Avicenna’s Reception of the Categories

Allan Bäck

The Modern Reputations of Islamic Logic

Avicenna’s Method

Avicenna’s Results

A General Theory of Homonymy

Paronymous Terms

Avicenna’s Ontological Pentagon

The Antepredicamental Rule

The List of Categories

First versus Primary Substance

Quantity and Corporeity

Relata and their Hypostases

Concluding Remarks


Avicenna’s Reception of the Categories

Allan Bäck

I. The Modern Reputations of Islamic Logic

II. Avicenna’s Method

III. Avicenna’s Novelties

A General Theory of Homonymy

It may be said that everything that is not by way of agreement [synonymy] is by coincidence of the name [homonymy].  This has three divisions: because either [I] the sense is one in itself, even through it differs in another respect, or [II] it is not one, but between the two of them there is a similarity, or [III] it is not one and there is also not a similarity between them. [Al-Maqūlāt 10,4-7]

 

Paronymous Terms

The derivative [paronym] has a name to which it has some relationship, namely a relationship to some sense, whether the sense be existent in it, like ‘eloquence’, or [belong] to it like ‘wealth’ or be a subject for one of its actions, like ‘sharp’.  So it is intended to signify the existence of its relationship through an expression signifying the expression [belonging] to that first sense.  (This) is not the same as signifying a difference in the sense of the relationship for the sense of what has a relationship to it, when it is not disparate from it in any mode. So it is not suitable for being gestured at.  [1] The difference between the two expressions is in the vowelization [šakl], while the inflection is a difference signifying, by linguistic convention in grammar, the attachment between the two of them.  So it is said: ‘eloquent’ or ‘wealthy’ or ‘sharpener’.  Or, [2] in it something signifying the relationship is added and then it is said: ‘grammatical’ and ‘Koreishite’.  Or, [3] by it another act is done that the conventions of one language and not (those of) another language require.  It is a circumstance of this expression in the second [case] that it is said about it that it is derived from the first or attributed to it, just as if it had been taken as exactly the same.  So it is said to be transferred by resemblance, just as if he in whom there is justice were named not “just” but were named “justice” too.  This is not of the class that they call derivative [paronymous] and attributed.  Rather, [this is] of the class that is said by similarity of the name and its coincidence [ambiguity and homonymy] and is transferred from the first to the second [but] not derivatively [paronymously].

                The derivative [paronymous] needs a name of the subject to have a sense, and (needs) something else having an attribution to that sense, and (needs) the participation [homonymy] for the name of this other (thing) with the name of the first (one) and (needs) some alteration attached to it.

                As for the distinction made between the derivative [paronymous] and the attributive, it makes the attributive what is signified by the attachment of the expression of the attribution to the expression of the thing, like ‘the Hindī’ [‘Indian (sword)’].  It makes the derivative what is signified through an alteration attached to an expression like ‘muhannad ’ [‘made of Indian (steel)’].  The Greeks have another convention in these two matters. [Al-Maqūlāt 16,18-17,14]

 

They do not avoid the stupidity of the Arabs and Persians also in saying: you see him in a pleasant place [good circumstances], or on the bed.  Examples of this are (such) that in their opinion these states are qualities of the states of people. [Al-Maqūlāt 167,15-7]

 

Avicenna’s Ontological Pentagon

I say, first, that an examination of the theory might make necessary abandoning what is widely accepted [endoxic].  When your hearing that gives you reservations, suppose it good, and don’t be worried by receiving new, unaccustomed [doctrine]. Know that the intelligent (person) does not deviate from what is widely accepted when it is avoidable. Moreover, know that the characteristics of objects have divisions: because either [1] the essence of what is being characterized may be fixed (in) a subsistent sense, and then the characteristic by which it is being characterized is attached to it externally, (in) an inseparable or an accidental attachment, or [2] what is being characterized has been taken insofar as its essence has been fixed. However (here) the characteristic by which it is being characterized is not attached to it (in) an attachment of an external object.  Rather, it is part of its subsistence. Or [3] it has been taken insofar as its essence has not been fixed later, while the characteristic is attached to it so as to fix its essence, while it is not part of its essence, or [4] it has been taken insofar as its essence has not been fixed later, while the characteristic is not attached to it externally.  Rather, it is part of its existence; or [5] its essence has not been fixed, while the characteristic is attached [to it] not due to the very essence [per se].  Rather, what fixes it or is accidental to it first has a necessary attachment. [Al-Maqūlāt 18,4-13]

