A Quote by Christopher Monckton
You can't prove any hypothesis, you can only improve or disprove it.
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Given a conjecture, the best thing is to prove it. The second best thing is to disprove it. The third best thing is to prove that it is not possible to disprove it, since it will tell you not to waste your time trying to disprove it. That's what Gödel did for the Continuum Hypothesis.
However the machine would permit us to test the hypothesis for any special value of n. We could carry out such tests for a sequence of consecutive values n=2,3,.. up to, say, n=100. If the result of at least one test were negative, the hypothesis would prove to be false; otherwise our confidence in the hypothesis would increase, and we should feel encouraged to attempt establishing the hypothesis, instead of trying to construct a counterexample.
Any physical theory is always provisional, in the sense that it is only a hypothesis: you can never prove it.
[Coining phrase "null hypothesis"] In relation to any experiment we may speak of this hypothesis as the "null hypothesis," and it should be noted that the null hypothesis is never proved or established, but is possibly disproved, in the course of experimentation. Every experiment may be said to exist only in order to give the facts a chance of disproving the null hypothesis.
There is no logical impossibility in the hypothesis that the world sprang into being five minutes ago, exactly as it then was, with a population that "remembered" a wholly unreal past. There is no logically necessary connection between events at different times; therefore nothing that is happening now or will happen in the future can disprove the hypothesis that the world began five minutes ago.
Sexual harassment is as difficult to prove as it is to disprove.
We cannot, of course, disprove God, just as we can't disprove Thor, fairies, leprechauns, and the Flying Spaghetti Monster. But, like those other fantasies that we can't disprove, we can say that God is very, very improbable.
Any physical theory is always provisional, in the sense that it is only a hypothesis: you can never prove it. No matter how many times the results of experiments agree with some theory, you can never be sure that the next time the result will not contradict the theory.
Incidentally, when we're faced with a "prove or disprove," we're usually better off trying first to disprove with a counterexample, for two reasons: A disproof is potentially easier (we need just one counterexample); and nitpicking arouses our creative juices. Even if the given assertion is true, our search for a counterexample often leads to a proof, as soon as we see why a counterexample is impossible. Besides, it's healthy to be skeptical.
Science's tools will never prove or disprove God's existence.
Skeptics question the validity of a particular claim by calling for evidence to prove or disprove it.
With all the media attention, all the love from the fans, I felt I needed to prove myself. Prove that I'm not a marketing tool, I'm not a ploy to improve attendance. Prove I can play in this league. But I've surrendered that to God. I'm not in a battle with what everybody else thinks anymore.
No one will presumably ever be able to prove or disprove such fundamental religious principles as the existence of God.
We cannot, of course, disprove God, just as we can't disprove Thor, fairies, leprechauns and the Flying Spaghetti Monster.
Faith isn't about logic, son," Haddek said. "Perhaps that's your problem. You cannot 'disprove' the things you study, any more than we can prove to you that the Hero will save us. We simply must believe it, and accept the things Preservation has taught us.
If we consistently act on the optimistic hypothesis, this hypothesis will tend to be realised; whilst by acting on the pessimistic hypothesis we can keep ourselves for ever in the pit of want.
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