In the logic of theory change, the standard model is AGM, proposed by Alchourrón et al. (J Symb Log 50:510–530, 1985 ). This paper focuses on the extension of AGM that accounts for contractions of a theory by a set of sentences instead of only by a single sentence. Hansson (Theoria 55:114–132, 1989 ), Fuhrmann and Hansson (J Logic Lang Inf 3:39–74, 1994 ) generalized Partial Meet Contraction to the case of contractions by (possibly non-singleton) sets of sentences. In this (...) paper we present the possible worlds semantics for partial meet multiple contractions. (shrink)

The article is devoted to the problem of interpreting of the several consequences that derive from multi-world concepts of modern physics. The inflation scenario and the associated string landscape model are the objects of analysis. The reviewed multi-world concepts are exposed to presume the existence of a plenitude (possibly infinite) of various fundamental principles (laws of nature) that govern the physics of one or another possible reality. The research is based on the hermeneutical method, comparative method, dialectical method, formal (...) translation method, and scientific modeling method. The author represents specifics of physical theories (the criteria and requirements for them) that claim to describe all possible worlds in the conclusions. In this regard, the issues of the status of “possible” and “impossible” worlds and practicable ways to determine them are discussed. The main result of the study is the justification (based on the assumption of many fundamentally different worlds scenario possibility) that each type of world must correspond to a certain structure of consciousness defined by its basic physical principles (and probably other mathematics). This possibly means that a unified “theory of everything” that includes all possible mathematical and physical fundamental structures cannot exist since every one of them determines a specific type of consciousness (where it is possible). (shrink)

This article surveys some contemporary literature in analytic philosophy of religion bearing on the relationship between God and possible worlds. Most of these authors take “God” to denote an essentially omnipotent, omniscient, and perfectly good being, who is the creator and sustainer of all that contingently exists. Since the 1960s, philosophers have employed the conceptual apparatus of worlds to discuss topics pertaining to God. Very roughly, the actual world is the way things are, whereas each possible (...) world is a way things might have been. Many philosophers believe that if God exists, he could not have failed to exist. In other words, God exists in all possible worlds; God is a necessary being. The first section of this article, God and Necessity, discusses several accounts of what this means, and of the relationship between God and worlds. Worlds are widely assumed to bear axiological properties: some are good, others are bad; some are better, others are worse. Some authors have judged that God could not exist in bad worlds. Whether this counts against theism is discussed under God and Bad Worlds (The Modal Problem of Evil). If all worlds bear axiological properties, and can be compared, it is natural to wonder whether the hierarchy has an upper bound. The literature concerning this topic is surveyed under Is there a Best Possible World?. It is widely assumed that if God exists, he chooses a world to make actual. The next three sections of this article consider this choice: God’s Choice if there is One Best Possible World, God’s Choice if there are Multiple Best Worlds, and God’s Choice if there are No Best Worlds. Some authors hold that certain pairs of worlds simply cannot be compared. The literature surrounding God’s choice between such pairs is discussed under God’s Choice and Incomparable Worlds. Some philosophers have recently argued that if theism is true, the actual world is a multiverse made up of many worthy universes. Their proposals are discussed under God and the Multiverse. Finally, this article surveys some literature that attempts to answer the following question, with respect to the value of worlds: What Difference Would—or Does—God’s Existence Make? Given space constraints, this article does not discuss arguments for God’s existence that invoke possible worlds, such as “ontological” arguments. Nor does it discuss arguments for atheism that appeal to evil, except insofar as theistic multiverse theories constitute responses. (shrink)

This unpublished 1990 preprint argues that a crucial distinction in discussions of the many-worlds interpretation of quantum mechanics (MWI) is that between versions of the interpretation positing a physical multiplicity of worlds, and those in which the multiplicity is merely psychological, and due to the splitting of consciousness upon interaction with amplified quantum superpositions. It is argued that Everett's original version of the MWI belongs to the latter class, and that most of the criticisms leveled against the MWI, (...) in particular that it is illogical or incoherent, are not valid against such "psychological-multiplicity" versions. Attempts to derive the quantum-mechanical probabilities from the many-worlds interpretation are reviewed, and Everett's initial derivation is extended in an attempt to show that these are the unique possible probabilities. But there remains a challenge for proponents of the MWI: to show that their interpretation requires probabilities, rather than merely nonprobabilistic indeterminacy. A 2002 preface, revised in 2004, briefly discusses the extent to which I still agree with the claims in the paper. While its derivation of probabilities used, and failed to justify, noncontextuality, I still agree with the paper's general interpretation of the MWI, though not with the MWI itself. (shrink)

By examining the idea found in the works of several contemporary philosophers that the multiplicity of worlds is no longer merely possible – as it was for Leibniz – but actually determines our experience of reality, the article proposes an understanding of worlds as transcendental structures that frame the ontological multiplicity. The article argues that such a proliferation of actual worlds implies that the concept of world should be seen today as a category that belongs to (...) the order of fiction, making the world-building devices of literature relevant for understanding the contemporary experience of reality. The first part examines the conceptions of multiple worlds of Leibniz, Deleuze, and Badiou through the structural differences and similarities between possible and fictional worlds. While Deleuze actualises possible worlds, Badiou actualises fictional worlds. The second part explores worlds as political fictions, revisiting Kant’s conception of cosmopolitanism via Rancière’s definition of politics as a conflict of worlds. Rancière’s formulation of political dissensus in fictional and narrative terms sheds a new light on Kant’s description of cosmopolitanism as a perspective that presents history as a novelistic narrative. (shrink)

Las interpretaciónes de la física cuántica de Everett-DeWitt hablan de una multiplicidad de mundos físicamente coexistenrtes. Éstas imaginativas reacciones a los problemas conceptuales de la mecánica cuántica estándar forman una família de propuestas de “universos múltiples” que, sin pleno éxito, han sido tachadas de incoherentes.Everett-DeWitt interpretations of quantum physics speak of a multiplicity of physically coexisting worlds. These imaginative reactions to the conceptual problems of standard quantum mechanics form a family of physicalist “many-worlds” proposals that have been variously (...) dismissed as “incoherent”, so far without full success. A renewed charge by Hilary Putnam now seems to pose deeper trouble for PMW. In a recent paper, he seizes on “Schrödinger’s cat” situations to expose how PMW relativization of actuality and basic combinatorics jointly ruin probabilistic talk. Putnam focuses on confirmation and luck. His case against PMW is thought-provoking but also questionable, or so I suggest in this paper. First I argue that, as presented, Putnam’s charge doesn’t go through. I then consider his argument proper. According to Putnam, experimental DeWittians must count themselves as “lucky” in a seriously incoherent sense. I consider his take on “luck” and deny that defenders of PMW need to so regard themselves. Although extravagant, their position cannot be fruitfully dismissed as incoherent on metascientific grounds. Indeed it attests to the way science rationally helps the imagination to grow. (shrink)

