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while man was involved by his animal nature in the accidents of experience he was also by virtue of his rationality a participator in eternal truth. A substantial justice was thus done both to the conditions and to the functions of human life, although, for want of a natural history inspired by mechanical ideas, this dualism remained somewhat baffling and incomprehensible in its basis. Aristotle, being a true philosopher and pupil of experience, preferred incoherence to partiality. [Sidenote: Empirical bias in favour of contiguity.] Active life and the philosophy that borrows its concepts from practice has thus laid a great emphasis on association by contiguity. Hobbes and Locke made knowledge of this kind the only knowledge of reality, while recognising it to be quite empirical, tentative, and problematical. It was a kind of acquaintance with fact that increased with years and brought the mind into harmony with something initially alien to it. Besides this practical knowledge or prudence there was a sort of verbal and merely ideal knowledge, a knowledge of the meaning and relation of abstract terms. In mathematics and logic we might carry out long trains of abstracted thought and analyse and develop our imaginations _ad infinitum_. These speculations, however, were in the air or--what for these philosophers is much the same thing--in the mind; their applicability and their relevance to practical life and to objects given in perception remained quite problematical. A self-developing science, a synthetic science _a priori_, had a value entirely hypothetical and provisional; its practical truth depended on the verification of its results in some eventual sensible experience. Association was invoked to explain the adjustment of ideation to the order of external perception. Association, by which association by contiguity was generally understood, thus became the battle-cry of empiricism; if association by similarity had been equally in mind, the philosophy of pregnant reason could also have adopted the principle for its own. But logicians and mathematicians naturally neglect the psychology of their own processes and, accustomed as they are to an irresponsible and constructive use of the intellect, regard as a confused and uninspired intruder the critic who, by a retrospective and naturalistic method, tries to give them a little knowledge of themselves. [Sidenote: Artificial divorce of logic from practice.] Rational
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