275. Distinction between Hume’s doctrine and that of the hypothetical nature of mathematics.
276. The admission that no relations of quantity are data of sense removes difficulty as to general propositions about them.
277. Hume does virtually admit this in regard to numbers.
278. With Hume idea of vacuum impossible, but logically not more so than that of space.
279. How it is that we talk as if we had idea of vacuum according to Hume.
280. His explanation implies that we have an idea virtually the same.
281. By a like device that he is able to explain the appearance of our having such ideas as Causation and Identity.
283. Knowledge of relation in way of Identity and Causation excluded by Locke’s definition of knowledge.
284. Inference a transition from an object perceived or remembered to one that is not so.
285. Relation of cause and effect the same as this transition.