The concept of complementarity, originally defined for non-commuting observables of quantum systems with states of non-vanishing dispersion, is extended to classical dynamical systems with a partitioned phase space. Interpreting partitions in terms of ensembles of epistemic states (symbols) with corresponding classical observables, it is shown that such observables are complementary to each other with respect to particular partitions unless those partitions are generating. This explains why symbolic descriptions based on an ad hoc partition of an underlying phase space description (...) should generally be expected to be incompatible. Related approaches with different background and different objectives are discussed. (shrink)

Many commentators have remarked in passing on the resonance between deconstructionist theory and certain ideas of quantum physics. In this book, Arkady Plotnitsky rigorously elaborates the similarities and differences between the two by focusing on the work of Niels Bohr and Jacques Derrida. In detailed considerations of Bohr's notion of complementarity and his debates with Einstein, and in analysis of Derrida's work via Georges Bataille's concept of general economy, Plotnitsky demonstrates the value of exploring these theories in relation to (...) each other. Bohr's term complementarity describes a situation, unavoidable in quantum physics, in which two theories thought to be mutually exclusive are required to explain a single phenomenon. Light, for example, can only be explained as both wave and particle, but no synthesis of the two is possible. This theoretical transformation is then examined in relation to the ways that Derrida sets his work against or outside of Hegel, also resisting a similar kind of synthesis and enacting a transformation of its own. Though concerned primarily with Bohr and Derrida, Plotnitsky also considers a wide range of anti-epistemological endeavors including the work of Nietzsche, Bataille, and the mathematician Kurt Gödel. Under the rubric of complementarity he develops a theoretical framework that raises new possiblilities for students and scholars of literary theory, philosophy, and philosophy of science. (shrink)

Psychometrics and the representational theory of measurement are widely used in social scientific measurement. They are currently pursued largely in isolation from one another. I argue that despite their separation in practice, RTM and psychometrics are complementary approaches, because they can contribute in complementary ways to the establishment of what I argue is a crucial measurement property, namely, representational interpretability. Because RTM and psychometrics are complementary in the establishment of representational interpretability, the current separation of measurement approaches is unfounded. 1Introduction2Two (...) Approaches to Measurement 2.1Representational theory of measurement2.2Psychometrics2.3Representational interpretability3Complementarity, Conceptually 3.1Representational theory of measurement: Conditions of representational interpretability3.2Psychometrics: Evidence of representational interpretability4Complementarity in Action 4.1What is the Rasch model?4.2Rasch and conjoint measurement5Conclusion: Critics and Fruits of Complementarity. (shrink)

Complementarity can be considered as the weirdest idea associated with quantum mechanics. For Bohr, Complementarity is important in order to be able to convey successfully the non-classical features of quantum mechanics. This paper discusses the epistemic and ontological implications of different new experiments that attempt to detect complementarity. Complementarity has surely survived the attempts to overcome it, yet some of these experiments have led to a more general form of complementarity. Others claim to be able (...) to differentiate among the different interpretations of quantum physics. Nonetheless, such claims have revealed contradictory representations of the ontological picture of the universe. Hence, Bohr’s position is still valid. (shrink)

Bohr’s interpretation of quantum mechanics has been criticized as incoherent and opportunistic, and based on doubtful philosophical premises. If so Bohr’s influence, in the pre-war period of 1927–1939, is the harder to explain, and the acceptance of his approach to quantum mechanics over de Broglie’s had no reasonable foundation. But Bohr’s interpretation changed little from the time of its first appearance, and stood independent of any philosophical presuppositions. The principle of complementarity is itself best read as a conjecture of (...) unusually wide scope, on the nature and future course of explanations in the sciences (and not only the physical sciences). If it must be judged a failure today, it is not because of any internal inconsistency. (shrink)

We relate notions of complementarity in three layers of quantum mechanics: (i) von Neumann algebras, (ii) Hilbert spaces, and (iii) orthomodular lattices. Taking a more general categorical perspective of which the above are instances, we consider dagger monoidal kernel categories for (ii), so that (i) become (sub)endohomsets and (iii) become subobject lattices. By developing a ‘point-free’ definition of copyability we link (i) commutative von Neumann subalgebras, (ii) classical structures, and (iii) Boolean subalgebras.