The datafication and digitalization of health and medicine has engendered a proliferation of new collaborations between public health institutions and data corporations like Google, Apple, Microsoft and Amazon. Critical perspectives on these new partnerships tend to frame them as an instance of market transgressions by tech giants into the sphere of health and medicine, in line with a “hostile worlds” doctrine that upholds that the borders between market and non-market spheres should be carefully policed. This article seeks to outline (...) the limitations of this common framing for critically understanding the phenomenon of the Googlization of health. In particular, the mobilization of a diversity of non-market value statements in the justification work carried out by actors involved in the Googlization of health indicates the co-presence of additional worlds or spheres in this context, which are not captured by the market vs. non-market dichotomy. It then advances an alternative framework, based on a multiple-sphere ontology that draws on Boltanski and Thevenot’s orders of worth and Michael Walzer’s theory of justice, which I call a normative pragmatics of justice. This framework addresses both the normative deficit in Boltanski and Thevenot’s work and provides an important emphasis on the empirical workings of justice. Finally, I discuss why this framework is better equipped to identify and to address the many risks raised by the Googlization of health and possibly other dimensions of the digitalization and datafication of society. (shrink)

Peter Byrne tells the story of Hugh Everett III (1930-1982), whose "many worlds" theory of multiple universes has had a profound impact on physics and philosophy. Using Everett's unpublished papers (recently discovered in his son's basement) and dozens of interviews with his friends, colleagues, and surviving family members, Byrne paints, for the general reader, a detailed portrait of the genius who invented an astonishing way of describing our complex universe from the inside. Everett's mathematical model (called the "universal (...) wave function") treats all possible events as "equally real", and concludes that countless copies of every person and thing exist in all possible configurations spread over an infinity of universes: many worlds. Afflicted by depression and addictions, Everett strove to bring rational order to the professional realms in which he played historically significant roles. In addition to his famous interpretation of quantum mechanics, Everett wrote a classic paper in game theory; created computer algorithms that revolutionized military operations research; and performed pioneering work in artificial intelligence for top secret government projects. He wrote the original software for targeting cities in a nuclear hot war; and he was one of the first scientists to recognize the danger of nuclear winter. As a Cold Warrior, he designed logical systems that modeled "rational" human and machine behaviors, and yet he was largely oblivious to the emotional damage his irrational personal behavior inflicted upon his family, lovers, and business partners. He died young, but left behind a fascinating record of his life, including correspondence with such philosophically inclined physicists as Niels Bohr, Norbert Wiener, and John Wheeler. These remarkable letters illuminate the long and often bitter struggle to explain the paradox of measurement at the heart of quantum physics. In recent years, Everett's solution to this mysterious problem - the existence of a universe of universes - has gained considerable traction in scientific circles, not as science fiction, but as an explanation of physical reality. (shrink)

Proponents of the hard problem of consciousness argue that the zombie and inverted spectrum thought experiments demonstrate that consciousness cannot be physical. They present scenarios designed to demonstrate that it is conceivable that a physical replica of someone can have radically different or no conscious experiences, that such an experience-less replica is possible and therefore that materialism is false. I will argue that once one understands the limitations that the physics of this world puts on cognitive systems, zombies and (...) the inverted spectrum are not conceivable. (shrink)

The paper addresses the question of whether, as Nanda claims, treating all knowledge traditions including science as local, denies the possibility of criticism. It accepts the necessity for criticism but denies that science can be the sole arbiter of truth and argues that we have to live with holding differing knowledges in tension with one another.

An influential theory has it that metaphysical indeterminacy occurs just when reality can be made completely precise in multiple ways. That characterization is formulated by employing the modal apparatus of ersatz possible worlds. As quantum physics taught us, reality cannot be made completely precise. I meet the challenge by providing an alternative theory which preserves the use of ersatz worlds but rejects the precisificational view of metaphysical indeterminacy. The upshot of the proposed theory is that it (...) is metaphysically indeterminate whether p just in case it is neither true nor false that p, and no terms in ‘p’ are semantically defective. In other words, metaphysical indeterminacy arises when the world cannot be adequately described by a complete set of sentences defined in a semantically nondefective language. Moreover, the present theory provides a reductive analysis of metaphysical indeterminacy, unlike its influential predecessor. Finally, I argue that any adequate logic of a language with an indeterminate subject matter is neither compositional nor bivalent. (shrink)

Previous research has suggested that an effective strategy for debiasing judgments is to have participants "consider the opposite." The present research proposes that considering any plausible alternative outcome for an event, not just the opposite outcome, leads participants to simulate multiple alternatives, resulting in debiased judgments. Three experiments tested this hypothesis using an explanation task paradigm. Participants in all studies were asked to explain either 1 hypothetical outcome (single explanation conditions) or 2 hypothetical outcomes (multiple explanation conditions) to (...) an event; after the explanation task, participants made likelihood judgments. The results of Studies 1 and 2 indicated that debiasing occurred in all multiple explanation conditions, including those that did not involve the opposite outcome. Furthermore, the findings indicated that debiased judgments resulted from participants' spontaneous consideration of additional alternatives in making their likelihood judgments. The results of Study 3 also identified the perceived plausibility of the explained alternative as an important moderating variable in debiasing. (shrink)

We propose a new class of multiple contraction operations — the system of spheres-based multiple contractions — which are a generalization of Grove’s system of spheres-based (singleton) contractions to the case of contractions by (possibly non-singleton) sets of sentences. Furthermore, we show that this new class of functions is a subclass of the class of the partial meet multiple contractions.

