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April 10, 2026
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"As is known, the question of the objectivity or the subjectivity of probability has divided the world of science into two camps. Some maintain that there exist two types of probability, as above, others, that only the subjective exists, because regardless of what is supposed to take place, we cannot have full knowledge of it. Therefore, some lay the uncertainty of future events at the door of our knowledge of them, whereas others place it within the realm of the events themselves."
"The epistemological value of probability theory is based on the fact that chance phenomena, considered collectively and on a grand scale, create non-random regularity."
"No human being can give an eternal resolution to another or take it from him; If someone objects that then one might just as well be silent if there is no probability of winning others, he thereby has merely shown that although his life very likely thrived and prospered in probability and everyone of his undertakings in the service of probability went forward, he has never really ventured and consequently has never had or given himself the opportunity to consider that probability is an illusion, but to venture the truth is what gives human life and the human situation pith and meaning, to venture is the fountainhead of inspiration, whereas probability is the sworn enemy of enthusiasm, the mirage whereby the sensate person drags out time and keeps the eternal away, whereby he cheats God, himself, and his generation: cheats God of the honor, himself of liberating annihilation, and his generation of the equality of conditions."
"They should have known better. The probability of a train derailment was infinitesimal. That meant it was only a matter of time."
"R. A. Fisher, J. Neyman, R. von Mises, W. Feller, and L. J. Savage denied vehemently that probability theory is an extension of logic, and accused Laplace and Jeffreys of committing metaphysical nonsense for thinking that it is."
"There is no Algebraist nor Mathematician so expert in his science, as to place entire confidence in any truth immediately upon his discovery of it, or regard it as any thing, but a mere probability. Every time he runs over his proofs, his confidence increases; but still more by the approbation of his friends; and is raised to its utmost perfection by the universal assent and applauses of the learned world."
"How often have I said to you that when you have eliminated the impossible, whatever remains, however improbable, must be the truth?"
"Probability is too important to be left to the experts. [...] The experts, by their very expert training and practice, often miss the obvious and distort reality seriously. [...] The desire of the experts to publish and gain credit in the eyes of their peers has distorted the development of probability theory from the needs of the average user. The comparatively late rise of the theory of probability shows how hard it is to grasp, and the many paradoxes show clearly that we, as humans, lack a well grounded intuition in the matter. Neither the intuition of the man in the street, nor the sophisticated results of the experts provides a safe basis for important actions in the world we live in."
"My thesis, paradoxically, and a little provocatively, but nonetheless genuinely, is simply this :PROBABILITY DOES NOT EXIST.The abandonment of superstitious beliefs about the existence of Phlogiston, the Cosmic Ether, Absolute Space and Time, ... , or Fairies and Witches, was an essential step along the road to scientific thinking. Probability, too, if regarded as something endowed with some kind of objective existence, is no less a misleading misconception, an illusory attempt to exteriorize or materialize our true probabilistic beliefs."
"Al right. I already see you turning off. I can see you say you don't understand me. You can't understand that it could be chance. "I don't like it!" Tough! I don't like it either, but that's the way it is! Ok? I don't understand it either. ..."It must be that Nature knows that it's going to go up or down." No, it must not be that nature knows! We are not to tell Nature what she's gotta be! That's what we found out. Every time we take a guess as how she's got to be, and go and measure... She's clever. She's always got better imagination than we have, and she finds a cleverer way to do it than we have thought of. And in this particular case, the clever way to do it is by probability, by odds. ...[L]ight works by probability."
"It is a truth very certain that, when it is not in our power to determine what is true, we ought to follow what is most probable"
"Probability is the very guide of life."
"We can sensibly build science policy only upon the consensus of the scientific community. This is not a bright line, but it is the only line we have. As a result, we need to be careful about demarcation, to notice how we do it and why we do it, and stop striving for a goal of universal eradication of the fringe that is frankly impossible. We need to learn what we are talking about when we talk about pseudoscience."
"The term âpseudoscienceâ has become little more than an inflammatory buzzword for quickly dismissing oneâs opponents in media sound-bites. ⌠When therapeutic entrepreneurs make claims on behalf of their interventions, we should not waste our time trying to determine whether their interventions qualify as pseudoscientific. Rather, we should ask them: How do you know that your intervention works? What is your evidence?"
