Emptiness as a human condition is a sense of generalized boredom, social alienation and apathy. Feelings of emptiness often accompany dysthymia,depression, loneliness, despair, or other mental/emotional disorders such asborderline personality disorder. A sense of emptiness is also part of a natural process of grief, as resulting of separation, death of a loved one, or other significant changes. However, the particular meanings of “emptiness” vary with the particular context and the religious or cultural tradition in which it is used".
While Christianity and Western sociologists and psychologists view a state of emptiness as a negative, unwanted condition, in some Eastern philosophies such as Buddhist philosophy and Taoism, emptiness (Śūnyatā) is a realized achievement. Outside of Eastern philosophy, some writers have also suggested that people may use a transitory state of emptiness as a means of liberating themselves for personal growth.
In the West, feeling "empty" is often viewed as a negative condition. Psychologist Clive Hazell, for example, attributes feelings of emptiness to problematic family backgrounds with abusive relationships and mistreatment. He claims that some people who are facing a sense of emptiness try to resolve their painful feelings by becoming addicted to a drug or obsessive activity (be it compulsive sex, gambling or work) or engaging in "frenzied action" or violence. In sociology, a sense of emptiness is associated with social alienation of the individual. This sense of alienation may be suppressed while working, due to the routine of work tasks, but during leisure hours or during the weekend, people may feel a sense of "existential vacuum" and emptiness.
In political philosophy, emptiness is associated with nihilism. Literary critic Georg Lukács (born in 1885) argued against the "spiritual emptiness and moral inadequacy of capitalism", and argued in favour of communism as an "entirely new type of civilization, one that promised a fresh start and an opportunity to lead a meaningful and purposeful life."
The concept of "emptiness" was important to a "certain type of existentialist philosophy and some forms of the Death of God movement".Existentialism, the "philosophic movement that gives voice to the sense of alienation and despair", which comes from "man’s recognition of his fundamental aloneness in an indifferent universe". People whose response to the sense of emptiness and aloneness is to give excuses live in bad faith; "people who face the emptiness and accept responsibility aim to live “authentic” lives". Existentialists argue that "man lives in alienation from God, from nature, from other men, from his own true self." Crowded into cities, working in mindless jobs, and entertained by light mass media, we "live on the surface of life", so that even "people who seemingly have “everything” feel empty, uneasy, discontented."
In cultures where a sense of emptiness is seen as a negative psychological condition, it is often associated with depression. As such, many of the same treatments are proposed: psychotherapy, group therapy, or other types of counselling. As well, people who feel empty may be advised to keep busy and maintain a regular schedule of work and social activities. Other solutions which have been proposed to reduce a sense of emptiness are getting a pet[8][9] or trying Animal-Assisted Therapy; getting involved in spirituality such as meditation orreligious rituals and service; volunteering to fill time and bring social contact; doing social interactions, such as community activities, clubs, or outings; or finding a hobby or recreational activity to regain their interest in life.
Christianity
In Austrian philosopher/educator Rudolf Steiner's (1861–1925) thinking, spiritual emptiness became a major problem in the educated European middle class. In his 1919 lectures he argued that European culture became "empty of spirit" and "ignorant of the needs, the conditions, that are essential for the life of the spirit". People experienced a "spiritual emptiness" and their thinking became marked by a "lazy passivity" due to the "absence of will from the life of thought". In modern Europe, Steiner claimed that people would "allow their thoughts to take possession of them", and these thoughts were increasingly filled with abstraction and "pure, natural scientific thinking". The educated middle classes began to think in a way that was "devoid of spirit", with their minds becoming "dimmer and darker", and increasing empty of spirit.
Louis Dupré, a Professor of Philosophy at Yale University, argues that the "spiritual emptiness of our time is a symptom of its religious poverty". He claims that "many people never experience any emptiness: they are too busy to feel much absence of any kind"; they only realize their spiritual emptiness if "painful personal experiences -- the death of a loved one, the collapse of a marriage, the alienation of a child, the failure of a business" shock them into reassessing their sense of meaning.
