First Quote Added
April 10, 2026
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"What renders a problem definite, and what leaves it indefinite, may best be understood from mathematics. The very important idea of solving a problem within limits of error is an element of rational culture, coming from the same source. The art of totalizing fluctuations by curves is capable of being carried, in conception, far beyond the mathematical domain, 65 where it is first learned. The distinction between laws and coefficients applies in every department of causation. The theory of Probable Evidence is the mathematical contribution to Logic, and is of paramount importance."
"Those that can readily master the difficulties of Mathematics find a considerable charm in the study, sometimes amounting to fascination. This is far from universal; but the subject contains elements of strong interest of a kind that constitutes the pleasures of knowledge. The marvellous devices for solving problems elate the mind with the feeling of intellectual power; and the innumerable constructions of the science leave us lost in wonder."
"[U]niversities... have gradually allowed to fall into disuse the powerful means which they possess of rousing the pupil to exertion, and have been too often content to act as mere oral instruments of information..."
"Strictly speaking, every one must educate himself."
"[I]nstruction is only instruction as it enables us to teach ourselves."
"The intellect," says Aquinas, "commences in operation, and in operation it ends..."
"The intellect," says Aristotle... "is perfected, not by knowledge but by activity..." and... "The arts and sciences are powers, but every power exists only for the sake of action; the end of philosophy... is not knowledge, but the energy conversant about knowledge."
"Scotus... declares that a man’s knowledge is measured by the amount of his mental activity..."
"On this ground I would rest one of the pre-eminent utilities of mental philosophy. That it comprehends all the sublimest objects of our theoretical and moral interest; that every (natural) conclusion concerning God, the soul, the present worth and the future destiny of man, is exclusively deduced from the philosophy of mind, will be at once admitted."
"[T]he paramount end of liberal study is the development of the student’s mind, and... knowledge is principally useful as a mean of determining the faculties to that exercise, through which this development is accomplished... the main duty of a Professor to consist not simply in communicating information, but in doing this in such a manner... that the information he conveys may be the occasion of awakening his pupils to a vigorous and varied exertion of their faculties."
"Plato defines man "the hunter of truth," "for science is a chase, and in a chase the pursuit is always of greater value than the game.""
"The instructor... does not profess to teach philosophy, but to philosophise."
"[T]he sciences always studied with keenest interest are those in a state of progress and uncertainty: absolute certainty and absolute completion would be the paralysis of any study; and the last worst calamity that could befall man... would be that full and final possession of speculative truth, which he now vainly anticipates as the consummation of his intellectual happiness."
""Sordet cognita veritas" is a shrewd aphorism of Seneca. A truth, once known, falls into comparative insignificance."
"In life," as the great Pascal observes, "we always believe that we are seeking repose, while, in reality, all that we ever seek is agitation."
"The one condition under which all powers, and consequently the intellectual faculties, are developed, is exercise."
"The question—Is Truth, or is the Mental Exercise in the pursuit of truth, the superior end?—this is perhaps the most curious theoretical, and certainly the most important practical, problem in the whole compass of philosophy."
"The past does not interest, the present does not satisfy, the future alone is the object which engages us."
"[I]n the very term Philosophy... the man who first declared that he was not a... possessor, but a... seeker of truth, at once enounced the true end of human speculation, and embodied it in a significant name."
"However arid and uninviting the prospect of a History of Medicine may appear at a distance, it will be found gradually to improve, and become full of interest wonder and animation as we proceed. ...The History of Medicine is ...the history of the human species, uncontaminated by those civil discords and fearful atrocities, those crimes and disorders which blot the page of other histories, and stamp man, created in the image of his maker, with the visage of a fiend and the heart of a brute. The History of Medicine, on the contrary, is the history of peace and good will, of endless harmony, and unceasing philanthropy. Instead of recording the desolations of war, and the growth of immorality—the deadly effects of human passions, and the bloody triumphs of senseless ambition—her province is to note the diminution of mortal suffering; and the only triumphs which she records are those obtained over sickness, death, and Sorrow."