The analysis of legal communication has almost exclusively been the domain of discourse analysts focusing on the ways that the linguistic system is used to realise legal meanings. Multimodal discourse analysis, where visual forms in combination with traditional linguistic expressions co-occur, is now also an area of expanding interest. Taking a Systemic Functional Linguistics “social semiotic” perspective, this paper applies and critiques an analytical framework that has been used for examining intersemiotic complementarity in various types of page-based multimodal texts (...) by analysing a cartoon satirizing the demands that verdict deliberations can make on a citizen jury seated in a Crown Court. While the multimodal analysis reveals that a straightforward application of this analytical framework is useful in and of itself, it is argued that the framework needs to be extended to also account for further and more complex layers of represented meaning. The analysis is also situated in the wider legal social semiotic, and draws attention to international debates on the efficacy of the jury system itself. (shrink)

The principle of complementarity in physics can be generalized and extended to information studies. It helps explain the dilemma faced by information studies today. The prevailing endeavor that going beyond the limitation of formal theories and to develop a unified theory of information falls in the dilemma which is structurally homologous to the dilemmas in quantum physics. The dilemma is caused by an epistemological paradox called assignment paradox. The paradox can be removed through generalized complementarity. It means that (...) the concept of information embodying in different theoretical contexts are different phenomenon. They are complementary to each other. The analysis brings bad news to methodologically reductionism and fundamentalism but good news to transdisciplinary approach. (shrink)

Signs do not only “represent” something for somebody, as Peirce’s definition goes, but also “mediate” relations between us and our world, including ourselves, as has been elaborated by Vygotsky. We call the first the representational function of a sign and the second the epistemological function since in using signs we make distinctions, specify objects and relations, structure our observations, and organize societal and cognitive activity. The goal of this paper is, on the one hand, to develop a model in which (...) both these functions appear as complementary and, on the other, to show that this complementarity is essential for the dynamics of scientific activity, causing a dialectical process of generating new epistemological and representational means. This will be demonstrated with an example of how two scientists with different background knowledge analyze educational data collaboratively. (shrink)

It is argued that Niels Bohr ultimately arrived at positivistic and antirealist-flavored statements because of weaknesses in his initial objective of accounting for measurement in physical terms. Bohr’s investigative approach faced a dilemma, the choices being conceptual inconsistency or taking the classical realm as primitive. In either case, Bohr’s ‘Complementarity’ does not adequately explain or account for the emergence of a macroscopic, classical domain from a microscopic domain described by quantum mechanics. A diagnosis of the basic problem is offered, (...) and an alternative way forward is indicated. (shrink)

The idea of complementarity is one of the key concepts of quantum mechanics. Yet, the idea was originally developed in William James’ psychology of consciousness. Recently, it was re-applied to the humanities and forms one of the pillars of modern quantum cognition. I will explain two different concepts of complementarity: Niels Bohr’s ontic conception and Werner Heisenberg’s epistemic conception. Furthermore, I will give an independent motivation of the epistemic conception based on the so-called operational interpretation of quantum theory, (...) which has powerfully been applied in the domain of quantum cognition. Finally, I will give examples illustrating the potency of complementarity in the domains of bounded rationality and survey research. Concerning the broad topic of consciousness, I will focus on the psychological aspects of awareness. This closes the circle spanning complementarity, quantum cognition, the operational interpretation, and consciousness. (shrink)

We hypothesize that life began not with the first self‐reproducing molecule or metabolic network, but as a prebiotic ecology of co‐evolving populations of macromolecular aggregates (composomes). Each composome species had a particular molecular composition resulting from molecular complementarity among environmentally available prebiotic compounds. Natural selection acted on composomal species that varied in properties and functions such as stability, catalysis, fission, fusion and selective accumulation of molecules from solution. Fission permitted molecular replication based on composition rather than linear structure, while (...) fusion created composomal variability. Catalytic functions provided additional chemical novelty resulting eventually in autocatalytic and mutually catalytic networks within composomal species. Composomal autocatalysis and interdependence allowed the Darwinian co‐evolution of content and control (metabolism). The existence of chemical interfaces within complex composomes created linear templates upon which self‐reproducing molecules (such as RNA) could be synthesized, permitting the evolution of informational replication by molecular templating. Mathematical and experimental tests are proposed. BioEssays 28: 399–412, 2006. © 2006 Wiley Periodicals, Inc. (shrink)

