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prior to the individual�此�but what is prior by nature is prior unconditionally。 How then can the Form take a lower rank�拭�The individual�察�it is true�察�is prior in the sense of being more readily accessible to our cognisance�察�this fact�察�however�察�entails no objective difference。 Moreover�察�such a difference�察�if established�察�would be incompatible with a single Reason´Principle of Substance�察�First and Second Substance could not have the same Principle�察�nor be brought under a single genus。 10。 Another method of division is possible�此�substances may be classed as hot´dry�察�dry´cold�察�cold´moist�察�or however we choose to make the coupling。 We may then proceed to the combination and blending of these couples�察�either halting at that point and going no further than the compound�察�or else subdividing by habitation´ on the earth�察�in the earth´ or by form and by the differences exhibited by living beings�察�not qua living�察�but in their bodies viewed as instruments of life。 Differentiation by form or shape is no more out of place than a division based on qualities´ heat�察�cold and the like。 If it be objected that qualities go to make bodies what they are�察�then�察�we reply�察�so do blendings�察�colours�察�shapes。 Since our discussion is concerned with Sensible Substance�察�it is not strange that it should turn upon distinctions related to sense´perception�此�this Substance is not Being pure and simple�察�but the Sensible Being which we call the Universe。 We have remarked that its apparent subsistence is in fact an assemblage of Sensibles�察�their existence guaranteed to us by sense´perception。 But since their combination is unlimited�察�our division must be guided by the Form´Ideas of living beings�察�as for example the Form´Idea of Man implanted in Body�察�the particular Form acts as a qualification of Body�察�but there is nothing unreasonable in using qualities as a basis of division。 We may be told that we have distinguished between simple and composite bodies�察�even ranking them as opposites。 But our distinction�察�we reply�察�was between material and organic bodies and raised no question of the composite。 In fact�察�there exists no means of opposing the composite to the simple�察�it is necessary to determine the simples in the first stage of division�察�and then�察�combining them on the basis of a distinct underlying principle�察�to differentiate the composites in virtue of their places and shapes�察�distinguishing for example the heavenly from the earthly。 These observations will suffice for the Being ��Substance�В察�or rather the Becoming�察�which obtains in the Sensible realm。 11。 Passing to Quantity and the quantum�察�we have to consider the view which identifies them with number and magnitude on the ground that everything quantitative is numbered among Sensible things or rated by the extension of its substrate�此�we are here�察�of course�察�discussing not Quantity in isolation�察�but that which causes a piece of wood to be three yards long and gives the five in ;five horses�察─ �Now we have often maintained that number and magnitude are to be regarded as the only true quantities�察�and that Space and Time have no right to be conceived as quantitative�此�Time as the measure of Motion should be assigned to Relation�察�while Space�察�being that which circumscribes Body�察�is also a relative and falls under the same category�察�though continuous�察�it is�察�like Motion�察�not included in Quantity。 On the other hand�察�why do we not find in the category of Quantity ;great; and ;small;�拭�It is some kind of Quantity which gives greatness to the great�察�greatness is not a relative�察�though greater and smaller are relatives�察�since these�察�like doubleness�察�imply an external correlative。 What is it�察�then�察�which makes a mountain small and a grain of millet large�拭�Surely�察�in the first place�察 �small; is equivalent to ;smaller。; It is admitted that the term is applied only to things of the same kind�察�and from this admission we may infer that the mountain is ;smaller; rather than ;small�察─�and that the grain of millet is not large in any absolute sense but large for a grain of millet。 In other words�察�since the comparison is between things of the same kind�察�the natural predicate would be a comparative。 Again�察�why is not beauty classed as a relative�拭�Beauty�察�unlike greatness�察�we regard as absolute and as a quality�察 �more beautiful; is the relative。 Yet even the term ;beautiful; may be attached to something which in a given relation may appear ugly�此�the beauty of man�察�for example�察�is ugliness when compared with that of the gods�察 �the most beautiful of monkeys�察─�we may quote�察 �is ugly in comparison with any other type。; Nonetheless�察�a thing is beautiful in itself�察�as related to something else it is either more or less beautiful。 Similarly�察�an object is great in itself�察�and its greatness is due�察�not to any external�察�but to its own participation in the Absolute Great。 Are we actually to eliminate the beautiful on the pretext that there is a more beautiful�拭�No more then must we eliminate the great because of the greater�此�the greater can obviously have no existence whatever apart from the great�察�just as the more beautiful can have no existence without the beautiful。 12。 It follows that we must allow contrariety to Quantity�此�whenever we speak of great and small�察�our notions acknowledge this contrariety by evolving opposite images�察�as also when we refer to many and few�察�indeed�察 �few; and ;many; call for similar treatment to ;small; and ;great。; ;Many�察─�predicated of the inhabitants of a house�察�does duty for ;more;�此 �few; people are said to be in the theatre instead of ;less。