
Lecture at Vassar College, Poughkeepsie, New York (14 May 1921)
A collection of quotes on the topic of proof, use, other, doing.
Lecture at Vassar College, Poughkeepsie, New York (14 May 1921)
Speech at Massachusetts Institute of Technology, Cambridge (September 26, 1975). "The Root Cause", ch. 9, Our Blood (1976).
“If the proof is correct then no other recognition is needed.”
[David S. Richeson, Euler's Gem: The Polyhedron Formula and the Birth of Topology, http://books.google.com/books?id=KUYLhOVkaV4C&pg=PA285, 8 March 2012, Princeton University Press, 1-4008-3856-8, 285]
“A multitude of words is no proof of a prudent mind.”
As quoted in Diogenes Laërtius, The Lives and Opinions of Eminent Philosophers, I, 35; as translated in Dictionary of Quotations (Classical) edited by Thomas Benfield Harbottle, p. 455
Also translated as: "Many words do not declare an understanding heart."
“I have no need of proof. The laws of nature, unlike the laws of grammar, admit of no exception.”
An Outline of the System of the Elements
Profile at North American Bangladesh Info Center http://www.bongoz.com/people/yunus.html
“The voice of the majority is no proof of justice.”
As quoted in A Dictionary of Thoughts : Being a Cyclopedia of Laconic Quotations from the Best Authors, Both Ancient and Modern (1891) edited by Tryon Edwards. p. 324
Source: https://www.youtube.com/watch?v=EJodTuDeoYg
“Art is a demonstration of which nature is the proof.”
L'art est une démonstration dont la nature est la preuve.
François le Champi, Introduction (1848); Jane Minot Sedgwick (trans.) François the Waif {New York: H. M. Caldwell, 1894) p. 17
Der Glaube an eine bestimmte Idee gibt dem Forscher den Rückhalt für seine Arbeit. Ohne diesen Glauben wäre er verloren in einem Meer von Zweifeln und halbgültigen Beweisen.
Attributed in Konrad Zuse http://www.dpma.de/ponline/erfindergalerie/bio_zuse.html on "Die Erfindergalerie", dpma.de, 2008
Source: Reflections and Maxims (1746), p. 184.
Inspirational Quotes to lighten our load, http://neuralorganizationtherapy.com/Inspirational_Quotes.html, Neural Organization Therapy
“Attack is the proof that your enemy anticipates your success.”
“Wide acceptance of an idea is not proof of its validity.”
Source: The Lost Symbol
Sahih Muslim, Book 001, Number 0142
Sunni Hadith
Context: It is narrated on the authority of 'Abdullah b. Umar that the Messenger of Allah observed: O womenfolk, you should give charity and ask much forgiveness for I saw you in bulk amongst the dwellers of Hell. A wise lady among them said: Why is it, Messenger of Allah, that our folk is in bulk in Hell? Upon this the Holy Prophet observed: You curse too much and are ungrateful to your spouses. I have seen none lacking in common sense and failing in religion but (at the same time) robbing the wisdom of the wise, besides you. Upon this the woman remarked: What is wrong with our common sense and with religion? He (the Holy Prophet) observed: Your lack of common sense (can be well judged from the fact) that the evidence of two women is equal to one man, that is a proof of the lack of common sense, and you spend some nights (and days) in which you do not offer prayer and in the month of Ramadan (during the days) you do not observe fast, that is a failing in religion. This hadith has been narrated on the authority of Abu Tahir with this chain of transmitters.
“The scientist believes in proof without certainty, the bigot in certainty without proof.”
The second sentence is often misquoted as “Science has proof without any certainty. Creationists have certainty without any proof.” or “Religion gives us certainty without proof; science gives us proof without certainty.”
Context: Bigotry and science can have no communication with each other, for science begins where bigotry and absolute certainty end. The scientist believes in proof without certainty, the bigot in certainty without proof. Let us never forget that tyranny most often springs from a fanatical faith in the absoluteness of one’s beliefs.
“That some achieve great success, is proof to all that others can achieve it as well.”
De l'Art de persuader ["On the Art of Persuasion"], written 1658; published posthumously.
Source: De l'art de persuader
Section 3 : Work Democracy versus Politics. The Natural Social Forces for the Mastery of the Emotional Plague;
Variant translation: The fact that political ideologies are tangible, active realities does not prove their necessity. The bubonic plague was an extremely potent social reality. But nobody would have argued that, because it existed, it was necessary and nothing should be done about it.
The Mass Psychology of Fascism (1933), Ch. 10 : Work Democracy
“A quest for self-respect is proof of its lack”
Source: The Fountainhead
Letter Seven (14 May 1904)
Letters to a Young Poet (1934)
Variant: For one human being to love another human being: that is perhaps the most difficult task that has been given to us, the ultimate, the final problem and proof, the work for which all other work is merely preparation.