The discovery of a letter in the Niels Bohr archives written by Bohr to a Danish schoolteacher in which he reveals his early knowledge of the Daodejing led the present author on a search to unveil the influence of the philosophy of Yin-Yang on Bohr's famed complementarity principle in Western physics. This paper recounts interviews with his son, Hans, who recalls Bohr reading a translated copy of Laozi, as well as Hanna Rosental, close friend and associate who also confirms (...) the influence of ancient Chinese philosophy on this major figure in Western physics. As with Bohr’s dual perspective approach to the wave-particle, in which describing matter as either wave or particle is not considered inherently contradictory, this article likewise argues that Eastern and Western perspectives about philosophy, reality and life in general need not antagonize one another as is the case in Hegelian dialecticism. Through developing a globally accessible, harmonized system of Eastern and Western thought, this article suggests that individuals can more easily overcome limitations arising from cultural singularity in conventional philosophical approaches and, in turn, achieve a greater degree of social harmony and depth of philosophical understanding, all in the same stroke. (shrink)

We show that Bohr's principle of complementarity between position and momentum descriptions can be formulated rigorously as a claim about the existence of representations of the canonical commutation relations. In particular, in any representation where the position operator has eigenstates, there is no momentum operator, and vice versa. Equivalently, if there are nonzero projections corresponding to sharp position values, all spectral projections of the momentum operator map onto the zero element.

The interpretation of quantum mechanics presented in this paper is inspired by two ideas that are fundamental in Bohr’s writings: indivisibility and complementarity. Further basic assumptions of the proposed interpretation are completeness, universality and conceptual economy. In the interpretation, decoherence plays a fundamental role for the understanding of measurement. A general and precise conception of complementarity is proposed. It is fundamental in this interpretation to make a distinction between ontological reality, constituted by everything that does not depend at (...) all on the collectivity of human beings, nor on their decisions or limitations, nor on their existence, and empirical reality constituted by everything that not being ontological is, however, intersubjective. According to the proposed interpretation, neither the dynamical properties, nor the constitutive properties of microsystems like mass, charge and spin, are ontological. The properties of macroscopic systems and space-time are also considered to belong to empirical reality. The acceptance of the above mentioned conclusion does not imply a total rejection of the notion of ontological reality. In the paper, utilizing the Aristotelian ideas of general cause and potentiality, a relation between ontological reality and empirical reality is proposed. Some glimpses of ontological reality, in the form of what can be said about it, are finally presented. (shrink)

In part-1, I shall outline the principle details of Bohr’s interpretation. Bohr’s basic interpretive insight is ‘ quantum inseparability’ . Complementarity of phenomena and a “revision to our attitude towards physical explanation” then follow. Together , these can be said to constitute Bohr’s general viewpoint of ‘complementarity’. Bohr does not quite clearly spell out the content of these three ideas; I do.

The idea of complementarity already appears in William James’ (1890a, p. 206) Principles of Psychology in the chapter on “the relations of minds to other things”. Later, in 1927, Niels Bohr introduced complementarity as a fundamental concept in quantum mechanics. It refers to properties (observables) that a system cannot have simultaneously, and which cannot be simultaneously measured with arbitrarily high accuracy. Yet, in the context of classical physics they would both be needed for an exhaustive description of the (...) system. (shrink)

This article argues that a manuscript dated to the summer of 1927 by the editors of Bohr’s Collected Works was written a year earlier. The re-dating allows the conclusion that Bohr was well on his way to complementarity before his famous fight with Heisenberg over the uncertainty principle early in 1927. The literature that assumes that complementarity was Bohr’s response to Heisenberg is therefore in error. The editors of the Collected Works assigned the document the date of 1927 (...) because it refers to electron-diffraction experiments by Davisson and Germer, which were published in 1927. But as the article points out, Bohr and other leading physicists such as Max Born met Davisson in Britain in 1926 and discussed the experiments with him then. That demolished the basis of the earlier dating. Finally, the article argues that when the document takes its place between the Bohr–Kramers–Slater theory (1924) and the 1927 drafts of complementarity, everything falls neatly into place. (shrink)

