Academics From Germany

"All there is to thinking is seeing something noticeable, which makes you see something you weren't noticing, which makes you see something that isn't even visible."

"The Euthyphron then gives us a two-fold presentation of piety. First, a discussion of what piety is. Secondly, a presentation of the problem of Socrates' piety."

"The Euthyphron is a very paradoxical dialogue. So indeed is every Platonic dialogue."

"For Strauss, modern political philosophy is a reaction to ancient political philosophy, the result of a direct confrontation with political reality itself. By drawing a sharp distinction between the ancients and the moderns, he clears the way for an attack on the contemporary preference for modern political philosophy. He admits that to seek today simply to imitate classical political philosophy would be neither feasible nor desirable, since new situations call for fresh approaches to things political; but he sees a return to the premodern classics as a necessary precondition of the elaboration of a political philosophy relevant to contemporary problems."

"In order to see the relation between philosophy as rigorous science and the alternative to it clearly, one must look at the political conflict between the two antagonists, i.e. at the essential character of that conflict."

"Nietzsche is never boring. He is always interesting, exciting, thrilling, glittering, breathtaking. He possesses a kind of brilliance and tempo which I believe was unknown in former times."

"Dogmatism as Nietzsche means it implies that one possesses the truth, or at least the most important or the most valuable truth. Yet the truth is elusive like that woman of whom he spoke at the very beginning. Elsewhere he says we are the first generation which no longer believes that it possesses the truth. That is what he means by the end of dogmatism."

"Political philosophy was concerned with the best or just order of society which is by nature best or just everywhere or always, while politics is concerned with the being and well-being of this or that particular society (a polis, a nation, an empire) that is in being at a given place for some time."

"It is safer to try to understand the low in the light of the high than the high in the light of the low. In doing the latter one necessarily distorts the high, whereas in doing the former one does not deprive the low of the freedom to reveal itself as fully as what it is."

"Only a great fool would call the new political science diabolic: it has no attributes peculiar to fallen angels. It is not even Machiavellian, for Machiavelli's teaching was graceful, subtle, and colorful. Nor is it Neronian. Nevertheless one may say of it that it fiddles while Rome burns. It is excused by two facts: it does not know that it fiddles, and it does not know that Rome burns."

"For a philosophy based on faith is no longer philosophy. Perhaps it was this unresolved conflict which has prevented Western thought from ever coming to rest. Perhaps it is this conflict which is at the bottom of a kind of thought which is philosophic indeed but no longer Greek: modern philosophy. It is in trying to understand modern philosophy that we come across Machiavelli. Machiavelli is the only political thinker whose name has come into common use for designating a kind of politics, which exists and will continue to exist independently of his influence, a politics guided exclusively by considerations of 'expediency, which uses all means, fair or foul, iron or poison, for achieving its ends-its end being the ag­grandizement of one's country or fatherland-but also using the father­ land in the service of the self-aggrandizement of the politician or statesman or one's party."

"Political philosophy has lost its credibility in proportion as politics itself has become more philosophic than ever in a sense."

"We cannot exert our understanding without from time to time understanding something of importance; and this act of understanding may be accompanied by the awareness of our understanding, by the understanding of understanding, by noesis noesos, and this is so high, so pure, so noble an experience that Aristotle could ascribe it to his God."

"By becoming aware of the dignity of the mind, we realize the true ground of the dignity of man and therewith the goodness of the world, whither we understand it as created or uncreated, which is the home of man because it is the home of the human mind."

"Liberal education, which consists in the constant intercourse with the greatest minds, is a training in the highest form of modesty. … It is at the same time a training in boldness. … It demands from us the boldness implied in the resolve to regard the accepted views as mere opinions, or to regard the average opinions as extreme opinions which are at least as likely to be wrong as the most strange or least popular opinions"

"The facile delusions which conceal from us our true situation all amount to this: that we are, or can be, wiser than the wisest men of the past. We are thus induced to play the part, not of attentive and docile listeners, but of impresarios and lion-tamers."

"Liberal education is liberation from vulgarity. The Greeks had a beautiful word for “vulgarity”; they called it apeirokalia, lack of experience in things beautiful. Liberal education supplies us with experience in things beautiful."

