On the foundations of general infinitesimal geometry. Bull. Amer. Math. Soc. 35 (1929) 716–725 [10.1090/S0002-9904-1929-04812-2] (quote on p. 716)
“Integral geometry, started by the English geometer M. W. Crofton, has received recently important developments through the works of W. Blaschke, L. A. Santaló, and others. Generally speaking, its principal aim is to study the relations between the measures which can be attached to a given variety.”
[Differential geometry and integral geometry, Proc. Int. Congr. Math. Edinburgh, 1958, 411–449, http://www.mathunion.org/ICM/ICM1958/Main/icm1958.0441.0453.ocr.pdf]
Help us to complete the source, original and additional information
Shiing-Shen Chern 6
mathematician (1911–2004), born in China and later acquirin… 1911–2004Related quotes
Report on the Theory of Numbers (1859) Part I, pp. 56-57.
The Collected Mathematical Papers of Henry John Stephen Smith (1894) Vol. 1
Letter to Gerling (1832)
Letter to Marin Mersenne (July 27, 1638) as quoted by Florian Cajori, A History of Mathematics (1893) letter dated in The Philosophical Writings of Descartes Vol. 3, The Correspondence (1991) ed. John Cottingham, Robert Stoothoff, Dugald Murdoch
Variant: Mayor aims of general theory:
(1) There is a general tendency toward integration in the various sciences, natural and social.
(2) Such integration seems to be centered in a general theory of systems.
(3) Such theory may be an important means for aiming at exact theory in the nonphysical fields of science.
(4) Developing unifying principles running "vertically" through the universe of the individual sciences, this theory brings us nearer the goal of the unity of science.
(5) This can lead to a much-needed integration in scientific education.
Source: 1950s, "General systems theory," 1956, p. 38, cited in: Alexander Laszlo and Stanley Krippner (1992) " Systems Theories: Their Origins, Foundations, and Development http://archive.syntonyquest.org/elcTree/resourcesPDFs/SystemsTheory.pdf" In: J.S. Jordan (Ed.), Systems Theories and A Priori Aspects of Perception. Amsterdam: Elsevier Science, 1998. Ch. 3, pp. 47-74.
" Ashby's book "Introduction to Cybernetics http://pespmc1.vub.ac.be/ASHBBOOK.html" at Principia Cybernetica Web, 1999-2003
Principia Cybernetica Web, 1999-2003
Source: 1970s, On purposeful systems., 1972, p. 145, as cited in: Galjaard (2009, p. 89): About the information-concept of Ackoff.
Second Lecture, The Elements of the Theory of Probability, p. 32
Probability, Statistics And Truth - Second Revised English Edition - (1957)
George (1958) "Cybernetics and biology" in: M.L. Johnson Ed. New biology. Ns 26-31. p.106