When constrained by limited resources, how do we choose axioms of rationality? The target article relies on Bayesian reasoning that encounter serioustractabilityproblems. We propose another axiomatic foundation: quantum probability theory, which provides for less complex and more comprehensive descriptions. More generally, defining rationality in terms of axiomatic systems misses a key issue: rationality must be defined by humans facing vague information.

This contribution addresses major distinctions between the notions of determinism, causation, and prediction, as they are typically used in the sciences. Formally, this can be elegantly achieved by two ingredients: (i) the distinction of ontic and epistemic states of a system, and (ii) temporal symmetry breakings based on the mathematical concept of the affine time group. Key aspects of the theory of deterministically chaotic systems together with historical quotations from Laplace, Maxwell, and Poincare provide significant illustrations. An important point of (...) various discussions in consciousness studies (notably about 'mental causation' and 'free agency'), the alleged 'causal closure of the physical', will be analysed on the basis of the affine time group and the breakdown of its symmetries. (shrink)

A novel conceptual framework for theoretical psychology is presented and illustrated for the example of bistable perception. A basic formal feature of this framework is the non-commutativity of operations acting on mental states. A corresponding model for the bistable perception of ambiguous stimuli, the Necker–Zeno model, is sketched and some empirical evidence for it so far is described. It is discussed how a temporal non-locality of mental states, predicted by the model, can be understood and tested.

Quantum cognition research applies abstract, mathematical principles of quantum theory to inquiries in cognitive science. It differs fundamentally from alternative speculations about quantum brain processes. This topic presents new developments within this research program. In the introduction to this topic, we try to answer three questions: Why apply quantum concepts to human cognition? How is quantum cognitive modeling different from traditional cognitive modeling? What cognitive processes have been modeled using a quantum account? In addition, a brief introduction to quantum probability (...) theory and a concrete example is provided to illustrate how a quantum cognitive model can be developed to explain paradoxical empirical findings in psychological literature. (shrink)

One among many misleading quotations about the alleged mysteries of quantum theory is from Feynman (1965): Today we know that quantum theory describes many aspects of our world in a fully intelligible fashion. Pothos & Busemeyer (P&B) propose ways in which this may include psychology and cognitive science.

This book investigates the metaphysical position of dual-aspect monism, with particular emphasis on the concept of meaning as a fundamental feature of the fabric of reality.

1 – Institute for Frontier Areas of Psychology and Mental Health, Wilhelmstr. 3a, 79098 Freiburg, Germany 2 – Parmenides Center, Via Mellini 26-28, 57031 Capoliveri, Italy 3 – Department of Ophtalmology, University of Freiburg, Killianstr. 5, 79106 Freiburg, Germany 4 – Institute of Physics, University of Freiburg, Hermann- Herder -Str. 3, 79104 Freiburg, GermanyThe “Necker-Zeno model”, a model for bistable perception inspired by the quantum Zeno effect, was previously used to relate three basic time scales of cognitive relevance to one (...) another in a quantitative manner. In this paper, the model predictions are compared with experimental results obtained under discontinuous presentation of an ambiguous stimulus. In addition to earlier results for long inter-stimulus intervals, we show that the reversal dynamics according to the Necker-Zeno model is also in agreement with new results for short inter-stimulus intervals. Moreover, we refine the model in such a way that it accounts for the distribution of “dwell times”. Finally, we indicate applications concerning the modification of cognitive time scales under conditions of psychopathological impairments and meditationinduced modes of awareness. ∗Address correspondence to this author at the Theory Division of the Institute for Frontier Areas of Psychology, Wilhelmstr. 3a, D–79098 Freiburg, Germany; E-mail: [email protected]. (shrink)

Wolfgang Pauli (1900-1958) was one of the greatest physicists of the past century. He played a leading role in the development of modern physics and was known for his ruthless intellectual integrity. Pauli first became famed through the publication of his encyclopaedia article on the theory of relativity (Pauli, 1921) when he was still a student of Sommerfeld's. Einstein much admired this article, which remained a classic.

(1997). Cartesian cut, Heisenberg cut, and the concept of complexity. World Futures: Vol. 49, The Quest for a Unified Theory of Information, pp. 333-355.

