Source: 1910s, An Introduction to Mathematics (1911), ch. 5. <!-- pp. 41-42 -->
Context: It is a profoundly erroneous truism, repeated by all copy-books and by eminent people when they are making speeches, that we should cultivate the habit of thinking of what we are doing. The precise opposite is the case. Civilization advances by extending the number of important operations which we can perform without thinking about them. Operations of thought are like cavalry charges in a battle — they are strictly limited in number, they require fresh horses, and must only be made at decisive moments.
Speaking & Features, Standing Up To Goliath
[1992Mar5.180926.19041@netlabs.com, 1992]
Usenet postings, 1992
That these are the laws employed in the demonstration of the principal theorems in Algebra, a slight examination of the processes will easily shew ; but they are not confined to symbols of numbers ; they apply also to the symbol used to denote differentiation.
p. 237 http://books.google.com/books?id=8lQ7AQAAIAAJ&pg=PA237; Highlighted section cited in: George Boole " Mr Boole on a General Method in Analysis http://books.google.com/books?pg=PA225-IA15&id=aGwOAAAAIAAJ&hl," Philosophical Transactions, Vol. 134 (1844), p. 225; Other section (partly) cited in: James Gasser (2000) A Boole Anthology: Recent and Classical Studies in the Logic of George Boole,, p. 52
Examples of the processes of the differential and integral calculus, (1841)
Teaching as a Subversive Activity (1969)
Context: You cannot avoid making judgements but you can become more conscious of the way in which you make them. This is critically important because once we judge someone or something we tend to stop thinking about them or it. Which means, among other things, that we behave in response to our judgements rather than to that to which is being judged. People and things are processes. Judgements convert them into fixed states. This is one reason that judgements are often self-fulfilling. If a boy, for example, is judged as being "dumb" and a "nonreader" early in his school career, that judgement sets into motion a series of teacher behaviors that cause the judgement to become self-fulfilling. What we need to do then, if we are seriously interested in helping students to become good learners, is to suspend or delay judgements about them. One manifestation of this is the ungraded elementary school. But you can practice suspending judgement yourself tomorrow. It doesn't require any major changes in anything in the school except your own behavior.
Source: Vestiges of the Natural History of Creation (1844), p. 61
Context: Ascending to the next group of rocks, we find the traces of life become more abundant, the number of species extended, and important additions made in certain vestiges of fuci, or sea plants, and of fishes. This group of rocks has been called by English geologists, the Silurian System, because largely developed at the surface of a district of western England, formerly occupied by a people whom the Roman historians call Silures.
Source: 19th century, Popular Scientific Lectures [McCormack] (Chicago, 1898), p. 197; On mathematics and counting.
Es braucht nicht gesagt zu werden, daß eine Kultur, welche eine so große Zahl von Teilnehmern unbefriedigt läßt und zur Auflehnung treibt, weder Aussicht hat, sich dauernd zu erhalten, noch es verdient.
Source: 1920s, The Future of an Illusion (1927)
