I present an argument for a sophisticated version of sceptical invariantism that has so far gone unnoticed: Bifurcated Sceptical Invariantism (BSI). I argue that it can, on the one hand, (dis)solve the Gettier problem, address the dogmatism paradox and, on the other hand, show some due respect to the Moorean methodological incentive of ‘saving epistemic appearances’. A fortiori, BSI promises to reap some other important explanatory fruit that I go on to adduce (e.g. account for concessive knowledge attributions). BSI can (...) achieve this much because it distinguishes between two distinct but closely interrelated (sub)concepts of (propositional) knowledge, fallible-but-safe knowledge and infallible-and-sensitive knowledge, and explains how the pragmatics and the semantics of knowledge discourse operate at the interface of these two (sub)concepts of knowledge. I conclude that BSI is a novel theory of knowledge discourse that merits serious investigation. (shrink)

Feminist sociologists claim that while feminist insights have been incorporated in sociological paradigms and women sociologists have been well-integrated into academia, sociological frameworks have not been transformed, a process known as the missing feminist revolution. Yet, few have examined how the missing feminist revolution operates in specific subdisciplines and the mechanisms that sustain it. This article undertakes these tasks by analyzing religion and gender scholarship published in six sociology journals over the past 32 years. We find evidence of partial integration (...) and continued marginalization. However, we also document disparate networks of interlocutors that operate in two distinct intellectual fields—religion and gender. We argue that this bifurcation partially explains the missing feminist revolution and that insularity of feminist conversations likely contributes to this process. Our findings shed light on obstacles to transforming mainstream disciplines. (shrink)

In this paper, a finance system with delay is considered. By analyzing the corresponding characteristic equations, the local stability of equilibrium is established. The existence of Hopf bifurcations at the equilibrium is also discussed. Furthermore, formulas for determining the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by applying the normal form method and center manifold theorem. Finally, numerical simulation results are presented to validate the theoretical analysis. Numerical simulation results show that delay (...) can lead a stable system into a chaotic state. (shrink)

ed individuals. Total diversity D is the sum of two fundamental principles governing broad classes of such..

Epistemological disjunctivism says that one can know that p on the rational basis of one’s seeing that p. The basis problem for disjunctivism says that that can’t be since seeing that p entails knowing that p on account of simply being the way in which one knows that p. In defense of their view disjunctivists have rejected the idea that seeing that p is just a way of knowing that p (the SwK thesis). That manoeuvre is familiar. In this paper (...) I explore the prospects for rejecting instead the thought that if the SwK thesis is true then seeing that p can’t be one’s rational basis for perceptual knowledge. I explore two strategies. The first situates disjunctivism within the context of a ‘knowledge-first’ approach that seeks to reverse the traditional understanding of the relationship between perceptual knowledge and justification (or rational support). But I argue that a more interesting strategy situates disjunctivism within a context that accepts a more nuanced understanding of perceptual beliefs. The proposal that I introduce reimagines disjunctivism in light of a bifurcated conception of perceptual knowledge that would see it cleaved along two dimensions. On the picture that results perceptual knowledge at the judgemental level is rationally supported by perceptual knowledge at the merely functional or ‘animal’ level. This supports a form of disjunctivism that I think is currently off the radar: one that’s consistent both with the SwK thesis and a commitment to a traditional reductive account of perceptual knowledge. (shrink)

We investigate the isochronous bifurcations of the straight-line librating orbit in the Hénon–Heiles and related potentials. With increasing scaled energy e, they form a cascade of pitchfork bifurcations that cumulate at the critical saddle-point energy e=1. The stable and unstable orbits created at these bifurcations appear in two sequences whose self-similar properties possess an analytical scaling behavior. Different from the standard Feigenbaum scenario in area preserving two-dimensional maps, here the scaling constants α and β corresponding to the two spatial directions (...) are identical and equal to the root of the scaling constant δ that describes the geometric progression of bifurcation energies en in the limit n→∞. The value of δ is given analytically in terms of the potential parameters. (shrink)

When reasoning about dependence relations, philosophers often rely on gradualist assumptions, according to which abrupt changes in a phenomenon of interest can only result from abrupt changes in the low-level phenomena on which it depends. These assumptions, while strictly correct if the dependence relation in question can be expressed by continuous dynamical equations, should be handled with care: very often the descriptively relevant property of a dynamical system connecting high- and low-level phenomena is not its instantaneous behavior, but its stable (...) fixed points (those in the vicinity of which it spends most of the time, after comparatively short transitory periods), and stable fixed points can change abruptly as a result of infinitesimal changes of the low-level phenomenon. We illustrate this potential gradualist trap by showing that Chalmers’s fading qualia argument falls in it. (shrink)