In our daily lives we conceive of our surroundings as an objectively given reality. The world is perceived through our senses, and ~hese provide us, so we believe, with a faithful image of the world. But occ~ipnally we are forced to realize that our senses deceive us, e. g., by illusions. For a while it was believed that the sensation of color is directly r~lated to the frequency of light waves, until E. Land (the inventor of the polaroid camera) showed (...) in detailed experiments that our perception of, say, a colored spot depends on the colors of its surrounding. On the other hand, we may experience hallucinations or dreams as real. Quite evidently, the relationship between the "world" and our "brain" is intricate. Another strange problem is the way in which we perceive time or the "Now". Psychophysical experiments tell us that the psychological "Now" is an extended period of time in the sense of physics. The situation was made still more puzzling when, in the nineteen-twenties, Heisenberg and others realized that, by observing processes in the microscopic world of electrons and other elementary particles, we strongly interfere with that world. The outcome of experiments - at least in general - can only be predicted statistically. What is the nature ofthis strange relationship between "object" and "observer"? This is another crucial problem of the inside-outside or endo-exo dichotomy. (shrink)

The physical process of observation is considered from a specific information theoretical viewpoint. Using the modified concept of an information based on infinite alternatives, a formalism is derived describing the elementary transfer of one bit of information. This bit of information is produced on a virtual (nonreal) sub-quantum level of physical description. The interpretation of the formalism yields the following, complementary points: (i) the effect of spatiotemporal delocalization on the sub-quantum level, and (ii) a possible access to the concept of (...) chaos as an intrinsic property of quantum systems. As a brief example, elementary information transfer is illustrated in a cosmological context. Finally, a formal approach to information production on the sub-quantum level is sketched on the basis of complex time. (shrink)

The attempt to employ quantum principles for modeling cognition has enabled the introduction of several new concepts in psychology, such as the uncertainty principle, incompatibility, entanglement, and superposition. For many commentators, this is an exciting opportunity to question existing formal frameworks (notably classical probability theory) and explore what is to be gained by employing these novel conceptual tools. This is not to say that major empirical challenges are not there. For example, can we definitely prove the necessity for quantum, as (...) opposed to classical, models? Can the distinction between compatibility and incompatibility inform our understanding of differences between human and nonhuman cognition? Are quantum models less constrained than classical ones? Does incompatibility arise as a limitation, to avoid the requirements from the principle of unicity, or is it an inherent (or essential?) characteristic of intelligent thought? For everyday judgments, do quantum principles allow more accurate prediction than classical ones? Some questions can be confidently addressed within existing quantum models. A definitive resolution of others will have to anticipate further work. What is clear is that the consideration of quantum cognitive models has enabled a new focus on a range of debates about fundamental aspects of cognition. (shrink)

Dual-aspect approaches (or double-aspect approaches)consider mental and material domains of reality as aspects, or manifestations, of one underlying, unseparated reality. In such a framework, the distinction between mind and matter can be regarded as a basic tool for achieving epistemic access to, i.e. gather knowledge about, both the separated do- mains and the underlying reality. In this sense, the status of the underlying, psychophysically neutral domain is ontic relative to the mind-matter distinction.

Some time after the appearance of the first issue of this journal, we are glad to announce that we have received steady feedback. This includes not only a considerable number of subscriptions, which form the material basis of every journal's existence, but also many encouraging comments. For instance, Henry Bauer, reviewing our journal in the Journal of Scientific Exploration, which he edits, asks whether he should 'welcome so formidable a competitor for some high-quality manuscripts? Of course! The search for knowledge (...) is not a zero-sum game.' This thoughtful assessment agrees precisely with our own policy. We do indeed view the competition with other journals of similar scope in terms of a fruitful complementarity rather than envious rivalry. (shrink)

In the mid 20th century, the physicist Wolfgang Pauli and the psychologist Carl Gustav Jung proposed a conceptual framework, not more than speculative at the time, which may help us to clarify psychophysical phenomena beyond what our knowledge about the mental and the physical in separation are capable of achieving. Their conjecture of a Dual-Aspect Monism, with a complementary relationship between mental and material aspects of an underlying, psychophysically neutral reality, is subtler and more sophisticated than many other attempts to (...) discuss the problem of how mind and matter are related to one another. (shrink)

The present issue of Mind and Matter marks the beginning of our collaboration with Imprint Academic as our publisher, and we are very grateful for Anthony Freeman ’s warm and informative welcome greetings on the preceding page.There is nothing to be added except that we have all reasons to looking forward to an enjoyable and successful cooperation with Imprint Academic.

