Here, a novel conservative chaotic oscillator is presented. Various dynamics of the oscillator are examined. Studying the dynamical properties of the oscillator reveals its unique behaviors. The oscillator is multistable with symmetric dynamics. Equilibrium points of the oscillator are investigated. Bifurcations, Lyapunov exponents, and the Poincare section of the oscillator’s dynamics are analyzed. Also, the oscillator is investigated from the viewpoint of initial conditions. The study results show that the oscillator is conservative and has no dissipation. It also has various (...) dynamics, such as equilibrium point and chaos. The stability analysis of equilibrium points shows there are both stable and unstable fixed points. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Plot Taxonomies and IntentionalityJon AdamsEver popular among the various topics occupying non-academic conversations about literature—such as the identity of the real author of the plays attributed to "Shakespeare"—is the notion that there exists only a finite number of storylines, and that all the stories we know are only ever complications or rehearsals of these few, elementary plots. What is the status of that claim? The issue gains a (...) renewed relevance in light of literary criticism's recent interest in the possibilities of employing evolutionary psychology as a means of naturalising literary study, but interest in plot taxonomies stretches a long way back. Why might we seek to categorise plots into a finite taxonomy? And what are the implications of the claim if true?Organising literature into any classificatory scheme is an attempt to achieve something like the coherence that the natural sciences have achieved—in chemistry and physics with the composition of the periodic table, and in biology with Linnaean classification. Much of science's epistemic prestige is rooted in the enormous success with which they have organised and categorised their subject of study. In searching for mechanism and pattern, the natural sciences proceed confidently from the belief that those mechanisms and patterns exist to be discovered, and that (relatively) simple rules underlie the manifest complexity of natural phenomena.Unfortunately, the study of literary fiction has no such security. There are two senses here in which we can talk of literature being patterned. At the micro-level, we have the question of whether individual works can be thought of as internally patterned. Usually, this type of patterning is easy enough to establish and recognise, and something the author is (or ought to be) in a good position to control. But, of course, internal [End Page 102] structures are not always conspicuous, and readers faced with an overtly complex text, like Pound's Cantos, or Finnegans Wake, have no guarantee that there is sense to be made of it. Surface complexity may shield a profound and subtle architecture, or the work may be as unstructured, fragmentary, and chaotic as it initially appears. A frustrated Wayne C. Booth draws attention to the problem: "One can't be sure that Finnegans Wake is not a great novel; perhaps someday readers will discover that the complex structure they now dream of and quarrel about is a realizable structure, an experienced structure. I doubt it, but it may happen. Until then, each new intricacy discovered... reveals precisely nothing more than that: a new intricacy."1 What's missing is a conceptual centre around which overall coherence might be achieved from what had seemed to be unconnected parts. Even so, if this sort of centre cannot be found in the individual work, it may yet obtain between works. In other words, The Cantos or Finnegans Wake may yet occupy nodal roles in a larger system, within which they acquire a previously unrecognized unity and order. This type of organization is something the individual author is obviously in a much less suitable position to control. Nonetheless, mapping out this larger, macro-level order is a task that literary criticism might want to take on. There is the example Borges uses of how Kafka's work retrospectively confers a familial similarity upon previously unconnected works. The quality of being "Kafkaesque" is the only thing common to the pieces, but was not apparent (or rather—the paradox that excites Borges—did not exist) prior to Kafka's writing.2 This is the second sense in which literature might be thought of as patterned; that is, not within works, but across them. On the larger scale, is it possible that literature as a whole could be understood as patterned?The notion that literature can be understood "as a whole," and its corollary, that a literature so understood would submit to taxonomical classification, is an enduring one. Anthropologists and art historians have long acknowledged that there appear to be recurring themes, motifs, and commonalities across world cultures, and consequently, commonalities among the narratives those cultures construct and consume. Cataloguing these similarities has produced a variety of classificatory systems.In the mid-nineteenth century, German scholar Adolf... (shrink)

