Friday, March 22, 2019

Melting the Ego: Cosmic Non-Dualism and Climate Change

In the summer of 2018 something weird happened to me: I had an experience of melting, of becoming fluid, as if the icy bulwarks of my ego melted and dissolved into something like a warm, sticky liquid that flowed into everything and everyone around me. Ok, it sounds a bit gross when I put it like that, but really it was a very uplifting experience: I sort of fused with the world, became ‘one with the universe’ in a feeling of all-encompassing love. In other words: I felt the truth of Non-Dualism, the spiritual philosophy that says we are all manifestations of the same cosmic force, the one creative essence of the universe. Non-Dualism, however, is not just a question of feeling. It is also a question of clear-headed, rational thought. For the factual truth of some form of Non-Dualism is strongly suggested by what contemporary physicists and philosophers tell us about the holistic unity of the universe and the place of consciousness in it. 

Over and above that, Non-Dualism also satisfies an urgent ethical and spiritual need that is felt worldwide. In that sense, Non-Dualism is a philosophy whose time has now definitely come. This becomes especially clear in light of the many global problems facing humanity, notably that of climate change. In this post I will argue
that it is only by recognizing the truth of non-duality – i.e. by recognizing our fundamental unity with each other, with our planet, and with the cosmos at large – that we will be able to muster the global solidarity needed to deal with these global problems. And perhaps, just perhaps, this is the upside of climate change: that global warming will cause a ‘global melting of the ego’ and thus a global embrace of Non-Dualist modes of thinking and experiencing. In this way, perhaps, climate change will bring about its own solution…

My Long Hot Summer of Love
If you are expecting some raunchy story about erotic conquests on the beach, I have to disappoint you. Partly because I have no such stories to tell (I am a happily married father of a seven-year-old son). But also because I would like to tell you a different kind of story, one of spiritual awakening, or – as I put it above – the melting of my ego. Mind you, the summer of 2018 was exceedingly long and hot. In fact, it was one of the longest and hottest summers ever recorded in the Netherlands (and much of Europe besides), which is where I live. It was simply another bead on the string of meteorological records – heat waves, droughts, tropical storms, arctic ice melting, and so on – that have become so familiar the last couple of years, testifying to the worrisome reality of climate change. The long hot summer of 2018 meant there was a perfectly rational explanation behind my somewhat mystical experience: all those months of sunny weather just made me super relaxed, up to a state of ultimate ‘hippie-ness’ so to speak. Of course, I am very concerned about the potentially catastrophic threat of climate change, not least because of our son whose future is at stake. But the truth is that I also thoroughly enjoyed this amazing summer. I feel kind of guilty saying this, but it’s true.

We live close to the beach, so that’s where we would spend most of our free days: swimming, building sand castles, giving the old frisbee a throw, relaxing under the parasol, reading books on non-duality, meditating, eating ice creams… In short: living the good life! In the afternoon, we would cycle home languidly, take a shower to wash off the salt and sand on our sunburnt skins, and start up the barbecue for another easy diner in our garden. In the evening – my stomach filled with veggie burger, fries, salad and light beer – I would just sit there and look in wonder at the spotless blue vault over my head, with a hint of orange in the west, and watch the acrobatics of the swallows weaving their warp and woof in the warm evening air. And I would think to myself: “Actually, life isn’t that bad!” (Duh!)

That’s when it would happen, during those days on the beach and evenings in our garden, this ‘melting of the ego’ experience, of becoming fluid and fusing with my environment. I would have glimpses of cosmic unity, of everything being one. I would look at the people around me and have the strange sensation that somehow ‘they are me’ or ‘I am them’. Whatever it was that looked out of my eyes at the world, it also looked out of their eyes. Whatever it was in me that enjoyed the heat of the sun, the coolness of the water, the taste of ice cream, it had the same enjoyment in the people around me. It felt as if the universe was enjoying itself on the beach, tasting itself, feeling itself, playing with itself, throwing frisbee at itself, basking in the light of its own sun, swimming in its own water... And this feeling of all-embracing love would rush up inside of me, engulfing me, engulfing everything around me.

Waking up from the dream of separation
Now, these thoughts – of everything being one – were certainly not new to me. Having a background in philosophy, I am particularly interested in the philosophical tradition of Absolute Idealism, which stretches roughly from the Upanishads in the East and Neoplatonism in the West to the German and Anglo-American Idealisms of figures such as Schelling, Hegel, Bradley, and Royce. Absolute Idealism can be summarized as the claim that everything exists because it is thought and/or experienced by an Absolute Self, which in turn exists because It thinks/experiences itself. Up till the summer of 2018, however, my interest in these ideas was purely intellectual and theoretical. The idea that the universe is one consciousness simply seemed (and still seems) plausible to me in the light of
what physicists and philosophers tell us about the holistic unity of the universe and the place of consciousness in it (the so-called “hard problem of consciousness”). But now, quite suddenly and unexpectedly, it became an experiential reality for me as well. I started to feel its truth.

No doubt, this was in large measure due to the fact that I had taken up meditation, stimulated by my wife who was following a course in mindfulness. I am convinced, however, that the exceptionally long hot summer also played a crucial role here: in making me super relaxed, in almost literally ‘melting my ego’, it made me feel – rather than just intellectually understand – the truth of cosmic unity.
The thing that finally did it for me, that made the penny drop, was reading Christopher Wallis’ wonderful book Tantra Illuminated on the philosophy of Kashmir Shaivism (which is not the thoroughly commercialized pseudo-spiritual sex therapy which is sold as Tantra in the West, though it certainly is true that sexuality plays a significant role in Tantrism). Reading this book on the beach, I came across the following passage:

“Thus all sentient beings […] are simply different forms of one divine Consciousness, which looks out at the universe that is its own body through uncountable pairs of eyes… This perspective brings a sense of meaning and presence to even the simplest acts. When you sit and contemplate a pebble, what is really happening is that the universe is contemplating itself in that form… When you see yourself clearly, there comes a flash of recognition: you are a microcosmic expression of precisely the same divine powers that create, maintain, and dissolve this whole universe. [T]here is a profound shift. Your fear and pettiness drop away as you harmoniously fall into the dance of life energy… An explosion of joy accompanies the realization that there is nothing to do, nothing to achieve, other than to fully embrace the divine powers that seek to manifest through you by expressing the entirety of your authentic being in the fullness of each moment, in an endless flow of such moments.” (Wallis 2013: 56, 62, 67)

When I read this, I literally felt the “flash of recognition” of which Wallis speaks. Bang! There it was: cosmic unity, cosmic love… Clearly, the Tantric philosophy of Kashmir Shaivism with its belief in “one divine Consciousness, which looks out at the universe that is its own body through uncountable pairs of eyes” is one particular instance of the broader tradition of Absolute Idealism. However, in the context of Eastern philosophy, this way of thinking (and experiencing) is usually called “Non-Dualism”. One could say that the Absolute Idealisms of philosophers like Plotinus, Schelling, Hegel, Royce and Bradley is simply the Western variety of Non-Dualism. This is not to say there are no significant differences between them.
Whereas the Western approaches to non-duality are mostly theoretical, more focused on the epistemological, ontological, and theological aspects of non-duality, the Eastern approaches – though certainly not devoid of theory – focus more on the experience of non-duality as an existentially transformative experience, as the key to Enlightenment and the ultimate Liberation of Suffering.

That is, in Eastern philosophy the non-dual experience is usually seen to bring to an end the suffering inherent in being a (seemingly) separate individual, standing over against an independent world, in which the individual must struggle to maintain him-/herself. As the illusion of the separate ego falls away, 
its petty worries and ambitions, its bickering likes and dislikes, its fears and unfulfilled desires, all these obstacles to peace of mind fall away as well. And what remains is just peace of mind, a tranquil bliss, and a deep feeling of loving unity with everything and everyone. This enlightening aspect of non-duality is often illustrated by the comparison of the human mind with a lake that mirrors the sky above it. Normally, the water on the lake is rippled, as the ever-variable winds of our thoughts and emotions create smaller or greater waves, causing a distorted reflection of the sky in the water. But with the experience of non-duality, the waves on the lake calm down, as the storm of thoughts and emotions settles, and the water becomes as smooth as a mirror, finally reflecting the blue sky above it, with the radiant Sun at its centre. Here, of course, the ‘Sun’ is a metaphor for the creative essence of reality-as-a-whole, the source of all energy and life, which you now realize to be your true identity. 