Husserl’s phenomenology entails the absolute thesis that there could not be a world without a subject. My intention in this paper is to show that the consistent development of a phenomenological approach can establish that such a transcendental subject must be defined as a fundamental open intersubjectivity and more radically as interanimality. I intend to demonstrate that anthropomorphism cannot be a serious threat and that Einfühlung [empathy] is a valid method for studying animality. In this regard, I will contrast a (...) Husserlian-inspired and a Merleau-Pontian approach with Heidegger’s reflections on animals. This method will allow me to study the intertwinement between humans and other animals. On the one hand I will show that we necessarily find animality within us, in the latent multiplicity of a body which is built through introjections and projections. On the other hand I will wonder if it is possible to decenter ourselves into other living beings so as to sense what they think and to build a world with them. It will then appear, through a reflection on Merleau-Ponty’s The Visible and the Invisible as well as on recent ethological studies, that openness to the other and to indeterminacy is an essential characteristic of animals in general. (shrink)

This paper describes the lifeworld of one individual, Ann, in an attempt to elucidate the existential impact of early stage multiple sclerosis. Drawing on Ann's own reflections captured in a relatively unstructured interview, I construct a narrative around her first year of living with the diagnosis. Then, existential-phenomenological analysis reveals how Ann's life - lived in and through a particular body and lifeworld context - is disrupted. The unity between her body and self can no longer be taken for (...) granted. The existential possibilities inherent in her lived body are diminished and have to be renegotiated. Her sense of identity, project, relations with others and present/future plans are threatened. Ann's illness is encountered in the context of her life activities and relationships. This is the intertwining of body, self and world. To live with multiple sclerosis is to experience a global sense of disorder - a disorder which incorporates a changed relation with one's body, a transformation in the surrounding world, a threat to the self, and a change in one's relation to others. (shrink)

Globalization impacts on education everywhere; it is impossible to consider issues of curriculum or pedagogy without bearing in mind the effects of globalization. Here I consider to what extent it is possible to imagine curricula and pedagogies which could function at a global level? I do so from an anglo-phone perspective, from within the UK in the early part of the 21st century. The challenge is to develop means of analysis which allow distanced reflection on local issues and at (...) the same time facilitate descriptions at a global level, relatively free of the ‘skew’ of the local. The article deals with four issues: dominant myths which still govern contemporary thinking about education; addressing the transitional generation, a generation which straddles the shifts produced by the fault-lines in present social and political transitions of arrangements of power and authority; the characteristics and effects of present and likely future environments of learning, distinct historically and geographically; and the urgent need to develop apt theories of learning, that is, theories of learning which are apt for these new givens. What unites all these is the commonality of the experience of learning in a world of instability and multiplicity of meaning. (shrink)

The world (specifically the universe in which modern mankind, the same below) there is no absolute essence. The world's primitive also has uncertainty; the existence of all is possible. On the universe in which modern human live, the unity and distinction of material and spirit constitute the world's basic contradiction. (1) The unity of material and spirit. Many have a negative in the overall delicate generation: the material includes the spirit, the spirit depends on the material, among them under (...) certain conditions can be transformed into each other. (2) The material and spirit is distinct: The material is essentially an objective system, the objective freedom is the essence of the spirit.The collection system is the unity of opposites; freedom is relative to the state system. (3) The spirit and awareness are two different concepts, it is necessary to distinguish between. Material and the sense of confrontation: the material is an objective reality, subjective consciousness is reflected. (4) The material and the sense of unity: the material is the source of awareness, consciousness is a product of material; material decides consciousness, awareness counterproductive in the material. Material and a sense of the unity of opposites minor contradictions in the world. (5) World of certainty and uncertainty, know and unknown, relative and absolute, as well as activity problems are dialectical. (6) Dialectics generally applicable to the entire world, but also dialectical view of its own, it should be the development of a multiple, three-dimensional, not the sleek dialectics. (shrink)

This article is a critical appraisal of the two-level model of Holger Thesleff as an interpretive paradigm for the philosophy of Plato. The primary emphasis is on the metaphysics of the model, which revolves around the idea of a single world composed of two levels. Conceived as an alternative to the dualism of worlds traditionally attributed to Plato, the levels in question complement each other in a symbiotic relationship between intelligible phenomena and sensible matter, which jointly account for the (...) whole of reality without the complications associated with a multiplication of worlds. The principal complication in the latter scenario is the difficulty of meaningful interaction under circumstances of radical separation, especially with a strict segregation requiring two different worlds: one for transcendent Forms, one for instantiating particulars. That difficulty does not even come up in the two-level model, which confines everything to a single world, where the possibility of interaction is not undermined by the reality of separation or the severity of segregation. The two-level model avoids that issue altogether by keeping everything together. A purported problem with this monistic alternative, on the other hand, is the inherent impediment to transcendence within a single world, where there would seem to be no room for the requisite ascension. How indeed can anything transcend the only place that exists? Promoting a solitary world as the intended framework for Plato’s metaphysics ostensibly requires retaining some semblance of transcendence, or else providing an acceptable alternative to it, while compressing everything into the same reality. The ultimate goal of the present article is to show why, given a natural challenge to both approaches, that is, despite an apparent obstacle to either perspective, the two-level model is preferable to the two-world alternative. Progress toward that end unfolds as an effort to illustrate and vindicate the way Thesleff meets the methodological challenge to his brand of monism with a philosophical vision originating with Plato himself. (shrink)

Counterfactual attitudes like imagining, dreaming, and wishing create a problem for the standard formal semantic theory of de re attitude ascriptions. I show how the problem can be avoided if we represent an agent's attitudinal possibilities using "multi-centered worlds", possible worlds with multiple distinguished individuals, each of which represents an individual with whom the agent is acquainted. I then present a compositional semantics for de re ascriptions according to which singular terms are "assignment-sensitive" expressions and attitude (...) verbs are "assignment shifters". (shrink)

The Gathas, a corpus of seventeen poems in Old Avestan composed by the ancient Iranian poet-priest Zarathushtra (Zoroaster) ca. 1200 B.C.E., is the foundation document of Zoroastrian religion. Even though the dualistic axiology of the Gathas has been widely noted, it has proved very difficult to understand the meaning and genre of the corpus or the position of Zarathushtra’s ideas with regard to other religious philosophies. Relying on recent advances in translation and decryptions of Gathic poetry, I shall here develop (...) a philosophical interpretation of the Gathas, including, as shall be discussed here in detail, explication of the revelation he reports in the poem known as Yasna 30. I argue that, similarly to Marx, Henry, and Schutz, Zarathushtra connects social criticism with an original philosophy of (inter)subjectivity and existential reflection, placing his account in the context of a fully developed metaphysics which includes the human-divine sharing of mental properties. I show that in order to accommodate this complicated problematic, Zarathushtra uses the vehicle of multiple realities. Reflecting the spontaneity of life, the dynamics of various ontological modes in the text create a reference to subjectivity. A description of the dream in Yasna 30 is sufficiently within the limits of possibility for a dream experience, and thereby delivers three original phenomenological reductions. The reductions initiate a genetic account of the phenomenalization of invisible impulses which give rise to moral choices, and define the human-divine relationship. The opposing moral choices open into a reverse axiological intentionality in the sphere of intersubjectivity, and are said to plot life for the rightful and lifelessness for the wrongful. It can be concluded that Zarathushtra’s theism and views of the social world are “the first philosophy”, with a unique and original phenomenological ontology of intersubjectivity at its core. (shrink)

