Arguments for the effectiveness, and even the indispensability, of mathematics in scientific explanation rely on the claim that mathematics is an effective or even a necessary component in successful scientific predictions and explanations. Well-known accounts of successful mathematical explanation in physical science appeals to scientists’ ability to solve equations directly in key domains. But there are spectacular physical theories, including general relativity and fluid dynamics, in which the equations of the theory cannot be solved directly in target domains, (...) and yet scientists and mathematicians do effective work there (McLarty 2023, Elder 2023). Building on extant accounts of structural scientific explanation (Bokulich 2011, Leng 2021), I argue that philosophical accounts of the role of equations in scientific explanation need not rely on scientists’ ability to solve equations independently of their understanding of the empirical or experimental context. For instance, the process of formulating solutions to equations can involve significant appeal to information about experimental contexts (Curiel 2010) or of physically similar systems (Sterrett 2023). Working from a close analysis of work in fluid mechanics by Martin Bazant and Keith Moffatt (2005), I propose an account of heuristic structural explanation in mathematics (Einstein 1921, Pincock 2021), which explains how physical explanations can be constructed even in domains where basic equations cannot be solved directly. (shrink)

This paper is devoted to the control problem of a nonlinear dynamical system obtained by a truncation of the two-dimensional Navier–Stokes equations with periodic boundary conditions and with a sinusoidal external force along the x-direction. This special case of the 2D N-S equations is known as the 2D Kolmogorov flow. Firstly, the dynamics of the 2D Kolmogorov flow which is represented by a nonlinear dynamical system of seven ordinary differential equations of a laminar steady state flow (...) regime and a periodic flow regime are analyzed; numerical simulations are given to illustrate the analysis. Secondly, an adaptive controller is designed for the system of seven ODEs representing the approximation of the dynamics of the 2D Kolmogorov flow to control its dynamics either to a steady-state regime or to a periodic regime; the value of the Reynolds number is determined using an update law. Then, a static sliding mode controller and a dynamic sliding mode controller are designed for the system of seven ODEs representing the approximation of the dynamics of the 2D Kolmogorov flow to control its dynamics either to a steady-state regime or to a periodic regime. Numerical simulations are presented to show the effectiveness of the proposed three control schemes. The simulation results clearly show that the proposed controllers work well. (shrink)

This article provides a spatial analysis of the conceptual framework of fluid dynamics during the nineteenth century, focusing on the transition from the Euler equation to the Navier–Stokes equation. A dynamic version of Peter Gärdenfors's theory of conceptual spaces is applied which distinguishes changes of five types: addition and deletion of special laws; change of metric; change in importance; change in separability; addition and deletion of dimensions. The case instantiates all types but the deletion of dimensions. We also provide (...) a new view upon limiting case reduction at the conceptual level that clarifies the relation between the predecessor and successor conceptual framework. The nineteenth-century development of fluid dynamics is argued to be an instance of normal science development. (shrink)

Of the seven $1,000,000 Clay Millennium Prize Problems in mathematics, just one would immediately appeal to Leonard Euler. That is “Existence and Smoothness of the Navier-Stokes Equation” (Fefferman 2000). Euler gave the basic equation in the 1750s. The work to this day shows Euler’s intuitive, vividly physical sense of mathematics.

Physical vacuum is a special superfluid medium populated by enormous amount of virtual particle-antiparticle pairs. Its motion is described by the modified Navier–Stokes equation: the pressure gradient divided by the mass density is replaced by the gradient from the quantum potential; time-averaged the viscosity vanishes, but its variance is not zero. Vortex structures arising in this medium show infinitely long lifetime owing to zero average viscosity. The nonzero variance is conditioned by exchanging the vortex energy with zero-point vacuum fluctuations. (...) The vortex has a non-zero core where the orbital speed vanishes. The speed reaches a maximal value on the core wall and further it decreases monotonically. The vortex trembles around some average value and possesses by infinite life time. The vortex ball resulting from topological transformation of the vortex ring is considered as a model of a particle with spin. Anomalous magnetic moment of electron is computed. (shrink)

