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Thursday, March 26, 2026

Buddhism and psychology

From Wikipedia, the free encyclopedia
Buddhist monk Barry Kerzin participating in neuropsychology meditation research with EEG

Buddhism includes an analysis of human psychology, emotion, cognition, behavior and motivation along with therapeutic practices. Buddhist psychology is embedded within the greater Buddhist ethical and philosophical system, and its psychological terminology is colored by ethical overtones. Buddhist psychology has two therapeutic goals: the healthy and virtuous life of a householder (samacariya, "harmonious living") and the ultimate goal of nirvana, the total cessation of dissatisfaction and suffering (dukkha).

Buddhism and the modern discipline of psychology have multiple parallels and points of overlap. This includes a descriptive phenomenology of mental states, emotions and behaviors as well as theories of perception and unconscious mental factors. Psychotherapists such as Erich Fromm have found in Buddhist enlightenment experiences (e.g. kensho) the potential for transformation, healing and finding existential meaning. Some contemporary mental-health practitioners such as Jon Kabat-Zinn find ancient Buddhist practices (such as the development of mindfulness) of empirically therapeutic value, while Buddhist teachers such as Jack Kornfield see Western psychology as providing complementary practices for Buddhists.

Interaction

The establishment of Buddhism predates the field of psychology by over two millennia; thus, any assessment of Buddhism in terms of psychology is necessarily a modern invention. One of the first such assessments occurred when British Indologists started translating Buddhist texts from Pali and Sanskrit. The modern growth of Buddhism in the West and particularly the development of Buddhist modernism worldwide has led to the comparing and contrasting of European psychology and psychiatry with Buddhist theory and practice. According to Austrian psychologist Gerald Virtbauer, the contact of Buddhism and European Psychology has generally followed three main approaches:

  1. The presentation and exploration of parts of Buddhist teachings as a Psychology and psychological method for analyzing and modifying human experience.
  2. The integration of parts of the Buddhist teachings in already existing psychological or psychotherapeutic lines of thought (such as in mindfulness-based cognitive therapy and in acceptance and commitment therapy).
  3. Buddhist integration of Western psychological and social science knowledge into the Buddhist system (e.g., Buddhist modernism, Vipassana movement)

Psychology in the Tripitaka

The earliest Buddhist writings are preserved in three-part collections called Tipitaka (Pali; Skt. Tripitaka). The first part, the Sutta Pitaka contains a series of discourses attributed to the Buddha containing much psychological material.

A central feature of Buddhist psychology is its methodology which is based on personal experience through introspection and phenomenological self observation. According to the Buddha while initially unreliable, one's mind can be trained, calmed and cultivated so as to make introspection a refined and reliable method. This methodology is the foundation for the personal insight into the nature of the mind the Buddha is said to have achieved. While introspection is a key aspect of the Buddhist method; observation of a person's behavior is also important.

Perception and the self

Figure 1: The Pali Canon's Six Sextets:
 
  sense bases (āyatana)  
 
  feelingvedanā    
 
  cravingtaṇhā    
  "internal"
sense
organs
<–> "external"
sense
objects
 
 
contact (phassa)
   
consciousness (viññāṇa)
 
 
 
  1. The six internal sense bases are the eye, ear,
    nose, tongue, body & mind.
  2. The six external sense bases are visible forms,
    sound, odor, flavors, touch & mental objects.
  3. Sense-specific consciousness arises dependent
    on an internal & an external sense base.
  4. Contact is the meeting of an internal sense
    base, external sense base & consciousness.
  5. Feeling is dependent on contact.
  6. Craving is dependent on feeling.
 Source: MN 148 (Thanissaro, 1998)    diagram details
 The Five Aggregates (pañcakkhandha)
according to the Pali Canon.
 
 
form (rūpa)
  4 elements
(mahābhūta)
 
 
   
    contact
(phassa)
    
 
consciousness
(viññāna)

 
 
 
 
 


 
 
 
  mental factors (cetasika)  
 
feeling
(vedanā)

 
 
 
perception
(sañña)

 
 
 
formation
(saṅkhāra)

 
 
 
 
 Source: MN 109 (Thanissaro, 2001)  |  diagram details

The early Buddhist texts outline a theory of perception and cognition based on the ayatanas (sense bases, sense media, sense spheres) which are categorized into sense organs, sense objects and awareness. The contact between these bases leads to a perceptual event as explained in Buddhist texts: "when the eye that is internal is intact and external visible forms come within its range and when there is an appropriate act of attention on the part of the mind, there is the emergence of perceptual consciousness."

The usual process of sense cognition is entangled with what the Buddha terms "papañca" (conceptual proliferation), a distortion and elaboration in the cognitive process of the raw sensation or feeling (vedana).  This process of confabulation feeds back into the perceptual process itself. Therefore, perception for the Buddhists is not just based on the senses but also on our desires, interests and concepts and hence it is in a way unrealistic and misleading. The goal of Buddhist practice is then to remove these distractions and gain knowledge of things as they are (yatha-bhuta ñānadassanam).

This psycho-physical process is further linked with psychological craving, manas (conceit) and ditthi (dogmas, views). One of the most problematic views according to the Buddha, is the notion of a permanent and solid Self or 'pure ego'. This is because in early Buddhist psychology, there is no fixed self (atta; Sanskrit atman) but the delusion of self and clinging to a self concept affects all one's behaviors and leads to suffering. For the Buddha there is nothing uniform or substantial about a person, only a constantly changing stream of events or processes categorized under five categories called skandhas (heaps, aggregates), which includes the stream of consciousness (Vijñāna-sotam). False belief and attachment to an abiding ego-entity is at the root of most negative emotions.

The psychologist Daniel Goleman states:

The notion of an "empty self" posits that there is no "CEO of the mind," but rather something like committees constantly vying for power. In this view, the "self" is not a stable, enduring entity in control, but rather a mirage of the mind—not actually real, but merely seemingly so. While that notion seems contrary to our own everyday experience, it actually describes the deconstruction of self that cognitive neuroscience finds as it dissects the mind (most famously, Marvin Minsky's "society of mind"). So the Buddhist model of the self may turn out to fit the data far better than the notions that have dominated Psychological thinking for the last century.

The Buddha saw the human mind as a psycho-physical complex, a dynamic continuum called namarupa. Nama refers to the non-physical elements and rupa to the physical components. According to Padmasiri de Silva, "The mental and physical constitutents form one complex, and there is a mutual dependency of the mind on the body and of the body on the mind."

Motivation and emotion

Buddha's theory of human motivation is based on certain key factors shared by all human beings and is primarily concerned with the nature of human dissatisfaction (dukkha) and how to dispel it. In the suttas, human beings are said to be motivated by craving (tanha, literally 'thirst') of three types:

  • Kama tanha - craving for sensory gratification, sex, novel stimuli, and pleasure.
  • Bhava tanha - craving for survival or continued existence, also includes hunger and sleep as well as desire for power, wealth and fame.
  • Vibhava tanha - craving for annihilation, non-existence, also associated with aggression and violence towards oneself and others

These three basic drives have been compared to the Freudian drive theory of libido, ego, and thanatos respectively (de Silva, 1973). The arousal of these three cravings is derived from pleasant or unpleasant feelings (vedana), reactions to sense impressions with positive or negative hedonic tone. Cravings condition clinging or obsession (upadana) to sense impressions, leading to a vicious cycle of further craving and striving, which is ultimately unsatisfactory and stressful.

The suttas also enumerate three "unwholesome roots" (akusala mulas) of suffering, negative emotions and behavior: raga (passion or lust); dosa (hatred or malice); and moha (delusion, or false belief). These are opposed by three wholesome roots: liberality, kindness and wisdom.

Feeling or affective reaction (vedana) is also at the source of the emotions and it is categorized in various ways; as physical or mental, as pleasant, unpleasant or neutral; and as rooted in the different senses. The Buddha also makes a distinction between worldly and unworldly or spiritual feelings, seeing spiritual feelings as superior. Out of these basic immediate reactions as well as our situational context, conceptualization and personal history arise more complex emotions, such as fear, hatred, hope or despair. The Buddhist theory of emotions also highlights the ethical and spiritual importance of positive emotions such as compassion and friendliness as antidotes for negative emotions and as vehicles for self development.

According to Padmasiri de Silva, in the early Buddhist texts emotions can be divided into four groups: "those which obstruct the ideal of the virtuous life sought by the layman, emotions that interfere with the recluse seeking the path of perfection, emotions enhancing the layman's ideal of the virtuous life and emotions developed by the recluse seeking the path of perfection."

The Unconscious

The early Buddhist texts such as the Pali Canon present a theory about latent mental tendencies (Anusaya, "latent bias", "predisposition", "latent disposition") which are pre-conscious or non-consciousThese habitual patterns are later termed "Vāsanā" (impression) by the later Yogacara Buddhists and were held to reside in an unconscious mental layer. The term "fetter" is also associated with the latent tendencies.