If the brain has a level of quantum functioning that permits superposition of possibilities and nonlocal control of states, then new answers to the problem of the consciousness/brain relation become available. My discussion is based on Yasue and co-workers’ account of a quantum field theory of brain functioning, called ‘quantum brain dynamics’. In the framework developed each person can properly state: ‘I am nonlocal control and my meanings are control variables.’ Cognition is identified with a conjugate reality and perception is (...) where quantum cognition, quantum memory and the quantum re-presentation of quantum reality meet and make a conjugate match. A new problem arises with regard to the world, however, since on this interpretation the one world-in-common is relinquished in favour of multiple parallel world-thrownnesses. But since quantum physics remains to this day deeply uncommonsensical, we should not hope to provide quantum solutions in consciousness studies without overturning the deepest convictions of common sense. (shrink)

In this paper I explore the various meanings of embodiment from a patient’s perspective. Resorting to phenomenology of health and medicine, I take the idea of ‘lived experience’ as starting point. On the basis of an analysis of phenomenology’s call for bracketing the natural attitude and its reduction to the transcendental, I will explain, however, that in medical phenomenological literature ‘lived experience’ is commonly one-sidedly interpreted. In my paper, I clarify in what way the idea of ‘lived experience’ should be (...) revisited and, subsequently, what this reconsideration means for phenomenological research on embodiment in health and medicine. The insight that the body is a condition of possibility for world-disclosing yet, at the same time, itself conditioned by this world forces us to not only zoom in on the body’s subject-side, but also on its object-side. I argue that in order to render account for this double body ontology, phenomenology should include empirical sociological analyses as well. I thus argue in favor of the idea of a socio-phenomenology. Drawing on material from my own research project on embodied self-experiences after breast surgery, I show how this approach can be fruitful in interpreting the impact of disfigurements on a person’s embodied agency, or a person’s ‘I can’. (shrink)

Return from Exile: A Theory of Possibility challenges the modern understanding of possibility, which dates back to Leibniz and sees possibility as evasion, as irrelevant to the actual world. It offers an alternative account where reality is literally constituted of multiple possibilities.

A question that has been largely overlooked by philosophers of religion is how God would be able to effect a rational choice between two worlds of unsurpassable goodness. To answer this question, I draw a parallel with the paradigm cases of indifferent choice, including Buridan's ass, and argue that such cases can be satisfactorily resolved provided that the protagonists employ what Otto Neurath calls an ‘auxiliary motive’. I supply rational grounds for the employment of such a motive, and then (...) argue against the views of Leibniz and Nicholas Rescher to show that this solution would also work for God. (shrink)

The relationship between the One and the Multiple in mystic philosophy is a profound and central theme that explores the nature of existence, the cosmos, and the divine. This theme is present in various mystical traditions, including those of the East and West, and it addresses the paradoxical coexistence of the unity and multiplicity of all things. -/- In mystic philosophy, the **One** often represents the ultimate reality, the source from which all things emanate and to which all things (...) return. It is the absolute, the infinite, and the unchanging. The One is beyond all attributes and is often associated with the divine or the absolute truth. -/- The **Multiple**, on the other hand, represents the manifest world, the diversity of forms, and the realm of change and plurality. It is the world we experience through our senses, the domain of time and space, where differentiation and individuality are apparent. -/- The relationship between the One and the Multiple is not one of opposition but of emanation and unity. The Multiple is seen as a reflection, expression, or manifestation of the One. In this sense, the diversity of the world doesn’t contradict the unity of the One but rather demonstrates it in a myriad of forms. -/- Mystics seek to understand and experience this relationship through various practices and insights. They aim to transcend the illusion of separation and duality to experience the non-dual reality where the One and the Multiple are recognized as inseparable. -/- This concept can be illustrated by the metaphor of the ocean and its waves. The ocean represents the One—vast, deep, and all-encompassing—while the waves represent the Multiple—distinct, diverse, and ever-changing. Each wave is unique, yet it is not separate from the ocean. The wave’s existence is dependent on and made of the same substance as the ocean. In the same way, each individual entity in the Multiple is an expression of the One. -/- In summary, the relationship between the One and the Multiple in mystic philosophy is a dynamic interplay that challenges the conventional understanding of separation. It invites a deeper exploration of reality, where the apparent multiplicity of the world is a direct expression of the singular, underlying essence of all that is. -/- The relationship between the One and the Multiple in the context of mathematical philosophy is a profound topic that touches upon the very foundations of existence and knowledge. It’s a theme that has been explored by philosophers and mathematicians alike, often leading to the contemplation of unity and diversity within the structures of reality. -/- In mathematics, the concept of the One can be seen as the basis of unity from which all numbers derive. It’s the identity element in multiplication, the starting point in counting, and the foundation of dimension in geometry. The One is often associated with the concept of monism in philosophy, which posits that there is a single, underlying substance or principle that constitutes reality. -/- On the other hand, the Multiple represents the infinite variety and diversity of forms and numbers that arise from the One. It’s the embodiment of plurality and the complex interplay of different entities that mathematics seeks to understand and describe. This reflects the philosophical stance of pluralism, which acknowledges the existence of multiple realities or truths. -/- The interplay between the One and the Multiple can be seen in the mathematical concept of sets. A set can be thought of as a unity, a whole composed of distinct elements. Yet, each element within the set also retains its individuality, contributing to the diversity of the set’s composition. This duality is mirrored in the philosophical exploration of the universal and the particular, where the universal represents the One, and the particulars represent the Multiple. -/- In the realm of mathematical philosophy, this relationship often leads to questions about the nature of mathematical objects: Are they discovered as part of an objective reality (the One), or are they constructed by the human mind from a multitude of experiences (the Multiple)? This debate resonates with the philosophical inquiry into the nature of truth and reality. -/- Reflecting on the One and the Multiple can also lead to a deeper understanding of the self and the cosmos. Just as the number one is integral to the existence of all other numbers, the individual self can be seen as a unique expression of the universal whole. Similarly, the cosmos can be viewed as a grand unity composed of a multiplicity of forms and phenomena. -/- Gödel’s incompleteness theorems have a fascinating connection to the philosophical concepts of the One and the Multiple. These theorems, which are pivotal in mathematical logic and philosophy of mathematics, articulate the inherent limitations of formal axiomatic systems, particularly those sufficient to express the arithmetic of natural numbers. -/- Gödel’s incompleteness theorems have a fascinating connection to the philosophical concepts of the One and the Multiple. These theorems, which are pivotal in mathematical logic and philosophy of mathematics, articulate the inherent limitations of formal axiomatic systems, particularly those sufficient to express the arithmetic of natural numbers⁴. -/- The **first incompleteness theorem** reveals that within any such consistent system, there are propositions that are true but cannot be proven within the system itself. This reflects the idea of the Multiple in that there is an abundance of mathematical truths, a multiplicity that exceeds the unifying framework of any one system. It suggests that the realm of mathematical truth is more extensive than any single formal system can fully capture. -/- The **second incompleteness theorem** extends this by showing that a system cannot prove its own consistency. This relates to the concept of the One, as it implies that a system’s complete self-understanding, its unity and coherence, is unattainable from within. It must look beyond itself, to an external vantage point, to ascertain its consistency. -/- In the context of the One and the Multiple, Gödel’s theorems imply that the One (a consistent formal system) is inherently incomplete and cannot encompass the Multiple (the totality of mathematical truths). This resonates with philosophical discussions about the relationship between unity and plurality. Just as a single philosophical system cannot capture the entirety of truth, a single formal mathematical system cannot encapsulate all mathematical truths. -/- Moreover, Gödel’s work suggests that the pursuit of a single, unified theory of everything in mathematics—a One that encompasses all Multiples—is an inherently Sisyphean task. There will always be more truths (Multiples) than can be derived from any given set of axioms (the One). -/- In essence, Gödel’s incompleteness theorems provide a formal underpinning to the philosophical notion that the One cannot exist without the Multiple, and vice versa. They are interdependent, with the One giving rise to the Multiple, and the Multiple necessitating the One for its expression and comprehension. This interplay is a dance of limitations and possibilities, where the boundaries of logic, mathematics, and philosophy blur into one another. -/- The relationship between the One and the Multiple in the context of the mathematics of zero is a deeply philosophical inquiry that bridges the abstract world of numbers with the existential questions of being and non-being. -/- Zero, in mathematics, is a symbol of absence, a representation of nothingness, yet it holds a pivotal position as a number. It is the void from which all things emerge and to which they return. In the philosophy of mathematics, zero is the paradoxical junction where the One and the Multiple converge and diverge. -/- From the perspective of the One, zero can be seen as the origin—the singular point that precedes the existence of numbers. It is the empty set, the foundation upon which the edifice of mathematics is constructed. As the identity element in addition, zero maintains the integrity of numbers, for adding zero to any number leaves it unchanged, reflecting the immutable nature of the One. -/- Conversely, when we consider the Multiple, zero represents the infinite potentiality of creation. It is the canvas upon which the integers, both positive and negative, express their multitude. Zero is the balance point, the fulcrum around which the symphony of numbers dances. It embodies the plurality of possibilities, the beginning of the number line that stretches infinitely in both directions. -/- Philosophically, zero challenges our understanding of existence. It is both something and nothing—a number that quantifies the absence of quantity. This duality echoes the philosophical struggle to comprehend how the One gives rise to the Multiple. How does the unity of being manifest the diversity of the cosmos? Zero offers a mathematical metaphor for this mystery, as it encapsulates the transition from non-existence to existence, from the undifferentiated One to the differentiated Multiple. -/- In the realm of set theory, zero corresponds to the empty set—a set with no elements. This set is unique in that it is the only set that contains nothing, yet it is the foundation upon which all other sets are built. The empty set is the mathematical embodiment of the One, and all other sets, containing multiple elements, arise from it. -/- Reflecting on zero in the context of Gödel’s incompleteness theorems, we find a resonance with the idea that the One (a consistent formal system) cannot capture the entirety of the Multiple (the totality of mathematical truths). Zero, as the foundation of numbers, similarly suggests that from the nothingness of the One, the infinite complexity of the Multiple emerges—yet it can never be fully encompassed or expressed by any single system. -/- In conclusion, the mathematics of zero offers a profound reflection on the relationship between the One and the Multiple. It serves as a bridge between the abstract and the concrete, the known and the unknowable, challenging us to ponder the origins of existence and the nature of reality itself. -/- . (shrink)

