If perchance there should be foolish speakers who, together with those ignorant of all mathematics, will take it upon themselves to decide concerning these things, and because of some place in the Scriptures wickedly distorted to their purpose, should dare to assail this my work, they are of no importance to me, to such an extent do I despise their judgment as rash. For it is not unknown that Lactantius, the writer celebrated in other ways but very little in mathematics, spoke somewhat childishly of the shape of the earth when he derided those who declared the earth had the shape of a ball. So it ought not to surprise students if such should laugh at us also. Mathematics is written for mathematicians to whom these our labors, if I am not mistaken, will appear to contribute something even to the ecclesiastical state the headship of which your Holiness now occupies.(Author's preface to de revolutionibus)
Nicolaus CopernicusRelated topics
appear ball concerning dare earth extent headship holiness ignorant importance judgment laugh mathematics mistake now ought place preface purpose rash should shape something somewhat spoke state surprise take unknown work write writer things waysRelated quotes
Mrs. Gandhi has only one dream: to take over the whole sub continent, to subjugate us. She'd like a confederation so as to make Pakistan disappear from the face of the earth, and that's why she says we're brothers, and so forth. We're not brothers. We never have been. Our religions go too deep into our souls, into our ways of life. Our cultures are different, our attitudes are different. From the day they're born, to the day they die, a Hindu and a Muslim are subject to laws and customs that have no points of contact. Even their ways of eating and drinking are different. They're two strong and irrecon cilable faiths. It's shown by the fact that neither of the two has ever succeeded in reaching a compromise with the other, a modus vivendi. Only dictatorial monarchies, foreign invasions, from the Mongols to the British, have succeeded in holding us together by a kind of Pax Romana. We've never arrived at a harmonious relationship.
Zulfikar Ali Bhutto
It may be observed of mathematicians that they only meddle with such things as are certain, passing by those that are doubtful and unknown. They profess not to know all things, neither do they affect to speak of all things. What they know to be true, and can make good by invincible arguments, that they publish and insert among their theorems. Of other things they are silent and pass no judgment at all, choosing rather to acknowledge their ignorance, than affirm anything rashly. They affirm nothing among their arguments or assertions which is not most manifestly known and examined with utmost rigour, rejecting all probable conjectures and little witticisms. They submit nothing to authority, indulge no affection, detest subterfuges of words, and declare their sentiments, as in a court of justice, without passion, without apology; knowing that their reasons, as Seneca testifies of them, are not brought to persuade, but to compel.
Isaac Barrow
The size of a firm influences its competitive policies in a number of ways. In the first place the scale of its purchases and sales relative to the total volume of transactions in the firm's market is one indication of the extent of its market control. Taken in conjunction with other data it may throw a good deal of light on price and production policies. Certain authorities, on the other hand, brush aside figures on the relative size of firms as irrelevant and emphasize the decisive importance of the elasticity of the firm's demand curve. 3 It would no doubt be extremely convenient if economists knew the shape of individual demand and cost curves and could proceed forthwith, by comparisons of price and marginal cost, to conclusions regarding the existing degree of monopoly power. The extent to which the monopoly theorists, however, refrain from an empirical application of their formulae is rather striking.
Edward S. Mason
Mathematics have a triple aim. They must furnish an instrument for the study of nature. But that is not all: they have a philosophic aim and, I dare maintain, an esthetic aim. They must aid the philosopher to fathom the notions of number, of space, of time. And above all, their adepts find therein delights analogous to those given by painting and music. They admire the delicate harmony of numbers and forms; they marvel when a new discovery opens to them an unexpected perspective; and has not the joy they thus feel the esthetic character, even though the senses take no part therein? Only a privileged few are called to enjoy it fully, it is true, but is not this the case for all the noblest arts?
This is why I do not hesitate to say that mathematics deserve to be cultivated for their own sake, and the theories inapplicable to physics as well as the others. Even if the physical aim and the esthetic aim were not united, we ought not to sacrifice either.
Henri Poincaré
There are also animals which are called elks [alces "moose" in Am. Engl.; elk "wapiti"]. The shape of these, and the varied colour of their skins, is much like roes, but in size they surpass them a little and are destitute of horns, and have legs without joints and ligatures; nor do they lie down for the purpose of rest, nor, if they have been thrown down by any accident, can they raise or lift themselves up. Trees serve as beds to them; they lean themselves against them, and thus reclining only slightly, they take their rest; when the huntsmen have discovered from the footsteps of these animals whither they are accustomed to betake themselves, they either undermine all the trees at the roots, or cut into them so far that the upper part of the trees may appear to be left standing. When they have leant upon them, according to their habit, they knock down by their weight the unsupported trees, and fall down themselves along with them.
Julius Caesar