We present the unification of Riemann–Cartan–Weyl (RCW) space-time geometries and random generalized Brownian motions. These are metric compatible connections (albeit the metric can be trivially euclidean) which have a propagating trace-torsion 1-form, whose metric conjugate describes the average motion interaction term. Thus, the universality of torsion fields is proved through the universality of Brownian motions. We extend this approach to give a random symplectic theory on phase-space. We present as a case study of this approach, the invariant Navier–Stokes (...) class='Hi'>equations for viscous fluids, and the kinematic dynamo equation of magnetohydrodynamics. We give analytical random representations for these equations. We discuss briefly the relation between them and the Reynolds approach to turbulence. We discuss the role of the Cartan classical development method and the random extension of it as the method to generate these generalized Brownian motions, as well as the key to construct finite-dimensional almost everywhere smooth approximations of the random representations of these equations, the random symplectic theory, and the random Poincaré–Cartan invariants associated to it. We discuss the role of autoparallels of the RCW connections as providing polygonal smooth almost everywhere realizations of the random representations. (shrink)

Physical vacuum is a special superfluid medium. Its motion is described by the Navier–Stokes equation having two slightly modified terms that relate to internal forces. They are the pressure gradient and the dissipation force because of viscosity. The modifications are as follows: the pressure gradient contains an added term describing the pressure multiplied by the entropy gradient; time-averaged viscosity is zero, but its variance is not zero. Owing to these modifications, the Navier–Stokes equation can be reduced to the (...) Schrödinger equation describing behavior of a particle into the vacuum, which looks like a superfluid medium populated by enormous amount of virtual particle–antiparticle pairs. (shrink)

Structuralism in philosophy of mathematics has largely focused on arithmetic, algebra, and basic analysis. Some have doubted whether distinctively structural working methods have any impact in other fields such as differential equations. We show narrowly construed structuralism as offered by Benacerraf has no practical role in differential equations. But Dedekind’s approach to the continuum already did not fit that narrow sense, and little of mathematics today does. We draw on one calculus textbook, one celebrated analysis textbook, and a (...) monograph on the Navier–Stokes equation to show structural methods like Dedekind’s have long been central to differential equations, and have philosophically respectable ontology and epistemology. (shrink)

An analytical investigation into compressible gas flow with slight rarefactions through the insect trachea and tracheoles during the closed spiracle phase is undertaken, and a complete set of asymptotic analytical solutions is presented. We first obtain estimates of the Reynolds and Mach numbers at the channel terminal ends where the tracheoles directly deliver respiratory gases to the cells, by comparing the magnitude of the different forces in the compressible gas flow. The 2D Navier–Stokes equations with a slip boundary (...) condition are used to investigate compressibility and rarefied effects in the trachea and tracheoles. Expressions for the velocity components, pressure gradients and net flow inside the trachea are then presented. Numerical simulations of the tracheal compressible flow are performed to validate the analytical results from this study. This work extends previous work of Arkilic et al. :167–178, 1997) on compressible flows through a microchannel. Novel devices for microfluidic compressible flow transport may be invented from results obtained in this study. (shrink)

The following article treats the 'applicational turn' of modern fluid dynamics as it set in at the beginning of the 20th century with Ludwig Prandtl's concept of the boundary layer. It seeks to show that there is much more to applying a theory in a highly mathematical field like fluid dynamics than deriving a special case from a general explanatory theory under particular antecedent conditions. In Prandtl's case, the decisive move was to introduce a model that provided a physical/causal conception (...) of viscous flow at high Reynolds numbers. It facilitated an approximate solution to the Navier-Stokes equations, which in turn gave rise to many special applications. After a detailed account of Prandtl's achievement, the article discusses the role of the physical model and its experimental and mathematical significance. It is shown that the mathematical simplification provided by the physical model greatly expanded the explanatory capacity of the theory which the Navier-Stokes equations alone could not provide. (shrink)

This paper illustrates how an experimental discovery can prompt the search for a theoretical explanation and also how obtaining such an explanation can provide heuristic benefits for further experimental discoveries. The case considered begins with the discovery of Poiseuille’s law for steady fluid flow through pipes. The law was originally supported by careful experiments, and was only later explained through a derivation from the more basic Navier–Stokes equations. However, this derivation employed a controversial boundary condition and also relied (...) on a contentious approach to viscosity. By comparing two editions of Lamb’s famous Hydrodynamics textbook, I argue that explanatory considerations were central to Lamb’s claims about this sort of fluid flow. In addition, I argue that this treatment of Poiseuille’s law played a heuristic role in Reynolds’ treatment of turbulent flows, where Poiseuille’s law fails to apply. (shrink)

We describe here a series of experimental analogies between fluid mechanics and quantum mechanics recently discovered by a team of physicists. These analogies arise in droplet systems guided by a surface (or pilot) wave. We argue that these experimental facts put ancient theoretical work by Madelung on the analogy between fluid and quantum mechanics into new light. After re-deriving Madelung’s result starting from two basic fluid-mechanical equations (the Navier-Stokes equation and the continuity equation), we discuss the relation with the (...) de Broglie-Bohm theory. This allows to make a direct link with the droplet experiments. It is argued that the fluid-mechanical interpretation of quantum mechanics, if it can be extended to the general N-particle case, would have an advantage over the Bohm interpretation: it could rid Bohm’s theory of its strongly non-local character. (shrink)