As a result of interviews with the students of the psychology department of Bashkir State university the set of everyday conflict situations has been picked up and a new situational judgment test of social intelligence was worked out. The positive correlations between social intelligence and the stability and harmony of relations between university students were discovered. The main purpose of our current investigation was to explore the correlations between the social intelligence of university students and the complementarity of interpersonal (...) relations between them and university teachers. The significant positive correlation between social intelligence and complementarity scores on the affiliation axis of the IMI-C test has been obtained. We may conclude that this fact implies that students with high social intelligence are able to self-control and affiliation in conflict situations. (shrink)

Quantum complementarity is interpreted in terms of duality and opposition. Any two conjugates are considered both as dual and opposite. Thus quantum mechanics introduces a mathematical model of them in an exact and experimental science. It is based on the complex Hilbert space, which coincides with the dual one. The two dual Hilbert spaces model both duality and opposition to resolve unifying the quantum and smooth motions. The model involves necessarily infinity even in any finitely dimensional subspace of the (...) complex Hilbert space being due to the complex basis. Furthermore, infinity is what unifies duality and opposition, universality and openness, completeness and incompleteness in it. The deduced core of quantum complementarity in terms of infinity, duality and opposition allows of resolving a series of various problems in different branches of philosophy: the common structure of incompleteness in Gödel’s (1931) theorems and Enstein, Podolsky, and Rosen’s argument (1935); infinity as both complete and incomplete; grounding and self-grounding, metaphor and representation between language and reality, choice and information, the totality and an observer, the basic idea of philosophical phenomenology. The main conclusion is: Quantum complementarity unifies duality and opposition in a consistent way underlying the physical world. (shrink)

A coherent account of the connections and contrasts between the principles of complementarity and uncertainty is developed starting from a survey of the various formalizations of these principles. The conceptual analysis is illustrated by means of a set of experimental schemes based on Mach-Zehnder interferometry. In particular, path detection via entanglement with a probe system and (quantitative) quantum erasure are exhibited to constitute instances of joint unsharp measurements of complementary pairs of physical quantities, path and interference observables. The analysis (...) uses the representation of observables as positive-operator-valued measures (POVMs). The reconciliation of complementary experimental options in the sense of simultaneous unsharp preparations and measurements is expressed in terms of uncertainty relations of different kinds. The feature of complementarity, manifest in the present examples in the mutual exclusivity of path detection and interference observation, is recovered as a limit case from the appropriate uncertainty relation. It is noted that the complementarity and uncertainty principles are neither completely logically independent nor logical consequences of one another. Since entanglement is an instance of the uncertainty of quantum properties (of compound systems), it is moot to play out uncertainty and entanglement against each other as possible mechanisms enforcing complementarity. (shrink)

The photon box thought experiment can be considered a forerunner of the EPR-experiment: by performing suitable measurements on the box it is possible to ``prepare'' the photon, long after it has escaped, in either of two complementary states. Consistency requires that the corresponding box measurements be complementary as well. At first sight it seems, however, that these measurements can be jointly performed with arbitrary precision: they pertain to different systems (the center of mass of the box and an internal clock, (...) respectively). But this is deceptive. As we show by explicit calculation, although the relevant quantities are simultaneously measurable, they develop non-vanishing commutators when calculated back to the time of escape of the photon. This justifies Bohr's qualitative arguments in a precise way; and it illustrates how the details of the dynamics conspire to guarantee the requirements of complementarity. In addition, our calculations exhibit a ``fine structure'' in the distribution of the uncertainties over the complementary quantities: depending on when the box measurement is performed, the resulting quantum description of the photon differs. This brings us close to the argumentation of the later EPR thought experiment. (shrink)

In this study we present some contributions of the logician and philosopher Petre Botezatu (27.02.1911-01.12.1981), who turned the idea of complementarity,formulated by Niels Bohr for the interpretation of the wave-particle structure of the quantum world, into an ordering principle of his work. Thus, he understood general logic as a synthesis in which the style of classical logic is complementary to the style of the 20th century logic. He didn’t give up either the mathematical modelling of logical language or the (...) conceptual description through natural language. Thus, natural operational logic was created. Then Petre Botezatu assessed the achievements and failures of deduction in order to build the notion of methodological antinomy, and formulated five antinomies of axiomatization and five antinomies of formalization. The main purpose of this study is to present and interpret them. (shrink)

