A Quote by Henri Poincare
The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law.
Related Quotes
The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. They reveal the kinship between other facts, long known, but wrongly believed to be strangers to one another.
[The scientist] believes passionately in facts, in measured facts. He believes there are no bad facts, that all facts are good facts, though they may be facts about bad things, and his intellectual satisfaction can come only from the acquisition of accurately known facts, from their organization into a body of knowledge, in which the inter-relationship of the measured facts is the dominant consideration.
Thanks to postmodernism, we tend to see all facts as meaningless trivia, no one more vital than any other. Yet this disregard for facts qua facts is intellectually crippling. Facts are the raw material of thought, and the knowledge of significant facts makes sophisticated thought possible.
Knowledge is the accumulation of facts wisdom is the deduction from these facts of useful laws, a process which can only take place by comparing the facts in one compartment with those in all others, thus giving a vision of the whole.
Facts are simple and facts are straight. Facts are lazy and facts are late. Facts all come with points of view. Facts don't do what I want them to. Facts just twist the truth around. Facts are living turned inside out.
There seem to be only two kinds of people: Those who think that metaphors are facts, and those who know that they are not facts. Those who know they are not facts are what we call "atheists," and those who think they are facts are "religious." Which group really gets the message?
My approach to deciding cases is I look at the law, I look at the facts, and I do my best to apply the law to the facts and make a decision based on the law and the facts.
Let us, rather, gather facts, all the facts, regardless of aesthetic appeal or theoretical social worth, and spread those facts before us not as the soothsayer spreads the innards of a turkey but as a newspaper spreads its columns. Let us be journalists, then. And like all good journalists, we shall present our facts in an order that will satisfy the famous five W's: wow, whoopee, wahoo, why-not and whew.
For I am well aware that scarcely a single point is discussed in this volume on which facts cannot be adduced, often apparently leading to conclusions directly opposite to those at which I have arrived. A fair result can be obtained only by fully stating and balancing the facts and arguments on both sides of each question.
The Reader may here observe the Force of Numbers, which can be successfully applied, even to those things, which one would imagine are subject to no Rules. There are very few things which we know, which are not capable of being reduc'd to a Mathematical Reasoning, and when they cannot, it's a sign our Knowledge of them is very small and confus'd; and where a mathematical reasoning can be had, it's as great folly to make use of any other, as to grope for a thing in the dark when you have a Candle standing by you.
Facts are neutral until human beings add their own meaning to those facts. People make their decisions based on what the facts mean to them, not on the facts themselves. The meaning they add to facts depends on their current story … facts are not terribly useful to influencing others. People don’t need new facts—they need a new story.
Newton's law is nothing but the statistics of gravitation, it has no power whatever.
Let us get rid of the idea of power from law altogether. Call law tabulation of facts, expression of facts, or what you will; anything rather than suppose that it either explains or compels.
Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at the next advances of
our science and at the secrets of its development during future centuries? What particular goals will there be toward
which the leading mathematical spirits of coming generations will strive? What new methods and new facts in the
wide and rich field of mathematical thought will the new centuries disclose?
The essential fact is that all the pictures which science now draws of nature, and which alone seem capable of according with observational facts, are mathematical pictures.
Facts are certainly the solid and true foundation of all sectors of nature study ... Reasoning must never find itself contradicting definite facts; but reasoning must allow us to distinguish, among facts that have been reported, those that we can fully believe, those that are questionable, and those that are false. It will not allow us to lend faith to those that are directly contrary to others whose certainty is known to us; it will not allow us to accept as true those that fly in the face of unquestionable principles.
All genuine progress results from finding new facts. No law can be passed to make an acre yield three hundred bushels. God has already established the laws. It is four us to discover them, and to learn the facts by which we can obey them.
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