The numerous works transmitted under the name of Alexander of Aphrodisias (fl. 200 ce) show a rich vocabulary denoting concepts, thoughts, and universals,Footnote 1 and an equally rich collection of verbs denoting the human activities of abstracting or constructing concepts, whether they be simple (individual, genus, species) or complex (definitions, propositions). Within the confines of this chapter, I would like to focus on a number of interesting occurrences of the terms ennoia and noēma in Alexander’s texts. I shall deal with Alexander’s interrelated views of concept formation as the development of potential intellect, divine intellect in us as noēma, ennoiai as concepts under construction, and human intellect as a unity of concepts.
Alexander not only draws on Aristotle’s works and the Aristotelian tradition, but also on centuries of polemics against Aristotle by the Stoics and Platonists, which have led to new ways of engaging with Aristotle’s legacy. Often terms of Stoic or Platonist origin have become part of the common parlance in the philosophical debates of the first centuries of our era. One example that we shall come across below is the use of ‘common notions’ as starting points of valid arguments, which Alexander believes is in perfect agreement with Aristotelian dialectic. When Alexander elaborates on the extent of the human capacity to acquire some universal concepts by nature, and others by teaching and study, he always intends to confirm the Aristotelian rejection of innate knowledge.
1 Concept Formation as the Development of Potential Intellect
The diversity of concepts in Alexander is closely tied to the stages of the process of concept formation, and the degrees in which people differ as far as the actualisation of their common natural capacity for reason is concerned. Hence we need to look for concepts in Alexander’s discussion of the development of the human intellect.
Aristotle’s distinction between different types of potentiality and actuality in De anima 2.5 constitutes Alexander’s frame of reference.Footnote 2 Aristotle distinguished between the potentiality to gain knowledge, which all human beings have in common (let us call this first potentiality);Footnote 3 it is actualised each time a piece of knowledge is acquired (first actuality). This disposition that is the possession of knowledge comprises at the same time a new, second, potentiality to access this knowledge at will and apply it in new episodes of thought (which will each be instances of second actuality). One of Aristotle’s examples is the acquisition of knowledge of grammar (first actuality), which is applied by the grammarian each time he is contemplating a particular letter alpha (second actuality).Footnote 4
The difference between the two processes of actualisation is that the first is a real alteration that consists of ‘repeated transitions from one state to its opposite under instruction’ (417a31–32). The previous state of potentiality, viz. lack of knowledge, is replaced by the corresponding actuality, viz. the possession of knowledge. The second process of actualisation is not an ordinary alteration, but rather ‘a preservation of what is potentially such by the actuality’, and ‘a development towards itself and actuality’.Footnote 5 No matter how often we use the knowledge we possess, the second potentiality for applying knowledge remains unaffected. A person who is a knower in this second sense of potentiality is able to think whenever she wishes.Footnote 6
This framework found full application in Alexander’s discussion of the development of intellect in De anima 80.20–91.6.Footnote 7 In Alexander’s vocabulary, the development of intellect (nous) starts from the innate natural or material intellect, which is the typically human capacity (epitēdeiotēs) for knowledge.Footnote 8 All human beings are born with this capacity, but people are more or less well endowed for developing it successfully.Footnote 9 Alexander first explains that intellectual dispositions and activities, though based on this natural capacity, do not develop naturally (unlike for instance the innate capacity for walking which does develop naturally in everyone). Hence, he claims that intellectual dispositions and activities are not found in everyone but only in trained and educated people, as the distribution of scientific knowledge shows. He even goes as far as to claim that only the noble, well-educated, and virtuous person (spoudaios) has intellect (nous).Footnote 10 I take this emphasis on capacity, and on the relatively rare actualisation of that capacity, as part of Alexander’s anti-Platonic stance. The intellectual disposition that is knowledge is not only acquired, and hence not an innate disposition, but also acquired by training and education which is successful only in a limited number of people, rendering the disposition even rarer. But does this really mean that the majority of the population does not develop intellect and has no proper concepts at all, or is Alexander here raising the bar for intellectual success too high?