This paper models knowledge in cases where an agent has multiple experiences over time. Using this model, we introduce a series of observations that undermine the pretheoretic idea that the evidential significance of experience depends on the extent to which that experience matches the world. On the basis of these observations, we model knowledge in terms of what is likely given the agent’s experience. An agent knows p when p is implied by her epistemic possibilities. A world is epistemically (...) possible when its probability given the agent’s experiences is not significantly lower than the probability of the actual world given that experience. (shrink)

Cultural historical research has deliberately challenged “historical realism,” the view that history is comprised entirely of observable actions that actually occurred, and instead has emphasized the historical significance of thoughts, emotions, and representations; it has also focused on the invisible, the momentary, and the perishable. These latter elements introduce the notion of the possible in history. This article examines the ways in which cultural history has approached the notion of the possible, as well as the methodological and theoretical (...) implications of this approach. Its chief claim is that the idea of possibility is fundamental for the concept of culture and ineliminable from its historical study.The question of possibility is present in multiple ways in the study of history; it is important to distinguish among different levels of possibility. The possible may mean, for instance, what it is possible for historians to know about the past, or the possibilities open to historical agents themselves, or, indeed, the possibilities they perceived themselves as having even if these seem impossible from the point of view of the historian. The article starts with the first aspect and moves on toward the possibilities that existed in the past world either in fact or in the minds of those in the past.The article argues that the study of past cultures always entails the mapping of past possibilities. The first strand of the essay builds on the metaphor of the black hole and intends to solve one of the central problems faced by cultural historians, namely, how to access the horizon of the people of the past, their experience of their own time, especially when the sources remain silent. The second, more speculative strand builds on the notion of plenitude and is designed to open up avenues for further discussion about the concept of culture in particular. (shrink)

Aunque inicialmente la propuesta de A. Schütz resulta esclarecedora y sugerente, sin embargo, al proponer hablar de ámbitos finitos de sentido en lugar de realidades múltiples, se puede encubrir una posibilidad de mala interpretación del proyecto trascendental de la fenomenología. Ello estaría en función de la gran importancia que detenta en Schütz no sólo la actitud natural, sino el mundo de la “realidad práctica”. Me propongo plantear esta problemática a la luz del proyecto husserliano de fenomenología trascendental presentado en Ideen (...) I.Although initially the proposal of A. Schütz is enlightening and suggestive, nevertheless, on having proposed to speak about finite provinces of meaning instead of multiple realities, it is possible to conceal a possibility of bad interpretation of the transcendental project of Phenomenology. It would be depending on the great importance that holds in Schütz not only the natural attitude, but the world of the “practical reality”. I intend to raise this issue in the light of Husserls transcendental phenomenology project presented in Ideen I. (shrink)

