In mathematical quarters, the regular division of the plane has been considered theoretically... Does this mean that it is an exclusively mathematical question? In my opinion, it does not. [Mathematicians] have opened the gate leading to an extensive domain, but they have not entered this domain themselves. By their very nature they are more interested in the way in which the gate is opened than in the garden lying behind it.
M. C. EscherRelated topics
behind garden gate lying mean nature opinion plane question way quartersRelated quotes
I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without a name until 1975, when I coined a new word to denote it, fractal geometry, from the Latin word for irregular and broken up, fractus. Today you might say that, until fractal geometry became organized, my life had followed a fractal orbit.
Benoît Mandelbrot
When, in the course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth the separate and equal station to which the laws of nature and of nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.
Thomas Jefferson
After sleeping through a hundred million centuries we have finally opened our eyes on a sumptuous planet, sparkling with color, bountiful with life. Within decades we must close our eyes again. Isnt it a noble, an enlightened way of spending our brief time in the sun, to work at understanding the universe and how we have come to wake up in it This is how I answer when I am askedas I am surprisingly oftenwhy I bother to get up in the mornings.
Richard Dawkins
An extra-terrestrial philosopher, who had watched a single youth up to the age of twenty-one and had never come across any other human being, might conclude that it is the nature of human beings to grow continually taller and wiser in an indefinite progress towards perfection and this generalization would be just as well founded as the generalization which evolutionists base upon the previous history of this planet.
Bertrand Russell
How very paltry and limited the normal human intellect is, and how little lucidity there is in the human consciousness, may be judged from the fact that, despite the ephemeral brevity of human life, the uncertainty of our existence and the countless enigmas which press upon us from all sides, everyone does not continually and ceaselessly philosophize, but that only the rarest of exceptions do.
Arthur Schopenhauer