Our worry increases when Alexander tells us that the rational capacity of the soul is twofold. On the one hand it has the capacity to deal with practical items that come to be and can be otherwise; they are objects of reason’s powers of opinion and deliberation; from it the so-called opinative and deliberative, intellect (doxastikos kai bouleutikos nous) develops, which will become the principle of action when wish and desire accompany its objects. On the other hand the rational soul has the capacity to deal with eternal and necessary items that always remain the same, which are objects of reason’s power of understanding (epistēmē) and contemplation (theōria), and will give rise to the so-called theoretical and scientific intellect (theōrētikos kai epistēmonikos nous).Footnote 11 The practical intellect will develop first because the activities concerning its objects are more familiar to us.Footnote 12 At a later stage, as the result of teaching and training, the true form and actuality of the material intellect comes to be – which is then called the intellect-in-disposition (kata hexin nous).Footnote 13 Consequently, if the common run of men do not achieve the full state of nous they will have neither practical nor theoretical knowledge, but even if they acquire some knowledge, they may acquire only practical and not theoretical knowledge.
Fortunately, Alexander immediately corrects himself on this score: rather, all unimpaired human beings have a share of intellect, albeit up to a certain level. For, contrary to what we were led to expect, it is by nature that they proceed to comprehension of the universal (tou katholou perilēpsis) and cognition by synthesis (kata sunthesin gnōsis) of at least some things. This disposition Alexander calls the common intellect,Footnote 14 that is, the disposition of intellect that all people have in common. Apparently, a state that deserves the name of intellect is marked by the grasp of a universal which is the result of an act of synthesis that constitutes this intellect.
We get further reassurance, and more information on the formation of universal concepts, when Alexander proceeds to tell us that the daily teaching needed to acquire the disposition consists in ordinary sense perception,Footnote 15 which, we may surmise, is accessible to all. According to the well-known Aristotelian sequence, perception tends to give rise to imagination and memory until, through experience, the transition (metabasis) from ‘this particular’ to ‘such-and-such a universal’ takes place.Footnote 16 This comprehension and grasp of the universal is based on the likeness between particulars, and is therefore the synthesis of like things (tōn homoiōn sunthesis). Alexander emphatically calls this comprehension and synthesis ‘intellection’ (noēsis), and ‘the proper task of intellect’ (ergon ēdē nou).Footnote 17
Here we find the most striking characteristic of Alexander’s theory: the formation of a concept is the first actuality of human potential intellect. Alexander further explains that the comprehension of perceptible forms is in a way the same as their separation, by intellect, from each and every material condition in which they may exist.Footnote 18 For, since individual human beings differ from each other by material conditions, the form without these material conditions is the common, or universal, human being. She who graps what is common in particulars will by that very activity grasp the form without matter and constitute dispositional intellect.Footnote 19
One might wonder why Alexander first suggests that dispositional intellect can only be acquired by the happy philosophical few and then becomes more liberal in allowing intellect to all because of day-to-day sense perception. The explanation lies in the gradual differentiation of intellectual states: strictly speaking nous in its most comprehensive sense demands all of common, opinative and deliberative, theoretical and scientific nous. This makes it less likely that large numbers of people will reach the full disposition of nous. At the same time, everyone’s gradual progression through the different kinds of nous opens up the possibility of some degree of intellectual actualisation for all human beings, which does justice to their natural capacity and confirms the general applicability of Aristotelian psychological theory.
2 Divine Intellect in Us as noēma
There is a strong polemical purpose to Alexander’s discussion of intellect. Against Platonist opponents, Alexander establishes the Aristotelian stance that no knowledge of any kind is innate, and that the acquisition of all knowledge depends on a natural capacity that is the same for all people. Against Stoic opponents, Alexander provides an Aristotelian psychological alternative for both the perfection of the Stoic sage, and the progres of prospective sages. In addition, he rejects all dependence of human reason on divine reason working in us as the leading part of our soul.Footnote 20 That is why Alexander claims, in a striking passage to which we shall turn next, that the first principle is in us merely as a temporary object of our thinking.
Alexander explains that the first cause or divine intellect is unlike immanent forms that need abstraction in order to be intelligised as such. The separate divine intellect is always thinking in actuality and identical with its own thought, independently of our thinking. So when we think about this highest principle it enters our intellect without needing to be abstracted by us, as the imperishable intellect it already is. By contrast, enmattered forms merely become objects of thought, and thereby intellect, as long as they are objects of our knowledge and thinking.