Spiritual emptiness has been associated with juvenile violence. In John C. Thomas' 1999 book How Juvenile Violence Begins: Spiritual Emptiness, he argues that youth in impoverished indigenous communities who feel empty may turn to fighting and aggressive crime to fill their sense of meaninglessness. In Cornell University professor James Garbarino's 1999 book Lost Boys: Why Our Sons Turn Violent and How We Can Save Them, he argues that "neglect, shame, spiritual emptiness, alienation, anger and access to guns are a few of the elements common to violent boys". A professor of human development, Garbarino claims that violent boys have an "alienation from positive role models" and "a spiritual emptiness that spawns despair". These youth are seduced by the violent fantasy of the US gun culture, which provides negative role models of tough, aggressive men who use power to get what they want. He claims that boys can be helped by giving them "a sense of purpose" and "spiritual anchors" that can "anchor boys in empathy and socially engaged moral thinking".
Spiritual emptiness is often connected with addiction, especially by Christian-influenced addiction organizations and counsellors. Bill Wilson, the founder of Alcoholics Anonymous, argued that one of the impacts of alcoholism was causing a spiritual emptiness in heavy drinkers. In Abraham J. Twerski's 1997 book Addictive Thinking: Understanding Self-Deception, he argues that when people feel spiritually empty, they often turn to addictive behaviors to fill the inner void. In contrast to having an empty stomach, which is a clear feeling, having spiritual emptiness is hard to identify, so it fills humans with a "vague unrest". While people may try to resolve this emptiness by obsessively having sex, overeating, or taking drugs or alcohol, these addictions only give temporary satisfaction. Often, when a person facing a crisis due to feeling spiritually empty is able to stop one addiction, such as compulsive sex, they often just trade it in for another addictive behaviour, such as gambling or overeating.
Just as religion influences addiction counselling, it has also influenced other therapies. Some eating disorder therapists argue that bulimia and anorexia are caused in part by "spiritual emptiness, recognized as “hunger” of the soul", in which women who face "isolation, emptiness, pain, fear and a profound sense of disembodiment" become an "empty vessel, devoid of life" which needs to be filled with comfort-giving food.[14] People who have an "empty self" may try to "fill up on food, excitement, substances, relationships, [or] consumer products".
Fiction, film and design
A number of novelists and filmmakers have depicted emptiness. The concept of "emptiness" was important to a "good deal of 19th–20th century Western imaginative literature".[2] Novelist Franz Kafka depicted a meaningless bizarre world in The Trial and the existentialistFrench authors sketched a world cut off from purpose or reason in Jean-Paul Sartre's La Nausée and Albert Camus' L'étranger. Existentialism influenced 20th century poet T. S. Eliot, whose poem “The Love Song of J. Alfred Prufrock” describles an "anti-hero or alienated soul, running away from or confronting the emptiness of his or her existence". Professor Gordon Bigelow argues that the existentialist theme of "spiritual barrenness is commonplace in literature of the 20th century", which in addition to Eliot includes Ernest Hemingway, Faulkner, Steinbeck and Anderson.
While the film adaptations of a number of existentialist novels capture the bleak sense of emptiness espoused by Sartre and Camus, the theme of emptiness has also been used in modern screenplays. Mark Romanek's 1985 film Static tells the surreal story of a struggling inventor and crucifix factory worker named Ernie who feels spiritually empty because he is saddened by his parents' death in an accident. Screenwriter Michael Tolkin's 1994 film The New Age examines "cultural hipness and spiritual emptiness", creating a "dark, ambitious, unsettling" film that depicts a fashionable LA couple who "are miserable in the midst of their sterile plenty", and whose souls are stunted by their lives of empty sex, consumption, and distractions. The 1999 film American Beauty examines the spiritual emptiness of life in the US suburbs. In Wes Anderson's 2007 film The Darjeeling Limited, three brothers who "... suffer from spiritual emptiness" and then "self-medicate themselves through sex, social withdrawal", homosexuality, and drugs.
Contemporary architecture critic Herbert Muschamp argues that "horror vacui" (which is Latin for "fear of emptiness") is a key principle of design. He claims that it has become an obsessive quality that is the "driving force in contemporary American taste". Muschamp states that "along with the commercial interests that exploit this interest, it is the major factor now shaping attitudes toward public spaces, urban spaces, and even suburban sprawl."
Films that depict nothingness, shadows and vagueness, either in a visual sense or a moral sense are appreciated in genres such as film noir. As well, travellers and artists are often intrigued by and attracted to vast empty spaces, such as open deserts, barren wastelands or salt flats, and the open sea.