In this paper, I would like to show that considering technological models as they arise in engineering disciplines can greatly enrich the philosophical perspective on models. In fluid mechanics, (at least) three types of models are distinguished: mathematical, computer and physical models. Very often, the choice of a particular mathematical, computer or physical model highly affects the type of solutions and the computational time needed for it. Technological models not only aim at a correct description of the physical phenomena, but (...) also for an efficient and accurate simulation. The problem arises how heterogeneous models of an engineering problem can be brought together and be compared to each other as regards their function and technological efficiency. There are two developments in the history of fluid mechanics that have greatly influenced the use of models in the field: The introduction of the concept of the boundary layer by Ludwig Prandtl in 1904 made it possible to apply ideal analytical solutions, which at the time were almost entirely based on Euler’s equations for inviscid fluids, to interesting real cases and to approximate the theoretical Navier-Stokes equations to practical engineering problems, i.e. to cases at high Reynolds numbers. This made it possible to link the empirical tradition of hydraulics with the theoretical tradition of analytical mechanics and therefore lead to a kind of equilibrium in the use of mathematical and physical models. In the 1970s the introduction of the computer has greatly pushed back the importance of both physical and mathematical (analytic) models alike without making them superfluous. There remain, however, three different ways to conceive of physical models in fluid mechanics, and thus of the experimental ingredient, depending on whether they are devised from an analytical, computational or measurement theoretical point of view. Yet even inside the tradition of computer simulation, different practices have formed according to the programming methods used. The choice of method either depends on considerations of efficiency in terms of costs and time, or on historically contingent factors, like availability of instruments and programming packages or the arbitrary choice of a forerunner. Seen from a technological point of view the factors that make models “autonomous agents” and thus (relatively) independent from theory depend on efficiency constraints. Models are means to solve problems in a certain practical perspective by the most efficient means available. To develop a model is a “fast and frugal way” to get to grips with a certain region of reality, whereas the theoretical approach stresses the importance of universal features. (shrink)

When we mathematically model natural phenomena, there is an assumption concerning how the mathematics relates to the actual phenomenon in question. This assumption is that mathematics represents the world by “mapping on” to it. I argue that this assumption of mapping, or correspondence between mathematics and natural phenomena, breaks down when we ignore the fine grain of our physical concepts. I show that this is a source of trouble for the mapping account of applied mathematics, using the case of Prandtl’s (...) Boundary Layer solution to the Navier-Stokes equations. (shrink)

In a new paper in recent issue of this journal (PSTJ), Prof. M. Pitkanen describes a solar system model inspired by spiral galaxies. While we appreciate his new approach, we find it lacks substantial discussion on the nature of vortices and chirality in galaxy. Therefore we submit a viewpoint that Gross-Pitaevskii model can be a more complete description of both solar system and also spiral galaxies, especially taking into account the nature of chirality and vortices in galaxies. In this article, (...) we also hope to bring out some correspondence among existing models, so we discuss shortly: the topological vortice approach, Burgers equation in the light of KAM theory, and the Cantorian Navier-Stokes approach. Of course, this short article is far from being complete. We hope further investigation can be done around this line of approach. Aim of this paper: With this article, we hope to begin a healthy dialogue with Prof. M. Pitkanen, especially on his solar system model, since we also believe that he also support “evidence-based physics.” Limitation: In this paper we only discuss Pitkanen’s solar system model, we don’t discuss his other papers in a recent issue of PSTJ. (shrink)

This paper, using the author's decomposition method and recent generalizations, presents algorithms for an analytic solution of the stochastic Navier-Stokes system without linearization, perturbation, discretization, or restrictive assumptions on the nature of stochasticity. The pressure, forces, velocities, and initial/boundary conditions can be stochastic processes and are not limited to white noise. Solutions obtained are physically realistic because of the avoidance of assumptions made purely for mathematical tractability by usual methods. Certain extensions and further generalizations of the decomposition method have provided (...) the basis for the solution. (shrink)

