A Quote by Andrew Michael Ramsay

The source of Pyrrhonism comes from failing to distinguish between a demonstration, a proof and a probability. A demonstration supposes that the contradictory idea is impossible; a proof of fact is where all the reasons lead to belief, without there being any pretext for doubt; a probability is where the reasons for belief are stronger than those for doubting.
There is nothing in the nature of a miracle that should render it incredible:;: its credibility depends upon the nature of the evidence by which it is supported. An event of extreme probability will not necessarily command our belief unless upon a sufficiency of proof; and so an event which we may regard as highly improbable may command our belief if it is sustained by sufficient evidence. So that the credibility or incredibility of an event does not rest upon the nature of the event itself, but depends upon the nature and sufficiency of the proof which sustains it.
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.
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.
I never let the thought of failure enter my mind. My knowledge of my unity with the Universal One and the fact that I must do this thing, and the inspired belief I should do it as a demonstration of my belief in man's unlimited power, made me ignore the difficulties that lay in the way.
Faith isn't absence of doubt. It's belief without proof, not without question.
What God declares the believing heart confesses without the need of further proof. Indeed, to seek proof is to admit doubt, and to obtain proof is to render faith superfluous.
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.
I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible.
One demonstration of extremists, any more than a Ku Klux Klan demonstration in the United States, is not necessarily reflective of what the rest of the country feels.
The hardest part about gaining any new idea is sweeping out the false idea occupying that niche. As long as that niche is occupied, evidence and proof and logical demonstration get nowhere. But once the niche is emptied of the wrong idea that has been filling it:; once you can honestly say, "I don't know", then it becomes possible to get at the truth.
Hope is the belief in the probability of the possible rather than the necessity of the probable.
The Strength of a hero is not in her abilities. In her weapons. These things are important, but they are not the source of her strength. The source of her strength is in her belief in an idea – the idea that those who are strong, and those who are able, protect those who are not, and those who cannot protect themselves. The idea that the good, and the right, will triumph. She is willing to put herself in harm’s way – in mortal danger – to prove her belief in this idea.” “That it is the duty of those who have within themselves the power, and the gift, to help others.
To say that an idea is necessary is simply to affirm that we cannot conceive the contrary; and the fact that we cannot conceive the contrary of any belief may be a presumption, but is certainly no proof, of its truth.
The key point about a demonstration is that it must be seen. Hence the term "demonstration." If a person demonstrates privately in his own home, this is not technically a demonstration but merely "acting silly" or "behaving like an ass.
A proof is a proof. What kind of a proof? It's a proof. A proof is a proof. And when you have a good proof, it's because it's proven.
Probability and expectation are not the same. Its probability and probability times the pay off.
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