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Wednesday, October 30, 2024

Ubiquitous computing

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

Ubiquitous computing (or "ubicomp") is a concept in software engineering, hardware engineering and computer science where computing is made to appear seamlessly anytime and everywhere. In contrast to desktop computing, ubiquitous computing implies use on any device, in any location, and in any format. A user interacts with the computer, which can exist in many different forms, including laptop computers, tablets, smart phones and terminals in everyday objects such as a refrigerator or a pair of glasses. The underlying technologies to support ubiquitous computing include the Internet, advanced middleware, kernels, operating systems, mobile codes, sensors, microprocessors, new I/Os and user interfaces, computer networks, mobile protocols, global navigational systems, and new materials.

This paradigm is also described as pervasive computing, ambient intelligence, or "everyware". Each term emphasizes slightly different aspects. When primarily concerning the objects involved, it is also known as physical computing, the Internet of Things, haptic computing, and "things that think". Rather than propose a single definition for ubiquitous computing and for these related terms, a taxonomy of properties for ubiquitous computing has been proposed, from which different kinds or flavors of ubiquitous systems and applications can be described.

Ubiquitous computing themes include: distributed computing, mobile computing, location computing, mobile networking, sensor networks, human–computer interaction, context-aware smart home technologies, and artificial intelligence.

Core concepts

Ubiquitous computing is the concept of using small internet connected and inexpensive computers to help with everyday functions in an automated fashion.

Mark Weiser proposed three basic forms for ubiquitous computing devices:

  • Tabs: a wearable device that is approximately a centimeter in size
  • Pads: a hand-held device that is approximately a decimeter in size
  • Boards: an interactive larger display device that is approximately a meter in size

Ubiquitous computing devices proposed by Mark Weiser are all based around flat devices of different sizes with a visual display. Expanding beyond those concepts there is a large array of other ubiquitous computing devices that could exist.

History

Mark Weiser coined the phrase "ubiquitous computing" around 1988, during his tenure as Chief Technologist of the Xerox Palo Alto Research Center (PARC). Both alone and with PARC Director and Chief Scientist John Seely Brown, Weiser wrote some of the earliest papers on the subject, largely defining it and sketching out its major concerns.

Recognizing the effects of extending processing power

Recognizing that the extension of processing power into everyday scenarios would necessitate understandings of social, cultural and psychological phenomena beyond its proper ambit, Weiser was influenced by many fields outside computer science, including "philosophy, phenomenology, anthropology, psychology, post-Modernism, sociology of science and feminist criticism". He was explicit about "the humanistic origins of the 'invisible ideal in post-modernist thought'", referencing as well the ironically dystopian Philip K. Dick novel Ubik.

Andy Hopper from Cambridge University UK proposed and demonstrated the concept of "Teleporting" – where applications follow the user wherever he/she moves.

Roy Want, while a researcher and student working under Andy Hopper at Cambridge University, worked on the "Active Badge System", which is an advanced location computing system where personal mobility that is merged with computing.

Bill Schilit (now at Google) also did some earlier work in this topic, and participated in the early Mobile Computing workshop held in Santa Cruz in 1996.

Ken Sakamura of the University of Tokyo, Japan leads the Ubiquitous Networking Laboratory (UNL), Tokyo as well as the T-Engine Forum. The joint goal of Sakamura's Ubiquitous Networking specification and the T-Engine forum, is to enable any everyday device to broadcast and receive information.

MIT has also contributed significant research in this field, notably Things That Think consortium (directed by Hiroshi Ishii, Joseph A. Paradiso and Rosalind Picard) at the Media Lab and the CSAIL effort known as Project Oxygen. Other major contributors include University of Washington's Ubicomp Lab (directed by Shwetak Patel), Dartmouth College's DartNets Lab, Georgia Tech's College of Computing, Cornell University's People Aware Computing Lab, NYU's Interactive Telecommunications Program, UC Irvine's Department of Informatics, Microsoft Research, Intel Research and Equator, Ajou University UCRi & CUS.

Examples

One of the earliest ubiquitous systems was artist Natalie Jeremijenko's "Live Wire", also known as "Dangling String", installed at Xerox PARC during Mark Weiser's time there. This was a piece of string attached to a stepper motor and controlled by a LAN connection; network activity caused the string to twitch, yielding a peripherally noticeable indication of traffic. Weiser called this an example of calm technology.

A present manifestation of this trend is the widespread diffusion of mobile phones. Many mobile phones support high speed data transmission, video services, and other services with powerful computational ability. Although these mobile devices are not necessarily manifestations of ubiquitous computing, there are examples, such as Japan's Yaoyorozu ("Eight Million Gods") Project in which mobile devices, coupled with radio frequency identification tags demonstrate that ubiquitous computing is already present in some form.

Ambient Devices has produced an "orb", a "dashboard", and a "weather beacon": these decorative devices receive data from a wireless network and report current events, such as stock prices and the weather, like the Nabaztag, which was invented by Rafi Haladjian and Olivier Mével, and manufactured by the company Violet.

The Australian futurist Mark Pesce has produced a highly configurable 52-LED LAMP enabled lamp which uses Wi-Fi named MooresCloud after Gordon Moore.