While this article sets out to advance our knowledge about the characteristics of Nigerian cybercriminals (Yahoo-Boys), it is also the first study to explore the narratives of the Economic and Financial Crimes Commission (EFCC) officers concerning them. It appraises symbolic interactionist insights to consider the ways in which contextual factors and worldview may help to illuminate officers’ narratives of cybercriminals and the interpretations and implications of such accounts. Semi-structured interviews of forty frontline EFCC officers formed the empirical basis of this (...) study and were subjected to a directed approach of qualitative content analysis. While prior studies, for example, indicated that only a group of cybercriminals deploy spiritual and magical powers to defraud victims (i.e. modus operandi), our data analysis extended this classification into more refined levels involving multiple features. In particular, analysis bifurcates cybercriminals and their operations based on three factors: [a] educational-attainment, [b] modus-operandi, and [c] networks-collaborators. Results also suggest that these cybercriminals and their operations are embedded in “masculinity-and-material-wealth”. These contributions thus have implications for a range of generally accepted viewpoints about these cybercriminals previously taken-for-granted. Since these criminals have victims all over the world, insights from our study may help various local and international agencies [a] to understand the actions/features of these two groups of cybercriminals better and develop more effective response strategies. [b] to appreciate the vulnerabilities of their victims better and develop more adequate support schemes. We also consider the limitations of social control agents’ narratives on criminals. (shrink)

The complex chaotic dynamics and multistability of financial system are some important problems in micro- and macroeconomic fields. In this paper, we study the influence of two-delay feedback on the nonlinear dynamics behavior of financial system, considering the linear stability of equilibrium point under the condition of single delay and two delays. The system undergoes Hopf bifurcation near the equilibrium point. The stability and bifurcation directions of Hopf bifurcation are studied by using the normal form method and (...) central manifold theory. The theoretical results are verified by numerical simulation. Furthermore, one feature of the proposed financial chaotic system is that its multistability depends extremely on the memristor initial condition and the system parameters. It is shown that the nonlinear dynamics of financial chaotic system can be significantly changed by changing the values of time delays. (shrink)

Chaos in nervous system is a fascinating but controversial field of investigation. To approach the role of chaos in the real brain, we theoretically and numerically investigate the occurrence of chaos inartificial neural networks. Most of the time, recurrent networks (with feedbacks) are fully connected. This architecture being not biologically plausible, the occurrence of chaos is studied here for a randomly diluted architecture. By normalizing the variance of synaptic weights, we produce a bifurcation parameter, dependent on this variance and (...) on the slope of the transfer function, that allows a sustained activity and the occurrence of chaos when reaching a critical value. Even for weak connectivity and small size, we find numerical results in accordance with the theoretical ones previously established for fully connected infinite sized networks. The route towards chaos is numerically checked to be a quasi-periodic one, whatever the type of the first bifurcation is. Our results suggest that such high-dimensional networks behave like low-dimensional dynamical systems. (shrink)

The dynamics of single populations up to ecosystems, are often described by one or a set of non-linear ordinary differential equations. In this paper we review the use of bifurcation theory to analyse these non-linear dynamical systems. Bifurcation analysis gives regimes in the parameter space with quantitatively different asymptotic dynamic behaviour of the system. In small-scale systems the underlying models for the populations and their interaction are simple Lotka-Volterra models or more elaborated models with more biological detail. The (...) latter ones are more difficult to analyse, especially when the number of populations is large. Therefore for large-scale systems the Lotka-Volterra equations are still popular despite the limited realism. Various approaches are discussed in which the different time-scale of ecological and evolutionary biological processes are considered together. (shrink)