“Just when I thought I was out, they pull me back in!”
I guess that that’s what I experienced during the summer of 2018, an enlightenment experience. Not that I would say that I am permanently Enlightened now. Not even close. For, as many spiritual seekers will testify, such “pink and fluffy” feelings of all-encompassing joy and love, which generally accompany the first glimpse of non-duality, are usually not permanent. They last for a while – from a couple of days or weeks for most people up to a year or even a few years for others – but then, ultimately, at one point or another, daily life kicks back in again. It’s a bit like what happens to mafia boss Michael Corleone (the character played by Al Pacino in The Godfather) who, realizing the senselessness of the mobster life style, wants to get out but finds to his dismay that the ties to his former personality aren’t cut that easily. The people around him – family, friends, enemies, the FBI – still see and treat him as the Capo di capi, forcing him to act accordingly, against his deepest wish. At one point in the film this makes him exclaim the famous line: “Just when I thought I was out, they pull me back in!” (And the television series The Sopranos, where the same thing happens to mafia boss Tony Soprano, contains some great parody on this.)

Most spiritual seekers who look upon the experience of non-duality as the ultimate Enlightenment, as the end point of the spiritual path, have at one point or another uttered just the same line – “Just when I thought I was out, they pull me back in!” – or something like it. They find that the unforeseen events of daily life keep ‘pulling them back into duality’, that is, keep addressing them as separate individuals, who must struggle to find their way through life. You may become sick, lose your job, lose a loved one, fall back into some nasty habit, or simply hit your head very hard against a kitchen cupboard – the trigger could be any negative experience, which suddenly bursts your pink bubble of non-duality. Hence the importance of spiritual practices, what in Indian philosophy is known as “sadhana”, such as yoga and meditation, which help you to stabilize your initial enlightenment experience and to integrate it into your daily life.

The global threat of climate change
In my case, what shook me out of my pink-and-fluffy dream of cosmic love was precisely the very same thing that had put me in it: the long hot summer of 2018. As elated as I was about the melting of my ego and becoming one with the universe, I knew in the back of my head that – from another perspective – this melting was a very bad thing. As if the polar caps themselves were melting inside of me! The looming threat of climate change gave this whole ‘enlightenment thing’ an eerie atmosphere, not least because much of the Netherlands lies several meters below sea level. This is especially the case where I live, in the province of Zeeland, where an intricate network of dikes is our last line of defence against the ocean thunderously bearing down upon us. Lying on the beach, immobilized by the oppressive heat, I would have these nightmarish visions of polar caps melting and breaking up into huge chunks, causing tidal waves spilling over the dikes, engulfing our homes, drowning my loved ones…

Thus, by melting my ego, global warming had created my pink-and-fluffy bubble of cosmic peace, love and happiness. But almost simultaneously it also popped that bubble. After all, it has been scientifically proven now that
man-made environmental pollution – and CO2 emission in particular – is the driving cause behind climate change. Even according to moderate scenarios, global warming will bring disastrous consequences within a hundred years, endangering the survival of the Earth’s flora and fauna, including human beings. Although it is true that the Earth has naturally warmed up and got colder again during other eras, such cycles have always been much slower, taking millions of years. But now, within a period of just 200 years, we are reaching levels that in the past brought about extinctions!

If we don’t drastically diminish our output of greenhouse gasses (such as CO2), the average global
temperature will – according to the U.N. World Meteorological Organizationmost likely have risen with 3 to 5 degrees Celsius in the year 2100. (And some estimates put this rise even higher!) In the process, there will be accelerated melting of arctic ice, which in turn will cause a rising sea level, leading to mass flooding of coastal areas. Some small island states will probably disappear altogether. There will be an increase in violent weather phenomena, such as tropical storms, heat waves and droughts, which will endanger the food chain and economic resources, especially in developing countries. Glaciers will melt, resulting in dried up rivers. Vast areas of the Earth will be left uninhabitable, becoming literally too hot to live in. As a result, there will be many, many millions of climate refugees. Already Europe is struggling with a refugee crisis due to the war in Syria. But the number of climate refugees will dwarf those that have fled the Syrian conflict. The result will be increased political conflict, instability, war... 

But even as my pink-and-fluffy bubble was popped by the threat of climate change, this loving awareness of cosmic unity stayed with me. In fact, it became even more important, because I realized that Non-Dualism could just be the right spiritual stimulus triggering people into collective action. Not only to deal with climate change and to save the precious ecosystem of our planet, but also to eradicate poverty, war, racism, injustice, and the extreme wealth inequality that has become rampant after 40 years of neoliberal capitalism. For, in the light of such challenges, what could be more inspiring and motivating than to learn that you, a seemingly separate and isolated human being, are really not separate at all? That you and the other(s) are actually the same, the same suffering being which is suffering precisely because it hasn’t yet realized what it is, namely, a single being? What could be more conducive to global responsibility and solidarity than the knowledge that you and the world around you are one?

Cosmic versus Acosmic Non-Dualism
Here, however, we should note an important difference between two kinds of Non-Dualism: cosmic and acosmic. This distinction is especially relevant to the ethical value of Non-Dualism. In philosophy “acosmism” means the denial of reality to the empirical world of plurality. The universe we observe around us appears to consist of many different individual objects, from atoms and molecules up to trees, cars, people, planets, stars and galaxies. According to acosmism, this plurality of individual objects is ultimately unreal, non-existent, a mere appearance or illusion. Non-Dual philosophers are particularly prone to acosmism, given their overarching emphasis on the fundamental unity of reality: since reality is one Whole, the empirical world of plurality must be unreal – or so it is argued sometimes. Such acosmic forms of Non-Dualism often go hand in hand with a monastic ethics of renunciation: to achieve the final Enlightenment, the individual must renounce the empirical world of plurality – only then will she realize the liberating insight into “the One” that alone is truly real. Such renunciatory acosmism affects both Eastern and Western forms of Non-Dualism. In the East, acosmism is a dominant feature of classical Advaita Vedanta and, perhaps to a lesser extent, Buddhism. In the West, acosmic tendencies can be found in Parmenides, Spinoza, Schelling (at the time of his “Identity System”) and the British Idealist Bradley.

By contrast with “acosmism” we can define “Cosmic Non-Dualism” as a position that recognizes the fundamental oneness of reality yet does not deny the reality of the empirical world of plurality. The cosmos – the infinite universe with its countless stars, planets, living and non-living beings – is rather seen as somehow manifesting the One that alone truly is. For Cosmic Non-Dualism, the One appears as the world of plurality: reality is a unity-in-diversity, an integrated whole with inner complexity, rather than a featureless blob of undifferentiated oneness – which is the view to which acosmism tends. Consequently, Cosmic Non-Dualism does not tend to world renunciation but rather to the exact opposite, world affirmation, a celebration of empirical existence as the manifestation of divine reality, and an associated ethics of universal compassion and solidarity. Enlightenment is achieved not by rejecting the world, but by embracing it as your own Self. This leads to an ethics of active involvement in the world rather than aloofness from the world. In the East, such Cosmic Non-Dualism, with its celebration of empirical reality as manifesting the Divine and its ethics of universal solidarity, can be found in the original Vedanta of the Upanishads and especially in Shaivite Tantrism. In the West, Cosmic Non-Dualism is a prominent feature of the Neoplatonism of Plotinus, who explicitly rejected the extreme world renunciation of Gnosticism, and the philosophy of Hegel, who developed his version of Absolute Idealism partly in criticism of Schelling’s acosmism.