A later Theravada text, the Abhidhammattha-sangaha (11th-12th century) says: "The latent dispositions are defilements which 'lie along with' the mental process to which they belong, rising to the surface as obsessions whenever they meet with suitable conditions" (Abhs 7.9). The Theravada school also holds that there is a subconscious stream of awareness termed the Bhavanga.

Another set of unconscious mental factors responsible for influencing one's behavior include the asavas (Sanskrit asrava, "influx, canker, inflows"). These factors are said to "intoxicate" and "befuddle" the mind. The Buddha taught that one had to remove them from the mind through practice in order to reach liberation. The asavas are said to arise from different factors: sensuality, aggression, cruelty, body, and individuality are some of the factors given.

The Yogacara school of Mahayana Buddhism (starting from the 3rd to 5th century CE) extended these ideas into what has been called a Buddhist theory of the Unconscious mind. This concept was termed the ālaya-vijñāna (the foundation consciousness) which stores karmic seeds (bija) and undergoes rebirth. This theory was incorporated into a wider Yogacara theory of the Eight Consciousnesses and is also held in Tibetan Buddhism.

Self development and cognitive behavioral practices

Meditating Buddhist monk in Khao Luang.

According to Padmal de Silva "Buddhist strategies represent a therapeutic model which treats the person as his/her agent of change, rather than as the recipient of externally imposed interventions." Silva argues that the Buddha saw each person responsible for their own personal development and considers this as being similar to the humanistic approach to psychology. Humanistic psychotherapy places much emphasis on helping the client achieve self-actualization and personal growth (e.g. Maslow).

Since Buddhist practice also encompasses practical wisdom, spiritual virtues and morality, it cannot be seen exclusively as another form of psychotherapy. It is more accurate to see it as a way of life or a way of being (Dharma).

Personal development in Buddhism is based upon the Noble Eightfold Path which integrates ethics, wisdom or understanding (pañña) and psychological practices such as meditation (bhavana, cultivation, development). Self-actualization in traditional Buddhism is based on the ideas of Nirvana and Buddhahood. The highest state a human can achieve (an Arahant or a Buddha) is seen as being completely free from any kind of dissatisfaction or suffering, all negative mental tendencies, roots and influxes have been eliminated and there are only positive emotions like compassion and loving-kindness present.

Buddhist meditation is of two main types: Samatha is meant to calm and relax the mind, as well as develop focus and concentration by training attention on a single object; Vipassana is a means to gain insight or understanding into the nature of the mental processes and their impermanent, stressful and self-less qualities through the application of continuous and stable mindfulness and comprehension (Sampajañña). Though the ultimate goal of these practices are nirvana, the Buddha stated that they also bring mundane benefits such as relaxation, good sleep and pain reduction.

Buddhist texts also contain mental strategies of thought modification which are similar to cognitive behavioral therapy techniques. A comparison of these systems of cognitive behavioral modification has been discussed by professor William Mikulas and Padmal de Silva.

According to Padmal de Silva these similarities include: "fear reduction by graded exposure and reciprocal inhibition; using rewards for promoting desirable behavior; modelling for inducing behavioral change; the use of stimulus control to eliminate undesirable behavior; the use of aversion to eliminate undesirable behavior; training in social skills; self-monitoring; control of intrusive thoughts by distraction, switching/stopping, incompatible thoughts, and by prolonged exposure to them; intense, covert, focusing on the unpleasant aspects of a stimulus or the unpleasant consequences of a response, to reduce attachment to the former and eliminate the latter; graded approach to the development of positive feelings towards others: use of external cues in behavior control; use of response cost to aid elimination of undesirable behavior; use of family members for carrying out behavior change programs; and cognitive-behavioral methods—for example, for grief."

An important early text for these cognitive therapeutic methods is the Vitakkasanthana Sutta (MN 20) (The Removal of Distracting Thoughts) and its commentary, the Papancasudani. For removing negative or intrusive thoughts, the Buddha recommended five methods in this sutta:

  1. Focus on an opposite or incompatible thought or object.
  2. Ponder on the perils and disadvantages of the thought, its harmful consequences.
  3. Ignore the thought and distract yourself from it through some other activity.
  4. Reflect on the removal or stopping of the causes of the target thought.
  5. Make a forceful mental effort.

Another recommended technique is from the Satipatthana Sutta, which outlines the practice of mindfulness, which is not just a formal meditation, but a skill of attentive awareness and self monitoring. In developing mindfulness, one is advised to be aware of all thoughts and sensations that arise, even unwanted or unpleasant ones and continuously attend to such thoughts. Eventually, through habituation and exposure, the intensity and unpleasantness of such thoughts will disappear. Buddhist texts also promote the training of positive emotions such as loving-kindness, compassion, empathetic joy and equanimity.

Abnormal psychology

The Pali Canon records that the Buddha distinguished between two kinds of illness (rogo): physical illness (kāyiko rogo) and mental illness (cetasiko rogo). The Buddha attributed mental illness to the arising of mental defilements (Kleshas) which are ultimately based on the unwholesome roots (three poisons) of greed, hatred and confusion. From the perspective of the Buddha, mental illness is a matter of degree, and ultimately, everyone who is not an awakened being is in some sense mentally ill. As the Buddha in the Pali canon states: "those beings are hard to find in the world who can admit freedom from mental disease even for one moment, save only those in whom the asavas are destroyed." Another set of negative qualities outlined by the Buddha are the five hindrances, which are said to prevent proper mental cultivation, these are: sense desire, hostility, sloth-torpor, restlessness-worry and doubt.

According to Edwina Pio, Buddhist texts see mental illness as being mainly psychogenic in nature (rooted mainly in "environmental stress and inappropriate learning").

The Pali canon also describes Buddhist monks (epitomized by the monk Gagga) with symptoms of what would today be called mental illness. An act which is against the monk's code of discipline (Vinaya) committed by someone who was "ummatta" - "out of his mind" was said by the Buddha to be pardonable. This was termed the madmans leave (ummattakasammuti) The texts also assume that this 'madness' can be cured or recovered from, or is at least an impermanent phenomenon, after which, during confession, the monk is considered sane by the sangha once more.

There are also stories of lay folk who show abnormal behavior due to the loss of their loved ones. Other Buddhist sources such as the Milinda Panha echo the theory that madness is caused mainly by personal and environmental circumstances.

Other abnormal behaviors described by the early sources include Intellectual disability, epilepsy, alcoholism, and suicide. Buddhagosa posits that the cause of suicide is mental illness based on factors such as loss of personal relations and physical illness.

Abhidhamma psychology

The third part (or pitaka, literally "basket") of the Tripitaka is known as the Abhidhamma (Pali; Skt. Abhidharma). The Abhidhamma works are historically later than the two other collections of the Tipitaka (3rd century BCE and later) and focus on phenomenological psychology. The Buddhist Abhidhamma works analyze the mind into elementary factors of experience called dharmas (Pali: dhammas). Dhammas are phenomenal factors or "psycho-physical events" whose interrelations and connections make up all streams of human experience. There are four categories of dharmas in the Theravada Abhidhamma: Citta (awareness), Cetasika (mental factors), Rūpa (physical occurrences, material form) and Nibbāna (cessation). Abhidhamma texts are then an attempt to list all possible factors of experience and all possible relationships between them. Among the achievements of the Abhidhamma psychologists was the outlining of a theory of emotions, a theory of personality types, and a psychology of ethical behavior.

Ven. Bhikkhu Bodhi, president of the Buddhist Publication Society, has synopsized the Abhidhamma as follows:

The system that the Abhidhamma Pitaka articulates is simultaneously a philosophy, a psychology, and an ethics, all integrated into the framework of a program for liberation ... The Abhidhamma's attempt to comprehend the nature of reality, contrary to that of classical science in the West, does not proceed from the standpoint of a neutral observer looking outwards towards the external world. The primary concern of the Abhidhamma is to understand the nature of experience, and thus the reality on which it focuses is conscious reality ... For this reason the philosophical enterprise of the Abhidhamma shades off into a phenomenological psychology. To facilitate the understanding of experienced reality, the Abhidhamma embarks upon an elaborate analysis of the mind as it presents itself to introspective meditation. It classifies consciousness into a variety of types, specifies the factors and functions of each type, correlates them with their objects and physiological bases, and shows how the different types of consciousness link up with each other and with material phenomena to constitute the ongoing process of experience.

Buddhism and psychology

Buddhism and psychology overlap in theory and in practice. Since the beginning of the 20th century, four strands of interplay have evolved:

  • descriptive phenomenology: scholars have found in Buddhist teachings a detailed introspective phenomenological psychology (particularly in the Abhidhamma which outlines various traits, emotions and personality types).
  • psychotherapeutic meaning: humanistic psychotherapists have found in Buddhism's non-dualistic approach and enlightenment experiences (such as in Zen kensho) the potential for transformation, healing and finding existential meaning. This connection was explained by a modification of Piaget's theory of cognitive development introducing the process of initiation.
  • clinical utility: some contemporary mental-health practitioners increasingly find ancient Buddhist practices (such as the development of mindfulness) of empirically proven therapeutic value.
  • popular psychology and spirituality: psychology has been popularized, and has become blended with spirituality in some forms of modern spirituality. Buddhist notions form an important ingredient of this modern mix.