"Machiavelli is not concerned with how men do live merely in order to describe it; his intention is rather, on the basis of knowledge of how men do live, to teach princes how they ought to rule and even how they ought to live."

"A mass culture is a culture which can be appropriated by the meanest capacities without any intellectual or moral effort whatsoever. … Liberal education is the counterpoison to mass culture, to the corroding effects of mass culture, to its inherent tendency to produce nothing but “specialists without spirit or vision and voluptuaries without heart.”"

"Liberal education is the necessary endeavor to found an aristocracy within democratic mass society."

"Liberal education reminds those members of a mass democracy who have ears to hear, of human greatness."

"It was once said that democracy is the regime that stands or falls by virtue: a democracy is a regime in which all or most adults are men of virtue, and since virtue seems to require wisdom, a regime in which all or most adults are virtuous and wise, or the society in which all or most adults have developed their reason to a high degree, or the rational society. Democracy, in a word, is meant to be an aristocracy which has broadened into a universal aristocracy. … There exists a whole science—the science which I among thousands of others profess to teach, political science—which so to speak has no other theme than the contrast between the original conception of democracy, or what one may call the ideal of democracy, and democracy as it is. … Liberal education is the ladder by which we try to ascend from mass democracy to democracy as originally meant."

"Life is too short to live with any but the greatest books."

"In our time scholars generally study the Bible in the manner in which they study any other book. As is generally admitted, Spinoza more than any other man laid the foundation for this kind of Biblical study."

"“Culture” means … the cultivation of the mind, the taking care and improving of the native faculties of the mind in accordance with the nature of the mind. Just as the soil needs cultivators of the soil, the mind needs teachers. But teachers are not as easy to come by as farmers. The teachers themselves are pupils and must be pupils. But there cannot be an infinite regress: ultimately there must be teachers who are not in turn pupils. Those teachers who are not in turn pupils are the great minds."

"Education to perfect gentlemanship, to human excellence, liberal education consists in reminding oneself of human excellence, of human greatness."

"It is as absurd to expect members of philosophy departments to be philosophers as it is to expect members of art departments to be artists."

"We somehow believe that our point of view is superior, higher than those of the greatest minds—either because our point of view is that of our time, and our time, being later than the time of the greatest minds, can be presumed to be superior to their times; or else because we believe that each the greatest minds was right from his point of view, but not, as he claims, simply right."

"Grace is everywhere as an active orientation of all created reality toward God, though God does not owe it to any creature to give it this special orientation. Grace does not happen in isolated instances here and there in an otherwise profane and graceless world. It is legitimate, of course, to speak of grace-events which occur at discrete points in space and time. But then what we are really talking about is the existential and historical acceptance of this grace by human freedom. … Grace itself … is everywhere and always, even though a human being's freedom can sinfully say no to it, just as a human being's freedoms can protest against humankind itself. This immanence of grace in the conscious world always and everywhere does not take away the gratuity of grace, because God's immediacy out of self-giving love is not something anyone can claim as his or her due. The immanence of grace always and everywhere does not make salvation history cease to be history, because history is the acceptance of grace by the historical freedom of human beings and the history of spirit coming ever more to itself in grace."

"The devout Christian of the future will either be a 'mystic', one who has 'experienced' something, or he will cease to be anything at all."

"The real argument against Christianity is the experience of life, this experience of darkness. And I have always observed that the elemental force and the arbitrary prejudgment which lie behind the technical arguments of the learned — or rather of individual learned men — against Christianity always spring from these ultimate experiences of existence which plunge mind and heart into darkness, fatigue and despair."

"This is what has Gropius the director made the w:Bauhaus famous. Not its lamps or its furniture. They are all out of fashion already. But the way of approaching formal problems or material as such, that has made it famous. And the emphasis on material, especially its capacity is my contribution. That was never cleared between us teachers: Kandinsky did what he thought should be done. Klee developed an absolutely different method. Schlemmer developed absolutely something else."

