L'essor de la perspective linéaire a suscité de nombreuses polémiques tout au long du Quattrocento et du Cinquecento, opposant les partisans d'une géométrisation artificialiste de la vision à ceux qui vantaient les qualités du dessin d'après nature ou invoquaient des arguments de nature physiologique. Ces débats peuvent être retracés à partir des quatre alternatives qui en constituent le noyau dur : champ de vision restreint vs. large ; immobilité vs. mobilité oculaire ; tableau plan vs. curviligne ; vision monoculaire vs. (...) binoculaire. En retenant les premiers termes de ces quatre alternatives, l'histoire de la perspective a rejeté de nombreux systèmes hétérodoxes. Du point de vue de la mathématisation, l'intérêt de ces débats tient à ce qu'ils ont succédé, et non précédé, l'adoption du dispositif perspectif comme intersection de la pyramide visuelle. L'histoire de la perspective linéaire offre ainsi un authentique cas de justification a posteriori des fondements ou, pour ainsi dire, de mathématisation à rebours. (shrink)

Ce livre part d'un constat - la tutelle du réductionnisme issu du cognitivisme (années 1960-1970) - et du désir d'affirmer une complexité scientifique, philosophique et artistique, via la théorie des systèmes dynamiques. Deux parties d'abord. L'une philosophique : unité de la conscience et problème des attentats à l'aune leibnizienne ; l'autre artistique : installations sonores et visuelles, mouvements horizontaux, question du Je et de l'altérité, images composites (vidéo et cinéma expérimental), espaces topologiques cinématographiques et musique dans ses rapports avec le (...) cerveau. Après un historique des systèmes dynamiques, la part scientifique traite, elle, de neurosciences non-linéaires, de biodynamique, de mesure de la complexité et de l'(anti-)entropie dans l'ontogenèse. En une vue transversale, ce livre opte pour une "métadisplinarité" et défend un cognitivisme non-linéaire. (shrink)

Physique des phénomènes vibratoires, dynamique des systèmes non linéaires, neurosciences, chronobiologie, chronopharmacologie, psychologie, psychiatrie, poétique, musique danse, sociologie, anthropologie, sciences de l'éducation, économie, histoire, géographie, architecture, urbanisme, constituent une liste non exhaustive des disciplines qui ne peuvent plus faire l'économie de la notion de rythme. Cependant, l'ample diffusion de la notion de rythme dans divers champs de recherches ne signifie pas pour autant que cette notion soit déjà reconnue dans son rôle heuristique, ni qu'elle fonctionne comme un paradigme commun. Prise (...) de manières très diverses, elle manque encore souvent de consistance conceptuelle, au risque parfois de perdre en compréhension ce qu'elle gagne en extension. L'objectif principal de cet ouvrage collectif dirigé par Jean-Jacques Wunenburger (Université Jean Moulin Lyon 3 et Université de Bourgoge) & Julien Lamy (Université Jean Moulin Lyon 3) est de faire un état des lieux des études sur le rythme et de fournir, dans le sillon des travaux de Bachelard, des repères théoriques, à la fois historiques et conceptuels, qui permettront de mieux comprendre la cohérence propre de cette notion complexe, aux significations et aux usages multiples... (shrink)

Eco-communities are a potential model for the socio-technological transition to a post-carbon society. The debate over their economic sustainability has, however, been limited. This article aims to enhance the discussion by offering a conceptualization of the economic micro-system created in eco-communities. It uses the economic terms households and firms to discuss two ways in which the community economy is positioned and then goes on to explore the principles behind the non-market (non-monetary) activities of households and the not-only-for-profit activities of firms (...) as the basis of the eco-community economy. It concludes by pointing out that both can operate in parallel, with eco-communities producing non-market capital that can be used to develop not-only-for-profit activities which support the economic sustainability of the projects. (shrink)

