A Quote by Robert Louis Stevenson
A proposition of geometry does not compete with life; and a proposition of geometry is a fair and luminous parallel for a work of art. Both are reasonable, both untrue to the crude fact; both inhere in nature, neither represents it.
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About Thomas Hobbes: He was 40 years old before he looked on geometry; which happened accidentally. Being in a gentleman's library, Euclid's Elements lay open, and "twas the 47 El. libri I" [Pythagoras' Theorem]. He read the proposition "By God", sayd he, "this is impossible:" So he reads the demonstration of it, which referred him back to such a proposition; which proposition he read. That referred him back to another, which he also read. Et sic deinceps, that at last he was demonstratively convinced of that truth. This made him in love with geometry.
The concept of congruence in Euclidean geometry is not exactly the same as that in non-Euclidean geometry. ..."Congruent" means in Euclidean geometry the same as "determining parallelism," a meaning which it does not have in non-Euclidean geometry.
When Proposition 8 passed in California, some were quick to blame minority voters, some of whom had voted for both President Obama and Proposition 8; however, these claims were later debunked as being overstated.
Both art and science are bent on the understanding of the forces that shape existence, and both call for a dedication to what is. Neither of them can tolerate capricious subjectivity because both are subject to their criteria of truth. Both require precision, order, and discipline because no comprehensible statement can be made without these. Both accept the sensory world as what the Middle Ages called signatura regrum, the signature of things, but in quite different ways.
Both Socrates and Jesus were outstanding teachers; both of them urged and practiced great simplicity of life; both were regarded as traitors to the religion of their community; neither of them wrote anything; both of them were executed; and both have become the subject of traditions that are difficult or impossible to harmonize.
Art and ideology often interact on each other; but the plain fact is that both spring from a common source. Both draw on human experience to explain mankind to itself; both attempt, in very different ways, to assemble coherence from seemingly unrelated phenomena; both stand guard for us against chaos.
Man is both strong and weak, both free and bound, both blind and far-seeing. He stands at the juncture of nature and spirit; and is involved in both freedom and necessity.
After every happiness comes misery; they may be far apart or near. The more advanced the soul, the more quickly does one follow the other. What we want is neither happiness nor misery. Both make us forget our true nature; both are chains-one iron, one gold; behind both is the Atman, who knows neither happiness nor misery. These are states, and states must ever change; but the nature of the Atman is bliss, peace, unchanging. We have not to get it, we have it; only wash away the dross and see it.
I love making object form; I wish I was doing more of it. I admire the research of my colleagues, and sometimes it makes me sad when their beautiful work - the deep dives into formal research and nuances of geometry and so on - ends up circling in more and more circumscribed contexts. I wish they were more powerful. It's not a modern proposition. Active form doesn't kill object form. I want my students to have all those skills related to geometry, shape, measure, scale, etc., plus skills for using space to manipulate power in the world.
In fact, Gentlemen, no geometry without arithmetic, no mechanics without geometry... you cannot count upon success, if your mind is not sufficiently exercised on the forms and demonstrations of geometry, on the theories and calculations of arithmetic ... In a word, the theory of proportions is for industrial teaching, what algebra is for the most elevated mathematical teaching.
A true proposition is a proposition belief which would never lead to such disappointment so long as the proposition is not understood otherwise than it was intended.
Communism is a proposition to structure the world more reasonably, a proposition for changing the world. As such, we have to analyze it and, if we deem it reasonable, act upon it.
Analytical geometry has never existed. There are only people who do linear geometry badly, by taking coordinates, and they call this analytical geometry. Out with them!
Geometry in every proposition speaks a language which experience never dares to utter; and indeed of which she but halfway comprehends the meaning.
Metrical geometry is thus a part of descriptive geometry, and descriptive geometry is all geometry.
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.
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