Notes and Queries, Number 57, November 30, 1850 | Page 6

The subject was better adapted to the weaver's mechanical life than any other that could be named; for even the other favourite subjects, botany and entomology, required the suspension of their proper employment at the loom. The formation of the Oldham Society was calculated to keep alive the aspiration for distinction, as well as to introduce novices into the arcanium of geometry. There was generous co-operation, and there was keen competition,--the sure stimulants to eminent success. The unadulterated love of any intellectual pursuit, apart from the love of fame or the hope of emolument, is a rare quality in all stages of society. Few men, however, seem to have realised Basil Montagu's idea of being governed by "a love of excellence rather than the pride of _excelling_," so closely as the Lancashire geometers of that period--uncultivated as was the age in which they lived, rude as was the society in which their lives were passed, and selfish as the brutal treatment received in those days by mechanics from their employers, was calculated to render them. They were surrounded, enveloped, by the worst social and moral influences; yet, so far as can now be gathered from isolated remarks in the periodicals of the time, they may be held up as a pattern worthy of the imitation of the philosophers of our own time in respect to the generosity and strict honour which marked their intercourse with one another.
Mathematicians seldom grow up solitarily in any locality. When one arises, the absence of all external and social incentives to the study can only betoken an inherent propensity and constitutional fitness for it. Such a man is too much in earnest to keep his knowledge to himself, or to wish to stand alone. He makes disciples,--he aids, encourages, guides them. His own researches are fully communicated; and this with a prodigality proportioned to his own great resources. He feels no jealousy of competition, and is always gratified by seeing others successful. Thus such bodies of men are created in wonderfully short periods by the magnanimous labours of one ardent {438} spirit. These are the men that found societies, schools, sects; wherever one unselfish and earnest man settles down, there we invariably find a cluster of students of his subject, that often lasts for ages. Take, for instance, Leeds. There we see that John Ryley created, at a later period, the Yorkshire school of geometers; comprising amongst its members such men as Swale, Whitley, Ryley ("Sam"), Gawthorp, Settle, and John Baines. This, too, was in a district in many respects very analogous to Lancashire, but especially in the one to which the argument more immediately relates:--it was a district of weavers, only substituting wool for cotton, as cotton had in the other case been substituted for the silk of Spitalfields.
We see nothing like this in the agricultural districts; neither do we in those districts where the ordinary manufacturing operations themselves require the employment of the head as well as the hands and feet. With the exception, indeed, of the schoolmaster, and the exciseman, and the surveyor, there are comparatively few instances of persons whose employment was not strictly sedentary having devoted their intellectual energies to mathematics, independent of early cultivation. To them the subject was more or less professional, and their devotion to it was to be expected--indeed far more than has been realised. It is professional now to a larger and more varied class of men, and of course there is a stronger body of non-academic mathematicians now than at any former period. At the same time it may be doubted whether there be even as many really able men devoted to science purely and for its own sake in this country as there were a century ago, when science wore a more humble guise.
Combining what is here said with the masterly analysis which MR. WILKINSON has given of the books which were accessible to these men, it appears that we shall be able to form a correct view on the subject of the Lancashire geometers. Of course documentary evidence would be desirable--it would certainly be interesting too.
To such of your readers as have not seen the mathematical periodicals of that period, the materials for which were furnished by these men, it may be sufficient to state that the "NOTES AND QUERIES" is conceived in the exact spirit of those works. The chief difference, besides the usual subject-matter, consists in the greater formality and "stiffness" of those than of this; arising, however, of necessity out of the specific and rigid character of mathematical research in itself, and the more limited range of subjects that were open to discussion.
The one great defect of the researches of those men was, that they were conducted in a manner so desultory, and that the subjects themselves were often