In Eastern cultures
Buddhism
In Buddhism, the realization of emptiness of inherent existence is a "state of pure consciousness” in which the practitioner realizes all particular objects and images to be appearances of the subjective mind. Buddhism, which posits that the ultimate state is a nirvāṇa of peaceful emptiness has one of the most developed philosophical descriptions of emptiness. In an interview, the Dalai Lamastated that tantric meditiation can be used for "heightening your own realization of emptiness or mind of enlightenment". In Buddhist philosophy, attaining a realization of emptiness of inherent existence is key to the permanent cessation of suffering, i.e. liberation.
| “ | Even while an ordinary being, if upon hearing of emptiness great joy arises within again and again, the eyes moisten with tears of great joy, and the hairs of the body stand on end, such a person has the seed of the mind of a complete Buddha; He is a vessel for teachings on thatness, and ultimate truth should be taught to him. After that, good qualities will grow in him. | ” |
—Chandrakirti, Guide to the Middle Way, vv. 6:4-5 | ||
The Dalai Lama argues that tantric yoga trainees needs to realize the emptiness of inherent existence before they can go on to the "highest yoga tantra initiation"; realizing the emptiness of inherent existence of the mind is the "fundamental innate mind of clear light, which is the subtlest level of the mind", where all "energy and mental processes are withdrawn or dissolved", so that all that appears to the mind is "pure emptiness". As well, emptiness is "linked to the creative Void, meaning that it is a state of complete receptivity and perfect enlightenment", the merging of the "ego with its own essence", which Buddhists call the "clear light".
In Ven. Thubten Chodron’s 2005 interview with Lama Zopa Rinpoche, the lama noted that we "...ordinary beings who haven’t realized emptiness don’t see things as similar to illusions", and we do not "realize that things are merely labeled by mind and exist by mere name". He argues that "when we meditate on emptiness, we drop an atom bomb on this [sense of a] truly existent I" and we realize that "what appears true... isn’t true". By this, the lama is claiming that what we think is real — our thoughts and feelings about people and things — "exists by being merely labeled". He argues that meditators who attain knowledge of a state of emptiness are able to realize that their thoughts are merely illusions from labelling by the mind
Emptiness is a key concept in Buddhist philosophy, or more precisely, in the ontology of Mahayana Buddhism. The phrase "form is emptiness; emptiness is form" is perhaps the most celebrated paradox associated with Buddhist philosophy. It is the supreme mantra. The expression originates from the Prajna Paramita Hridaya Sutra, commonly known as the Heart Sutra, which contains the philosophical essence of about six hundred scrolls making up the Maha Prajna Paramita. The Heart Sutra is the shortest text in this collection. It belongs to the oldest Mahayana texts and presumably originated in India around the time of Jesus Christ.
Homage to the Perfection of Wisdom, the Lovely, the Holy!
Avalokita, The Holy Lord and Bodhisattva, was moving in the deep course of the Wisdom which has gone beyond. He looked down from on high, He beheld but five heaps, and he saw that in their own-being they were empty.
Here, Sariputra, form is emptiness and the very emptiness is form; emptiness does not differ from form, form does not differ from emptiness; whatever is form, that is emptiness, whatever is emptiness, that is form, the same is true of feelings, perceptions, impulses and consciousness.
Here, Sariputra, all dharmas are marked with emptiness; they are not produced or stopped, not defiled or immaculate, not deficient or complete.
Therefore, Sariputra, in emptiness there is no form, nor feeling, nor perception, nor impulse, nor consciousness; No eye, ear, nose, tongue, body, mind; No forms, sounds, smells, tastes, touchables or objects of mind; No sight-organ element, and so forth, until we come to: No mind-consciousness element; There is no ignorance, no extinction of ignorance, and so forth, until we come to: there is no decay and death, no extinction of decay and death. There is no suffering, no origination, no stopping, no path. There is no cognition, no attainment and non-attainment.
Therefore, Sariputra, it is because of his non-attainment that a Bodhisattva, through having relied on the Perfection of Wisdom, dwells without thought-coverings. In the absence of thought-coverings he has not been made to tremble, he has overcome what can upset, and in the end he attains to Nirvana.
All those who appear as Buddhas in the three periods of time fully awake to the utmost, right and perfect Enlightenment because they have relied on the Perfection of Wisdom.Therefore one should know the prajnaparamita as the great spell, the spell of great knowledge, the utmost spell, the unequalled spell, allayer of all suffering, in truth - for what could go wrong? By the prajnaparamita has this spell been delivered. It runs like this:
Gone, gone, gone beyond, gone altogether beyond, O what an awakening, all-hail!
