PENTAD - FLUX OF THE SPIRIT This is a preliminary essay by Anthony Blake, written as a starting point for a contribution on the Pentad to his proposed Book of the World. Study of Human Proportions According to Vitruvius by Leonardo da Vinci c. 1485-90 Quintessence The pentad appears in some ancient schemes as the unity or commonality underlying the terms of the tetrad. Thus, the ether was proposed as a fifth element underlying the other four of earth, water, air and fire. Greek and Indian thought were closely aligned in their treatment of the five elements. In India, we find the pancha tattwa – the five elements or principles: 1. 2. 3. 4. 5. Akasa – Ether. Vayu – the Aerial principle. Tejas – the Principle of Light and Heat. Apas – Watery Principle. Prithivi – the Earthy Principle. In this scheme, akasa is seen as the most primordial of the five, that from which the others derive. This top-down kind of explanation is complemented by the bottom-up one in which the fifth is seen as the ‘underlying sameness’ of the others. In adding this fifth element thought is following the principle of seeing the assembly or system of a set of terms as signifying a new term, a principle that played a considerable role in Whitehead’s metaphysics. “Creativity” is the principle of novelty. An actual occasion is a novel entity diverse from any entity in the “many” which it unifies. Thus “creativity” introduces novelty into the content of the many which are the universe disjunctively.” “Together” presupposes the notions “creativity”, “many”, “one”, “identity” and “diversity”. The ultimate metaphysical principle is the advance from disjunction to conjunction, creating a novel entity other than the entities given in disjunction. The novel entity is at once the togetherness of the “many” which it finds, and is also one among the disjunctive “many” which it leaves … The many become one, and are increased by one. In their natures, entities are disjunctively “many” in process of passage into conjunctive unity. If we have N terms, then the system as a whole becomes an N + 1th term and leads into the N + 1th system. The new term is a transitional element that has two faces: on the one it is a unity of the several N terms, while, on the other, it is a term amongst N + 1 terms of the new system. What the description does not give is the way in which the previous N terms change their character. The new term is not just ‘added on’ but leads into a new meaning. This is because, in order to be a system, the terms of the new system must ‘work out’ their mutual relevance, which relevance is substantially altered by the presence of the new term (just as having sex in the presence of another person radically alters the nature of the sexual act). Having a special term that carries with it the unity of the other ones does not originate with the pentad. We have already seen much the same characteristic for the ‘third force’ of the triad and the ‘ideality’ or ‘form’ of the tetrad. Hindu thought exemplifies how we can pass to evermore inclusive views. In particular, it contains a scheme of five states of consciousness. Here is a typical explanation: The first state is the awakened one or the conscious state. The second state is the Dream or sub-conscious state. When we are awake we see everything around us limited by the power of our sense organs, while as we dream, we gravitate between the awakened and the dream states, since we do not dream when we are either in the awakened or in [the third state] The third state is the ‘deep-sleep state’ when the mind passes through a state in which we are not normally aware of anything that happens around us. In order to pass beyond this state one has to have complete control over one’s ‘deep sleep state’ like ‘Gudakesa’. The fourth state is the ‘Turiya’ or the ‘state transcendental’ or the ‘Serene and Blessed state’ that the Mystic Poets and Saints are reported to experience. It is the Natural Law that controls the entry into the ‘Turiya State’. This entry is possible only to one who has completely purified the mind. ‘Turiya is absolutely intuitional’ and can be experienced only in meditation or sequestered contemplation. The fifth state is ‘Turiyatita’. The great Saints and Sages such as Hui-neng, the Sixth Patriarch of C’han, and the Bhagavan Sri Ramana Maharshi remained in ‘Turiyatita’ when they attained a mindless-space (Chidakasa) in Cosmic Consciousness. Here the Self or the one ceases to function since the ‘mind-space’ transforms itself into mindless-space in unmitigated Spirituality, that never manifests itself. In this state, there is no question of return to the oneself, since it becomes one with the source by the Grace of Unmanifested spirituality. This description fails to bring out the inclusive nature of the fifth state. Some other commentators have pointed out that in this state we can have transcendental ‘mindless’ awareness and also waking capacities such as thought. Transflux Equilibrium In reference to the unification of the four elements to make five, we have the special case of Chinese thought in which we find five elements to begin with: Wood, Fire, Earth, Metal, Water. No one has worked out why the Chinese adopted these symbols, but it has been pointed out that the five terms do not represent ‘substances’ but dynamic states of change. Thus, there