The ethical value of Cosmic Non-Dualism
Clearly, if we want to utilize Non-Dualism as a means to foster global solidarity, we need the cosmic variety rather than the acosmic one, which tends to a nihilist indifference towards the world. This comes out forcefully in Robert Pirsig’s cult novel Zen and the Art of Motorcycle Maintenance (which is partly autobiographical), where the protagonist – the analytically minded Phaedrus – goes to India to find wisdom but ends up taking classes in Oriental philosophy taught by a professor with a predilection for classical Advaita Vedanta:

“But one day in the classroom the professor of philosophy was blithely expounding on the illusory nature of the world for what seemed the fiftieth time and Phaedrus raised his hand and asked coldly if it was believed that the atomic bombs that had dropped on Hiroshima and Nagasaki were illusory. The professor smiled and said yes. That was the end of the exchange.” (Pirsig 1999, p. 144.)

This is exactly why the difference between Cosmic and Acosmic Non-Dualism is so utterly crucial!
An activist ethics of universal solidarity is precisely what our much suffering world needs today, torn as it is by ever widening divisions – between the haves and have-nots, between different ethnic groups, between secular society and religious fundamentalism, between mass society and the isolated individual, between the dangerous lure of populism and the aloofness of the political elite, between the interests of economic growth (necessary to feed an ever-growing world population) and the interests of a defenceless nature choking in the mind-numbing garbage heap produced by economic growth. These are global problems, affecting our whole planet and everyone on it, requiring a global solution and thus global solidarity. Hence the great ethical importance of Cosmic Non-Dualism. With the separation between self and other overcome, you can no longer remain indifferent to the suffering and injustice in the world. You have to act, simply because in helping others you are actually helping yourself – perhaps not, directly, your individual self, your empirical persona, but first and foremost your underlying Self, the creative essence of the universe, of which everything and everyone is an integral part. The Non-Dualist teacher and therapist Jeff Foster puts this wonderfully well:

“It’s myself in Burma, it’s myself in the earthquake. It’s myself starving in Africa. People sometimes hear the message of non-duality and they think that it’s about sitting back and doing nothing. They think it’s about arrogantly sitting back and saying, “Oh, it’s just a dream, it’s just a story, there’s nobody there suffering so what’s the point in doing anything at all?”… Oneness recognises itself in the face of that starving child and can move to help itself, not out of pity, not because it needs to be a good person, that’s nothing to do with it.
It doesn’t come from a set morality. But in seeing that it’s all One – and this is the mystery of the universe – somehow it moves to help itself.” (Jeff Foster in Gilbert 2011, p.37.)

So let’s just hope that global warming will have at least this positive consequence, that it will lead to a global melting of the ego
and thus to a global embrace of Non-Dualist modes of thinking and experiencing. At least then we have a fighting chance to deal with our problems together, as a single species, in harmony with each other and with our precious planet.

Om & Peace!

You can join the discussion about Cosmic Non-Dualism at: www.facebook.com/groups/cosmicnondualism

References
Gilbert, Eleonora (2011), Conversations on Non-Duality: Twenty-Six Awakenings. Cherry Red Books.
Pirsig, Robert M. (1999 [1974]), Zen and the Art of Motorcycle Maintenance. London: Vintage.
Wallis, Christopher D. (2013), Tantra Illuminated: The Philosophy, History, and Practice of a Timeless Tradition. Boulder, CO: Mattamayura Press.

Friday, February 15, 2019

Life, coming soon to a theatre near you – or: What can non-duality do for you?

When you realize you are ‘just’ the universe manifesting as you, you are liberated from the burden of having to be you. That is: you no longer have to make an effort to be you, since the universe is already doing that for you.

You no longer have to go to work, although “going to work” is still going on; the universe is doing that for you. You no longer have to exert yourself to reach some future goal, although “exertion” and “reaching goals” are still going on; the universe is doing that for you. You no longer have to think intensely about your problems, although “intense thinking about problems” is still going on; the universe is doing that for you. Just as the universe lets your heart beat, makes your hair and nails grow, digests the food in your bowels, so the universe takes care of all of your life – it all goes on spontaneously, effortlessly. 

There is, however, a widespread misunderstanding about this non-dualist attitude to life. People who are into non-duality often can be heard to say things like: “I simply let everything happen – good things and bad things alike.” Now, that may sound like indifference, but actually it's the reverse: it's unconditional love for everything and everyone, for existence as a whole. Love becomes the dominating motive of all thought and action.

That doesn't mean you simply condone bad or evil deeds. Because in letting everything happen, you also let the opposed forces happen. It's like saying to the evil doer: “You are allowed to be, but the force that eventually conquers you is also allowed to be, and it may just be that my own body-mind is that force.” That's an important point: in letting everything happen, you also let yourself (your body-mind) happen. Your own personality is one of the things that happen.


The point is that as long as we make a conscious effort to be ourselves, we are invariably trying to live up to an image of ourselves: “I want to be a good parent, so I am not allowed to feel angry at my kid. I want to be healthy and beautiful, so I have to exercise three times a week. I want to be creative, so I have to work hard on my talent. I want to be a good employee, so I have to work overtime…”

But the trouble with such self-images is that they are no more than ideas, concepts, pictures created by the mind and then forced on a living, ever-changing reality. A mental picture, just like a photograph, freezes what is in reality a dynamic process in constant flux. So, paradoxically, by making a conscious effort to be ourselves, to live up to the image we have of ourselves, we are invariably untrue to ourselves, we deny our own constantly changing nature. In this way, all the images we have of ourselves are idealizations. This is one of the main causes of stress and depression: desperately sticking to a self-image, desperately trying to make it work, when in fact it is no longer working for us, simply because we or our environment – and we can’t really make a distinction here – have changed.

This mis-match between your self-image and your true nature testifies to the basic fact that you are not in control of yourself: you do not create yourself, because the universe creates you. You are, as said, the universe manifesting as you. And, as such, you are already complete, you lack nothing. For what could the universe possibly want? It is already everything, with nothing outside of it. This perfect wholeness of the universe expresses itself in all things, including you, little old you with all your quirky imperfections…


So it’s much, much, much easier to let the universe do the heavy lifting for you. Just sit back and enjoy the show: watch the universe unfold your life (in other words: go with the flow). This doesn’t mean your mind and body will no longer experience pain, stress, hard work, exertion, loss, fatigue, exhaustion, fear, doubt, desperation, anger… All these things still occur, but – and this is the crucial difference – they occur as passing phenomena, as temporary manifestations of the universe that ‘you’ just observe… And as such, they become much, much, much easier to deal with. They become lighter, free from the burden of having to be this person, having to live up to this idealized self-image.

In this way, your sense of self changes. Earlier you were this body-mind. Now that you realize this body-mind is completely the work of the universe, you become the observer of the body-mind, the “witness” as it is called in Indian philosophy, the pure awareness in which this body-mind is allowed to appear and develop according to its own flow. Earlier you were this body-mind, now you are the awareness that lovingly embraces this body-mind…

And, of course, as with any good movie, you can still identify with the main character in it. Nothing wrong with a little “suspension of disbelief”, as long as you remember who you really are: the spectator in the theatre of awareness – or, what comes to the same thing, the universe manifesting as you…

You can join the discussion about Cosmic Non-Dualism at: www.facebook.com/groups/cosmicnondualism

Thursday, February 7, 2019

The Ogre, the Onion and the Atman

















I am like an onion. Not, as Donkey says to Shrek in the first Shrek movie, “because you stink and make people cry” (though that can happen occasionally). But because as a human being I have layers. On the outside, I appear as a physical organism (a body) with a social status (a name, a job, a wife and kid). On the inside, there is my consciousness, the sum of all my sensations, feelings and thoughts, the mental construction of my personal identity (my convictions, my likes and dislikes, my love for my wife and kid, and so on). Deeper still, there is a formative psychological layer going back to early childhood, formed by DNA and upbringing…

But, and this is the irony of the onion model, ultimately an onion has no core – at least not in the way fruit has one or more seeds at its centre. The centre of an onion is just another layer – with nothing under it! Peel away that final layer and nothing remains.
Now, one could say: “This is where the onion metaphor for the human being breaks down.” But is that so? Isn’t there an inner nothingness at my centre, covered up by all these physical, social, and psychological layers and yet holding them all together as my layers? Namely, the nothingness of my pure ‘I’ as the unconditioned source of my radical freedom?

