A Quote by David Hume
All knowledge degenerates into probability.
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Love of goodness without love of learning degenerates into simple-mindedness. Love of knowledge without love of learning degenerates into utter lack of principle. Love of faithfulness without love of learning degenerates into injurious disregard of consequences. Love of uprightness without love of learning degenerates into harshness. Love of courage without love of learning degenerates into insubordination. Love of strong character without love of learning degenerates into mere recklessness.
It has been pointed out already that no knowledge of probabilities, less in degree than certainty, helps us to know what conclusions are true, and that there is no direct relation between the truth of a proposition and its probability. Probability begins and ends with probability.
All knowledge resolves itself into probability. ... In every judgment, which we can form concerning probability, as well as concerning knowledge, we ought always to correct the first judgment deriv'd from the nature of the object, by another judgment, deriv'd from the nature of the understanding.
I am convinced that it is impossible to expound the methods of induction in a sound manner, without resting them upon the theory of probability. Perfect knowledge alone can give certainty, and in nature perfect knowledge would be infinite knowledge, which is clearly beyond our capacities. We have, therefore, to content ourselves with partial knowledge - knowledge mingled with ignorance, producing doubt.
It follows that the word probability, in its mathematical acceptance, has reference to the state of our knowledge of the circumstances under which an event may happen or fail. With the degree of information 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 the expectation founded upon partial knowledge.
Probability and expectation are not the same. Its probability and probability times the pay off.
It was our use of probability theory as logic that has enabled us to do so easily what was impossible for those who thought of probability as a physical phenomenon associated with "randomness". Quite the opposite; we have thought of probability distributions as carriers of information.
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 grand assertion is that you must see the world through probability and that probability is the only guide you need.
Wisdom - meaning judgment acting on experience, common sense, available knowledge, and a decent appreciation of probability.
Without an allegiance to beauty, art degenerates into a caricature of itself. It is beauty that animates aesthetic experience, making it so seductive; but aesthetic experience itself degenerates into a kind of fetish or idol if it is held up as an end in itself, untested by the rest of life.
The empiric easily degenerates into the quack. He does not know where his knowledge begins or leaves off, and so when he gets beyond routine conditions he begins to pretend-to make claims for which there is no justification, and to trust to luck and to ability to impose upon others-to "bluff."
Probability fractions arise from our knowledge and from our ignorance.
Probability but no truth, facility but no freedom--it is owing to these two fruits that the tree of knowledge cannot be confused with the tree of life.
The probability that we will get into a car accident is a million times higher than the probability we will suffer as a result of terrorist act.
What patients seek is not scientific knowledge that doctors hide, but existential authenticity each person must find on her own... the angst of facing mortality has no remedy in probability.
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