Alexander derives the identity of objects of thought and intellect from Aristotle’s discussion of the question, raised in De anima 3.4, whether nous is itself intelligible (noēton).Footnote 21 This is true for Aristotle because in the case of things without matter (i.e., intellect and immaterial forms) ‘that which thinks and that which is thought are the same, for theoretical knowledge and what is known in this way are the same.’Footnote 22 In this sense Aristotle is ready to call intellect the ‘form of forms’ (432a2). Enmattered things are only potentially objects of thought and therefore not intellects.Footnote 23
On the basis of these texts Alexander feels free to emphasise that forms of perceptibles become intellects – but only when they are thought, because they need the act of intellection in order to be separated from their matter.Footnote 24 By contrast, the first cause which is the divine active intellect does not need us to be thought: it is always thinking itself already.Footnote 25 What is more, dispositional intellect can think on its own, and handle intelligible forms, and can therefore also think itself, be it only accidentally because it is primarily concerned with the forms it thinks.Footnote 26
Alexander uses this doctrine to address three different interpretations of the divine intellect in us:
[T1] So such is the imperishable intellect in us that is being thought – because there is an intellect in us that is separable and imperishable, which Aristotle also says is ‘from outside’, an external intellect that comes to be in usFootnote 27 – but it is not the power of the soul in us, nor a disposition in virtue of which the potential intellect thinks other things as well as it. Nor is the concept as a concept imperishable by being thought then [i.e., at the time we are thinking it]. Hence, those who are interested in having something divine in themselves should make provisions for being able to understand something of this sort, too.
Alexander here clearly addresses three ways in which the divine intellect may be thought to be present in us: (1) as ‘intellect from outside’; (2) as constituting the power of the soul; and (3) as the disposition in virtue of which we do all our thinking, including our thinking of the divine intellect. The first (1) represents Alexander’s reading of Aristotle’s ‘intellect from outside’ (nous thurathen) in Gen. an. 2.3:Footnote 29 according to Alexander this phrase may be used to refer to the divine intellect, but it is not a part or power of our soul from our inception, but enters us merely every time we think about it. The same formulation is found in Mantissa 2 (also known as De intellectu) that discusses different interpretations of the productive intellect of De an. 3.5, which Alexander also identified with the divine intellect.Footnote 30 The author of Mantissa 2 claims, if it were part of us from our inception this would amount to the Stoic absurdity that the highest principle would be present in the basest things, and it would exercise providence everywhere.Footnote 31 Hence Alexander’s claim that divine intellect is in us merely temporarily as a noēma has a clear polemical aim.
We may surmise that the second and third options not only rule out an identification of divine intellect with Alexander’s potential and dispositional intellect respectively. The second option (2) may also be taken to refer to the presence of the Stoic divine logos in us constituting all of our rational capacities, whereas option (3) rejects not only innate knowledge, but also an alternative construal of the active intellect of De anima 3.5 that is also discussed, and rejected, in Mantissa 2. The rejected view is that divine intellect seizes our potential intellect as an instrument, and thereby controls our thinking. This is undesirable for many reasons, including the fact that thinking would no longer be up to us, which would jeopardise our freedom of judgement.Footnote 32
These complicated discussions need not further detain us here, as long as we realise that Alexander is taking a stand in this debate when he allows the presence of the divine intellect in us as noēma as the only, harmless, way the divine intellect is in us. Alexander adds that, in general, an object of thought does not become imperishable by being thought at a particular time;Footnote 33 so the fact that the divine intellect becomes a noēma of ours does not render it imperishable – it already is so itself, in the same way that it is already intellect and its own object of thought regardless of our thinking it.
The conclusion of passage T1 strongly confirms Alexander’s developmental view: the only way we can get the divine in us is by developing our own potential intellect in such a way that we become capable of thinking it! The polemical significance of this passage is further indication that, in general, Alexander’s treatment of concepts will have to be read against the background of contemporary philosophical debates.