En 1893, « physicien-ingénieur » André Blondel invente l’oscillographe bifilaire permettant de visualiser les tensions et courants variables. À l’aide de ce puissant moyen d’investigation, il entreprend tout d’abord l’étude des phénomènes de l’arc électrique alors utilisé pour l’éclairage côtier et urbain puis de l’arc chantant employé comme émetteur d’ondes radioélectriques en T.S.F. En 1905, il met en évidence un nouveau type d’oscillations non-sinusoïdales au sein de l’arc chantant. Vingt ans plus tard, Balthasar Van der Pol reconnaitra qu’il s’agissait en (...) réalité d’oscillations de relaxation. Pour expliquer ce phénomène, il fait appel à une representation dans le plan de phase et montre que son évolution prend la forme de petits cycles. Pendant le premier conflit mondial la triode remplace peu à peu l’arc chantant dans les systèmes de transmission. Au sortir de la guerre, Blondel transpose à la triode la plupart de ses résultats par analogie avec l’arc chantant. En avril 1919, il publie un long mémoire dans lequel il introduit la terminologie « oscillations auto- entretenues » et propose d’illustrer ce concept à partir de l’exemple du vase de Tantale qui sera ensuite repris par Van der Pol et par Philippe Le Corbeiller. Il fournit alors une définition d’un système auto-entretenu assez proche de celles qui seront données par la suite par Aleksandr’ Andronov et Van der Pol. Pour étudier la stabilité des oscillations entretenues par la triode et par l’arc chantant il utilise cette fois une représentation dans le plan complexe et explicite l’amplitude en coordonnées polaires. Il justifie alors l’entretien des oscillations par l’existence de cycles qui présentent presque toutes les caractéristiques des cycles limites de Poincaré. Enfin, en novembre 1919, Blondel réalise, un an avant Van der Pol, la mise en équation des oscillations d’une triode. En mars 1926, Blondel établit l’équation différentielle caractérisant les oscillations de l’arc chantant, en tous points similaire à celle qu’obtient concomitamment Van der Pol pour la triode. Ainsi, tout au long de sa carrière, Blondel, a apporté une contribution fondamentale et relativement méconnue à l’élaboration de la théorie des oscillations non linéaires. L’objet de cet article est donc d’analyser ses principaux travaux dans ce domaine et de mesurer leur importance, voire leur influence en les replaçant dans la perspective du développement de cette théorie. (shrink)

L'ouvrage retrace la genèse des études sur les systèmes dynamiques auto-organisateurs (Ashby, Von Foerster, Prigogine, von Bertalanffy) et leurs applications en neurosciences et sciences cognitives. Réalisées aux Etats-Unis en particulier, ces dernières s'inscrivent dans ce que l'on appelle, depuis les années 1980, l'Hypothèse Dynamique. Dès les années 1970, de nouvelles recherches sur le cerveau (neurodynamique) voient le jour. Des neurophysiologistes et biologistes tels Freeman, Katchalsky, Yates et Basar l'envisagent comme dynamique, non-linéaire, fait de combinaisons chaotiques, d'états de métastabilité, d'instabilité s'équilibrant (...) vers un état d'autoorganisation globale. Ces conclusions sont ensuite illustrées dans les neurosciences comportementales (dynamique de coordination sensorimotrice) et aussi par des interrogations sur le rôle des oscillations et synchronisations neuronales dans la perception et la mémoire, avec notamment le binding problem, problème du liage ou de la liaison des données sensorielles dans le cerveau. Sans oublier la découverte de neurones miroirs amenant à l'idée d'une "simulation" à la fois corporelle et psychique de ce qui est perçu par un individu. Ce concept, entre autres, et aussi les principes de codage/décodage et de prédiction de l'information issus de travaux de physiciens et mathématiciens russes et américains, anciens et récents, permettent à l'auteur de proposer un modèle précis de ce que pourrait être une nouvelle théorie esthétique. (shrink)

Every artificial-intelligence research project needs a working definition of "intelligence", on which the deepest goals and assumptions of the research are based. In the project described in the following chapters, "intelligence" is defined as the capacity to adapt under insufficient knowledge and resources. Concretely, an intelligent system should be finite and open, and should work in real time. ;If these criteria are used in the design of a reasoning system, the result is NARS, a non-axiomatic reasoning system. ;NARS uses a (...) term-oriented formal language, characterized by the use of subject-predicate sentences. The language has an experience-grounded semantics, according to which the truth value of a judgment is determined by previous experience, and the meaning of a term is determined by its relations with other terms. Several different types of uncertainty, such as randomness, fuzziness, and ignorance, can be represented in the language in a single way. ;The inference rules of NARS are based on three inheritance relations between terms. With different combinations of premises, revision, deduction, induction, abduction, exemplification, comparison, and analogy can all be carried out in a uniform format, the major difference between these types of inference being that different functions are used to calculate the truth value of the conclusion from the truth values of the premises. ;Since it has insufficient space-time resources, the system needs to distribute them among its tasks very carefully, and to dynamically adjust the distribution as the situation changes. This leads to a "controlled concurrency" control mechanism, and a "bag-based" memory organization. ;A recent implementation of the NARS model, with examples, is discussed. The system has many interesting properties that are shared by human cognition, but are absent from conventional computational models of reasoning. ;This research sheds light on several notions in artificial intelligence and cognitive science, including symbol-grounding, induction, categorization, logic, and computation. These are discussed to show the implications of the new theory of intelligence. ;Finally, the major results of the research are summarized, a preliminary evaluation of the working definition of intelligence is given, and the limitations and future extensions of the research are discussed. (shrink)