Dissipative structures exist at all scales, systems, and at different levels of complexity. A thermodynamic theory integrating simple and complex DS is introduced, which addresses existence of growing/decaying DS based on their entropy analysis. Two entropy-based dimensionless ratios are introduced, which explain negentropy-debt payment and existence of DS with growth or decay. It is shown that excess negentropy debt payment is needed and beneficial for growing DS; but for decaying DS, it hastens its approach to perish and is (...) counter-productive. Growing complex DS tend to pay lower negentropy debt to their surroundings, due to involvement in other activities enabled by complexity; e.g. mediation for survival that is linked to their mortality. Hence, disorder of complex DS increases, due to which, their growth can be un-sustained, leading to entry in decay-phase in spite of availability of adequate mass-energy in-flows. Proper handling or reduction of complexity enables growth in the direction of ideal growth, which is limited only by availability of adequate mass-energy in-flows. (shrink)

According to a straightforward, conservative account of English demonstratives, simple and complex demonstratives are referring expressions belonging to the same semantic category (but they could be understood as either terms or quantifiers); the denotation of a complex demonstrative “dF” (if it has one) must satisfy the nominal “F” in “dF”; and both simple and complex demonstratives function as rigid designators. According to a recent alternative advanced by Lepore and Ludgwig, simple and complex demonstratives (...) belong to different semantic categories (the former being terms while the latter are restricted quantifier phrases); the denotation of a complex demonstrative “dF”(if it has one) need not satisfy the nominal “F”; and complex demonstratives can have narrow scope, which implies that they do not always function as rigid designators. This paper provides evidence that supports the conservative account against the claims of Lepore and Ludwig’s alternative. (shrink)

Eric Olson has argued, startlingly, that no coherent account can be giv- en of the distinction made in the personal identity literature between ‘complex views’ and ‘simple views’. ‘We tell our students,’ he writes, ‘that accounts of personal identity over time fall into [these] two broad categories’. But ‘it is impossible to characterize this distinction in any satisfactory way. The debate has been systematically misdescribed’. I argue, first, that, for all Olson has said, a recent account by Noonan (...) provides the coherent characterization he claims impossible. If so we have not been wrong all along in the way he says in what we have been telling our students. I then give an account of the distinction between the reductionist and non-reductionist positions which makes it differ- ent from the complex/simple distinction. The aim is to make clear sense of the notion of a not simple but non-reductionist position — which seems an eminently reasonable possibility and something it may also be useful to tell our students about. (shrink)

This chapter contains sections titled: Introduction The Elements of Tragedy and Its Definition Plot and Character Simple and Complex Plots Good and Bad Tragic Plots Conclusion Notes Bibliography.

To cover as much as possible the various questions raised by the commentators, I have divided my Response into three major sections. In section R1, I reply to the major comments and remarks dealing with the basic hypothesis upon which the kinematic theory is built (Plamondon 1993b; 1993c; 1995a; 1995b). I focus on linearity, determinism, kinematics, and the biological significance of the model parameters. I conclude this section by showing how, from a practical point of view, the delta-lognormal law can (...) be used to group similar data prior to proceeding with further statistical analysis. In section R2, I address the main comments and remarks dealing with the speed/accuracy tradeoffs. First, I focus on the origin of speed/accuracy tradeoffs and the effect of visual feedback. Then I clarify some terminology problems and mathematical misinterpretations prior to providing new support for the theory using the experiments and data referred to by some commentators. I devote section R3 to a generalization of the kinematic theory and to some potential applications. I first provide new explanations of some classical experiments; then I show how more complex movements can be analyzed using the delta-lognormal law. I focus on perturbed and oscillatory movements as well as on cursive script and signature analysis. I conclude this section and my Response by showing some possible applications to the study of movement learning in children as well as to the study of aging phenomena in movement control. I complete my Response by recalling some technical problems that still need further analysis. Throughout the text, I try to convince the reader that the kinematic theory provides a new window on old and new data in the field. (shrink)

