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one becomes an entire�察�but by putting non´Being away。 By the lessening of the alien in you�察�you increase。 Cast it aside and there is the All within you�察�engaged in the alien�察�you will not find the All。 Not that it has to come and so be present to you�察�it is you that have turned from it。 And turn though you may�察�you have not severed yourself�察�it is there�察�you are not in some far region�此�still there before it�察�you have faced to its contrary。 It is so with the lesser gods�察�of many standing in their presence it is often one alone that sees them�察�that one alone was alone in the power to see。 These are the gods who ;in many guises seek our cities;�察�but there is That Other whom the cities seek�察�and all the earth and heaven�察�everywhere with God and in Him�察�possessing through Him their Being and the Real Beings about them�察�down to soul and life�察�all bound to Him and so moving to that unity which by its very lack of extension is infinite。 SIXTH TRACTATE。
ON NUMBERS。
1。 It is suggested that multiplicity is a falling away from The Unity�察�infinity being the complete departure�察�an innumerable multiplicity�察�and that this is why unlimit is an evil and we evil at the stage of multiplicity。 A thing�察�in fact�察�becomes a manifold when�察�unable to remain self´centred�察�it flows outward and by that dissipation takes extension�此�utterly losing unity it becomes a manifold since there is nothing to bind part to part�察�when�察�with all this outflowing�察�it becomes something definite�察�there is a magnitude。 But what is there so grievous in magnitude�拭 �Given consciousness�察�there will be�察�since the thing must feel its exile�察�its sundrance from its essence。 Everything seeks not the alien but itself�察�in that outward moving there is frustration or compulsion�察�a thing most exists not when it takes multiplicity or extension but when it holds to its own being�察�that is when its movement is inward。 Desire towards extension is ignorance of the authentically great�察�a movement not on the appropriate path but towards the strange�察�to the possession of the self the way is inward。 Consider the thing that has taken extension�察�broken into so many independent items�察�it is now those several parts and not the thing it was�察�if that original is to persist�察�the members must stand collected to their total�察�in other words�察�a thing is itself not by being extended but by remaining�察�in its degree�察�a unity�此�through expansion and in the measure of the expansion�察�it is less itself�察�retaining unity�察�it retains its essential being。 Yet the universe has at once extension and beauty�拭 �Yes�察�because it has not been allowed to slip away into the limitless but is held fast by unity�察�and it has beauty in virtue of Beauty not of Magnitude�察�it needed Beauty to parry that magnitude�察�in the degree of its extension it was void of beauty and to that degree ugly。 Thus extension serves as Matter to Beauty since what calls for its ordering is a multiplicity。 The greater the expansion�察�the greater the disorder and ugliness。 2。 What�察�then�察�of the ;Number of the Infinite;�拭 �To begin with�察�how is Number consistent with infinity�拭 �Objects of sense are not unlimited and therefore the Number applying to them cannot be so。 Nor is an enumerator able to number to infinity�察�though we double�察�multiply over and over again�察�we still end with a finite number�察�though we range over past and future�察�and consider them�察�even�察�as a totality�察�we still end with the finite。 Are we then to dismiss absolute limitlessness and think merely that there is always something beyond�拭 �No�察�that more is not in the reckoner's power to produce�察�the total stands already defined。 In the Intellectual the Beings are determined and with them Number�察�the number corresponding to their total�察�in this sphere of our own´ as we make a man a multiple by counting up his various characteristics�察�his beauty and the rest´ we take each image of Being and form a corresponding image of number�察�we multiply a non´existent in and so produce multiple numbers�察�if we number years we draw on the numbers in our own minds and apply them to the years�察�these numbers are still our possession。 3。 And there is the question How can the infinite have existence and remain unlimited�此�whatever is in actual existence is by that very fact determined numerically。 But�察�first�察�if multiplicity holds a true place among Beings�察�how can it be an evil�拭 �As existent it possesses unity�察�it is a unit´multiple�察�saved from stark multiplicity�察�but it is of a lessened unity and�察�by that inwoven multiplicity�察�it is evil in comparison with unity pure。 No longer steadfast in that nature�察�but fallen�察�it is the less�察�while in virtue of the unity thence retained it keeps some value�察�multiplicity has value in so far as it tends to return to�察�unity。 But how explain the unlimited�拭�It would seem that either it is among beings and so is limited or�察�if unlimited�察�is not among beings but�察�at best�察�among things of process such as Time。 To be brought to limit it must be unlimited�察�not the limited but the unlimited is the subject of limitation�察�since between the limited and the unlimited there is no intermediate to accept the principle of limitation。 