The Unified Computer Intelligence Corporation launched a device called Ubi – The Ubiquitous Computer designed to allow voice interaction with the home and provide constant access to information.

Ubiquitous computing research has focused on building an environment in which computers allow humans to focus attention on select aspects of the environment and operate in supervisory and policy-making roles. Ubiquitous computing emphasizes the creation of a human computer interface that can interpret and support a user's intentions. For example, MIT's Project Oxygen seeks to create a system in which computation is as pervasive as air:

In the future, computation will be human centered. It will be freely available everywhere, like batteries and power sockets, or oxygen in the air we breathe...We will not need to carry our own devices around with us. Instead, configurable generic devices, either handheld or embedded in the environment, will bring computation to us, whenever we need it and wherever we might be. As we interact with these "anonymous" devices, they will adopt our information personalities. They will respect our desires for privacy and security. We won't have to type, click, or learn new computer jargon. Instead, we'll communicate naturally, using speech and gestures that describe our intent...

This is a fundamental transition that does not seek to escape the physical world and "enter some metallic, gigabyte-infested cyberspace" but rather brings computers and communications to us, making them "synonymous with the useful tasks they perform".

Network robots link ubiquitous networks with robots, contributing to the creation of new lifestyles and solutions to address a variety of social problems including the aging of population and nursing care.

The "Continuity" set of features, introduced by Apple in OS X Yosemite, can be seen as an example of ubiquitous computing.

Issues

Privacy is easily the most often-cited criticism of ubiquitous computing (ubicomp), and may be the greatest barrier to its long-term success.

Research centres

This is a list of notable institutions who claim to have a focus on Ubiquitous computing sorted by country:

Canada

Topological Media Lab, Concordia University, Canada

Finland

Community Imaging Group, University of Oulu, Finland

Germany

Telecooperation Office (TECO), Karlsruhe Institute of Technology, Germany

India

Ubiquitous Computing Research Resource Centre (UCRC), Centre for Development of Advanced Computing

Pakistan

Centre for Research in Ubiquitous Computing (CRUC), Karachi, Pakistan

Sweden

Mobile Life Centre, Stockholm University

United Kingdom

Mixed Reality Lab, University of Nottingham

Apophatic theology

From Wikipedia, the free encyclopedia

The apophatic tradition is often, though not always, allied with the approach of mysticism, which aims at the vision of God, the perception of the divine reality beyond the realm of ordinary perception.

Etymology and definition

"Apophatic", Ancient Greek: ἀπόφασις (noun); from ἀπόφημι apophēmi, meaning 'to deny'. From Online Etymology Dictionary:

apophatic (adj.) "involving a mention of something one feigns to deny; involving knowledge obtained by negation", 1850, from Latinized form of Greek apophatikos, from apophasis "denial, negation", from apophanai "to speak off," from apo "off, away from" (see apo-) + phanai "to speak," related to pheme "voice," from PIE root *bha- (2) "to speak, tell, say."

Via negativa or via negationis (Latin), 'negative way' or 'by way of denial'. The negative way forms a pair together with the kataphatic or positive way. According to Deirdre Carabine,

Pseudo Dionysius describes the kataphatic or affirmative way to the divine as the "way of speech": that we can come to some understanding of the Transcendent by attributing all the perfections of the created order to God as its source. In this sense, we can say "God is Love", "God is Beauty", "God is Good".
The apophatic or negative way stresses God's absolute transcendence and unknowability in such a way that we cannot say anything about the divine essence because God is so totally beyond being. The dual concept of the immanence and transcendence of God can help us to understand the simultaneous truth of both "ways" to God: at the same time as God is immanent, God is also transcendent. At the same time as God is knowable, God is also unknowable. God cannot be thought of as one or the other only.

Origins and development

According to Fagenblat, "negative theology is as old as philosophy itself:" elements of it can be found in Plato's unwritten doctrines, while it is also present in Neo-Platonic, Gnostic and early Christian writers. A tendency to apophatic thought can also be found in Philo of Alexandria.

According to Carabine, "apophasis proper" in Greek thought starts with Neo-Platonism, with its speculations about the nature of the One, culminating in the works of Proclus. Carabine writes that there are two major points in the development of apophatic theology, namely the fusion of the Jewish tradition with Platonic philosophy in the writings of Philo, and the works of Pseudo-Dionysius the Areopagite, who infused Christian thought with Neo-Platonic ideas.

The Early Church Fathers were influenced by Philo, and Meredith even states that Philo "is the real founder of the apophatic tradition." Yet, it was with Pseudo-Dionysius the Areopagite and Maximus the Confessor, whose writings shaped both Hesychasm (the contemplative monastic tradition of the Eastern Orthodox Churches) and the mystical traditions of western Europe, that apophatic theology became a central element of Christian theology and contemplative practice.

Elijah's hearing of a "still, small voice" at 1 Kings 19:11-13 has been proposed as a Biblical example of apophatic prayer.

Greek philosophy

Pre-Socratic

For the ancient Greeks, knowledge of the gods was essential for proper worship. Poets had an important responsibility in this regard, and a central question was how knowledge of the Divine forms can be attained. Epiphany played an essential role in attaining this knowledge. Xenophanes (c. 570 – c. 475 BC) noted that the knowledge of the Divine forms is restrained by the human imagination, and Greek philosophers realized that this knowledge can only be mediated through myth and visual representations, which are culture-dependent.