The article provides a reply to critical remarks made during the discussion about creativity and scientific knowledge. The authors propose to consider their concept of creativity not as antagonistic or incommensurable with the alternative, but rather co-existing through the complementarity principle. Responding to a comment about the socio-cultural conditionality of a particular cognitive situation, the authors question whether globalization seriously influence this matter in science. They support the statement about the importance of the interaction between science and art, science (...) and philosophy as an opportunity to consider scientific problems from the outside, in an unusual way. Regarding the comment about serendipity, the authors note that in certain cases we need exactly epistemological randomization, since we cannot consciously induce serendipity. In conclusion, thanks are expressed to all participants in the discussion. (shrink)

A growing number of commentators have, in recent years, noted the important affinities in the views of Immanuel Kant and Niels Bohr. While these commentators are correct, the picture they present of the connections between Bohr and Kant is painted in broad strokes; it is open to the criticism that these affinities are merely superficial. In this essay, I provide a closer, structural, analysis of both Bohr's and Kant's views that makes these connections more explicit. In particular, I demonstrate the (...) similarities between Bohr's argument, on the one hand, that neither the wave nor the particle description of atomic phenomena pick out an object in the ordinary sense of the word, and Kant's requirement, on the other hand, that both ‘mathematical’ (having to do with magnitude) and ‘dynamical’ (having to do with an object's interaction with other objects) principles must be applicable to appearances in order for us to determine them as objects of experience. I argue that Bohr's ‘complementarity interpretation’ of quantum mechanics, which views atomic objects as idealizations, and which licenses the repeal of the principle of causality for the domain of atomic physics, is perfectly compatible with, and indeed follows naturally from a broadly Kantian epistemological framework. (shrink)

Besides the application of the notion of complementarity to psychological and physical descriptions of the individual, this paper explores the possibility of defining complementary observables in the same phenomenal domain. Complementary emotional observables are defined from experimental data on experienced emotions reported by subjects who have been prepared in a state of induced emotion. Complementary physiological observables are defined in correspondence with conjugate, physiological quantities that can be measured. -/- Keywords: Complementarity, Psychophysics, Emotional observables, Induced emotion, Physiological observables, (...) Conjugate physiological quantities. (shrink)

The concepts of complementarity and entanglement are considered with respect to their significance in and beyond physics. A formally generalized, weak version of quantum theory, more general than ordinary quantum theory of physical systems, is outlined and tentatively applied to two examples.

I investigate the complementarity of behavioral biases in a simple investment problem. The agent has incomplete knowledge about the correlation between fitness and the decision environment. Nature endows the agent with a decision procedure so that the induced action can reflect this correlation. I show that the agent with this decision procedure always exhibits (i) present biased time preference, (ii) distorted beliefs, and (iii) cognitive dissonance. The three biases are complements and the absence of one of them destroys the (...) value of the other two. The decision procedure also provides insights into the non-fungibility of savings. (shrink)

The aim of this note is to complete the discussion on the possibility of creation of quantum-like (QL) representation for the question order effect which was presented by Wang and Busemeyer (2013). We analyze the role of a fundamental feature of mental operators (given, e.g., by questions), namely, their complementarity.

I argue that instead of a rather narrow focus on N. Bohr's account of complementarity as a particular and perhaps obscure metaphysical or epistemological concept (or as being motivated by such a concept), we should consider it to result from pursuing a particular method of studying physical phenomena. More precisely, I identify a strong undercurrent of Baconian method of induction in Bohr's work that likely emerged during his experimental training and practice. When its development is analyzed in light of (...) Baconian induction, complementarity emerges as a levelheaded rather than a controversial account, carefully elicited from a comprehensive grasp of the available experimental basis, shunning hasty metaphysically motivated generalizations based on partial experimental evidence. In fact, Bohr's insistence on the “classical” nature of observations in experiments, as well as the counterintuitive synthesis of wave and particle concepts that have puzzled scholars, seem a natural outcome (an updated instance) of the inductive method. Such analysis clarifies the intricacies of early Schrödinger's critique of the account as well as Bohr's response, which have been misinterpreted in the literature. If adequate, the analysis may lend considerable support to the view that Bacon explicated the general terms of an experimentally minded strand of the scientific method, developed and refined by scientists in the following three centuries. (shrink)

Quantum-mechanical event descriptions are context-dependent descriptions. The role of quantum (nondistributive) logic is in the partial ordering of contexts rather than in the ordering of quantum-mechanical events. Moreover, the kind of quantum logic displayed by quantum mechanics can be easily inferred from the general notion of contextuality used in ordinary language. The formalizable core of Bohr's notion of complementarity is the type of context dependence discussed in this paper.

