This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1887 Excerpt: ...and collective ideas, which are entirely different.2 Abstractions form the basis of collections, but are not collections. I could not have the idea of a flock of sheep, if I had not first the abstract idea of a sheep, to which each sheep in the flock conformed; for a collection is only a multiplicity of things like ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1887 Excerpt: ...and collective ideas, which are entirely different.2 Abstractions form the basis of collections, but are not collections. I could not have the idea of a flock of sheep, if I had not first the abstract idea of a sheep, to which each sheep in the flock conformed; for a collection is only a multiplicity of things like each other in certain respects. 264. Let us see, then, by what steps the mind arrives at the conception of collections. On first seeing several things together, or feeling them simultaneously, the child forms no idea of collection or plurality or difference. Granting that his understanding arrives at perception, and, consequently, that such sensations do not remain mere sensible phenomena, it does not follow that he derives from them at first the above-mentioned conceptions of multiplicity, etc. All that can be said is, that, when the child sees two things before him, he has a different perception from that which he has when he sees only one. It does not follow that the child distinguishes, in the first case, two objects; in the second, only one; he distinguishes only two different perceptions, which he is as yet unable to analyze. Multiplicity is conceived only when we can distinguish and separate the units which compose it; but when these units are perceived at once, and, according to the expression of the Schools, per modum unius, the mind gains no conception of collections. The difference between the perception of an object and the perception of several objects was what deceived Bonnet into believing he had grounds for stating that ideas of collections are formed by the action of sensible objects on our organs, as, according to his belief, our simple ideas are also formed.1 We, on the contrary, while granting that the impression received by t...
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