is a considerable emphasis placed on the ways in which the five terms influence each other. Two main ones are distinguished, called conducive and controlling. The conducive relationships are where the terms enhance each other or lead into each other, and can best be shown as a circle. The controlling relationships can then be represented as connections across the circle, as in this example of the ‘weakening’ cycle. The pentad is the first system in which we can see clearly two different orders of connectivity, the one outer and the other inner. The idea of two types of connectivity in the Chinese scheme shows how the two working together can produce a state of dynamic equilibrium. Enhancement (increase) or controlling (decrease) by themselves leads to unstable or untenable states. Much the same idea is found in modern systems diagrams, but in a simpler form, where there is a mixture of positive and negative linkages. The traditional image of the pentacle shows us that each term is connected to the other four. In this, it follows the systematic principle in which the form of the whole system is replicated in every one of its terms. It also replicates the Renaissance image of Man as ‘the measure of all things’ by Vitruvius (see above). The top point is seen as the ‘head’ of brain of the whole organism and if we were to place the five elements around the circle then the quintessence or the akasa would be placed there. Now, the relationships between the terms - Bennett’s ‘mutual relevances’ of each pair of terms – can be more than the rather quantitative ideas of increase and decrease. Bennett proposed a more subtle kind in his proposition of the complementary flux of spiritualization and realization. We will speak of this in the section on Spirit. For the moment, we remain with the idea of flux. When he first looked at the five term system, Bennett decided that it was best exemplified by a flow of energy through a substance. There is the source and the sink as the ‘outer’ terms. There are also the two interfaces through which energy flows – in and out of the substance – which are ‘inner’ terms. Finally, there is what is happening in the substance itself. Source Interface Centre Interface Sink This simple pattern can have elaborate implications in scientific experiments. In the classical apparatus designed by Berthelot there are the following features (see diagram). Heat (1) is supplied to the flask (2) containing a liquid (3) that evaporates through T (4) and then condenses at G which is immersed in cold water (5). (The tube A refers to a further refinement of the experiment and is not included in our description). We should note that the description involves both elements of things, as in the case of the flask, and also of ‘flows’, as in heat supplied to. The structure of the apparatus as an object corresponds to the structure of the process – converting liquid to vapor at a certain rate – and there are important separations, in particular the insulation of the water coolant from the source of heat above it. Also, the whole apparatus is insulated from the environment to minimize heat loss; it is then possible to calculate how much heat energy is required to produce how much condensate, from which the latent heat of vaporization of the substance can be derived. It should be noted that it is the condensate that provides the key information of the experiment. This simple example shows that there is an essential relationship of heat input, internal process and quantity of condensate. We can anticipate the metaphor Bennett later used of considering the central term as ‘feeding’ on the first and ‘being food’ for the second. Finally, we should also note that the experiment only works when the whole system has reached equilibrium. Another example of transflux, this time involving light rather than heat, is in the way that incident white light is refracted into a spectrum of colours by a prism. The five terms are: (1) source of light, (2) first face of prism at which refraction takes place, (3) the internal transmission inside the glass medium, (4) the second face of the prism at which a second refraction occurs, and (5) the issuing beam of spectral colours. The internal transmission is not trivial since it slows the speed of light, though this is not visible. This example is important not only for its simplicity but because it refers forward to what happens when (a) we collimate the incident beam, and (b) focus the issuing beam. This turns the structure into a heptad and enables the phenomenon to be controlled in experiments. Ken Pledge, a pupil of Bennett, has developed this further to designate an ennead or nine-term system as used in the design of apparatuses. This illustrates the principle of progression that Bennett considered to be integral to the method of systematics and also that it may well be concretely manifested in the realm of design and intentional work. Though the pentad has only five terms, it does encapsulate the essence of the structure of any process, where there is a flux that engages with and supports an identity. In broad terms, the flux is that which runs through the whole system and is continuous, while the identities of the apparatus are discrete and separated. The pentad is perhaps the first system in which this articulation can be