It is often assumed that the capability to make inferences requires language. Against this assumption, I claim that inferential abilities do not necessarily require a language. On the contrary, certain cartographic systems could be used to explain some forms of inferences, and they are capable of warranting rational relations between contents they represent. By arguing that certain maps, as well as sentences, are adequate for inferential processes, I do not mean to neglect that there are important differences between maps and (...) sentences. Instead, the purpose of this paper is to highlight interesting distinctions that might affect the way that cartographic thinking works. (shrink)

This paper is mainly concerned with proof-theoretic analysis of some second-order systems of explicit mathematics with a non-constructive minimum operator. By introducing axioms for variable types we extend our first-order theory BON to the elementary explicit type theory EET and add several forms of induction as well as axioms for μ. The principal results then state: EET plus set induction is proof-theoretically equivalent to Peano arithmetic PA <0).

Trying to overcome Dugundji’s result on uncharacterisability of modal logics by finite logical matrices, Kearns and Ivlev proposed, independently, a characterisation of some modal systems by means of four-valued multivalued truth-functions , as an alternative to Kripke semantics. This constitutes an antecedent of the non-deterministic matrices introduced by Avron and Lev . In this paper we propose a reconstruction of Kearns’s and Ivlev’s results in a uniform way, obtaining an extension to another modal systems. The first part of the paper (...) is devoted to four-valued Nmatrices, including Kearns’s and Ivlev’s. Besides proving with full details Kearns’s results for T, S4 and S5, we also obtain a characterisation of the system B by four-valued Nmatrices with level valuations. Concerning Ivlev’s results, two new modal systems are introduced and char.. (shrink)

Recent developments in Continental philosophy have included the emergence of a school of “speculative realism,” which rejects the human-centered orientation that has long dominated Continental thought. Proponents of speculative realism differ on several issues, but many agree on the need for an object-oriented ontology. Some speculative realists identify realism with materialism, while others accord equal reality to objects that are non-material, even fictional. Several thinkers retain a focus on difference, a well-established theme in Continental thought. This paper looks at speculative (...) realism from the perspective of systems theory. Many of the tenets of speculative realism have long been features of systems metaphysics and are expressed clearly in a systems framework. However, some views of some speculative realists differ substantially from systems theoretic ideas. (shrink)

Feferman, S. and G. Jäger, Systems of explicit mathematics with non-constructive μ-operator. Part I, Annals of Pure and Applied Logic 65 243-263. This paper is mainly concerned with the proof-theoretic analysis of systems of explicit mathematics with a non-constructive minimum operator. We start off from a basic theory BON of operators and numbers and add some principles of set and formula induction on the natural numbers as well as axioms for μ. The principal results then state: BON plus set induction (...) is proof-theoretically equivalent to Peano arithmetic PA; BON plus formula induction is proof-theoretically equivalent to the system <0 of second-order arithmetic. (shrink)

Substructural logics and their application to logical and semantic paradoxes have been extensively studied. In the paper, we study theories of naïve consequence and truth based on a non-reflexive logic. We start by investigating the semantics and the proof-theory of a system based on schematic rules for object-linguistic consequence. We then develop a fully compositional theory of truth and consequence in our non-reflexive framework.

The aim of this article is to give the proof-theoretic analysis of various subsystems of Feferman's theory T1 for explicit mathematics which contain the non-constructive μ-operator and join. We make use of standard proof-theoretic techniques such as cut-elimination of appropriate semiformal systems and asymmetrical interpretations in standard structures for explicit mathematics.

The distinction between non-symbolic and symbolic number is poorly addressed by the authors despite being relevant in numerical cognition, and even more important in light of the proposal that the approximate number system represents rational numbers. Although evidence on non-symbolic number and ratios fits with ANS representations, the case for symbolic number and rational numbers is still open.

