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freedom that the mystic trembles, I imagine any man of science would be content with M. Bergson's assertion that true freedom is the sense of freedom, and that in any intelligible statement of the situation, even the most indeterministic, this freedom disappears; for it is an immediate experience, not any scheme of relation between events. 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. For this very reason, perhaps, he is more at home in natural history than in the exact sciences. He has the gift of observation, and can suggest vividly the actual appearance of natural processes, in contrast to the verbal paraphrase of these processes which is sometimes taken to explain them. He is content to stop at habit without formulating laws; he refuses to assume that the large obvious cycles of change in things can be reduced to mechanism, that is, to minute included cycles repeated _ad libitum
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