The phenomena, molecular path in a liquid or a gas, fluctuating price stoke, fission and fusion, quantum field theory, relativistic wave motion, etc., are modeled through the nonlinear time fractional clannish random Walker’s parabolic equation, nonlinear time fractional SharmaTassoOlver equation, and the nonlinear space-time fractional KleinGordon equation. The fractional derivative is described in the sense of conformable derivative. From there, the G ′ / G, 1 / G -expansion method is found to be ensuing, effective, and capable to provide functional (...) solutions to nonlinear models concerning physical and engineering problems. In this study, an extension of the G ′ / G, 1 / G -expansion method has been introduced. This enhancement establishes broad-ranging and adequate fresh solutions. In addition, some existing solutions attainable in the literature also confirm the validity of the suggested extension. We believe that the extension might be added to the literature as a reliable and efficient technique to examine a wide variety of nonlinear fractional systems with parameters including solitary and periodic wave solutions to nonlinear FDEs. (shrink)

This paper concerns the scale related decoupling of the physics of breaking drops and considers the phenomenon from the point of view of both hydrodynamics and molecular dynamics at the nanolevel. It takes the shape of droplets at breakup to be an example of a genuinely emergent phenomenon---one whose explanation depends essentially on the phenomenological (non-fundamental) theory of Navier-Stokes. Certain conclusions about the nature of "fundamental" theory are drawn.

Though some influentially critical objections have been raised during the ‘classical’ pre-computational simulation philosophy of science tradition, suggesting a more nuanced methodological category for experiments, it safe to say such critical objections have greatly proliferated in philosophical studies dedicated to the role played by computational simulations in science. For instance, Eric Winsberg suggests that computer simulations are methodologically unique in the development of a theory’s models suggesting new epistemic notions of application. This is also echoed in Jeffrey Ramsey’s notions of (...) “transformation reduction,”—i.e., a notion of reduction of a more highly constructive variety. Computer simulations create a broadly continuous arena spanned by normative and descriptive aspects of theory-articulation, as entailed by the notion of transformation reductions occupying a continuous region demarcated by Ernest Nagel’s logical-explanatory “domain-combining reduction” on the one hand, and Thomas Nickels’ heuristic “domain-preserving reduction,” on the other. I extend Winsberg’s and Ramsey’s points here, by arguing that in the field of computational fluid dynamics as well as in other branches of applied physics, the computer plays a constitutively experimental role—supplanting in many cases the more traditional experimental methods such as flow-visualization, etc. In this case, however CFD algorithms act as substitutes, not supplements when it comes to experimental practices. I bring up the constructive example involving the Clifford-Algebraic algorithms for modeling singular phenomena in CFD by Gerik Scheuermann and Steven Mann & Alyn Rockwood who demonstrate that their algorithms offer greater descriptive and explanatory scope than the standard Navier-Stokes approaches. The mathematical distinction between Navier-Stokes-based and Clifford-Algebraic based CFD has essentially to do with the regularization features exhibited to a far greater extent by the latter, than the former. Hence, CACFD indicate that the utilization of computational techniques can be based on principled reasons, as opposed to merely practical. CACFD hence exhibit a new generative role in the field of fluid mechanics, by offering categories of experimental evidence that are optimally descriptive and explanatory—i.e., pace Batterman can be both ontologically and epistemically fundamental. (shrink)

Kirchhoff’s 1882 theory of optical diffraction forms the centerpiece in the long-term development of wave optics, one that commenced in the 1820s when Fresnel produced an empirically successful theory based on a reinterpretation of Huygens’ principle, but without working from a wave equation. Then, in 1856, Stokes demonstrated that the principle was derivable from such an equation albeit without consideration of boundary conditions. Kirchhoff’s work a quarter century later marked a crucial, and widely influential, point for he produced Fresnel’s results (...) by means of Green’s theorem and function under specific boundary conditions. In the late 1880s, Poincaré uncovered an inconsistency between Kirchhoff’s conditions and his solution, one that seemed to imply that waves should not exist at all. Researchers nevertheless continued to use Kirchhoff’s theory—even though Rayleigh, and much later Sommerfeld, developed a different and mathematically consistent formulation that, however, did not match experimental data better than Kirchhoff’s theory. After all, Kirchhoff’s formula worked quite well in a specific approximation regime. Finally, in 1964, Marchand and Wolf employed the transformation of Kirchhoff’s surface integral that had been developed by Maggi and Rubinowicz for other purposes. The result yielded a consistent boundary condition that, while introducing a species of discontinuity, nevertheless rescued the essential structure of Kirchhoff’s original formulation from Poincaré’s paradox. (shrink)