In Plato, ‘Becoming like God’ constitutes the telos of the philosophical life. Our ‘likeness to God’ is rooted in the relationship of the divine paradeigma to its image established in the generation of the Cosmos. This relationship makes knowledge and virtue possible, and informs Plato’s theory of education. Related concepts preexist in Judeo-Christian and other traditions and continue to inform our thought on moral and ethical issues, particularly as regards our understanding of what it means to be human. From (...) the idea of ‘likeness to God’, emerges the tradition of philosophical mysticism which has its roots in Plotinus, whose aim is union of the individual soul with its ultimate principle (henosis, unio mystica). The task of realizing virtue in daily life appears opposed to assimilation to the divine, because the latter requires a stripping away of finite determinations, and preoccupation with particular things, in order that we may escape from the multiplicity of sensible and even intelligible reality. This article considers the opposition between ‘worldly’ and ‘otherworldly’ virtue, as well as previously neglected aspects of ‘likeness to God’ and ‘becoming like God’ in Plato and Plotinus, and explores their continued relevance for pedagogical theory and practice today. (shrink)

his monograph examines the metaphysical commitments of the new mechanistic philosophy, a way of thinking that has returned to center stage. It challenges a variant of reductionism with regard to higher-level phenomena, which has crystallized as a default position among these so-called New Mechanists. Furthermore, it opposes those philosophers who reject the possibility of interlevel causation. Contemporary philosophers believe that the explanation of scientific phenomena requires the discovery of relevant mechanisms. As a result, new mechanists are, in the main, concerned (...) solely with epistemological questions. But, the author argues, their most central claims rely on metaphysical assumptions. Thus, they must also take into account metaphysics, a system of thought concerned with explaining the fundamental nature of being and the world around it. This branch of philosophy does indeed matter to the empirical sciences. The chapters investigate the nature of mechanisms, their components, and the ways in which they can bring about different phenomena. In addition, the author develops a novel account of causation in terms of activities. The analysis provides the basis for many further research projects on mechanisms and their relations to, for example, the mind-body problem, realization, multiple realization, natural kinds, causation, laws of nature, counterfactuals, and scientific levels. (shrink)

The paper outlines the explicatory frame of Eco's understanding of the multiplicity of signs. Its starting point is the conception of truth as a multi-essence. The signs, however, do not have their origin in simple construction of the social world: it must be decoded by menas of multilayer signs, referring not only to themselves, but also to their connection with other signs. It is the principle of structurated combination, i e. the method of combinating anlaogies across the filed of interaction, (...) which makes the reading of sings as mlutiple essences possible. Other possible layeres of interpretation are then discovered by other uses of combinations provided by the multiplicity of the sign. This regime of recombinating layeres and contextual fields enables Eco to make interpretatory shifts due to which the truth can be seen as one version of the "floating" of the sign in the interactive field of essences. (shrink)

A form of context-appropriate verificationism is proposed that distinguishes between scientific theories as evolving systems of ideas and operationally-specified, testable formal-empirical models. Theories undergo three stages (modes): a formative, exploratory, heuristic phase of theory conception, a developmental phase of theory-pruning and refinement, and a mature, rigorous phase of testing specific, explicit models. The first phase depends on Feyerabendian open possibility, the second on theoretical plausibility and internal coherence, and the third on testability (falsifiability, predictive efficacy). Multiple perspectives produce variety (...) necessary for theory formation, whereas explicit agreement on evaluative criteria is essential for testing. Hertzian observer-mechanics of empirical-deductive scientific models are outlined that use semiotic operations of measurement/evaluation, computation, and physical action/construction. If models can be fully operationalized, then they can be intersubjectively verified (tested) irrespective of metaphysical, theoretical, value-, or culture-based disagreements. Verificationism can be expanded beyond simple predictive efficacy to incorporate testing for pragmatic, functional efficacy in engineering, medicine, and design contexts. Such a more open, pragmatist, operationalist, epistemically-constructivist perspective is suggested in which verification is contingent on the type of assertion (e.g., heuristic, analytic, empirical, pragmatic), its intended purpose, degree and reliability of model-based evidence, and existence of alternate, competing predictive models. Suggestions for epistemological hygiene amidst the world-wide pandemic of misinformation and propaganda are offered. (shrink)

This study centers on a valuable specimen of the early vernacular Chinese novel, San Sui pingyao zhuan, to explore dynamic possibilities at the formative stage of the Chinese novel. Close inspection of the physical aspects of the extant edition of the work suggests it is a reprint bearing traces of multiple earlier editions. The analysis of the obscure chuanqi play Si xi ji shows that the story tradition of “Three Sui quelling the rebels” already existed in the mid-sixteenth century. (...) San Sui pingyao zhuan shares much common ground with early zaju drama, fifteenth-century cihua (chantefables), and pinghua (historical novels). Linking this novel with other early examples of popular literature that preceded or were contemporaneous with it, my study deepens our understanding of the formation of the early vernacular novel as well as the world of popular literature in which the novel was situated. (shrink)

Philosophers often devote their most painstaking work to distinguishing their own thought from that of philosophers with whom they, in fact, share a great affinity. One of the foremost challenges to Platonic thought has been to qualify its assertion that the One, although beyond being, is the ultimate principle of reality. For to assert the primacy of the One in certain philosophical contexts might seem to exclude the reality of multiplicity. Yet Platonic thought does not hold that multiplicity is simply (...) an illusion: the phenomenal world cannot be reduced to the One. Platonists and Neoplatonists have therefore constructed arguments to show why they are not committed to a position like that of Parmenides, who... (shrink)

According to classical molecular chemistry, molecules have a structure, that is, they are sets of atoms with a definite arrangements in space and held together by chemical bonds. The concept of molecular structure is central to modern chemical thought given its impressive predictive power. It is also a very useful concept in chemistry education, due to its role in the rationalization and visualization of microscopic phenomena. However, such a concept seems to find no place in the ontology described by quantum (...) mechanics, since it appeals to classical notions such as the position of the atomic nuclei or the individuality of electrons. Although this problem has attracted the attention of several authors, the discussion is far from settled. Some authors adopt an explicitly reductionist position and advocate to reconstruct the concept of molecular structure within the framework of the quantum theory. Others, although acknowledging the conceptual discontinuity between quantum mechanics and molecular chemistry, keep the hope of future reduction alive. From an explicitly non-reductionist position, on the contrary, others authors conceive molecular structure as an emergent phenomenon. The purpose of this article is to propose a different line of argumentation to address this problem. By contrast to reduction and emergence, the admission of a multiplicity of ontologies, not necessarily linked by hierarchical connections, cancels the need of finding a relation of dependence between the molecular level and the quantum level. This ontologically pluralist position can be applied to the issue of molecular structure, in order to argue that it is possible to admit the existence of structure in the ontology of molecular chemistry, in spite of the fact that it does not exist in the quantum world. (shrink)