The article aims to provide a general framework for assessing and categorizing the cognitive systems of human and non-human animals. Our approach stems from biosemiotic, ethological, and phenomenological investigations into the relations of organisms to one another and to their environment. Building on the analyses of Merleau-Ponty and Portmann, organismal bodies and surfaces are distinguished as the base for sign production and interpretation. Following the concept of modelling systems by Sebeok, we develop a concentric model of human and non-human animal (...) cognition that posits three intertwined spheres: corporeity, social communication, and culture. The model explicitly works with the pluralistic perspective that views the communication and cognition of humans as distinct, but not superior to those of non-human animals. Our position is substantiated by two case studies: the first one focuses on the acquisition and spread of nut-cracking technique among the chimpanzees in the Täi forest, the second one on the communication and cognition of deafblind persons. From an epistemological perspective, our paper is a contribution to contemporary attempts to link biosemiotics and ethology with phenomenological concepts of agency, living bodies, and lifeworld. (shrink)

Number morphology (e.g., singular vs. plural) is a part of the grammar that captures numerical information. Some languages have morphological Number values, which express few (paucal), two (dual), three (trial) and sometimes (possibly) four (quadral). Interestingly, the limit of the attested morphological Number values matches the limit of non‐verbal numerical cognition. The latter is based on two systems, one estimating approximate numerosities and the other computing exact numerosities up to three or four. We compared the literature on non‐verbal number systems (...) with data on Number morphology from 218 languages. Our observations suggest that non‐verbal numerical cognition is reflected as a core part of language. (shrink)

Most current statistical natural language processing models use only local features so as to permit dynamic programming in inference, but this makes them unable to fully account for the long distance structure that is prevalent in language use. We show how to solve this dilemma with Gibbs sam- pling, a simple Monte Carlo method used to perform approximate inference in factored probabilistic models. By using simulated annealing in place of Viterbi decoding in sequence models such as HMMs, CMMs, and CRFs, (...) it is possible to incorporate non-local structure while preserving tractable inference. We use this technique to augment an existing CRF-based information extraction system with long-distance dependency models, enforcing label consistency and extraction template consistency constraints. This technique results in an error reduction of up to 9% over state-of-the-art systems on two established information extraction tasks. (shrink)

A hidden-variable model for quantum–mechanical spin, as represented by the Pauli spin operators, is proposed for systems illustrating the well-known no-hidden-variables arguments by Peres (Phys Lett A 151:107–108, 1990) and Mermin (Phys Rev Lett 65:3373–3376, 1990) and by Greenberger et al. (Bell’s theorem, quantum theory, and conceptions of the universe, Kluwer, Dordrecht, 1989). Both arguments rely on an assumption of non-contextuality; the latter argument can also be phrased as a non-locality argument, using a locality assumption. The model suggested here is (...) compatible with both assumptions. This is possible because the scalar values of spin observables are replaced by vectors that are components of orientations. (shrink)

Here, for the first time, development studies encounters the set of ideas popularly known as 'Chaos Theory'. Samir Rihani applies to the processes of economic development, ideas from complex adaptive systems like uncertainty, complexity, and unpredictability. Rihani examines various aspects of the development process - including the World Bank, debt, and the struggle against poverty - and demonstrates the limitations of fundamentally linear thinking in an essentially non-linear world.

This paper aims to show that modeling complex systems inevitably involves non-propositional knowledge and thus the uncertainties associated with the corresponding model predictions cannot be fully quantified. This is exemplified by means of the climate system and climate modeling. The climate system is considered as a paradigm for a complex system, whereby the notion of complexity adopted in this paper is epistemic in nature and does not equate with the technical definition of a complex system as for example used within (...) physics or complexity theory. The epistemic notion of complexity allows to view the climate system as complex with respect to some features, while simple with respect to others. This distinction is of practical significance for political decision making as it allows to treat some climate predictions as (fairly) certain, while acknowledging high uncertainties with others. (shrink)

Non-Textual Marking Systems in Ancient Egypt. Edited by Julia Budka; Frank Kammerzell; and Sławomir Rzepka. Lingua Aegyptia, Studia Monographica, vol. 16. Hamburg: Widmaier Verlag, 2015. Pp. x + 322, illus. €59.

In previous work, a non-standard theory of probability was formulated and used to systematize interference effects involving the simplest type of quantum systems. The main result here is a self-contained, non-trivial generalization of that theory to capture interference effects involving a much broader range of quantum systems. The discussion also focuses on interpretive matters having to do with the actual/virtual distinction, non-locality, and conditional probabilities.

