Okay, look at it this way: if the evening news has a very high probability of being accurate, then it's highly improbable that they would inaccurately report the numbers chosen in the lottery. That counterbalances any improbability in the choosing of those numbers, so you're quite rational to believe in this highly improbable event.
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Strobel, Lee (2000). The Case for Faith: A Journalist Investigates the Toughest Objections to Christianity. Grand Rapids: Zondervan. ISBN 9780310565703.William Lane Craig
» William Lane Craig - all quotes »
...it was Darwin’s chief contribution, not only to Biology but to the whole of natural science, to have brought to light a process by which contingencies a priori improbable, are given, in the process of time, an increasing probability, until it is their non-occurrence rather than their occurrence which becomes highly improbable. ... Let the reader ... attempt to calculate the prior probability that a hundred generations of his ancestry in the direct male line should each have left at least one son. The odds against such a contingency as it would have appeared to his hundredth ancestor (about the time of King Solomon) would require for their expression forty- four figures of the decimal notation; yet this improbable event has certainly happened.
Ronald Fisher
What was the Sherlock Holmes principle? 'Once you have discounted the impossible, then whatever remains, however improbable, must be the truth.'
I reject that entirely. The impossible often has a kind of integrity to it which the merely improbable lacks. How often have you been presented with an apparently rational explanation of something that works in all respects other than one, which is just that it is hopelessly improbable? Your instinct is to say 'Yes, but he or she simply wouldn't do that.'Douglas Adams
In the highly improbable event of his being asked to nominate the one most un-Jewish thing he could think of, Sefton Goldberg would have been hard pressed to decide between Nature – that's to say birds, trees, flowers, and country walks – and football – that's to say beer, bikies, mud, and physical pain.
Howard Jacobson
The idea of knowledge as an improbable structure is still a good place to start. Knowledge, however, has a dimension which goes beyond that of mere information or improbability. This is a dimension of significance which is very hard to reduce to quantitative form. Two knowledge structures might be equally improbable but one might be much more significant than the other.
Kenneth Boulding
It is a part of probability that many improbable things will happen.
Agathon
Craig, William Lane
Craik, Dinah
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