Psychology

Caroline A. F. Rhys Davids was one of the first modern Psychologists to conceptualize canonical Buddhist writings in terms of psychology.

The contact between Buddhism and Psychology began with the work of the Pali Text Society scholars, whose main work was translating the Buddhist Pali Canon. In 1900, Indologist Caroline A. F. Rhys Davids published through the Pali Text Society a translation of the Theravada Abhidhamma's first book, the Dhamma Sangani, and entitled the translation, "Buddhist Manual of Psychological Ethics". In the introduction to this seminal work, Rhys Davids praised the sophistication of the Buddhist psychological system based on "a complex continuum of subjective phenomena" (dhammas) and the relationships and laws of causation that bound them (Rhys Davids, 1900, pp. xvi-xvii.). Buddhism's psychological orientation is a theme Rhys Davids pursued for decades as evidenced by her further publications, Buddhist Psychology: An Inquiry into the Analysis and Theory of Mind in Pali Literature (1914) and The Birth of Indian Psychology and its Development in Buddhism (1936).

An important event in the interchange of East and West occurred when American psychologist William James invited the Sri Lankan Buddhist Anagarika Dharmapala to lecture in his classes at Harvard University in December 1903. After Dharmapala lectured on Buddhism, James remarked, "This is the psychology everybody will be studying 25 years from now." Later scholars such as David Kalupahana (The principles of Buddhist psychology, 1987), Padmal de Silva (Buddhism and behaviour modification, 1984), Edwina Pio and Hubert Benoit (Zen and the Psychology of Transformation, 1990) wrote about and compared Buddhism and Psychology directly. Writers in the field of transpersonal psychology (which deals with religious experience, altered states of consciousness and similar topics) such as Ken Wilber also integrated Buddhist thought and practice into their work.

The 1960s and 1970s saw the rapid growth of Western Buddhism, especially in the United States. In the 1970s, psychotherapeutic techniques using "mindfulness" were developed such as Hakomi therapy by Ron Kurtz (1934–2011), possibly the first mindfulness based therapy. Jon Kabat-Zinn's mindfulness-based stress reduction (MBSR) was a very influential development, introducing the term into Western cognitive behavioral therapy practice. Kabat-Zinn's students Zindel V. Segal, J. Mark G. Williams and John D. Teasdale later developed mindfulness-based cognitive therapy (MBCT) in 1987. In the early 2000s Vidyamala Burch and her organization Breathworks developed mindfulness-based pain management (MBPM).

Research by Sarah Lazar et al. (2005) found brain areas that are thicker in practitioners of Insight meditation than control subjects who do not meditate.

More recent work has focused on clinical research of particular practices derived from Buddhism such as mindfulness meditation and compassion development (ex. the work of Jon Kabat-Zinn, Daniel Goleman) and on psycho-therapeutic practices which integrate meditative practices derived from Buddhism. From the perspective of Buddhism, various modern Buddhist teachers such as Jack Kornfield and Tara Brach have academic degrees in psychology.

Applying the tools of modern neuropsychology (EEG, fMRI) to study Buddhist meditation is also an area of integration. One of the first figures in this area was neurologist James H. Austin, who wrote Zen and the Brain (1998). Others who have studied and written about this type of research include Richard Davidson, B. Alan Wallace, Rick Hanson (Buddha's Brain, 2009) and Zoran Josipovic. A recent review of the literature on the Neural mechanisms of mindfulness meditation concludes that the practice "exerts beneficial effects on physical and mental health, and cognitive performance" but that "the underlying neural mechanisms remain unclear."

Japanese psychology

Dr. Shoma Morita (1874–1938)

In Japan, a different strand of comparative thought developed, beginning with the publication, "Psychology of Zen Sect" (1893) and "Buddhist psychology" (1897), by Inoue Enryō (1858–1919). In 1920, Tomosada Iritani (1887–1957) administered a questionnaire to 43 persons dealing with Zen practice, in what was probably the first empirical psychological study of Zen. In the field of psychotherapy, Morita therapy was developed by Shoma Morita (1874-1938) who was influenced by Zen Buddhism.

Koji Sato (1905–1971) began the publication of the journal, Psychologia: An International Journal of Psychology in the Orient in 1957 with the aim of providing a comparative psychological dialogue between East and West (with contributions from Bruner, Fromm, and Jung). In the 1960s, Kasamatsu and Hirai used Electroencephalography to monitor the brains of Zen meditators. This led to the promotion of various studies covering psychiatry, physiology, and psychology of Zen by the Japanese ministry of education which were carried out in various laboratories. Another important researcher in this field, Prof. Yoshiharu Akishige, promoted Zen Psychology, the idea that the insights of Zen should not just be studied but that they should inform psychological practice. Research in this field continues with the work of Japanese psychologists such as Akira Onda and Osamu Ando.

In Japan, a popular psychotherapy based on Buddhism is Naikan therapy, developed from Jōdo Shinshū Buddhist introspection by Ishin Yoshimoto (1916–1988). Naikan therapy is used in correctional institutions, education, to treat alcohol dependence as well as by individuals seeking self development.

Buddhism and psychoanalysis

Buddhism has some views which are comparable to psychoanalytic theory. These include a view of the unconscious mind and unconscious thought processes, the view that unwholesome unconscious forces cause much of human suffering and the idea that one may gain insight into these thought processes through various practices, including what Freud called "evenly suspended attention." A variety of teachers, clinicians and writers such as D.T. Suzuki, Carl Jung, Erich Fromm, Alan Watts, Tara Brach, Jack Kornfield and Sharon Salzberg have attempted to bridge and integrate psycho-analysis and Buddhism. British barrister Christmas Humphreys has referred to mid-twentieth century collaborations between psychoanalysts and Buddhist scholars as a meeting between: "Two of the most powerful forces operating in the Western mind today."

D.T. Suzuki's influence

One of the most important influences on the spread of Buddhism in the west was Zen scholar D.T. Suzuki. He collaborated with psycho-analysts Carl Jung, Karen Horney and Erich Fromm.

Carl Jung wrote the foreword to Suzuki's Introduction to Zen Buddhism, first published together in 1948. In his foreword, Jung highlights the enlightenment experience of satori as the "unsurpassed transformation to wholeness" for Zen practitioners. And while acknowledging the inadequacy of Psychologist attempts to comprehend satori through the lens of intellectualism, Jung nonetheless contends that due to their shared goal of self transformation: "The only movement within our culture which partly has, and partly should have, some understanding of these aspirations [for such enlightenment] is psychotherapy."

Referencing Jung and Suzuki's collaboration as well as the efforts of others, humanistic philosopher and psychoanalyst Erich Fromm noted that: "There is an unmistakable and increasing interest in Zen Buddhism among psychoanalysts". One influential psychoanalyst who explored Zen was Karen Horney, who traveled to Japan in 1952 to meet with Suzuki and who advised her colleagues to listen to their clients with a "Zen-like concentration and non attachment".

Suzuki, Fromm and other psychoanalysts collaborated at a 1957 workshop on "Zen Buddhism and Psychoanalysis" in Cuernavaca, Mexico. Fromm contends that, at the turn of the twentieth century, most psychotherapeutic patients sought treatment due to medical-like symptoms that hindered their social functioning. However, by mid-century, the majority of psychoanalytic patients lacked overt symptoms and functioned well but instead suffered from an "inner deadness" and an "alienation from oneself". Paraphrasing Suzuki broadly, Fromm continues:

Zen is the art of seeing into the nature of one's being; it is a way from bondage to freedom; it liberates our natural energies; ... and it impels us to express our faculty for happiness and love. ... What can be said with more certainty is that the knowledge of Zen, and a concern with it, can have a most fertile and clarifying influence on the theory and technique of psychoanalysis. Zen, different as it is in its method from psychoanalysis, can sharpen the focus, throw new light on the nature of insight, and heighten the sense of what it is to see, what it is to be creative, what it is to overcome the affective contaminations and false intellectualizations which are the necessary results of experience based on the subject-object split"

Buddhist psychoanalytic dialogue and integration

The dialogue between Buddhism and psychoanalysis has continued with the work of psychiatrists such as Mark Epstein, Nina Coltart, Jack Engler, Axel Hoffer, Jeremy D. Safran, David Brazier, and Jeffrey B. Rubin.

Nina Coltart (1927-1997) was the Director of the London Clinic of Psychoanalysis, a neo-Freudian and a Buddhist. She theorized that there are distinct similarities in the transformation of the self that occurs in both psychoanalysis and Buddhism. She believed that the practice of Buddhism and Psychoanalysis are "mutually reinforcing and clarifying" (Coltart, The practice of psychoanalysis and Buddhism).

