Aphorism 19
Novum Organum (1620), Book I
Context: There are and can be only two ways of searching into and discovering truth. The one flies from the senses and particulars to the most general axioms, and from these principles, the truth of which it takes for settled and immovable, proceeds to judgment and to the discovery of middle axioms. And this way is now in fashion. The other derives axioms from the senses and particulars, rising by a gradual and unbroken ascent, so that it arrives at the most general axioms last of all. This is the true way, but as yet untried.
“Whenever we write an axiom, a critic can say that the axiom is true only in a certain context. With a little ingenuity the critic can usually devise a more general context in which the precise form of the axiom doesn't hold. […] There simply isn't a most general context.”
" Generality in Artificial Intelligence http://www-formal.stanford.edu/jmc/generality.html" (1971–1987), ACM Turing Award Lectures: The First Twenty Years, ACM Press, 1987, ISBN 0201077949
1980s
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John McCarthy 12
American computer scientist and cognitive scientist 1927–2011Related quotes
Letter to http://www.familytales.org/dbDisplay.php?id=ltr_thj1489 George Washington (4 January 1786)
1780s
Source: Letters of Thomas Jefferson
"As I Please," Tribune (13 December 1946)
"As I Please" (1943–1947)
Context: While the game of deadlocks and bottle-necks goes on, another more serious game is also being played. It is governed by two axioms. One is that there can be no peace without a general surrender of sovereignty: the other is that no country capable of defending its sovereignty ever surrenders it. If one keeps these axioms in mind one can generally see the relevant facts in international affairs through the smoke-screen with which the newspapers surround them.
The geometry of the spherical surface can be viewed as the realization of a two-dimensional non-Euclidean geometry: the denial of the axiom of the parallels singles out that generalization of geometry which occurs in the transition from the plane to the curve surface.
The Philosophy of Space and Time (1928, tr. 1957)
Source: Real Presences (1989), I: A Secondary City, Ch. 4 (p. 11).
“It has long been an axiom of mine that the little things are infinitely the most important.”
Source: The Memoirs of Sherlock Holmes