"Through certain vagaries of history, some of which I have alluded to here, we have managed to conflate two quite distinct questions: What makes a belief well founded (or heuristically fertile)? And what makes a belief scientific? The first set of questions is philosophically interesting and possibly even tractable; the second question is both uninteresting and, judging by its checkered past, intractable. If we would stand up and be counted on the side of reason, we ought to drop terms like "pseudo-science" and "unscientific" from our vocabulary; they are just hollow phrases which do only emotive work for us. As such, they are more suited to the rhetoric of politicians and Scottish sociologists of knowledge than to that of empirical researchers. Insofar as our concern is to protect ourselves and our fellows from the cardinal sin of believing what we wish were so rather than what there is substantial evidence for (and surely that is what most forms of "quackery" come down to), then our focus should be squarely on the empirical and conceptual credentials for claims about the world. The "scientific" status of those claims is altogether irrelevant.""
"The problem of demarcation between science and pseudoscience has grave implications also for the institutionalization of criticism. Copernicusâs theory was banned by the Catholic Church in 1616 because it was said to be pseudoscientific. It was taken off the index in 1820 because by that time the Church deemed that facts had proved it and therefore it became scientific. The Central Committee of the Soviet Communist Party in 1949 declared Mendelian genetics pseudoscientific and had its advocates, like Academician Vavilov, killed in concentration camps; after Vavilovâs murder Mendelian genetics was rehabilitated; but the Partyâs right to decide what is science and publishable and what is pseudoscience and punishable was upheld. The new liberal Establishment of the West also exercises the right to deny freedom of speech to what it regards as pseudoscience, as we have seen in the case of the debate concerning race and intelligence. All these judgments were inevitably based on some sort of demarcation criterion. And this is why the problem of demarcation between science and pseudoscience is not a pseudo-problem of armchair philosophers: it has grave ethical and political implications."
"'Tis strange how like a very dunce, Man, with his bumps upon his sconce, Has lived so long, and yet no knowledge he Has had, till lately, of Phrenologyâ A science that by simple dint of Head-combing he should find a hint of, When scratching o'er those little pole-hills The faculties throw up like mole hills."
"Understanding the scientific fringe as a necessary shadow of the professional scientific consensus not only emphasizes the intimate connection between the sciences and those doctrines variously labeled pseudosciences, it also refocuses our attention on the causes of the phenomenon. When someone makes shadow puppets on the wall, our eyes are naturally drawn to the striking, cleanly outlined shapes of rabbits and ducks, but that is not where the action is. Similarly, I suggest the pseudosciences are not real in themselves; they are defined by external projection. The important thing to watch is not the shadow, but the hand. It not only is the source of the shadows; it is also the more fascinating and complex phenomenon of the two. The fringe not only shadows the core, it is continuous with it, and the most effective way to deal with attacks from the latter is to ensure that the former is in good working order."
"There is an important lesson in this. All so-called pseudoscientists believe they are simply scientists, albeit ones with heterodox views marginalized by the mainstream. (They aren't necessarily rightâmany people have mistaken self-conceptions.) But to be a scientist, you need to behave like one, and one thing scientists do constantly is, well, demarcate. Velikovsky and his peers knew there was an edge to legitimate science, and they policed it very carefully, just like "establishment" scientists did and continue to do. I have come to think of pseudoscience as science's shadow. A shadow is cast by something; it has no substance of its own. The same is true for these doctrines on the fringe. If scientists use some criterion such as peer review to demarcate, so will the fringe (creationists have peer-reviewed journals, as did Velikovskians). The brighter the light of scienceâthat is, the greater its cultural prestige and authorityâthe sharper the shadow, and the more the fringe flourishes."
"As long as we have science, we will have a process of demarcation that happens every day in the laboratories, field sites, and classrooms of the world. Scientists will decide that some claims are relevant for their research and that some doctrines are notâsometimes so much so that they will be dubbed âpseudoscientific.â This is inevitable, and it is ineradicable. Scientists will always demarcate, because part of what science is is an exclusion of some domains as irrelevant, rejected, outdated, or incorrect. And the more successful science becomes, the more outsiders will want to participate in the process. Some of these will be hailed as brilliant; some others will be run out of town on a rail; most will simply sink without a trace. âPseudoscienceâ is not some invasive pathogen that has contaminated contemporary science but that can be fully expunged from the organism with more scientific literacy or better peer review. Pseudoscience is the shadow of science; it is cast by science itself through the very fact that demarcation happens. If pseudoscience is inevitable, then combating it becomes problematic. Either the combatants resemble Sisyphus, pushing the rock up the hill only to have it tumble back down again, or the Ăsir, battling the forces of darkness that besiege Valhalla at RagnarĂśk (and eventually losing)."