Mark Epstein is an American psychiatrist who practiced Buddhism in Thailand under Ajahn Chah and has since written several books on psychoanalysis and Buddhism (Thoughts Without a Thinker 1995, Psychotherapy Without the Self, 2008). Epstein relates the Buddhist Four Noble Truths to primary narcissism as described by Donald Winnicott in his theory on the true self and false self. The first truth highlights the inevitability of humiliation in our lives of our narcissistic self-esteem. The second truth speaks of the primal thirst that makes such humiliation inevitable. The third truth promises release by developing a realistic self-image, and the fourth truth spells out the means of accomplishing that.

Jeffrey B. Rubin has also written on the integration of these two practices in Psychotherapy and Buddhism, Toward an Integration (1996). In this text, he criticizes the Buddhist idea of enlightenment as a total purification of mind: "From the psychoanalytic perspective, a static, conflict-free sphere-a psychological "safehouse" -beyond the vicissitudes of conflict and conditioning where mind is immune to various aspects of affective life such as self-interest, egocentricity, fear, lust, greed, and suffering is quixotic. Since conflict and suffering seem to be inevitable aspects of human life, the ideal of Enlightenment may be asymptotic, that is, an unreachable ideal." He points to scandals and abuses by American Buddhist teachers as examples. Rubin also outlines a case study of the psychoanalytic treatment of a Buddhist meditator and notes that meditation has been largely ignored and devalued by psychoanalysts. He argues that Buddhist meditation can provide an important contribution to the practice of psychoanalytic listening by improving an analyst's capacity for attention and recommends meditation for psychoanalysts.

Axel Hoffer has contributed to this area as editor of Freud and the Buddha, which collects several essays by psychoanalysts and a Buddhist scholar, Andrew Olendzki. Olendzki outlines an important problematic between the two systems, the Freudian practice of free association, which from the Buddhist perspective is based on: "The reflexive tendency of the mind to incessantly make a narrative of everything that arises in experience is itself the cause of much of our suffering, and meditation offers a refreshing refuge from mapping every datum of sensory input to the macro-construction of a meaningful self." Olendzki also argues that for the Buddhist, the psychoanalytic focus on linguistic narrativity distracts us from immediate experience.

David Brazier

David Brazier is a psychotherapist who combines psychotherapy and Buddhism (Zen therapy, 1995). Brazier points to various possible translations of the Pali terms of the Four Noble Truths, which give a new insight into these truths. The traditional translations of samudhaya and nirodha are "origin" and "cessation". Coupled with the translation of dukkha as "suffering", this gives rise to a causal explanation of suffering, and the impression that suffering can be totally terminated. The translation given by David Brazier gives a different interpretation to the Four Noble Truths.

  1. Dukkha: existence is imperfect, it is like a wheel that is not straight into the axis;
  2. Samudhaya: simultaneously with the experience of dukkha there arises tanha, thirst: the dissatisfaction with what is and the yearning that life should be different from what it is. We keep imprisoned in this yearning when we do not see reality as it is, namely imperfect and ever-changing;
  3. Nirodha: we can confine this yearning (that reality is different from what it is), and perceive reality as it is, whereby our suffering from the imperfectness becomes confined;
  4. Marga: this confinement is possible by following the Eightfold Path.

In this translation, samudhaya means that the uneasiness that is inherent to life arises together with the craving that life's event would be different. The translation of nirodha as confinement means that this craving is a natural reaction, which cannot be totally escaped or ceased, but can be limited, which gives us freedom.

Gestalt therapy

Gestalt Therapy, an approach created by Fritz Perls, was based on phenomenology, existentialism and also Zen Buddhism and Taoism. Perls spent some time in Japanese Zen monasteries and his therapeutic techniques include mindfulness practices and focusing on the present moment. Practices outlined by Perls himself in Ego, Hunger and Aggression (1947/1969), such as "concentration on eating" ("we have to be fully aware of the fact that we are eating") and "awareness continuum" are strikingly similar to Buddhist mindfulness training. Other authors in Gestalt Therapy who were influenced by Buddhism are Barry Stevens (therapist) and Dick Price (who developed Gestalt Practice by including Buddhist meditation).

According to Crocker, an important Buddhist element of Gestalt is that a "person is simply allowing what-is in the present moment to reveal itself to him and out of that receptivity is responding with 'no-mind'".

More recently, Claudio Naranjo has written about the practice of Gestalt and Tibetan Buddhism.

Existential and Humanistic psychology

Both existential and humanistic models of human psychology stress the importance of personal responsibility and freedom of choice, ideas which are central to Buddhist ethics and psychology.

Humanistic psychology's focus on developing the 'fully functioning person' (Carl Rogers) and self actualization (Maslow) is similar to the Buddhist attitude of self development as an ultimate human end. The idea of person-centered therapy can also be compared to the Buddhist view that the individual is ultimately responsible for their own development, that a Buddhist teacher is just a guide and that the patient can be "a light unto themselves".

Carl Rogers's idea of "unconditional positive regard" and his stress on the importance of empathy has been compared to Buddhist conceptions of compassion (Karuṇā).

Mindfulness meditation has been seen as a way to aid the practice of person centered psychotherapy. Person centered therapist Manu Buzzano has written that "It seemed clear that regular meditation practice did help me in offering congruence, empathy and unconditional positive regard." He subsequently interviewed other person centered therapists who practiced meditation and found that it enhanced their empathy, nonjudgmental openness and quality of the relationship with their clients.

A comparison has also been made between Marshall Rosenberg's Nonviolent Communication and Buddhist ideals of right speech, both in theory and in manifesting Buddhist ideals in practice.

Padmasiri de Silva sees the focus of existential psychology on the "tragic sense of life" just a different expression of the Buddhist concept of dukkha. The existential concept of anxiety or angst as a response to the human condition also resonates with the Buddhist analysis of fear and despair. The Buddhist monk Nanavira Thera in the preface to his "Notes on Dhamma" wrote that the work of the existential philosophers offered a way to approach the Buddhist texts, as they ask the type of questions about feelings of anxiety and the nature of existence with which the Buddha begins his analysis. Nanavira also states that those who have understood the Buddha's message have gone beyond the existentialists and no longer see their questions as valid. Edward Conze likewise sees the parallel between the Buddhists and Existentialists only preliminary: "In terms of the Four Truths, the existentialists have only the first, which teaches that everything is ill. Of the second, which assigns the origin of ill to craving, they have only a very imperfect grasp. As for the third and fourth, they are quite unheard of... Knowing no way out, they are manufacturers of their own woes."

Positive psychology

The growing field of positive psychology shares with Buddhism a focus on developing a positive emotions and personal strengths and virtues with the goal of improving human well-being. Positive psychology also describes the futility of the "hedonic treadmill", the chasing of ephemeral pleasures and gains in search of lasting happiness. Buddhism holds that this very same striving is at the very root of human unhappiness.

The Buddhist concept and practice of mindfulness meditation has been adopted by psychologists such as Rick Hanson (Buddha's Brain, 2009), T.B. Kashdan & J. Ciarrochi (Mindfulness, acceptance, and positive psychology, 2013) and Itai Ivtzan (Mindfulness in Positive Psychology, 2016). Kirk W. Brown and Richard M. Ryan of the University of Pennsylvania have developed a 15-item "Mindful attention awareness scale" to measure dispositional mindfulness.

The concept of Flow studied by Mihaly Csikszentmihalyi has been compared to Buddhist meditative states such as samadhi and mindfulness. Ronald Siegel describes flow as "mindfulness while accomplishing something." Nobo Komagata and Sachiko Komagata, however, are critical of characterizing the notion of "flow" as a special case of mindfulness, noting that the connection is more complicated. Zen Buddhism has a concept called Mushin (無心, no mind) which is also similar to flow.

Christopher K. Germer, clinical instructor in psychology at Harvard Medical School and a founding member of the Institute for Meditation and Psychotherapy, has stated: "Positive psychology, which focuses on human flourishing rather than mental illness, is also learning a lot from Buddhism, particularly how mindfulness and compassion can enhance wellbeing. This has been the domain of Buddhism for the past two millennia and we're just adding a scientific perspective."

Martin Seligman and Buddhist monk Thanissaro Bhikkhu have pointed out that the framework of Positive psychology is ethically neutral, and hence within that framework, you could argue that "a serial killer leads a pleasant life, a skilled Mafia hit man leads a good life, and a fanatical terrorist leads a meaningful life." Thanissaro argues that Positive psychology should also look into the ethical dimensions of the good life. Regarding the example of flow states he writes:

A common assumption is that what you do to induce a sense of flow is purely a personal issue, and ultimately what you do doesn't really matter. What matters is the fact of psychological flow. You're most likely to experience flow wherever you have the skill, and you're most likely to develop skill wherever you have the aptitude, whether it's in music, sport, hunting, meditating, etc. From the Buddha's point of view, however, it really does matter what you do to gain gratification, for some skills are more conducive to stable, long-term happiness than others, due to their long-term consequences.

The skills that Thanissaro argues are more conductive to happiness include Buddhist virtues like harmlessness, generosity, moral restraint, and the development of good will as well as mindfulness, concentration, discernment.

