A Quote by Pierre-Simon Laplace
Without any doubt, the regularity which astronomy shows us in the movements of the comets takes place in all phenomena. The trajectory of a simple molecule of air or vapour is regulated in a manner as certain as that of the planetary orbits; the only difference between them is that which is contributed by our ignorance. Probability is relative in part to this ignorance, and in part to our knowledge.
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The word 'chance' then expresses only our ignorance of the causes of the phenomena that we observe to occur and to succeed one another in no apparent order. Probability is relative in part to this ignorance, and in part to our knowledge.
I am convinced that it is impossible to expound the methods of induction in a sound manner, without resting them upon the theory of probability. Perfect knowledge alone can give certainty, and in nature perfect knowledge would be infinite knowledge, which is clearly beyond our capacities. We have, therefore, to content ourselves with partial knowledge - knowledge mingled with ignorance, producing doubt.
We have heard of a Society for the Diffusion of Useful Knowledge. It is said that knowledge is power, and the like. Methinks there is equal need of a Society for the Diffusion of Useful Ignorance, what we will call Beautiful Knowledge, a knowledge useful in a higher sense: for what is most of our boasted so-called knowledge but a conceit that we know something, which robs us of the advantage of our actual ignorance? What we call knowledge is often our positive ignorance; ignorance our negative knowledge.
Even those who have desired to work out a completely positive philosophy have been philosophers only to the extent that, at the same time, they have refused the right to install themselves in absolute knowledge. They taught not this knowledge, but its becoming in us, not the absolute but, at most, our absolute relation to it, as Kierkegaard said. What makes a philosopher is the movement which leads back without ceasing from knowledge to ignorance, from ignorance to knowledge, and a kind of rest in this movement.
All changes in space which we see, hear, smell or taste are literally tactile impressions. All our senses are variations of our unique sense of touch. Two approaching objects touch one another when they finally meet without a noticeable space between them. ... This is what happens in any condensing matter in which the outer aspects move towards a centre... Each single part of matter approaches its neighboring part until the two collide, causing an impact or a pressure. It is space, which appears and disappears between and round object and in the movements of the particles of the object.
Knowledge can only be limited. Ignorance is boundless. In recognizing our ignorance, we will touch that which is boundless.
The endless cycle of idea and action, Endless invention, endless experiment, Brings knowledge of motion, but not of stillness; Knowledge of speech, but not of silence; Knowledge of words, and ignorance of the Word. All our knowledge brings us nearer to our ignorance, All our ignorance brings us nearer to death, But nearness to death no nearer to God. Where is the Life we have lost in living? Where is the wisdom we have lost in knowledge? Where is the knowledge we have lost in information? The cycles of Heaven in twenty centuries Bring us farther from God and nearer to the Dust.
There are two sorts of ignorance: we philosophize to escape ignorance; we start from the one, we repose in the other; they are the goals from which and to which we tend; and the pursuit of knowledge is but a course between two ignorances, as human life is only a traveling from grave to grave.
The distance we feel from our actions is proportionate to our ignorance of them; our ignorance, in turn, is largely a measure of the length of the chain of intermediaries between ourselves and our acts.
Wonder is the foundation of all philosophy; research, the progress; ignorance, the end. There is, by heavens, a strong and generous kind of ignorance that yields nothing, for honour and courage, to knowledge: an ignorance to conceive which needs no less knowledge than to conceive knowledge.
Someone once said that the most important knowledge is knowledge of our own ignorance. Our schools are depriving millions of students of that kind of knowledge by promoting "self-esteem" and encouraging them to have opinions on things of which they are grossly ignorant, if not misinformed.
Probability fractions arise from our knowledge and from our ignorance.
A little consideration of what takes place around us every day would show us that a higher law than that of our will regulates events; that our painful labors are unnecessary and fruitless; that only in our easy, simple, spontaneous action are we strong . . . . Place yourself in the middle of the stream of power and wisdom which animates all whom it floats, and you are without effort impelled to truth, to right, and a perfect contentment.
There is simple ignorance, which is the source of lighter offenses, and double ignorance, which is accompanied by a conceit of wisdom.
There's a great difference between knowing that a thing is so, and knowing how to use that knowledge for the good of mankind. Thetrouble with a scientist is we quickly tire of our discoveries. We hand them over to people who are not ready for them, while we go off again into the darkness of ignorance, searching for other discoveries, which will be mishandled in just the same way when the time comes.
... overconfidence in one's own ability is the root of much evil. Vanity, egoism, is the deadliest of all characteristics. This vanity, combined with extreme ignorance of conditions the knowledge of which is the very A B C of business and of life, produces more shipwrecks and heartaches than any other part of our mental make-up.
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