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What do you do when your President ignores all the palpable, relevant facts and wanders in circles?
--
David Stockman, The Triumph of Politics: Why the Reagan Revolution Failed

 

Ronald Reagan

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It is true that numerous instances are not always necessary to establish a law, provided the essential and relevant circumstances can easily be disentangled. But, in history, so many circumstances of a small and accidental nature are relevant, that no broad and simple uniformities are possible. Where our main endeavour is to discover general laws, we regard these as intrinsically more valuable than any of the facts which they inter-connect. In astronomy, the law of gravitation is plainly better worth knowing than the position of a particular planet on a particular night, or even on every night throughout a year. There are in the law a splendour and simplicity and sense of mastery which illuminate a mass of otherwise uninteresting details... But in history the matter is far otherwise... Historical facts, many of them, have an intrinsic value, a profound interest on their own account, which makes them worthy of study, quite apart from any possibility of linking them together by means of causal laws.

 

Bertrand Russell

 

To appreciate the nature of fractals, recall Galileo's splendid manifesto that "Philosophy is written in the language of mathematics and its characters are triangles, circles and other geometric figures, without which one wanders about in a dark labyrinth." Observe that circles, ellipses, and parabolas are very smooth shapes and that a triangle has a small number of points of irregularity. Galileo was absolutely right to assert that in science those shapes are necessary. But they have turned out not to be sufficient, "merely" because most of the world is of infinitely great roughness and complexity. However, the infinite sea of complexity includes two islands: one of Euclidean simplicity, and also a second of relative simplicity in which roughness is present, but is the same at all scales.

 

Benoit Mandelbrot

 

If a teacher can discern what a child is trying to do in his informational interaction with the environment, and if that teacher can have on hand materials relevant to that intention, if he can impose a relevant challenge with which the child can cope, supply a relevant model for imitation, or pose a relevant question the child can answer, that teacher can call forth the kind of accommodative change that constitutes psychological development or growth.

 

Maria Montessori

 

Truthiness is tearing apart our country, and I don't mean the argument over who came up with the word. I don't know whether it's a new thing, but it's certainly a current thing, in that it doesn't seem to matter what facts are. It used to be, everyone was entitled to their own opinion, but not their own facts. But that's not the case anymore. Facts matter not at all. Perception is everything. It's certainty. People love the president because he's certain of his choices as a leader, even if the facts that back him up don't seem to exist. It's the fact that he's certain that is very appealing to a certain section of the country. I really feel a dichotomy in the American populace. What is important? What you want to be true, or what is true?

 

Stephen Colbert

 

In certain intellectual circles in France, the very basis for discussion -- a minimal respect for facts and logic -- has been virtually abandoned.

 

Noam Chomsky