According to Herodotus (484–425 BC), Homer and Hesiod (between 750 and 650 BC) taught the Greek the knowledge of the Divine bodies of the Gods. The ancient Greek poet Hesiod (between 750 and 650 BC) describes in his Theogony the birth of the gods and creation of the world, which became an "ur-text for programmatic, first-person epiphanic narratives in Greek literature," but also "explores the necessary limitations placed on human access to the divine." According to Platt, the statement of the Muses who grant Hesiod knowledge of the Gods "actually accords better with the logic of apophatic religious thought."

Parmenides (fl. late sixth or early fifth century BC), in his poem On Nature, gives an account of a revelation on two ways of inquiry. "The way of conviction" explores Being, true reality ("what-is"), which is "What is ungenerated and deathless,/whole and uniform, and still and perfect." "The way of opinion" is the world of appearances, in which one's sensory faculties lead to conceptions which are false and deceitful. His distinction between unchanging Truth and shifting opinion is reflected in Plato's allegory of the Cave. Together with the Biblical story of Moses's ascent of Mount Sinai, it is used by Gregory of Nyssa and Pseudo-Dionysius the Areopagite to give a Christian account of the ascent of the soul toward God. Cook notes that Parmenides' poem is a religious account of a mystical journey, akin to the mystery cults, giving a philosophical form to a religious outlook. Cook further notes that the philosopher's task is to "attempt through 'negative' thinking to tear themselves loose from all that frustrates their pursuit of wisdom."

Plato

Plato Silanion Musei Capitolini MC1377.

Plato (428/427 or 424/423 – 348/347 BC), "deciding for Parmenides against Heraclitus" and his theory of eternal change, had a strong influence on the development of apophatic thought.

Plato further explored Parmenides's idea of timeless truth in his dialogue Parmenides, which is a treatment of the eternal forms, Truth, Beauty and Goodness, which are the real aims for knowledge. The Theory of Forms is Plato's answer to the problem of how one fundamental reality or unchanging essence can admit of many changing phenomena, other than by dismissing them as being mere illusion.

In The Republic, Plato argues that the "real objects of knowledge are not the changing objects of the senses, but the immutable Forms," stating that the Form of the Good is the highest object of knowledge. His argument culminates in the Allegory of the Cave, in which he argues that humans are like prisoners in a cave, who can only see shadows of the Real, the Form of the Good. Humans are to be educated to search for knowledge, by turning away from their bodily desires toward higher contemplation, culminating in an intellectual understanding or apprehension of the Forms, c.q. the "first principles of all knowledge."

According to Cook, the Theory of Forms has a theological flavour, and had a strong influence on the ideas of his Neo-Platonist interpreters Proclus and Plotinus. The pursuit of Truth, Beauty and Goodness became a central element in the apophatic tradition, but nevertheless, according to Carabine "Plato himself cannot be regarded as the founder of the negative way." Carabine warns not to read later Neo-Platonic and Christian understandings into Plato, and notes that Plato did not identify his Forms with "one transcendent source," an identification which his later interpreters made.

Middle Platonism

Middle Platonism (1st century BC–3rd century AD) further investigated Plato's "Unwritten Doctrines," which drew on Pythagoras' first principles of the Monad and the Dyad (matter). Middle Platonism proposed a hierarchy of being, with God as its first principle at its top, identifying it with Plato's Form of the Good. An influential proponent of Middle Platonism was Philo (c. 25 BC–c. 50 AD), who employed Middle Platonic philosophy in his interpretation of the Hebrew scriptures, and asserted a strong influence on early Christianity. According to Craig D. Allert, "Philo made a monumental contribution to the creation of a vocabulary for use in negative statements about God." For Philo, God is undescribable, and he uses terms which emphasize God's transcendence.

Neo-Platonism

Neo-Platonism was a mystical or contemplative form of Platonism, which "developed outside the mainstream of Academic Platonism." It started with the writings of Plotinus (204/5–270 AD), and ended with the closing of the Platonic Academy by Emperor Justinian in 529 AD, when the pagan traditions were ousted. It is a product of Hellenistic syncretism, which developed due to the crossover between Greek thought and the Jewish scriptures, and also gave birth to Gnosticism. Proclus of Athens (*412–485 C.E.) played a crucial role in the transmission of Platonic philosophy from antiquity to the Middle Ages., serving as head or ‘successor’ (diadochos, sc. of Plato) of the Platonic ‘Academy’ for over 50 years. His student Pseudo-Dionysius had a far-stretching Neo-Platonic influence on Christianity and Christian mysticism.

Plotinus

Plotinus, 204/5–270 AD.

