It is a part of probability that many improbable things will happen.
Once we see, however, that the probability of life originating at random is so utterly miniscule as to make it absurd, it becomes sensible to think that the favorable properties of physics on which life depends are in every respect deliberate ... . It is therefore almost inevitable that our own measure of intelligence must reflect ... higher intelligences ... even to the limit of God ... such a theory is so obvious that one wonders why it is not widely accepted as being self-evident. The reasons are psychological rather than scientific.fred hoyle
It is confirmed that the Armenians should be transferred to the indicated region as communicated in the February 13th telegram. As the situation has been evaluated by the state, the probability of rebellion and protest indicates the need to take action. The increasing possibility of Armenian uprisings requires that every effective means of suppression needs to be applied.mehmed talat
A point of great importance would be first to know: what is the capacity of the earth? And what charge does it contain if electrified? Though we have no positive evidence of a charged body existing in space without other oppositely electrified bodies being near, there is a fair probability that the earth is such a body, for by whatever process it was separated from other bodies — and this is the accepted view of its origin — it must have retained a charge, as occurs in all processes of mechanical separation.nikola tesla
In all probability I'll lose my virility And you your fertility And desirability, And this liability Of total sterility Will lead to hostility And a sense of futility, So let's act with agility While we still have facility, For we'll soon reach senility And lose the ability.tom lehrer
We may not be able to get certainty, but we can get probability, and half a loaf is better than no bread
If scientific reasoning were limited to the logical processes of arithmetic, we should not get far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability. The abacus, with its beads strung on parallel wires, led the Arabs to positional numeration and the concept of zero many centuries before the rest of the world; and it was a useful tool so useful that it still exists.
probability is a liberal art; it is a child of skepticism, not a tool for people with calculators on their belts to satisfy their desire to produce fancy calculations and certainties.nassim nicholas taleb
Generally, a betting system for which each wager depends only on present resources and present probability of success is known as a Markov betting system.richard arnold epstein
The function just found cannot, it is true, express rigorously the probabilities of the errors: for since the possible errors are in all cases confined within certain limits, the probability of errors exceeding those limits ought always to be zero, while our formula always gives some value. However, this defect, which every analytical function must, from its nature, labor under, is of no importance in practice, because the value of our function decreases so rapidly... that it can safely be considered as vanishing. Besides, the nature of the subject never admits of assigning with absolute rigor the limits of error.carl friedrich gauss
Opinion is the companion of probability within the medieval epistemology.ian hacking
The grand assertion is that you must see the world through probability and that probability is the only guide you need.dennis lindley
Whatever way uncertainty is approached, probability is the only sound way to think about it.dennis lindley
It is a part of probability that many improbable things will happen.agathon
Broken by it, I, too, may be; bow to it I never will. The probability that we may fall in the struggle ought not to deter us from the support of a cause we believe to be just; it shall not deter me.Abraham Lincoln
It’s not unlikely that God would lie that would be a matter of probability. It is impossible for God to lie.james macdonald
Scientists whose work has no clear, practical implications would want to make their decisions considering such things as: the relative worth of (1) more observations, (2) greater scope of his conceptual model, (3) simplicity, (4) precision of language, (5) accuracy of the probability assignment.
A point of great importance would be first to know: what is the capacity of the earth? And what charge does it contain if electrified? Though we have no positive evidence of a charged body existing in space without other oppositely electrified bodies being near, there is a fair probability that the earth is such a body, for by whatever process it was separated from other bodies and this is the accepted view of its origin it must have retained a charge, as occurs in all processes of mechanical separation.
The terms synthesis and analysis are used in mathematics in a more special sense than in logic. In ancient mathematics they had a different meaning from what they now have. The oldest definition of mathematical analysis as opposed to synthesis is that given in Euclid , XIII. 5, which in all probability was framed by Eudoxus: "Analysis is the obtaining of the thing sought by assuming it and so reasoning up to an admitted truth; synthesis is the obtaining of the thing sought by reasoning up to the inference and proof of it."
The epistemological value of probability theory is based on the fact that chance phenomena, considered collectively and on a grand scale, create non-random regularity.
As is known, the question of the objectivity or the subjectivity of probability has divided the world of science into two camps. Some maintain that there exist two types of probability, as above, others, that only the subjective exists, because regardless of what is supposed to take place, we cannot have full knowledge of it. Therefore, some lay the uncertainty of future events at the door of our knowledge of them, whereas others place it within the realm of the events themselves.
In 1925, the world view of physics was a model of a great machine composed of separable interacting material particles. During the next few years, Schrodinger and Heisenberg and their followers created a universe based on super imposed inseparable waves of probability amplitudes. This new view would be entirely consistent with the Vedantic concept of All in One.
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 . We are alive against the stupendous odds of genetics , infinitely outnumbered by all the alternatives who might, except for luck , be in our places.
probability fractions arise from our knowledge and from our ignorance.ian hacking