Translations and commentary.
According to Buddhist scholars, the dialogue between Avalokiteshvara and Sariputra is inspired by the Buddha. This is to say it occurs spontaneously without the speaker's intention. The content of the conversation is determined entirely by the power of the Buddha's concentration. The bodhisattva Avalokiteshvara represents the idea of perfect universal wisdom, while Sariputra is regarded as one of the Buddha's closest and brightest disciples. The dialogue takes place at the Vulture Peak near the ancient city of Rajgaya where the Buddha and his community of monks stayed. Sariputra requests Avalokiteshvara to instruct him on the practice of the perfection of wisdom, which means prajnaparamita in Sanskrit.
The perfection of wisdom refers to the wisdom that directly and intuitively understands the ultimate nature of phenomena. Sariputra answers with the profound words, "Emptiness is form; form is emptiness," and proceeds to state the emptiness of the five aggregates (skandhas), the emptiness of the teachings (dharmas), and the emptiness of all phenomena. The sutra ends with the celebrated mantra "gate gate paragate parasamgate bodhi svaha" which can be translated with "Homage to the awakened mind which has gone over to the other shore." The one who has gone over means: the enlightened one, who has done away with views, ideas, and perceptions and who looks upon reality without any obstructions of mind.
What is emptiness?
The Buddhist notion of emptiness is often misunderstood as nihilism. Unfortunately, 19th century Western philosophy has contributed much to this misconstruction. Meanwhile Western scholars have acquired enough knowledge about Buddhism to realise that this view is far from accurate. The only thing that nihilism and the teaching of emptiness can be said to have in common is a sceptical outset. While nihilism concludes that reality is unknowable, that nothing exists, that nothing meaningful can be communicated about the world, the Buddhist notion of emptiness arrives at just the opposite, namely that ultimate reality is knowable, that there is a clear-cut ontological basis for phenomena, and that we can communicate and derive useful knowledge from it about the world. Emptiness (sunyata) must not be confused with nothingness. Emptiness is not non-existence and it is not non-reality.
What is emptiness then? To understand the philosophical meaning of this term, let's look at a simple solid object, such as a cup. How is a cup empty? We usually say that a cup is empty if it does not contain any liquid or solid. This is the ordinary meaning of emptiness. But, is the cup really empty? A cup empty of liquids or solids is still full of air. To be precise, we must therefore state what the cup is empty of. Can a cup be empty of all substance? A cup in a vacuum does not contain any air, but it still contains space, light, radiation, as well as its own substance. Hence, from a physical point of view, the cup is always full of something. Yet, from the Buddhist point of view, the cup is always empty. The Buddhist understanding of emptiness is different from the physical meaning. The cup being empty means that it is devoid of inherent existence.
What is meant with non-inherent existence? Is this to say that the cup does not ultimately exist? - Not quite. - The cup exists, but like everything in this world, its existence depends on other phenomena. There is nothing in a cup that is inherent to that specific cup or to cups in general. Properties such as being hollow, spherical, cylindrical, or leak-proof are not intrinsic to cups. Other objects which are not cups have similar properties, as for example vases and glasses. The cup's properties and components are neither cups themselves nor do they imply cupness on their own. The material is not the cup. The shape is not the cup. The function is not the cup. Only all these aspects together make up the cup. Hence, we can say that for an object to be a cup we require a collection of specific conditions to exist. It depends on the combination of function, use, shape, base material, and the cup's other aspects. Only if all these conditions exist simultaneously does the mind impute cupness to the object. If one condition ceases to exist, for instance, if the cup's shape is altered by breaking it, the cup forfeits some or all of its cupness, because the object's function, its shape, as well as the imputation of cupness through perception is disrupted. The cup's existence thus depends on external circumstances. Its physical essence remains elusive.
Those readers who are familiar with the theory of ideas of the Greek philosopher Plato will notice that this is pretty much the antithesis to Plato's idealism. Plato holds that there is an ideal essence of everything, e.g. cups, tables, houses, humans, and so on. Perhaps we can give Plato some credit by assuming that the essence of cups ultimately exists in the realm of mind. After all, it is the mind that perceives properties of an object and imputes cupness onto one object and tableness onto another. It is the mind that thinks "cup" and "table". Does it follow that the mind is responsible for the existence of these objects? - Apparently, the mind does not perceive cups and tables if there is no visual and tactile sensation. And, there cannot be visual and tactile sensation if there is no physical object. The perception thus depends on the presence of sensations, which in turn relies on the presence of the physical object. This is to say that the cup's essence is not in the mind. It is neither to be found in the physical object. Obviously, its essence is neither physical nor mental. It cannot be found in the world, not in the mind, and certainly not in any heavenly realm, as Plato imagined. We must conclude that the objects of perception have therefore no inherent existence.