made, that is the conjunction of the continuous flow with the discontinuous structure. The question of identity or of ‘being something’ is crucial to understanding of the pentad. If we look at identity as an absolute given in-itself, it is singular, and was given the name of haecceitas in Scholastic times, or ‘thisness’; that which makes something be what it is. If we look at it in terms of cosmoses, we have the essential relationship of three domains. The idea of cosmos is that of any self-organized whole, complete in itself, having its own essence. By drawing a diagram such as the one shown here, it is easy to see how the idea of five terms arises. It is critical that the points identified in the figure are in locations of transition or interface, a concept that embraces both flow and discontinuity. The figure also suggests a secondary feature to do with the conjunction of centre and periphery. The latter relates to the classical distinction between ipseity and alterity, or ‘self’ and ‘other’. The range of the pentad contains the symbiosis of subject and object. The diagram can be transposed into the form that Bennett came to give it. In broad terms, he uses the vertical direction as an indication of ‘higher and lower’ and the horizontal one as an indication of ‘nearer and further’. In this figure, we see a move from the simple linear picture of flux towards a greater emphasis on structure. It is also a move closer to the traditional pentacle form. Spirit Spirit is what is itself. The flux (and reflux) of the spirit is how ‘identity’ is derived and transmitted in reciprocal maintenance. An important background idea is that all spirit is God. The reciprocal maintenance of spirit is the preservation of God known as Vishnu in Hinduism. In Gurdjieff it is the trogoautoegocrat (I eat in order to be). Every spirit has its own hyparxis, or ableness to be; but it is co-dependent on the hyparxis of other spirits. Co-dependence is regarded as a positive in Gurdjieff, in contrast with Buddhism where it is a negative. In the flux and reflux of the spirit (geist) the levels of Being are woven together into a self-renewing fabric. The pentad combines being and becoming One way of thinking about the interweaving of identities is as an interchange of information. Instead of ‘laws’ we can see the objective aspect of will as information. In a modern context, an entity such as an organization is only ‘something’ if it learns. The flux of the spirit is a chain of learning. We are not used to thinking of the manifestation of recognizable wholes as requiring a processing of information. The interiorisation of information is a gaining of identity. The contemporary idea of autopoeisis or ‘selfcreation’ fails to recognize the need to take in the means of ‘informing oneself’ from other autonomous wholes. Gurdjieff’s model of the human food factory includes impressions as the ‘third being food’, where the term ‘impression’ can be related to information. This is to see reality not in terms of objects in interaction but as a dialogue. In a developed and long-term dialogue process between humans, individuals discover a specific role for themselves. This is self-realization through participation, not through isolation, also a major theme of Gurdjieff’s teaching. It is supposed that there are a cosmic set of nodes of identity, which have to be distinguished from the normal schemes of classification that are based on visible appearance and location. Cosmic identity, in contrast with local identity, or existence, is called essence. This means in particular that we humans must belong to an essence class that has a role in regard to the whole cosmos. This is the class referred to by Gurdjieff as that of three-brained beings. The class of three-brained beings is subject to retrogression and progression. Its members can degenerate into the equivalent of animals or evolve into the equivalent of angels. The force for this hazardous state of affairs comes from what is called the germinal essence. This is multifaceted. In nature, it is exemplified by the grains that we eat, or the seeds that played such a critical role in our history as the basis of agriculture. The seeds as the sexual part of plants represent the hazards of sexual reproduction and all kinds of polarity. It is in human nature to feed on conflict, as any dramatist knows. In our social life, the germinal essence manifests as politics. This essence then is more like a kind of experience than an existing entity. As a novelist put it, ‘God does not have to choose but you do’. The germinal essence plays a part in our thinking as the conflict of right and wrong. To be truly human we have to be able to eat conflict and ‘metabolize’ it into meaning. What might appear here as mere metaphor is intended as a literal truth, but only in terms of essence. In terms of existence, myth appears as fiction, but in terms of essence, it appears as truth. In this vision, the human class is depicted as having an essential role in ‘eating’ the forces of conflict and disorder and transforming them into cosmic meaning. The theme of eating is paramount. Here, we emphasize yet again, that Gurdjieff was almost unique in his emphasis on the material basis of our experience and identity. Added to this, he regarded the human essence class as necessarily having a