We pride ourselves on being the only species that understands the concept of risk, yet we have a confounding habit of worrying about mere possibilities while ignoring probabilities, building barricades against perceived dangers while leaving ourselves exposed to real ones.
On moral grounds, I think that if you believe a certain outcome is a very possible outcome, you have an obligation to tell people that. With global warming, the probability of a bad outcome if we stay on our current emission trends is incredibly high. If you know a bad outcome is likely to happen, what right do you have not to communicate that? You go into a doctor's office, what are they going to do - not tell you the diagnosis?
The artist reserves the right to remove a blot on the landscape, to change positions of things, to suit his composition, providing only that he does not transgress the laws of probability.
Nature prefers the more probable states to the less probable because in nature processes take place in the direction of greater probability. Heat goes from a body at higher temperature to a body at lower temperature because the state of equal temperature distribution is more probable than a state of unequal temperature distribution.
A person who is psychic is following a line of probability to see a probable future; but it can change. Another causal fact will interfere and that future won't happen.
Opinion is the companion of probability within the medieval epistemology.
One: demonstrations always crash. And two: the probability of them crashing goes up exponentially with the number of people watching.
According to theism, if a universe is to have any probability of existing, this probability is dependent upon God's beliefs, desires and creative acts. But the Hartle-Hawking probability is not dependent on any supernatural considerations; Hartle and Hawking do not sum over anything supernatural in their path integral derivation of the probability amplitude.
The issue, as correctly emphasized by Carl Sagan, is the probability of the evolution of high intelligence and an electronic civilization on an inhabited world. Once we have life (and almost surely it will be very different from life on Earth), what is the probability of its developing a lineage with high intelligence? On Earth, among millions of lineages of organisms and perhaps 50 billion speciation events, only one led to high intelligence; this makes me believe in its utter improbability.
The atheist, agnostic, or secularist ... should insist on the need to engage in a meaningful debate on the entire issue of the truth or falsity (or probability or improbability) of religious tenets, without being subject to accusations of impiety, immorality, impoliteness, or any of the other smokescreens used by the pious to deflect attention from the central issues at hand.
The highest historical probability can be adduced in support of the proposition that, if it were possible to annihilate the Bible, and with it all its influences, we should destroy with it the whole spiritual system of the moral world.
If often happens too, both in courts and in cabinets, that there are two things going on together,--a main plot and an under-plot; and he that understands only one of them will, in all probability, be the dupe of both. A mistress may rule a monarch, but some obscure favorite may rule the mistress.
The probability that we face global warming caused by fossil fuels is now so overwhelming that it is legitimate to doubt the motives of those who deny it
It may be laid down as a general rule, that their confidence in and obedience to a government, will be commonly proportioned to the goodness or badness of its administration . . . . Various reasons have been suggested in the course of these papers, to induce a probability that the general government will be better administered than the particular governments.
It is a well-known fact that in countries in which the national debt is properly funded, and an object of established confidence, it answers most of the purposes of money. Transfers of stock, or public debt, are there equivalent to payments in specie; or, in other words, stock, in the principal transactions of business, passes current as specie. The same thing would, in all probability, happen here, under the like circumstances.
In far from equilibrium conditions, the concept of probability that underlies Boltzmann's order principle is no longer valid if the structures we observe do not correspond to a maximum of complexions
We come finally, however, to the relation of the ideal theory to real world, or "real" probability. If he is consistent a man of the mathematical school washes his hands of applications. To someone who wants them he would say that the ideal system runs parallel to the usual theory: "If this is what you want, try it: it is not my business to justify application of the system; that can only be done by philosophizing; I am a mathematician". In practice he is apt to say: "try this; if it works that will justify it".
While feeling far less injured by toil than my friends took for granted I must be, I yet was always aware of the strong probability that my life would end as the lives of hard literary workers usually end, - in paralysis, with months or years of imbecility.
The best practical advice then is: try to maximize your expected payoff, which is the sum of all payoffs multiplied by probabilities.
The historical museum has to be very conservative and careful in its choices. The modern museum, on the other hand, has to be audacious, to take chances. It has to consider the probability that it would be wrong in a good many cases and take the consequences later.
An electron is real; a probability is not.
The true power is in the imagination which dares to speculate upon that which is not yet. The imagination, backed by great expectations, can bring about almost any reality within the range of probabilities.
The United States can pay any debt it has because we can always print money to do that. So there is zero probability of default.
The idea is to buy when the probability is greatest that the market is going to advance.
Take the probability of loss times the amount of possible loss from the probability of gain times the amount of possible gain. That is what we're trying to do. It's imperfect, but that's what it's all about.
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