Classical (Bayesian) probability (CP) theory has led to an influential research tradition for modeling cognitive processes. Cognitive scientists have been trained to work with CP principles for so long that it is hard even to imagine alternative ways to formalize probabilities. However, in physics, quantum probability (QP) theory has been the dominant probabilistic approach for nearly 100 years. Could QP theory provide us with any advantages in cognitive modeling as well? Note first that both CP and QP theory share the (...) fundamental assumption that it is possible to model cognition on the basis of formal, probabilistic principles. But why consider a QP approach? The answers are that (1) there are many well-established empirical findings (e.g., from the influential Tversky, Kahneman research tradition) that are hard to reconcile with CP principles; and (2) these same findings have natural and straightforward explanations with quantum principles. In QP theory, probabilistic assessment is often strongly context- and order-dependent, individual states can be superposition states (that are impossible to associate with specific values), and composite systems can be entangled (they cannot be decomposed into their subsystems). All these characteristics appear perplexing from a classical perspective. However, our thesis is that they provide a more accurate and powerful account of certain cognitive processes. We first introduce QP theory and illustrate its application with psychological examples. We then review empirical findings that motivate the use of quantum theory in cognitive theory, but also discuss ways in which QP and CP theories converge. Finally, we consider the implications of a QP theory approach to cognition for human rationality. (shrink)

Within a state-space approach endowed with a generalized potential function, mental states can be systematically characterized by their stability against perturbations. This approach yields three major classes of states: (1) asymptotically stable categorial states, (2) marginally stable non-categorial states and (3) unstable acategorial states. The particularly interesting case of states giving rise to exceptional experiences will be elucidated in detail. Their proper classification will be related to Metzinger’s account of self-model and world-model, and empirical support for this classification will be (...) surveyed. Eventually, it will be outlined how Metzinger’s discussion of intentionality achieves pronounced significance within a dual-aspect framework of thinking. (shrink)

Shepard's theoretical analysis of generalization is assumed to enable an objective measure of the relation between objects, an assumption taken on board by Tenenbaum & Griffiths. I argue that context effects apply to generalization in the same way as they apply to similarity. Thus, the need to extend Shepard's formalism in a way that incorporates context effects should be acknowledged. [Shepard; Tenenbaum & Griffiths].

This response to the open peer commentary discusses what should be the appropriate explanatory scope of a rules versus similarity proposal and accordingly evaluates the Rules versus Similarity one. Additionally, coherence, goals, and commitment are presented as inferential notions, fully consistent with the Rules versus Similarity distinction, that allow us to predict when Rules would be preferred to Similarity.

The distinction between rules and similarity is central to our understanding of much of cognitive psychology. Two aspects of existing research have motivated the present work. First, in different cognitive psychology areas we typically see different conceptions of rules and similarity; for example, rules in language appear to be of a different kind compared to rules in categorization. Second, rules processes are typically modeled as separate from similarity ones; for example, in a learning experiment, rules and similarity influences would be (...) described on the basis of separate models. In the present article, I assume that the rules versus similarity distinction can be understood in the same way in learning, reasoning, categorization, and language, and that a unified model for rules and similarity is appropriate. A rules process is considered to be a similarity one where only a single or a small subset of an object's properties are involved. Hence, rules and overall similarity operations are extremes in a single continuum of similarity operations. It is argued that this viewpoint allows adequate coverage of theory and empirical findings in learning, reasoning, categorization, and language, and also a reassessment of the objectives in research on rules versus similarity. Key Words: categorization; cognitive explanation; language; learning; reasoning; rules; similarity. (shrink)

The relevance of the Cartesian cut as a conceptual tool to separate matter and mind in the tradition of a dualistic world view is addressed. Modern science has developed an increasing number of concepts requiring that such a cut be considered neither as a priori prescribed nor as impenetrable. Two important examples are the concepts of complexity and meaning. They are subjects of physics as the science of matter and cognitive science as the science of the mind, respectively. Their mutual (...) relationships are discussed to some detail, and certain elements of a `post-Cartesian' way of thinking are indicated. (shrink)

