“A large quantity of examples is indispensable.”

Preface, pp. viii
The Differential and Integral Calculus (1836)

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "A large quantity of examples is indispensable." by Augustus De Morgan?
Augustus De Morgan photo
Augustus De Morgan 41
British mathematician, philosopher and university teacher (… 1806–1871

Related quotes

G. K. Chesterton photo

“Silver is sometimes more valuable than gold, that is, in large quantities.”

The Innocence of Father Brown (1911) The Queer Feet
The Father Brown Mystery Series (1910 - 1927)

Albert Jay Nock photo

“In any given society the Remnant are always so largely an unknown quantity.”

Albert Jay Nock (1870–1945) American journalist

Source: Isaiah's Job (1936), IV
Context: In any given society the Remnant are always so largely an unknown quantity. You do not know, and will never know, more than two things about them. You can be sure of those — dead sure, as our phrase is — but you will never be able to make even a respectable guess at anything else. You do not know, and will never know, who the Remnant are, nor what they are doing or will do. Two things you do know, and no more: First, that they exist; second, that they will find you. Except for these two certainties, working for the Remnant means working in impenetrable darkness; and this, I should say, is just the condition calculated most effectively to pique the interest of any prophet who is properly gifted with the imagination, insight and intellectual curiosity necessary to a successful pursuit of his trade.

John Buchan photo
Frank Lloyd Wright photo
Joseph Strutt photo
Charles Babbage photo
Leonhard Euler photo

“A function of a variable quantity is an analytic expression composed in any way whatsoever of the variable quantity and numbers or constant quantities.”

Leonhard Euler (1707–1783) Swiss mathematician

§4
Introduction to the Analysis of the Infinite (1748)

Isaac Newton photo

“Whereas in Arithmetick Questions are only resolv'd by proceeding from given Quantities to the Quantities sought, Algebra proceeds in a retrograde Order, from the Quantities sought as if they were given, to the Quantities given as if they were sought, to the End that we may some Way or other come to a Conclusion or Æquation, from which one may bring out the Quantity sought.”

Arithmetica Universalis (1707)
Context: Whereas in Arithmetick Questions are only resolv'd by proceeding from given Quantities to the Quantities sought, Algebra proceeds in a retrograde Order, from the Quantities sought as if they were given, to the Quantities given as if they were sought, to the End that we may some Way or other come to a Conclusion or Æquation, from which one may bring out the Quantity sought. And after this Way the most difficult problems are resolv'd, the Resolutions whereof would be sought in vain from only common Arithmetick. Yet Arithmetick in all its Operations is so subservient to Algebra, as that they seem both but to make one perfect Science of Computing; and therefore I will explain them both together.<!--pp.1-2

Related topics