Source: The Selected Poetry of Rainer Maria Rilke
Context: People have (with the help of conventions) oriented all their solutions toward the easy and toward the easiest side of the easy; but it is clear that we must hold to what is difficult; everything alive holds to it, everything in Nature grows and defends itself in its own way and is characteristically and spontaneously itself, seeks at all costs to be so and against all opposition. We know little, but that we must hold to what is difficult is a certainty that will not forsake us; it is good to be solitary, for solitude is difficult; that something is difficult must be a reason the more for us to do it.
To love is good, too: love being difficult. For one human being to love another: that is perhaps the most difficult of all our tasks, the ultimate, the last test and proof, the work for which all other work is but preparation.
“There's no such thing as love; only proof of love.”
Letter to Natalie H. Wooley (2 May 1936), in Selected Letters V, 1934-1937 edited by August Derleth and Donald Wandrei, pp. 240-241
Non-Fiction, Letters
Political Science for Civil Services Main Examination (2010)
As quoted in "Vonnegut's Blues For America" Sunday Herald (7 January 2006)
Various interviews
Et cette proposition est généralement vraie en toutes progressions et en tous nombres premiers; de quoi je vous envoierois la démonstration, si je n'appréhendois d'être trop long.
Fermat (in a letter dated October 18, 1640 to his friend and confidant Frénicle de Bessy) commenting on his statement that p divides a<sup> p−1</sup> − 1 whenever p is prime and a is coprime to p (this is what is now known as Fermat's little theorem).
Source: Reflections and Maxims (1746), p. 178.
The Perfect Way in Diet (London: Kegan Paul, Trench & Co., 1881), pp. 13 https://archive.org/stream/perfectwayindie00kinggoog#page/n34-14.
Nochmals gesagt, heute ist es mir ein unmögliches Buch, - ich heisse es schlecht geschrieben, schwerfällig, peinlich, bilderwüthig und bilderwirrig, gefühlsam, hier und da verzuckert bis zum Femininischen, ungleich im Tempo, ohne Willen zur logischen Sauberkeit, sehr überzeugt und deshalb des Beweisens sich überhebend, misstrauisch selbst gegen die Schicklichkeit des Beweisens, als Buch für Eingeweihte, als "Musik" für Solche, die auf Musik getauft, die auf gemeinsame und seltene Kunst-Erfahrungen hin von Anfang der Dinge an verbunden sind, als Erkennungszeichen für Blutsverwandte in artibus, - ein hochmüthiges und schwärmerisches Buch, das sich gegen das profanum vulgus der "Gebildeten" von vornherein noch mehr als gegen das "Volk" abschliesst, welches aber, wie seine Wirkung bewies und beweist, sich gut genug auch darauf verstehen muss, sich seine Mitschwärmer zu suchen und sie auf neue Schleichwege und Tanzplätze zu locken.
"Attempt at a Self-Criticism", p. 5
The Birth of Tragedy (1872)
Wheaton, Illinois http://www.kidbrothers.net/words/concert-transcripts/wheaton-illinois-sep1590-backup-copy.html (April 11, 1997)
In Concert
1770s, Letter to Phyllis Wheatley (1776)
"The Beauty of a Broken Spirit—Atheism", The Way of the Master season 1 episode 7, 2003-05-12
Letter to Christoffer Hansteen (1826) as quoted by Øystein Ore, Niels Henrik Abel: Mathematician Extraordinary (1957) & in part by Morris Kline, Mathematical Thought from Ancient to Modern Times (1972) citing Œuvres, 2, 263-65
The Art of Persuasion
Annie Besant: An Autobiography (1893) https://books.google.com/books?id=uBA3AQAAMAAJ, p. 357; 3rd edition (1908) https://books.google.com/books?id=5zNPAQAAMAAJ&pg, p. 357
The Notebooks of Leonardo da Vinci (1883), I Prolegomena and General Introduction to the Book on Painting
Statements (c. December 1907), in Mark Twain In Eruption : Hitherto Unpublished Pages About Men And Events (1940) edited by Bernard Augustine De Voto
Source: The Foundations of Leninism, Ch.8
“These eight rules [above] contain all the precepts for solid and immutable proofs.”
The Art of Persuasion
§ 134
2010s, 2015, Laudato si' : Care for Our Common Home
“In default of any other proof, the thumb would convince me of the existence of a God.”
Reported as something said by Newton in Charles Dickens's All the Year Round https://books.google.es/books?id=bd0NAAAAQAAJ&q=%22the+thumb+would+convince+me+of+the+existence+of+a+God%22+dickens&dq=%22the+thumb+would+convince+me+of+the+existence+of+a+God%22+dickens&hl=es&sa=X&ei=fgHtVJ3BB4WXgwTAzoOwBA&ved=0CCAQ6AEwAA (1864), Vol. 10, p. 346; later found in " The Book of the Hand http://dds.crl.edu/loadStream.asp?iid=28101" (1867) by A R. Craig, S. Low and Marston, p. 51:
"In want of other proofs, the thumb would convince me of the existence of a God; as without the thumb the hand would be a defective and incomplete instrument, so without the moral will, logic, decision, faculties of which the thumb in different degrees offers the different signs, the most fertile and the most brilliant mind would only be a gift without worth."