"The discovery of the art of Printing unbarred afresh the gates of Heaven, and let in that flood of light, of knowledge, and of wisdom, which enabled men to emancipate themselves again from the slavery of superstition—to take their proper place in the ranks of created beings—and in ennobling themselves, in gradually exalting their understandings and amending their hearts, to pay at length the worthiest homage to the goodness of their common Parent, and prove themselves to be—as the Almighty himself originally formed them—inferior only to the Angels."
"Analysis and synthesis, though commonly treated as two different methods, are, if properly understood, only the two necessary parts of the same method. Each is the relative and correlative of the other. Analysis, without a subsequent synthesis, is incomplete; it is a mean cut off from its end. Synthesis, without a previous analysis, is baseless; for synthesis receives from analysis the elements which it recomposes."
"The primary principle of education is the determination of the pupil to self-activity — the doing nothing for him which he is able to do for himself."
"Be sober, and to doubt prepense, These are the sinews of good sense."
"Truth like a torch, the more 'tis shook, it shines."
"loquimur de materia "circa quam" est scientia, quae dicitur a quibusdam subiectum scientiae, uel magis proprie obiectum, sicut et illud circa quod est uirtus dicitur obiectum uirtutis proprie, non subiectum. De isto autem obiecto huius scientiae ostensum est prius quod haec scientia est circa transcendentia; ostensum est autem quod est circa altissimas causas. Quod autem istorum debeat poni proprium eius obiectum, uariae sunt opiniones. Ideo de hoc quaeritur primo utrum proprium subiectum metaphysicae sit ens in quantum ens (sicut posuit Auicenna) uel Deus et Intelligentiae (sicut posuit Commentator Auerroes.)"
"There had been implanted along through the ages germs of another growth in human thinking, some of them even as early as the Babylonian period. In the Assyrian inscriptions we find recorded the Chaldeo-Babylonian idea of an evolution of the universe out of the primeval flood or "great deep," and of the animal creation out of the earth and sea. This idea, recast, partially at least, into monotheistic form, passed naturally into the sacred books of the neighbors and pupils of the Chaldeans—the Hebrews; but its growth in Christendom afterward was checked, as we shall hereafter find, by the more powerful influence of other inherited statements which appealed more intelligibly to the mind of the Church...In the minds of Ionians like Anaximander and Anaximenes it was most clearly developed: the first of these conceiving of the visible universe as the result of processes of evolution, and the latter pressing further the same mode of reasoning, and dwelling on agencies in cosmic development recognized in modern science. ...Aristotle sometimes developed it in a manner which reminds us of modern views. ...Lucretius caught much from it extending the evolutionary process virtually to all things. ...Scotus Erigena and Duns Scotus, among the schoolmen, bewildered though they were, had caught some rays of this ancient light, and passed on to their successors, in modified form, doctrines of an evolutionary process in the universe. ...In the latter half of the sixteenth century these evolutionary theories seemed to take more definite form in the mind of Giordano Bruno... but with his murder by the Inquisition at Rome this idea seemed utterly to disappear."
"I say that some things can be said to belong to the law of nature in two ways: One way is as first practical principles known from their terms or as conclusions necessarily entailed by them. These are said to belong to the natural law in the strictest sense, and there can be no dispensation in their regard... But this is not the case when we speak in general of all the precepts of the second table. For the reasons behind the commands and prohibitions there are not practical principles that are necessary in an unqualified sense, nor are they simply necessary conclusions from such. For they contain no goodness such as is necessarily prescribed for attaining the goodness of the ultimate end, nor in what is forbidden is there such malice as would turn one away necessarily from the last end, for even if the good found in these [precepts] were not commanded, the ultimate end could still be loved and attained, whereas if the evil proscribed by them were not forbidden, it would still be consistent with the acquisition of the ultimate end."