Plotinus (204/5–270 AD) was the founder of Neo-Platonism. In the Neo-Platonic philosophy of Plotinus and Proclus, the first principle became even more elevated as a radical unity, which was presented as an unknowable Absolute. For Plotinus, the One is the first principle, from which everything else emanates. He took it from Plato's writings, identifying the Good of the Republic, as the cause of the other Forms, with the One of the first hypothesis of the second part of the Parmenides. For Plotinus, the One precedes the Forms, and "is beyond Mind and indeed beyond Being." From the One comes the Intellect, which contains all the Forms. The One is the principle of Being, while the Forms are the principle of the essence of beings, and the intelligibility which can recognize them as such. Plotinus's third principle is Soul, the desire for objects external to itself. The highest satisfaction of desire is the contemplation of the One, which unites all existents "as a single, all-pervasive reality."

The One is radically simple, and does not even have self-knowledge, since self-knowledge would imply multiplicity. Nevertheless, Plotinus does urge for a search for the Absolute, turning inward and becoming aware of the "presence of the intellect in the human soul," initiating an ascent of the soul by abstraction or "taking away," culminating in a sudden appearance of the One. In the Enneads Plotinus writes:

Our thought cannot grasp the One as long as any other image remains active in the soul [...] To this end, you must set free your soul from all outward things and turn wholly within yourself, with no more leaning to what lies outside, and lay your mind bare of ideal forms, as before of the objects of sense, and forget even yourself, and so come within sight of that One.

Carabine notes that Plotinus' apophasis is not just a mental exercise, an acknowledgement of the unknowability of the One, but a means to ecstasis and an ascent to "the unapproachable light that is God." Pao-Shen Ho, investigating what are Plotinus' methods for reaching henosis, concludes that "Plotinus' mystical teaching is made up of two practices only, namely philosophy and negative theology." According to Moore, Plotinus appeals to the "non-discursive, intuitive faculty of the soul," by "calling for a sort of prayer, an invocation of the deity, that will permit the soul to lift itself up to the unmediated, direct, and intimate contemplation of that which exceeds it (V.1.6)." Pao-Shen Ho further notes that "for Plotinus, mystical experience is irreducible to philosophical arguments." The argumentation about henosis is preceded by the actual experience of it, and can only be understood when henosis has been attained. Ho further notes that Plotinus's writings have a didactic flavour, aiming to "bring his own soul and the souls of others by way of Intellect to union with the One." As such, the Enneads as a spiritual or ascetic teaching device, akin to The Cloud of Unknowing, demonstrating the methods of philosophical and apophatic inquiry. Ultimately, this leads to silence and the abandonment of all intellectual inquiry, leaving contemplation and unity.

Proclus

Proclus (412–485) introduced the terminology used in apophatic and cataphatic theology. He did this in the second book of his Platonic Theology, arguing that Plato states that the One can be revealed "through analogy," and that "through negations [dia ton apophaseon] its transcendence over everything can be shown." For Proclus, apophatic and cataphatic theology form a contemplatory pair, with the apophatic approach corresponding to the manifestation of the world from the One, and cataphatic theology corresponding to the return to the One. The analogies are affirmations which direct us toward the One, while the negations underlie the confirmations, being closer to the One. According to Luz, Proclus also attracted students from other faiths, including the Samaritan Marinus. Luz notes that "Marinus' Samaritan origins with its Abrahamic notion of a single ineffable Name of God (יהוה‎) should also have been in many ways compatible with the school's ineffable and apophatic divine principle."

Christianity

Engraving of Otto van Veen (1660), who negatively describes God as Quod oculus non vidit, nec auris audivit (Vulgate), "What no eye has seen, nor ear heard" (1 Corinthians 2:9).

Apostolic Age

The Book of Revelation 8:1 mentions "the silence of the perpetual choir in heaven." According to Dan Merkur:

The silence of the perpetual choir in heaven had mystical connotations, because silence attends the disappearance of plurality during experiences of mystical oneness. The term "silence" also alludes to the "still small voice" (1 Kings 19:12) whose revelation to Elijah on Mount Horeb rejected visionary imagery by affirming a negative theology.

Early Church Fathers

The Early Church Fathers were influenced by Philo[4] (c. 25 BC – 50 AD), who saw Moses as "the model of human virtue and Sinai as the archetype of man's ascent into the 'luminous darkness' of God." His interpretation of Moses was followed by Clement of Alexandria, Origen, the Cappadocian Fathers, Pseudo-Dionysius, and Maximus the Confessor.

God's appearance to Moses in the burning bush was often elaborated on by the Early Church Fathers, especially Gregory of Nyssa (c. 335 – 395), realizing the fundamental unknowability of God; an exegesis which continued in the medieval mystical tradition. Their response is that, although God is unknowable, Jesus as person can be followed, since "following Christ is the human way of seeing God."

Clement of Alexandria (c. 150 – 215) was an early proponent of apophatic theology. Clement holds that God is unknowable, although God's unknowability, concerns only his essence, not his energies, or powers. According to R.A. Baker, in Clement's writings the term theoria develops further from a mere intellectual "seeing" toward a spiritual form of contemplation. Clement's apophatic theology or philosophy is closely related to this kind of theoria and the "mystic vision of the soul." For Clement, God is transcendent and immanent. According to Baker, Clement's apophaticism is mainly driven not by Biblical texts, but by the Platonic tradition. His conception of an ineffable God is a synthesis of Plato and Philo, as seen from a Biblical perspective. According to Osborne, it is a synthesis in a Biblical framework; according to Baker, while the Platonic tradition accounts for the negative approach, the Biblical tradition accounts for the positive approach. Theoria and abstraction is the means to conceive of this ineffable God; it is preceded by dispassion.

