Source: A History of Mathematics (1893), p. 30 Reported in Memorabilia mathematica or, The philomath's quotation-book by Robert Edouard Moritz. Published 1914.
“I was led, many years ago, to regard Algebra as the Science of Pure Time”
Preface, Lectures on Quaternions: Containing a Systematic Statement of a New Mathematical Method of which the Principles were Communicated in 1843 to the Royal Irish Academy... (1853) pp. 1-4 https://books.google.com/books?id=PJIKAAAAYAAJ&pg=PA1. Hamilton makes reference to the article "Theory of Conjugate Functions, or Algebraic Couples; with a Preliminary and Elementary Essay on Algebra as the Science of Pure Time" (Read November 4th, 1833, and June 1st, 1835) Transactions of the Royal Irish Academy Vol. XVII, Part II (Dublin, 1835) pp 293-422.
Context: The difficulties which so many have felt in the doctrine of Negative and Imaginary Quantities in Algebra forced themselves long ago on my attention... And while agreeing with those who had contended that negatives and imaginaries were not properly quantities at all, I still felt dissatisfied with any view which should not give to them, from the outset, a clear interpretation and meaning... It early appeared to me that these ends might be attained by our consenting to regard Algebra as being no mere Art, nor Language, nor primarily a Science of Quantity; but rather as the Science of Order in Progression. It was, however, a part of this conception, that the progression here spoken of was understood to be continuous and unidimensional: extending indefinitely forward and backward, but not in any lateral direction. And although the successive states of such a progression might (no doubt) be represented by points upon a line, yet I thought that their simple successiveness was better conceived by comparing them with moments of time, divested, however, of all reference to cause and effect; so that the "time" here considered might be said to be abstract, ideal, or pure, like that "space" which is the object of geometry. In this manner I was led, many years ago, to regard Algebra as the Science of Pure Time: and an Essay, containing my views respecting it as such, was published in 1835.... [I]f the letters A and B were employed as dates, to denote any two moments of time, which might or might not be distinct, the case of the coincidence or identity of these two moments, or of equivalence of these two dates, was denoted by the equation,B = Awhich symbolic assertion was thus interpreted as not involving any original reference to quantity, nor as expressing the result of any comparison between two durations as measured. It corresponded to the conception of simultaneity or synchronism; or, in simpler words, it represented the thought of the present in time. Of all possible answers to the general question, "When," the simplest is the answer, "Now:" and it was the attitude of mind, assumed in the making of this answer, which (in the system here described) might be said to be originally symbolized by the equation above written.
Help us to complete the source, original and additional information
Do you have more details about the quote "I was led, many years ago, to regard Algebra as the Science of Pure Time" by William Rowan Hamilton?
William Rowan Hamilton 4
Irish physicist, astronomer, and mathematician 1805–1865Related quotes
James Hudson Taylor
(1832–1905) Missionary in China
(A.J. Broomhall. Hudson Taylor and China’s Open Century, Book Five: Refiner’s Fire. London: Hodder and Stoughton and Overseas Missionary Fellowship, 1985, 406).
José María Aznar
(1953) Spanish President from 1996 to 2004
On an interview with the Catalan Autonomous Television, just before politically coallitioning with Catalan, Canarian and Basque nationalists
Source: L' Aznar destrossant la llengua catalana http://www.youtube.com/watch?v=5m95BZOKDPs, December 2006.
George Holmes Howison
(1834–1916) American philosopher
Journal of Speculative Philosophy, Vol. 5, p. 175. Reported in: Memorabilia mathematica or, The philomath's quotation-book, by Robert Edouard Moritz. Published 1914
Journals
“A colorful hanging chart with no lines.
A pure algebra problem with no solution.”
Shu Ting
(1952) Chinese writer
"Missing You" (1978), in Out of the Howling Storm: The New Chinese Poetry, ed. Tony Barnstone (Wesleyan University Press, 1993), p. 61
Albert Einstein
(1879–1955) German-born physicist and founder of the theory of relativity
1910s, Principles of Research (1918)
Context: In the temple of science are many mansions, and various indeed are they that dwell therein and the motives that have led them thither. Many take to science out of a joyful sense of superior intellectual power; science is their own special sport to which they look for vivid experience and the satisfaction of ambition; many others are to be found in the temple who have offered the products of their brains on this altar for purely utilitarian purposes. Were an angel of the Lord to come and drive all the people belonging to these two categories out of the temple, the assemblage would be seriously depleted, but there would still be some men, of both present and past times, left inside. Our Planck is one of them, and that is why we love him.
I am quite aware that we have just now lightheartedly expelled in imagination many excellent men who are largely, perhaps chiefly, responsible for the buildings of the temple of science; and in many cases our angel would find it a pretty ticklish job to decide. But of one thing I feel sure: if the types we have just expelled were the only types there were, the temple would never have come to be, any more than a forest can grow which consists of nothing but creepers. For these people any sphere of human activity will do, if it comes to a point; whether they become engineers, officers, tradesmen, or scientists depends on circumstances.
Now let us have another look at those who have found favor with the angel. Most of them are somewhat odd, uncommunicative, solitary fellows, really less like each other, in spite of these common characteristics, than the hosts of the rejected. What has brought them to the temple? That is a difficult question and no single answer will cover it.
J. J. Thomson
(1856–1940) British physicist
Cited from Lord Rayleigh, The Life of Sir J. J. Thomson (1943), p. 199.
Attributed
Carl Van Doren
(1885–1950) American biographer
Preface
The Great Rehearsal (1948)
Context: The most momentous chapter in American history is the story of the making and ratifying of the Constitution of the United States. The Constitution has so long been rooted so deeply in American life — or American life rooted so deeply in it — that the drama of its origins is often overlooked. Even historical novelists, who hunt everywhere for memorable events to celebrate, have hardly touched the event without which there would have been a United States very different from the one that now exists; or might have been no United States at all.
The prevailing conceptions of those origins have varied with the times. In the early days of the Republic it was held, by devout friends of the Constitution, that its makers had received it somewhat as Moses received the Tables of the Law on Sinai. During the years of conflict which led to the Civil War the Constitution was regarded, by one party or the other, as the rule of order or the misrule of tyranny. In still later generations the Federal Convention of 1787 has been accused of evolving a scheme for the support of special economic interests, or even a conspiracy for depriving the majority of the people of their liberties. Opinion has swung back and forth, while the Constitution itself has grown into a strong yet flexible organism, generally, if now and then slowly, responsive to the national circumstances and necessities.
Jerzy Vetulani
(1936–2017) Polish scientist
Kika Szaszkiewiczowa, an artist and Kraków cabaret circles personality, in an entry on her blog http://www.szaszkiewiczowa.eu/sto-lat-sto-lat/.
“Yes I did when I was at university 30 years ago, just for a short time.”
Harriet Harman
(1950) British politician
On smoking cannabis http://news.bbc.co.uk/1/hi/uk_politics/6907040.stm, 20 July, 2007.