In this essay I present a statement of Quine's indeterminacy thesis in its general form. It is shown that the thesis is not about difficulties peculiar to so-called "radical translation." It is a general thesis about meaning and reference with important consequences for any theory of our theories and beliefs. It is claimed that the thesis is inconsistent with Quine's realism, his doctrine of the relativity of reference, and that the argument for the thesis has the consequence that the concept (...) of stimulus meaning is empty. The sense in which linguistic science, as a branch of behavioral science, is "part of physics" is discussed. An alternative to Quine's view of the nature and content of linguistic science is proposed. It is shown to be consistent with Quine's assumptions concerning the legitimate scope of behavioral science and not to involve the notions of analyticity, synonymy and "prevalent attitudes toward meaning, idea and proposition" ([9], p. 304) rejected by Quine. (shrink)

Neurons encode and transmit signals through chemical synaptic or electrical synaptic connections in the actual nervous system. Exploring the biophysical properties of coupling channels is of great significance for further understanding the rhythm transitions of neural network electrical activity patterns and preventing neurological diseases. From the perspective of biophysics, the activation of magnetic field coupling is the result of the continuous release and propagation of intracellular and extracellular ions, which is very similar to the activation of chemical synaptic coupling through (...) the continuous release of neurotransmitters. In this article, an induction coil is used to connect two HR neurons to stimulate the effect of magnetic field coupling. It is inevitable that time delays can affect the coupling process in the transmission of information, and it should be considered in the coupled model. Firstly, the firing characteristics and bifurcation modes of two coupled HR neurons are studied by using one parameter and two parameters bifurcation. With the increase of propagation delay and coupling gain, the chaotic state of neurons disappears and the high-period window decreases due to the influence of energy transfer between neurons. Then, the synchronization patterns of two HR neurons with different stimulation are analyzed by error diagrams and time series diagrams. It is confirmed that the synchronous pattern has certain regularity and is related not only to the neurons with large stimulation current but also to the time delay and coupling gain. The research conclusions of this article will provide the corresponding theoretical basis for medical experiments. (shrink)

The Thomas precession of relativity physics gives rise to important isometries in hyperbolic geometry that expose analogies with Euclidean geometry. These, in turn, suggest our bifurcation approach to hyperbolic geometry, according to which Euclidean geometry bifurcates into two mutually dual branches of hyperbolic geometry in its transition to non-Euclidean geometry. One of the two resulting branches turns out to be the standard hyperbolic geometry of Bolyai and Lobachevsky. The corresponding bifurcation of Newtonian mechanics in the transition to Einsteinian (...) mechanics indicates that there are two, mutually dual, kinds of uniform accelerations. Furthermore, while current hyperbolic geometry “does not use the notion of vector at all” (I. M. Yaglom, Geometric Transformations III, p. 135, trans. by Abe Shenitzer, Random House, New York, 1973), our bifurcation approach exposes the elusive hyperbolic vectors, that we call gyrovectors. (shrink)

This is a critical notice of Mario Gómez-Torrente's novel account of demonstrative reference presented in chapter 2 of the recently published book Roads to Reference. After presenting the main tenets of his view, I go on to critically examine a couple of its features. In section 2, I assess Gómez-Torrente’s assumption that demonstrative thought based on perception is less likely to succumb to indeterminacy than the others. I show that this aspect of his view invites unwelcome consequences regarding the transparency (...) of thought. I do however suggest that this problem could be overcome by individuating perceptual intentions dynamically. In section 3, I express a distinct worry regarding a case, introduced en passant by Gómez-Torrente, that involves successful demonstrative reference regardless of its utterer's conflicting intentions, a result that seems to contradict his general theory. Instead of conceiving the case as exceptional, I use it to motivate the necessity of distinguishing between a subject’s referential intentions and a subject’s merely collateral beliefs about the target of his utterance. (shrink)

This paper addresses the existence of Hopf bifurcations in a directed acyclic network of neurons, each of them being modeled by a Hindmarsh–Rose neuronal model. The bifurcation parameter is the small parameter corresponding to the ratio of time scales between the fast and the slow dynamics. We first prove that, under certain hypotheses, the single uncoupled neuron can undergo a Hopf bifurcation. Hopf bifurcation occurrences in a directed acyclic network of HR neurons are then discussed. Numerical simulations (...) are carried out to observe these bifurcations and to illustrate the theoretical results. (shrink)

A reaction diffusion system is used to study the interaction between species in a population dynamic system. It is not only used in a population dynamic system with the diffusion phenomenon but also used in physical chemistry, medicine, and animal and plant protection. It has been studied by more and more scholars in recent years. The FitzHugh–Nagumo model is one of the most famous reaction-diffusion models. This article takes a deeper look at a FitzHugh–Nagumo model in a network with time (...) delay. Firstly, we studied the linear stability of the equilibrium, then the existence of Hopf bifurcation is given, and finally, the stability of the Hopf bifurcation is introduced. (shrink)

In this short essay I address the central topic of the Centenary Workshop on Acidity, that is the relations of the classical protonist acid–base theory by Brønsted and the electronist approach by Lewis. Emphasis is laid on the empirical background of both approaches and the over-theoretization of chemical phenomena (essentialism) is criticized.

