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of some number�察�and if every number applicable to living things were not contained in it�察�it would not be the all´comprehending Life´Form。 Therefore�察�Number exists before every living thing�察�before the collective Life´Form。 Again�此�Man exists in the Intellectual and with him all other living things�察�both by possession of Real´Being and because that is the Life´Form Complete。 Even the man of this sphere is a member of the Intellectual since that is the Life´Form Complete�察�every living thing by virtue of having life�察�is There�察�There in the Life´form�察�and man is There also�察�in the Intellectual�察�in so far as he is intellect�察�for all intelligences are severally members of That。 Now all this means Number There。 Yet even in Intellect Number is not present primally�察�its presence There is the reckoning of the Acts of Intellectual´Principle�察�it tallies with the justice in Intellectual´Principle�察�its moral wisdom�察�its virtues�察�its knowledge�察�all whose possession makes That Principle what it is。 But knowledge´ must not this imply presence to the alien�拭�No�察�knowledge�察�known and knower are an identity�察�so with all the rest�察�every member of Intellectual´Principle is therefore present to it primally�察�justice�察�for example�察�is not accidental to it as to soul in its character as soul�察�where these virtues are mainly potential becoming actual by the intention towards Intellectual´Principle and association with it。 Next we come to Being�察�fully realized�察�and this is the seat of Number�察�by Number�察�Being brings forth the Beings�察�its movement is planned to Number�察�it establishes the numbers of its offspring before bringing them to be�察�in the same way as it establishes its own unity by linking pure Being to the First�此�the numbers do not link the lower to the First�察�it suffices that Being is so linked�察�for Being�察�in taking form as Number�察�binds its members to itself。 As a unity�察�it suffers no division�察�remaining self´constant�察�as a thing of division�察�containing its chosen total of members�察�it knows that total and so brings forth Number�察�a phase therefore of its content�此�its development of part is ruled by the powers of Number�察�and the Beings it produces sum to that Number。 Thus Number�察�the primal and true�察�is Principle and source of actuality to the Beings。 Hence it is that in our sphere�察�also�察�Number accompanies the coming to be of particular things and to suppose another number than the actual is to suppose the production of something else or of nothing。 These then are the primal numbers�察�they are numerable�察�the numbers of the other order are of a double character�察�as derived from the first numbers they are themselves numerable but as acting for those first they are measures of the rest of things�察�numbering numbers and numerables。 For how could they declare a Decad save in the light of numbers within themselves�拭 �16。 But here we may be questioned about these numbers which we describe as the primal and authentic�此 �Where do you place these numbers�察�in what genus among Beings�拭�To everyone they seem to come under Quantity and you have certainly brought Quantity in�察�where you say that discrete Quantity equally with the continuous holds place among Beings�察�but you go on to say that there are the numbers belonging to the Firsts and then talk of other numbers quite distinct�察�those of reckoning�察�tell us how you arrange all this�察�for there is difficulty here。 And then�察�the unity in sense´things´ is that a quantity or is quantity here just so many units brought together�察�the unity being the starting´point of quantity but not quantity itself�拭�And�察�if the starting´point�察�is it a kindred thing or of another genus�拭�All this you owe it to us to make clear。; Be it so�察�we begin by pointing out a distinction�此 �You take one thing with another´ for we must first deal with objects of sense´ a dog and a man�察�or two men�察�or you take a group and affirm ten�察�a decad of men�此�in this case the number affirmed is not a Reality�察�even as Reality goes in the sphere of sense�察�but is purely Quantity�此�similarly when you resolve into units�察�breaking up the decad�察�those units are your principle of Quantity since the single individual is not a unity absolute。 But the case is different when you consider one man in himself and affirm a certain number�察�duality�察�for example�察�in that he is at once living and reasoning。 By this analysis and totalling�察�you get quantity�察�but there are two objects under consideration and each of these is one�察�each of the unities contributes to the complete being and the oneness is inherent in each�察�this is another kind of number�察�number essential�察�even the duality so formed is no posterior�察�it does not signify a quantity apart from the thing but the quantity in the essence which holds the thing together。 The number here is no mere result of your detailing�察�the things exist of themselves and are not brought together by your reckoning�察�but what has it to do with essential reality that you count one man in with another�拭�There is here no resultant unity such as that of a choir´ the decad is real only to you who count the ten�察�in the ten of your reckoning there cannot be a decad without a unitary basis�察�it is you that make the ten by your counting�察�by fixing that tenness down to quantity�察�in choir and army there is something more than that�察�something not of your placing。 But how do you come to have a number to place�拭 �The Number inherent apart from any enumeration has its own manner of being�察�but the other�察�that resulting upon the appearance of an external to be appraised by the Number within yourself�察�is either an Act of these inherent numbers or an Act in accordance with them�察�in counting we produce number and so bring quantity into being just as in walking we bring a certain movement into being。 