Quotations about:
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When one admits that nothing is certain one must, I think, also admit that some things are much more nearly certain than others. It is much more nearly certain that we are assembled here tonight than it is that this or that political party is in the right. Certainly there are degrees of certainty, and one should be very careful to emphasize that fact, because otherwise one is landed in an utter skepticism, and complete skepticism would, of course, be totally barren and completely useless.

Bertrand Russell
Bertrand Russell (1872-1970) English mathematician and philosopher
“Am I an Atheist or an Agnostic?” sec. “Skepticism” (1949)
    (Source)

Originally given as a speech, "Agnosticism v. Atheism," Rationalist Press Assoc. Annual Dinner, London (1949-05-20); then printed as "Agnosticism v. Atheism," The Literary Guide and Rationalist Review (1949-07); then released as an essay under this title later in 1949.
 
Added on 13-Mar-24 | Last updated 13-Mar-24
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Luck is probability taken personally.

Penn Jillette (b. 1955) American stage magician, actor, musician, author
(Attributed)

While Jillette says this often, he attributes it to statistician and fellow skeptic, Daniel "Chip" Denman.
 
Added on 3-Jun-21 | Last updated 3-Jun-21
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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.

William Murray, 1st Earl of Mansfield (1705-1793) British barrister, politician, judge, legal reformer
In Andrew Stuart, Letters to the Right Honorable Lord Mansfield (1773)
    (Source)

A restatement by Stuart of a point Mansfield made.
 
Added on 15-Feb-21 | Last updated 15-Feb-21
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There is no such thing as absolute certainty, but there is assurance sufficient for the purposes of human life.

John Stuart Mill (1806-1873) English philosopher and economist
On Liberty, ch. 2 “Of the Liberty of Thought and Discussion” (1959)
    (Source)

Mill is actually describing an argument he goes on to counter.
 
Added on 8-Feb-21 | Last updated 19-Oct-23
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There are inquiries in which scanty evidence is worth using. We may not be able to get certainty, but we can get probability, and half a loaf is better than no bread.

C. S. Lewis (1898-1963) English writer, literary scholar, lay theologian [Clive Staples Lewis]
“Historicism,” The Month (1950-10)
    (Source)

Regarding historical inquiry based on incomplete evidence. First reprinted in Christian Reflections (1967).
 
Added on 11-Jan-21 | Last updated 27-Mar-24
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Things never turn out either so well or so badly as they logically ought to do.

William Ralph Inge (1860-1954) English prelate [Dean Inge]
“The Future of the English Race,” Galton Lecture (1919), Outspoken Essays: First Series (1920)
    (Source)
 
Added on 30-Mar-20 | Last updated 30-Mar-20
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People are entirely too disbelieving of coincidence. They are far too ready to dismiss it and to build arcane structures of extremely rickety substance in order to avoid it. I, on the other hand, see coincidence everywhere as an inevitable consequence of the laws of probability, according to which having no unusual coincidence is far more unusual than any coincidence could possibly be.

Isaac Asimov (1920-1992) Russian-American author, polymath, biochemist
“The Planet that Wasn’t,” The Magazine of Fantasy and Science Fiction (May 1975)
    (Source)
 
Added on 10-May-16 | Last updated 10-May-16
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Scientists have calculated that the chances of something so patently absurd actually existing are millions to one. But magicians have calculated that million-to-one chances crop up nine times out of ten.

Terry Pratchett (1948-2015) English author
Mort (1987)
 
Added on 19-Aug-15 | Last updated 19-Aug-15
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And this actually makes sense, in the way Agathon puts it: “As you might expect, many improbable things do happen.”

[ἔστιν δὲ τοῦτο καὶ εἰκὸς ὥσπερ Ἀγάθων λέγει, εἰκὸς γὰρ γίνεσθαι πολλὰ καὶ παρὰ τὸ εἰκός.]

Aristotle (384-322 BC) Greek philosopher
Poetics [Περὶ ποιητικῆς, De Poetica], ch. 18 / 1456a (c. 335 BC) [tr. Whalley (1997)]
    (Source)

Original Greek. Alternate translations:

Such an event is probable in Agathon’s sense of the word: "It is probable," he says, "that many things should happen contrary to probability."
[tr. Butcher (1895)]

This is probable, however, only in Agathon's sense, when he speaks of the probability of even improbabilities coming to pass.
[tr. Bywater (1909)]

And there is a probability about such a results, for, as Agathon says, the improbable has a tendency to occur.
[tr. Margoliouth (1911)]

And this, as Agathon says, is a likely result, since it is likely that many quite unlikely things should happen.
[tr. Fyfe (1932)]

This is even probable, as Agathon says; for it is probable that many things will happen even against probability.
[tr. Janko (1987), sec. 4.3.7]

And this actually makes sense, in the way Agathon puts it: "As you might expect, many improbable things do happen."
[tr. Whalley (1997)]

And this is even likely in the sense in which Agathon speaks of it, since it is likely that many things happen contrary to what is likely.
[tr. Sachs (2006)]

This is not improbable, since, as Agathon remarks, it is probable that many improbable things should happen.
[tr. Kenny (2013)]

 
Added on 17-Sep-08 | Last updated 10-May-21
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For it is the mark of an educated man to look for precision in each class of things just so far as the nature of the subject admits; it is evidently equally foolish to accept probable reasoning from a mathematician and to demand from a rhetorician scientific proofs.