The world I grew up in believed that change and development in life are part of a continuous process of cause and effect, minutely and patiently sustained throughout the millenniums. With the exception of the initial act of creation ..., the evolution of life on earth was considered to be a slow, steady and ultimately demonstrable process. No sooner did I begin to read history, however, than I began to have my doubts. Human society and living beings, it seemed to (...) me, ought to be excluded from so calm and rational a view. The whole of human development, far from having been a product of steady evolution, seemed subject to only partially explicable and almost invariably violent mutations. Entire cultures and groups of individuals appeared imprisoned for centuries in a static shape which they endured with long-suffering indifference, and then suddenly, for no demonstrable cause, became susceptible to drastic changes and wild surges of development. It was as if the movement of life throughout the ages was not a Darwinian caterpillar but a startled kangaroo, going out towards the future in a series of unpredictable hops, stops, skips and bounds. Indeed, when I came to study physics I had a feeling that the modern concept of energy could perhaps throw more light on the process than any of the more conventional approaches to the subject. It seemed that species, society and individuals behaved more like thunder-clouds than scrubbed, neatly clothed and well-behaved children of reason. Throughout the ages life appeared to build up great invisible charges, like clouds and earth of electricity, until suddenly in a sultry hour the spirit moved, the wind rose, a drop of rain fell acid in the dust, fire flared in the nerve, and drums rolled to produce what we call thunder and lightening in the heavens and chance and change in human society and personality.LAURENS VAN DER POST, The Lost World of the Kalahari. (shrink)

This paper examines the pressures leading two very different Early Modern philosophers, Descartes and Locke, to invoke two ways in which thought is directed at objects. According to both philosophers, I argue, the same idea can simultaneously count as “of” two different objects—in two different senses of the phrase ‘idea of’. One kind of intentional directedness is invoked in answering the question What is it to think that thus-and-so? The other kind is invoked in answering the question What accounts for (...) the success of our proper methods of inquiry? For Descartes as well as Locke, the two kinds of “ofness” come apart as a result of strong rationalist commitments. However, I will suggest that even if we reject such commitments, we go wrong if we assume that a single kind of intentional directedness suffices to address both questions. (shrink)

It has become customary in the virtue epistemological literature to distinguish between responsibilist and reliabilist virtue theories. More recently, certain problems affecting the former have prompted epistemologists to suggest that this distinction in virtue theory maps on to a distinction in virtue, specifically between character and faculty virtue. I argue that we lack good reason to bifurcate virtue in this manner, and that this moreover counts in favor of the virtue reliabilist.

The present paper aims to investigate the causes of genocidal mobilization associated with the involvement of ordinary people. I discuss the “innocent causes” of criminal choices made by perpetrators who are not leaders, sadists or radicals. To this end, I compared three total genocides, of Armenians, Jews, Romani, Tutsi and Twa, and selected partial genocides. My analysis proves that entire nations or ethnic groups may be exterminated because many people make criminal choices which are motivated by values and norms that (...) in other circumstances would be considered acceptable or even commendable. These choices are made partly due to the structural pressure of circumstances and are partly derived from dispositions shaped in the course of primary and secondary socialization. Yet, they always require the reflexive mediation of “objective” social forces. (shrink)

According to recent suggestions within the global pragmatism discussion, metaethical debate must be fundamentally re-framed. Instead of carving out metaethical differences in representational terms, it has been argued that metaethics should be given an inferentialist footing. In this paper, I put inferentialist metaethics to the test by subjecting it to the following two criteria for success: Inferentialist metaethicists must be able to save the metaethical differences between moral realism and expressivism, and do so in a way that employs understandings of (...) these metaethical accounts which would be acceptable to moral realists or expressivists who endorse an inferentialist theory of meaning. Two results follow from my discussion. The first concerns inferentialist metaethics more narrowly, casting doubts on inferentialists’ ability to fulfil the two criteria for success by showing that proposed metaethical demarcation attempts either meet the first criterion but violate the second, or pass the second criterion but fail the first. The second upshot pertains to the global pragmatism debate more widely, pressing the point that inferentialists have not as yet provided a convincing account of ontological commitment. (shrink)

