“As mathematical and absolute certainty is seldom to be attained in human affairs, reason and public utility require that judges and all mankind in forming their opinions of the truth of facts should be regulated by the superior number of the probabilities on the one side or the other whether the amount of these probabilities be expressed in words and arguments or by figures and numbers.”

Reported in Andrew Stuart, Letters to the Right Honorable Lord Mansfield (1773), p. 29.

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William Murray, 1st Earl of Mansfield7

British judge 1705–1793

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“[P]robability as a measurable degree of certainty; necessity and chance; moral versus mathematical expectation; a priori an a posteriori probability; expectation of winning when players are divided according to dexterity; regard of all available arguments, their valuation, and their calculable evaluation; law of large numbers…”

Jacob Bernoulli book Ars Conjectandi

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“It is true that M. Fourier had the opinion that the principal end of mathematics was the public utility and the explanation of natural phenomena; but such a philosopher as he is should have known that the unique end of science is the honor of the human mind, and that from this point of view a question of number is as important as a question of the system of the world.”

Carl Gustav Jacob Jacobi (1804–1851) German mathematician

Letter to Legendre (July 2, 1830) in response to Fourier's report to the Paris Academy Science that mathematics should be applied to the natural sciences, as quoted in Science (March 10, 1911) Vol. 33 https://books.google.com/books?id=4LU7AQAAMAAJ&pg=PA359, p.359, with additional citations and dates from H. Pieper, "Carl Gustav Jacob Jacobi," Mathematics in Berlin (2012) p.46

“From principles is derived probability, but truth or certainty is obtained only from facts.”

Tom Stoppard (1937) British playwright

From principles is derived probability, but truth is obtained only from facts. - Jesse Olney (1798 - 1872), The National Preceptor (Goodwin, 1830), Lesson LXXXV: "Select Sentences," rule # 19 (p. 171).
Misattributed

“[In 1956], Prohibition we have to make it successful. To whatever extent we go forward it must be attained effectively. We are told that only a very small percentage drink in India. That should be an added reason for carrying out prohibition because it should be easier to make it successful. When large numbers drink there is a no strong opinion against it. But if ninety percent do not, it is reservoir of public opinion which if utilized properly is a guarantee of success of prohibition.”

Gulzarilal Nanda (1898–1998) Prime Minister of India

In p. 41
Prohibition was made an integral part of the Second Fiver Plan in March 1956.
Gulzarilal Nanda: A Life in the Service of the People

“The truth is, however, that every religion form is superior to the others in a particular respect, and it is this characteristic that in fact indicates the sufficient reason for the existence of that form.”

Frithjof Schuon book The Transcendent Unity of Religions

The Transcendent Unity of Religions (1953; revised edition 1984)

“If there were anything fixed in nature, if there were truths, all of this would, of course, be wrong. But fortunately, all truths are erroneous. This is the very essence of the dialectical process: today's truths become errors tomorrow; there is no final number.
This truth (the only one) is for the strong alone. Weak-nerved minds insist on a finite universe, a last number; they need, in Nietzsche's words, "the crutches of certainty."”

Yevgeny Zamyatin (1884–1937) Russian author

The weak-nerved lack the strength to include themselves in the dialectic syllogism.
On Literature, Revolution, Entropy and Other Matters (1923)

“It remains to discuss briefly what general requirements may be justly laid down for the solution of a mathematical problem. I should say first of all, this: that it shall be possible to establish the correctness of the solution by means of a finite number of steps based upon a finite number of hypotheses which are implied in the statement of the problem and which must always be exactly formulated. This requirement of logical deduction by means of a finite number of processes is simply the requirement of rigor in reasoning.”

David Hilbert Mathematical Problems

Mathematical Problems (1900)

“Truth may be found in the heart of a philosopher but seldom in the figures of a statistician; it is far too delicate a thing to be pinned down to columns of numbers on ruled paper.”

Louis Bromfield (1896–1956) American author and conservationist

The Work of Robert Nathan (1920)

“A distinguished writer (Siméon Denis Poisson) has thus stated the fundamental definitions of the science:
:"The probability of an event is the reason we have to believe that it has taken place, or that it will take place."
:"The measure of the probability of an event is the ratio of the number of cases favourable to that event, to the total number of cases favourable or contrary, and all equally possible" (equally like to happen).
From these definitions it follows that the word probability, in its mathematical acceptation, has reference to the state of our knowledge of the circumstances under which an event may happen or fail. With the degree of information which 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.”

George Boole (1815–1864) English mathematician, philosopher and logician

Source: 1850s, An Investigation of the Laws of Thought (1854), p. 243-4; As cited in: "George Boole (1815–64)" in: Oxford Dictionary of Scientific Quotations, Edited by W. F. Bynum and Roy Porter, January 2006

“[If] our actions have even the slightest effect on the probability of eventual colonization, this will outweigh their effect on when colonization takes place. For standard utilitarians, priority number one, two, three and four should consequently be to reduce existential risk. The utilitarian imperative “Maximize expected aggregate utility!””

Nick Bostrom (1973) Swedish philosopher

can be simplified to the maxim “Minimize existential risk!” <br class="br"> Astronomical Waste: The Opportunity Cost of Delayed Technological Development https://nickbostrom.com/astronomical/waste.html (2003)

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