Naropa University

"Buddhism will come to the West as a psychology."

- Chogyam Trungpa, 1974

In his introduction to his 1975 book, Glimpses of the Abhidharma, Chogyam Trungpa Rinpoche wrote:

Many modern psychologists have found that the discoveries and explanations of the abhidharma coincide with their own recent discoveries and new ideas; as though the Abhidharma, which was taught 2,500 years ago, had been redeveloped in the modern idiom.

Trungpa Rinpoche's book goes on to describe the nanosecond phenomenological sequence by which a sensation becomes conscious using the Buddhist concepts of the "five aggregates".

In 1974, Trungpa Rinpoche founded the Naropa Institute, now called Naropa University. Since 1975, this accredited university has offered degrees in "contemplative psychology".

Mind and life institute

Every two years, since 1987, the Dalai Lama has convened "Mind and Life" gatherings of Buddhists and scientists. Reflecting on one Mind and Life session in March 2000, psychologist Daniel Goleman notes:

Since the time of Gautama Buddha in the fifth century BC, an analysis of the mind and its workings has been central to the practices of his followers. This analysis was codified during the first millennium after his death within the system called, in the Pali language of Buddha's day, Abhidhamma (or Abhidharma in Sanskrit), which means 'ultimate doctrine' ... Every branch of Buddhism today has a version of these basic psychological teachings on the mind, as well as its own refinements.

Buddhist techniques in clinical settings

For over a millennium, throughout the world, Buddhist practices have been used for non-Buddhist ends.[k] More recently, clinical psychologists, theorists and researchers have incorporated Buddhist practices in widespread formalized psychotherapies. Buddhist mindfulness practices have been explicitly incorporated into a variety of psychological treatments. More tangentially, psychotherapies dealing with cognitive restructuring share core principles with ancient Buddhist antidotes to personal suffering.

Mindfulness practices

Fromm  distinguishes between two types of meditative techniques that have been used in psychotherapy:

  1. auto-suggestion used to induce relaxation;
  2. meditation "to achieve a higher degree of non-attachment, of non-greed, and of non-illusion; briefly, those that serve to reach a higher level of being" (p. 50).

Fromm attributes techniques associated with the latter to Buddhist mindfulness practices.

Two increasingly popular therapeutic practices using Buddhist mindfulness techniques are Jon Kabat-Zinn's Mindfulness-Based Stress Reduction (MBSR) and Marsha M. Linehan's dialectical behavioral therapy (DBT). Other prominent therapies that use mindfulness include Steven C. Hayes' Acceptance and Commitment Therapy (ACT), Adaptation Practice founded in 1978 by the British psychiatrist and Zen Buddhist Clive Sherlock and, based on MBSR, Mindfulness-based Cognitive Therapy (MBCT) (Segal et al., 2002).

Clinical researchers have found Buddhist mindfulness practices to help alleviate anxiety, depression and certain personality disorders.

Mindfulness Based Stress Reduction (MBSR)

Kabat-Zinn developed the eight-week MBSR program over a ten-year period with over four thousand patients at the University of Massachusetts Medical Center. Describing the MBSR program, Kabat-Zinn writes:

This 'work' involves above all the regular, disciplined practice of moment-to-moment awareness or mindfulness, the complete 'owning' of each moment of your experience, good, bad, or ugly. This is the essence of full catastrophe living.

According to Kabat-Zinn, a one-time Zen practitioner,

Although at this time mindfulness meditation is most commonly taught and practiced within the context of Buddhism, its essence is universal ... Yet it is no accident that mindfulness comes out of Buddhism, which has as its overriding concerns the relief of suffering and the dispelling of illusions.

It would be based on relatively intensive training in Buddhist meditation without the Buddhism (as I liked to put it), and yoga.

Kabat-Zinn describes the MBSR program, as well as its scientific basis and the evidence for its clinical effectiveness, in his 1990 book Full Catastrophe Living, which was revised and reissued in 2013.

Mindfulness-based pain management

Mindfulness-based pain management (MBPM) is a mindfulness-based intervention (MBI) providing specific applications for people living with chronic pain and illness. Adapting the core concepts and practices of mindfulness-based stress reduction (MBSR) and mindfulness-based cognitive therapy (MBCT), MBPM includes a distinctive emphasis on the practice of 'loving-kindness', and has been seen as sensitive to concerns about removing mindfulness teaching from its original ethical framework within Buddhism. It was developed by Vidyamala Burch and is delivered through the programs of Breathworks. It has been subject to a range of clinical studies demonstrating its effectiveness.

Dialectical Behavioral Therapy (DBT)

In writing about DBT, Zen practitioner Linehan  states:

As its name suggests, its overriding characteristic is an emphasis on 'dialectics' – that is, the reconciliation of opposites in a continual process of synthesis ... This emphasis on acceptance as a balance to change flows directly from the integration of a perspective drawn from Eastern (Zen) practice with Western psychological practice.

Similarly, Linehan writes:

Mindfulness skills are central to DBT ... They are the first skills taught and are [reviewed] ... every week ... The skills are psychological and behavioral versions of meditation practices from Eastern spiritual training. I have drawn most heavily from the practice of Zen

Controlled clinical studies have demonstrated DBT's effectiveness for people with borderline personality disorder.

Acceptance and Commitment Therapy (ACT)

ACT did not explicitly emerge from Buddhism, but its concepts often parallel ideas from Buddhist and mystical traditions. ACT has been defined by its originators as a method that "uses acceptance and mindfulness processes, and commitment and behavioral activation processes to produce psychological flexibility."

Mindfulness in ACT is defined to be a combination of four aspects of the psychological flexibility model, which is ACT's applied theory:

  1. Acceptance (openness to and engagement with present experience);
  2. Cognitive defusion (attending to the ongoing process of thought instead of automatically interacting with events as structured by prediction, judgment, and interpretation);
  3. Contact with the present moment (attention to the present external and internal world in a manner that is flexible, fluid, and voluntary);
  4. A transcendent sense of self or "self as context" (an interconnected sense of consciousness that maintains contact with the "I/Here/Nowness" of awareness and its interconnection with "You/There/Then").

These four aspects of mindfulness in ACT are argued to stem from Relational Frame Theory, the research program on language and cognition that underlies ACT at the basic level. For example, "self as context" is argued to emerge from deictic verbal relations such as I/You, or Here/There, which RFT laboratories have shown to help establish perspective taking skills and interconnection with others.

Most ACT self-help books (e.g.,) and many tested ACT protocols teach formal contemplative practice skills, but by this definition of mindfulness, such defusion skills as word repetition (taking a difficult thought, distilling it to a single word, and saying it repeatedly out loud for 30 seconds) are also viewed as mindfulness methods.

Adaptation Practice

The British psychiatrist Clive Sherlock, who trained in the traditional Rinzai School of Zen, developed Adaptation Practice, the foundation of mindfulness, in 1977 based on the profound mindfulness/awareness training of Zen daily-life practice and meditation. Adaptation Practice is used for long-term relief of depression, anxiety, anger, stress and other emotional problems.

Existential Therapy

Originated from the philosophical school of existentialism, existential therapy seeks to revise the fundamental nature of human beings. Before commencing the treatment, they first ask the following question: what does it mean to be human?  This then makes existential therapy distinct from other therapeutic techniques, which emphasise more on specific techniques with limited critical evaluation of their effectiveness on the subject.

This sheds light on the role Buddhism plays on psychotherapy. P. de Silva holds that Buddhist psychology is ‘’therapy oriented’’, since it not only provides an explanation for our mental ill-health and suffering, but it also offers effective treatments to them. For example, Buddhism may diagnose our anxiety, depression, and other symptoms of mental illness as stemming from greed and aversion, while encouraging us to treat them by taking the Noble Eightfold Path, developing tranquillity and insight, through the meditative practices of samatha and vipassana. Moreover, S. N. Goenka acknowledges that, the ultimate objective of undertaking Buddha’s teaching is to purify the mind, as expounded in Dhammapada 183:  

Abstain from unwholesome deeds,

perform wholesome deeds;

purify your own mind-  

this is the teaching of the Buddhas.

If so, then one shall understand that while symptoms of mental illness are often indirectly treated by practicing Buddha’s teaching, these objectives are only highly cursory and are not the main focus of the practice.

Cognitive restructuring

Dr. Albert Ellis, considered the "grandfather of cognitive-behavioral therapy" (CBT), has written:

Many of the principles incorporated in the theory of rational-emotive psychotherapy are not new; some of them, in fact, were originally stated several thousands of years ago, especially by the Greek and Roman Stoic philosophers (such as Epictetus and Marcus Aurelius) and by some of the ancient Taoist and Buddhist thinkers (see Suzuki, 1956, and Watts, 1959, 1960).

