Short Geometry Quotes & Sayings

Long before being artists, we are artisans; and all fabrication, however rudimentary, lives on likeness and repetition, like the natural geometry which serves as its fulcrum. Fabrication works on models which it sets out to reproduce; and even when it invents, it proceeds, or imagines itself to proceed, by a new arrangement of elements already known. Its principle is that "we must have like to produce like." In short, the strict application of the principle of finality, like that of the principle of mechanical causality, leads to the conclusion that "all is given." Both principles say the same thing in their respective languages, because they respond to the same need. — Henri Bergson

A philosophical thought is not supposed to be impervious to all criticism; this is the error Whitehead describes of turning philosophy into geometry, and it is useful primarily as a way of gaining short-term triumphs in personal arguments that no one else cares (or even knows) about anyway. A good philosophical thought will always be subject to criticisms (as Heidegger's or Whitehead's best insights all are) but they are of such elegance and depth that they change the terms of debate, and function as a sort of "obligatory passage point" (Latour's term) in the discussions that follow.
Or in other words, the reason Being and Time is still such a classic, with hundreds of thousands or millions of readers almost a century later, is not because Heidegger made "fewer mistakes" than others of his generation. Mistakes need to be cleaned up, but that is not the primary engine of personal or collective intellectual progress. — Graham Harman

The solution which I am urging is to eradicate the fatal disconnection of subjects which kills the vitality of our modern curriculum. There is only one subject-matter for education, and that is LIfe in all its manifestations. Instead of this single unity, we offer children
Algebra, from which nothing follows; Geometry, from which nothing follows; Science, from which nothing follows; History, from which nothing follows; a Couple of Languages, never mastered; and lastly, most dreary of all, Literature, represented by plays of Shakespeare, with philological notes and short analyses of plot and character to be in substance committed to memory. Can such a list be said to represent Life, as it is known in the midst of living it? The best that can be said of it is, that it is a rapid table of contents which a deity might run over in his mind while he was thinking of creating a world, and has not yet determined how to put it together — Alfred North Whitehead

Geometry, which should only obey Physics, when united with it sometimes commands it. If it happens that the question which we wish to examine is too complicated for all the elements to be able to enter into the analytical comparison we wish to make, we separate the more inconvenient [elements], we substitute others for them, less troublesome but also less real, and we are surprised to arrive, notwithstanding a painful labour, only at a result contradicted by nature; as if after having disguised it, cut it short or altered it, a purely mechanical combination could give it back to us. — Jean Le Rond D'Alembert