Substructural logics and their application to logical and semantic paradoxes have been extensively studied, but non-reflexive systems have been somewhat neglected. Here, we aim to fill this lacuna, at least in part, by presenting a non-reflexive logic and theory of naive consequence (and truth). We also investigate the semantics and the proof-theory of the system. Finally, we develop a compositional theory of truth (and consequence) in our non-reflexive framework.

This paper is about non-labelled proof-systems for hybrid logic, that is, proofsystems where arbitrary formulas can occur, not just satisfaction statements. We give an overview of such proof-systems, focusing on analytic systems: Natural deduction systems, Gentzen sequent systems and tableau systems. We point out major results and we discuss a couple of striking facts, in particular that nonlabelled hybrid-logical natural deduction systems are analytic, but this is not proved in the usual way via step-by-step normalization of derivations.

There exist several phenomena breaking the classical probability laws. The systems related to such phenomena are context-dependent, so that they are adaptive to other systems. In this paper, we present a new mathematical formalism to compute the joint probability distribution for two event-systems by using concepts of the adaptive dynamics and quantum information theory, e.g., quantum channels and liftings. In physics the basic example of the context-dependent phenomena is the famous double-slit experiment. Recently similar examples have been found in biological (...) and psychological sciences. Our approach is an extension of traditional quantum probability theory, and it is general enough to describe aforementioned contextual phenomena outside of quantum physics. (shrink)

Here, we analyze how the set of nucleotides in the cell is equilibrated and how this generates simple rules that help the cell to organize itself via maintenance of a stable non‐equilibrium state. A major mechanism operating to achieve this state is thermodynamic buffering via high activities of equilibrating enzymes such as adenylate kinase. Under stable non‐equilibrium, the ratios of free and Mg‐bound adenylates, Mg2+ and membrane potentials are interdependent and can be computed. The adenylate status is balanced with the (...) levels of reduced and oxidized pyridine nucleotides through regulated uncoupling of the pyridine nucleotide pool from ATP production in mitochondria, and through oxidation of substrates non‐coupled to NAD+ reduction in peroxisomes. The set of adenylates and pyridine nucleotides constitutes a generalized cell energy status and determines rates of major metabolic fluxes. As the result, fluxes of energy and information become organized spatially and temporally, providing conditions for self‐maintenance of metabolism. (shrink)

The non-Fregean logic SCI is obtained from the classical sentential calculus by adding a new identity connective = and axioms which say ?a = ß' means ?a is identical to ß'. We present complete and sound proof system for SCI in the style of Rasiowa-Sikorski. It provides a natural deduction-style method of reasoning for the non-Fregean sentential logic SCI.

Abstract The market is sometimes thought to be a largely neutral means for coordinating cooperation among strangers under complex conditions because it is, as Hayek noted, a ?spontaneous order.? But in fact the market actively shapes the kinds of values it rewards, as do other spontaneous orders. Recognizing these biases allows us to see how such orders impinge on one another and on other communities basic to human life, sometimes negatively. In this way we may come to acknowledge the inevitability (...) of placing limits on spontaneous orders. (shrink)

It is often claimed (1) that levels of nature are related by supervenience, and (2) that processes occurring at particular levels of nature should be studied using dynamical systems theory. However, there has been little consideration of how these claims are related. To address the issue, I show how supervenience relations give rise to ‘supervenience functions’, and use these functions to show how dynamical systems at different levels are related to one another. I then use this analysis to describe a (...) graded approach to non-reductive physicalism, and to critically assess Davidson’s arguments for psychological anomaly. I also show how this approach can inform empirical research in cognitive science. (shrink)

Biology is in a unique position among the natural sciences. It is not simply complex physics and chemistry, for living organisms have a psychological as well as a physical side. Even as physical systems their character is highly special, largely because their material substance is continually changing; perhaps it was from them that Heraclitus derived his idea that all is flow. The comparison with vortexes and candle flames is an old one. Wilhelm Ostwald included living organisms in his class of (...) “stationary systems”: they represent not a static but a kinetic equilibrium, what we now often call a “steady state”; there is a balance of constitutive and dissipative processes. Materials and energy converge to the living center, undergo there characteristic transformations, among which complex chemical and structural syntheses are conspicuous, and are again distributed at random to the surroundings. The living organism is thus the seat of a special type of physical and chemical activity found nowhere else in nature, and it is significant that this is associated with psychical activity—demonstrably in the higher organisms, by implication in the lower. (shrink)