A Quote by John Herschel

The end of the eighteenth and the commencement of the nineteenth century are remarkable for the small amount of scientific movement going on in this country, especially in its more exact departments. Mathematics were at the last gasp, and astronomy nearly so; I mean in those members of its frame which depend upon precise measurement and systematic calculation. The chilling torpor of routine had begun to spread itself over all those branches of Science which wanted the excitement of experimental research.
Mathematics has two faces: it is the rigorous science of Euclid, but it is also something else. Mathematics presented in the Euclidean way appears as a systematic, deductive science; but mathematics in the making appears as an experimental, inductive science. Both aspects are as old as the science of mathematics itself.
Magic is that which it is; it is by itself, like the mathematics; for it is the exact and absolute science of Nature and its laws . Magic is the science of the Ancient Magi: and the Christian religion, which has imposed silence on the lying oracles, and put an end to the prestiges of the false Gods , itself reveres those Magi who came from the East, guided by a Star , to adore the Saviour of the world in His cradle.
The scientific facts, which were supposed to contradict the faith in the nineteenth century, are nearly all of them regarded as unscientific fictions in the twentieth century.
Because this exact leaf had to grow in that exact way, in that exact place, so that precise wind could tear it from that precise branch and make it fly into this exact face at that exact moment. And, if just one of those tiny little things had never had happened, I'd never have met ya. Which makes this leaf the most important leaf in human history
As I considered the matter carefully it gradually came to light that all those matters only were referred to mathematics in which order and measurements are investigated, and that it makes no difference whether it be in numbers, figures, stars, sounds or any other object that the question of measurement arises. I saw consequently that there must be some general science to explain that element as a whole which gives rise to problems about order and measurement, restricted as these are to no special subject matter. This, I perceived was called 'universal mathematics'.
In the nineteenth century some parts of the world were unexplored, but there was almost no restriction on travel.:; Up to 1914 you did not need a passport for any country except Russia.:; The European emigrant, if he could scrape together a few pounds for the passage, simply set sail for America or Australia, and when he got there no questions were asked.:; In the eighteenth century it had been quite normal and safe to travel in a country with which your own country was at war.
What if criticism is a science as well as an art? Not a pure or exact science, of course, but these phrases belong to a nineteenth-century cosmology which is no longer with us.
So if the worth of the arts were measured by the matter with which they deal, this art-which some call astronomy, others astrology, and many of the ancients the consummation of mathematics-would be by far the most outstanding. This art which is as it were the head of all the liberal arts and the one most worthy of a free man leans upon nearly all the other branches of mathe matics. Arithmetic, geometry, optics, geodesy, mechanics, and whatever others, all offer themselves in its service.
The exact sciences, which would be considered a priori as little adapted to women, for example mathematics, astronomy and physics, are exactly those in which thus far they have most distinguished themselves. This contains a warning against too precipitate conclusions about the intellectual life of woman.
Before science, before the eighteenth century, religion answered the questions, and so in the nineteenth century for instance there was a real jostling between science and religion over the truth and this is why Darwin was so controversial.
The nineteenth century will ever be known as the one in which the influences of science were first fully realised in civilised communities; the scientific progress was so gigantic that it seems rash to predict that any of its successors can be more important in the life of any nation.
Philosophers of science constantly discuss theories and representation of reality, but say almost nothing about experiment, technology, or the use of knowledge to alter the world. This is odd, because 'experimental method' used to be just another name for scientific method.... I hope [to] initiate a Back-to-Bacon movement, in which we attend more seriously to experimental science. Experimentation has a life of its own.
The more progress physical sciences make, the more they tend to enter the domain of mathematics, which is a kind of centre to which they all converge. We may even judge the degree of perfection to which a science has arrived by the facility with which it may be submitted to calculation.
At present, when the prevailing forms of society have become hindrances to the free expression of human powers, it is precisely the abstract branches of science, mathematics and theoretical physics, which ... offer a less distorted form of knowledge than other branches of science which are interwoven with the pattern of daily life, and the practicality of which seemingly testifies to their realistic character.
In the eighteenth century it was often convenient to regard man as a clockwork automaton. In the nineteenth century, with Newtonian physics pretty well assimilated and a lot of work in thermodynamics going on, man was looked on as a heat engine, about 40 per cent efficient. Now in the twentieth century, with nuclear and subatomic physics a going thing, man had become something which absorbs X-rays, gamma rays and neutrons.
Trimming consists of clipping off little bits here and there from those observations which differ most in excess from the mean, and in sticking them onto those which are too small; a species of 'equitable adjustment,' as a radical would term it, which cannot be admitted in science.
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