In this paper, we turn to the philosophy of Jean-Luc Nancy. In his work La Création du Monde ou la Mondialisation of 2002 the French philosopher analyses the process of globalisation. Rather than denoting a new homogeneity, the term refers to a world horizon characterized in its interpalpable multiplicity of cultural, socio-economical, ideological and politico-moral content. According to Nancy, globalisation refers to ag-glome-ration: the decay of what once was a globe and now nothing more than a glome. On the one (...) hand, Nancy indicates that the world has changed by an unknown increase of techno-science, the worsening of inequalities between growing populations and by the changing and disappearing of given certainties, views and identities of the world and of man. On a large scale, this deformation is due to the relation between the capitalist evolution and the capitalising of worldviews. On the other hand, due to the inter-palpability of the multiplicity, this means that on our planet there is only space for one world. The world gradually becomes the only world. In this paper we will investigate what Nancy means with the becoming-world of the world and how this relates to our being in the world. For Nancy globalisation reveals two possible destinies of our relation with the world. In La Création du Monde ou la Mondialisation he discerns globalisation from mondialisation to analyze these two possibilities. We will investigate this distinction of Nancy and its consequences for everyday life. (shrink)

Drawing upon the life and work of S. Kay Toombs, I explore the impact and import of phenomenological accounts of disability for the existentialist tradition. Through the case of multiple sclerosis, a noncongenital, late-onset, and degenerative disability, I show how the general structures that emerge from its lived experience largely support a mere-difference view of disability and highlight the need for an equitably habitable world. I further argue that phenomenological accounts of disability demonstrate accessibility to be the defining feature (...) of what it means to be embodied as we are. I conclude with a discussion of the more general philosophical relationship between disability, embodiment, and existentialism. (shrink)

Political conflict in our society is inevitable, and the results are often far from negative. How then should we deal with the intractable differences arising from complex modern culture? Developing her groundbreaking political philosophy of agnostics--the search for a radical and plural democracy--Chantal Mouffe examines international relations, strategies for radical politics, the future of Europe and the politics of artistic practices. She shows that in many circumstances where no alternatives seem possible, agonistics offers a new road map for change. (...) Engaging with cosmopolitanism, post-operaism, and theories of multiple modernities she argues in favor of a multipolar world with a real cultural and political pluralism. -- Publisher's website. (shrink)

ABSTRACTIt is conventional wisdom that the laws of physics that govern our everyday world are different from those that explain the smallest particles and forces. Alexander Wendt argues that, to the contrary, quantum theory in fact can apply to the larger-scale world, and to human behavior as well. An alluring possibility to be sure, but we may need multiple theories of different types to explain diverse human behavior and behavioral patterns. Theories, furthermore, can be self-confirming or self-denying. In quantum (...) theory, classical physics, and social life, uncertainty looms large and political leaders in particular face multiple choices in dealing with it, including whether attempts to reduce uncertainty will change the world to their detriment. In these efforts, they often conflate estimates of likelihood with judgments of confidence and incorrectly assume that an estimate that an event is unlikely is flawed if the event actually occurs. (shrink)

Laurel Schneider takes the reader on a vivid journey from the origins of "the logic of the One" - only recently dubbed monotheism - through to the modern day, where monotheism has increasingly failed to adequately address spiritual, scientific, and ethical experiences in the changing world. In Part I, Schneider traces a trajectory from the ancient history of monotheism and multiplicity in Greece, Israel, and Africa through the Constantinian valorization of the logic of the One, to medieval and modern challenges (...) to that logic in poetry and science. She pursues an alternative and constructive approach in Part II: a "logic of multiplicity" already resident in Christian traditions in which the complexity of life and the presence of God may be better articulated. Part III takes up the open-ended question of ethics from within that multiplicity, exploring the implications of this radical and realistic new theology for the questions that lie underneath theological construction: questions of belonging and nationalism, of the possibility of love, and of unity. In this groundbreaking work of contemporary theology, Schneider shows that the One is not lost in divine multiplicity, and that in spite of its abstractions, divine multiplicity is realistic and worldly, impossible ultimately to abstract. (shrink)

One recent trend in the philosophy of mathematics has been to approach the central epistemological and metaphysical issues concerning mathematics from the perspective of the applications of mathematics to describing the world, especially within the context of empirical science. A second area of activity is where philosophy of mathematics intersects with foundational issues in mathematics, including debates over the choice of set-theoretic axioms, and over whether category theory, for example, may provide an alternative foundation for mathematics. My central claim is (...) that these latter issues are of direct relevance to philosophical arguments connected to the applicability of mathematics. In particular, the possibility of there being distinct alternative foundations for mathematics blocks the standard argument from the indispensable role of mathematics in science to the existence of specific mathematical objects. (shrink)

This paper is an informal presentation of the ideas presented formally in ”Relative-Sameness Counterpart Theory”. Relative-sameness relations -- such as being the same person as -- are like David Lewis’s “counterpart” relations in the following respects: (i) they may hold over time or across worlds between objects that aren’t cross-time or cross-world identical (I propose), and (ii) there are a multiplicity of them, different ones of which may be variously invoked in different contexts. They differ from his counterpart relations, (...) however, in that they are weak equivalence relations (transitive, symmetric and weakly reflexive). The likenesses to counterpart relations make them suitable for an analysis of de-re temporal and modal predications. The difference renders the resulting counterpart theory immune to standard criticisms of Lewis’s Counterpart Theory (e.g., in Hazen 1979, and Fara and Williamson 2005). The use of sameness as opposed to similarity relations in the analysis of de-re temporal and modal predication renders the resulting truth conditions as statable in terms that proponents of Kripke’s identity-based analysis can accept. (shrink)

One of the fundamental components of the concept of economic rationality is that preference orderings are “complete,” i.e., that all alternative actions an economic agent can take are comparable. The idea that all actions can be ranked may be called the single utility assumption. The attractiveness of this assumption is considerable. It would be hard to fathom what choice among alternatives means if the available alternatives cannot be ranked by the chooser in some way. In addition, the efficiency criterion makes (...) sense only if one can infer that an individual's choice reflects the best, in expected welfare terms, among all choices that individual could have made. The possibility that a rearrangement of resources could make someone “better off” without making others “worse off” can be understood only if the post-rearrangement world is comparable with the pre-rearrange-ment world. (shrink)