"âPseudoscienceâ is an empty category, a term of abuse, and there is nothing that necessarily links those dubbed pseudoscientists besides their separate alienation from science at the hands of the establishment."
"Although pseudoscience is a fairly common epithet, it is not exactly universal. Scientists do not just call anything they do not like âpseudoscience.â They are perfectly happy to declare many of their peersâ work to be âbadâ or âsubstandardâ science. âPseudoscienceâ is used in a targeted way, at certain times, and against specific enemies. This implies that there is no unified pseudoscience; the various doctrines labeled âpseudosciencesâ over the last two centuries actually have very little in common with one another besides being hated by assorted scientists."
"Using the term pseudoscience, then, leads to unnecessary polarization, mistrust, disrespectfulness, and confusion around science issues. Everyoneâespecially scientists, journalists, and science communicatorsâwould better serve science by avoiding it."
"A good rule of thumb for diagnosing an activity as pseudoscientific is the existence of ad hoc explanations: âmy telepathic powers arenât working today because of a force field emanating from the hostile talk-show host.â There are no âbad-gravity daysâ and there are no days when your TV set stops working because electromagnetic waves feel hostility."
"During all those years of experimentation and research, I never once made a discovery. All my work was deductive, and the results I achieved were those of invention, pure and simple. I would construct a theory and work on its lines until I found it was untenable. Then it would be discarded at once and another theory evolved. This was the only possible way for me to work out the problem. ⌠I speak without exaggeration when I say that I have constructed 3,000 different theories in connection with the electric light, each one of them reasonable and apparently likely to be true. Yet only in two cases did my experiments prove the truth of my theory. My chief difficulty was in constructing the carbon filament. . . . Every quarter of the globe was ransacked by my agents, and all sorts of the queerest materials used, until finally the shred of bamboo, now utilized by us, was settled upon."
"When one is doing research, the trick is always to find a problem easy enough for you to make progress, but hard enough that it's worthwhile to make progress."
"Sports and top-quality research have much in common. The best stars of each are young, not middle-aged, though occasionally someone older than forty can still be a formidable force either across the net or at the blackboard. No one can long remain a science manager unless constantly on the prowl for talented rookies able to move the game to the next level. Research institutions that let the average age of their staff creep up inevitably become dull places. Lowering your average age by constructing new buildings to create more space, however, is not the way to go. If the older buildings are not exuding vitality, they become mere financial drains. Equally important, good managers see the need to retire scientists who are no longer hitting s. Only individuals who continually reinvent themselves through new ways of thinking should enter middle age still part of your staff."
"The worst thing happens when ideologists are trying to analyse scientific researches."
"... my experimental results were slow in coming and it was a long time before I had enough data to publish a paper. And despite all my effort, I was merely scratching the surface of a biological system. Basic research had become so complex: No one cared if in a certain disease you discovered that some protein in the blood was either high or low. The question being asked was what gene was controlling this protein? And how quickly could you it? Science had gone molecular. An investment a couple of years after fellowship training was necessary just to learn the methodology of ."
"Hail, follow, well met, All dirty and wet: Find out, if you can, Who's master, who's man."
"Research is something that everyone can do, and everyone ought to do. It is simply collecting information and thinking systematically about it. The word âresearchâ carries overtones of abstruse statistics and complex methods, white coats and computers. Some social research is highly specialised but most is not; much of the best research is logically very straightforward. Useful research on many problems can be done with small resources, and should be a regular part of the life of any thoughtful person involved in social action."
"It is a good thing for a research scientist to discard a pet hypothesis every day before breakfast."
"In the course of describing my formative moment in 1978, I have already implicitly given my four basic rules for research. Let me now state them explicitly, then explain. Here are the rules:1. Listen to the Gentiles 2. Question the question 3. Dare to be silly 4. Simplify, simplify"
"Research is formalized curiosity. It is poking and prying with a purpose. It is a seeking that he who wishes may know the cosmic secrets of the world and they that dwell therein."
"Nothing has such power to broaden the mind as the ability to investigate systematically and truly all that comes under thy observation in life."
"Attempt the end and never stand to doubt; Nothing's so hard but search will find it out."