The unlimited recoils by very nature from the Idea of limit�察�though it may be caught and held by it from without�此� the recoil�察�of course�察�is not from one place to another�察�the limitless can have nothing to do with place which arises only with the limiting of the unlimited。 Hence what is known as the flux of the unlimited is not to be understood as local change�察�nor does any other sort of recognisable motion belong to it in itself�察�therefore the limitless cannot move�此�neither can it be at rest�此�in what�察�since all place is later�拭�Its movement means little more than that it is not fixed in rest。 Is it�察�then�察�suspended at some one point�察�or rocking to and fro�拭 �No�察�any such poising�察�with or without side motion�察�could be known only by place ��which Matter precedes�А� How�察�then�察�are we to form any conception of its being�拭 �We must fasten on the bare notion and take what that gives us´ opposites that still are not opposed�此�we think of large and small and the unlimited becomes either�察�of stationary and moving�察�and it will be either of these。 But primarily it can be neither in any defined degree�察�or at once it is under limit。 Limitless in this unlimited and undefined way�察�it is able to appear as either of a pair of opposites�此�draw near�察�taking care to throw no net of limit over it�察�and you have something that slips away�察�you come upon no unity for so it would be defined�察�approach the thing as a unit�察�and you find it manifold�察�call it a manifold�察�and again you falsify�察�for when the single thing is not a unity neither is the total a manifold。 In one manifestation it takes the appearance of movement�察�in another of rest�察�as the mind envisages it。 And there is movement in its lack of consciousness�察�it has passed out of Intellectual´Principle�察�slid away。 That it cannot break free but is under compulsion from without to keep to its circling with no possibility of advance�察�in this would be its rest。 Thus it is not true to speak of Matter as being solely in flux。 4。 We have to enquire into the existence of the Numbers in the Intellectual。 Are they Ideas added to the other Ideas�拭�Or are they no more than necessary concomitants to the Ideas�拭 �In the latter case�察�Being�察�as the first ��in the Intellectual�А�would give us the conception of the Monad�察�then since Being produces motion and rest�察�Three exists�察�and so on for all the other members of the realm of Being。 Or perhaps there is one monad for each member�察�or a monad for the first�察�with a dyad for its next�察�since there exists a series�察�and a corresponding number for every successive total�察�decad for ten�察�and so on。 If�察�on the contrary�察�Number is a direct production of the Intellectual´Principle ��an Idea in itself�В察�there is the question whether it preceded or followed the other Ideas。 Plato�察�where he says that men arrived at the conception of Number by way of the changes of day and night´ thus making the concept depend upon variation among things´ seems to hold that the things numerable precede and by their differences produce number�此�Number then would consist in a process within the human mind passing onwards from thing to thing�察�it results by the fact that the mind takes count�察�that is when the mind traverses things and reports their differences�察�observing pure identity unbroken by difference�察�it says One。 But there is the passage where he tells us that the veritable Number has Being�察�is a Being�察�this is the opposed view that Number is no product of the reckoning mind but a reality in itself�察�the concept of which is reawakened in the mind by changes in things of sense。 5。 What then is the veritable nature of Number�拭 �Is it an accompaniment upon each substance�察�something seen in the things as in a man we see one man�察�in a being one being and in the total of presentations the total of number�拭 �But how explain the dyad and triad�拭�How comes the total to be unitary and any particular number to be brought under unity�拭�The theory offers a multiplicity of units�察�and no number is reducible to unity but the simple ;one。; It might be suggested that a dyad is that thing´ or rather what is observed upon that thing´ which has two powers combined�察�a compound thing related to a unity�此�or numbers might be what the Pythagoreans seem to hold them in their symbolic system in which Justice�察�for example�察�is a Tetrad�此�but this is rather to add the number�察�a number of manifold unity like the decad�察�to the multiplicity of the thing which yet is one thing。 Now it is not so that we treat the ten things�察�we bring them together and apply the figure ten to the several items。 Or rather in that case we say ten�察�but when the several items form a unity we say decad。 This would apply in the Intellectual as in the sensible。 But how then can number�察�observed upon things�察�rank among Real Beings�拭 �One answer might be that whiteness is similarly observed upon things and yet is real�察�just as movement is observed upon things and there is still a real existence of movement。 But movement is not on a par with number�此�it is because mov
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