Afshar et al. claim that their experiment shows a violation of the complementarity inequality. In this work, we study their claim using a modified Mach-Zehnder setup that represents a simpler version of the Afshar experiment. We find that our results are consistent with Afshar et al. experimental findings. However, we show that within standard quantum mechanics the results of the Afshar experiment do not lead to a violation of the complementarity inequality. We show that their claim originates from (...) a particular technique they use to analyze their results. In their analysis, they assume a classical concept, that particles have a definite trajectory before detection, thus, they obtain which-way information by particle detection plus path extrapolation by applying momentum conservation. This analysis technique is standard in experimental particle physics. Important discoveries such as the detection of vector bosons have been made through the application of this technique. We note that particle detection plus path extrapolation is a suitable technique within de Broglie-Bohm theory of quantum mechanics. (shrink)

Philosophers have discussed the relationship of cause and effect from ancient times through our own.Prior to the work of Niels Bohr, these discussions presupposed that successful causal attribution implies explanation.The success of quantum theory challenged this presupposition.Bohr introduced a principle of complementarity that provides a new way of looking at causality and explanation. In this succinct review of the history of these discussions, John Losee presents the philosophical background of debates over the cause-effect relation.He reviews the positions of Aristotle, (...) Rene Descartes, Isaac Newton, David Hume, Immanuel Kant, and John Stuart Mill.He shows how nineteenth-century theories in physics and chemistry were informed by a dominant theory of causality and how specific developments in physics provided the background for the emergence of quantum theory. Problems created for the "causality implies explanation" thesis by the emergence of quantum theory are reviewed in detail.Losee evaluates Bohr's proposals to apply a principle of complementarity within physics, biology, and psychology.He also discusses the feasibility of using complementarity as a principle of interpretation within Christian theology.This volume, which includes an in-depth index, is an essential addition to the libraries of advanced undergraduate and graduate students, philosophers, and those interested in causality and explanation. (shrink)

The rapid development of empirical science and theoretical grounds related with them, results in many theories on the origin, evolution and nature of the world, sometimes interpreted as contradictory to the theological conception. Consequently, under the influence of these achievements, within theology itself, an opinion about autonomy of both domains and their complementarity seems to be more and more popular. Facing this relation, it is theology that should present the possibility of such understanding of the revealed truths that they (...) could coexist with scientific discoveries. Based directly on biblical texts, the sophiological vision of origin and nature of the world seems to be very interesting among other theological conceptions regarding this topic. The present article attempts to confront the sophiology’s presumptions on the eternal creative Wisdom with scientific thesis on the world’s nature, its development and on human existence in order to demonstrate the possibility of coexistence of these discourses with no contradiction. (shrink)

In his later years, Wesley Salmon believed that the two dominant models of scientific explanation (his own causal-mechanical model and the unificationist model) were reconcilable. Salmon envisaged a 'new consensus' about explanation: he suggested that the two models represent two 'complementary' types of explanation, which may 'peacefully coexist' because they illuminate different aspects of scientific understanding. This paper traces the development of Salmon's ideas and presents a critical analysis of his complementarity thesis. Salmon's thesis is rejected on the basis (...) of two objections, and an alternative view of the relation between different types of explanation is proposed. (shrink)

In their recent article, Kirsch and Hyland questioned the relation between psychological and associated neurophysiological phenomena in the introduction of complementarity into psychology. Mishkin's work on the neurophysiological basis of memory and perception provides an example of the extension of complementarity that I have proposed and that can serve as the basis for empirical testing of this extension. Mishkin's thesis that memory storage occurs at sensory stations in the cortex allows for the resolution of a fundamental problem in (...) cognitive psychology, namely the reciprocal dependence of perception and memory. Also, Mishkin's thesis allows that psychological phenomena do not depend on an objective world for their existence. (shrink)