role in feeding something higher. As we eat, so are we eaten. The modern common view of ourselves as the top of the pile is, in this view, a serious delusion. A compromise might be reached by treating the community of selves as in what we grasp as cultures as standing for the higher intelligence that can eat what we produce. In other words, we can consider our personal task as involved in becoming food for the emergent Mind of humanity. We eat food to be able to be eaten. The flux involved is the flow of energy that becomes ever more intelligible or meaningful. The sufferings we undergo in life, occasioned through the germinal essence, are to be transformed into meaning. Such a picture reminds us of the portrait of the artist as in Rilke’s view of the poet. Every essence class serves as a boundary or limit to other essence classes. What is transported across a boundary is a lesson or message. The essence classes keep themselves in tune by adjusting to the signals of other essences. Each is responsible for the authenticity of its own nature. However, any given essence class has a ‘bandwidth’ of possibilities, which is described simplistically as having a lower and a higher nature. In the case of ‘man’ the least he can be is an animal and the most he can be is a demiurge (or higher intelligence). However, it is more important to realize that the task of an essence class is to integrate its higher and lower natures to create something new. Gurdjieff makes much use of a cosmic law he calls harnelmiatznel or ‘higher blending with lower to actualize middle’. This is an important formulation for understanding both the triad and the tetrad as well as the pentad that concerns the structure of spirit, which we are discussing here. It means that every essence class is realizing itself more and more uniquely. This amounts to another kind of ‘creation’, in which everything can attain its own reality. Reality is more than existence but less than essence. Man can never quite become an angel because he has to be embodied. But neither can he quite become an animal, because he can never entirely lose his self- consciousness. Demiurge and animal represent asymptotic limits to what a man can be. His task is to become truly what he is, that is, an individual. Each essence class is three-fold in this way. Man is the lower nature of the demiurge and scriptures suggest that at one time demiurgic intelligence appeared on earth as men. The higher nature of the demiurge is called the Cosmic Individuality. Known to Christians as Christ, He appears in the writings of Teilhard de Chardin in this guise. This Individual is source of Compassion and can take on the suffering of every sentient being. The demiurge or Universal Individuality is too caught up in ideas and hierarchies to be capable of compassion. In Gurdjieff, it is portrayed as totally insensitive to the suffering of individuals and identified with the maintenance of world order; an idea somewhat similar to the rejection of the demiurgic as a ‘false god’ by the Gnostics. Each three-fold essence class has its own relative ‘God’ or deity, as it itself in turn is as ‘God’ to some lower class. Put in other words, the lower can be ‘made use of’ by the essence class as this class can ‘serve’ what is higher to it. Men makes use of the germinal essence (as in agriculture) while the demiurge made use of animals (to make the human vehicle). In a relative sense, every essence class (except the lowest) can ‘act as god’ in its own realm. In our own case, our food is what is expressed in the phrase ‘fruits of the earth’. It is tragic that the affluent at this time tend to treat food with indifference or as an indulgence. Nature has laboured long and hard to produce what we can eat. We put God at the top by default. The essence of this term is the realization of pure individuality, which Bennett identified with Christ, reminding us of the mystery of the sacraments in which we partake of the body and blood of Christ! In this we see once more the image of the pentad in which it is portrayed in a circle, such that it implies, in this context, God = Food. GOD Higher Nature Essence Lower Nature FOOD The structure leads us to consider a whole chain of being in which the work of one level or class feeds into or is made use of in another. Spirit is liberated in ascent and realized in descent along the chain. The whole interlocking dynamic chain exemplifies synergy or co-operation between levels and takes the form of an eleven term system. THE COSMIC HARMONY THE COSMIC INDIVIDUALITY DEMIURGES MEN ANIMALS GERMS PLANTS SOIL CRYSTALS SIMPLES HEAT totality compassion responsibility self-hood sensitivity (sentience) strife growth nutrients minerals water, air, light randomness The Cosmic Harmony is the trogoautoegocrat or ‘ultimate ecological system’. The terminology of the middle section might usefully be updated to correspond more with modern biological classification as suggested by John Allen: Demiurge Man Animal Germ Plant Soil Demiurgia Symbolica Animalia Fungia Vegetalia Microbialia In his account of the essence classes, Bennett points out that man is in a duality concerning his nature, on the one side being an animal, while on the other being of a different order. Man in his ‘true essence’ serves the cosmic individuality and not the demiurge. His