If this is the case for a simple object, such as a cup, then it must also apply to compound things, such as cars, houses, machines, etc. A car, for example, needs a motor, wheels, axles, gears, and many other things to work. Perhaps we should consider the difference between man-made objects, such as cups, and natural phenomena, such as earth, plants, animals, and human beings. One may argue that lack of inherent existence of objects does not imply the same for natural phenomena and beings. In case of a human being, there is a body, a mind, a character, a history of actions, habits, behaviour, and other things we can draw upon to describe a person. We can even divide these characteristics further into more fundamental properties. For example, we can analyse the mind and see that there are sensations, cognition, feelings, ideas. Or, we can analyse the brain and find that there are neurons, axons, synapses, and neurotransmitters. However, none of these constituents describe the essence of the person, the mind, or the brain. Again, the essence remains elusive.
Emptiness of the five skandhas.
The Heart Sutra expresses the same idea by stating the emptiness of the five skandhas, i.e. the emptiness of the body, sensations, perceptions, mental formations, and consciousness. The five skandhas are commonly translated into English as the five aggregates. According to the Buddha, these aggregates are what constitutes a person. As adumbrated above, it is possible to deconstruct the five skandhas in the same manner as objects. However, this method of deconstruction assumes a third person perspective. It analyses phenomena perceived as external to the observer. When we talk about the essence of a person, the situation is slightly different, because we talk indirectly about ourselves. It may therefore be more intuitive to look at things from a first person perspective. The first person perspective allows us to make statements about the internal state of the observer thereby producing self-reference. What is observed is the observer. Perhaps this will lead to new insights into the essence of mind and body.
First, let's look at experience. What exactly is experience? - Obviously, we experience objects and phenomena through the senses. This is one form of experience. We also experience feelings, moods, thoughts, and emotions. The former can be called sensory experiences and the latter mental experiences. Upon contemplating the distinction we may find that there is no clear boundary between sensory and mental experience. As soon as we perceive a physical object, for example an apple, the corresponding mental experiences are immediately triggered. First, we think "apple". This is identification. Following this thought, a number of things we associate with apples may come to mind, for example "sweet, edible, green, red, healthy, delicious, juicy," and so on. These associations may be followed by the build-up of a desire to touch or to taste the apple. Once the desire is strong enough, our thoughts may be occupied with consuming the apple and we start weighing the merits and demerits of consuming the apple now or later. All these mental experiences are caused by, yet independent of the original object. If the apple is withdrawn, the memory of it may be able to sustain the chain of thoughts for a short time, yet it will eventually cease.
We can infer that mental experience requires sensory experience, or respectively memory of sensory experience. Sensory experience in turn requires the body. If we carried through a thought experiment and examined whether each of the skandhas is able to exist without the other four, we would find that this is not possible. The latter four aggregates all depend on the body. Without the brain and the nervous system there is no consciousness, no sensation, no perception, and no mental formations. On the other hand, we cannot imagine the body to function without the mind. The body and the mind depend on each other, the five skandhas depend on each other. We must conclude that none of the skandhas is fundamental. Body, sensations, perceptions, mental formations, and consciousness are interrelated. Experiences emerge from the interaction of all five skandhas. Just as objects, experiences are conditioned by the interplay of multiple phenomena. Experience has no inherent existence either.
Our brain is advanced enough to reflect on its experiences. By means of self-reference we can direct mental activity onto itself. For example, we can think about thought. From this arises a division between subject, percept, and object. The percept is the mental impression, the subject is the owner of it, the thinker, and the object is that which causes the mental impression. This threefold division seems so natural to us that it is reflected in the grammar of most human languages. We perceive the separation of subject, percept, and object as real, because mind attributes an owner to experience and thought. This owner is the "self", the subject, the centre of consciousness, the supposed psychological entity. Surprisingly, this entity remains completely undetectable. Body, feeling, perception, and mental formations are not the self. Consciousness is not the self either, otherwise it would follow that the self temporarily ceases to exist during unconscious states, for example during deep sleep.