3 Ennoia and noēma as Concepts under Construction
In a crucial passage in De anima Alexander carefully links two keywords in his vocabulary of concepts, ennoia en noēma, to one of the stages of intellectual development:
T2 [1] This particular kind of disposition [i.e., the disposition and perfection of the material intellect] initially comes to be in the [material] intellect in virtue of a transition from the continuous activity involving perceptibles, when [the intellect] acquires from them a kind of theoretical vision, as it were, of the universal (katholou). [2] This [universal] is at first called an object of thought (noēma) and a concept (ennoia), but as it increases and becomes complex and diversified, so that it becomes able to produce this apart from its perceptual basis, it is eventually called intellect (nous). [3] For whenever through continuous activities it becomes dispositional in such a way that it is able to engage in the remaining activity on its own, at that stage the understanding comes into being which is described as a disposition [4] and is analogous to the knower intermediate between the person who is said to be a knower in virtue of a capacity and the person who is active with respect to knowledge: he surpasses the person who knows potentially to the same extent that he is inferior to the person who is active with respect to knowledge. [5] When this disposition is active, it becomes the intellect in activity (ho kat´energeian nous). For the dispositional understanding is in a certain way the concepts (noēmata) that have been stored and accumulated and are at rest.
This text raises a number of interesting issues concerning the status and role of concepts. In section [1] the relation between the disposition of intellect and the grasp of universals is stated once more. The difference between the prior and posterior states of intellect, it is now revealed, rests on their (lack of) independence from continuous activity concerning sensibles. In [2] this universal is ‘initially’ said to be called noēma and ennoia, but both grammatically and ontologically transforms into nous once it can ‘produce this’, that is, acquire a theoretical grasp of the universal, without further recourse to perception.
Alexander also indicates how the initial universal becomes independent from sense perception, and he does so by a rather unusual series of terms: it ‘increases and becomes complex and diversified’ (πλεονάσαν δὲ καὶ ποικίλον καὶ πολύτροπον γινόμενον).Footnote 35 Presumably the continuous influx of perceptions continues to enrich the first universal to such extent that it reaches a threshold beyond which it can activate itself, without being dependent on sense perception; at that moment it comes to be nous. This independence recalls the state of the knower in Aristotle, who is capable of ‘being actual through himself’,Footnote 36 to which section [4] alludes when it locates disposition in the middle between capacity and full actualisation. The use or application of knowledge is the further actuality for which the dispositional intellect (not the material intellect) holds the potentiality. This second actuality is indicated in section [5], as the next stage of the development of the material intellect: intellect-in-actuality (kat’energeian nous).
In this passage T2 Alexander’s wording is again strongly reminiscent of Aristotle, now of a famous text in which Aristotle discusses the development of a universal concept in the soul, and at the same time levels criticism against Platonic innate knowledge, Posterior Analytics 2.19:Footnote 37
T3 So from perception there comes memory, as we call it, and from memory (when it occurs often in connection with the same thing), experience; for memories that are many in number form a single experience. And from experience, or from the whole universal that has come to rest in the soul (the one apart from the many, whatever is one and the same in all those things), there comes a principle of skill (technē) and of knowledge (epistēmē).
Thus the states neither belong in us in a determinate form, nor come about from other states that are more cognitive; but they come about from perception – as in a battle when a rout occurs, if one man makes a stand another does and then another, until the original line-upFootnote 38 is reached. And the soul is such as to be capable of undergoing this. (100a3–14)
Like Alexander, Aristotle here stresses how the repetitive input of perceptions yields memory and experience from which the universal ‘one over many’ comes to be in the soul. This universal is what is the same in the many particulars. Aristotle thus firmly replaces Plato’s ‘one over many’ Forms with properties common to sensible particulars.Footnote 39 As the text continues, Aristotle covers the same ground again in different terms, and speaks of a ‘first universal in the soul’ (100a16). In the same way, when for instance a concept of human being has arisen, further perceptual encounters with human beings and other animals will cause the grasp of the higher universal ‘animal’ (100b1–5).Footnote 40 Just as in Alexander, these ‘first’ universals come to be by continuous input from the senses. Although Aristotle does not explicitly link this discussion to the state of first actuality we saw in De anima 2.5, Alexander has every right to do so. What is more, we can regard Alexander’s exposition as an attempt to clarify the natural process that Aristotle merely hints at by saying ‘the soul is such as to be capable of undergoing this’ (100a13–14). Finally, Aristotle calls the universal ‘a principle of craft and knowledge’ (100a8) and ends Posterior Analytics 2.19 by identifying the principle of knowledge as nous (100b15). In this Aristotelian chapter, then, we find all the materials that Alexander worked into a unified account in his own De anima.Footnote 41
Unlike Aristotle, though, in De anima Alexander does not emphasise the role of memory or experience as intermediate stages.Footnote 42 For him acquiring a universal concept is a process of actualisation of the potential intellect which ultimately receives it as its form and culmination (teleiōsis).Footnote 43 Hence, I presume, Alexander has no choice but to locate the process of enrichment of the universal in the potential intellect, not (with Aristotle) in the soul at large.