deepest connection is to the source of compassion, beyond the creation. In keeping with this belief, Bennett proposed that our salvation was closely connected with love of Nature, in the realization that ‘Nature loves us’, another expression of the cyclic spirit of the pentad in which the highest translates into the lowest. The outer terms can be looked at as the cosmic view, while the more inward terms represent the local view. For us, the local view relates us to the planet. The ipseity remains our own sphere of responsibility. In the flux of the spirit (from above to below) what exists is given reality by being seen. In the reflux of the spirit (from below to above) what does not exist (essence) is given reality by being nourished. The philosophical assertion ‘to exist is to be perceived’ is replaced by ‘to be seen is to be realized’. The possibility of seeing comes form above but its substantiation comes from below. In evolutionary terms we can make a shift from function to experience. Evolutionary theory properly addresses the development of functions, but there is another approach that looks at evolution as a progression of experience. It is salutary and intriguing to realize that our sensual and emotional life must derive from the experiences of billions life forms in the animal kingdom millions of years before humans ever existed on earth. This means that something like the ‘very stuff’ of experience is continuing to be processed on this planet. This ‘stuff’ can be regarded as an energy, but one that has qualities such as intelligence. Bennett’s conception of the essence classes enables us to use the pentad to see anything and everything as playing a role in the through put of energy, a flux along which its qualitative characteristics are being transformed. Gurdjieff called this the iraniranumange. One essence class makes a certain difference to the nature of the energy before it is passed on. It is only able to take in energy when it has reached a certain quality of experience. The pentad is both an open system and a self-renewing one. Portrayed in a line it suggests a through-flux. Portrayed in a circle it portrays what Varela coined the term autopoeisis for. Entity, Significance and Potentiality Bennett first proposed that the pentad be taken to symbolize potentiality. This was partly because the fifth dimension in his framework is that of eternity, the store house of potentials. It was also to express that with the pentad we have a possibility or hope but not whether it is fulfilled or not. Later, he modified his view and came to ascribe the attribute of significance to the five-term system. According to both views, the central point or ipseity is a point of maximum hazard. In an early diagram of the pentad, Bennett depicted it as follows. This form clearly shows the central term as ‘at the crossroads’. It is the in-between of both an outer and an inner tension. It is being pulled in four directions. In a way, this figure shows the pentad rather as the tetrad ‘turned inside out’. Instead of four terms representing sources coming into each other, they are turned into locations or entities that attract a central domain of uncertainty. One important thing it does is to give equal weight to contrary tendencies. The higher terms relate to ‘seeing’ and to ‘creativity’ while the lower ones relate to ‘doing’ and ‘mechanicalness’. Instead of regarding the latter as inferior and to be escaped from, Bennett considered them as of equal significance, not least, as always in regard to his view of systems, because one cannot have the one without the other. The figure is evocative of an entity as an embodied and yet spiritual being. Our sweat and tears serve the purity of spiritual knowledge as this, in its turn, gives meaning to our sufferings. However, there is no need to restrict ourselves to spiritual matters. Bennett insisted that the pentad was the first system where we could reasonably talk of an entity at all. To change language somewhat, every entity should be seen as both for-itself and forother. It cannot exist at all unless it is ‘fed’ by something else. It disappears into the universal flux if it does not cling to itself and has its own world. A living department in an organization has its own world yet exists in a larger world without which it could not do so. An entity is defined both from inside and from outside. Portraying these inner and outer worlds by means of two terms each was a way of expressing the idea that there was a range of experience involved in both. Go beyond a certain degree and it is no longer part of that world. The diagram here was made by combining several pentads of the previous form, adding one for each of the terms in a single pentad. The geometry is somewhat arbitrary but it serves to illustrate the contention that the inner and outer worlds of any entity have their natural limits of relevance. An entity is embedded in a certain location in the whole nexus and can be largely understood in that context. The extreme terms for any pentad serve to transmit or stand for elements which go beyond its scale of experience. The entity sees no further than them. Thus our food stands for all of earth’s bounty while our ‘eater’ or ultimate individuality stands for the whole cosmos. We do not have any experience of what lies behind