As the German Idealist Schelling (1775 - 1854) said, the unconditioned (“das Unbedingte”) cannot be a thing (“Ding”), because a thing is always conditioned (“be-dingt”). That is to say: a thing is always some-thing and thus determined, limited, finite, conditioned by its (causal or conceptual) relations to other things. Therefore, the source of my freedom – in being unconditioned – cannot be a thing: it must be no-thing, the indefinable void out of which all my free thoughts and actions emerge (and to which they return once they have run their course). But this unconditioned at the centre of my being, isn’t it the same as the unconditioned source of all that exists, of the entire universe?

After all, the unconditioned must be no-thing. But how can the nothing in me differ in any way from the nothing out of which the universe emerged? (And into which it will dissolve
again once it has run its course.) Obviously, there cannot be multiple nothings, since they have no distinguishing characteristics – indeed, what is nothing has no characteristics at all! So, the nothing in me, the unconditioned source of my freedom, must be the same nothing that is the unconditioned source of reality-as-a-whole. I guess that’s what those ancient Indian philosophers meant when they said that “Atman is Brahman”, i.e. that the Self is the Ultimate Reality. This comes out beautifully in the famous dialogue between the sage Uddalaka and his son Svetaketu.

Having told his son to cut open one of the tiny seeds of the fruit of the banyan tree, Uddalaka asks: “What do you see there?” To which Svetaketu replies: “Nothing, sir.” Then Uddalaka says: “This finest essence here, son, that you can’t even see – look how on account of that finest essence this huge banyan tree stands here. Believe, my son: the finest essence here – that constitutes the Self of this whole world; that is the truth; that is the Self. And you are that, Svetaketu.” (Chandogya Upanishad 6.12)

Sunday, December 30, 2018

Non-Dualism in East and West: An Introduction

“You are a woman; you are a man; you are a boy or also a girl.
 As an old man, you totter along with a walking-stick.
As you are born, you turn your face in every direction.
You are the dark blue bird, the green one with red eyes,
the raincloud, the seasons, and the oceans.
You live as one without a beginning because of your pervasiveness,
you, from whom all beings have been born.”
(Svetasvatara Upanishad 4.3-4)


Non-Dualism is a type of spiritual philosophy based on a type of spiritual experience, that of non-duality, the complete absence of separation (duality) between you and the world you observe. In non-dual awareness, the subject experiences reality as one whole of which the subject itself forms an integral part. Thus, subject-object duality is overcome. As a type of philosophy, Non-Dualism tries to make sense of this non-dual experience, to interpret it, to explain it, to gauge its value, to place it in a broader world view. However, Non-Dualism is not just one philosophy but a family of different philosophies, mostly Eastern, though the West has produced some significant forms of Non-Dualism as well, but here it usually goes by the name “Monism” (more about this terminological difference below). In Eastern philosophy, non-duality is a central feature of Vedanta, Buddhism, Daoism, Sufism, and Shaivite Tantrism. In Western philosophy, elements of non-dual thinking can be found in Eleatic Monism, Neoplatonism, Spinozism, Absolute Idealism, and Schopenhauer´s metaphysics of the Will to Life.
 
Whereas the Western approaches to non-duality are mostly theoretical, more focused on the epistemological, ontological, political and theological aspects of non-duality, the Eastern approaches – though certainly not devoid of theory – focus more on the experience of non-duality as an existentially transformative experience, to be more precise, as the key to “Enlightenment” and the ultimate “Liberation of Suffering”. Here the non-dual experience brings to an end the suffering inherent in being a (seemingly) separate individual
, standing over against an independent world, in which the individual must struggle to maintain him-/herself. As the illusion of the separate ego falls away, its petty worries and ambitions, its bickering likes and dislikes, its fears and unfulfilled desires – all these obstacles to peace of mind fall away as well. And what remains is just peace of mind, a tranquil bliss, and a deep feeling of loving unity with everything and everyone. In Eastern philosophy, this liberating aspect of non-dual awareness is traditionally theorized as bringing to an end the suffering of samsara, the karmic cycle of reincarnation.

In Eastern philosophy, the enlightening aspect of non-duality is often illustrated in terms of the comparison of the human mind with a lake that mirrors the sky above it. Normally, the water on the lake is rippled, as the ever-variable winds of our thoughts and emotions create smaller or greater waves, causing a distorted reflection of the sky in the water. But with the experience of non-duality, the waves on the lake calm down, as the storm of thoughts and emotions settles, and the water becomes as smooth as a mirror, finally reflecting the blue sky above it, with the radiant Sun at its centre. Here, of course, the ‘Sun’ is a metaphor for the creative essence of reality-as-a-whole, the source of all energy and life, which you now realize to be your true identity.

Origin of Non-Dualism in the Upanishads
The oldest texts that explicitly thematize non-duality, and its connection with Enlightenment and Liberation, are the Upanishads, the fountainhead of Indian philosophy. The earliest Upanishads, the Brihadaranyaka and the Chandogya, date roughly from 800 BCE, although they are based on much older oral traditions. The philosophy expounded in the Upanishads is called “Vedanta” because these texts form the closing books of the sacred Hindu scriptures, the Veda. Thus, the Upanishads constitute the “end / culmination of the Veda” (“Veda-anta”). But this can also be read as the “highest knowledge” since in Sanskrit “veda” means “knowledge”. Vedanta in general, however, is not to be confused with Advaita Vedanta, which is a special case of Vedantic philosophy. Advaita Vedanta emerged much later as a recognizable school in Indian philosophy, around 800 CE, and develops just one of the many strands that can be found the Upanishads. Thus, Advaita Vedanta is certainly not representative of the entire range of Vedantic philosophy – a point that is often sadly ignored, not least by proponents of Advaita itself. I will say more about the difference between Advaita Vedanta and Vedanta in general below when I discuss the difference between Cosmic and Acosmic Non-Dualism.

The Upanishads develop concepts that proved to be fundamental to subsequent Indian philosophy and religion – concepts such as reincarnation, the law of karma that regulates rebirth, and the techniques for achieving liberation from the samsaric cycle of rebirth, such as Yoga, meditation, ascetism and world renunciation. In this way, the Upanishads prepared the way for new spiritual movements, notably Buddhism and Jainism, which emerged not long after the composition of the oldest Upanishads. With the concepts of reincarnation and karma, a profound pessimism creeped into Indian culture: earthly life was seen as a prison of suffering from which there is no escape, since due to the karmic effects of our actions we are reborn again and again into this ‘vale of tears’. The Upanishads, however, not only introduced this pessimism into Indian culture but at the same time presented a solution, a “Path to Liberation” by way of non-dual identification with the divine ground of reality-as-a-whole, the “Brahman” that underlies everything and everyone. By the non-dual awareness of Brahman as one’s innermost Self (“Atman”) – i.e. by realizing that “Atman is Brahman” – one breaks the power of karma and the cycle of reincarnation, becoming one with the Highest Bliss which is Brahman. This non-dual awareness of Brahman-Atman is the “highest knowledge” which, as we have noted, the term “Vedanta” indicates. More about the development of Vedantic thought in the Upanishads can be found here.

“This finest essence here, son, that you can’t even see, look how
on account of that finest essence this huge banyan tree stands here.
Believe, my son: the finest essence here – that constitutes the Self
of this whole world; that is the truth; that is the Self.
And you are that, Svetaketu.” (Chan.Up. 6.12)
The Dialogue between Uddalaka and Svetaketu
A clear illustration of non-dual awareness in the Upanishads can be found in the famous dialogue between the sage Uddalaka Aruni and his son Svetaketu in the Chandogya Upanishad. Having told Svetaketu to cut open one of the tiny seeds of the fruit of the banyan tree, Uddalaka asks: “What do you see there?” “Nothing, sir,” Svetaketu replies. Then Uddalaka tells him: “This finest essence here, son, that you can’t even see – look how on account of that finest essence this huge banyan tree stands here. Believe, my son: the finest essence here – that constitutes the Self of this whole world; that is the truth; that is the Self. And you are that, Svetaketu.” (Chan.Up. 6.12) Brahman, the “finest essence” of the whole world, cannot itself be seen or thought because it is the underlying unity of all the different beings in reality; as such, Brahman differs from nothing and thus cannot be conceptually determined in contrast to anything else. As Uddalaka explains to his son: just as a chunk of salt dissolved in water can no longer be seen but nevertheless pervades all of the water, so Brahman is the indescribable essence pervading everything, thereby giving everything reality (Chan.Up 6.13). With this ineffable essence of reality Svetaketu is declared to be identical by Uddalaka: “You are that” (“Tat tvam asi”) – which is one of the four “Great Sayings” (Mahavakyas) traditionally seen as expressing the core message of the Upanishads, the other three being “Atman is Brahman”, “Conscious is Brahman”, and “I am Brahman”. Each saying is a formulaic expression of the same non-dual insight: that the single and all-encompassing Brahman is in essence identical with the human Self – or, in other words, that the empirical plurality of individual human selves is really an illusion, because in reality there is only one Self, the Atman which is Brahman, the Absolute Subject underlying the universe.

