“Prophecy, however honest, is generally a poor substitute for experience.”
Benjamin N. Cardozo (1870–1938) United States federal judge
West Ohio Gas Co. v. Public Utilities Commission (No.2), 294 U.S. 79, 82, (1935)
Judicial opinions
Chapter XXVIII http://www.gutenberg.org/files/26640/26640-h/26640-h.htm#CHAPTER_XXVIII <br class="br">The Humbugs of the World (1865)
“Prophecy, however honest, is generally a poor substitute for experience.”
Benjamin N. Cardozo (1870–1938) United States federal judge
West Ohio Gas Co. v. Public Utilities Commission (No.2), 294 U.S. 79, 82, (1935)
Judicial opinions
Rudolf Carnap (1891–1970) German philosopher
Source: The unity of science, 1934/1995, p. 42
Georg Wilhelm Friedrich Hegel book Encyclopedia of the Philosophical Sciences
Encyclopedia of the Philosophical Sciences (1816)
“The practice of physic is jostled by quacks on the one side, and by science on the other.”
Peter Mere Latham (1789–1875) English physician and educator
Book I, p. xxv
Collected Works
Bernard Le Bovier de Fontenelle (1657–1757) French writer, satirist and philosopher of enlightenment
Elements de la géométrie de l'infini (1727) as quoted by Amir R. Alexander, Geometrical Landscapes: The Voyages of Discovery and the Transformation of Mathematical Practice (2002) citing Michael S. Mahoney, "Infinitesimals and Transcendent Relations: The Mathematics of Motion in the Late Seventeenth Century" in Reappraisals of the Scientific Revolution, ed. David C. Lindberg, Robert S. Westman (1990)
“Since, however, all multitude and magnitude are by their own nature of necessity infinite”
Nicomachus (60–120) Ancient Greek mathematician
Nicomachus of Gerasa: Introduction to Arithmetic (1926)
Context: Things... are some of them continuous... which are properly and peculiarly called 'magnitudes'; others are discontinuous, in a side-by-side arrangement, and, as it were, in heaps, which are called 'multitudes,' a flock, for instance, a people, a heap, a chorus, and the like.
Wisdom, then, must be considered to be the knowledge of these two forms. Since, however, all multitude and magnitude are by their own nature of necessity infinite—for multitude starts from a definite root and never ceases increasing; and magnitude, when division beginning with a limited whole is carried on, cannot bring the dividing process to an end... and since sciences are always sciences of limited things, and never of infinites, it is accordingly evident that a science dealing with magnitude... or with multitude... could never be formulated.... A science, however, would arise to deal with something separated from each of them, with quantity, set off from multitude, and size, set off from magnitude.<!--pp.183-184
Walter A. Shewhart (1891–1967) American statistician
Source: Statistical Method from the Viewpoint of Quality Control, 1939, p. 120
“A science, however, would arise to deal with something separated from each of them”
Nicomachus (60–120) Ancient Greek mathematician
Nicomachus of Gerasa: Introduction to Arithmetic (1926)
Context: Things... are some of them continuous... which are properly and peculiarly called 'magnitudes'; others are discontinuous, in a side-by-side arrangement, and, as it were, in heaps, which are called 'multitudes,' a flock, for instance, a people, a heap, a chorus, and the like.
Wisdom, then, must be considered to be the knowledge of these two forms. Since, however, all multitude and magnitude are by their own nature of necessity infinite—for multitude starts from a definite root and never ceases increasing; and magnitude, when division beginning with a limited whole is carried on, cannot bring the dividing process to an end... and since sciences are always sciences of limited things, and never of infinites, it is accordingly evident that a science dealing with magnitude... or with multitude... could never be formulated.... A science, however, would arise to deal with something separated from each of them, with quantity, set off from multitude, and size, set off from magnitude.<!--pp.183-184
Wallace Stevens (1879–1955) American poet
Notes Toward a Supreme Fiction (1942), It Must Give Pleasure