Page:On the Fourfold Root, and On the Will in Nature.djvu/190

 similar, for then they would be but one. This would, I say, be applicable also to normal intuitions in Geometry, if it were not that, as exclusively spacial objects, these differ from one another in mere juxtaposition, that is, in place. Plato had long ago remarked this, as we are told by Aristotle: ἔτι δὲ, παρὰ τὰ αίσθητὰ καί τὰ είδη, τὰ μαθηυατικὰ τῶν πραγμάτων είναί φησι μεταζύ, διαφέροντα τῶν μὲν αίσθητῶν τῳ αίδια καί ἀκίνητα είναι, τῶν δὲ είδῶν τῳ τὰ μὲν πόλλ' ᾶττα ὀμοια είναι,τὸ δὲ είδος αύτὸ ἒν ἔκαστον μόνον (item, præter sensibilia et species, mathematica rerum ait media esse, a sensibilibus quidem differentia eo, quod perpetua et immobilia sunt, a speciebus vero eo, quod illorum quidem multa quædam similia sunt, species vero ipsa, unaquæque sola). Now the mere knowledge that such a difference of place does not annul the rest of the identity, might surely, it seems to me, supersede the other nine axioms, and would, I think, be better suited to the nature of science, whose aim is knowledge of the particular through the general, than the statement of nine separate axioms all based upon the same insight. Moreover, what Aristotle says: ἐν τούτοις ἡ ίσότης ἑνότης (in illis æqualitas unitas est) then becomes applicable to geometrical figures. But with reference to the normal intuitions in Time, i.e.