
Acceptance speech, Alumni Achievement Award, Collinsville, Illinois. 2017.
Jay Lemke (2003), "Teaching all the languages of science: Words , symbols, images and actions," p. 3; as cited in: Scott, Phil, Hilary Asoko, and John Leach. "Student conceptions and conceptual learning in science." Handbook of research on science education (2007): 31-56.
Acceptance speech, Alumni Achievement Award, Collinsville, Illinois. 2017.
Source: Conceptual graphs for knowledge representation, 1993, p. 3-51. cited in: Bernhard Ganter, Gerd Stumme, Rudolf Wille (2005) Formal Concept Analysis: Foundations and Applications. p. 87
Charles West Churchman, Russell Lincoln Ackoff (1950) Methods of inquiry: an introduction to philosophy and scientific method. p. 185; Partly cited in: Britton, G. A., & McCallion, H. (1994). An overview of the Singer/Churchman/Ackoff school of thought. Systems Practice, Vol 7 (5), 487-521.
1950s
Context: … All other languages can be translated into the thing-language, but the thing-language cannot be translated into any other language. Its terms can only be reduced to what are called "ostensive" definitions. These consist merely of pointing or otherwise evoking a direct experience. Hence, the thing-language is absolutely basic. Out of this basic language, we build up the other languages of the sciences, beginning with the language of physics, and proceeding to biology, psychology, and the social sciences.
The Paris Review interview (1984)
Context: Beckett shows death; his people are in dustbins or waiting for God. (Beckett will be cross with me for mentioning God, but never mind.) Similarly, in my play The New Tenant, there is no speech, or rather, the speeches are given to the Janitor. The Tenant just suffocates beneath proliferating furniture and objects — which is a symbol of death. There were no longer words being spoken, but images being visualized. We achieved it above all by the dislocation of language. … Beckett destroys language with silence. I do it with too much language, with characters talking at random, and by inventing words.
Source: Die Mathematik die Fackelträgerin einer neuen Zeit (Stuttgart, 1889), p. 5.
"Sense and Sensibility"
The Common Sense of Science (1951)
“Mathematics is not just a language. Mathematics is a language plus reasoning.”
Source: The Character of Physical Law (1965), chapter 2, “The Relation of Mathematics to Physics”
Context: Mathematics is not just a language. Mathematics is a language plus reasoning. It's like a language plus logic. Mathematics is a tool for reasoning. It's, in fact, a big collection of the results of some person's careful thought and reasoning. By mathematics, it is possible to connect one statement to another.
Source: The Principles of Art (1938), p. 268