 

The List of Categories

Besides that, part of the widely accepted replies to these [questions] concedes that these things are external to the ten [categories], while they do not talk affectedly of a species other than [what is given in] the reply.  In particular, some of them are analogous to principles, like unity and point and prime matter and form.  So they maintain that the principles are not included in something from the categories.  That is because these principles are principles of the categories.  If the principles of the categories were included in the categories, then they would be principles for themselves.  One group of (these commentators) does not concede the externality of principles from the categories.  Rather, it puts the principle and what has the principle into a single category, and says: the unity of a totality is the quantum, and the one is in number, and number is a quantum, and likewise the point is in the line, and the line is a quantum.  Likewise they say about privations that they are in the categories of their [the correlated] possessions, like blindness in quale, and rest in the category of “is acted upon” [passion], if motion is in the category of “is acted upon”.  (One) band of dissenters give[s] an elaboration, and make[s] many categories for a single thing.  They say, for instance, that a point, insofar as it is an extremity of a line, is a relatum, and, insofar as it is some shape, is a quale, and that the north, insofar as it is a body, is a substance, and, insofar as it is moving, is in the category of “is acted upon”, and, insofar as it pertains to one of the two poles, is a “where” [place]; and having breakfast, insofar as it is a movement, is in the category of “acts” [action], and, insofar as it belongs to the one eating, is a relatum, and, insofar as it is at a specific time, is in the category of ‘when” [time]. [Al-Maqūlāt 71,15-72,10]

 

One thing bearing on the investigation that we are about has remained, [namely,] the consideration of the correctness of the number of the categories and [whether,] if their restriction into a smaller number is not possible, their ampliation into a larger number is not possible.  This is something that a great number of logicians have attempted.  I do not see any truth (in their) treatment(s).  The way to correct that arises relative to three modes of contemplation: [1] one of them is that it is explained that nothing is of these categories unless it is said of what is below [them in] a statement of the genus, and this needs there to be explained that its predication of what is under them [sc., the categories] is not by way of a coincidence in name [homonymy]. Nor is it by way of the predication of a single sense differing in priority and posteriority, and so it is by way of equivocation.  Nor also (is it) by way of a statement of the inseparable [attributes] that are said of what is under them equally, without any difference.  However, it [such a thing] is not of the categories, but rather is of the inseparables or relational objects by which the quiddity of a thing is not constituted.  When they explain that the predication of a category of what they make its species is a predication in a single sense constitutive for the quiddity of those species, and is not by way of one of the excluded modes, (then) every one of them would be a genus in reality for what is made its species, and the relationship of one of them to what is made its species is not a relationship of an accident to the relationship or a relationship of the existent to the ten [categories], or a relationship of the relationship to a number of them, like the “where” [place] and “when” [time] and “wearing” [having] and action and passion. So, if it is the quality for instance, it would not occur to things being made its species according to the conditions of the occurrence of the genus, and yet it would have occurred to them by way of inseparable [attributes], and, if it is in a single sense, it [quality] would not be a genus for what is under it.  Rather, if the predication of what is under it of what is more specific than what is under it is a constitutive predication, everything that is under it in reality would itself come to be the highest genus, and, for instance, their first genus would be what is called a passive quality and passions, while, for instance, the other genus would be the traits and the states, and then the quality would be said of these, not by way of a statement of the genus, but by way of [a statement of] the inseparable [attributes, sc. the propria], [and so] the number of the genera that are in reality highest genera would be above the number mentioned [sc., more than ten].  This mode of minute contemplation is something with which one of the preceding [commentators?] was not concerned. [Al-Maqūlāt 82,4-83,3]

 

First versus Primary Substance

Singular substances are not first in the reality of substantiality even if they are primary.  There is a distinction between the first and the primary.  Not everything that is primary to something is before [prior to] it. Rather, it may be primary to it when there are attachments of the thing, where its perfections [belong] to it more than to something else, or as prior to it in existence more than to something else.  The particulars are not first in the reality of substantiality, since that reality [belongs] to the quiddity having it and does not differ in it from something else. [Al-Maqūlāt 96,1-4]

 

Quantity and Corporeity

So we say: the confirmation of these things is not that with which the logician is charged.  Rather, it is necessary for the logician to accept what we say, where its explanation for him is in the other arts.  We say: it is necessary to know that every body is finite.  However, the definition of body, insofar as it is body, is not the definition of ‘body’ and ‘finite’, insofar as it is finite.  The finite is inseparable from every body after the definition of corporeity has constituted body.  Because of that, body may be thought a body while its finitude is not being thought, so long as it is not elucidated by a demonstrations elucidating the accidents sought for the subjects.  So finitude is not included in the quiddity of body.  Surface is not part of the definition of body.