Laurel Schneider takes the reader on a vivid journey from the origins of "the logic of the One" - only recently dubbed monotheism - through to the modern day, where monotheism has increasingly failed to adequately address spiritual, scientific, and ethical experiences in the changing world. In Part I, Schneider traces a trajectory from the ancient history of monotheism and multiplicity in Greece, Israel, and Africa through the Constantinian valorization of the logic of the One, to medieval and modern challenges (...) to that logic in poetry and science. She pursues an alternative and constructive approach in Part II: a "logic of multiplicity" already resident in Christian traditions in which the complexity of life and the presence of God may be better articulated. Part III takes up the open-ended question of ethics from within that multiplicity, exploring the implications of this radical and realistic new theology for the questions that lie underneath theological construction: questions of belonging and nationalism, of the possibility of love, and of unity. In this groundbreaking work of contemporary theology, Schneider shows that the One is not lost in divine multiplicity, and that in spite of its abstractions, divine multiplicity is realistic and worldly, impossible ultimately to abstract. (shrink)

Engaging the World explores Luce Irigaray’s writings on sexual difference, deploying the resources of her work to rethink philosophical concepts and commitments and expose new possibilities of vitality in relationship to nature, others, and to one’s self. The contributors present a range of perspectives from multiple disciplines such as philosophy, literature, education, evolutionary theory, sound technology, science and technology, anthropology, and psychoanalysis. They place Irigaray in conversation with thinkers as diverse as Charles Darwin, Claude Lévi-Strauss, Gilles Deleuze, René Decartes, (...) and Avital Ronell. While every essay challenges Irigaray’s thought in some way, each one also reveals the transformative effects of her thought across multiple domains of contemporary life. (shrink)

Urban Digital Twins (UDTs) have become the new buzzword for researchers, planners, policymakers, and industry experts when it comes to designing, planning, and managing sustainable and efficient cities. It encapsulates the last iteration of the technocratic and ultra-efficient, post-modernist vision of smart cities. However, while more applications branded as UDTs appear around the world, its conceptualization remains ambiguous. Beyond being technically prescriptive about what UDTs are, this article focuses on their aspects of interaction and operationalization in connection to people in (...) cities, and how enhanced by metaverse ideas they can deepen societal divides by offering divergent urban experiences based on different stakeholder preferences. Therefore, firstly this article repositions the term UDTs by comparing existing concrete and located applications that have a focus on interaction and participation, including some that may be closer to the concept of UDT than is commonly assumed. Based on the components found separately in the different studied cases, it is possible to hypothesize about possible future, more advanced realizations of UDTs. This enables us to contrast their positive and negative societal impacts. While the development of new immersive interactive digital worlds can improve planning using collective knowledge for more inclusive and diverse cities, they pose significant risks not only the common ones regarding privacy, transparency, or fairness, but also social fragmentation based on urban digital multiplicities. The potential benefits and challenges of integrating this multiplicity of UDTs into participatory urban governance emphasize the need for human-centric approaches to promote socio-technical frameworks able to mitigate risks as social division. (shrink)

In the following paragraphs, I will describe ten strategies through which we can show the weaknesses of every form of theism based on the "One God", while postulating that the Trinity is a good solution. This approach follows up on Swinburne’s claims about the existence of a priori and a posteriori proofs for the existence of the Trinity (his proofs are part of the sixth strategy). Clearly, these strategies are not “new”: they have been advocated by many thinkers in the (...) past and in the present. I merely revived them, and brought them together in a kind of cumulative reasoning: the strength of them arises when these strategies are considered together, showing that the Trinity is a reasonable hypothesis even though it is contradictory. The proposed strategies lead to the conclusion that there must exist in God something similar to what we call ‘real relations’ and ‘multiplicity’; and in order for God to be relational, there must exist in Him some “distincts” that relate to one another. This is postulated by philosophical reasoning, not just by Revelation, and regardless of the choice to support a process metaphysics. As Trinitarian theology contains the mystery of eternal generation, the strategies do account for the fact that in philosophy we contemplate the mystery of eternal self-distinction and of all the other ‘self-actions’ of the One. The eternal generation remains mysterious, but it is the idea that best helps us describe how God is (One and Triune) and how he creates the world. God must be Triune in every theistic system. The One God is, as One, also Triune. The Unity-Trinity of the Principle is the only apophatic point that we can reach from many quarters. Once autonomous paths of reason have established that God is a Person and Persons, One-Multiple, Creator (communicated), Free, Relational and Infinite possibility, it therefore emerges that our most reliable hypothesis is that of the Trinitarian God. (shrink)

A high level of complexity and a continuous and always changing relationship among its elements characterizes modern world society. As a result, a constant differentiation and specialization of diverging social fields aiming to reduce the uncertainty emerging from that complexity takes place. Paradoxically, as differentiation and specialization increase, they become a new source of uncertainty. In order to confront this self-producing ambiguity, some social operations develop structural interdependencies with a sufficient level of operational stability that distinguish them from their environment. (...) In this paper this is called contextual differentiation, i.e. the emergence of differentiated contexts of interaction, decision and symbolization that make possible a mutilayered concretization of social functions in supranational contexts. With regard to the differentiation of law, economy and sports this process is analyzed and illustrated in four case studies: the Bill & Melinda Gates Foundation, the Bank for International Settlements, FIFA, the game and its publics, and the international commercial arbitration. La sociedad mundial moderna se caracteriza por su alta complejidad, es decir, por la continuamente cambiante interrelación de sus elementos. El resultado de ello es una constante diferenciación y especialización de espacios sociales orientada a manejar la incertidumbre que esa complejidad genera. Paradójicamente, la diferenciación y especialización es nuevamente una fuente de complejidad. Para enfrentar esta ambigüedad auto-producida, determinadas operaciones sociales se distinguen por generar interdependencias estructurales que logran una estabilidad operacional suficiente para distinguirlas de su entorno. A ello se le denomina en este artículo diferenciación contextual, esto es, la emergencia de contextos diferenciados de interacción, decisión y simbolización que posibilitan una concretización múltiple de funciones sociales en espacios supranacionales. Esto se observa especialmente a propósito de la diferenciación del derecho, la economía y el deporte, y se ilustra con cuatro estudios de caso: la Bill & Melinda Gates Foundation, el Bank for International Settlements, la FIFA, el juego y sus públicos, y el arbitraje comercial internacional. (shrink)

One way to think logically about virtual reality systems is to think of them as interactive depictions of possible worlds. Leibniz's "Palace of the Fates" is probably the earliest description of an interactive virtual reality system. Leibniz describes a system for the simulation of possible worlds by a human user in the actual world. He describes a user-interface for interacting multiple possible worlds and their histories.