We might ask how "self" can be independent of a surrounding world. Is it possible for the self to exist in a mental vacuum, a world devoid of sense impressions, thought, and mental images? Would the self not literally run out of fuel if it lacked thoughts and contents to identify itself with or to set itself apart from? It seems there is no basis an independent entity. It seems more that the self is an emergent phenomenon arising from the application of complex interpretative schemes to perception. In particular, it arises from the conceptual division between subject, object, and percept. Through introspection it is possible to realise that the "self" is not fundamental. It is created by the mind through identification and discernment. The "self" is itself a mental formation - a product of mind. It is therefore empty of inherent existence.
The emptiness of matter.
The ancient Greeks believed that matter is composed of indivisible small elements with certain characteristics, such as the characteristics of earth, water, air, and fire. They called these elements atoms and they held that atoms were solid and fundamental, like microscopic billiard balls. Ernest Rutherford invalidated the billiard ball theory by conducting an experiment, which suggested that atoms have an internal structure. He established that atoms have a nucleus containing most of its mass and that electrons orbit the nucleus. Moreover, he established that the nucleus of an atom is only about one ten-thousandth of the diameter of the atom itself, which means that 99.99% of the atom's volume consists of empty space. This is the first manifestation of emptiness at the subtle level of matter. Not long after Rutherford's discovery, physicists found out that the nucleus of an atom likewise has an internal structure and that the protons and neutrons making up the nucleus are composed of even smaller particles, which they named quarks after a poem of James Joyce. Interestingly, quarks are hypothesised as geometrical points in space, which implies that atoms are essentially empty. This is the second manifestation of emptiness at the subtle level of matter.
The terms "quarks" and "points in space" still suggest something solid, since they can be imagined as irreducible mass particles. Yet, quantum field theory does away even with this finer concept of solidity by explaining particles in the terms of field properties. Quantum electrodynamics (QED) has produced an amazingly successful theory of matter by combining quantum theory, classical field theory, and relativity. No discrepancies between the predictions of QED and experimental observation have ever been found. According to QED, subatomic particles are indistinguishable from fields, whereas fields are basically properties of space. In this view, a particle is a temporary local densification of a field, which is conditioned by the properties of the surrounding space. Ergo, matter is not different from space. This is the third manifestation of emptiness at the subtle level of matter.
An important class of phenomena in the subatomic world is defined by the various interactions between particles. In fact, there is no clear distinction between the notions of phenomena, particles, and interactions, although interactions can be described clearly in mathematical terms. For example, there are interactions between free electrons by means of photons that result in an observed repelling force. There are also interactions between the quarks of a nucleon by means of mesons, interactions between the neighbouring neutrons or protons, interactions between nucleus and electrons, and interactions between the atoms of molecules. The phenomena themselves -the nucleon, the nucleus, the atom, the molecule- are sufficiently described by these interactions, meaning by the respective equations, which implies that interactions and phenomena are interchangeable terms. Interestingly, the interrelations of quantum physics do not describe actual existence. Instead they predict the potential for existence. A manifest particle, such as an electron, cannot be described in terms of classical mechanics. It exists as a multitude of superposed "scenarios", of which one or another manifests only when it is observed, i.e. upon measurement. Therefore, matter does not inherently exist. It exists only as interrelations of "empty" phenomena whose properties are determined by observation. This is the fourth manifestation of emptiness at the subtle level of matter.
Emptiness in mathematics.
In mathematics the notion of emptiness finds expression in the number zero, as well as in contemporary set theory. The concept of zero was discovered in India prior to the sixth century A.D. The "Arabic" number system we use today is neither Arabic nor Greek in origin. In fact, the digits 0123456789 go back to India where they were first created. The ancient Indian number system distinguished itself from other positional systems by virtue of allowing the use of zero as a legitimate number. Interestingly, the number zero did not exist in Greek mathematics, because the Greeks were essentially geometricians and had no use for the mathematical concept of a non-entity, neither did it exist in Egyptian mathematics. The Arabs, who encountered the Indian number system during their early conquests in India, found it superior to their own traditional system which used letters, and thus adapted it to develop Islamic mathematics. The Arabic word for zero is "sifr", meaning "empty." In the 12th century, the Italian mathematician Leonardo Pisano Fibonacci studied Arabian algebra and introduced the Hindu-Arabic numerals to Europe. The word "sifr" thus became "zephirum" in Latin and "zero" in English.