Engineers fine-tune the design of robot bodies for control purposes, however, a methodology or set of tools is largely absent, and optimization of morphology (shape, material properties of robot bodies, etc.) is lagging behind the development of controllers. This has become even more prominent with the advent of compliant, deformable or ”soft” bodies. These carry substantial potential regarding their exploitation for control—sometimes referred to as ”morphological computation”. In this article, we briefly review different notions of computation by physical systems and (...) propose the dynamical systems framework as the most useful in the context of describing and eventually designing the interactions of controllers and bodies. Then, we look at the pros and cons of simple vs. complex bodies, critically reviewing the attractive notion of ”soft” bodies automatically taking over control tasks. We address another key dimension of the design space—whether model-based control should be used and to what extent it is feasible to develop faithful models for different morphologies. (shrink)

It is a well-known fact that Ernst Cassirer was inspired by his colleague, the biologist Jakob von Uexkiill at the university of Hamburg. This paper claims this inspiration was double—affecting both Cassirer's philosophical anthropology and Cassirer's epistemology of biology, but in two rather different ways. Thus, the paper intends to shed light on a corner of the history of the development of German thought of the interwar period. It may also have an actual interest because both Cassirer and Uexkiill enjoy, (...) for the time being and each in their way, a renaissance, e.g. in the recent field of biosemiotics. (shrink)

Both extended simples and unextended complexes have been extensively discussed and widely used in metaphysics and philosophy of physics. However, the characterizations of such notions are not entirely satisfactory inasmuch as they rely on a mereological notion of extension that is too simplistic. According to such a mereological notion, being extended boils down to having a mereologically complex exact location. In this paper, I make a detailed plea to supplement this notion of extension with a different one that is (...) phrased in terms of measure theory. This proposal has significant philosophical payoffs. I provide new characterizations of both extended simples and unextended complexes, that help re-evaluating the question of whether such entities are metaphysically possible. Finally, I advance several suggestions as to how different notions of extension relate, first, to one another and, second, to mereological structure. (shrink)

La question de ce petit livre est simple : peut-on aller au-delà du constat de crise et d'impuissance dont le philosophe se fait le prophète depuis plus d'un siècle? Peut-on parler de la science sans complexe d'infériorité, de Dieu sans obscurantisme, d'existence sans tomber dans la banalité du café du commerce, de politique sans consacrer le cynisme, de morale sans faire dans le sermon? Bref, la philosophie peut-elle aider à faire comprendre et à dépasser les apories du temps présent (...) qu'elle a fait siennes, comme un malade ressasse sa propre maladie pour se donner le sentiment qu'ainsi il peut la mettre à distance à défaut de la vaincre? Toutes ces questions sont aujourd'hui les nôtres, et il ne faut pas avoir peur de parler des grands problèmes qui agitent les hommes depuis l'aube des temps, car si la philosophie a un sens, c'est bien en ce qu'elle envisage les questions ultimes dans une plus ou moins grande systématicité selon les époques. (shrink)

Atomism denies that complexes exist. Common-sense metaphysics may posit masses, composite individuals and sets, but atomism says there are only simples. In a singularist logic, it is difficult to make a plausible case for atomism. But we should accept plural logic, and then atomism can paraphrase away apparent reference to complexes. The paraphrases require unfamiliar plural universals, but these are of independent interest; for example, we can identify numbers and sets with plural universals. The atomist paraphrases would fail if plurals (...) presuppose complexes: but an Appendix shows that reference to complexes is not required in the semantics of plurals. (shrink)

