He left in his Optics, the earliest surviving table of angles of refraction from air to water. ...This table, quoted and requoted until modern times, has been admired... A closer glance at it, however, suggests that there was less experimentation involved in it than originally was thought, for the values of the angles of refraction form an arithmetic progression of second order... As in other portions of Greek Science, confidence in mathematics was here greater than that in the evidence of the senses, although the value corresponding to 60° agrees remarkably well with experience.
PtolemyRelated topics
air arithmetic closer confidence early experience experimentation form left less mathematics optics order progression refraction science second table thought times value water wellRelated quotes
The attitude of the true scientist towards the real limits of human understanding was unforgettably impressed on me in early youth by the obviously unpremeditated words of a great biologist; Alfred Kuhn finished a lecture to the Austrian Academy of Science with Goethe 's words, "It is the greatest joy of the man of thought to have explored the explorable and then calmly to revere the inexplorable." After the last word he hesitated, raised his hand in repudiation and cried, above the applause, "No, not calmly, gentlemen; not calmly!
Konrad Lorenz
The really important facts were that spatial relationships had ceased to matter very much and that my mind was perceiving the world in terms of other than spatial categories. At ordinary times the eye concerns itself with such problems as where? - how far? - how situated in relation to what? In the mescaline experience the implied questions to which the eye responds are of another order. Place and distance cease to be of much interest. The mind does its perceiving in terms of intensity of existence, profundity of significance, relationships within a pattern.
Aldous Huxley
Communities now find themselves in possession of improvements [resulting from the WPA] which even in 1929 they would have thought themselves presumptuous to dream of... [but] everywhere there had been an overhauling of the word presumptuous. We are beginning to wonder if it is not presumptuous to take for granted that some people should have much, and some should have nothing; that some people are less important than others and should die earlier; that the children of the comfortable should be taller and fatter, as a matter of right, than the other children of the poor.
Harry Hopkins
The unphilosophical and philosophical attitudes can be very sharply distinguished (with scarcely any intermediate forms) by the fact that the first accepts everything that happens as regards its general form, and finds occasion for surprise only in that special content by which something that happens here today differs from what happened there yesterday; whereas for the second, it is precisely the common features of all experience, such as characterise everything we encounter, which are the primary and most profound occasion for astonishment.
Erwin Schrödinger
Only within the 20th Century has biological thought been focused on ecology, or the relation of the living creature to its environment. Awareness of ecological relationships is - or should be - the basis of modern conservation programs, for it is useless to attempt to preserve a living species unless the kind of land or water it requires is also preserved. So delicately interwoven are the relationships that when we disturb one thread of the community fabric we alter it all - perhaps almost imperceptibly, perhaps so drastically that destruction follows.
Rachel Carson