| Summary: | "It has long been a subject of remark, that while the science of mathematics, which discusses the properties and relations of space and number, is accompanied by the most conclusive evidence, and bears conviction with it at every step of its progress, the philosophy of the mind still remains enveloped in comparative darkness and uncertainty, after the intellect of ages has been expended in its investigation. The question arises, Are not both similar in their nature, and alike susceptible of demonstrative discussion? It seems evident, that they are not precisely alike, and yet much of the obscurity enveloping mental science, doubtless arises from the unphilosophical manner in which its investigations have been conducted and the inappropriate style in which the result of them has generally been recorded. The superior force of mathematical reasoning, arises from three sources. First, from an intrinsic difference in the nature of the subjects discussed.
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