A Quote by Francois Arago
The calculus of probabilities, when confined within just limits, ought to interest, in an equal degree, the mathematician, the experimentalist, and the statesman.
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Though this motion for a new trial is an application to the discretion of the Court, it must be remembered that the discretion to be exercised on such an occasion is not a wild but a sound discretion, and to be confined within those limits within which an honest man, competent to discharge the duties of his office, ought to confine himself. And that discretion will be best exercised by not deviating from the rules laid down by our predecessors; for the practice of the Court forms the law of the Court.
The mathematician is entirely free, within the limits of the imagination, to construct what worlds he pleases.
Rightful liberty is unobstructed action according to our will within limits drawn around us by the equal rights of others. I do not add 'within the limits of the law' because law is often but the tyrant's will, and always so when it violates the rights of the individual.
When I was about thirteen, the library was going to get 'Calculus for the Practical Man.' By this time I knew, from reading the encyclopedia, that calculus was an important and interesting subject, and I ought to learn it.
The true Logic for this world is the Calculus of Probabilities, which takes account of the magnitude of the probability.
If laws acting upon private interests can not always be avoided, they should be confined within the narrowest limits, and left wherever possible to the legislatures of the States.
Some men make gain a fountain, whence proceeds
A stream of liberal and heroic deeds;
The swell of pity, not to be confined
Within the scanty limits of the mind.
Discipline is ... life-inhibiting, is at the very least curtailment of vital activity insofar as the latter cannot develop as it wishes but is confined within specific limits and subjected to specific rules.
The mathematician is entirely free, within the limits of his imagination, to construct what worlds he pleases. What he is to imagine is a matter for his own caprice; he is not thereby discovering the fundamental principles of the universe nor becoming acquainted with the ideas of God.
I believe that all poetry is formal in that it exists within limits, limits that are either inherited by tradition or limits that language itself imposes.
If an event can be produced by a number n of different causes, the probabilities of the existence of these causes, given the event (prises de l'événement), are to each other as the probabilities of the event, given the causes: and the probability of each cause is equal to the probability of the event, given that cause, divided by the sum of all the probabilities of the event, given each of the causes.
The theory of probabilities is basically only common sense reduced to a calculus. It makes one estimate accurately what right-minded people feel by a sort of instinct, often without being able to give a reason for it.
The master-economist must possess a rare combination of gifts. He must reach a high standard in several different directions and must combine talents not often found together. He must be mathematician, historian, statesman, philosopher - in some degree. He must understand symbols and speak in words. He must contemplate the particular in terms of the general, and touch abstract and concrete in the same flight of thought. He must study the present in the light ofthe past for the purposes of the future
I know what the counterterrorism feels like because I was there. But I also operated within limits. And within the United States government, we've decided long ago that there are limits on what we're going to do in the war against terrorism.
One influential philosophical position about the use of probability in science holds that probabilities are objective only if they are based on micro-physics; all other probabilities should be interpreted subjectively, as merely revealing our ignorance about physical details. I have argued against this position, contending that the objectivity of micro-physical probabilities entails the objectivity of macro-probabilities.
I give myself limits - not only financial limits, but I also limit my method of expression, and from within those limits, I try to come up with something new and interesting.
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