“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.”

— Charles Babbage , Passages from the life of a philosopher

"Passages from the life of a philosopher", Appendix: Miracle. Note (A), p. 88
Passages from the Life of a Philosopher (1864)

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Charles Babbage 40

mathematician, philosopher, inventor and mechanical enginee… 1791–1871

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“We must be careful to discriminate between our own incapacity to test truth and the necessary improbability of an event. It is plain that from our ignorance of the remote spheres of God's action we cannot judge of His works removed from our experience; but a fact is not necessarily doubtful because it cannot be reached by our ordinary senses. To recapitulate, we may lay down the following propositions:
1. That there is no real physical distinction between miracles and any other operations of the Divine energy : that we regard them differently is because we are familiar with one order of events and not the other.
2. There is nothing incredible in a miracle, and the credibility of a miraculous event is to be measured only by the evidence which sustains it. And although the extraordinary character of a phenomenon may render the event itself improbable, it does not, therefore, necessarily render it either incredible or untrue.”

Charles Babbage Passages from the life of a philosopher

"Passages from the life of a philosopher", Appendix, p. 489
Passages from the Life of a Philosopher (1864)

“Mill, in speaking of Hume's celebrated principle, "that nothing is credible which is contradictory to experience, or at variance with the laws of nature," calls it a very plain and harmless proposition, being, in effect, nothing more than that whatever is contradictory to a complete induction is incredible. Admit the existence of a Deity, and the possibility of a miracle is the natural consequence. No doubt our examination of the evidence which sustains an unusual phenomenon should be most carefully conducted; but we must not measure the credibility or incredibility of an event by the narrow sphere of our own experience, nor forget that there is a Divine energy which overrides what we familiarly call the laws of nature.”

Charles Babbage Passages from the life of a philosopher

"Passages from the life of a philosopher", Appendix, p. 488
Passages from the Life of a Philosopher (1864)

“A very eminent writer has observed, that "the conversion of the Gentile world, whether we consider the difficulties attending it, the opposition made to it, the wonderful work wrought to accomplish it, or the happy effects and consequences of it, may be considered as a more illustrious evidence of God's power, than even our Saviour's miracles of casting out devils, healing the sick, and raising the dead." Indeed, a miracle said to have been wrought without any attending circumstances to justify such an exertion of divine power, could not easily be rendered credible; and our author's argument proves no more. If it were related, that about 1700 years ago, a man was raised from the dead, without its answering any other end than that of restoring him to life, Iconfess that no degree of evidence could induce me tobelieve it; but if the moral government of God appeared in that event, and there were circumstances attending it which could not be accounted for by any human means, the fact becomes credible. When two extraordinary events are thus connected, the proof of one established the truth of the other. Our author has reasoned upon the fact as standing alone, in which case it would not be easy to disprove some of his reasoning; but the fact should be considered in a moral view - as connected with the establishment of a pure religion, and it then becomes credible. In the proof of any circumstance, we must consider every principle which tends to establish it; whereas our author, by considering the case of a man said to have been raised from the dead, simpli in a physical point of view, without any reference to a moral end, endavours to show that it cannot be rendered credible; and, from such principles, we may admit his conclusions without affecting the credibility of Christianity. The general principle on which he establishes his argument, is not the great foundation upon which the evidence of Christianity rests. He says, "Notestimony can be sufficient to establish a miracle, unless it be of such a kind, that the falsehood would be more miraculous than the fact which it endavours to prove." Now this reasoning, at furthest, can only be admitted in those cases where the fact has nothing but testimony to establish it. But the proofs of Christianity do not rest simply upon the testimony of its first promulgators, and that of those who were affterwards the instruments of communicating it; but they rest principally upon the acknowledged and very extraordinary affects which were produced by the preaching of a few unlearned, obscure persons, who taught "Christ crucified;" and it is upon these indisuptable matters of ffact which we reason; and when the effects are totally unaccountable upon any principle which we can collect from the operation of human means, we must either admit miracles, or admit an effect without an adequate cause. Also, when the proof of any position depends upon arguments drawn from various sources, all concutring to establish its turh, to select some one circumstance, and atrempt to show that that alone is not sufficient to render the fact credible, and thence infer that it is not ture, is a conclusion not to be admitted. But it is thus that our author has endavoured to destroy the credibiliry of Christianity, the evidences of which depend upon a great variety of circumstances and facts which are indisputably true, all cooperating to confirm its truth; but an examination of these falls not whithin the plan here proposed. He rests all his arguments upon the extraordinary nature of the fact, considered alone by itself; for a common fact, with the same evidence, would immediately be admitted. I have endavoured to show, that the extraordinary nature, as much as the mosst common events are necessary to fulfill the usual dispensations of Providence, and therefore the Deity was then direted by the same motive as in a more ordinary case, that of affording us such assitance as our moral condition renders necessary. In the establishment of a pur religion, the proof of its divine origin may require some very extraordinary circumstances which may never afterwards be requisite, and accordingly we find that they have not happened. Here is therefore a perfect concistencty in the operation of the Deity, in his moral government, and not a violation of the laws of nature: Secondly, the fact is immediately connected with others which are indisputably true, and which, without the supossition of the truth of that fact, would be, at least, equally miraculous. Thus I conceive the reasoning of our author to be totally inconclusive; and the argumentss which have been employed to prove the fallacy of his conclusions, appear at the same time, fully to justify our belief in, and prove the moral certainty of, our holy religion.”