Contemporary Complex Cinema. Complex conditions: the resurgence of narrative complexity ; Complex cinema as brain-candy for the empowered viewer ; Narrative taxonomies: simple, complex, puzzle plots -- Cognitive Approach to Contemporary Complex Cinema. Why an (embodied-)cognitive approach? ; Various forms of complexity and their effects on sense making ; Problematizing narrative linearity ; Complicating narrative structures and ontologies ; Under-stimulation and cognitive overload ; Contradictions and unreliabilities ; A cognitive approach to classifying complexity (...) ; Deceptive unreliability and the twist film ; Disorienting but solvable puzzle films ; Impossible puzzle films -- Narrative Complexity and Dissonant Cognitions. The concept of cognitive dissonance ; Cognitions in dissonance: from social psychology to narrative engagement ; Types of dissonance in narrative comprehension ; Narrative incongruities ; Narrative impossibilities ; Cognitive access to impossible storyworlds: immersed and reflected operations ; 'Impossibilities' and embodied cognition ; Disrupting viewers' reliance on image schemas by perceptual impossibility ; Disrupting viewers' reliance on image schemas by formal impossibility -- Taming Dissonance: Cognitive Operations and Interpretive Strategies. Cognitive dissonance versus narrative coherence ; Reducing dissonance: interpretation and naturalization ; Foregrounding ; Narrating agency and authorship ; Artefact emotions and metareflexive appreciation ; Interpretation as dissonance reduction ; Coping with dissonance: frame-switches and poetic and aesthetic readings ; Frame-switching as hermeneutic play in impossible puzzle films ; Switching between narrative and symbolical readings: Enemy and Mulholland Drive ; Cognitive hesitation and the fantastic -- Impossible Puzzle Films: Between Art-Cinema and (Post-) Classical Narration. From art-cinema to puzzle films ; Art-cinema as a narrative mode ; Dissonance in modernist art-cinema ; Art-cinema as a cognitive reception frame ; Narrative complexity and meaning-making in art-cinema ; Impossible puzzle films and (post-)classical narration ; High degree of tellability ; Identification with goal-oriented characters ; Strong reliance on classical genre elements ; Adherence to classical narrative cohesion devices ; Inclusion of quasi-rational frames of naturalization -- Wallowing in Dissonance: The Attractiveness of Impossible Puzzles. Hermeneutic play and interpretive multiplicity ; Orientation, navigation, mapping ; Game logic and the fascination in failure ; Effort justification ; Diegetization of decoupling ; Fascination in infinity ; Destabilized ontological certainty ; Eudaimonic motivations and intrinsic needs. (shrink)

Let μ be a universal lower enumerable semi-measure . Any computable upper bound for μ can be effectively separated from zero with a constant . Computable positive lower bounds for μ can be nontrivial and allow one to construct natural examples of hypersimple sets.

In the current study, we aimed at understanding the effect of exposure to complex input on speech sound development, by conducting a systematic meta-analysis review of the existing treatment-based studies employing complex input in children with speech sound disorders. In the meta-analysis review, using a list of inclusion criteria, we narrowed 280 studies down to 12 studies. Data from these studies were extracted to calculate effect sizes that were plotted as forest plots to determine the efficacy of (...) complexity-based treatment approaches. The outcome variables of interest were improvement on the treated and generalization to the untreated sounds. Meta-analysis revealed that the exposure to complex input not only promoted improvement in production of complex speech sounds but also facilitated the production of untreated simple speech sounds. Overall, the current findings revealed that the exposure to complex input promotes acquisition of both complex and simple speech sounds. The current findings are in line with the models of language learnability. The current findings have implications in the treatment of speech sound disorders. (shrink)

The paper discusses properties of 4QL, a DATALOG⌉⌉-like query language, originally outlined by Maluszyński and Szalas (Maluszyński & Szalas, 2011). 4QL allows one to use rules with negation in heads and bodies of rules. It is based on a simple and intuitive semantics and provides uniform tools for “lightweight” versions of known forms of nonmonotonic reasoning. Negated literals in heads of rules may naturally lead to inconsistencies. On the other hand, rules do not have to attach meaning to some (...) literals. Therefore 4QL is founded on a four-valued semantics, employing the logic introduced in (Maluszyński et al., 2008; Vitória et al., 2009) with truth values: ‘true’, ‘false’, ‘inconsistent’ and ‘unknown’. In addition, 4QL is tractable w.r.t. data complexity and captures PTIME queries. Even though DATALOG⌉⌉ is known as a concept for the last 30 years, to our best knowledge no existing approach enjoys these properties.In the current paper we:investigate properties of well-supported models of 4QLprove the correctness of the algorithm for computing well-supported modelsshow that 4QL has PTIME data complexity and captures PTIME. (shrink)

Much complexity we see around us stems from a similar source, structures generated by the interactive combination of many constituents. The constituents themselves can be rather simple, so can the relation between any two. However, because there are so many constituents in a large system, their multiple relations generate a relational network that can be highly complex, variegated, and surprising.