It is widely accepted that consciousness or, more generally, mental activity is in some way correlated to the behavior of the material brain. Since quantum theory is the most fundamental theory of matter that is currently available, it is a legitimate question to ask whether quantum theory can help us to understand consciousness. Several approaches answering this question affirmatively, proposed in recent decades, will be surveyed. It will be pointed out that they make different epistemological assumptions, refer to different neurophysiological (...) levels of description, and use quantum theory in different ways. For each of the approaches discussed, problematic and promising features will be equally highlighted. (shrink)

A key ingredient of the metaphysical doctrine of dual-aspect monism is a psychophysically neutral domain, of which mental and physical aspects arise as epistemic descendants that manifest themselves by decomposition. This primer first introduces some elementary notions to define the basic concepts needed to understand the approach, such as those of states, state spaces, observables, partitions and correlations. Using these notions, the concepts of decomposition and manifestation are explained, and a differentiated view of the mereological distinction of wholes and parts (...) is outlined. Next, a number of historical and contemporary accounts of psychophysical neutrality with philosophical (Plato, Spinoza, Schelling, Kant), scientific (Bohm, Pauli, Jung, Connes, Gibson), and artistic (sculpture, music) flavor are given as illustrative examples. Finally, correlations between the psychophysically neutral, the mental, and the physical domain of reality are discussed, in which these correlations are substantiated by meaning. (shrink)

We address the problem of predicting how people will spontaneously divide into groups a set of novel items. This is a process akin to perceptual organization. We therefore employ the simplicity principle from perceptual organization to propose a simplicity model of unconstrained spontaneous grouping. The simplicity model predicts that people would prefer the categories for a set of novel items that provide the simplest encoding of these items. Classification predictions are derived from the model without information either about the number (...) of categories sought or information about the distributional properties of the objects to be classified. These features of the simplicity model distinguish it from other models in unsupervised categorization (where, for example, the number of categories sought is determined via a free parameter), and we discuss how these computational differences are related to differences in modeling objectives. The predictions of the simplicity model are validated in four experiments. We also discuss the significance of simplicity in cognitive modeling more generally. (shrink)

The behavior of two-dimensional coupled map lattices is studied with respect to the global stabilization of unstable local fixed points without external control. It is numerically shown under which circumstances such inherent global stabilization can be achieved for both synchronous and asynchronous updating. Two necessary conditions for inherent global stabilization are derived analytically.

Two operations, e.g. measurements, successively applied to the state of a system are said to be non-commutative if the sequence of their application makes a difference for the final result. Non-commuting operations play a crucial role in quantum theory, where they are intimately related to concepts as central as those of complementarity and entanglement. However, their significance is not restricted to the small dimensions of the microworld. For reasons easy to understand, non-commuting operations must be expected to be the rule (...) rather than the exception for operations on mental systems. We demonstrate this with a few examples from our own work, and hope this may contribute to the increasing attention that this exciting new area in consciousness studies is currently attracting worldwide. (shrink)

It is widely accepted that consciousness or, more generally, mental activity is correlated to the behavior of the material brain. Since quantum theory is our most fundamental theory of matter, it is a legitimate question to ask whether quantum theory can help us to understand consciousness. There are three basic types of corresponding approaches: (1) consciousness is a manifestation of quantum processes in the brain, (2) quantum concepts are used to understand consciousness without referring to brain activity, and (3) matter (...) and consciousness are regarded as dual aspects of one underlying reality. Major contemporary variants of these quantum inspired approaches will be discussed. (shrink)

A key topic in the work of Burghard Rieger is the notion of meaning. To explore this notion, he and his collaborators developed a most sophisticated approach combining theoretical ideas and concepts of semiotics with empirical and numerical tools of computational linguistics. In the present contribution, relations of Rieger’s achievements to some issues of interest in the physics and philosophy of complex systems will be addressed.

This chapter analyzes the different ways to describe brain behaviour with the goal to provide a basis for an informed discussion of the nature of decisions and actions that humans perform in their lives. The chapter is organized as follows. Section 2 outlines a number of concepts exhibiting how many subtle details and distinctions lie behind the broad notions of determinacy and stochasticity. These details are necessary for a discussion, in Section 3, of particular aspects relevant for the characterization of (...) brain states and their dynamics. The descriptions of brain behaviour currently provided by neuroscience depend on the level and context of the descriptions. There is no clear-cut evidence for ultimately determinate or ultimately stochastic brain behaviour. As a consequence, there is no solid neurobiological basis to argue either in favour of or against any fundamental determination or openness of human decisions and actions. (shrink)

