Probabilities Quotes

“I have stressed this distinction because it is an important one. It defines the fundamental difference between probability and statistics: the former concerns predictions based on fixed probabilities”

“I have stressed this distinction because it is an important one. It defines the fundamental difference between probability and statistics: the former concerns predictions based on fixed probabilities”

“A distinguished writer [Siméon Denis Poisson] has thus stated the fundamental definitions of the science:'The probability of an event is the reason we have to believe that it has taken place, or that it will take place.''The measure of the probability of an event is the ratio of the number of cases favourable to that event, to the total number of cases favourable or contrary, and all equally possible' (equally like to happen).From these definitions it follows that the word probability, in its mathematical acceptation, has reference to the state of our knowledge of the circumstances under which an event may happen or fail. With the degree of information which we possess concerning the circumstances of an event, the reason we have to think that it will occur, or, to use a single term, our expectation of it, will vary. Probability is expectation founded upon partial knowledge. A perfect acquaintance with all the circumstances affecting the occurrence of an event would change expectation into certainty, and leave neither room nor demand for a theory of probabilities.”

“The Hartle-Hawking derivation of the unconditional probability of the existence of a universe of our sort is inconsistent with classical theism. The unconditional probability is very high, near to 1. For purposes of simplification, we are saying the probability is 99 percent; there is a 99 percent probability that a universe of our sort—I will call it a Hartle-Hawking universe—exists uncaused.The universe exists uncaused since the probability amplitude is determined by a summation or path integral over all possible histories of a finite universe. That is, the probability that a Hartle-Hawking universe exists follows directly from the natural-mathematical properties of possible finite universes; there is no need for a cause, probabilistic or otherwise, for there to be a 99 percent probability that a Hartle-Hawking universe will exist.This is not consistent with classical theism. According to classical theism, if a universe is to have any probability of existing, this probability is dependent on God's dispositions, beliefs, or choices. But the Hartle-Hawking probability is not dependent on any supernatural states or acts; Hartle and Hawking do not sum over anything supernatural in their path integral derivation of the probability amplitude.Furthermore, according to classical theism, the probability that a universe exist without divine causation is 0, and the probability that if a universe exists, it is divinely caused, is 1. Thus, the probabilities that are implied by classical theism are inconsistent with the probabilities implied by the Hartle-Hawking wave function of the universe.”

“Stop living the life with possibilities and probabilities, live the life with certainties.”

“The century of Einstein and Planck was also the century of Hitler. The Gestapo and the scientific renaissance were children of the same age. How humane the nineteenth century seemed, that century of naive physics, when compared with the twentieth century, the century that had killed his [Viktor's] mother. There is a terrible similarity between the principles of Fascism and those of contemporary physics.Fascism has rejected the concept of a separate individuality, the concept of "a man," and operates only with vast aggregates. Contemporary physics speaks of the greater or lesser probability of occurrences within this or that aggregate of individual particles. And are not the terrible mechanics of Fascism founded on the principle of quantum politics, of political probability?Fascism arrived at the idea of the liquidation of entire strata of the population, of entire nations and races, on the grounds that there was a greater probability of overt or covert opposition among these groupings than among others: the mechanics of probabilities and of human aggregates.But no! No! And again no! Fascism will perish for the very reason that it has applied to man the laws applicable to atoms and cobblestones!Man and Fascism cannot co-exist. If Fascism conquers, man will cease to exist and there will remain only man-like creatures that have undergone an internal transformation. But if man, man who is endowed with reason and kindness, should conquer, then Fascism must perish, and those who have submitted to it will once again become people.”

“Ignorance gives one a large range of probabilities.”

“Today, and let us celebrate this fact, We can eat the light of our beloved, warmed by compassion or cooled by intellectual feeling. And if we are surprised, and some of us disappointed, that the light is now only green - well, such was the vital probability awaiting us. We have, after all, an increase in the energy available for further evolution; we can use the energy of our position relative to the probabilities in the future to reach the future we desire. The full use of this energy is just beginning to be explored, and we have the opportunity open to few generations to create our best opportunities. We must not slacken in our desire now if we desire a future. The pressure of probabilities on the present increases the momentum of evolution, and as the voluble helix turns, and turns us away from our improbable satiation, we can see that the shadow cast on the present from the future is not black but rainbowed, brilliant with lemon yellow, plum-purple, and cherry-red. I have no patience with those who say that their desire for light is satisfied. Or that they are bored. I have myself a still unsatisfied appetite for green: eucalyptus, celadon, tourmaline, and apple. ("Desire")”

“With respect to the requirement of art, the probable impossible is always preferable to the improbable possible.”

“Statistics, likelihoods, and probabilities mean everything to men, nothing to God.”

“Religious faith depends on a host of social, psychological and emotional factors that have little or nothing to do with probabilities, evidence and logic.”