Quotes About Mathematical

The universe can best be pictured as consisting of pure thought, the thought of what for want of a better word we must describe as a mathematical thinker.

If it's right, it means the answer to the ultimate question of life, the universe, and everything is not 42, with apologies to fans of Douglas Adams and The Hitchhiker's Guide to the Galaxy. But Deep Thought was on the right track: the secret of the universe is indeed mathematical.

Thus the hexagon argument demonstrates ? > 3.

Each part of our genome is unique. We would not be alive if there was not a single mathematical solution for our chromosomes. We would just be scrambled goo.

strict mathematical form, with propositions, proofs, corollaries, lemmas, scholiums, and the like. However, the subject matter of metaphysics and of morals is not very satisfactorily

This attitude adds nothing to the explanation of the paradoxes, for it fails to recognize that the conception of motion at a point, which is the crux of the situation, is not a scientific notion but a mathematical abstraction.

The failure of Aristotle to distinguish sharply between the worlds of experience and of mathematical thought resulted in his lack of clear recognition of a similar confusion in the paradoxes of Zeno.

The brain is a statistical, probabilistic system, with logic and mathematics running as higher-level processes. The computer is a logical, mathematical system, upon which higher-level statistical, probabilistic systems, such as human language and intelligence, could possibly be built.

Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two faculties, which we may call intuition and ingenuity,

The good news is that, as Leibniz suggested, we appear to live in the best of all possible worlds, where the computable functions make life predictable enough to be survivable, while the noncomputable functions make life (and mathematical truth) unpredictable enough to remain interesting, no matter how far computers continue to advance.

A wall is happy when it is well designed, when it rests firmly on its foundation, when its symmetry balances its part and produces no unpleasant stresses. Good design can be worked out on the mathematical principles of mechanics.

Psychohistory was the quintessence of sociology; it was the science of human behavior reduced to mathematical equations. The individual human being is unpredictable, but the reactions of human mobs, Seldon found, could be treated statistically.

That's right, but it's not a mathematical proposition. It's a sociological observation and there is always the possibility of exceptions to such observations. - Dr. Mandamus to Dr. Kelden Amadiro

Trantor?' 'That's right. What was once the Empire is bare bones today, but something must still be at the centre. They've got the records there, Ebling. You may learn more of mathematical psychology; perhaps enough to be able to interpret the clown's mind. He will go with you, of course.

The great appeal of the doctrine that the mind is a blank slate is the simple mathematical fact that zero equals zero.

The love of the famous, like all strong passions, is quite abstract. Its intensity can be measured mathematically, and it is independent of persons.

My brother is a genius. When we went to Italy, he was on the local television channel as a prodigy, who could solve very sophisticated mathematical equations. He was only seven or eight years old but he could solve mathematical problems for fourteen year olds.

What I'm pushing for is an economic discipline that will be closer to other social sciences; in particular, we should be more pragmatic about the methods that we are using instead of pretending that we have our own scientific apparatus with very sophisticated mathematic models that distinguish us from sociologists and historians.

It was mathematical, marriage. Not, as one might expect, additional. It was exponential.

The only definition of rationality that I've found that is practically, empirically, and mathematically rigorous is the following: what is rational is that which allows for survival. Unlike modern theories by psychosophasters, it maps to the classical way of thinking. Anything that hinders one's survival at an individual, collective, tribal, or general level is, to me, irrational.

certain professionals, while believing they are experts, are in fact not. Based on their empirical record, they do not know more about their subject matter than the general population, but they are much better at narrating—or, worse, at smoking you with complicated mathematical models. They are also more likely to wear a tie.

Light control works; close control leads to overreaction, sometimes causing the machinery to break into pieces. In a famous paper "On Governors," published in 1867, Maxwell modeled the behavior and showed mathematically that tightly controlling the speed of engines leads to instability.

All polynomials of degree n-those that have a leading term of x^n- split into n distinct terms. This is the fundamental theorem of algebra.

I remember, at MIT, we had to write an essay about something mathematical that you do in your extra time. I basically wrote about how dance, to me, was geometry: it was all shapes.