Two-dimensional coupled map lattices display, in a specific parameter range, a stable phase (quasi-) periodic in both space and time. With small changes to the model parameters, this stable phase develops spontaneous eruptions of nonperiodic behavior. Although this behavior itself appears irregular, it can be characterized in a systematic fashion. In particular, parameter-independent features of the spontaneous eruptions may allow useful empirical characterizations of other phenomena that are intrinsically hard to predict and reproduce. Specific features of the distributions of lifetimes (...) and emergence rates of irregular states display such parameter-independent properties. Ó 2004 Elsevier Ltd. All rights reserved. (shrink)

These and other questions emphasize the fact that chance and choice are two leading actors on stage whenever issues of determinism are under discussion. ...

The behavior of Lyapunov exponents λ and dynamical entropies h, whose positivity characterizes chaotic motion, under Lorentz and Rindler transformations is studied. Under Lorentz transformations, λ and h are changed, but their positivity is preserved..

Two-dimensional coupled map lattices have global stability properties that depend on the coupling between individual maps and their neighborhood. The action of the neighborhood on individual maps can be implemented in terms of ‘‘causal’’ coupling (to spatially distant past states) or ‘‘non-causal’’ coupling (to spatially distant simultaneous states). In this contribution we show that globally stable behavior of coupled map lattices is facilitated by causal coupling, thus indicating a surprising relationship between stability and causality. The influence of causal versus non-causal (...) coupling for synchronous and asynchronous updating as a function of coupling strength and for different neighborhoods is analyzed in detail. r 2004 Elsevier B.V. All rights reserved. (shrink)

The science of physics has been extremely successful over the last four centuries, mainly for one reason: It does everything it can to disregard anything that has to do with non-physical parts of reality. Although the human body is a physical body, large parts of what distinguishes human beings, sometimes briefly called the human condition, does not belong to the physical domain. This implies that physics (and other sciences of the material universe) offers nothing more than self-imposed helplessness when it (...) comes to questions as to what it means to be human. Yet it is possible to scrutinize the way in which physics (and other sciences) is delineated from the rest of reality: to reconsider its boundaries as they were set about four centuries ago. In other words, it is possible to look for features within the physical that are related to something outside the physical which physics itself ignores. The key concept to do so is proposed to be meaning, in its two variants of reference and sense. Meaning provides a viable perspective to illuminate the deep structure of reality as it extends beyond physics and across its boundaries. (shrink)

This book reflects on the significant and highly original scientific contributions of Hans Primas. A professor of chemistry at ETH Zurich from 1962 to 1995, Primas continued his research activities until his death in 2014. Over these 50 years and more, he worked on the foundations of nuclear magnetic resonance spectroscopy, contributed to a number of significant issues in theoretical chemistry, helped to clarify central topics in quantum theory and the philosophy of physics, suggested innovative ways of addressing interlevel relations (...) in the philosophy of science, and introduced cutting-edge approaches in the flourishing young field of scientific studies of consciousness. His work in these areas of research and its continuing impact is described by noted experts, colleagues, and collaborators of Primas. All authors contextualize their contributions to facilitate the mutual dialog between these fields. (shrink)

Critical (necessary or sufficient) features in categorisation have a long history, but the empirical evidence makes their existence questionable. Nevertheless, there are some cases that suggest critical feature effects. The purpose of the present work is to offer some insight into why classification decisions might misleadingly appear as if they involve critical features. Utilising Tversky's (1977) contrast model of similarity, we suggest that when an object has a sparser representation, changing any of its features is more likely to lead to (...) a change in identity than it would in objects that have richer representations. Experiment 1 provides a basic test of this suggestion with artificial stimuli, whereby objects with a rich or a sparse representation were transformed by changing one of their features. As expected, we observed more identity judgements in the former case. Experiment 2 further confirms our hypothesis, with realistic stimuli, by assuming that superordinate categories have sparser representations than subordinate ones. These results offer some insight into the way feature changes may or may not lead to identity changes in classification decisions. (shrink)

We provide additional support for Cowan's claim that short term memory (STM) involves a range of 3–5 tokens, on the basis of language correlational analyses. If language is at least partly learned, linguistic dependency structure should reflect properties of the cognitive components mediating learning; one such component is STM. In this view, the range over which statistical regularity extends in ordinary text would be suggestive of STM span. Our analyses of eight languages are consistent with STM span being about four (...) chunks. (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.