"sic: si omnes homines natura scire desiderant, ergo maxime scientiam maxime desiderabunt. Ita arguit Philosophus I huius cap. 2. Et ibidem subdit: "quae sit maxime scientia, illa scilicet quae est circa maxime scibilia". Maxime autem dicuntur scibilia dupliciter: uel quia primo omnium sciuntur sine quibus non possunt alia sciri; uel quia sunt certissima cognoscibilia. Utroque autem modo considerat ista scientia maxime scibilia. Haec igitur est maxime scientia, et per consequens maxime desiderabilis."
"The fundamental optimism which is an element of all true nobility … is obviously related to courage since it refuses to be discouraged in the face of what sometimes seems overwhelming evidence."
"Optimism draws its strength from what it perceives as the underlying themes of human life rather than from the incidental if frequent and hateful discords of particular notes—from the depth and persistence of dreams compared with the sheer meaninglessness of the miscellaneous evils which may mark our daily experience."
"The patrician is recognizable by his passionate idealism. … The material content of our experiences and achievements has value for him only to the extent that it enshrines symbols of beauty and grandeur. He judges events and actions less by their material and social efficacy than by the qualities of mind and character to which they bear witness, because this is where he holds that their truth is to be found, in the romantic kingdom of irrevocable moral fidelities rather than in the calculating republic of material probabilities."
"Dear, very dear, to himself, he [the plebeian] would be hard put to say anything about this self which would explain why he, or anyone, should hold it dear, since he never does, says or thinks anything which might distinguish him from the millions of his fellow plebeians, whom he spends his life imitating and who in turn are spending their lives imitating one another. What he wants is for others to lead his life for him. Avoiding every occasion on which the finger of responsibility might point to him, he seeks what Kierkegaard calls ‘the most ruinous evasion of all … to be hidden in the crowd’."
"One of the most prevalent fallacies is the so-called genetic fallacy, which tempts men to argue that the first lowly origins of a thing demonstrate what it essentially is even in its most highly developed forms. Psychoanalysis and anthropologists have sometimes specialized in tracing the golden fruits to their grubby roots, and they have had some success in convincing the credulous that greatness is only triviality writ large. A kindred fallacy—which to state is to expose—teaches that the surest way of understanding a type is to inspect its poorest instances."
"The true rebel … may incidentally lend his support to this or that finitely realizable cause, but his unique vocation is to keep the rebellious consciousness alive. In his eyes the crucial feature of any cause is the degree to which it fosters the spirit of private defiance."
"Rebellion is a way of being alive. A consciousness of evil, needful to be combated … is one of our most vivid forms of consciousness. If evil did not exist we should have to invent it, as indeed we do in works of the imagination. … A man who had never rebelled would be a man who did not know what it was to be alive."
"Success necessarily emasculates the spirit of rebellion. From the point of view of the true rebel the noblest cause is a lost cause."
"The plebeian … will return [after a traumatic event] to his life of transient surface meanings, still deaf and blind to the deeper symbolisms with which his experience is fraught and to everything that does not thrust itself peremptorily upon his material senses."
"The direction in which to look for the patrician is always upwards. This is because his nature is to aspire, to rise always higher—not necessarily to rise above others but to rise above where he himself has been and above things as he finds them."
"There are individuals who are haunted by self-doubt, whose attitude to life is negative and distrustful, or who exist in a state of confusion about what they are and what they can become. … Unlike physical deprivation or obvious social injustice, evils like these strike at the very roots of human life. When men can no longer picture themselves as worthy of existing, it scarcely matters whether they have the means of existing."
"Scholars and philosophers frequently place additional limits to the definition [of education]. Paterson (1979) for example observes that education is clearly the concept of some kind of positive activity. It is an activity because it is perceived to be the kind of things that does not just happen to a person."
"Artist, philosopher, lover, mystic—these words name levels of consciousness which are accessible to all of us. It is not a question of training, education, or degree of sophistication. It is rather a question of openness, of courage and endeavour, of willingness to dwell elsewhere than in the midst of demeaning preoccupations with material fortune, status, and power."
