The horror of mechanical physics arises, then, from attributing to that science pretensions and extensions which it does not have; it arises from the habits of theology and metaphysics being imported inopportunely into science. Similarly when M. Bergson mentions mathematics, he seems to be thinking of the supposed authority it exercises--one of Kant's confusions--over the empirical world, and trying to limit and subordinate that authority, lest movement should somehow be removed from nature, and vagueness from human thought. But nature and human thought are what they are; they have enough affinity to mathematics, as it happens, to suggest that study to our minds, and to give those who go deep into it a great, though partial, mastery over things. Nevertheless a true mathematician is satisfied with the hypothetical and ideal cogency of his science, and puts its dignity in that. Moreover, M. Bergson has the too pragmatic notion that the use of mathematics is to keep our accounts straight in this business world; whereas its inherent use is emancipating and Platonic, in that it shows us the possibility of other worlds, less contingent and perturbed than this one. If he allows himself any excursus from his beloved immediacy, it is only in the interests of practice; he little knows the pleasures of a liberal mind, ranging over the congenial realm of internal accuracy and ideal truth, where it can possess itself of what treasures it likes in perfect security and freedom. An artist in his workmanship, M. Bergson is not an artist in his allegiance; he has no respect for what is merely ideal.