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 complementarity ( (...) class='Hi'>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)

Mental and neural states are related to one another by vertical interlevel relations and by horizontal intralevel relations. For particular choices of such relations, problems arise if causal efficacy is ascribed to mental states. In a series of influential papers and books, Kim has presented his much discussed “supervenience argument,” which ultimately amounts to the dilemma that mental states either are causally inefficacious or they hold the threat of overdetermining neural states. Forced by this disjunction, Kim votes in favor of (...) overdetermination and, ultimately, reduction. We propose a perspective on mental causation that dissolves the assumption of a tension between horizontal and vertical determination. For mental states to be causally efficacious, they must be dynamically stable. This important requirement can be implemented by combining a key idea of supervenience, multiple realization, with the recently introduced vertical interlevel relation of contextual emergence. Both together deflate Kim's dilemma and reflate the causal efficacy of mental states. 2012 APA, all rights reserved). (shrink)

Weakly interacting lattices of coupled maps can be modeled as ordinary coupled map lattices separated from each other by boundary regions with small coupling parameters. We demonstrate that such weakly interacting lattices can nevertheless have unexpected and striking effects on each other. Under specific conditions, particular stability properties of the lattices are significantly influenced by their weak mutual interaction. This observation is tantamount to an efficacious information flow across the boundary.

Mind and Matter is conceived as an interdisciplinary journal, aimed at an educated readership interested in all aspects of mind-matter research from the perspectives of the sciences and humanities. It is devoted to the publication of empirical, theoretical, and conceptual research and the discussion of its results. The main subject areas of the journal are -- neuroscience, cognitive science, behavioral science -- physical approaches, mathematical modeling, data analysis -- philosophy of science, philosophy of mind, applied metaphysics --cultural and social studies, (...) history of ideas. (shrink)

A major driving force behind the attention that cognitive neuroscience has received in recent decades is the deep mystery of how consciousness is related to brain activity. Many scientists have been fascinated by the wealth of empirical data for individual neurons, neural assemblies, brain areas, and related psychological and behavioral features, and by progressively powerful computational tools to simulate corresponding cortical networks. At the same time, the interested public has been attracted by fancy illustrations of brain activity (e.g., from imaging (...) techniques) and by pretentious claims of neural solutions to basic philosophical problems (e.g., free will versus determinism) in popular magazines and newspapers. However, heaps of data, extensive simulations, pretty pictures and bold statements cannot replace the insight that is inevitable to relate the available facts to one another in an intelligible manner. I am talking about the old-fashioned stance that understanding is the ultimate goal of scientific effort. In this respect, the need for new conceptual and theoretical ideas in cognitive neuroscience begins to be recognized by prominent representatives of the field. Theory in this sense must not be confused with models fitting data, e.g. by regression algorithms, cluster analyses, etc. It is uncontroversial that experimental and numerical work is and will remain mandatory for scientific progress. But it can only unfold its full value if it is embedded within a profound theoretical framework. To formulate a serious, clear-cut and transparent formal framework for cognitive neuroscience is a challenge comparable to the early stage of physics four centuries ago. Only very few approaches worth mentioning are visible in contemporary literature. I think that Wallace’s book presents an appreciable step in the right direction. However, it is not the ultimate breakthrough yet. Much is left for future work before a full-fledged theory of consciousness will be established. In two central conceptual respects, Wallace builds on earlier work: Dretske’s (1981) usage of informational terms in consciousness research and Baars’ (1988) global neuronal workspace model.. (shrink)

The term “vagueness” describes a property of natural concepts, which normally have fuzzy boundaries, admit borderline cases, and are susceptible to Zeno's sorites paradox. We will discuss the psychology of vagueness, especially experiments investigating the judgment of borderline cases and contradictions. In the theoretical part, we will propose a probabilistic model that describes the quantitative characteristics of the experimental finding and extends Alxatib's and Pelletier's () theoretical analysis. The model is based on a Hopfield network for predicting truth values. Powerful (...) as this classical perspective is, we show that it falls short of providing an adequate coverage of the relevant empirical results. In the final part, we will argue that a substantial modification of the analysis put forward by Alxatib and Pelletier and its probabilistic pendant is needed. The proposed modification replaces the standard notion of probabilities by quantum probabilities. The crucial phenomenon of borderline contradictions can be explained then as a quantum interference phenomenon. (shrink)