"The bottom of being is left logically opaque to us, a datum in the strict sense of the word, something we simply come upon and find, and about which (if we wish to act) we should pause and wonder as little as possible. In this confession lies the lasting truth of empiricism."
"It is usually a good idea to bear in mind the distinction between philosophy and an empirical science such as psychology. I once received a valuable lesson in this. A very distinguished astronomer visited the Department of Philosophy in Princeton and gave us a lecture entitled âAn Astronomerâs Philosophy.â We philosophers were delighted. And I in my enthusiasm offered to reciprocate by giving a lecture to the astronomers which was to be entitled âA Philosopherâs Astronomy.â But this proposal was received by the astronomers with marked coldness."
"Philosophy ⌠lost its prestige to the extent that it lost its evident advantage in cleverness to "normal life." In the transition from archaic teachings of wisdom to philosophy based on argument, it itself was engulfed in the twilight of alienation from life. It had to accept that the independent cleverness theories of pragmatics, economics, strategy, and politics proved themselves to be its better, until, with its logical niceties, it became infantile and academic, and stood there as the Utopian idiot with its reminiscences about great ideals. Today philosophy is surrounded on all sides by maliciously clever empiricisms and realistic disciplines that "know better.""
"British historians are notoriously suspicious of philosophical reflections about the nature of their craft. The charge is no doubt exaggerated, but it is hard to deny that they have sometimes gloried in presenting themselves as straightforward empiricists for whom the proper task of the historian is simply to uncover the facts about the past and recount them as objectively as possible."
"If an object does exist on the strength of consciousness, how does one arrive at the existence of consciousness? If the existence of consciousness is established on the strength of the existence of the object of which it is conscious, how does one arrive at the existence of the object? If they exist on the strength of each other's existence, neither of the two can exist."
"The difference in method, here, may be characterized as follows: in Locke and Hume, a comparatively modest conclusion is drawn from a broad survey of facts, whereas in Leibniz, a vast edifice of deduction is pyramided upon a pin-point of logical principle. In Leibniz, if the principle is completely true and the deductions are entirely valid, all is well; but the structure in unstable, and the slightest flaw anywhere brings it down in ruins. In Locke and Hume, on the other contrary, the base of the pyramid is on the solid ground of observed fact, and the pyramid tapers upward, not downward; consequently the equilibrium is stable, and a flaw here and there can be rectified without total disaster. This difference of method survived Kant's attempt to incorporate something of the empirical philosophy: from Descartes to Hegel on the one side, and from Locke to John Stuart Mill on the other, it remains unvarying."
"Until the publication of Kant's Critique of Pure Reason in 1781, it might have seemed as if the older philosophical tradition of Descartes, Spinoza, and Leibniz were being definitely overcome by the newer empirical method. The newer method, however, had never prevailed in German universities, and after 1792 it was held responsible for the horrors of the Revolution. Recanting revolutionaries such as Coleridge found in Kant an intellectual support for their opposition to French atheism. The Germans, in their resistance to the French, were glad to have a German philosophy to uphold them. Even the French, after the fall of Napoleon, were glad of any weapon against Jacobinism. All these factors favored Kant."
"Empiricism and idealism alike are faced with a problem to which, so far, philosophy has found no satisfactory solution. This is the problem of showing how we have knowledge of other things than ourself and the operations of our own mind."
"The word 'definition' has come to have a dangerously reassuring sound, owing no doubt to its frequent occurrence in logical and mathematical writings.""
"Our argument is not flatly circular, but something like it. It has the form, figuratively speaking, of a closed curve in space."
"The radical empiricist onslaught... provides the methodological justification for the debunking of the mind by the intellectualsâa positivism which, in its denial of the transcending elements of Reason, forms the academic counterpart of the socially required behavior."
"There's a tremendous popular fallacy which holds that significant research can be carried out by trying things. Actually it is easy to show that in general no significant problem can be solved empirically, except for accidents so rare as to be statistically unimportant. One of my jests is to say that we work empirically â we use bull's eye empiricism. We try everything, but we try the right thing first!"
"If it were so, as conceited sagacity, proud of not being deceived, thinks, that we should believe nothing that we cannot see with our physical eyes, then we first and foremost ought to give up believing in love. ... We can be deceived by believing what is untrue, but we certainly are also deceived by not believing what is true. ... Which deception is more dangerous?"
"'Pure experience' is the name I gave to the immediate flux of life which furnishes the material to our later reflection with its conceptual categories."