the conception of the subject in the mind of the person judging is more or less complete. The conception "cat" contains in the mind of a Cuvier a hundred times more than in that of his servant; therefore the same judgments about it will be synthetical for the latter, and only analytical for the former. But if we take the conceptions objectively, and now wish to decide whether a given judgment is analytical or synthetical, we must change the predicate into its contradictory opposite, and apply this to the subject without a copula. If this gives a contradictio in adjecto, then the judgment was analytical; otherwise it was synthetical.
That Arithmetic rests on the pure intuition or perception of time is not so evident as that Geometry is based upon that of space.[1] It can be proved, however, in the following manner. All counting consists in the repeated affirmation of unity. Only for the purpose of always knowing how often we have already affirmed unity do we mark it each time with another word: these are the numerals. Now repetition is only possible through succession. But succession, that is, being after one another, depends directly upon the intuition or perception of time. It is a conception which can only be understood by means of this;
- ↑ This, however, does not excuse a professor of philosophy who, sitting in Kant's chair, expresses himself thus: "That mathematics as such contains arithmetic and geometry is correct. It is incorrect, however, to conceive arithmetic as the science of time, really for no other reason than to give a pendant (sic) to geometry as the science of space" (Rosenkranz in the "Deutschen Museum," 1857, May 14, No. 20). This is the fruit of Hegelism. If the mind is once thoroughly debauched with its senseless jargon, serious Kantian philosophy will no longer enter it. The audacity to talk at random about what one does not understand has been inherited from the master, and one comes in the end to condemn without ceremony the fundamental teaching of a great genius in a tone of peremptory decision, just as if it were Hegelian foolery. We must not, however, fail to notice that these little people struggle to escape from the track of great thinkers. They would therefore have done better not to attack Kant, but to content themselves with giving their public full details about God, the soul, the actual freedom of the will, and whatever belongs to that sort of thing, and then to have indulged in a private luxury in their dark back-shop, the philosophical journal; there they may do whatever they like without constraint, for no one sees it.