Western Monism and Spinoza’s Supreme Joy
Earlier we noted that Non-Dualism is more usually known as “Monism” in the context of Western philosophy. This has to do with the difference between Western and Eastern forms of Non-Dualism: that the former are more theoretical, whereas the latter are primarily aimed at the practical-existential aim of Liberation. Monism means first of all the theoretical claim that all of reality is fundamentally a single ‘thing’, one seamless all-including Whole. Non-Dualism indicates this overarching unity of reality as well but focuses attention primarily on what this means for the subject: the falling away of its separation from the world in the liberating experience of non-duality. This is not to say that the liberating aspect of non-duality has gone totally unnoticed in Western philosophy, but the role it plays there is considerably less pronounced than in Eastern philosophy, where it is indeed the central interest.

Baruch Spinoza, 1632-77
Spinoza is probably the Western philosopher who comes closest to this Eastern appreciation of the liberating power of non-duality. Baruch Spinoza, born a Sephardic Jew in Amsterdam during the Dutch “Golden Century”, was excommunicated from the Jewish community at the age of 23 for proclaiming heretical opinions. Exactly what these opinions were is unknown, but – given his later monist philosophy of the single, all-including “Substance” which can be called “God or Nature” – these opinions probably involved a denial of the dualistic conception of God as standing apart from and above His creation (a conception common to the three Abrahamic religions: Judaism, Christianity, Islam). No doubt, the excommunication made life extremely difficult for Spinoza, who was still a young man at the time, cut off from his family, having to fend for himself, since fellow Jews were explicitly forbidden to help or even to contact him. So when Spinoza – in his first piece of philosophical writing, the Treatise on the Emendation of the Intellect – speaks of the vanity of mundane existence and his longing for a supreme joy independent of the vicissitudes of daily life, we know he is speaking from the heart: “After experience had taught me the hollowness and futility of everything that is ordinarily encountered in daily life […], I resolved at length to enquire whether there existed a true good […] whose discovery and acquisition would afford me a continuous and supreme joy to all eternity.” (Treatise on the Emendation of the Intellect, para.1)

The problem, as Spinoza goes on to diagnose, is that people normally desire “perishable things” which “can be reduced to these three headings: riches, honour, and sensual pleasure” (idem: para.3&9). As these things are “perishable”, they cannot afford lasting happiness; in fact, they worsen our existential situation, since their acquisition more often than not requires compromising behaviour and their consumptions makes us even more dependent on perishable goods. “But love towards a thing eternal and infinite feeds the mind with joy alone, unmixed with any sadness.” (Idem: para.10) Thus, in his mature masterpiece, the Ethics, Spinoza finds lasting happiness only in the “intellectual love of God”, which is the mystical, non-dual vision of the single “Substance” underlying everything and everyone. The non-dual nature of this vision is clearly announced by Spinoza when he says that “[t]he mind’s intellectual love of God is the very love of God by which God loves himself” (Ethics, Part 5, Prop. 36). Since, for Spinoza, God is the Whole that includes everything, it also includes your love for God, and thus God can be said to love Itself through you.

Non-Duality and the Problem of the Ego
As Non-Dualist therapists stress, the conviction of being a separate individual, who must assert him-/herself in the outside world, brings with it a sense of contraction and straining, experienced physically as contracted breathing and a tightening of the body, felt specifically in the solar plexus, the throat, the back of the head, and as a strain around the eyes. This feeling of contraction into a separate being sets in when we’re still very young and builds up as strain and stress throughout our lives. No wonder burn-out is reaching epidemic proportions in our hyper-individualized societies!
In the experience of non-duality, this stress and straining falls away, as you experience yourself as basically one with the world. Hence the therapeutic value of Non-Dualism. In the non-dual experience, the sense of separation between ‘me’ and ‘not-me’ disappears, and the restless drive to be a self-standing, self-asserting individual is given up. The separate ego is felt to dissolve in the cosmic Whole. This sense of letting go is experienced physically and emotionally as a great relaxation, a great sigh of relief, like the final breath of a dying man. With this difference, of course, that you do not die – on the contrary, you are in a sense reborn in a liberated state, born into freedom for the first time in your life.

Freud described the oceanic feeling as
the "
feeling of oneness with the universe".
Or, rather, for the second time. For, in a way, what happens in the experience of non-duality is that you return to the state of oneness you experienced as a baby. That feeling of being absolutely one with your mother when still in the womb, and later, after birth, of being held in the arms, that feeling of total safety and surrender, of undivided unity and love, what Freud called the “oceanic feeling” which he described as a “feeling of oneness with the universe” – that primal feeling of undifferentiated bliss is what we lose when we grow up and are taught to see ourselves as separate beings, each with his/her own free will and moral responsibilities, having to live up to society’s expectations. We lose this bliss, but we never lose the memory of it, and that basically is why we suffer – in the sense of suffering that plays such an important role in Eastern philosophy. We suffer because we want, more than anything else, to return to that original state of blissful unity which we experienced as babies, and because – as separate individuals – we can never have it again. We want, therefore, the impossible – as long as we remain in the dualist mode of being.

From a Non-Dualist perspective, this is the secret of human desire. Seemingly separated from the Whole, we feel radically incomplete, radically insecure, and then we try to fill this inner lack by seeking something outside ourselves, something that will make us whole again. That’s why we never stop buying stuff, running desperately after wealth and success, love and sexual pleasure, physical health and beauty. We think: “If only I could buy that new car…”, or: “If only I could find the right partner…”, or: “If only I could finish my education…”, or:  “If only I could have that breast enlargement…” – in short: “If only I could get my hands on this elusive thing X, THEN I would be happy, THEN I would be complete, THEN I would be fulfilled.” But, as we all know – deep down, even if we don’t admit it – it simply doesn’t work that way. The ‘Inner Hole’ left by the ‘Original Whole’, which we lost when we became (or thought we became) separate beings, can never be filled by anything short of the Whole itself. Trying to fill it by external things – be it material objects, public success or loving partners – is like trying to fill a sieve with water. And that’s what suffering is: trying to retrieve the Whole while remaining separate.

In this way we can make sense of the cycle of samsara without having to buy into the ancient metaphysics of reincarnation, which to modern eyes is bound to appear as unscientific superstition. The cycle of samsara can simply be understood as the cycle of desire: each attempt to satisfy the inner need to be whole again by means of some finite thing, a “perishable good” (Spinoza), is bound to fail and thus to reproduce the same desire again and again. Samsara is the ceaseless reproduction of dualist desire, because nothing finite and temporal can ultimately satisfy us. Only the Whole can do that, and thus it is only in non-dual awareness – when we realize our original oneness with the Whole – that the samsaric cycle of desire finally stops. This ending of dualist desire is Enlightenment, the Liberation from Suffering, or – as Buddhists say – nirvana. This does not mean we become totally desireless, without any need or want. Only a certain type of desire falls away, “Desire” writ large, the desire to “fix” ourselves, to become whole by chasing finite things in the world. That desire falls away, because we realize that we never left the Whole in the first place.

"The self continues in samsara only as long
as it retains attachment due to ignorance
or Maya. If it casts off the veil of Maya
through knowledge, it will realize its identity
with the Brahman and get merged into it."