"The ultimate goal of all visual artistic activity is construction! Architects, painters and sculptors must learn again to know and understand the multi-faceted form of building in its entirety as well as its parts. Only then will they of their own accord fill their works with the architectonic spirit they have lost in the art of the salon. Let us establish a new guild of craftsmen without the presumption of class distinctions building a wall of arrogance between craftsmen and artists. Together let us call for, devise and create the construction of the future, comprising everything in one form: architecture, sculpture and painting."

"Art itself cannot be taught, but craftsmanship can. Architects, painters, sculptors are all craftsmen in the original sense of the word. Thus it is a fundamental requirement of all artistic creativity that every student undergo a thorough training in the workshops of all branches of the crafts."

"The mind is like an umbrella - it functions best when open."

"A modern, harmonic and lively architecture is the visible sign of an authentic democracy."

"Architecture begins where engineering ends."

"It was only the third new set of planetary tables in European history. And whereas Copernicus's and Ptolemy's tables were more or less equally accurate, Kepler's were some 50 times more so. Within a few years, it was possible to pinpoint the time of transit of Mercury across the face of the sun so that it was possible to observe it in transit for the first time in human history. Of course, Kepler's theories were more difficult, especially since he had incorporated logarithms, which had only been invented a few years earlier. Much of the book, therefore, was made up of explanatory text that told the reader how to use the tables. ...The printing ...was finished on time in September 1627 ...but he was not optimistic ...noting, "There will be few purchasers, as is always the case with mathematical works, especially in the present chaos.""

"Kepler's project in was to give 'true and perfect reasons for the numbers, quantities, and periodic motions of celestial orbits.' The perfect reasons must be based on the simple mathematical principles, which had been discovered by Kepler in the solar system, by using geometric demonstrations. The general scheme of his model was borrowed... from Plato's 'Timaeus', but the mathematical relations for the s (pyramid, cube, , , ) were taken by Kepler from the works of Euclid and Ptolemy. Kepler followed Proclus and believed that 'the main goal of Euclid was to build a geometric theory of the so-called Platonic solids.' Kepler was fascinated by Proclus and often quotes him calling him a 'Pythagorean'."

"Nearly three thousand years ago, the ancient Egyptians knew that a glass lens can make an object look bigger. Nero... is said to have looked through an emerald to watch his gladiators fighting... By the ninth century, people were using 'reading stones' to assist their failing eyesight. These were polished lumps of clear glass, rounded on one side and flat on the other; you sat them on top of the document you were trying to read... The first true spectacles were almost certainly invented in Italy between 1280 and 1300. They acted like a magnifying glass and corrected long-sightedness; it would be another 300 years before lenses able to correct short-sightedness would be developed, in part because these were much harder to make. Johannes Kepler (astronomer, astrologer and mathematician) was the first to explain how convex and concave lenses corrected eyesight. ...lenses were (and still are) made by grinding glass using various types of abrasive material, which in Kepler's time were already being used by jewellers."

"Kepler states expressly that he gave the name Foci to certain points related to the conic sections which had previously "no name." With their new name he associated his new views about the points themselves, and his doctrines of Continuity (under the name Analogy) and Parallelism, which would soon have become known, and would after a time have been taken up by competent mathematicians.... A letter of Henry Briggs to Kepler [dated Mar 10, 1625] suggest improvements in the Paralipomena ad Vitellionem. In this letter Briggs... comprehended and accepted Kepler's way of looking at parallels as lines to or from a point at infinity in one direction or its opposite."

"Luckily, Napier came on the scene with his logarithms just when Johannes Kepler, the discoverer of the laws of planetary motion, was deeply immersed in mind-numbing, tedious calculations, filling hundreds of folio pages with lengthy arithmetic operations, in his construction of the orbit of Mars from the observational data of Tycho Brahe. To Kepler, this discovery was a gift from heaven, for logarithms reduced considerably the time he had to spend just doing arithmetic calculations, a task which he detested."

"As living bodies have hair, so does the earth have grass and trees, the cicadas being its dandruff; as living creatures secrete urine in a bladder, so do the mountains make springs; sulphur and volcanic products correspond to excrement, metals and rainwater to blood and sweat; the sea water is the earth's nourishment … At the same time the anima terrae [soul of the earth] is also a formative power (facultas formatrix) in the earth's interior and expresses, for example, the five regular bodies in precious stones and fossils ..... It is important that in Kepler's view the anima terrae is responsible for the weather and also for meteoric phenomena. Too much rain, for instance, is an illness of the earth."