The concept of similar systems arose in physics, and appears to have originated with Newton in the seventeenth century. This chapter provides a critical history of the concept of physically similar systems, the twentieth century concept into which it developed. The concept was used in the nineteenth century in various fields of engineering, theoretical physics and theoretical and experimental hydrodynamics. In 1914, it was articulated in terms of ideas developed in the eighteenth century and used in nineteenth century mathematics and (...) mechanics: equations, functions and dimensional analysis. The terminology physically similar systems was proposed for this new characterization of similar systems by the physicist Edgar Buckingham. Related work by Vaschy, Bertrand, and Riabouchinsky had appeared by then. The concept is very powerful in studying physical phenomena both theoretically and experimentally. As it is not currently part of the core curricula of STEM disciplines or philosophy of science, it is not as well known as it ought to be. (shrink)

Fictions evoke imagery, and their value consists partly in that achievement. This paper offers analysis of this neglected topic. Section 2 identifies relevant philosophical background. Section 3 offers a working definition of imagery. Section 4 identifies empirical work on visual imagery. Sections 5 and 6 criticize imagery essentialism, through the lens of genuine fictional narratives. This outcome, though, is not wholly critical. The expressed spirit of imagery essentialism is to encourage philosophers to ‘put the image back into the imagination’. The (...) weakened conclusion is that while an image is not essential to imagining, it should be returned to our theories of imagination. (shrink)

This volume is about the many ways we perceive. Contributors explore the nature of the individual senses, how and what they tell us about the world, and how they interrelate. They consider how the senses extract perceptual content from receptoral information. They consider what kinds of objects we perceive and whether multiple senses ever perceive a single event. They consider how many senses we have, what makes one sense distinct from another, and whether and why distinguishing senses may be useful. (...) They consider the extent to which the senses act in concert, rather than as discrete modalities, and whether this influence is epistemically pernicious, neutral, or beneficial. They explore both the familiar five sense modalities and other candidate sense modalities, including a sense for flavour, inner senses (e.g., a sense for pain), and various senses that may result from using sensory substitution devices. Contributors often represent competing views, and the methods they deploy sometimes differ from one essay to the next—with some drawing upon the sciences and engineering and others relying upon conceptual analysis. All contributors agree, nonetheless, that traditional theorizing about the senses is hampered by a neglect of the senses other than vision, and by the misconception that vision is a passive receptacle for an image thrown by a lens. And many contributors believe that it is unduly restrictive to think of perception as a collation of contents provided by individual sense modalities; they think that to understand perception properly, we need to build into our accounts the idea that the senses work together. The ambition of the volume is to begin to develop better paradigms for understanding the senses, and thereby to move toward a better understanding of perception. (shrink)

This chapter concerns the cognitive penetration of the visual experience of colour. Alleged cases of cognitively penetrated colour perception are of special import since they concern an uncontroversial type of visual experience. All theorists of perception agree that colour properties figure properly in the content or presentation of visual perception, even though not all parties agree that pine trees or causes or other "high-level" properties can figure properly in visual content or presentation. So an alleged case of this kind does (...) not require controversial commitments regarding the admissible contents of visual perception. The chapter clarifies this theoretical importance , identifying alleged empirical cases of cognitively penetrated colour perception, and then analyzing the implications of such cases for an epistemology of perception. (shrink)

Computer programs are generating artworks of astonishing novelty and aesthetic value. By the standard definition of creativity, these programs would count as being creative. But if you still hesitate to call a program creative, that's for good reason, we argue. It's because real creativity requires AGENTS who are responsible for what they make, and it's not at all clear that these programs are agents. -/- (The title was imposed by the editor. It was supposed to be called, "ARE COMPUTERS CREATIVE?").

G. G. Stokes and Lord Kelvin helped bring about conceptual and institutional changes that transformed the science of physics. Indeed, they and their Victorian colleagues constituted one of the most significant groups of scientists in the whole history of science. This collection of letters was first published in 1990, and provides, therefore, invaluable insight and information for a period of major historical importance. Stokes and Kelvin corresponded for over fifty years as professors in Cambridge and Glasgow, respectively, thus amassing what (...) is easily the largest extant correspondence between two Victorian physicists. The letters range widely over the people, ideas, and institutions of the age. They illuminate the histories of Cambridge and Glasgow Universities and the Royal Society of London, for example, as well as developments in electromagnetism, hydrodynamics, elasticity, optics, and X-rays. The editor's introduction describes the context of the pair's careers, while guiding the reader into their correspondence. (shrink)

