Geometry Quotes - page 11

Relying on the face might be human nature - even babies prefer to look at attractive people. But, of course, judging someone based on the geometry of his features is, from a moral and legal standpoint, no better than judging him based on the color of his skin. (Paul Bloom)
How did it happen that the Reverend Charles Dodgson, thirty years of age, lecturer on geometry at Christ Church, Oxford, hitherto remarkable chiefly for his precision, on a single July afternoon, while rowing up the Isis with a brother don and three little girls, parthenogenetically gave birth to one of the most famous stories of all time? View quote
Florence Becker Lennon
A geometry implies the heterogeneity of locus, namely that there is a locus of the Other. Regarding this locus of the Other, of one sex as Other, as absolute Other, what does the most recent development in topology allow us to posit? View quote
Jacques Lacan
I... praise the newly opened halls of fossil mammals at the American Museum of Natural History. ...teaching us about evolutionary trees by organizing the entire hall as a central trunk and set of branches... placing our brains in our feet and letting us learn by walking. ...the chosen geometry of evolutionary organization... violates the traditional picture of life's history, thus illustrating... an important principle in the history of science: the central role of pictures, graphs, and other forms of visual representation in channeling and constraining our thought. ...Words are an evolutionary afterthought. ...My colleagues have actually done it. ...They have ordered all the fossils into an unconventional iconographic tree that fractures the bias of progress. ...so that we can preambulate along the tree of life and absorb the new scheme viscerally by walking... They have taken Colbert's radical idea and arranged all the fossils by their branching order, not their later "success" or "advancement." View quote
Stephen Jay Gould
I regret that it has been necessary for me in this lecture to administer a large dose of four-dimensional geometry. I do not apologize, because I am really not responsible for the fact that nature in its most fundamental aspect is four-dimensional. Things are what they are. View quote
Alfred North Whitehead
Certainly it is permitted to anyone to put forward whatever hypotheses he wishes, and to develop the logical consequences contained in those hypotheses. But in order that this work merit the name of Geometry, it is necessary that these hypotheses or postulates express the result of the more simple and elementary observations of physical figures. View quote
Giuseppe Peano
I call it sacred geometry. When everything's just right and it feels really balanced, so that when it unfolds to the next part, you feel totally familiar and at ease within the song. View quote
Jason Mraz
In the physical world, one cannot increase the size or quantity of anything without changing its quality. Similar figures exist only in pure geometry. View quote
Paul Valéry
There is (gentle reader) nothing (the works of God only set apart) which so much beautifies and adorns the soul and mind of man as does knowledge of the good arts and sciences. Many arts there are which beautify the mind of man; but of all none do more garnish and beautify it than those arts which are called mathematical, unto the knowledge of which no man can attain, without perfect knowledge and instruction of the principles, grounds, and Elements of Geometry. View quote
John Dee
I make no difference between the Plane of the Horizon, and any other Plane whatsoever; for since Planes, as Planes, are alike in Geometry, it is most proper to consider them as so. View quote
Brook Taylor
Some forms of Kantianism put great weight on "what we can imagine” holding that this can be a source of insight into necessary connections. Thus various of Kant's arguments about space and time depend on the purported fact that it is impossible for us to imagine certain things: we can know, Kant claims, a priori that space has only three dimensions because we cannot imagine it as having more than three dimensions. History in the form of non-Euclidean geometry and modern physics has put paid to that particular line of argument, but in general we should beware of depending too much on "What we can imagine?,” especially in politics. As Nietzsche puts it somewhere, sometimes the fact that you can't imagine a situation in which things are very different from the way they are now is not an especially good argument for the claim that they must be as they now are, but, rather, represents a failure of your powers about which you should feel mildly apologetic. (Raymond Geuss)
Geometry is one of the handles of science and philosophy. View quote
Xenocrates
She was no scholar in geometry or aught else, but she felt intuitively that the bend and slant of the way she went were somehow outside any other angles or bends she had ever known. View quote
C. L. Moore
His way had therefore come full circle, or rather had taken the form of an ellipse or a spiral, following as ever no straight unbroken line, for the rectilinear belongs only to Geometry and not to Nature and Life. View quote
Hermann Hesse
Everything you invent is true: you can be sure of that. Poetry is a subject as precise as geometry. View quote
Julian Barnes
Phys. I know that it is often a help to represent pressure and volume as height and width on paper; and so geometry may have applications to the theory of gases. But is it not going rather far to say that geometry can deal directly with these things and is not necessarily concerned with lengths in space? Math. No. Geometry is nowadays largely analytical, so that in form as well as in effect, it deals with variables of an unknown nature. ...It is literally true that I do not want to know the significance of the variables x, y, z, t that I am discussing. ... Phys. Yours is a strange subject. You told us at the beginning that you are not concerned as to whether your propositions are true, and now you tell us you do not even care to know what you are talking about. Math. View quote
Arthur Eddington
The present revolution of scientific thought follows in natural sequence on the great revolutions at earlier epochs in the history of science. Einstein's special theory of relativity, which explains the indeterminateness of the frame of space and time, crowns the work of Copernicus who first led us to give up our insistence on a geocentric outlook on nature; Einstein's general theory of relativity, which reveals the curvature or non-Euclidean geometry of space and time, carries forward the rudimentary thought of those earlier astronomers who first contemplated the possibility that their existence lay on something which was not flat. These earlier revolutions are still a source of perplexity in childhood, which we soon outgrow; and a time will come when Einstein's amazing revelations have likewise sunk into the commonplaces of educated thought. View quote
Arthur Eddington
A work of morality, politics, criticism will be more elegant, other things being equal, if it is shaped by the hand of geometry. View quote
Bernard Le Bovier de Fontenelle
The geometrical spirit is not so tied to geometry that it cannot be detached from it and transported to other branches of knowledge. A work of morals or politics or criticism, perhaps even of eloquence, would be better (other things being equal) if it were done in the style of a geometer. The order, clarity, precision and exactitude which have been apparent in good books for some time might well have their source in this geometric spirit. ...Sometimes one great man gives the tone to a whole century; [Descartes], to whom one might legitimately be accorded the glory of having established a new art of reasoning, was an excellent geometer. View quote
Bernard Le Bovier de Fontenelle
At the time the book of Marquis de l'Hôpital had appeared, and almost all mathematicians began to turn to the new geometry of the infinite [that is, the new infinitesimal calculus], until then little known. The surprising universality of the methods, the elegant brevity of the proofs, the neatness and speed of the most difficult solutions, a singular and unexpected novelty, all attracted the mind and there was in the mathematical world a well marked revolution [une révolution bien marquée. View quote
Bernard Le Bovier de Fontenelle
A multitude of bees can tell the time of day, calculate the geometry of the sun's position, argue about the best location for the next swarm. Bees do a lot of close observing of other bees; maybe they know what follows stinging and do it anyway. (Lewis Thomas)
I wanted to have a water jet in my garden: Euler calculated the force of the wheels necessary to raise the water to a reservoir, from where it should fall back through channels, finally spurting out in Sans Souci. My mill was carried out geometrically and could not raise a mouthful of water closer than fifty paces from the reservoir. Vanity of vanities! Vanity of geometry! View quote
Frederick II of Prussia
He fell well short of mastering the art of demonstration; he had only a mediocre knowledge of analysis and geometry; what he knew best was to make lenses for microscopes. View quote
Baruch Spinoza
One geometry cannot be more true than another; it can only be more convenient. Geometry is not true, it is advantageous. View quote
Robert M. Pirsig
Geometry, which is the only science that it hath pleased God hitherto to bestow on mankind. View quote
Thomas Hobbes