(Shankara, the founder of Advaita Vedanta)
Cosmic versus Acosmic Non-Dualism
Earlier we noted an important distinction in Non-Dualist thinking between Eastern approaches, which focus above all on the liberating aspect of non-duality, and Western approaches, which focuses more on the theoretical side of non-dualism qua monism (with the significant exception of Spinoza). A second distinction, which runs across both Eastern and Western forms of Non-Dualism, is between ‘cosmic’ and ‘acosmic’ forms of Non-Dualism. In philosophy “acosmism” means the denial of reality to the empirical world of plurality. The universe we observe around us appears to consist of many different individual objects, from atoms and molecules up to trees, cars, people, planets, stars and galaxies. According to acosmism, this plurality of individual objects is ultimately unreal, non-existent, a mere appearance or illusion. Non-Dual philosophers are particularly prone to acosmism, given their overarching emphasis on the fundamental unity of reality: since reality is one Whole, the empirical world of plurality must be unreal – or so it is argued. Such acosmic forms of Non-Dualism often go hand in hand with a monkish ethics of renunciation: to achieve the final Liberation of Suffering, the individual must renounce the empirical world of plurality – only then will she realize the liberating insight into “the One” that alone is truly real. Since the individual, qua individual, is part and parcel of the world of plurality, this renunciation of the world is also a radical self-renunciation: even one’s own individual existence must be rejected as illusory! Such acosmism affects both Eastern and Western forms of Non-Dualism. In the East, acosmism is a dominant feature of Advaita Vedanta and, perhaps to a lesser extent, Buddhism. In the West, acosmic tendencies can be found in Parmenides, Spinoza, Schelling (at the time of his “Identity System”) and the British Idealist Bradley.

By contrast with “acosmism” we can define “Cosmic Non-Dualism” as a position that recognizes the fundamental oneness of reality yet does not deny the reality of the empirical world of plurality. The cosmos – the infinite universe with its countless stars, planets, living and non-living beings – is rather seen as somehow manifesting the One that alone truly is. For Cosmic Non-Dualism, the One somehow ‘appears’ as the world of plurality: reality is a unity-in-diversity, an integrated whole with inner complexity, rather than a featureless blob of undifferentiated Oneness – which is the view to which acosmism tends. Consequently, Cosmic Non-Dualism does not tend to world renunciation but rather to the exact opposite, world affirmation, a celebration of empirical existence as the manifestation of divine reality, and an associated ethics of universal compassion and solidarity. Enlightenment is achieved not by rejecting the world, but by embracing it as your own Self. This leads to an ethics of active involvement in the world rather than aloofness from the world. With the separation between Self and Other overcome, you can no longer remain indifferent to the suffering and injustice in the world. You have to act, simply because in helping others you are actually helping yourself – perhaps not, directly, your individual self, your empirical persona, but first and foremost your underlying Self, the creative essence of the universe, of which everything and everyone is an integral part. In the East, such Cosmic Non-Dualism, with its celebration of empirical reality as manifesting the Divine and its ethics of universal solidarity, can be found in Shaivite Tantrism and the Qualified Non-Dualism of the Vedantic philosopher Ramanuja. In the West, cosmic Non-Dualism is a prominent feature of the Neoplatonism of Plotinus, who explicitly rejected the extreme world renunciation of Gnosticism, and the philosophy of Hegel, who developed his version of Absolute Idealism partly in criticism of Schelling’s acosmism.

The Superiority of Cosmic Non-Dualism
In my view, the spiritual philosophy of Cosmic Non-Dualism is exactly right for our time. Not only is the factual truth of some form of Cosmic Non-Dualism strongly suggested by what contemporary physicists and philosophers tell us about the holistic unity of the universe, and the place of consciousness in it, Cosmic Non-Dualism also satisfies an urgent ethical and spiritual need that is felt worldwide. As such, it is far superior to Acosmic Non-Dualism, which tends to a nihilist indifference towards the world. This comes out forcefully in Robert Pirsig’s cult novel Zen and the Art of Motorcycle Maintenance (which is partly autobiographical), where the protagonist – the analytically minded Phaedrus – goes to India to find wisdom but ends up taking classes in Oriental philosophy taught by a professor with a predilection for Advaita Vedanta:

“But one day in the classroom the professor of philosophy was blithely expounding on the illusory nature of the world for what seemed the fiftieth time and Phaedrus raised his hand and asked coldly if it was believed that the atomic bombs that had dropped on Hiroshima and Nagasaki were illusory. The professor smiled and said yes. That was the end of the exchange.” (Zen and the Art of Motorcycle Maintenance, Vintage 1999, p. 144)

This is why the difference between cosmic and acosmic forms of Non-Dualism is so utterly crucial! An activist ethics of universal solidarity is precisely what our suffering world needs, torn as it is by ever widening divisions – between the haves and have-nots, between different ethnic groups, between secular society and religious fundamentalism, between mass society and the isolated individual, between the dangerous lure of populism and the aloofness of the political elite, between the interests of economic growth (necessary to feed an ever-growing world population) and the interests of a defenseless nature choking in the mind-numbing garbage heap produced by economic growth. It is now, after all, generally acknowledged that environmental pollution is the driving cause behind catastrophic climate change and diminishment of biodiversity. This is a global problem, affecting our whole planet and everyone on it, requiring a global solution and thus global solidarity.

Here Cosmic Non-Dualism could just be the right stimulus triggering people into collective action, not only to save the precious ecosystem of our planet, but also to eradicate poverty, war, racism, injustice, and the extreme wealth inequality that has become rampant due to 40 years of neoliberal capitalism. What, in the light of these challenges, could be more inspiring and motivating than to learn that you, a seemingly separate and isolated human being, are really not separate at all, that you and the other(s) are actually the same, the same suffering being which is suffering precisely because it hasn’t yet realized what it is, namely, a single being? What could be more conducive to global responsibility and solidarity than the knowledge that you are non-different from the world around you? The Non-Dualist teacher and therapist Jeff Foster puts this wonderfully well:


“It’s myself in Burma, it’s myself in the earthquake. It’s myself starving in Africa. People sometimes hear the message of non-duality and they think that it’s about sitting back and doing nothing. They think it’s about arrogantly sitting back and saying, “Oh, it’s just a dream, it’s just a story, there’s nobody there suffering so what’s the point in doing anything at all?”… Oneness recognises itself in the face of that starving child and can move to help itself, not out of pity, not because it needs to be a good person, that’s nothing to do with it. It doesn’t come from a set morality. But in seeing that it’s all One – and this is the mystery of the universe – somehow it moves to help itself.” (Jeff Foster in Conversations on Non-Duality, p.37)

You can join the discussion about Cosmic Non-Dualism at: www.facebook.com/groups/cosmicnondualism

Monday, August 20, 2018

Some Thoughts on the Mathematical Unfolding of Absolute Self-Awareness

In various posts on this blog I have sketched the rough outlines of a contemporary version of Absolute Idealism, which I like to call – for lack of a better term – “Absolute Idealism 2.0”. The philosophical tradition of Absolute Idealism, stretching from the Upanishads in the East and Plotinus in the West to the German and British Idealists, can be summarized by the claim that everything exists because it is thought and/or experienced by an Absolute Mind, which in turn exists because it thinks/experiences itself. Thus, the Absolute Mind makes itself exist by being aware of itself, and it should as such be defined as Absolute Self-Awareness (ASA). This self-causing capacity of ASA (developed especially by Plotinus and Fichte) is in my view one of the strong features of Absolute Idealism, as it provides a possible (and, perhaps, plausible) answer Leibniz’s famous question why something exists rather than nothing.

This answer, however, is only worth anything if the concept of ASA can also explain why reality is the way it is. For we do not just want to explain the existence of reality; we also want to explain its nature. Why did reality take the form of this universe we see around us, developing in space and time, governed by physical laws? This is where Absolute Idealism 2.0 comes in. Taking its cue from modern physics, which shows the thoroughly mathematical nature of physical reality, Absolute Idealism 2.0 stresses the intimate connection between mathematics and the structure of (absolute) self-awareness. In earlier posts I already developed some ideas about this connection (see here, here and here). This post takes these ideas to a (somewhat) higher level.