In T2 from Alexander’s De anima we have seen a striking transformation by which a rich and complete concept turns intellect, and thereby constitutes the disposition and completion of the material intellect. But what does this mean for the ‘early’ underdeveloped stages that are called noēma or ennoia, but not yet nous? Are they real concepts, or are they merely insufficiently independent from sense perception to qualify as intellect?
A survey of occurrences of ennoia in Alexander suggests that, indeed, ennoia is used in contexts that stress both the close connection of ennoia with sense perception, and the potential to be developed into more reliable knowledge. The first set of texts concerns the phrase ‘common notions’ (koinai ennoiai) in Alexander. Within the confines of this chapter, I only wish to point out that the important role of ‘common ennoiai’ in Alexander confirms and reinforces the connection of ennoia in general with the common intellect.Footnote 44
In his De mixtione, Alexander does not get tired of scolding the Stoics, who are his opponents in that treatise, for blatantly ignoring ‘the notions of all people’,Footnote 45 also called ‘natural notions’ or ‘common notions’.Footnote 46 He is referring to the Stoic theory of complete fusion (krasis) which implies that one body can go through another body, and that two bodies can be in the same place. All people clearly hold the opposite of both of these claims. What is more, Alexander believes we have received such common notions from nature as the principles of knowledge.Footnote 47 These common notions partly constitute the prior knowledge from which teaching and learning proceed.Footnote 48 Aristotle often starts his investigations from such common notions. As Alexander puts it: ‘It is Aristotle’s practice, in every inquiry, to use the common and natural ennoiai of mankind as starting-points for what he himself is proving.’Footnote 49 Here Aristotle’s endoxa as principles of dialectic are subsumed under the heading of common notions as preliminary concepts. Such formulations clearly suggest that at least in some contexts the concepts held by all the people, that is, the concepts that constitute the common intellect, are to be taken seriously only at the beginning of an inquiry, when first establishing a theory. For polemical reasons, it remains important for Alexander that the common notions are not natural in the sense of Platonic innate knowledge, but a common state of intellect naturally acquired from sense perception during life and weaker than fully developed dispositional intellect that constitutes knowledge. In this light we have to read the statement in the Ethical Questions that people who act wrongly but are not completely corrupted still know what is right and wrong because they still preserve these common notions, for which nature is responsible.Footnote 50 This also implies that such people still know that they are acting wrongly, and that they can improve themselves, even though they have never proceeded to having full-fledged concepts of right and wrong that have become part of their practical nous.
A further set of occurrences of ennoia in Alexander also speak of a concept that has been derived from sense perception, and represents a first, or preliminary stage of knowledge:Footnote 51
T4 Indeed, as Plato says, it is through this sense [i.e., sight] that ‘we procured philosophy’ (Tim. 47B). For when we fix our gaze on the heavens and contemplate their order and ineffable beauty, we arrive at the ennoia of the one who fashioned them (the Demiurge).
It is clear that the apprehensions by means of <sight and hearing> and differentiations in the things which they apprehend <are> origins of both action and inquiry. Clearly the differentiations in visibles led us to an ennoia of light and darkness, i.e. of day and night, beginning from which we investigated the things able to cause them …
Indeed, the entire passage in Sens. 11.1–12.5 specifies numerous cases of perception that have led to new concepts or the awareness (epinoia) of new things. The passage also consistently differentiates between contributions to practical and/or theoretical insight, respectively, and thus echoes the twofold human capacity of reason we saw earlier. It seems to be no accident, then, that ennoia is one of the names Alexander reserves for a first concept that is still close to the sense perceptions from which it has come to be, and still open to further development, in order to reach a more precise definition, or a causal explanation.
4 Intellect as Unity of Concepts
The term noēma in conjunction with ennoia (as in our text above) turns out to be rare.Footnote 52 Noēma mostly refers to a thought which is the object of an act of thinking or knowledge, and is usually conceived of as present in the soul without specific reference to an as yet imperfect concept.
