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The truth of this principle Post Date: Tue, 5 Aug 2008 20:45:53 +0000 If these relations are not presupposed, the geometrical theorem has no meaning. 209 Geometry in itself, or in the purely ideal order, is founded on the principle of contradiction. The truth of this principle being absolutely necessary, that of geometry is equally so. Autor of the post: Undefined It only affirms that one Post Date: Tue, 5 Aug 2008 20:59:36 +0000 But the principle of contradiction, like all purely ideal principles, abstracts existence, and is applied to nothing in practice, unless we suppose some fact to support it. Yes and no at the same time are impossible ; but the principle determines nothing for or against either of the extremes. It only affirms that one excludes the other ; if we suppose yes, it excludes no, and if we suppose no, it excludes yes ; that is to say, it always needs a condi tion, a datum which only experience can furnish. Autor of the post: Undefined Ideal sciences consider the connection Post Date: Tue, 5 Aug 2008 21:18:30 +0000 It is the same with geometry. All its theorems and problems refer to the ideal field within us, where there are certain conditions which lead to certain results, by virtue of the principle of contradiction : whenever the conditions exist, the results are true ; but if the former fail the latter are false. Ideal sciences consider the connection of conclu sions with principles in the order of possibility, but take no note of facts. Autor of the post: Undefined Passive sensibility, or the capacity Post Date: Tue, 5 Aug 2008 21:32:17 +0000 If the connection is admitted the science is true. 210 ACTIVE sensibility, or the faculty of perceiving by the senses, has been a subject of great dispute among phil osophers. Passive sensibility, or the capacity of an object to be perceived, is a question of not less interest. Autor of the post: Undefined 211 To produce an impression Post Date: Tue, 5 Aug 2008 21:51:03 +0000 Can every thing which exists be perceived by the senses ? Before answering this question, let us remember that to be perceived by the senses may be understood in two ways : First, it may mean, to cause an impression in a sensitive being ; and secondly, to be the immediate object of sensible intuition. The first is true of every being capable of pro ducing the impression ; the second is true only of those beings which unite the conditions which the intuition sup poses. 211 To produce an impression is simply to cause ; and causality is not repugnant to simple beings. Autor of the post: Undefined The relation of the sensation Post Date: Tue, 5 Aug 2008 22:02:30 +0000 There is, therefore, no absurdity in supposing that pure spirits can produce sensible impressions : were it otherwise God could not act upon our soul, causing an impression in it, without the mediation of bodies. This causality cannot be called passive sensibility ; the being which has it is not perceived by the senses. The relation of the sensation to the being which produces it would be only that of an effect to its cause. Autor of the post: Undefined 213 In this manner, it Post Date: Tue, 5 Aug 2008 22:15:35 +0000 212 To be the immediate object of sensible intuition, is to be presented to this intuition as an original to the copy. Under this view, only the extended can be perceived by the senses ; that is to say, multiplicity combined with con- ti unity is an absolutely necessary condition of our sensitive faculties in relation to external objects. 213 In this manner, it is a manifest contradiction to say that the simple can be sensible. Autor of the post: Undefined If we make this object Post Date: Tue, 5 Aug 2008 22:27:18 +0000 Instinct and reason force us to suppose a real object of sensible intuition. This in tuition is referred to the object as to something essentially composite, belonging to the order which we call continuity. If we make this object simple, it ceases to be sensible ; and we both affirm and deny its sensible objectiveness. Autor of the post: Undefined But this is to elude Post Date: Tue, 5 Aug 2008 22:45:34 +0000 It is a contradiction to suppose a faculty in act, and at the same time to deprive it of the conditions to which its action is necessarily subject. It may be said, that there is no necessity of trans ferring to the object the conditions of the subject, and therefore a simple object may be presented to the senses. But this is to elude the question at issue. Autor of the post: Undefined Our soul perceives the multiple Post Date: Tue, 5 Aug 2008 23:04:11 +0000 For, either the sensible intuition is referred to the object, or it is not; if it is, the object cannot be simple ; if it is not, we fall into idealism, which we have so often combated in the course of this work. 215 If you answer, that our soul, which is simple, has the representation of the composite, I reply, that the ob jective representation is not the same thing as the subjec tive perception of the composite ; nor the presentation of the object as multiple the same thing as the perception of the multiple. Our soul perceives the multiple, arid for this reason must itself be one, or it could not perceive that which is multiple. 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