Michel Henry wishes to salvage Descartes’s first principle ‘I think, I am’ by claiming that there is no need to appeal to the world or others to make sense of the self. One of his main targets is Edmund Husserl, who claims that thought is necessarily intentional and thus necessarily about something that is other to thought. To show that this is not so, Henry draws on passages from Descartes’s texts which emphasize that we should not equate the cogito with (...) thinking but with sensation and imagination. This allows Henry to explore the notion that the self has its own form of manifestation. This paper questions Henry’s reading of Descartes and his critique of Husserl on two fronts. First, the passages Henry draws upon, if anything only confirm, rather than question Husserl’s claim that consciousness is intentional. Second, Henry believes that he can show that the life of the self is infinitely rich without having to appeal to other persons or, indeed, to the world. Yet, I wish to contend that Henry is mistaken: as Husserl has shown convincingly, a life without others and the world is not only impoverished and bereft of meaning, but remains entirely indeterminate. The self only manifests itself with respect to others and the world. (shrink)

Traditional expressivists want to preserve a contrast between the representational use of declarative sentences in descriptive domains and the non-representational use of declarative sentences in other areas of discourse. However, expressivists have good reasons to endorse minimalism about representational notions, and minimalism seems to threaten the existence of such a bifurcation. Thus, there are pressures for expressivists to become global anti-representationalists. In this paper I discuss how to reconstruct in non-representationalist terms the sort of bifurcation traditional expressivists were (...) after. My proposal is that the relevant bifurcation can be articulated by appeal to the contrast between relativistic and non-relativistic assertoric practices. I argue that this contrast, which can be specified without appeal to representational notions, captures the core intuitions behind the expressivist bifurcation. (shrink)

The dynamical behaviour of a very general model of neural networks with random asymmetric synaptic weights is investigated in the presence of random thresholds. Using mean-field equations, the bifurcations of the fixed points and the change of regime when varying control parameters are established. Different areas with various regimes are defined in the parameter space. Chaos arises generically by a quasi-periodicity route.

In a recent article Sachs suggests that the concept of somatic intentionality is the key to understanding how the conceptual order is externally constrained by something outside itself which is nonetheless fully intentional in nature. Sachs claims that his proposal fares better than Sellars’ view on the issue of how our experience can so much as be about objective reality. In this paper, I shall argue that this is not the case because Sellars’ view is in crucial respects misdescribed. Sachs (...) suggests that Sellars’ view is problematic because 1) conceptual intentionality cannot objectively constrain the conceptual order due to its essential discursive form, and 2) a non-intentional consciousness cannot provide an objective worldly constraint on conceptual intentionality because it is not world-directed. However neither of these points succeeds in capturing Sellars’ actual position. Further I will suggest the deepest problem which phenomenological views of a Merleau-Pontyan stripe face in the.. (shrink)

The concept of green chemistry dominated the imagination of environmentally-minded chemists over the last thirty years. The conceptual frameworks laid by the American Environmental Protection Agency scholars in the 1990s constitute today the core of a line of thinking aimed at transforming chemistry into a sustainable science. And yet, in the shadow of green chemistry, a broader, even if less popular, concept of sustainable chemistry started taking shape. Initially, it was either loosely associated with green chemistry or left undefined as (...) a distinct but generaly different approach. In such a vague form, it was endorsed by the organizations such as OECD and the IUPAC in the late 1990s. It was not until the 2010s however, when it solidified as a separate more embracing and more overarching tradition that could compete with green chemistry by offering insights that the latter lacked. Sustainable chemistry seeks to transcend the narrow focus on chemical synthesis and embrace a much more holistic view of chemical activities including social responsibility and sustainable business models. Due to an interesting historical coincidence, it was in Germany where sustainable chemistry took roots and became institutionalized for the first time. It was thanks to German exceptionalism and the unwillingness of German scholars to embrace the “green” terminology originating from the US, the concept of sustainable chemistry could safely mature and develop in the German-speaking world, before reaching a high degree of formalization with dedicated journals, founding articles, and programmatic principles aspiring to transform the entire chemical enterprise in the years to come. (shrink)