"Kepler also thought of the Inverse Square Law; he thought of it first. ...Kepler regarded gravitational attraction as analogous to propagation of light... Consider now the intensity of light falling on a planet P at a distance R from the Sun. Let S be the total amount if light emitted by the Sun. ...the intensity will be the same at all points distance R from the Sun. But these points constitute a spherical sheet (with center the Sun) whose radius is R and whose surface area, therefore, is 4πR2. Consequently, intensity of radiation =\frac {S}{4\pi}\cdot\frac {1}{R^2}i.e., the intensity is inversely proportional to the square of the distance between the planet P and the Sun. ...Kepler thought carefully about the possibility, but was dubious... to his credit; he mistrusted the idea for a very good reason. ...although during a solar eclipse the Moon blocks the Sun's radiation to part of the Earth, there is no discontinuity in the Earth's motion. If gravitational attraction were radiated as light is radiated, this too would be temporarily blocked by the Moon, so that during the eclipse it would discontinue its eliptical orbit..."

"He [Kepler] supposes, in that treatise [epitome of astronomy], that the motion of the sun on his axis is preserved by some inherent vital principle; that a certain virtue, or immaterial image of the sun, is diffused with his rays into the ambient spaces, and, revolving with the body of the sun on his axis, takes hold of the planets and carries them along with it in the same direction; as a load-stone turned round in the neighborhood of a magnetic needle makes it turn round at the same time. The planet, according to him, by its inertia endeavors to continue in its place, and the action of the sun's image and this inertia are in a perpetual struggle. He adds, that this action of the sun, like to his light, decreases as the distance increases; and therefore moves the same planet with greater celerity when nearer the sun, than at a greater distance. To account for the planet's approaching towards the sun as it descends from the aphelium to the perihelium, and receding from the sun while it ascends to the aphelium again, he supposes that the sun attracts one part of each planet, and repels the opposite part; and that the part which is attracted is turned towards the sun in the descent, and that the other part is towards the sun in the ascent. By suppositions of this kind he endeavored to account for all the other varieties of the celestial motions."

"Kepler was a brilliant thinker and a lucid writer, but he was a disaster as a classroom teacher. He mumbled. He digressed. He was at times utterly incomprehensible. He drew only a handful of students his first year at Graz; the next year there were none. He was distracted by an incessant interior clamour of associations and speculations vying for his attention. And one pleasant summer afternoon, deep in the interstices of one of his interminable lectures, he was visited by a revelation that was to alter radically the future of astronomy. Perhaps he stopped in mid-sentence. His inattentive students, longing for the end of the day, took little notice, I suspect, of the historic moment."

"Copernicus, Kepler and Galileo were ‘revisionists’ in rejecting the geocentric system of Ptolemy (which held sway for some 1500 years) and, against an oppressive and repressive mainstream opinion (and officialdom), reinstated—with improvements—the heliocentric system of Aristarchos of Samos (3rd cent BCE)."

"Kepler (and Desargues) regarded the two "ends" of the ["straight"] line as meeting at "infinity" so that the line has the structure of a circle. In fact, Kepler actually thought of a line as a circle with its center at infinity."

"Over and above the specific theorems created by men such as Desargues, Pascal and La Hire, several new ideas and outlooks were beginning to appear. The first is the idea of continuous change of a mathematical entity from one state to another... [i.e., of a] a geometrical figure. It was Kepler, in his Astronomiae Optica of 1604, who first seemed to grasp the fact that parabola, ellipse, hyperbola, circle, and the degenerate conic consisting of a pair of lines are continuously derivable from each other. ...The notion of a continuous change in a figure was also employed by Pascal. He allowed two consecutive vertices of his hexagon to approach each other so that the figure became a pentagon. In the same manner he passed from pentagons to quadrilaterals. The second idea to emerge from the work of the projective geometers is that of transformation and invariance."

"If Kepler had been a mathematician of the twentieth century, he would have stopped his laborious observational inductions after noting his first law, and deduced the other two analytically."