The arithmetical half of mathematics, which had been gradually growing into algebra, and had decidedly established itself as such in the Ad logisticen speciosam notae priores of Francois Vieta (1540-1603), supplied to some extent the means of generalizing geometry.
When generalizing the theory of pendulums of Jacob Bernoulli (1654-1705) he discovered a principle of dynamics so simple and general that it reduced the laws of the motions of bodies to that of their equilibrium.
His philosophy exhibited in a striking manner the generalizing tendency of the French intellect, and its logical need of grouping details round central principles.
All understanding of facts consists in generalizing concerning them.
Vera, judging only by her husband and generalizing from that observation, supposed that all men, though they understand nothing and are conceited and selfish, ascribe common sense to themselves alone.
But to what ultimate generalizing purpose all these have written, the above cited extracts will show.
He belongs distinctly to the romantic school; his forte is vivid and picturesque description, the lively presentation of scenes and actions, characters and states of society, not the subtle analysis of motives, the power of detecting the undercurrents or the generalizing faculty.
The generalizing narrative (x.
Cousin was observational and generalizing rather than analytic and discriminating.
Yet it possesses the great and characteristic merit of generalizing the solutions of his predecessors, exhibiting them all as modifications of one principle.