I will end with some speculations about a mathematical solution to the problem of evil (the theodicy problem): given the randomness of by far the most real numbers, is it possible that the Absolute simply ‘lost itself’ in what Leibniz called the “labyrinth of the continuum”? Does this explain why the universe is not perfect, despite being the mathematical image of ASA?

ASA’s awareness of the natural numbers and real numbers
The basic idea is that ASA, due to its inner recursivity, generates an infinite sequence of reflection levels (namely: self-awareness, awareness of self-awareness, awareness of awareness of self-awareness, ...) isomorphic to the sequence of the natural numbers N={0, 1, 2, 3, …}. Presupposing a structuralist account of mathematics (such that mathematical objects are numerically identical iff they are isomorphic), we can conclude that the natural numbers exist because ASA, through its inner recursivity, thinks them. N, then, is ASA’s first creation beyond its immediate self-awareness.

This idea, that ASA through its inner recursivity generates a sequence isomorphic to N, was first put forward systematically by the American Idealist Josiah Royce, influenced by Dedekind’s notorious Gedankenwelt proof of the existence of infinity (see the “Supplementary Essay” in Royce
1959 [1899]). Anticipations of this idea, however, can already be found in the Neoplatonic philosopher Plotinus (as I explain more fully here). Virtually the same idea was later developed by the Husserlian phenomenologist and mathematician Oskar Becker, who shows in some detail how the inner unfolding of self-awareness exhibits the same principles as the ones used by Cantor in his construction of the transfinite hierarchy (see Becker 1973 [1927]).

It is sometimes objected that this infinity of levels of self-awareness is humanly impossible: we can be aware that we are self-aware, and perhaps we can also be aware of this awareness of our self-awareness, but this is where the buck stops for most of us. Russell, for example, comments as follows on Dedekind’s idea that self-awareness implies infinitely many reflection levels: “Now it is plain that this is not the case in the sense that all these ideas have actual empirical existence in people’s minds. Beyond the third or fourth stage they become mythical.” (Russell 1970 [1919]: 139)

In response to this objection, it should be remembered that we are not speaking of human self-awareness, but of absolute self-awareness (ASA) qua self-causing cause of all reality. The assumption that this ASA exists is admittedly not a matter of course, and I can see why a philosopher like Russell would reject that assumption out of hand (after all, Russell and Moore started analytic philosophy as a revolt against the Absolute Idealism of their teachers). Nevertheless, the idea that self-awareness has a self-causing capacity can be defended, and I see no other equally plausible answer to Leibniz’ question “Why does reality exist?” on the table. Once we accept the assumption that ASA is the self-causing cause of reality, then the above objection to the infinity of levels falls away. For, surely, such infinite complexity would be no problem for the Absolute, i.e. that which explains everything else? We should also keep in mind here that, since self-causation is obviously impossible in time, the ASA can only exist timelessly. So the infinite hierarchy of reflection levels cannot be conceived as a merely potential infinity, unfolding in time; it must be conceived as a timelessly existing actual infinity, accomplished ‘at once’ by the ASA, in the nunc stans of its timeless reality.



Georg Cantor (1845 - 1918)
I note here in passing that this idea of an infinite hierarchy of reflection levels inside the ASA (a hierarchy which even extends into the transfinite, as Oskar Becker argues) fits Cantor’s original vision of transfinite set theory wonderfully well. Cantor was a deeply religious man, interested in theology and metaphysics no less than in mathematics. For him, the existence of the transfinite hierarchy was guaranteed by God, in whose mind all the infinite sets exist as separate ideas. These sets, as Cantor wrote, “exist in the highest degree of reality as eternal ideas in the Intellectus Divinus” (quoted in Dauben 1979: 228). Obviously, other mathematicians generally disapprove of Cantor’s theological views (sometimes interpreting them as signs of Cantor’s mental illness, which had a touch of religious insanity). For most mathematicians, transfinite set theory can do just fine without a grounding in theological metaphysics. But from the perspective of Absolute Idealism 2.0, Cantor’s theological views are not so strange. One could even say that by arguing for the self-causation of ASA and its inherent recursivity (which generates the infinite hierarchy of reflection levels), we give a philosophical foundation to Cantor’s belief in the existence of the transfinite hierarchy in the Divine Mind.

Be that as it may, the next step is the realization that ASA, through its awareness of the natural numbers, is also aware of all possible mappings from the natural numbers to the natural numbers, i.e. ASA is aware of all total functions f:N
N. (Formally, the set of all functions from A to B is defined as BA = { f : f є P(AXB) and f is single-valued}.) To see why, we need to keep in mind what ASA essentially is, namely, absolute self-awareness. From this it follows that on each reflection level n from N ASA is aware of its identity with itself on every reflection level m from N (with the possibility that n=m). Such an awareness of self-identity between different reflection levels n and m, then, amounts to a mapping from n to m, that is, a function f such that f(n)=m. And since, as indicated, this holds for all n and m from N, it follows that ASA ‘performs’ or ‘executes’ all total f:NN. (When I speak of functions in the following, I always mean total functions as opposed to partial functions; for the distinction see here.)
 
Now, the set of all f:N
N is basically the set of all (positive) real numbers R+, i.e. the positive continuum (cf. Burrill 1967). This follows from the facts that each f:NN can be seen as the definition of a real number, and that each real number can be seen as the output of some f:NN as it progressively evaluates its domain N. This turns on the fact that each real number can be defined as a natural number (i.e. the integer part) followed by a unique and infinite decimal expansion, for example, π=3.141592654…. The point is that among all the f:NN there is at least one f that outputs π as it progressively evaluates N. That is: there is at least one f such that f(0)=3, f(1)=1, f(2)=4, f(3)=1, and so on. Thus, one possible definition of π is in terms of this f, namely: π=f(0).f(1)f(2)f(2)f(3)f(4)f(5)…

In this way, each positive real number can be defined in terms of some f:N
N. And conversely, each f:NN defines some positive real number. Thus, as said, the set of all f:NN is basically identical with the set R+. This, of course, requires the convention that for each such f we see f(0) as the integer part of the real number defined by f, but this is unproblematic. There is, however, one minor complication with this definition of R+ in terms of all f:NN, namely: it implies that different functions sometimes define the same real number. For example, we saw that π is defined by the function f such that f(0)=3, f(1)=1, f(2)=4, f(3)=1, f(4)=5,… But there is also another function (let’s call it g) from the set of all f:NN that outputs π as follows: g(0)=3, g(1)=1415, g(2)=9, and so on. Thus π can also be written as g(0).g(1)g(2)g(3)… In fact, it is easy to see that infinitely many functions from the set of all f:NN define the same real number.

To avoid such multiple definitions of the same real number, the definition of R+ in terms of functions on N is usually limited to all f:N
{0, …, 9}. In this way, each positive real number is defined by only one such f. This is admittedly much more economical, but not strictly necessary. What matters is that the set of all f:NN basically is (i.e. defines) the set R+. I will stick to this latter definition of R+ because it fits the above account of ASA as generating N through its inner recursivity. It makes little sense to say that ASA, through this recursivity, generates only reflection levels 0 to 9 and then stops, or that ASA indeed generates all reflection levels n from N but is only aware of its interlevel self-identity on the first 10 levels (and thus of all f:N{0, …, 9}). No, ASA generates all reflection levels n from N and is aware of its interlevel self-identity on all these levels, thereby performing all f:NN. As we have seen, this means that ASA is also aware of all positive real numbers, i.e. the set R+. The fact that multiple f’s from the set of all f:NN then define the same real number is irrelevant; it is a redundancy built into the nature of ASA.

Patterns in the continuum and algorithmic information theory
The next step is somewhat more speculative, but not unreasonable. We have established that ASA is aware of all positive real numbers. So now what? What does ASA ‘do’ with the real numbers? What does the continuum ‘mean’ to ASA? Because the essence of ASA is to be aware of itself, it must use its awareness of R+ to further increase its self-awareness. This, it seems to me, can only mean that ASA looks for patterns (i.e. ordered number sequences) in the continuum in which it recognizes itself, i.e. patterns that somehow mirror its own nature.

