In other branches of science, where quick publication seems to be so much desired, there may possibly be some excuse for giving to the world slovenly or ill-digested work, but there is no such excuse in mathematics. The form ought to be as 102 perfect as the substance, and the demonstrations as rigorous as those of Euclid. The mathematician has to deal with the most exact facts of Nature, and he should spare no effort to render his interpretation worthy of his subject, and to give to his work its highest degree of perfection. "Pauca sed matura” was Gauss's motto.
James Whitbread Lee GlaisherRelated topics
deal degree effort euclid excuse form giving interpretation mathematician mathematics nature ought perfect publication quick science should spare work worthy factsRelated quotes
In science men have learned consciously to subordinate themselves to a common purpose without losing the individuality of their achievements. Each one knows that his work depends on that of his predecessors and colleagues, and that it can only reach its fruition through the work of his successors. In science men collaborate not because they are forced to by superior authority or because they blindly follow some chosen leader, but because they realize that only in this willing collaboration can each man find his goal.
John Desmond Bernal
The mathematical thermology created by Fourier may tempt us to hope that, as he has estimated the temperature of the space in which we move, me may in time ascertain the mean temperature of the heavenly bodies: but I regard this order of facts as for ever excluded from our recognition. We can never learn their internal constitution, nor, in regard to some of them, how heat is absorbed by their atmosphere. We may therefore define Astronomy as the science by which we discover the laws of the geometrical and mechanical phenomena presented by the heavenly bodies.
Auguste Comte
We find upon all occasions, the early Christian writers speak of the Father as superior to the Son, and in general they give him the title of God, as distinguished from the Son; and sometimes they expressly call him, exclusively of the Son, the only true God ; a phraseology which does not at all accord with the idea of the perfect equality of all the persons in the Trinity. But it might well be expected, that the advances to the present doctrine of the Trinity should be gradual and slow. It was, indeed, some centuries before it was completely formed.
Joseph Priestley
Dialectical logic undoes the abstractions of formal logic and of transcendental philosophy, but it also denies the concreteness of immediate experience. To the extent to which this experience comes to rest with the things as they appear and happen to be, it is a limited and even false experience. It attains its truth if it has freed itself from the deceptive objectivity which conceals the factors behind the facts - that is, if it understands its world as a historical universe, in which the established facts are the work of the historical practice of man.
Herbert Marcuse
Males do not represent two discrete populations, heterosexual and homosexual. The world is not to be divided into sheep and goats. Not all things are black nor all things white. It is a fundamental of taxonomy that nature rarely deals with discrete categories. Only the human mind invents categories and tries to force facts into separated pigeon-holes. The living world is a continuum in each and every one of its aspects. The sooner we learn this concerning human sexual behavior, the sooner we shall reach a sound understanding of the realities of sex.
Alfred Kinsey