Spinoza’s Ethics, and its project of proving ethical truths through the geometric method, have attracted and challenged readers for more than three hundred years. In Spinoza and the Cunning of Imagination, Eugene Garver uses the imagination as a guiding thread to this work. Other readers have looked at the imagination to account for Spinoza’s understanding of politics and religion, but this is the first inquiry to see it as central to the Ethics as a whole—imagination as a quality to be (...) cultivated, and not simply overcome. ​Spinoza initially presents imagination as an inadequate and confused way of thinking, always inferior to ideas that adequately represent things as they are. It would seem to follow that one ought to purge the mind of imaginative ideas and replace them with rational ideas as soon as possible, but as Garver shows, the Ethics don’t allow for this ultimate ethical act until one has cultivated a powerful imagination. This is, for Garver, “the cunning of imagination.” The simple plot of progress becomes, because of the imagination, a complex journey full of reversals and discoveries. For Garver, the “cunning” of the imagination resides in our ability to use imagination to rise above it. (shrink)

Richard Swinburne, in his The Existence of God (2004), presents a cosmological argument in defence of theism (Swinburne 1991: 119, 135). God, Swinburne argues, is more likely to bring about an ordered universe than other states (ibid.: 144, 299). To defend this view, Swinburne presents the following arguments: (1) That this ordered universe is a priori improbable (2004: 49, 150, 1991: 304 et seq.), given the stringent requirements for life (cf. also Leslie 2000: 12), and the Second Law of Thermodynamics (...) (Giancoli 1990: 396); (2) That it seems as if this ordered universe can be explained by theism; (3) A theistic explanation for the universe is more probable because it is a simple explanation. To this end, Swinburne makes use of Bayes’ Theorem. Symbolically, this claim can be represented as (e) for the evidence of the existence of a complex universe, and (h) for a hypothesis. Swinburne’s argument is that theism has a higher prior probability, P(htheism) > P(hmaterialism), since theism is simpler than materialism. He concludes that P(e|htheism) > P(e|hmaterialism). In this paper I will address only this argument (3) above, and defend the view that it is false: theism is not simpler than materialism, nor it is more probably true. I conclude that theism is less probable than materialism, expressed by P(htheism) < P(hmaterialism) : 2/N(2n+1) < 1/n, where N is the number of possible universes and n the number of entities in existence. (shrink)

BackgroundResearchers are working to identify dynamic factors involved in the shift from behavioral initiation to maintenance—factors which may depend on behavioral complexity. We test hypotheses regarding changes in factors involved in behavioral initiation and maintenance and their relationships to behavioral frequency over time, for a simple vs. complex behavior.MethodsData are secondary analyses from a larger RCT, in which young adult women, new to both behaviors, were randomly assigned to take daily calcium or to go for a daily, brisk (...) walk, for 4-weeks. Factors were measured weekly. Multi-level modeling evaluated their change over time. Bivariate correlations and multiple regression determined the relationships between factors and the subsequent-week behavioral frequency.FindingResults were partly in-line with expectations, in that individuals’ intentions and self-efficacy predicted initial behavioral engagement for both behaviors, and habit strength increased for both behaviors, becoming a significant predictor of behavioral frequency in later weeks of the study in some analyses. However, results depended on whether the outcome was self-reported or objectively measured and whether analyses were bivariate or multivariate.DiscussionThe factors theorized to play a role in behavioral maintenance started to develop, but only habit strength predicted behavioral frequency by study-end, for both behaviors. Differences in initiation and maintenance between behaviors of differing complexity may not be as stark as theorized, but longer follow-up times are required to evaluate maintenance factors. (shrink)