What does this mean? It basically means that there are algorithms that mirror the nature of ASA, for example the algorithms inherent in the functioning of the human brain. We know from algorithmic information theory (developed around 1970 by Andre
ï Kolmogov and Gregory Chaitin, among others) that a number sequence is patterned (i.e. ordered, regular, as opposed to random) iff there is an algorithm, shorter in length than this sequence, which outputs this sequence. This is a definition of what order is. The shorter the algorithm, the more ordered the sequence it outputs. If for some sequence S no algorithm shorter than S can be given, then S is random. In that case, the only way to describe S is simply to reproduce S in full. S is not algorithmically compressible in that case, i.e. it contains no regularity that allows the formulation of a rule (i.e. algorithm), shorter than S itself, for the generation of S.

The number
π provides a good example of a sequence that is highly ordered in the sense of algorithmic information theory. This may come as a surprise, since π is often considered to be a typically random number, whose decimal expansion evinces no clear order. It is true that π is a normal number, i.e. an irrational number whose decimal expansion features all possible number strings with equal frequency irrespective of the chosen base, which is a kind of statistical randomness. Nevertheless, the normality of a number does not per se imply its algorithmic randomness, as is shown by the computability of π. For, as is well-known, there are a number of relatively short algorithms that calculate π’s decimal expansion up to its n-th digit for some arbitrary n. From the perspective of algorithmic information theory, then, π is in fact highly ordered, since some arbitrarily long (but obviously still finite) stretch of it its decimal expansion can be generated by an algorithm much, much shorter than this string. On second thought, this is really not so surprising. For as we all learn in high school, π is just a circle’s circumference divided by its diameter. If one were to live forever and continued this division endlessly, one would eventually calculate every digit of π. Hence the computability of π and hence its orderedness in the sense of algorithmic compressibility.

Algorithmic compressibility offers an objective and universal measure of order. This can be seen from two facts: (1) that the thermodynamic concept of entropy can also be understood in terms of algorithmic compressibility (see Baez & Stay 2013), and (2) that the algorithmic compressibility of any sequence is more or less invariant between different formal languages. To make the intuitive concept of algorithm precise, after all, we need to unpack it in terms of some formal language, such as the language of Turing machines, lambda calculus, or programming languages such as Pascal, C or LISP. Algorithms, therefore, are notation dependent, relative to some formal language. One of the strengths of the notion of algorithmic compressibility is that such differences between formal languages are more or less irrelevant to it: the algorithmic compressibility of some sequence in a formal language is the same (up to an additive constant) as its algorithmic compressibility in any other formal language. This means that algorithmic compressibility is indeed a universal and objective measure of order.

For algorithmic information theory, then, each ordered sequence of numbers represents the shortest algorithm that outputs it. This enables us to make sense of the above claim that ASA recognizes itself in some patterns in the continuum, for we can now unpack this as the claim that the algorithms represented by these patterns mirror ASA’s essence. It stands to reason that these are the algorithms that simulate intelligent agency, e.g. the algorithms that describe the functioning of human brains (and the functioning of intelligent organisms in general). We know from physics that physical reality is thoroughly computable (i.e. algorithmic). Moreover, the anthropic principle in cosmology tells us that the universe is surprisingly well-suited for the evolution of life, and thus of those physically realized algorithms that mirror ASA’s essence. Perhaps, then, we can explain the universe as that hugely complex pattern in the continuum (which, remember, exists in our view only as the structure of ASA’s self-awareness) in which ASA sees its essence best reflected? The universe, then, would simply be an extremely complicated pattern in the recursive unfolding of ASA’s self-awareness, namely, that pattern whose (shortest) algorithm simulates intelligent agency to the highest degree.

Did God lose Himself in the “labyrinth of the continuum”?
A second reason why I like this theory is that it enables us to explain why the universe is not perfect, despite being the mathematical image of ASA (or ‘God’ if you prefer). For, as Turing showed (as part of his proof of the undecidability of the halting problem), by far most of the real numbers are uncomputable and therefore transcendental. This means that their decimal expansions cannot be generated by any algorithm. Thus, from the perspective of algorithmic information theory, their decimal expansions are totally random. In being aware of the continuum, therefore, ASA is aware of something that is for the most part unordered, a kind of primordial chaos. ASA’s attempt to find patterns in the continuum (in order to mirror itself in those patterns) must therefore be extraordinarily difficult, indeed virtually impossible, since the ordered part of the continuum is infinitesimally small compared to the unordered part. In fact, if one could randomly pick out a real number (say, by pricking somewhere in the real number line with an infinitely sharp needle), the probability of getting an uncomputable number is approximately 1 (cf. Chaitin 2005: 113)! Perhaps this explains why the universe, despite being an image of ASA, is not perfect? It must, after all, be close to impossible for ASA to find order in the continuum.

Since, as we have seen, R+ and the set of all f:N
N are basically the same set, the fact that most real numbers are uncomputable also means that most of the f:NN are uncomputable. To see why most of the real numbers are uncomputable, remember that the notion of algorithm is always relative to some formal language. This language must have a finite set of basic symbols (i.e. a vocabulary) and a finite set of syntactical rules for the combination of these symbols into larger expressions. This means that the language can generate only a countably infinite number of expressions, since we can list them in order of length (i.e. we can have a bijection f:NE where E is the set of all expressions generatable in the language). Since the set of algorithms is a proper subset of the set of all expressions generatable in this language, the set of all possible algorithms too must be countably infinite. So if we assume, for contradiction, that all positive real numbers are computable, then R+ must be countably infinite as well. But we know this is not the case, given Cantor’s proof of the uncountability of the real numbers: already in the unit interval [0,1] there are uncountably many numbers (in fact, as Cantor’s sun theorem shows, there are as many reals in [0,1] as in the entire continuum!). Thus, the set of real numbers is said to be “maximally larger” than the countable set of all possible algorithms. So there simply aren’t enough algorithms to compute all the real numbers; by far most of the real numbers are uncomputable and have therefore totally random decimal expansions.

Could this, perhaps, explain why the universe is imperfect, despite being (on our account) the mathematical self-image of God, i.e. self-causing Absolute Self-Awareness? Having generated the continuum through the recursivity of its self-awareness and its interlevel self-identity (which, as we have seen, gives all f:N
N and thus all real numbers), ASA looks for those patterns in the continuum in which it can mirror its own essence (which is self-awareness), only to find that patterns form an infinitesimally small portion of the continuum, since almost all real numbers are uncomputable. So ASA’s trying to find its own image in the continuum is a bit like trying to find a needle in a haystack… only much more difficult! As said, the probability of randomly selecting a computable number out of the continuum approaches zero. One could say that ASA, trying to see its own mathematical mirror image, instead lost itself in the “labyrinth of the continuum” (as Leibniz called the complex of unsolved problems and paradoxes surrounding the real numbers). And still, we are here, there is this ordered universe in which we find ourselves. True, it is not perfect, that is, it is the not the true image of the Absolute, but still it is there and it is computable. So, despite its near impossibility, the Absolute must nevertheless have succeeded in finding order in the arch-chaos of the continuum which the Absolute had itself created. It’s a bit like that old question: what happens when an unstoppable force meets an immovable obstacle? Well, what happens is the creation of this refractory miracle which we call the universe…

 References
-Baez, J.C & Stay, M. (2013), “Algorithmic Thermodynamics”, http://math.ucr.edu/home/baez/thermo.pdf
-Becker, O. (1973 [1927]),
Mathematische Existenz: Untersuchungen zur Logik und Ontologie mathematischer Phänomene. Tübingen: Max Niemeyer Verlag.
-Chaitin, G. (2005), Meta Maths: The Quest for Omega. London: Atlantic Books.
-Burrill, C. (1967), Foundations of Real Numbers. New York: McGraw-Hill.
-Dauben, J.W. (1979), Georg Cantor: His Mathematics and Philosophy of the Infinite. Cambridge, Mass.: Harvard University Press.
-Royce, J. (1959 [1899]), The World and The Individual, First Series: The Four Historical Conceptions of Being. New York: Dover Publications. 

-Russell, B. (1970 [1919]), Introduction to Mathematical Philosophy. London: George Allen and Unwin.