"Self-distrustful and suspicious of life, the plebeian is nevertheless not wholly deaf to the fancies which rap and knock at his soul, though he forbids them entry. Focusing on what he regards as hard practical matters—his income, work, health, social position, housing, and the extent and security of his physical possessions—he nevertheless dimly feels that he has been cheated of something he cannot precisely define because it springs from values—sacrifice, endurance, commitment, responsibility, faith, a cleaving unto what is truly good and beautiful—which disturb him by the very magnitude of the horizons they unroll, and in which, fearfully, he cannot bring himself to believe. They demand from him a reversal in the whole course on which he has set his life, and it is safer and easier for him to thrust these ambiguous and uncertain promises and challenges into the far off limbo of his paraconscious, into the studiously forgotten regions of his self where they will not perpetually remind him of how little he has in fact gained and how much he may have lost. Yet here they are, and too often emerge as unwelcome visitants, for example when he reads of or perhaps actually meets some other human being who has surrendered material security for a life spent in the pursuit of knowledge, artistic creation, or adventure."
"The situations we encounter in life can be subjected to the scrutiny of what we might call our administrative consciousness, which deals with those aspects of our existence which are overt, palpable, manageable by the well-tried techniques of our practical intelligence, and nearly always trivial when judged as elements in our ultimate well-being. Or they can be subjected to the more searching scrutiny of our fuller and more intense consciousness, which recognizes that … the data of sense for the most part function as cues soliciting our creative contribution as agents who schematize, conceptualize, and evaluate everything that lies before us; that we build our freshly given materials into a definite meaningful panorama by enfolding them within other, richer materials drawn from the many reservoirs of memory and structured by our ceaselessly effectual imagination; and that this whole creative activity can terminate either in a turning towards those experiences and images which symbolize possibilities of truer fulfilment at the cost of greater challenge, effort, and risk, or a turning away from these to seek refuge in the narrower but safer confines of standardized external meaning from which every reminder of existential depth and personal trial has been carefully pruned."
"There are two kinds of danger awaiting the individual who stakes his life on the conviction that the symbols of romance and grandeur which summon him express ultimate realities wherein he can truly find himself. It may be that our dreams are no more than the pathetic illusions of creatures who are driven by various biological, psychological, and social causes to deceive themselves about their actual status in the scheme of things, and therefore that the patrician’s commitments to ideals of glory and majesty are no better than empty posturings. He may be relinquishing this world’s goals for pathways which lead nowhere. Yet even if this were so, he could still give the reply made by Pascal in recommending his Wager: ‘if you lose, you lose nothing’; for the patrician has already judged that worldly pleasure and profit, if devoid of all higher significance, are not worth having."
"… the plebeian tendency to become engrossed with the means and to avert one’s eyes from the end"
"For many years the best minds in moral philosophy have been less concerned with the content of morality than with its form, less with the actual truth of our many value judgements than with their logical standing."
"Sceptics often make much of the alleged mysteriousness of values—by which, however, they mean little more than that they are claimed to be essentially different from all classes of physical objects and properties, mental states and properties, historical facts, mathematical theorems, scientific concepts, or whatever. In other words, their objection is simply that values are claimed to be of their nature different everything which is not of its nature a value."
"It is nether fortune, status, nor power, nor even intellect, which marks out the Patrician, but intensity of consciousness and the resolve to pursue only what is truly worth pursuing."
"There are hells into which we can fall, as well as heavens to which we can climb, when we take with absolute seriousness the invitations and avowals which are wafted to us across the paraconscious. And so the plebeian of soul, fearing what may befall him if he hearkens too closely, stops his ears to these siren enchanters calling through the mist. He might hear heavenly music, but he might be summoned to his death. Neither does Ulysses desire destruction, and he takes steps to guard against the entire bewitchment of his intelligence by the magic voices which are singing their song to him. We must preserve our critical faculties when we listen to the call of our dreams."