In the ancient Indian context, the number zero did not originally refer to nothingness or nullity. The Sanskrit word for zero is shunya, which means "puffed up, hollow, empty." The zero stands for emptiness suggestive of potentiality. The discovery of the mathematical zero concurred with the emptiness of prajna-intuition in India around 200 BC. Both signify polar opposition between being and nonbeing. Zero is that which contains all possible polarised pairs such as (+1, -1), (+2, -2), etc. It is the collection of all mutually cancelling pairs of forward and backward movements. Put it another way, zero is fundamental to all existence. Because of it, everything is possible. Zero is the additive identity, the focal point of all numbers; without it, numbers cannot be created. India alone, among the great civilisations of antiquity, was able to fathom the depth of emptiness and willing to accept its consequences in mathematics.
Following the introduction of the Hindu-Arabic numerals into Western culture, zero became a number that was used in calculations like any other number. Consequently, it lost some part of its original meaning, namely the part that suggests potentiality. Today, most mathematicians do not associate the notion of emptiness with zero, but with the empty set, which is a construct of set theory. A set is a collection of objects or numbers. For example, the set { 1, 2, 3, 5, 8 } is a set of numbers containing five elements; it is therefore said to have the "cardinality" of 5. The empty set { } is a collection that contains nothing and has the cardinality 0. The mathematician John von Neumann (1923) invented a method, known as von Neumann hierarchy, which can be employed to generate the natural numbers from the empty set as follows:
| Step 0: | { } | (empty set) |
| Step 1: | { { } } | (set containing the empty set) |
| Step 2: | { { }, { { } } } | (set containing previous two sets) |
| Step 3: | { { }, { { } } , { { }, { { } } } } | (set containing previous three sets) |
| Step 4: | { { }, { { } } , { { }, { { } } }, { { }, { { } } , { { }, { { } } } } } | (etc.) |
This sequence is obtained by iterating a functor that creates a new set from the union of the preceding two sets, thus generating sets with the cardinalities 0, 1, 2, 3, 4, ad infinitum. In less mathematical terms, the principle can be described as follows: Beginning with emptiness (step 0), we observe emptiness. Through the act of observing we create an entity containing emptiness (step 1). Now we perceive emptiness, as well as an entity. From the combination of the former two we create another entity by observation, which is different from the first entity (step 2). This process is repeated again and again. Interestingly, if we define suitable operations on the obtained sets based on union and intersection, the cardinalities of the resulting sets behave just like natural numbers being added and subtracted. The sequence is therefore isomorphic to the natural numbers - a stunningly beautiful example of something from nothing.
Emptiness of emptiness.
In The Art of Living (2001) the 14th Dalai Lama says, "As your insight into the ultimate nature of reality is deepened and enhanced, you will develop a perception of reality from which you will perceive phenomena and events as sort of illusory, illusion-like, and this mode of perceiving reality will permeate all your interactions with reality. [...] Even emptiness itself, which is seen as the ultimate nature of reality, is not absolute, nor does it exist independently. We cannot conceive of emptiness as independent of a basis of phenomena, because when we examine the nature of reality, we find that it is empty of inherent existence. Then if we are to take that emptiness itself is an object and look for its essence, again we will find that it is empty of inherent existence. Therefore the Buddha taught the emptiness of emptiness."
The teachings on emptyness (Sanskrit sunyata or shunyata) find their most articulate development in the Kadampa branch of Mahayana Buddhism (Madhyamika Prasangika philosophy). To the Kadampa Buddhist nothing exists 'inherently' or 'from its own side'. All phenomena exist in dependence on three things -
And the sentient mind is NOT a physical construct or epiphenomenon of matter . The mind is clear and formless and has the power to know phenomena in a qualitative way [KELSANG GYATSO 1992], and hence give meaning to them.
To Kadampa Buddhists all things are totally empty of any defining essence. Consequently all things have no fixed identity ('inherent existence') and are are in a state of impermanence - change and flux - constantly becoming and decaying. Not only are all things constantly changing, but if we analyse any phenomenon in enough detail we come to the conclusion that it is ultimately unfindable, and exists purely by definitions in terms of other things - and one of those other things is always the mind which generates those definitions.
