sung by generations since his day, has its limits.  It holds for the unwavering development of certain principles derived from Descartes, but not with equal strictness for the inter-connection of the several lines of thought followed out separately.  His very custom of developing a principle straight on to its ultimate consequences, without regard to the needs of the heart or to logical demands from other directions, make it impossible for the results of the various lines of thought to be themselves in harmony; his vertical consistency prevents horizontal consistency.  If the original tendencies come into conflict (the consciously held theoretical principles into conflict with one another, or with hidden aesthetic or moral principles), either one gains the victory over the other or both insist on their claims; thus we have inconsistencies in the one case, and contradictions in the other (examples of which have been shown by Volkelt in his maiden work, Pantheismus und Individualismus im Systeme Spinozas, 1872).  Science demands unified comprehension of the given, and seeks the smallest number of principles possible; but her concepts prove too narrow vessels for the rich plenitude of reality.  He who asks from philosophy more than mere special inquiries finds himself confronted by two possibilities:  first, starting from one standpoint, or a few such, he may follow a direct course without looking to right or left, at the risk that in his thought-calculus great spheres of life will be wholly left out of view, or, at least, will not receive due consideration; or, second, beginning from many points of departure and ascending along converging lines, he may seek a unifying conclusion.  In Spinoza we possess the most brilliant example of the former one-sided, logically consecutive power of (also, no doubt, violence in) thought, while Leibnitz furnishes the type of the many-sided, harmonistic thinking.  The fact that even the rigorous Spinoza is not infrequently forced out of the strict line of consistency, proves that the man was more many-sided than the thinker would have allowed himself to be.

To begin with the formal side of Spinozism:  the rationalism of Descartes is heightened by Spinoza into the imposing confidence that absolutely everything is cognizable by the reason, that the intellect is able by its pure concepts and intuitions entirely to exhaust the multiform world of reality, to follow it with its light into its last refuge.[1] Spinoza is just as much in earnest in regard to the typical character of mathematics.  Descartes (with the exception of an example asked for in the second of the Objections, and given as an appendix to the Meditations, in which he endeavors to demonstrate the existence of God and the distinction of body and spirit on the synthetic Euclidean method), had availed himself of the analytic form of presentation, on the ground that, though less cogent, it is more suited for instruction since it shows the way by which the matter has been