The term complementarity plays a central role in quantum physics, not least in various approaches to defining entanglement and the conditions for its occurrence. It has, however, been used in a variety of ways by different authors, denoting different concepts and relationships. Here we describe and clarify some of them and analyze the role they play with respect to the phenomenon of entanglement. Based on these considerations we discuss the recently proposed system-theoretical generalization of the concepts entanglement and (...) class='Hi'>complementarity (Atmanspacher et al. in Found Phys 32(3):379–406, 2002; von Lucadou et al. in J Conscious Stud 14(4):50–74, 2007; Filk and Römer in Axiomathes 21(2):211–220, 2011; Walach and Von Stillfried in Axiomathes 21(2): 185–209, 2011). We hope that a clarification regarding the specific meaning of these terms can be useful to the growing engagement with this interesting hypothesis and its critical investigation. (shrink)

Each information system leads to a hierarchy of binary relations on the object set in a natural way; these relational systems can serve as frames for the semantics of modal logics. While relations of indiscernibility and their logics have been frequently studied, the situation in the case of relations which distinguish objects is much less clear. In this paper, we present complete logical systems for relations of complementarity derived from information systems.

This paper reconstructs the history of the introduction and use of iterative algorithms in conservation biology in the 1980s and early 1990s in order to prioritize areas for protection as nature reserves. The importance of these algorithms was that they led to greater economy in spatial extent (“efficiency”) in the selection of areas to represent biological features adequately (that is, to a specified level) compared to older methods of scoring and ranking areas using criteria such as biotic “richness” (the number (...) of features of interest). The development of these algorithms was critical to producing a research program for conservation biology that was distinct from ecology and eventually led to what came to be called systematic conservation planning. Very similar algorithmic approaches were introduced independently in the 1980–1990 period in Australia, South Africa, and (arguably) the United Kingdom. The key rules in these algorithms were the use of rarity and what came to be called complementarity (the number of new or under-represented features in an area relative to those that had already been selected). Because these algorithms were heuristic, they were not guaranteed to produce optimal (most “efficient”) solutions. However, complementarity came to be seen as a principle rather than a rule in an algorithm and its use was also advocated for the former reason. Optimal solutions could be produced by reformulating the reserve selection problem in a mathematical programming formalism and using exact algorithms developed in that context. A dispute over the relevance of full optimality arose and was never resolved. Moreover, exact algorithms could not easily incorporate criteria determining the spatial configuration of networks of selected areas, in contrast to heuristic algorithms. Meanwhile metaheuristic algorithms emerged in the 1990s and came to be seen as a credible more effective alternative to the heuristic algorithms. Ultimately what was important about these developments was that the reserve selection problem came to be viewed a complex optimal decision problem under uncertainty, resource, and other constraints. It was a type of problem that had no antecedent in traditional ecology. (shrink)

Building on Peres’ idea of “Delayed-choice for entanglement swapping” we show that even the degree to which quantum systems were entangled can be defined after they have been registered and may even not exist any more. This does not arise as a paradox if the quantum state is viewed as just a representative of information. Moreover such a view gives a natural quantification of the complementarity between the measure of information about the input state for teleportation and the amount (...) of entanglement of the resulting swapped entangled state. (shrink)

Phenomenology and Quantum theory have defined themselves against the subject-object tradition of thought and against the modern objectivistic attempt to unify explanation of reality or being. Scientific technology and calculative way of thinking have prevailed over meditative and qualitative thinking in modern times. Despite scientific efforts to eliminate any inconsistency caused by metaphysical speculations and systems, in everyday life and science we encounter such phenomena which cannot be explained unambiguously and fully on the basis of purely conventional criteria. This paper (...) focuses on Bohr's framework of complementarity. The idea enables us exploring and describing a given phenomenon in such manner that we get adequate knowledge of the same phenomenon or subject of interest only by completing incompatible descriptions. (shrink)

New sciences born or developed in the 20th century (information, materials, life science) are based on forms of complementarity that differ from the past. The paper discusses cognitive, or disciplinary, institutional, and technical complementarity. It argues that new sciences apply a reductionist explanatory strategy to complex multi-layered systems. In doing so the reductionist promise is falsified, generating the need for multi-level kinds of explanation (e.g. in post-genomic molecular biology), new forms of complementarity between scientific and non-scientific organizations, (...) and new forms of experimental and informational facilities. The paper develops the argument in theoretical terms, comparing it with the STS literature, and offers preliminary evidence based on the experience of Networks of Excellence. (shrink)