A slight variant of this is cited as something Newton once "exclaimed" in Human Nature : An Interdisciplinary Biosocial Perspective http://books.google.es/books?id=c6O0AAAAIAAJ&q=In+the+absence+of+any+other+proof,+the+thumb+alone+would+convince+me+of+God's+existence.&dq=In+the+absence+of+any+other+proof,+the+thumb+alone+would+convince+me+of+God's+existence.&hl=es&sa=X&ei=KAkMUuLjL-am2gWtnoHgDg&ved=0CFUQ6AEwBQ, Vol. 1, Issues 7-12 (1978), p. 47: "In the absence of any other proof, the thumb alone would convince me of God's existence."
1860s, Allow the humblest man an equal chance (1860)
"Über unendliche, lineare Punktmannigfaltigkeiten" in Mathematische Annalen 20 (1882) <!-- pp 113-121 --> Quoted in "Cantor's Grundlagen and the paradoxes of Set Theory" by William W. Tait
The Art of Persuasion
The Magnificent Defeat (1966)
"Collins: Why this scientist believes in God" http://www.cnn.com/2007/US/04/03/collins.commentary/index.html, editorial, CNN (April 6, 2007)
Twitter, November 25, 2013 ( archive http://archive.is/khKVm)
Other
Letter to Colette, December 28, 1916
1910s
Gottlob Frege in: Dagobert David Runes (1962). Readings in epistemology, theory of knowledge and dialectics. p. 334
“They ask you for facts, proofs, works, and all you can show them are transformed tears.”
The New Gods (1969)
Majlisi, Bihārul Anwār, vol.51 p. 4
Religious-based Quotes
Quoted in Brad Cook, "John Carmack: Making the Magic Happen" http://www.apple.com/games/articles/2009/02/johncarmack/ Apple.com
Source: 1910s, Introduction to Mathematical Philosophy (1919), Ch. 18: Mathematics and Logic
Vol. 1. pp. 137-140, as cited in: Ralph H. Johnson (2012), Manifest Rationality: A Pragmatic Theory of Argument, p. 87
Grundgesetze der Arithmetik, 1893 and 1903
Ein scheinbarer Widerspruch gegen ein Naturgesetz ist nur die selten vorkommende Betätigung eines andern Naturgesetzes.
Source: Aphorisms (1880/1893), p. 36.
“History is written for the purpose of narration and not in order to give proof.”
Historia et scribitur ad narrandum non ad probandum.
Book X, Chapter I, 31
De Institutione Oratoria (c. 95 AD)
1780s, The Newburgh Address (1783)
Le mal de prendre une hypallage pour une découverte, une métaphore pour une démonstration, un vomissement de mots pour un torrent de connaissances capitales, et soi-même pour un oracle, ce mal naît avec nous.
Introduction to the Method of Leonardo da Vinci (1895)
Two Essays on Analytical Psychology, CW 7 (1957). "The Relations between the Ego and the Unconscious" P.309
Was the World Made for Man? (1903): also p. 106, What is man?: and other philosophical writings, Volume 19 of Works, 1993, Mark Twain, Paul Baender, University of California Press
[Beata Randrianantoanina, Narcisse Randrianantoanina, Banach Spaces and Their Applications in Analysis: Proceedings of the International Conference at Miami University, May 22-27, 2006, in Honor of Nigel Kalton's 60th Birthday, http://books.google.com/books?id=1GiwqU-gB_kC&pg=PR5, 2007, Walter de Gruyter, 978-3-11-019449-4, 5]
Shaykh al-Sadūq, Ilal al-Shara'i, vol.1, p. 211
Religious-based Quotes
“The proof of the pudding is in the eating.”
Source: Don Quixote de la Mancha (1605–1615), Part I, Book IV, Ch. 10.
Source: A General View of Positivism (1848, 1856), p. 36
Dilettanten haben nicht einmal in einer sekundären Kunst etwas Bleibendes geleistet, sich aber verdient gemacht um die höchste aller Wissenschaften, die Philosophie. Den Beweis dafür liefern: Montaigne, La Rochefoucauld, Vauvenargues.
Source: Aphorisms (1880/1893), p. 55.
Source: Ramanujan (1940), Ch. I : The Indian mathematician Ramanujan.
“To those who have an active belief, reasoned proofs are needless and probably useless.”
Book IV, Chapter 17
From St. Athanasius' Life of St. Antony