                Nevertheless, even though every body is finite, the dimensions are not necessary (in) their incidence in the body in actuality.  The sphere, insofar as it is a sphere, is a body, and it [body] is not encompassed by it except in a single limit, while there are not determined in it dimensions distinct in actuality.  Rather, body is body because it has its situation and its natural disposition insofar as it is possible for there to be determined in it three dimensions absolutely that intersect at a single limit sharing an intersection at right angles.  This is the form of corporeity.

                The thing about which it is possible for you to determine a dimension, and then another dimension intersecting it at a right angle, and then a third intersecting the first two at the first intersection at right angles, is the body.  Thus, when two bodies differ through one of them receiving one of the dimensions or two of them or three of them as smaller or bigger than the dimensions that are in the other body, then it does not differ from it at all in receiving three dimensions absolutely, while it does differ from it in what it receives of the dimensions according to what has been mentioned. Insofar as it receives three dimensions of body absolutely, and insofar as it receives the same three dimensions, or the three that are existent in it in actuality, if it is possible, then it is [so] insofar as it is measured and has that insofar as it is measured, whether the measurement has not been made determinate for it at all, if it is possible, or has been made determinate for it. The corporeal form that is its substantial form is that in which one body is not added to (another) body.  So it is of the class of the first division, and is the form of a substance.  Rather, it is a substance and0 not an accident. (The thing) that is determined as appearing to the measurement in three dimensions, (in) a measurement (that is) limited or unlimited, is the accident that is in the quantum type. [Al-Maqūlāt 113,1-114,5]

 

Relata and their Hypostases

The relatum is a similar case.  The name of the relatum is said, in (its) primary imposition, in philosophy according to the sense given above, namely, it is that whose quiddity is said of the characteristic mentioned above without considering whether it has, or does not have, an existence different from that, so that, when the thing is a substance or a quality, (and) then a relationship is attached to it, and it is considered in respect of its relationship, then, insofar as it is like that, there is (something) said of the quiddity in comparison to something else.  Then it is a relatum, while having a specific quiddity that is not said in comparison.  When the thing is like paternity and filiation, and its quiddity is said in comparison to something else, even though it does not have another existence and another quiddity, then it is also a relatum, and then the relatum has occurred to the two senses together (in) an occurrence defining it, even if they both together do not have a genus.  So not everything that is predicated in the sense of two categories, or of two things from two categories, or of two things from a single category, is a genus for the two categories.  You have learned and verified this.  When it is like that, then the sense of the relatum taken in the definition is this common sense, while the sense of the relatum being defined is this specific sense.  So [it is] just as, when the real possible is defined, the one defining it says: the real possible is that which is possible to be and possible not to be, his statement is not disordered in the respect that the thing is taken in the explanation of itself, because he is not bringing in the possible taken in the definition except (in) the generic sense that is in the sense of the not-impossible.  Because of that, when he says: the real relatum which he is defining according to its being one of the ten [categories] is that whose quiddity and existence is (such) as to be a relatum, and he means that it is that whose quiddity and existence are (such) that it is (something) said of the quiddity in comparison, while that it does not have an existence different from that, [then] he has not taken (the thing to be) defined [the definiendum] in its definition, or the (thing to be) described [the discribendum] in its description.  So this is of the class of propria that specify an attachment of the condition of experience to its common nature.  When the nature of the genus, insofar as it is the nature of the genus, is fitting, because a sense is attached and because (it) [another one?] is not attached, where one of the two is not necessary for it, and when there is attached to it a condition of the existence of that sense, then it will have been specified.  When the condition of the non-existence of that sense is attached to it, it will have been specified.