; ;Many�察─�again�察�necessarily involves a large numerical plurality。 This plurality can scarcely be a relative�察�it is simply an expansion of number�察�its contrary being a contraction。 The same applies to the continuous ��magnitude�В察�the notion of which entails prolongation to a distant point。 Quantity�察�then�察�appears whenever there is a progression from the unit or the point�此�if either progression comes to a rapid halt�察�we have respectively ;few; and ;small;�察�if it goes forward and does not quickly cease�察 �many; and ;great。; What�察�we may be asked�察�is the limit of this progression�拭�What�察�we retort�察�is the limit of beauty�察�or of heat�拭�Whatever limit you impose�察�there is always a ;hotter;�察�yet ;hotter; is accounted a relative�察 �hot; a pure quality。 In sum�察�just as there is a Reason´Principle of Beauty�察�so there must be a Reason´Principle of greatness�察�participation in which makes a thing great�察�as the Principle of beauty makes it beautiful。 To judge from these instances�察�there is contrariety in Quantity。 Place we may neglect as not strictly coming under the category of Quantity�察�if it were admitted�察 �above; could only be a contrary if there were something in the universe which was ;below;�此�as referring to the partial�察�the terms ;above; and ;below; are used in a purely relative sense�察�and must go with ;right; and ;left; into the category of Relation。 Syllable and discourse are only indirectly quantities or substrates of Quantity�察�it is voice that is quantitative�此�but voice is a kind of Motion�察�it must accordingly in any case ��quantity or no quantity�А�be referred to Motion�察�as must activity also。 13。 It has been remarked that the continuous is effectually distinguished from the discrete by their possessing the one a common�察�the other a separate�察�limit。 The same principle gives rise to the numerical distinction between odd and even�察�and it holds good that if there are differentiae found in both contraries�察�they are either to be abandoned to the objects numbered�察�or else to be considered as differentiae of the abstract numbers�察�and not of the numbers manifested in the sensible objects。 If the numbers are logically separable from the objects�察�that is no reason why we should not think of them as sharing the same differentiae。 But how are we to differentiate the continuous�察�comprising as it does line�察�surface and solid�拭�The line may be rated as of one dimension�察�the surface as of two dimensions�察�the solid as of three�察�if we are only making a calculation and do not suppose that we are dividing the continuous into its species�察�for it is an invariable rule that numbers�察�thus grouped as prior and posterior�察�cannot be brought into a common genus�察�there is no common basis in first�察�second and third dimensions。 Yet there is a sense in which they would appear to be equal´ namely�察�as pure measures of Quantity�此�of higher and lower dimensions�察�they are not however more or less quantitative。 Numbers have similarly a common property in their being numbers all�察�and the truth may well be�察�not that One creates two�察�and two creates three�察�but that all have a common source。 Suppose�察�however�察�that they are not derived from any source whatever�察�but merely exist�察�we at any rate conceive them as being derived�察�and so may be assumed to regard the smaller as taking priority over the greater�此�yet�察�even so�察�by the mere fact of their being numbers they are reducible to a single type。 What applies to numbers is equally true of magnitudes�察�though here we have to distinguish between line�察�surface and solid´ the last also referred to as ;body;´ in the ground that�察�while all are magnitudes�察�they differ specifically。 It remains to enquire whether these species are themselves to be divided�此�the line into straight�察�circular�察�spiral�察�the surface into rectilinear and circular figures�察�the solid into the various solid figures´ sphere and polyhedra�此�whether these last should be subdivided�察�as by the geometers�察�into those contained by triangular and quadrilateral planes�此�and whether a further division of the latter should be performed。 14。 How are we to classify the straight line�拭�Shall we deny that it is a magnitude�拭 �The suggestion may be made that it is a qualified magnitude。 May we not�察�then�察�consider straightness as a differentia of ;line;�拭�We at any rate draw on Quality for differentiae of Substance。 The straight line is�察�thus�察�a quantity plus a differentia�察�but it is not on that account a composite made up of straightness and line�此�if it be a composite�察�the composite possesses a differentiae of its own。 But ��if the line is a quantity�А�why is not the product of three lines included in Quantity�拭�The answer is that a triangle consists not merely of three lines but of three lines in a particular disposition�察�a quadrilateral of four lines in a particular disposition�此�even the straight line involves disposition as well as quantity。 Holding that the straight line is not mere quantity�察�we should naturally proceed to assert that the line as limited is not mere quantity�察�but for the fact that the limit of a line is a point�察�which is in the same category�察�Quantity。 Similarly�察�the limited surface will be a quantity�察�since lines�察�which have a far better right than itself to this category�察�constitute its limits。 With the introduction of the limited surface´ rectangle�察�hexagon�察�polygon´ into the category of Quantity�察�this category will be brought to include every figure whatsoever。 If however by classing the triangle and the rectangle as qualia we propose to bring figures under Quality�察�we are not thereby precluded from assigning the same object to more categories than one�此�in so far as it is a magnitude´ a magnitude of such