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Probability Quotes - page 4
Historically, the original purpose of the theory of probability was to describe the exceedingly narrow domain of experience connected with games of chance, and the main effort was directed to the calculation of certain probabilities.
William Feller
Infinite product spaces are the natural habitat of probability theory.
William Feller
In stochastic processes the future is not uniquely determined, but we have at least probability relations enabling us to make predictions.
William Feller
The painful experience of many gamblers has taught us the lesson that no system of betting is successful in improving the gambler's chances. If the theory of probability is true to life, this experience must correspond to a provable statement.
William Feller
The classical theory of probability was devoted mainly to a study of the gamble's gain, which is again a random variable; in fact, every random variable can be interpreted as the gain of a real or imaginary gambler in a suitable game.
William Feller
I know some in Washington would like us to start leaving Iraq now. To begin withdrawing before our commanders tell us we are ready would be dangerous for Iraq, for the region, and for the United States. It would mean surrendering the future of Iraq to al Qaeda. It would mean that we'd be risking mass killings on a horrific scale. It would mean we'd allow the terrorists to establish a safe haven in Iraq to replace the one they lost in Afghanistan. It would mean increasing the probability that American troops would have to return at some later date to confront an enemy that is even more dangerous.
George W. Bush
As an online discussion grows longer, the probability of a comparison involving Nazis or Hitler approaches one.
Mike Godwin
The probability of life originating from accident is comparable to the probability of the Unabridged Dictionary resulting from an explosion in a printing factory.
Edwin Grant Conklin
...it was Darwin's chief contribution, not only to Biology but to the whole of natural science, to have brought to light a process by which contingencies a priori improbable, are given, in the process of time, an increasing probability, until it is their non-occurrence rather than their occurrence which becomes highly improbable. ... Let the reader ... attempt to calculate the prior probability that a hundred generations of his ancestry in the direct male line should each have left at least one son. The odds against such a contingency as it would have appeared to his hundredth ancestor (about the time of King Solomon) would require for their expression forty- four figures of the decimal notation; yet this improbable event has certainly happened.
Ronald Fisher
There may be aliens in our Milky Way galaxy, and there are billions of other galaxies. The probability is almost certain that there is life somewhere in space.
Buzz Aldrin
Embrace the probability of your imminent death.... and know there is nothing i can do to save you.
Suzanne Collins
In theoretical science, the question is-What are we to think? and when a doubtful point arises, for the solution of which either experimental data are wanting, or mathematical methods are not sufficiently advanced, it is the duty of philosophic minds not to dispute about the probability of conflicting suppositions, but to labour for the advancement of experimental inquiry and of mathematics, and await patiently the time when they shall be adequate to solve the question.
William John Macquorn Rankine
The confidence we experience as we make a judgment is not a reasoned evaluation of the probability that it is right. Confidence is a feeling, one determined mostly by the coherence of the story and by the ease with which it comes to mind, even when the evidence for the story is sparse and unreliable. The bias toward coherence favors overconfidence. An individual who expresses high confidence probably has a good story, which may or may not be true.
Daniel Kahneman
Subjective confidence in a judgement is not a reasoned evaluation of the probability that this judgement is correct. Confidence is a feeling, which reflects the coherence of the information and the cognitive ease of processing it. It is wise to take admissions of uncertainty seriously, but declarations of high confidence mainly tell you that an individual has constructed a coherent story in his mind, not necessarily that the story is true.
Daniel Kahneman
Many unfortunate human situations unfold [...] where people who face very bad options take desperate gambles, accepting a high probability of making things worse in exchange for a small hope of avoiding a large loss. Risk taking of this kind often turns manageable failures into disasters.
Daniel Kahneman
His fertility cycles meant little to him. In his lifetime, he knew, he might make only one or two real contributions to the City's genetic continuity, his viral gametes combining with others in the bodies of the night feeders to become morphologically active. It was abstractly pleasing, though, to realize he had cast his own essence into the ocean of probability, where it might come floating back unknown to him, as a fresh citizen with new and unique ideas and odors.
Robert Charles Wilson
If you trace back all those links in the chain that had to be in place for me to be here, the laws of probability maintain that my very existence is miraculous. But then after however many decades, less than a hundred years, they disburse and I cease to be. So while they're all congregated and coordinated to make me, then-and I speak her on behalf of all those trillions of atoms-I should really make the most of things.
Jim Al-Khalili
The Doomsday Machine is not sufficiently controllable. Even though it maximizes the probability that deterrence will work (including minimizing the probability of accidents or miscalculations), it is totally unsatisfactory. One must still examine the consequences of a failure. In this case a failure kills too many people and kills them too automatically. There is no chance of human intervention, control, and final decision.And even if we give up the computer and make the Doomsday Machine reliably controllable by the decision makers, it is still not controllable enough. Neither NATO nor the United States, and possibly not even the Soviet Union, would be willing to spend billions of dollars to give a few individuals this particular kind of life and death power over the entire world.
Herman Kahn
I do hereby and forever abandon abandoning all hope. Honestly, I give up on giving up. I'm just not cut out to be some hopeless, disillusioned wretch with no aspirations for the rest of the eternity, sprawled catatonic in my own feces on a cold stone floor. In all probability the Human Genome Project will, someday, find that I carry some recessive gene for optimism, because despite all my best efforts I still can't scrape together even a couple of days of hopelessness. Future scientists would call it Pollyanna Syndrome, and if forced to guess, I'd say that mine has been a way-long case of history chasing rainbows.
Chuck Palahniuk
The paper develops a new theory for the analysis of games with incomplete information where the players are uncertain about some important parameters of the game situation, such as the payoff functions, the strategies available to various players, the information other players have about the game, etc. However, each player has a subjective probability distribution over the alternative possibilities. In most of the paper it is assumed that these probability distributions entertained by the different players are mutually "consistent," in the sense that they can be regarded as conditional probability distributions derived from a certain "basic probability distribution" over the parameters unknown to the various players. But later the theory is extended also to cases where the different players' subjective probability distributions fail to satisfy this consistency assumption.
John Harsanyi
Statistically, the probability of any one of us being here is so small that you'd think the mere fact of existing would keep us all in a contented dazzlement of surprise.
Lewis Thomas
By induction we gain no certain knowledge; but by observation, and the inverse use of deductive reasoning, we estimate the probability that an event which has occurred was preceded by conditions of specified character, or that such conditions will be followed by the event. ...I have no objection to use the words cause and causation, provided they are never allowed to lead us to imagine that our knowledge of nature can attain to certainty. ...We can never recur too often to the truth that our knowledge of the laws and future events of the external world are only probable.
William Stanley Jevons
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