The mathematical portion of this course consisted of Euclid,
algebra, and trigonometry, the student being thus trained in the
model processes of pure mathematical reasoning left us by the
first, and also brought acquainted with the elementary operations
of analysis. As a matter of mental training, the most valuable
portion of this curriculum was the knowledge acquired of the
geometrical processes employed by Euclid, as familiarising the mind
of the student with the severest forms of reasoning, and the steps
whereby indubitable verity is attained. This portion, however, was
most especially selected for curtailment by the reforms to which
we are alluding. In the stead of the requirements thus displaced,
a motley amount of elementary propositions in statics, dynamics,
and hydrostatics, were substituted--useful information enough as
instances of the simpler applications of the analytical machinery
of mathematics, but comparatively worthless as an exercise of
the mind. Country clergymen, whose forgotten mathematics loomed
grandly on their minds through the mist of years, were confounded
with disappointment at beholding their sons, in whom they expected
to find philosophers, return to them with an examination paper,
apparently rather calculated to unfold the mysteries of engineering,
well-sinking, and carpentering.
This object--the practicability and immediate utility of the studies
pursued, in preference to the superiority of mental training
derivable from them--seems to be simply that which has dictated
the recent innovations of 1848. The principle which entered into
both measures may easily be traced in the prevalent phases of
literature and science throughout the public at large. A few years
ago, every one fancied himself a philosopher. Little volumes,
cabinet cyclopædias and the like, swarmed on the booksellers'
shelves, containing a string of disjointed and bald scientific
facts, involving no truth and expressive of no law, but more or less
adroitly arranged under several heads, with a _savant_ air. The
man of business--the apprentice--the boarding-school miss--took it
into their heads that a royal road was thus opened to all branches
of useful and entertaining knowledge,--that the acquirements of
Bacon were "in this wonderful age" brought within the reach of
every one who had an occasional hour or two in the day to spare
from more mechanical employments; and that the progress from
ignorance to philosophy was as much facilitated by these little-book
contrivances, as the journey from London to Birmingham, by the
rushing railway-train, was an advance upon the week's toil of our
forefathers in accomplishing the same space. Much of this mania for
desultory knowledge has evaporated, but its influences are still
distinctly to be traced among us. It is not surprising that those
influences should in some measure have affected the universities.
In accordance with the popular notions afloat, the Cambridge
Public-domain text, read in full here on John Shaqi.
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