Complex Systems Biology approaches are here considered from the viewpoint of Robert Rosen’s (M,R)-systems, Relational Biology and Quantum theory, as well as from the standpoint of computer modeling. Realizability and Entailment of (M,R)-systems are two key aspects that relate the abstract, mathematical world of organizational structure introduced by Rosen to the various physicochemical structures of complex biological systems. Their importance for understanding biological function and life itself, as well as for designing new strategies for treating diseases such as (...) cancers, is pointed out. The roles played by multiple metastable states in the “continuous uphill flow of Life” supported through internal bioenergetic processes that are coupled to essential inflows are also discussed in relation to dynamic realizations of (M,R)-systems. Furthermore, the roles played by the underlying, many-valued, quantum logics and symbolic computations for ultra-complex biological systems are also briefly discussed. (shrink)

Some scholars believe thot Cognitive Science is the attempt to achieve in artificial systems what has already been achieved in the brain. Others, by contrast, argue that the study of ideal adaptive mechanisms could go on without reference to the brain. The author points out that the brain may not be the ideal cognitive device because of biological limitotions on its capacity. Although it may not be ideal, it is still of major interest to cognitive scientists because of the great (...) interest in the human mind, and, in addition, because at this moment the brain is the most important single reservoir of odoptive mechanisms.The paper discusses several areas of neuroscience which are likely to shed light on mechanisms of adaptation. The study of simple nervous systems is likely to reveal important design principles of cognitive devices. The study of complex nervous systems will, of course, exert a major influence. The study of such systems leads to certain general principles concerning the neural circuits involved in complex odoptive behaviors: (1) There exist innate specialized systems for the learning of many specific behaviors that at first might appeor to be purely cultural. (2) There is no evidence for the existence of any all‐purpose computer in the brain. (3) There are many surprising dissociations manifested by the specialized systems in the brain, e.g., a special system for recognition of faces as against other visual patterns. (4) The study of the nervous system enables one to formulate more precise mechanisms for the role of emotion in cognitive function.(5) Some human behoviors con probably be understood poorly or not at all if the neural substrate is not considered. (6) The cognitive systems designed for dealing with ottentionol processes may be among the most complex neural structures which underlie behavior.There are certain other properties of brains that should be kept in mind by the cognitive scientists who are studying human behovior: (1) Brains differ from each other in structure, and it is very likely that the strategy for the solution of certain problems differs from person to person. (2) The presence of certain innate cognitive strategies in the brain may prevent that organism from employing other strategies which might be optimal for other problems. (3) Any theory about a particular cognitive strategy will have implications as to the particular mode of breakdown that might be expected after brain lesions. The study of disordered function from brain disease may thus be a valuable way to test certain cognitive theories. (shrink)

(This version was submitted to Behavioral and Brain Science. A revised version was published by Biological Theory) Estimates of autism’s incidence increased 5-10 fold in ten years, an increase which cannot be genetic. Though many mutations are associated with autism, no mutation seems directly to cause autism. We need to find the direct cause. Complexity science provides a new paradigm - confirmed in biology by extensive hard data. Both the body and the personality are complex dynamic systems which spontaneously (...) self-organize from simple dynamic systems. Autism may therefore be caused by the failure of a simple dynamic system. We know that infants who cannot track their mother’s face often become autistic, that eye-contact initiates intersubjectivity which is blocked in autism, and that the infant-mother pair seems designed to promote eye-contact, as does the eye’s appearance. This author earlier proposed that failure of eye-contact might directly cause autism and that early non-maternal childcare, including television/video, would therefore be statistically linked to autism. Waldman et al. (2008; 2006) recently proved that autism is strongly linked to precipitation (indoor activity) and to the introduction of cable. The most plausible explanation? Early exposure to television/video is linked to autism. Furthermore a normal developmental cascade (blocked in autism) has been deciphered: (a) Infant-mother eye-contact triggers increased maternal attention. (b) Early maternal attention permanently increases not only baseline vasopressin but also that oxytocin release which is triggered by subsequent maternal attention. (c) Vasopressin and oxytocin promote face recognition, gazing-at-the-eyes, emotion recognition, and social bonding. The eye-contact hypothesis suggests a clinical study addressing prevention: recruit prospective parents who agree to curtail television/video/computer/wi-fi in their families; measure autism’s incidence in their children. (shrink)