One distinct interest in self-knowledge concerns whether one can know about one’s own mental states and processes, how much, and by what methods. One broad distinction is between accounts that centrally claim that we look inward for self-knowledge (introspective methods) and those that claim that we look outward for self-knowledge (transparency methods). It is here argued that neither method is sufficient, and that we see this as soon as we move beyond questions about knowledge of one’s beliefs, focusing instead on (...) how one distinguishes, for oneself, one’s veridical visual memories from mere (non-veridical) visual images. Given robust psychological and phenomenal similarities between episodic memories and mere imagery, the following is a genuine question that one might pose to oneself: “Do I actually remember that happening, or am I just imagining it?” After critical analysis of the transparency method (advocated by Byrne 2010, following Evans 1982) to this latter epistemological question, a brief sketch is offered of a more holistic and inferential method for acquisition of broader self-knowledge (broadly following the interpretive-sensory access account of Carruthers 2011). In a slogan, knowing more of the mind requires using more of the mind. (shrink)

This article explores the management and organisational context for capturing and retaining knowledge transferred through the design process. It is widely acknowledged that our ability to successfully organise and transfer design knowledge is dependant upon the context in which it is situated. However the knowledge generated through the creative process is often viewed from the perspective of the artefact rather the process itself. An understanding of the socially complex knowledge-based resources operating within design groups could enhance competitiveness and organisational development. (...) Yet, a systematic literature review of leading design and educational management journals found limited empirical evidence that shed light on the influence of knowledge management on design group performance. The article addresses this gap in the literature. Based on two in-depth case studies with interior design companies implementing new digital asset management systems over a 2-year period, the paper explores the findings in relation to design practice and policy, alongside implications for the contribution of the creative industries to the knowledge economy. (shrink)

Søren Kierkegaard remains one of the most enigmatic, captivating, and elusive thinkers in the history of European thought. The Kierkegaardian Mindprovides a comprehensive survey of his work, not only placing it in its historical context but also exploring its contemporary significance. Comprising thirty-eight chapters by a team of international contributors, this handbook is divided into eight parts covering the following themes: Methodology Ethics Aesthetics Philosophy of Religion and Theology Philosophy of Mind Anthropology Epistemology Politics. Essential reading for students and researchers (...) in philosophy, Kierkegaard's work is central to the study of political philosophy, literature, existentialist thought, and theology. l to the study of political philosophy, literature, existentialist thought, and theology. (shrink)

[File is the introduction to the monograph] -/- Abstract to monograph -/- How and whether thinking affects perceiving is a deeply important question. Of course it is of scientific interest: to understand the human mind is to understand how we best distinguish its processes, how those processes interact, and what this implies for how and what we may know about the world. And so in the philosopher’s terms, this book is one on both mental architecture and the epistemology of perception. (...) But there is a more human interest. How we make contact with the world, and with one another, is of the most basic of importance. We can make both sensory contact and cognitive contact with the world. The first is traditionally supposed to be determined by the biological nature of our sensory systems, while the second is at least partly determined by us, what we have learned, our experiences, and so on. The most basic claim of the book is that this is mistaken and importantly so. Our sensory contact with the world can also change and in a way that is importantly affected by the cognitive contact that we have, or have had, with the world. Thinking does not just affect perceiving, thinking improves perceiving. If this is true, it changes not only how we should theorize the mind, it changes how we should understand, as individuals, our place in and contact with the world. (shrink)