them. Similarly, we might say, the department of a an organization cannot see beyond the market the organization has. To truly be something is to be for oneself and to be for what is not oneself. The pentad is the minimal structure in which this can be accommodated. A small further explanation is as follows. We take the bare idea as consisting of ‘I’, me and other. We then take any line through these as shown below. It cuts the circles at five points (including the assumed central one). Why make such a line? Because we hold to the view that we must include a sense of flux, which has linear characteristics. Time is an essential ingredient here. We picture a flux of experience coming into and out of the given entity. Thus, as children, we take in the material of our minds from the society in which we live, and come to be able to make a contribution of our own. The pentad then can also be seen as the birth of story making, of myth and explanation. The inner circle is that of ipseity or self while the outer circle is that of alterity or other. In this view, the central term belongs to both. The emergence of the central term of the pentad as of the nature of both ‘in-itself’ and ‘for-itself’, as the uniqueness and reality of uniqueness of the individual, is a bare indication of the question and enigma of concrete reality, in which the ‘that’ or ‘such’ is more than an exemplar of a universal. This was a controversial theme in the history of scholastic philosophy. The standard explanation for a thing was that it exemplified a Form - that which made it intelligible – and was individuated only in so far as it was made of this particular quantity of Matter. However, Duns Scotus in particular argued against this view and it is possible to say that he introduced the third factor of the Will (of God) to explain haecceitas or ‘thisness’. The doctrine of Forms deals with the Intellect of God and not the Will of God. Implicit in this approach is the awesome suggestion that the will of God is in everything and every entity there is or can be represents God, here understood in particular as the uniqueness that is the supreme characteristic of the will. The Dramatic Hand Another famous town planning concept, the Finger Plan for Copenhagen, was based on a metaphor and shown by a diagram, of a great hand resting over that city (Figure 7.5). Since 1947, that great hand has guided Copenhagen's development. The merchant's harbour, after which the city was named, sits in the palm of a guiding hand. Fingers point ways to new development. Power lines, telecom lines, and rapid transit lines follow the bones, arteries, veins and nerves of the fingers. Between those fingers we find the green land of Denmark. Copenhagen was made into a garden city but the hand itself, of urban development, was grey. These days, we tend to neglect the concrete experience of structure in our own bodies, unless they are turned into literary metaphors. An interesting avenue to explore is that of the hand. The hand signifies that by which we act on the world and has immense significance as in the evolution of human kind), but also as the characteristic way in which we exercise our will. The hand articulates its intelligence and power through the five fingers, each of which has a physical and even cultural role. When I ‘point the finger’ I use my index digit, which has the character of command. When I grasp something, I have to use the strength of my thumb. The middle finger is used to make a rude gesture. The fourth is the ring finger and may signify a sense of union, while the little finger is used in a gesture of politeness. Can the fingers of the hand count as a symbol of the significance of the pentad? The fingers, of course, were used in ancient times in a system of counting and calculation and it was considered essential to be both deft and swift in this practice. The pentad links with the hand indirectly as being associated with ‘reasons why’ or purpose. This obviously links with the commonly known questions of Why, What, How, Who, When and Where, when we take the latter two as combined into one. This is then how they appear in Kenneth Burke’s dramatism. 1. Act: What happened? What is the action? What is going on? What action; what thoughts? 2. Scene: Where is the act happening? What is the background situation? 3. Agent: Who is involved in the action? What are their roles? 4. Agency: How do the agents act? By what means do they act? 5. Purpose: Why do the agents act? What do they want? Put into an order closer to that of our discussions, we read this list of five reasons as follows, through which we can see a movement from the scene to purpose, through the realm of agents. In the same light we could look at the natural order and life as agents seeking a destiny. In these terms, Burke’s pentad can be read as sympathetic to Bennett’s idea of the dramatic universe. PURPOSE AGENCY AGENT ACT SCENE What is curious about exemplifications we can find of five-term systems is that very rarely are they afforded any structural insight and investigation. The five are largely treated as a bunch, reminiscent of the expression ‘a bunch of fives’ for a fist. It is as if the hand is closed for the most part. It is more than interesting to unclench our hand and reach with our fingers into understanding.
© Copyright 2026 Paperzz