According to Tertullian (c. 155c. 240):

[T]hat which is infinite is known only to itself. This it is which gives some notion of God, while yet beyond all our conceptions – our very incapacity of fully grasping Him affords us the idea of what He really is. He is presented to our minds in His transcendent greatness, as at once known and unknown.

Saint Cyril of Jerusalem (313–386), in his Catechetical Homilies, states:

For we explain not what God is but candidly confess that we have not exact knowledge concerning Him. For in what concerns God to confess our ignorance is the best knowledge.

Filippo Lippi, Vision of St. Augustine, c. 1465, tempera, Hermitage Museum, Saint Petersburg.

Augustine of Hippo (354–430) defined God aliud, aliud valde, meaning 'other, completely other', in Confessions 7.10.16, wrote Si [enim] comprehendis, non est Deus, meaning 'if you understand [something], it is not God', in Sermo 117.3.5 (PL 38, 663), and a famous legend tells that, while walking along the Mediterranean shoreline meditating on the mystery of the Trinity, he met a child who with a seashell (or a little pail) was trying to pour the whole sea into a small hole dug in the sand. Augustine told him that it was impossible to enclose the immensity of the sea in such a small opening, and the child replied that it was equally impossible to try to understand the infinity of God within the limited confines of the human mind.

The Chalcedonian Christological dogma

The Christological dogma, formulated by the Fourth Ecumenical Council held in Chalcedon in 451, is based on dyophysitism and hypostatic union, concepts used to describe the union of humanity and divinity in a single hypostasis, or individual existence, that of Jesus Christ. This remains transcendent to mankind's rational categories, a mystery which has to be guarded by apophatic language, as it is a personal union of a singularly unique kind.

Pseudo-Dionysius the Areopagite

Apophatic theology found its most influential expression in the works of Pseudo-Dionysius the Areopagite (late 5th to early 6th century), a student of Proclus (412–485) who combined a Christian worldview with Neo-Platonic ideas. He is a constant factor in the contemplative tradition of the eastern Orthodox Churches, and from the 9th century onwards his writings also had a strong impact on western mysticism.

Dionysius the Areopagite was a pseudonym, taken from Acts of the Apostles chapter 17, in which Paul gives a missionary speech to the court of the Areopagus in Athens. In Acts 17:23 Paul makes a reference to an altar-inscription, dedicated to the Unknown God, "a safety measure honoring foreign gods still unknown to the Hellenistic world." For Paul, Jesus Christ is this unknown God, and as a result of Paul's speech Dionysius the Areopagite converts to Christianity. Yet, according to Stang, for Pseudo-Dionysius the Areopagite Athens is also the place of Neo-Platonic wisdom, and the term "unknown God" is a reversal of Paul's preaching toward an integration of Christianity with Neo-Platonism, and the union with the "unknown God."

According to Corrigan and Harrington, "Dionysius' central concern is how a triune God [...] who is utterly unknowable, unrestricted being, beyond individual substances, beyond even goodness, can become manifest to, in, and through the whole of creation in order to bring back all things to the hidden darkness of their source." Drawing on Neo-Platonism, Pseudo-Dionysius described human ascent to divinity as a process of purgation, illumination and union. Another Neo-Platonic influence was his description of the cosmos as a series of hierarchies, which overcome the distance between God and humans.

Eastern Orthodox Christianity

In Orthodox Christianity, apophatic theology is taught as superior to cataphatic theology. The fourth-century Cappadocian Fathers stated a belief in the existence of God, but an existence unlike that of everything else: everything else that exists was created, but the Creator transcends this existence, is uncreated. The essence of God is completely unknowable; mankind can acquire an incomplete knowledge of God in his attributes (propria), positive and negative, by reflecting upon and participating in his self-revelatory operations (energeiai). Gregory of Nyssa (c. 335c. 395), John Chrysostom (c. 349–407), and Basil the Great (329–379) emphasized the importance of negative theology to an orthodox understanding of God. John of Damascus (c. 675/676–749) employed negative theology when he wrote that positive statements about God reveal "not the nature, but the things around the nature."

Maximus the Confessor (580–622) took over Pseudo-Dionysius' ideas, and had a strong influence on the theology and contemplative practices of the Eastern Orthodox Churches. Gregory Palamas (1296–1359) formulated the definite theology of Hesychasm, the Eastern Orthodox practices of contemplative prayer and theosis, "deification."

Influential 20th-century Orthodox theologians include the Neo-Palamist writers Vladimir Lossky, John Meyendorff, John S. Romanides, and Georges Florovsky. Lossky argues, based on his reading of Dionysius and Maximus Confessor, that positive theology is always inferior to negative theology, which is a step along the way to the superior knowledge attained by negation. This is expressed in the idea that mysticism is the expression of dogmatic theology par excellence.

According to Lossky, outside of directly revealed knowledge through Scripture and Sacred Tradition, such as the Trinitarian nature of God, God in his essence is beyond the limits of what human beings (or even angels) can understand. He is transcendent in essence (ousia). Further knowledge must be sought in a direct experience of God or his indestructible energies through theoria (vision of God). According to Aristotle Papanikolaou, in Eastern Christianity, God is immanent in his hypostasis or existences.

