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 discovered. Spinoza, on the other hand, rigorously carried out the geometrical method, even in externals. He begins with definitions, adds to these axioms (or postulates), follows with propositions or theorems as the chief thing, finally with demonstrations or proofs, which derive the later propositions from the earlier, and these in turn from the self-evident axioms. To these four principal parts are further added as less essential, deductions or corollaries immediately resulting from the theorems, and the more detailed expositions of the demonstrations or scholia. Besides these, some longer discussions are given in the form of remarks, introductions, and appendices. [Footnote 1: Heussler's objections (_Der Rationalismus des_ 17 _Jahrhunderts_, 1885, pp. 82-85) to this characterization of Kuno Fischer's are not convincing. The question is not so much about a principle demonstrable by definite citations as about an unconscious motive in Spinoza's thinking. Fischer's views on this point seem to us correct. Spinoza's mode of thinking is, in fact, saturated with this strong confidence in the omnipotence of the reason and the rational constitution of true reality.]