                I do not mean by ‘genus’ and ‘species’ here the real genus and species, but rather the specific and the common (ones).  When the definition of the relatum that is the category is this one, then the head is not a relatum in the sense [belonging] to the category, since its existence is not that it is a relatum only.  Rather, this sense has had another existence attached to it. Likewise knowledge is a form and a quality fixed in the soul, but still has inseparable from it some relation, and has a specific existence insofar as it is a form [belonging] to the soul.  Likewise the double is a form in the soul as a number or as a quantum, while a relationship happens to it. [Al-Maqūlāt 158,5-159,11]

 

Theory of Opposites

So let us now make a division according to the mode according to which it is appropriate to understand the technical usage that is in the Categories, where this is not the technical usage in the sciences.  He who has taken it upon himself to combine the two cases has tormented himself. As for the division that is in the Categories, it violates this precept: A [mutual] opposite is (such) that either its quiddity is said in comparison to that to which it is opposite, or it is not.  If its quiddity is said in comparison to something else, then it is an opposition of a relatum, like paternity and filiation.  As for its being a [mutual] opposition, because paternity and filiation and the like no doubt participate in a subject, be it a common (one) like humanity, rather, like substantiality, rather like existence or something else, or a specific one like this man being on the right of Zayd and then coming to be on his left.  As for its being with [mutual] opposition, as something said of the quiddity in comparison, (it is) a case about which there is no doubt.  As for that whose quiddity is not said in comparison to something else, either the subject is suitable for a transfer from the same extreme to the other without conversion, or it is not like that, but rather is suitable for the transfer from each of them to the other, or from neither of them to the other, because one of them is inseparable from it [the subject?].  So the first division is called the [mutual] opposition of privation and possession.  And we mean by possession not like [acts of] seeing in actuality, nor like the first potentiality, which has potentiality according to its having sight, but rather the possession (such) that it is a power for [acts of] seeing, whenever its holder wants it existent.  So the deprivation of the first potentiality is not through blindness, nor is the deprivation of [acts of] seeing in actuality.  Rather, the [acts of] seeing are in actuality, and [are such] that he does not see in actuality but in potency [with] both objects following successively in the subject (in) a succession of motion and rest.  Still, that is a deprivation that we call a possession. So, at that time, it is not possible to see at all.  Rather, blindness does not return the subject with it to [acts of] seeing at another time.   So the ‘non-existence’ that is here is not the ‘non-existence’ that is opposed to any existent sense you like, but rather the one opposed to possession. So ’non-existence’ is said in [different] modes.  And we do not seek to enumerate them all now, but [only] what interests us about this subject.  So (we) say:   [Al-Maqūlāt 245,5-246,3]

 

IV. Concluding Remarks

A parting instance:

This ‘prior’ is like the existence of man in himself, and making the statement of the speaker, that he is existent, true.[1]  So, whenever the statement that he is existent is true, then he is existent, and, whenever he is existent, then the statement of that is true.  Yet men do not avoid saying: he is existent at first, and then the statement of his existence is true, or, so long as he is, after that the statement that he is existent is true—while they do avoid saying that the statement of his existence is true at first, (and) then he is existent, or, so long as it is, he is existent.  [Al-Maqūlāt 268,15-269,3]

 


Bäck’s Bibliography

 

“Avicenna and Averroes: The Islamic Background,” in Individuation in Scholasticism, ed. J. Gracia. SUNY Press, 1994.

“Avicenna’s Ontological Pentagon,” The Journal of Neoplatonic Studies, Vol. VII.2 (1999).

“Avicenna and Descartes on the Wax Example,” Proceedings of the S.I.E.P.M. Conference, ed. S. Brown, Brepols, 1996.

“Avicenna on Relations and the Bradleyan Regress,” in La tradition médiévale des Catégoires, ed. J. Biard & I. Rosier-Catach (Louvain, 2003).

“Avicenna on the Homonymy of Homonymy,” [forthcoming]. 

“Ibn Sina on the Individuation of Perceptible Substance,” Proceedings of the PMR Conference, Vol. 14 (1989).

Translation of Ibn Sn, Al-Maqlt, ed. El-Khodeiri et al. (Cairo, 1959) [forthcoming].



[1] I.e., “when I say “I am, I exist” it is necessarily true every time I utter it or conceive it in my mind.” !