To give but one example, Buddhism identifies anger and ill-will as basic hindrances to spiritual development (see, for instance, the Five Hindrances, Ten Fetters and kilesas). A common Buddhist antidote for anger is the use of active contemplation of loving thoughts (see, for instance, metta). This is similar to using a CBT technique known as "emotional training" which Ellis describes in the following manner:

Think of an intensely pleasant experience you have had with the person with whom you now feel angry. When you have fantasized such a pleasant experience and have actually given yourself unusually good, intensely warm feelings toward that person as a result of this remembrance, continue the process. Recall pleasant experiences and good feelings, and try to make these feelings paramount over your feelings of hostility.

Reaction from Buddhist traditionalists

Some Buddhist practitioners have expressed concern that attempts to view Buddhism through the lens of psychology diminishes the Buddha's liberating message.

Patrick Kearney has written that the effort to integrate the teachings of the Buddha by interpreting it through the view of psychologies has led to "a growing confusion about the nature of Buddhist teachings and a willingness to distort and dilute these teachings". He is critical of Jack Kornfield and Mark Epstein for holding that psychological techniques are a necessity for some Buddhists and of Jeffrey Rubin for writing that enlightenment might not be possible. Kearney writes:

Epstein and Rubin want to rewrite Buddhism on their own terms, taking the ocean of the Buddha's wisdom and reducing it to a puddle small enough to accommodate the views of Freud and his successors.


Romantic /
humanistic
psychology
early
Buddhism
spiritual
illness
divided self clinging
ultimate
experience
feeling of
oneness
knowledge of
Awakening
cure on-going
personal
integration
Awakening

American Theravada monk Thanissaro Bhikkhu has also criticized the interpretation of Buddhism through Psychology, which has different values and goals, derived from roots such as European Romanticism and Protestant Christianity. He also identifies broad commonalities between "Romantic/humanistic psychology" and early Buddhism: beliefs in human (versus divine) intervention with an approach that is experiential, pragmatic and therapeutic. Thanissaro Bhikkhu traces the roots of modern spiritual ideals from German Romantic Era philosopher Immanuel Kant through American psychologist and philosopher William James, Jung and humanistic psychologist Abraham Maslow. Thanissaro sees their view as centered on the idea of healing the 'divided self', an idea which is alien to Buddhism. Thanissaro asserts that there are also core differences between Romantic/humanistic psychology and Buddhism. These are summarized in the adjacent table. Thanissaro implicitly deems those who impose Romantic/humanistic goals on the Buddha's message as "Buddhist Romantics".

The same similarities have been recognized by David McMahan when describing Buddhist modernism.

Recognizing the widespread alienation and social fragmentation of modern life, Thanissaro Bhikkhu writes:

When Buddhist Romanticism speaks to these needs, it opens the gate to areas of dharma [the Buddha's teachings] that can help many people find the solace they're looking for. In doing so, it augments the work of psychotherapy ... However, Buddhist Romanticism also helps close the gate to areas of the dharma that would challenge people in their hope for an ultimate happiness based on interconnectedness. Traditional dharma calls for renunciation and sacrifice, on the grounds that all interconnectedness is essentially unstable, and any happiness based on this instability is an invitation to suffering. True happiness has to go beyond interdependence and interconnectedness to the unconditioned ... The gate [of Buddhist Romanticism] closes off radical areas of the dharma designed to address levels of suffering remaining even when a sense of wholeness has been mastered."

Another Theravada monk, Bhikkhu Bodhi has also criticized the presentation of certain Buddhist teachings mixed with psychological and Humanistic views as being authentic Buddhism. This risks losing the essence of the liberating and radical message of the Buddha, which is focused on attaining nirvana:

What I am concerned about is the trend, common among present-day Buddhist teachers, of recasting the core principles of the Buddha's teachings into largely psychological terms and then saying, "This is Dhamma." When this is done we may never get to see that the real purpose of the teaching, in its own framework, is not to induce "healing" or "wholeness" or "self-acceptance," but to propel the mind in the direction of deliverance – and to do so by attenuating, and finally extricating, all those mental factors responsible for our bondage and suffering. We should remember that the Buddha did not teach the Dhamma as an "art of living" – though it includes that – but above all as a path to deliverance, a path to final liberation and enlightenment. And what the Buddha means by enlightenment is not a celebration of the limitations of the human condition, not a passive submission to our frailties, but an overcoming of those limitations by making a radical, revolutionary breakthrough to an altogether different dimension of being.

Mainstream teachers and popularizers

In 1961, philosopher and professor Alan Watts wrote:

If we look deeply into such ways of life as Buddhism and Taoism, Vedanta and Yoga, we do not find either philosophy or religion as these are understood in the West. We find something more nearly resembling psychotherapy ... The main resemblance between these Eastern ways of life and Psychotherapy is in the concern of both with bringing about changes of consciousness, changes in our ways of feeling our own existence and our relation to human society and the natural world. The psychotherapist has, for the most part, been interested in changing the consciousness of peculiarly disturbed individuals. The disciplines of Buddhism and Taoism are, however, concerned with changing the consciousness of normal, socially adjusted people.

Since Watts's early observations and musings, there have been many other important contributors to the contemporary popularization of the integration of Buddhist meditation with psychology including Kornfield (1993), Joseph Goldstein, Tara Brach, Epstein (1995) and Nhat Hanh (1998)

Imaginary number

From Wikipedia, the free encyclopedia
https://en.wikipedia.org/wiki/Imaginary_number

The powers of i
are cyclic:
is a 4th
root of unity

An imaginary number is the product of a real number and the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number bi is b2. For example, 5i is an imaginary number, and its square is −25. The number zero is considered to be both real and imaginary.

Originally coined in the 17th century by René Descartes as a derogatory term and regarded as fictitious or useless, the concept gained wide acceptance following the work of Leonhard Euler in the 18th century, and Augustin-Louis Cauchy and Carl Friedrich Gauss in the early 19th century.

An imaginary number bi can be added to a real number a to form a complex number of the form a + bi, where the real numbers a and b are called, respectively, the real part and the imaginary part of the complex number. Imaginary numbers are often called purely imaginary to distinguish them from complex numbers more generally; the set of all imaginary numbers is sometimes denoted , where denotes the set of real numbers.

History

An illustration of the complex plane. The imaginary numbers are on the vertical coordinate axis.

Although the Greek mathematician and engineer Heron of Alexandria is noted as the first to present a calculation involving the square root of a negative number, it was Rafael Bombelli who first set down the rules for multiplication of complex numbers in 1572. The concept had appeared in print earlier, such as in work by Gerolamo Cardano. At the time, imaginary numbers and negative numbers were poorly understood and were regarded by some as fictitious or useless, much as zero once was. Many other mathematicians were slow to adopt the use of imaginary numbers, including René Descartes, who wrote about them in his La Géométrie in which he coined the term imaginary and meant it to be derogatory. The use of imaginary numbers was not widely accepted until the work of Leonhard Euler (1707–1783) and Carl Friedrich Gauss (1777–1855). The geometric significance of complex numbers as points in a plane was first described by Caspar Wessel (1745–1818).

In 1843, William Rowan Hamilton extended the idea of an axis of imaginary numbers in the plane to a four-dimensional space of quaternion imaginaries in which three of the dimensions are analogous to the imaginary numbers in the complex field.

Geometric interpretation

90-degree rotations in the complex plane

Geometrically, imaginary numbers are found on the vertical axis of the complex number plane, which allows them to be presented perpendicular to the real axis. One way of viewing imaginary numbers is to consider a standard number line positively increasing in magnitude to the right and negatively increasing in magnitude to the left. At 0 on the x-axis, a y-axis can be drawn with "positive" direction going up; "positive" imaginary numbers then increase in magnitude upwards, and "negative" imaginary numbers increase in magnitude downwards. This vertical axis is often called the "imaginary axis".

In this representation, multiplication by i corresponds to a counterclockwise rotation of 90 degrees about the origin, which is a quarter of a circle. Multiplication by i corresponds to a clockwise rotation of 90 degrees about the origin. Similarly, multiplying by a purely imaginary number bi, with b a real number, both causes a counterclockwise rotation about the origin by 90 degrees and scales the answer by a factor of b. When b < 0, this can instead be described as a clockwise rotation by 90 degrees and a scaling by |b|.

Square roots of negative numbers

ℕ ⊊ ℤ ⊊ ℚ ⊊ ℝ ⊊ ℂ
Set inclusions between the natural numbers (ℕ), the integers (ℤ), the rational numbers (ℚ), the real numbers (ℝ), and the complex numbers (ℂ)

Care must be used when working with imaginary numbers that are expressed as the principal values of the square roots of negative numbers. For example, the second equality in

is invalid: the identity for nonnegative real numbers does not always hold for the principal branch of the complex square root function.

Enlightenment in Buddhism

From Wikipedia, the free encyclopedia

The English term enlightenment is the Western translation of various Buddhist terms, most notably bodhi and vimutti. The abstract noun bodhi (/ˈbdi/; Sanskrit: बोधि; Pali: bodhi) means the knowledge or wisdom, or awakened intellect, of a Buddha.[web 1] The verbal root budh- means "to awaken", and its literal meaning is closer to awakening. Although the term buddhi is also used in other Indian philosophies and traditions, its most common usage is in the context of Buddhism. Vimutti is the freedom from or release of the fetters and hindrances.