[πεπαιδευμένου γάρ ἐστιν ἐπὶ τοσοῦτον τἀκριβὲς ἐπιζητεῖν καθ᾽ ἕκαστον γένος, ἐφ᾽ ὅσον ἡ τοῦ πράγματος φύσις ἐπιδέχεται: παραπλήσιον γὰρ φαίνεται μαθηματικοῦ τε πιθανολογοῦντος ἀποδέχεσθαι καὶ ῥητορικὸν ἀποδείξεις ἀπαιτεῖν.]

Aristotle (384-322 BC) Greek philosopher
Nicomachean Ethics [Ἠθικὰ Νικομάχεια], Book 1, ch. 3 (1.3.4) / 1094b.24ff (c. 325 BC) [tr. Ross (1908)]
    (Source)

Possibly the source of this spurious Aristotle quote. (Source (Greek)). Alternate translations:

For the man of education will seek exactness so far in each subject as the nature of the thing admits, it being plainly much the same absurdity to put up with a mathematician who tries to persuade instead of proving, and to demand strict demonstrative reasoning of a Rhetorician.
[tr. Chase (1847), ch. 1]

It is the mark of an instructed mind to rest satisfied with the degree of precision which the nature of the subject admits and not to seek exactness where only an approximation is possible.
[Source (1852) - earliest version of this frequent translation I found.]

A man who has been well trained will not in any case look for more accuracy than the nature of the matter allows; for to expect exact demonstration from a rhetorician is as absurd as to accept from a mathematician a statement only probable.
[tr. Williams (1869)]

For an educated person will expect accuracy in each subject only so far as the nature of the subject allows; he might as well accept probable reasoning from a mathematician as require demonstrative proofs from a rhetorician.
[tr. Welldon (1892), ch. 2]

For it is the mark of an educated man to require, in each kind of inquiry, just so much exactness as the subject admits of: it is equally absurd to accept probable reasoning from a mathematician, and to demand scientific proof from an orator.
[tr. Peters (1893)]

For it is the mark of an educated mind to expect that amount of exactness in each kind which the nature of the particular subject admits. It is equally unreasonable to accept merely probable conclusions from a mathematician and to demand strict demonstration from an orator.
[tr. Rackham (1934)]

For it is characteristic of a well-educated person to look for the degree of exactness in each kind of investigation that the nature of the subject itself allows. For it is evident that accepting persuasive arguments from a mathematician is like demanding demonstrations from a rhetorician.
[tr. Reeve (1948)]

For a well-schooled man is one who searches for that degree of precision in each kind of study which the nature of the subject at hand admits: it is obviously just as foolish to accept arguments of probability from a mathematician as to demand strict demonstrations from an orator.
[tr. Ostwald (1962)]

For it is the mark of an educated man to seek as much precision in things of a given genus as their nature allows, for to accept persuasive arguments from a mathematician appears to be [as improper as] to demand demonstrations from a rhetorician.
[tr. Apostle (1975)]

For it is the mark of the trained mind never to expect more precision in the treatment of any subject than the nature of that subject permits; for demanding logical demonstrates from a teacher of rhetoric is clearly about as reasonable as accepting mere plausibility from a mathematician.
[tr. Thomson/Tredennick (1976)]

Since it is the mark of an educated person to look in each area for only that degree of accuracy that the nature of the subject permits. Accepting persuasive arguments from a mathematician is like demanding demonstrations from a rhetorician.
[tr. Crisp (2000)]

For it is the mark of an educated person to search for the same kind of clarity in each topic to the extent that the nature of the matter accepts it. For it is similar to expect a mathematician to speak persuasively or for an orator to furnish clear proofs!
[tr. @sentantiq (2018)]

For it belongs to an educated person to seek out precision in each genus to the extent that the nature of the matter allows: to accept persuasive speech from a skilled mathematician appears comparable to demanding demonstrations from a skilled rhetorician.
[tr. Bartlett/Collins (2011)]

 
Added on 16-Jul-07 | Last updated 29-Mar-22
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The root of all superstition is that men observe when a thing hits, but not when it misses.

Francis Bacon (1561-1626) English philosopher, scientist, author, statesman
Sylva Sylvarum, Century 10 (1627)

Alt trans.: "It is true that that may hold in these things, which is the general root of superstition; namely, that men observe when things hit, and not when they miss; and commit to memory the one, and forget and pass over the other."
 
Added on 1-Feb-04 | Last updated 16-May-16
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