Stokes’ earlier chapter in this volume argued that, given the role ethical considerations play in our judgments of what to believe, ethical factors will put limits on the extent to which we can embrace particularism about conspiracy theories. However, that will only be the case if there are ethical problems with conspiracy theory as a practice (rather than simply as a formal class of explanation). Utilising the Lakatosian framework for analysing conspiracy theories developed by Steve Clarke, this paper identifies a (...) morally costly feature of conspiracy theorizing: its tendency to generate and expand new accusations purely to defend the core theory from countervailing evidence. Such 'auxiliary accusations' violate important norms around justified accusation, which supplies a defeasible, but important, reason to be reluctant to take part in the practice of conspiracy theorizing. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Response to Estelle R. Jorgensen, “Four Philosophical Models of the Relationship Between Theory and Practice”W. Ann StokesEstelle Jorgensen has written a most interesting paper contrasting four different concepts of the relationship between theory and practice, and pointing out the advantages and disadvantages of each. Each approach introduces insights that the others have missed, but is not sufficient in itself to explain all the relationships between theory and practice. In (...) response to the concept of "dichotomy," I am also sympathetic to the attempt to distinguish practice and theory because it identifies two important constituents of experience, and it provides a fruitful way of investigating the relationship between the two concepts. However, I believe that a concept of dichotomy may put the two categoriees in too distant a relationship with each other. This distance may prevent us from recognizing the "interconnections and cross-fertilizations" that are often possible between them.The idea of "polarity" opens up the possibility of focusing on the ground [End Page 102] between the two concepts. It also provides a framework for allowing "practice to bubble up into theory," and "theory to bubble up into practice." Given that a theory may bring about a range of different practices and that practices may be based upon a range of differing theories, one needs to be able to move easily between the two worlds. Imagination, intuition, and rational thinking all contribute to our understanding of the relationship between the two concepts. In this situation of polarity one should not expect to find "a theory perfectly translated into a particular practice, or a practice drawing entirely and fully on one particular theory."I am also sympathetic to the view that "theory without practice is mentalism," and that "practice without theory is activism or instrumentalism bare of guiding principles," but like Jorgensen I find the concept of fusion the least helpful of the four concepts. Given the fact that very rarely (if ever) is theory perfectly exemplified in practice, or practice based solely upon one specific theory, the concept of fusion in many instances is too absolute. I am open to the suggestion that moral principles as well as aesthetic ones should guide the practice of music education despite the difficulties that a multiplicity of perspectives opens up. I also agree that democratic ideals can offer us one way of guiding the decisions made in the classroom and can offer a rallying point for persons coming from different ethnic, religious, political, and cultural backgrounds.The dialectical approach opens up a way to negotiate among differences of opinion and beliefs that influence practice. It assumes that there is no one perfect perspective on the relationship between theory and practice. The dialectical approach provides (1)a framework to investigate the theories and practices of which practitioners are aware, (2)opportunities to examine how practitioners adjudicate them, and (3)explanations of how and why they decide to act "in their particular lived situations." In contrast to the ontological approach, I like Jorgensen's epistemological approach to the investigation of theory and practice. It offers another perspective in addition to the influence that ontological theories can have in guiding music education practice.My view of the ideal relationship between theory and practice is one that acknowledges the differences between the two concepts, but allows for a variety of relationships between the two. It is one that recognizes that theory should influence practice and that practice should influence theory in an ongoing and continuous reciprocal exchange. It entails being sensitive to a variety of theories and particular practices, and being skilled at being able to pick which particular theory or theories best explains the practice observed.In addition to the concepts of dichotomy, polarity, fusion, and dialectic, another possible concept of the relationship between theory and practice might be based upon Michael Lewis, Margaret Sullivan, and Linda Michalson's view [End Page 103] of the "cognitive-emotional fugue."1 This perspective has the advantage of being very flexible. The authors describe emotion and cognition as being neither separate nor independent processes. "Rather both are elements of a continuous, inseparable stream of behavior like the parts of a fugue in which the theme is often lost... (shrink)

Perception is typically distinguished from cognition. For example, seeing is importantly different from believing. And while what one sees clearly influences what one thinks, it is debatable whether what one believes and otherwise thinks can influence, in some direct and non-trivial way, what one sees. The latter possible relation is the cognitive penetration of perception. Cognitive penetration, if it occurs, has implications for philosophy of science, epistemology, philosophy of mind, and cognitive science. This paper offers an analysis of the phenomenon, (...) its theoretical consequences, and a variety of experimental results and possible interpretations of them. The paper concludes by proposing some constraints for analyses and definitions of cognitive penetrability. (shrink)

A range of emergent studies have explored the idea of a renewed human-centered society, termed “Society 5.0,” and the role therein, of servant leadership. In this regard, in East Asian cultural contexts, existing scholarship does not yet provide sufficient theoretical and practical guidance for intercultural contexts, such as when a predominantly individualistic UK business culture interacts with generally collectivist Japanese culture. This is an important gap because if Society 5.0 is to be realized then a more in-depth intercultural contextual appreciation (...) and understanding are required. The study examines the UK/Japan setting and adopts a social constructivist epistemology and case study approach to illustrate dimensions of servant leadership (DSLs) manifesting in the lived experience of a UK business leader in Japan. Connections to business leader training are drawn and the importance of intercultural dyad specificity is highlighted. The study is also important because recent widespread exposure of various global corporate scandals creates a view that many business leaders care only for themselves or organizational profits, especially in individualistic-orientated societies. This original case study research herein commences the process of developing detailed and focal studies on underpinning drivers and raises hope that ethical behavior, as comprised in the DSLs, can potentially manifest in an individualistic UK/collectivist Japan intercultural dyad context. (shrink)

The papers contained in this special issue are evidence that the philosophy of conspiracy theory is undergoing a ‘normative turn’, with earlier concerns about the epistemological soundness of conspiracy theories now being supplemented by a shift to concerns about discursive and epistemic justice. This is a welcome development. Nonetheless, these normative concerns need to be seen within the context of an ongoing and largely undeclared disagreement between generalists and particularists over just how conspired the world really is.