The term enlightenment was popularised in the Western world through the 19th-century translations of British philologist Max Müller. It has the Western connotation of general insight into transcendental truth or reality. The term is also being used to translate several other Buddhist terms and concepts, which are used to denote (initial) insight (prajna (Sanskrit), wu (Chinese), kensho and satori (Japanese)); knowledge (vidya); the "blowing out" (nirvana) of disturbing emotions and desires; and the attainment of supreme Buddhahood (samyak sam bodhi), as exemplified by Gautama Buddha.

What exactly constituted the Buddha's awakening is unknown. It may have involved the knowledge that liberation was attained by the combination of mindfulness and dhyāna, applied to the understanding of the arising and ceasing of craving. The relation between dhyana and insight is a core problem in the study of Buddhism, and is one of the fundamentals of Buddhist practice.

Etymology

Bodhi, Sanskrit बोधि, "awakening", "perfect knowledge", "perfect knowledge or wisdom (by which a man becomes a बुद्ध [Buddha] or जिन [jina, arahant; "victorious", "victor"], the illuminated or enlightened intellect (of a Buddha or जिन)".

The word Bodhi is an abstract noun, formed from the verbal root *budh-, Sanskrit बुध, "to awaken, to know", "to wake, wake up, be awake", "to recover consciousness (after a swoon)", "to observe, heed, attend to".

It corresponds to the verbs bujjhati (Pāli) and bodhati, बोदति, "become or be aware of, perceive, learn, know, understand, awake" or budhyate (Sanskrit).

The feminine Sanskrit noun of *budh- is बुद्धि, buddhi, "prescience, intuition, perception, point of view".

Translation

Robert S. Cohen notes that the majority of English books on Buddhism use the term "enlightenment" to translate the term bodhi. The root budh, from which both bodhi and Buddha are derived, means "to wake up" or "to recover consciousness". Cohen notes that bodhi is not the result of an illumination, but of a path of realization, or coming to understanding. The term "enlightenment" is event-oriented, whereas the term "awakening" is process-oriented. The western use of the term "enlighten" has Christian roots, as in Calvin's "It is God alone who enlightens our minds to perceive his truths".

Early 19th-century bodhi was translated as "intelligence". The term "enlighten" was first being used in 1835, in an English translation of a French article, while the first recorded use of the term 'enlightenment' is credited (by the Oxford English Dictionary) to the Journal of the Asiatic Society of Bengal (February 1836). In 1857 The Times used the term "the Enlightened" for the Buddha in a short article, which was reprinted the following year by Max Müller. Thereafter, the use of the term subsided, but reappeared with the publication of Max Müller's Chips from a german Workshop, which included a reprint from the Times article. The book was translated in 1969 into German, using the term "der Erleuchtete". Max Müller was an essentialist, who believed in a natural religion, and saw religion as an inherent capacity of human beings. "Enlightenment" was a means to capture natural religious truths, as distinguished from mere mythology.  This perspective was influenced by Kantian thought, particularly Kant's definition of the Enlightenment as the free, unimpeded use of reason. Müller's translation echoed this idea, portraying Buddhism as a rational and enlightened religion that aligns with the natural religious truths inherent to human beings.

By the mid-1870s it had become commonplace to call the Buddha "enlightened", and by the end of the 1880s the terms "enlightened" and "enlightenment" dominated the English literature.

Insight

Bodhi

While the Buddhist tradition regards bodhi as referring to full and complete liberation (samyaksambudh), it also has the more modest meaning of knowing that the path that is being followed leads to the desired goal. According to Johannes Bronkhorst, Tillman Vetter, and K.R. Norman, bodhi was at first not specified. K.R. Norman:

It is not at all clear what gaining bodhi means. We are accustomed to the translation "enlightenment" for bodhi, but this is misleading ... It is not clear what the buddha was awakened to, or at what particular point the awakening came.

According to Norman, bodhi may basically have meant the knowledge that nibbana was attained, due to the practice of dhyana. Originally only "prajna" may have been mentioned, and Tillman Vetter even concludes that originally dhyana itself was deemed liberating, with the stilling of pleasure or pain in the fourth jhana, not the gaining of some perfect wisdom or insight. Gombrich also argues that the emphasis on insight is a later development.

In Theravada Buddhism, bodhi refers to the realisation of the four stages of enlightenment and becoming an Arahant. In Theravada Buddhism, bodhi is equal to supreme insight, and the realisation of the four noble truths, which leads to deliverance. According to Nyanatiloka,

(Through Bodhi) one awakens from the slumber or stupor (inflicted upon the mind) by the defilements (kilesa, q.v.) and comprehends the Four Noble Truths (sacca, q.v.).

This equation of bodhi with the four noble truths is a later development, in response to developments within Indian religious thought, where "liberating insight" was deemed essential for Liberation. The four noble truths as the liberating insight of the Buddha eventually were superseded by Pratītyasamutpāda, the twelvefold chain of causation, and still later by anatta, the emptiness of the self.

In Mahayana Buddhism, bodhi is equal to prajna, insight into the Buddha-nature, sunyata and tathatā. This is equal to the realisation of the non-duality of absolute and relative.

Prajna

In Theravada Buddhism pannā (Pali) means "understanding", "wisdom", "insight". "Insight" is equivalent to vipassana, insight into the three marks of existence, namely anicca, dukkha and anatta. Insight leads to the four stages of enlightenment and Nirvana.

In Mahayana Buddhism Prajna (Sanskrit) means "insight" or "wisdom", and entails insight into sunyata. The attainment of this insight is often seen as the attainment of "enlightenment".

Wu, kensho and satori

Wu is the Chinese term for initial insight. Kensho and satori are Japanese terms used in Zen traditions. Kensho means "seeing into one's true nature". Ken means "seeing", sho means "nature", "essence", c.q Buddha-nature. Satori (Japanese) is often used interchangeably with kensho, but refers to the experience of kensho. The Rinzai tradition sees kensho as essential to the attainment of Buddhahood, but considers further practice essential to attain Buddhahood.

East-Asian (Chinese) Buddhism emphasizes insight into Buddha-nature. This term is derived from Indian tathagata-garbha thought, "the womb of the thus-gone" (the Buddha), the inherent potential of every sentient being to become a Buddha. This idea was integrated with the Yogacara-idea of the ālaya vijñāna, and further developed in Chinese Buddhism, which integrated Indian Buddhism with native Chinese thought. Buddha-nature came to mean both the potential of awakening and the whole of reality, a dynamic interpenetration of absolute and relative. In this awakening it is realized that observer and observed are not distinct entities, but mutually co-dependent.

Knowledge

The term vidhya is being used in contrast to avidhya, ignorance or the lack of knowledge, which binds us to samsara. The Mahasaccaka Sutta describes the three knowledges which the Buddha attained:

  1. Insight into his past lives
  2. Insight into the workings of karma and reincarnation
  3. Insight into the Four Noble Truths

According to Bronkhorst, the first two knowledges are later additions, while insight into the four truths represents a later development, in response to concurring religious traditions, in which "liberating insight" came to be stressed over the practice of dhyana.

Freedom

Vimukthi, also called moksha, means "freedom", "release", "deliverance". Sometimes a distinction is being made between ceto-vimukthi, "liberation of the mind", and panna-vimukthi, "liberation by understanding". The Buddhist tradition recognises two kinds of ceto-vimukthi, one temporarily and one permanent, the last being equivalent to panna-vimukthi.

Yogacara uses the term āśraya parāvŗtti, "revolution of the basis",

... a sudden revulsion, turning, or re-turning of the ālaya vijñāna back into its original state of purity [...] the Mind returns to its original condition of non-attachment, non-discrimination and non-duality".

Nirvana

Nirvana is the "blowing out" of disturbing emotions, which is the same as liberation. The usage of the term "enlightenment" to translate "nirvana" was popularized in the 19th century, in part, due to the efforts of Max Müller, who used the term consistently in his translations.

Buddha's awakening

Buddhahood

There are three recognized types of Buddha:

  • Arhat (Pali: arahant), those who reach Nirvana by following the teachings of the Buddha. Sometimes the term Śrāvakabuddha (Pali: sāvakabuddha) is used to designate this kind of awakened person;
  • Pratyekabuddhas (Pali: paccekabuddha), those who reach Nirvana through self-realisation, without the aid of spiritual guides and teachers, but do not teach the Dharma;
  • Samyaksambuddha (Pali: samma sambuddha), often simply referred to as Buddha, one who has reached Nirvana by one's own efforts and wisdom and teaches it skillfully to others.

Siddhartha Gautama, known as the Buddha, is said to have achieved full awakening, known as samyaksaṃbodhi (Sanskrit; Pāli: sammāsaṃbodhi), "perfect Buddhahood", or anuttarā-samyak-saṃbodhi, "highest perfect awakening". Specifically, anuttarā-samyak-saṃbodhi, literally meaning unsurpassed, complete and perfect enlightenment, is often used to distinguish the enlightenment of a Buddha from that of an Arhat.