Western Christianity

In The Creation of Adam painted by Michelangelo (c. 1508–1512), the two index fingers are separated by a small gap (34 inch (1.9 cm)): some scholars think that it represents the unattainability of divine perfection by man.

Negative theology has a place in the Western Christian tradition as well. The 9th-century theologian John Scotus Erigena wrote:

We do not know what God is. God Himself does not know what He is because He is not anything [i.e., "not any created thing"]. Literally God is not, because He transcends being.

When he says "He is not anything" and "God is not", Scotus does not mean that there is no God, but that God cannot be said to exist in the way that creation exists, i.e. that God is uncreated. He is using apophatic language to emphasise that God is "other".

Theologians like Meister Eckhart and John of the Cross exemplify some aspects of or tendencies towards the apophatic tradition in the West. The medieval work, The Cloud of Unknowing and John of the Cross' Dark Night of the Soul are particularly well known. In 1215 apophatism became the official position of the Catholic Church, which, on the basis of Scripture and church tradition, during the Fourth Lateran Council formulated the following dogma:

Between Creator and creature no similitude can be expressed without implying an even greater dissimilitude.

The via eminentiae

Thomas Aquinas was born ten years later (1225–1274) and, although in his Summa Theologiae he quotes Pseudo-Dionysius 1,760 times, stating that "Now, because we cannot know what God is, but rather what He is not, we have no means for considering how God is, but rather how He is not" and leaving the work unfinished because it was like "straw" compared to what had been revealed to him, his reading in a neo-Aristotelian key of the conciliar declaration overthrew its meaning inaugurating the "analogical way" as tertium between via negativa and via positiva: the via eminentiae. In this way, the believers see what attributes are common between them and God, as well as the unique, not human, properly divine and not understandable way in respect of which God possesses that attributes.

According to Adrian Langdon:

The distinction between univocal, equivocal, and analogous language and relations corresponds to the distinction between the via positiva, via negativa, and via eminentiae. In Thomas Aquinas, for example, the via positiva undergirds the discussion of univocity, the via negativa the equivocal, and the via eminentiae the final defense of analogy.

According to Catholic Encyclopedia, the Doctor Angelicus and the scholastici declare that:

God is not absolutely unknowable, and yet it is true that we cannot define Him adequately. But we can conceive and name Him in an "analogical way". The perfections manifested by creatures are in God, not merely nominally (equivoce) but really and positively, since He is their source. Yet, they are not in Him as they are in the creature, with a mere difference of degree, nor even with a mere specific or generic difference (univoce), for there is no common concept including the finite and the Infinite. They are really in Him in a supereminent manner (eminenter) which is wholly incommensurable with their mode of being in creatures. We can conceive and express these perfections only by an analogy; not by an analogy of proportion, for this analogy rests on a participation in a common concept, and, as already said, there is no element common to the finite and the Infinite; but by an analogy of proportionality.

Since then Thomism has played a decisive role in resizing the negative or apophatic tradition of the magisterium.

20th century

Herman Dooyeweerd

Apophatic statements are still crucial to many modern theologians, restarting in the 1800s by Søren Kierkegaard (see his concept of the infinite qualitative distinction) up to Rudolf Otto, Karl Barth (see their idea of "Wholly Other", i.e. ganz Andere or totaliter aliter), the Ludwig Wittgenstein of the Tractatus, and Martin Heidegger after his Kehre.

C. S. Lewis, in his book Miracles (1947), advocates the use of negative theology when first thinking about God, in order to cleanse one's mind of misconceptions. He goes on to advocate refilling the mind with the truth about God, untainted by mythology, bad analogies or false mind-pictures.

The mid-20th century Dutch philosopher Herman Dooyeweerd, who is often associated with a neo-Calvinistic tradition, provides a philosophical foundation for understanding the impossibility of absolutely knowing God, and yet the possibility of truly knowing something of God. Dooyeweerd made a sharp distinction between theoretical and pre-theoretical attitudes of thought. He argues that most of the discussion of knowledge of God presupposes theoretical knowledge, which involves reflection and attempts to define and discuss. Theoretical knowing, for Dooyeweerd, is never absolute, always depends on religious presuppositions, and cannot grasp either God or the law side. Pre-theoretical knowing, on the other hand, is intimate engagement, exhibits a diverse range of aspects, and can grasp at least the law side. According to Dooyeweerd, knowledge of God, as God wishes to reveal it, is pre-theoretical, immediate and intuitive, never theoretical in nature. The philosopher Leo Strauss considered that the Bible, for example, should be treated as pre-theoretical (everyday) rather than theoretical in what it contains.

Ivan Illich (1926–2002), the historian and social critic, can be read as an apophatic theologian, according to a longtime collaborator, Lee Hoinacki, in a paper presented in memory of Illich, called "Why Philia?"

21st century

Karen Armstrong, in her book The Case for God (2009), notices a recovery of apophatic theology in postmodern theology.