But what of that ;Number within us having its own manner of being;�拭 �It is the Number of our essence。 ;Our essence; we read ;partakes of Number and harmony and�察�also�察�is Number and harmony。; ;Neither body nor magnitude�察─�someone says�此�soul�察�then�察�is Number since it is essence。 The number belonging to body is an essence of the order of body�察�the number belonging to soul constitutes the essences of souls。 In the Intellectuals�察�all�察�if the Absolute Living´Form�察�there is a multiple´ a triad�察�let us say´ that Triad of the Living´Form is of the nature of essence�此�and the Triad prior to any living thing�察�Triad in the realm of Being�察�is a principle of essence。 When you enumerate two things´ say�察�animal and beauty´ each of these remains one thing�察�the number is your production�察�it lay within yourself�察�it is you that elaborate quantity�察�here the dyad。 But when you declare virtue to be a Tetrad�察�you are affirming a Tetrad which does actually exist�察�the parts�察�so to speak�察�make one thing�察�you are taking as the object of your act a Unity´ Tetrad to which you accommodate the Tetrad within yourself。 17。 But what of the Infinite Number we hear of�察�does not all this reasoning set it under limit�拭 �And rightly so if the thing is to be a number�察�limitlessness and number are in contradiction。 How�察�then�察�do we come to use the term�拭�Is it that we think of Number as we think of an infinite line�察�not with the idea that any such lire exists but that even the very greatest´ that of the ��path of the�А�universe�察�for example´ may be thought of as still greater�拭�So it might be with number�察�let it be fixed�察�yet we still are free to think of its double�察�though not of course to produce the doubled quantity since it is impossible to join to the actual what is no more than a conception�察�a phantasm�察�private to ourselves。 It is our view that there does exist an infinite line�察�among the Intellectual Beings�此�for There a line would not be quantitative and being without quantity could be numerically infinite。 This however would be in another mode than that of limitless extension。 In what mode then�拭�In that the conception of the Absolute Line does not include the conception of limit。 But what sort of thing is the Line in the Intellectual and what place does it hold�拭 �It is later than Number since unity is observed in it�察�it rises at one point and traverses one course and simply lacks the quantity that would be the measure of the distance。 But where does this thing lie�拭�Is it existent only in the defining thought�察�so to speak�拭 �No�察�it is also a thing�察�though a thing of the Intellectual。 All that belongs to that order is at once an Intellectual and in some degree the concrete thing。 There is a position�察�as well as a manner of being�察�for all configurations�察�for surface�察�for solid。 And certainly the configurations are not of our devising�察�for example�察�the configurations of the universe are obviously antecedent to ourselves�察�so it must be with all the configurations of the things of nature�察�before the bodily reproductions all must exist There�察�without configuration�察�primal configurations。 For these primals are not shapes in something�察�self´belonging�察�they are perfect without extension�察�only the extended needs the external。 In the sphere of Real´Being the configuration is always a unity�察�it becomes discrete either in the Living´Form or immediately before�此�I say ;becomes discrete; not in the sense that it takes magnitude There but that it is broken apart for the purpose of the Living´Form and is allotted to the bodies within that Form´ for instance�察�to Fire There�察�the Intellectual Pyramid。 And because the Ideal´Form is There�察�the fire of this sphere seeks to produce that configuration against the check of Matter�此�and so of all the rest as we read in the account of the realm of sense。 But does the Life´Form contain the configurations by the mere fact of its life�拭 �They are in the Intellectual´Principle previously but they also exist in the Living´Form�察�if this be considered as including the Intellectual´Principle�察�then they are primally in the Life´Form�察�but if that Principle comes first then they are previously in that。 And if the Life´Form entire contains also souls�察�it must certainly be subsequent to the Intellectual´Principle。 No doubt there is the passage ;Whatever Intellect sees in the entire Life´Form;�察�thus seeing�察�must not the Intellectual´Principle be the later�拭 �No�察�the seeing may imply merely that the reality comes into being by the fact of that seeing�察�the Intellectual´Principle is not external to the Life´Form�察�all is one�察�the Act of the Intellectual´Principle possesses itself of bare sphere�察�while the Life´Form holds the sphere as sphere of a living total。 18。 It appears then that Number in that realm is definite�察�it is we that can conceive the ;More than is present;�察�the infinity lies in our counting�此�in the Real is no conceiving more than has been conceived�察�all stands entire�察�no number has been or could be omitted to make addition possible。 It might be described as infinite in the sense that it has not been measured´ who is there to measure it�拭� but it is solely its own�察�a concentrated unit�察�entire�察�not ringed round by any boundary�察�its manner of being is settled for it by itself alone。 None of the Real´Beings is under limit�察�what is limited�察�measured�察�is what needs measure to prevent it running away into the unbounded。 There every being is Measure�察�and therefore it is that all is beautiful。 Because that is a living thin