In this respect the last sentence of section [5] of our passage T2 provides us with an interesting clue about noēmata as concepts that is worth quoting again:
T5 When this disposition is active, it becomes the intellect-in-activity. For the dispositional intellect is in a certain way the concepts (noēmata) that have been stored and accumulated and are at rest.
This sentence further explores the fact that a properly developed concept reaches independence as nous. Through the process of concept formation numerous concepts will turn intellect. Does this mean that our material intellect gets actualised into numerous dispositional intellects? Alexander allows that in one sense the completed soul that has acquired dispositional intellect ‘is everything’ because through the combination of sense perception and intellection together the soul can assimilate itself to all forms successively.Footnote 54 Here he affirms that the concepts that come to rest and are in a way stored in intellect, together constitute a single dispositional intellect, which is the (single) form of the material intellect.Footnote 55 So in order to constitute intellect, the concepts not only need to have become independent from sense perception, but Alexander also believes them to have become a unified whole, a single intellectual disposition. Knowledge (epistēmē) is not only the possession of a single universal concept, but also the body of knowledge as a whole. For this reason, too, all concepts together make up the single dispositional intellect as a single ‘form of forms’.Footnote 56
One might wonder where the reference to storage (apokeimena) of concepts in intellect leaves the role of memory. It is striking that in Alexander’s writings memory barely plays a role and mostly occurs in passages commenting on Aristotelian texts; memory is mentioned only three times in Alexander’s De anima.Footnote 57 Judging from the Topics commentary Alexander has perhaps taken to heart the anti-Platonic lesson of Aristotle’s Topics 2.4, 111b24–31: knowing is not having remembered, and learning is not remembering, because remembering concerns only the past, whereas knowledge covers past, present and future. After all, the astronomer can predict a future eclipse.Footnote 58 Moreover, knowledge and memory cannot be the same thing, because knowledge is a disposition, whereas memory (mnēmē) is merely the activity of recalling.Footnote 59 Also in our text, memory represents a stage of development before craft and knowledge and is superseded by the disposition of knowledge as the actualisation, or form, of potential intellect.
In this context it seems relevant that Galen reports about Chrysippus that the latter considered reason (logos) as ‘the collection of certain concepts and conceptions’ (ennoiōn tinōn kai prolēpseōn athroisma).Footnote 60 Sextus has preserved Chrysippus’ definition of craft as ‘a system and collection of conceptions’ (sustēma kai athroisma katalēpseōn).Footnote 61 I guess that Alexander was keen to seize the opportunity for pointing out that by Aristotelian standards knowledge, which is dispositional intellect, is by definition a unified storehouse of concepts.
5 Concluding Remarks
In this paper I have explored four interrelated issues that led Alexander of Aphrodisias to discuss concepts. In his hands the familiar Aristotelian process of concept formation becomes the development of human potential intellect towards its form and culmination. If we develop our potential well, even forms such as the divine productive intellect can come to be a noēma in our thinking – that is indeed the only way in which the divine intellect is related to our thinking according to Alexander. More mundane enmattered forms need to be abstracted from sensible objects by a long process that starts with an initial universal concept that gets enriched by continuous sense perception until it turns into intellect. This intellect-in-disposition can from that moment onwards employ the concept with which it is identical, without having recourse to sense perception. Alexander’s favourite term for such concepts under construction seems to have been ennoia, as I have illustrated from his regular use of this term for concepts in their capacity of being derived from sense perception, as well as serving as starting points for further investigation and explanation, koinai ennoiai included. For Alexander the intellect-in-disposition consists of all completed universal concepts unified in a single whole. It can thus literally be understood as the ‘form of forms’ (Arist. De an. 432a2), that is, the form and culmination of the human potential intellect consisting of many completed concepts. The intellect-in-disposition can wield its concepts whenever it wishes, and will thus each time bring its second potentiality to the final stage of intellect-in-actuality.
We have also seen that, while exploring these creative avenues in the interpretation of Aristotle’s texts, Alexander is continuously criticising and rejecting rival views, be they Peripatetic, Platonist, or Stoic. In this way he remained concerned to show that Aristotelian philosophy as he understood it was capable of solving the philosophical issues of his time.