if it exists, would have no nature but a privation, and therefore it can have no natural differences."
"The space of the real physical world must be considered full, that is a plenum, because a vacuum could have no physical existence."
"When the engineers of Cosmo de Medicis wished to raise water higher than thirty-two feet by means of a sucking-pump, they found it impossible to take it higher than thirty-one feet. Galileo, the Italian sage, was applied to in vain for a solution of the difficulty. It had been the belief of all ages that the water followed the piston, from the horror which nature had of a vacuum, and Galileo improved the dogma by telling the engineers that this horror was not felt, or at least not shown, beyond heights of thirty one feet! At his desire, however, his disciple Toricelli investigated the subject. He found, that when the fluid raised was mercury, the horror of a vacuum did not extend beyond 30 inches, because the mercury would not rise to a greater height; and hence he concluded that a column of water 31 feet high, and one of mercury 30 inches, exerted the same pressure upon the same base, and that the antagonist force which counterbalanced them must in both cases be the same; and having learned from Galileo that the air was a heavy fluid, he concluded, and he published the conclusion in 1645, that the weight of the air was the cause of the rise of water to 31 feet and of mercury to 30 inches. Pascal repeated these experiments in 1646, at before more than 500 persons, among whom were five or six Jesuits of the College, and he obtained precisely the same results as Toricelli. The explanation of them, however, given by the Italian philosopher, and with which he was unacquainted, did not occur to him; and though he made many new experiments on a large scale with tubes of glass 50 feet long, they did not conduct him to any very satisfactory results. He concluded that the vacuum above the water and the mercury contained no portion of either of these fluids, or any other matter appreciable by the senses; that all bodies have a repugnance to separate from a state of continuity, and admit a vacuum between them; that this repugnance is not greater for a large vacuum than a small one; that its measure is a column of water 31 feet high, and that beyond this limit, a great or a small vacuum is formed above the water with the same facility, provided no foreign obstacle prevents it. These experiments and results were published by our author in 1647, under the title of Nouvelles Experiences touchant le Vuide; but no sooner had they appeared, than they experienced, from the Jesuits, and the followers of Aristotle, the most violent opposition."
"They... who assert that there is absolutely no vacuum may invent many arguments on this subject, and perhaps seem to discourse most plausibly though they offer no tangible proof. If, however, it be shewn by an appeal to sensible phenomena that there is such a thing as a continuous vacuum, but artificially produced; that a vacuum exists also naturally, but scattered in minute portions ; and that by compression bodies fill up these scattered vacua, those who bring forward such plausible arguments in this matter will no longer be able to make good their ground."
"To these objections Pascal replied in two letters, addressed to [Stephen] Noel; but though he had no difficulty in overturning the contemptible reasoning of his antagonist, he found it necessary to appeal to new and more direct experiments. The explanation of Toricelli had been communicated to him a short time after the publication of his work; and assuming that the mercury in the Toricellian tube was suspended by the weight or pressure of the air, he drew the conclusion that the mercury would stand at different heights in the tube, if the column of air was more or less high. These differences, however, were too small to be observed under ordinary circumstances; and he therefore conceived the idea of observing the mercury at Clermont, a town in Auvergne... and on the top of the Puy de Dome, a mountain 500 toises above Clermont The state of his own health did not permit him to undertake a journey... but in a letter dated the 15th November 1647, he requested his brother-in-law, M. Perier, to go... M. Perier began the experiment by pouring into a vessel sixteen pounds of quicksilver which he had rectified... He then took two [straight] glass tubes, four feet long, of the same bore, and hermetically sealed at one end, and open at the other; and making the ordinary experiment of a vacuum with both, he found that the mercury stood in each of them at the same level... This experiment was repeated twice with the same result. One of these... was left under the care of M. Chastin... who undertook to observe and mark any changes... and the party... set out, with the other tube, for the summit of the Puy de Dome... Upon arriving there, they found that the mercury stood at the height of 23 inches, and 2 lines—no less than 3 inches and 1½ lines lower... The party was "struck with admiration and astonishment at this result;" and "so great was their surprise, that they resolved to repeat the experiment under various forms." During their descent of the mountain, they repeated the experiment at Lafond de l'Arbre, an intermediate station... and they found the mercury to stand at the height of 25 inches, a result with which the party was greatly pleased, as indicating the relation between the height of the mercury and the height of the station. Upon reaching the Minimes, they found that the mercury had not changed its height..."
"Vacuum stands and remains a mathematical space. A cube placed in a vacuum would not displace anything, as it would displace air or water in a space already containing those fluids."
"It is quite easy to include a weight for empty space in the equations of gravity. Einstein did so in 1917, introducing what came to be known as the cosmological constant into his equations. His motivation was to construct a static model of the universe. To achieve this, he had to introduce a negative mass density for empty space, which just canceled the average positive density due to matter. With zero total density, gravitational forces can be in static equilibrium. Hubble's subsequent discovery of the expansion of the universe, of course, made Einstein's static model universe obsolete. ...The fact is that to this day we do not understand in a deep way why the vacuum doesn't weigh, or (to say the same thing in another way) why the cosmological constant vanishes, or (to say it in yet another way) why Einstein's greatest blunder was a mistake."
"The phase transition paradigm: The standard model of fundamental physics incorporates, as one of its foundational principles, the idea that “empty space” or “vacuum” can exist in different phases, typically associated with different amounts of symmetry. Moreover, the laws of the standard model itself suggest that phase transitions will occur, as functions of temperature. Extensions of the standard model to build in higher symmetry (gauge unification or especially supersymmetry) can support effective vacua with radically different properties, separated by great distance or by domain walls. That would be a form of failure of universality, in our sense, whose existence is suggested by the standard model."
"There is one topic I was not sorry to skip: the relativistic wave equation of Dirac. It seems to me that the way this is usually presented in books on quantum mechanics is profoundly misleading. Dirac thought that his equation was a relativistic generalization of the non-relativistic time-dependent that governs the for a in an external electromagnetic field. For some time after, it was considered to be a good thing that Dirac’s approach works only for particles of spin one half, in agreement with the known spin of the electron, and that it entails states, states that when empty can be identified with the electron’s . Today we know that there are particles like the W^\pm W bosons] that are every bit as elementary as the electron, and that have distinct antiparticles, and yet have spin one, not spin one half. The right way to combine relativity and quantum mechanics is through the quantum theory of fields, in which the Dirac wave function appears as the matrix element of a quantum field between a one-particle state and the vacuum, and not as a probability amplitude."
"Some assert that there is absolutely no vacuum; others that, while no continuous vacuum is exhibited in nature, it is to be found distributed in minute portions through air, water, fire and all other substances: and this latter opinion, which we will presently demonstrate to be true from sensible phenomena, we adopt."
"The first machine of Papin was very similar to the gunpowder-engine... of Huyghens. In place of gunpowder, a small quantity of water is placed at the bottom of the cylinder, A; a fire is built beneath it, "the bottom being made of very thin metal," and the steam formed soon raises the piston, B, to the top where a latch, E, engaging a notch in latch engaging the piston rod, H, holds it up until it is desired that it shall drop. The fire being removed, the steam condenses, and a vacuum is formed below the piston, and the latch, E, being disengaged, the piston is driven down by the superincumbent atmosphere and raises the weight which has been, meantime, attached to a rope... passing from the piston rod over pulleys... The machine had a cylinder two and a half inches in diameter, and raised 60 pounds once a minute; and Papin calculated that a machine of a little more than two feet diameter of cylinder and of four feet stroke would raise 8,000 pounds four feet per minute—i.e., that it would yield about one horse-power."