Philosopher and literary scholar William Franke, particularly in his 2007 two-volume collection On What Cannot Be Said and his 2014 monograph A Philosophy of the Unsayable, puts forth that negative theology's exploration and performance of language's limitations is not simply one current among many in religious thought, but is "a kind of perennial counter-philosophy to the philosophy of Logos" that persistently challenges central tenets of Western thought throughout its history. For Franke, literature demonstrates the "infinitely open" nature of language which negative theology and related forms of philosophical thought seek to draw attention to. Franke therefore argues that literature, philosophy, and theology begin to bleed into one another as they approach what he frames as the "apophatic" side of Western thought.

Islam

Various traditions and schools in Islam (see Islamic schools and branches) draw on sundry theologies in approaching God in Islam (Allah, Arabic الله) or the ultimate reality. "Negative theology" involves the use of تَعْطِيل, ta'tīl, defined as 'setting aside', 'canceling out', 'negation', or 'nullification'. The followers of the Mu'tazili school of Kalam, the spread of which is often attributed to Wasil ibn Ata, are often called the Mu'aṭṭilah ('cancelers' or 'negators'), a description, sometimes employed derogatorily, deriving from the school's descriptions of the Islamic God.

Rajab ʿAlī Tabrīzī, an Iranian and Shi'ite philosopher and mystic of the 17th century, is credited with instilling an apophatic theology in a generation of philosophers and theologians whose influence extended into the Qajar period. Mulla Rajab affirmed the completely unknowable, unqualifiable, and attributeless nature of God and upheld a general view concerning God's attributes which can only be negatively 'affirmed' (that is, by affirmingly negating all that is not God about God).

Shia Islam largely adopts "negative theology". In the words of the Persian Ismaili missionary, Abu Yaqub al-Sijistani: "There does not exist a tanzíh ["transcendence"] more brilliant and more splendid than that by which we establish the absolute transcendence of our Originator through the use of these phrases in which a negative and a negative of a negative apply to the thing denied."

Literalists completely reject and condemn any negation that would clash with the wording of the Islamic Scriptures or with the narratives ascribed to the Islamic Prophet. They therefore hold that descriptors and qualifiers that occur in the Qur'ān and in the canonized religious traditions, even if seeming or sounding humanlike such as "hand", "finger, or "foot", are to be wholly affirmed as attributes of God (not limbs).

Many Sunnites, like the Ash'aris and Maturidis, adhere to some middle path or synthesis between negation and anthropomorphism, though the kind of each combination of negation and affirmation varies greatly.

Judaism

Maimonides, 1138–1204 AD.

Maimonides (1135/1138–1204) was "the most influential medieval Jewish exponent of the via negativa." Maimonides – along with Samuel ibn Tibbon – draws on Bahya ibn Paquda, who shows that our inability to describe God is related to the fact of his absolute unity. God, as the entity which is "truly One" (האחד האמת), must be free of properties and is thus unlike anything else and indescribable. In The Guide for the Perplexed, Maimonides states:

God's existence is absolute and it includes no composition and we comprehend only the fact that He exists, not His essence. Consequently it is a false assumption to hold that He has any positive attribute [...] still less has He accidents (מקרה), which could be described by an attribute. Hence it is clear that He has no positive attribute however, the negative attributes are necessary to direct the mind to the truths which we must believe [...] When we say of this being, that it exists, we mean that its non-existence is impossible; it is living — it is not dead; [...] it is the first — its existence is not due to any cause; it has power, wisdom, and will — it is not feeble or ignorant; He is One — there are not more Gods than one [...] Every attribute predicated of God denotes either the quality of an action, or, when the attribute is intended to convey some idea of the Divine Being itself — and not of His actions — the negation of the opposite.

According to Rabbi Yosef Wineberg, Maimonides stated that "[God] is knowledge," and saw his essence, being, and knowledge as completely one, "a perfect unity and not a composite at all." Wineberg quotes Maimonides as stating:

This [form of unity] wherein G‑d's knowledge and so on is one with G‑d Himself is beyond the capacity of the mouth to express, beyond the capacity of the ear to hear, and beyond the capacity of the heart of man to apprehend clearly.

According to Fagenblat, it is only in the modern period that negative theology really gains importance in Jewish thought. Yeshayahu Leibowitz (1903–1994) was a prominent modern exponent of Jewish negative theology. According to Leibowitz, a person's faith is their commitment to obey God, meaning God's commandments, and this has nothing to do with a person's image of God. This must be so because Leibowitz thought that God cannot be described, that God's understanding is not man's understanding, and thus all the questions asked of God are out of place.

Jacques Derrida

The work of Jewish philosopher Jacques Derrida, and in particular his critical method called deconstruction, has frequently been compared to negative theology, and led to renewed interest in apophaticism in the late 20th century, even among continental philosophers and literary scholars who may not have otherwise have been particularly invested in theological issues. Conversely, the perception that deconstruction resembled or essentially was a form of secular negative theology also – according to Derrida himself – took the form of an accusation from his critics, implicitly positing both negative theology and deconstruction as being elaborate ways of saying nothing of any substance or importance. However, Derrida strongly repudiated this comparison for much of his career, arguing that any resemblance between his thought and apophaticism is purely superficial. Derrida argued that the aims of negative theology – to demonstrate the ultimate, incomprehensible, transcendent reality of God – are a form of ontotheology which runs fundamentally counter to deconstruction's aim of purging Western thought of its pervasive metaphysics of presence.

