Source: Science and Hypothesis (1901), Ch. I. (1905) Tr. George Bruce Halstead
Context: But, one will say, if raw experience can not legitimatize reasoning by recurrence, is it so of experiment aided by induction? We see successively that a theorem is true of the number 1, of the number 2, of the number 3 and so on; the law is evident, we say, and it has the same warranty as every physical law based on observations, whose number is very great but limited. But there is an essential difference. Induction applied to the physical sciences is always uncertain, because it rests on the belief in a general order of the universe, an order outside of us. Mathematical induction, that is, demonstration by recurrence, on the contrary, imposes itself necessarily, because it is only the affirmation of a property of the mind itself.<!--pp.13-14
“For an induction, despite its formal generality, is always in its own value a particular judgment, always comes short of full universality; whereas, to establish the apriority of an element, we must show it to be strictly universal, or, in other words, necessary.”
Source: The Limits of Evolution, and Other Essays, Illustrating the Metaphysical Theory of Personal Ideaalism (1905), Later German Philosophy, p.176
Help us to complete the source, original and additional information
George Holmes Howison 135
American philosopher 1834–1916Related quotes
Source: Science and Sanity (1933), p. 64.
Context: Any organism must be treated as-a-whole; in other words, that an organism is not an algebraic sum, a linear function of its elements, but always more than that. It is seemingly little realized, at present, that this simple and innocent-looking statement involves a full structural revision of our language...
Source: Information, The New Language of Science (2003), Chapter 16, Unpacking Information, The computer in the service of physics, p. 138
When asked by reporters if Islam is a religion of peace. [Pope says terror attacks cannot be defined as anti-Christian, Catholic News Agency, 2005-07-25, http://www.catholicnewsagency.com/news/pope_says_terror_attacks_cannot_be_defined_as_antichristian/, 2016-02-25]
2005
Source: "A synopsis of linguistic theory 1930-1955." 1957, p. 21; as cited in: Olivares, Beatriz Enriqueta Quiroz. The interpersonal and experiential grammar of Chilean Spanish: Towards a principled Systemic-Functional description based on axial argumentation. Diss. University of Sydney, 2013.
On the renewal of the Christian church in Russia, p. 251
1990s, Against the Grain (1990)
Context: I am convinced that the moment is coming when, with its message of eternal, universal values, it will come to the aid of our society. For in these words: "Thou shalt not kill; Thou shalt love thy neighbor as thyself," lie those very moral principles that will enable us to survive even the most critical situations.
1920s, Process and Reality: An Essay in Cosmology (1929)
“A poem is free, and it shows its freedom by establishing its own principles.”
Singing School