Kadampa Buddhism regards the persistent delusion of 'inherent existence' as a major obstacle to spiritual development, and the root of many other damaging delusions. One of these delusions is the materialist belief in an objective reality existing independently of mind. By asserting that the universe exists inherently as a brute fact, materialism denies that subjective experience has any relevance to or influence on the universe, or indeed any existence at all.
Nagasena said this was because the chariot had no power to define itself from its own side. Nor was there any ideal chariot form 'in the sky' which engaged and disengaged with the timber at definite stages of assembly and disassembly.
Milinda's mind was the only thing that could make the distinction between vehicle and firewood. And there were no logical rules, stepwise procedures or decision trees for Milinda to decide when to cease imputing one thing and impute another.
As with chariots, so with cars. Everyone knows what a car is. A car is an assembly of parts. But what makes those parts into a car is surprisingly difficult to pin down. At what stage on the production line do the components finally become a car?
Does it temporarily cease to be a car when it's in for repairs and the gearbox is several yards away from the rest of the vehicle? Is my car still a car when I wake up one morning to find it supported on bricks with the wheels missing?
Or, could I say that the essential feature of a car is that it performs the functions of a car? So does it cease to be a car when it won't start? And does it return to the state of being a car when I cure the problem by spraying the electrics with moisture repellent? Does the true essence of being a car therefore reside in an aerosol can?
We find it more difficult to accept the natural things in the world, such as flowers and trees are dependent upon our minds. A rose would smell as sweet by any other name. A rose bush is a rose bush is a rose bush, and is different in its inherent nature from a plum or a cherry tree. There is no continuum between these three species and thus no necessity for our mind to make a judgment of the borderline. But is this really the case?
The conclusion that all things are empty of inherent existence and appear only in dependence on our minds is not an obvious truth. So deeply ingrained is the idea of inherent existence and authority in Western culture that even when we have analysed all things as dependent on causes, and dependent on parts, we still hold back from the most subtle truth of dependence on mind. We think there ought to be 'something out there', or someone 'authoritative' who prevents the real world from being so much dependent upon our judgement. On first meeting teachings on emptiness the western mind often suspects it is the victim logical trickery or mere playing with words. Fortunately it is possible to demonstrate the true and all-pervasive nature of emptiness by examining the mode of existence of fundamental particles, the building blocks of all things in the material universe.
Geshe Kelsang Gyatso [KELSANG GYATSO 1995] states that there are three levels of dependent relationship:
(1) Gross dependent relationship - causality - the dependence of phenomena on their causes.
(2) Subtle dependent relationship - structure - the dependence of phenomena on their perceived parts (including aspects, divisions and directions).
(3) Very subtle dependent relationship - the dependence of phenomena on imputation by mind.
All functioning things exist in these three ways. The very subtle dependent relationship - existence by the mind's imputation - is the most difficult one to understand, especially since for most ordinary phenomena this view of existence is masked by the two grosser levels of existence. This subtle mode of existence is always present, but only becomes apparent in those circumstances where the grosser levels do not dominate.
If we have problems with the terminology of gross and subtle, we may think of this as the degree of apparent objectivity of dependent relationship . The most gross is the most objective and the very subtle is the most subjective (or participatory) type of dependent relationship.
The existence of a thing in dependence of its causes (except in the special case where we were involved in making it ) appears totally objective and does not require our participation. The causes of a car are the geological processes which produced coal, iron and copper ores. Then the miners, metalworkers, designers, component manufacturers and assembly line workers who transformed the raw material into the finished product. Unless we happen to work in one of these industries, the causal mode of existence does not depend on our participation.
Existence in dependence on parts is more subjective. We may view a car as composed of a chassis, an engine and four wheels. Or we may take a more detailed view with the engine being seen as pistons, cylinder-head, carburettor etc. These too can be analysed into subcomponents, all the way down through atoms of iron and carbon, to the fundamental particles such as protons, electrons and the photons which shine from the headlamps.
Our perception of dependence upon parts is very much determined by how we choose to subdivide the whole. The mind has to participate by applying analytical effort to generate the view of existence in dependence upon parts.
It is important to emphasise that the mathematical equations of quantum physics do not describe actual existence - they describe potential for existence. Working out the equations of quantum mechanics for a system composed of fundamental particles produces a range of potential locations, values and attributes of the particles which evolve and change with time. But for any system only one of these potential states can become real, and - this is the revolutionary finding of quantum physics - what forces the range of the potentials to assume one value is the act of observation. Matter and energy are not in themselves phenomena, and do not become phenomena until they interact with the mind.
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