Later in his career, such in as his essay "Sauf le nom", Derrida comes to see apophatic theology as potentially but not necessarily a means through which the intractable inadequacies of language and the ontological difficulties which proceed from them can brought to our attention and explored:

There is one apophasis that can in effect respond to, correspond to, correspond with the most insatiable desire of God, according to the history and the event of its manifestation or the secret of its non-manifestation. The other apophasis, the other voice, can remain readily foreign to all desire, in any case to every anthropotheomorphic form of desire.

Scholars such as Stephen Shakespeare have noted that – despite Derrida's pervasive concern with many aspects of Jewish theology and identity – his writing on negative theology draws almost exclusively on Christian writing and couches the topic in the language of Christianity generally. Derrida's thought in general, but in particular his later writing on negative theology, was highly influential in the development of the Weak Theology movement, and of postmodern theology as a whole.

David Wood and Robert Bernasconi have highlighted how Derrida explains what deconstruction is in an overwhelmingly negative, "apophatic" fashion.

Indian parallels

Adi Shankara, 788–820 AD.

Early Indian philosophical works which have apophatic themes include the Principal Upanishads (800 BC to the start of the common era) and the Brahma Sutras (from 450 BC and 200 AD). An expression of negative theology is found in the Brihadaranyaka Upanishad, where Brahman is described as "neti neti" or "neither this, nor that". Further use of apophatic theology is found in the Brahma Sutras, which state:

Whenever we deny something unreal, it is in reference to something real.

Buddhist philosophy has also strongly advocated the way of negation, beginning with the Buddha's own theory of anatta (not-atman, not-self) which denies any truly existent and unchanging essence of a person. Madhyamaka is a Buddhist philosophical school founded by Nagarjuna (2nd–3rd century AD), which is based on a four-fold negation of all assertions and concepts and promotes the theory of emptiness (shunyata). Apophatic assertions are also an important feature of Mahayana sutras, especially the prajñaparamita genre. These currents of negative theology are visible in all forms of Buddhism.

Apophatic movements in medieval Hindu philosophy are visible in the works of Shankara (8th century), a philosopher of Advaita Vedanta (non-dualism), and Bhartṛhari (5th century), a grammarian. While Shankara holds that the transcendent noumenon, Brahman, is realized by the means of negation of every phenomenon including language, Bhartṛhari theorizes that language has both phenomenal and noumenal dimensions, the latter of which manifests Brahman.

In Advaita, Brahman is defined as being Nirguna or without qualities. Anything imaginable or conceivable is not deemed to be the ultimate reality. The Taittiriya hymn speaks of Brahman as "one where the mind does not reach". Yet the Hindu scriptures often speak of Brahman's positive aspect. For instance, Brahman is often equated with bliss. These contradictory descriptions of Brahman are used to show that the attributes of Brahman are similar to ones experienced by mortals, but not the same.

Negative theology also figures in the Buddhist and Hindu polemics. The arguments go something like this – Is Brahman an object of experience? If so, how do you convey this experience to others who have not had a similar experience? The only way possible is to relate this unique experience to common experiences while explicitly negating their sameness.

Bahá'í Faith

Bahá'í's believe that God is an ultimately unknowable being (see God in the Baháʼí Faith) and Bahá'í writings state that "there can be no tie of direct intercourse to bind the one true God with His creation, and no resemblance whatever can exist between the transient and the Eternal, the contingent and the Absolute."

According to the Bahá'í Faith, the only way to grow nearer to God is to gain knowledge of the Manifestation of God, who is a reflection of God's reality in a similar way to how a mirror reflects an image of the sun. Stephen Lambden has written a paper entitled, The Background and Centrality of Apophatic Theology in Bábí and Bahá'í Scripture and Ian Kluge has also looked into the Apophatic Theology and the Baha'i faith in the second part of his paper, Neoplatonism and the Bahá'í Writings.

Apophatic theology and atheism

Even though the via negativa essentially rejects theological understanding in and of itself as a path to God, some have sought to make it into an intellectual exercise, by describing God only in terms of what God is not. One problem noted with this approach is that there seems to be no fixed basis on deciding what God is not, unless the Divine is understood as an abstract experience of full aliveness unique to each individual consciousness, and universally, the perfect goodness applicable to the whole field of reality. Apophatic theology is often accused of being a version of atheism or agnosticism, since it cannot say truly that God exists. "The comparison is crude, however, for conventional atheism treats the existence of God as a predicate that can be denied ("God is nonexistent"), whereas negative theology denies that God has predicates". "God or the Divine is" without being able to attribute qualities about "what He is" would be the prerequisite of positive theology in negative theology that distinguishes theism from atheism. "Negative theology is a complement to, not the enemy of, positive theology". Since religious experience—or consciousness of the holy or sacred, is not reducible to other kinds of human experience, an abstract understanding of religious experience cannot be used as evidence or proof that religious discourse or praxis can have no meaning or value. In apophatic theology, the negation of theisms in the via negativa also requires the negation of their correlative atheisms if the dialectical method it employs is to maintain integrity.

Ubiquitous computing

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