Samuel Vince (1749–1821) British mathematician, astronomer and physicist

Source: The Credibility of Christianity Vindicated, p. 27; As quoted in " Book review http://books.google.nl/books?id=52tAAQAAMAAJ&pg=PA262," in The British Critic, Volume 12 (1798). F. and C. Rivington. p. 262-263

“If an event really happened which was not a part of the uniformity of nature, it would have two properties: no evidence could give the right to believe it to any except those whose actual experience it was; and no inference worthy of belief could be founded upon it at all.
Are we then bound to believe that nature is absolutely and universally uniform? Certainly not; we have no right to believe anything of this kind. The rule only tells us that in forming beliefs which go beyond our experience, we may make the assumption that nature is practically uniform so far as we are concerned. Within the range of human action and verification, we may form, by help of this assumption, actual beliefs; beyond it, only those hypotheses which serve for the more accurate asking of questions.”

William Kingdon Clifford (1845–1879) English mathematician and philosopher

The Ethics of Belief (1877), The Limits Of Inference

“The basis of the [scientific] method is a belief in natural uniformity – if two events are regularly connected in our observations we can conclude that they obey a universal law. But this is not a conclusion we reach by observation. No amount of evidence can demonstrate the existence of laws of nature, since new experience can always overturn them. Science rests on the belief that the future will be like the past; but that belief is rationally groundless. This is not a new line of thinking. David Hume argued that the expectation that the future will be like the past, which is the basis of induction, is a matter of habit. Hume wanted to show that since miracles transgress known laws of nature it was unreasonable to accept reports of them, in the Bible or anywhere else. But his arguments against induction showed that the laws of nature could not in fact be known, so events that seemed impossible could happen at any time. The upshot was that faith in miracles returned by the back door of sceptical doubt.”

John Gray (1948) British philosopher

Cross-correspondences (p. 68)
The Immortalization Commission: The Strange Quest to Cheat Death (2011)

“My novels offer an extreme hypothesis which future events may disprove — or confirm. They're in the nature of long-range weather forecasts.”

J. G. Ballard (1930–2009) British writer

As quoted in "Age of unreason" by Jeannette Baxter in The Guardian (22 June 2004) http://www.guardian.co.uk/books/2004/jun/22/sciencefictionfantasyandhorror.jgballard
Context: The notions about the benefits of transgression in my last three novels are not ones I want to see fulfilled. Rather, they are extreme possibilities that may be forced into reality by the suffocating pressures of the conformist world we inhabit. Boredom and a deadening sense of total pointlessness seem to drive a lot of meaningless crimes, from the Hungerford and Columbine shootings to the Dando murder, and there have been dozens of similar crimes in the US and elsewhere over the past 30 years.
These meaningless crimes are much more difficult to explain than the 9/11 attacks, and say far more about the troubled state of the western psyche. My novels offer an extreme hypothesis which future events may disprove — or confirm. They're in the nature of long-range weather forecasts.

“I am more and more convinced that our happiness or our unhappiness depends far more on the way we meet the events of life than on the nature of those events themselves.”

Wilhelm Von Humboldt (1767–1835) German (Prussian) philosopher, government functionary, diplomat, and founder of the University of Berlin

As quoted in Lightning Fast Enlightenment: A Journey to the Secrets of Happiness (2000) by Jordan S. Metzger, p. 9

“Natural science is the attempt to comprehend nature by precise concepts.
According to the concepts by which we comprehend nature not only are observations completed at every instant but also future observations are pre-determined as necessary, or, in so far as the concept-system is not quite adequate therefor, they are predetermined as probable; these concepts determine what is "possible" (accordingly also what is "necessary," or the opposite of which is impossible), and the degree of the possibility (the "probability") of every separate event that is possible according to them, can be mathematically determined, if the event is sufficiently precise.
If what is necessary or probable according to these concepts occurs, then the latter are thereby confirmed and upon this confirmation by experience rests our confidence in them. If, however, something happens which according to them is not expected and which is therefore according to them impossible or improbable, then arises the problem so to complete them, or if necessary, to transform them, that according to the completed or ameliorated concept-system, what is observed ceases to be impossible or improbable. The completion or amelioration of the concept-system forms the "explanation" of the unexpected observation. By this process our comprehension of nature becomes gradually always more complete and assured, but at the same time recedes even farther behind the surface of phenomena.”

Bernhard Riemann (1826–1866) German mathematician

Theory of Knowledge
Gesammelte Mathematische Werke (1876)

“It is the event that is the immediate entity of perception; Nature is the sum-total of events, and every instrument of thought that our minds employ can be traced back to its ultimate origin in events.”

Herbert Dingle (1890–1978) British astronomer

pages 12–13 https://books.google.com/books?id=hwpKAAAAIAAJ&pg=PA12
Relativity for All, London, 1922

“Scientific men get an awkward habit — no, I won't call it that, for it is a valuable habit — of believing nothing unless there is evidence for it; and they have a way of looking upon belief which is not based upon evidence, not only as illogical, but as immoral.”

Thomas Henry Huxley (1825–1895) English biologist and comparative anatomist

Thomas Henry Huxley. "Lectures on Evolution Title: This is Essay# 3 from" Science and Hebrew Tradition." (1882); as cited in: William Trufant Foster, (1908) Argumentation and debating, p. 55
1880s

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