This paper considers an orectic penetration hypothesis which says that desires and desire-like states may influence perceptual experience in a non-externally mediated way. This hypothesis is clarified with a definition, which serves further to distinguish the interesting target phenomenon from trivial and non-genuine instances of desire-influenced perception. Orectic penetration is an interesting possible case of the cognitive penetrability of perceptual experience. The orectic penetration hypothesis is thus incompatible with the more common thesis that perception is cognitively impenetrable. It is of (...) importance to issues in the philosophy of mind and cognitive science, epistemology, and general philosophy of science. The plausibility of orectic perception can be motivated by some classic experimental studies, and some new experimental research inspired by those same studies. The general suggestion is that orectic penetration thus defined, and evidenced by the relevant studies, cannot be deflected by the standard strategies of the cognitive impenetrability theorist. (shrink)

Søren Kierkegaard remains one of the most enigmatic, captivating, and elusive thinkers in the history of European thought. The Kierkegaardian Mindprovides a comprehensive survey of his work, not only placing it in its historical context but also exploring its contemporary significance. Comprising thirty-eight chapters by a team of international contributors, this handbook is divided into eight parts covering the following themes: Methodology Ethics Aesthetics Philosophy of Religion and Theology Philosophy of Mind Anthropology Epistemology Politics. Essential reading for students and researchers (...) in philosophy, Kierkegaard's work is central to the study of political philosophy, literature, existentialist thought, and theology. l to the study of political philosophy, literature, existentialist thought, and theology. (shrink)

This article provides a cross-case analysis of four art and design research centres operating within UK universities. Findings from autobiographical and semi-structured interviews with researchers, research managers, and research leaders indicate that they encounter similar issues in trying to establish internal legitimacy within the university alongside the need to gain external support and recognition. In dealing with these challenges, art and design research centres tend to pass through four broadly identifiable phases: (i) Origination (utilising credentials and leadership capacity), (ii) Establishment (...) (securing resources and embedding dedicated systems and processes), (iii) Development (furthering profile, diversifying, and retaining autonomy), and (iv) Sustainability (enhancing research culture, networks, and influence). Many interesting parallels are evident with the way small businesses strive to establish themselves within competitive market environments. Lessons for research managers and directors are explored to consider such similarities in key areas of responsibility that cover leadership, managing people and processes, developing organisational capacity, and building external networks. The research suggests research centre directors must demonstrate many intrapreneurial qualities to overcome obstacles in the development of a successful research team and that university departments can make substantial organisational interventions to help them succeed. (shrink)

Social media is full of dead people. Untold millions of dead users haunt the online world where we increasingly live our lives. What do we do with all these digital souls? Can we simply delete them, or do they have a right to persist? Philosophers have been almost entirely silent on the topic, despite their perennial focus on death as a unique dimension of human existence. Until now. -/- Drawing on ongoing philosophical debates, Digital Souls claims that the digital dead (...) are objects that should be treated with loving regard and that we have a moral duty towards. Modern technology helps them to persist in various ways, while also making them vulnerable to new forms of exploitation and abuse. This provocative book explores a range of questions about the nature of death, identity, grief, the moral status of digital remains and the threat posed by AI-driven avatars of dead people. In the digital era, it seems we must all re-learn how to live with the dead. (shrink)

What is it to see the world, other people, and imagined situations as making personal moral demands of us? What is it to experience stories as speaking to us personally and directly? Kierkegaard's Mirrors explores Kierkegaard's answers to these questions, with a new phenomenological interpretation of Kierkegaardian 'interest'.

This paper offers a critical survey and analysis of empirical studies on creativity, with emphasis on how imagination plays a role in the creative process. It takes as a foil the romantic view that, given features like novelty, incubation, and insight, we should be skeptical about the prospects for naturalistic explanation of creativity. It rebuts this skepticism by first distinguishing stages or operations in the creative process. It then works through various behavioral and neural studies, and corresponding philosophical theorizing, that (...) concern the preparation, generation, insight, and evaluation stages of creative processes. The result is not a complete explanation of creativity, but it identifies an explanatory path towards such an explanation, including the features of creativity that motivate that skepticism. (shrink)

This entry provides a substantive overview of research and debates concerning creativity in philosophy and related fields. Topics covered include definitions of creativity, whether creativity can be learned, whether it can be explained, attempts to explain creativity in cognitive science, and whether computer programs or AI systems can be creative.