The term Buddha and the way to Buddhahood is understood somewhat differently in the various Buddhist traditions. An equivalent term for Buddha is Tathāgata, "the thus-gone".

The awakening of the Buddha

Canonical accounts

In the suttapitaka, the Buddhist canon as preserved in the Theravada tradition, a couple of texts can be found in which the Buddha's attainment of liberation forms part of the narrative.

The Ariyapariyesana Sutta (Majjhima Nikaya 26) describes how the Buddha was dissatisfied with the teachings of Āḷāra Kālāma and Uddaka Rāmaputta, wandered further through Magadhan country, and then found "an agreeable piece of ground" which served for striving. The sutta then only says that he attained Nibbana.

In the Vanapattha Sutta (Majjhima Nikaya 17) the Buddha describes life in the jungle, and the attainment of awakening. The Mahasaccaka Sutta (Majjhima Nikaya 36) describes his ascetic practices, which he abandoned. Thereafter he remembered a spontaneous state of jhana, and set out for jhana-practice. Both suttas narrate how, after destroying the disturbances of the mind, and attaining concentration of the mind, he attained three knowledges (vidhya):

  1. Insight into his past lives
  2. Insight into the workings of karma and reincarnation
  3. Insight into the Four Noble Truths

Insight into the Four Noble Truths is here called awakening. The monk (bhikkhu) has "...attained the unattained supreme security from bondage." Awakening is also described as synonymous with Nirvana, the extinction of the passions whereby suffering is ended and no more rebirths take place. The insight arises that this liberation is certain: "Knowledge arose in me, and insight: my freedom is certain, this is my last birth, now there is no rebirth."

Critical assessment

Schmithausen notes that the mention of the four noble truths as constituting "liberating insight", which is attained after mastering the Rupa Jhanas, is a later addition to texts such as Majjhima Nikaya 36. Bronkhorst notices that

...the accounts which include the Four Noble Truths had a completely different conception of the process of liberation than the one which includes the Four Dhyanas and the destruction of the intoxicants.

It calls in question the reliability of these accounts, and the relation between dhyana and insight, which is a core problem in the study of early Buddhism. Originally the term prajna may have been used, which came to be replaced by the four truths in those texts where "liberating insight" was preceded by the four jhanas. Bronkhorst also notices that the conception of what exactly this "liberating insight" was developed throughout time. Whereas originally it may not have been specified, later on the four truths served as such, to be superseded by pratityasamutpada, and still later, in the Hinayana schools, by the doctrine of the non-existence of a substantial self or person. And Schmithausen notices that still other descriptions of this "liberating insight" exist in the Buddhist canon:

"that the five Skandhas are impermanent, disagreeable, and neither the Self nor belonging to oneself"; "the contemplation of the arising and disappearance (udayabbaya) of the five Skandhas"; "the realisation of the Skandhas as empty (rittaka), vain (tucchaka) and without any pith or substance (asaraka).

An example of this substitution, and its consequences, is Majjhima Nikaya 36:42–43, which gives an account of the awakening of the Buddha.

Understanding of bodhi and Buddhahood

The term bodhi acquired a variety of meanings and connotations during the development of Buddhist thoughts in the various schools.

Early Buddhism

In early Buddhism, bodhi carried a meaning synonymous to nirvana, using only a few different metaphors to describe the insight, which implied the extinction of lobha (greed), dosa (hate) and moha (delusion).

Theravada

In Theravada Buddhism, bodhi and nirvana carry the same meaning: that of being freed from greed, hate and delusion. Bodhi, specifically, refers to the realisation of the four stages of enlightenment and becoming an Arahant. It is equal to supreme insight, the realisation of the four noble truths, which leads to deliverance. Reaching full awakening is equivalent in meaning to reaching Nirvāṇa. Attaining Nirvāṇa is the ultimate goal of Theravada and other śrāvaka traditions. It involves the abandonment of the ten fetters and the cessation of dukkha or suffering. Full awakening is reached in four stages. According to Nyanatiloka,

(Through Bodhi) one awakens from the slumber or stupor (inflicted upon the mind) by the defilements (kilesa, q.v.) and comprehends the Four Noble Truths (sacca', q.v.).

Since the 1980s, western Theravada-oriented teachers have started to question the primacy of insight. According to Thanissaro Bhikkhu, jhana and vipassana (insight) form an integrated practice. Polak and Arbel, following scholars like Vetter and Bronkhorst, argue that right effort, c.q. the four right efforts (sense restraint, preventing the arising of unwholesome states, and the generation of wholesome states), mindfulness, and dhyana form an integrated practice, in which dhyana is the actualisation of insight, leading to an awakened awareness which is "non-reactive and lucid".

Mahayana

In Mahayana-thought, bodhi is the realisation of the inseparability of samsara and nirvana, and the unity of subject and object. Similar to prajna, the realizing of the Buddha-nature, bodhi realizes sunyata and suchness. In time, the Buddha's awakening came to be understood as an immediate full awakening and liberation, instead of the insight into and certainty about the way to follow to reach enlightenment. In some Zen traditions, however, this perfection came to be relativized again; according to one contemporary Zen master, "Shakyamuni buddha and Bodhidharma are still practicing."

Mahayana discerns three forms of awakened beings:

  1. Arahat – Liberation for oneself;
  2. Bodhisattva – Liberation for living beings;
  3. Full Buddhahood.

Within the various Mahayana-schools exist various further explanations and interpretations. In Mahāyāna Buddhism, the Bodhisattva is the ideal. The ultimate goal is not only of one's own liberation in Buddhahood, but the liberation of all living beings. The cosmology of Mahayana Buddhism regards a wide range of buddhas and bodhisattvas, who assist humans on their way to liberation.

Nichiren Buddhism, a branch of Mahayana Buddhism, regards Buddhahood as a state of perfect freedom, in which one is awakened to the eternal and ultimate truth that is the reality of all things. This supreme state of life is characterized by boundless wisdom and infinite compassion. The Lotus Sutra reveals that Buddhahood is a potential in the lives of all beings.

Buddha-nature

In the Tathagatagarbha and Buddha-nature doctrines, bodhi becomes equivalent to the universal, natural and pure state of the mind:

Bodhi is the final goal of a Bodhisattva's career [...] Bodhi is pure universal and immediate knowledge, which extends over all time, all universes, all beings and elements, conditioned and unconditioned. It is absolute and identical with Reality and thus it is Tathata. Bodhi is immaculate and non-conceptual, and it, being not an outer object, cannot be understood by discursive thought. It has neither beginning, nor middle nor end and it is indivisible. It is non-dual (advayam) [...] The only possible way to comprehend it is through samadhi by the yogin.

According to these doctrines, bodhi eternally exists within one's mind, although requiring the mind's defilements to be removed. This vision is expounded in texts such as the Shurangama Sutra and the Uttaratantra.

In Shingon Buddhism as well, the state of Bodhi is regarded as naturally inherent in the mind. Bodhi is the mind's natural and pure state, where no distinction is being made between a perceiving subject and perceived objects. This is also the understanding of Bodhi found in Yogacara Buddhism.

To achieve this vision of non-duality, it is necessary to recognise one's own mind:

... it means that you are to know the inherent natural state of the mind by eliminating the split into a perceiving subject and perceived objects which normally occurs in the world and is wrongly thought to be real. This also corresponds to the Yogacara definition ... that emptiness (sunyata) is the absence of this imaginary split

Vajrayana

During the development of Mahayana Buddhism, the various strands of thought on Bodhi were continuously being elaborated. Attempts were made to harmonize the various terms.

The Vajrayana Buddhist commentator Buddhaguhya treats various terms as synonyms:

For example, he defines emptiness (sunyata) as suchness (tathata) and says that suchness is the intrinsic nature (svabhava) of the mind which is Enlightenment (bodhi-citta). Moreover, he frequently uses the terms suchness (tathata) and Suchness-Awareness (tathata-jnana) interchangeably. But since Awareness (jnana) is non-dual, Suchness-Awareness is not so much the Awareness of Suchness, but the Awareness which is Suchness. In other words, the term Suchness-Awareness is functionally equivalent to Enlightenment. Finally, it must not be forgotten that this Suchness-Awareness or Perfect Enlightenment is Mahavairocana [the Primal Buddha, uncreated and forever existent]. In other words, the mind in its intrinsic nature is Mahavairocana, whom one "becomes" (or vice versa) when one is perfectly enlightened.

Bodhi Day

Sakyamuni's enlightenment is celebrated on Bodhi Day. In Sri Lanka and Japan, different days are used for this celebration. According to the Theravada tradition in Sri Lanka, Sakyamuni reached Buddhahood at the full moon in May. This is celebrated at Vesākha Pūjā, the full moon in May, known as Sambuddhatva jayanthi (or Sambuddha jayanthi).[web 12] Secular Bodhi day is celebrated on December 8 in Japan, while China, South Korea and Vietnam, Bodhi Day is observed on the eighth day of the 12th lunar month.

Number theory

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