
Footnote: In the future by 'mathematics' will always be meant 'pure mathematics'.
The Foundations of Mathematics (1925)
As quoted in Proportions, Prices, and Planning (1970) by András Bródy
Footnote: In the future by 'mathematics' will always be meant 'pure mathematics'.
The Foundations of Mathematics (1925)
§ 2.
Linear Associative Algebra (1882)
Context: The branches of mathematics are as various as the sciences to which they belong, and each subject of physical enquiry has its appropriate mathematics. In every form of material manifestation, there is a corresponding form of human thought, so that the human mind is as wide in its range of thought as the physical universe in which it thinks.
The First Year of Life of the Child (1927), "The Egocentrism of the Child and the Solipsism of the Baby", as translated by Howard E. Gruber and J. Jacques Vonèche
“During this century mathematics has been transformed…”
100 Years of Mathematics: a Personal Viewpoint (1981)
Introduction
Cosmic Imagery: Key Images in the History of Science (2008)
Context: Mathematics became an experimental subject. Individuals could follow previously intractable problems by simply watching what happened when they were programmed into a personal computer.... The PC revolution has made science more visual and more immediate.... by creating films of imaginary experiences of mathematical worlds.... Words are no longer enough.
Language Education in a Knowledge Context (1980)
Context: Since there is no such thing as complete knowledge of a subject, one is always working to improve one's reading, writing, etc., of a subject. As Thomas Henry Huxley said, "If a little knowledge is a dangerous thing, is there anyone who knows so much as to be out of danger?" …. The problems of learning to read or write are inexhaustible.
[#qotd #quote of the day #IASIdeas, twitter.com, 12 July 2018, https://twitter.com/the_ias/status/1017439929985634304?lang=en] (9:05 AM)
Rudolf Carnap (1939; 51), as cited in: Paul van Ulsen. Wetenschapsfilosofie http://www.illc.uva.nl/Research/Publications/Inaugurals/IV-10-Arend-Heyting.text.pdf, 6 november 2017.
"Since we have to die in any case, what's the use of seeing each other again?"
Drawn and Quartered (1983)