Robert Batterman examines a form of scientific reasoning called asymptotic reasoning, arguing that it has important consequences for our understanding of the scientific process as a whole. He maintains that asymptotic reasoning is essential for explaining what physicists call universal behavior. With clarity and rigor, he simplifies complex questions about universal behavior, demonstrating a profound understanding of the underlying structures that ground them. This book introduces a valuable new method that is certain to fill explanatory gaps across disciplines.

This article discusses minimal model explanations, which we argue are distinct from various causal, mechanical, difference-making, and so on, strategies prominent in the philosophical literature. We contend that what accounts for the explanatory power of these models is not that they have certain features in common with real systems. Rather, the models are explanatory because of a story about why a class of systems will all display the same large-scale behavior because the details that distinguish them are irrelevant. This story (...) explains patterns across extremely diverse systems and shows how minimal models can be used to understand real systems. (shrink)

This paper concerns what Jerry Fodor calls a 'metaphysical mystery': How can there by macroregularities that are realized by wildly heterogeneous lower level mechanisms? But the answer to this question is not as mysterious as many, including Jaegwon Kim, Ned Block, and Jerry Fodor might think. The multiple realizability of the properties of the special sciences such as psychology is best understood as a kind of universality, where 'universality' is used in the technical sense one finds in the physics literature. (...) It is argued that the same explanatory strategy used by physicists to provide understanding of universal behavior in physics can be used to explain how special science properties can be heterogeneously multiply realized. (shrink)

This paper aims to draw attention to an explanatory problem posed by the existence of multiply realized or universal behavior exhibited by certain physical systems. The problem is to explain how it is possible that systems radically distinct at lower-scales can nevertheless exhibit identical or nearly identical behavior at upper-scales. Theoretically this is reflected by the fact that continuum theories such as fluid mechanics are spectacularly successful at predicting, describing, and explaining fluid behaviors despite the fact that they do not (...) recognize the discrete nature of fluids. A standard attempt to reduce one theory to another, is shown to fail to answer the appropriate question about autonomy. (shrink)

This paper looks at emergence in physical theories and argues that an appropriate way to understand socalled “emergent protectorates” is via the explanatory apparatus of the renormalization group. It is argued that mathematical singularities play a crucial role in our understanding of at least some well-defined emergent features of the world.

Autonomy -- Hydrodynamics -- Brownian motion -- From Brownian motion to bending beams -- An engineering approach -- The right variables and natural kinds.

In its broadest sense, "universality" is a technical term for something quite ordinary. It refers to the existence of patterns of behavior by physical systems that recur and repeat despite the fact that in some sense the situations in which these patterns recur and repeat are different. Rainbows, for example, always exhibit the same pattern of spacings and intensities of their bows despite the fact that the rain showers are different on each occasion. They are different because the shapes of (...) the drops, and their sizes can vary quite widely due to differences in temperature, wind direction, etc. There are different questions one might ask about such patterns. For instance, one might ask why the particular rainbow... (shrink)

This paper examines a fundamental problem in applied mathematics. How can one model the behavior of materials that display radically different, dominant behaviors at different length scales. Although we have good models for material behaviors at small and large scales, it is often hard to relate these scale-based models to one another. Macroscale models represent the integrated effects of very subtle factors that are practically invisible at the smallest, atomic, scales. For this reason it has been notoriously difficult to model (...) realistic materials with a simple bottom-up-from-the-atoms strategy. The widespread failure of that strategy forced physicists interested in overall macro-behavior of materials toward completely top-down modeling strategies familiar from traditional continuum mechanics. The problem of the ``tyranny of scales'' asks whether we can exploit our rather rich knowledge of intermediate micro- scale behaviors in a manner that would allow us to bridge between these two dominant methodologies. Macroscopic scale behaviors often fall into large common classes of behaviors such as the class of isotropic elastic solids, characterized by two phenomenological parameters---so-called elastic coefficients. Can we employ knowledge of lower scale behaviors to understand this universality---to determine the coefficients and to group the systems into classes exhibiting similar behavior? (shrink)

This paper examines contemporary attempts to explicate the explanatory role of mathematics in the physical sciences. Most such approaches involve developing so-called mapping accounts of the relationships between the physical world and mathematical structures. The paper argues that the use of idealizations in physical theorizing poses serious difficulties for such mapping accounts. A new approach to the applicability of mathematics is proposed.

This paper examines the role of mathematical idealization in describing and explaining various features of the world. It examines two cases: first, briefly, the modeling of shock formation using the idealization of the continuum. Second, and in more detail, the breaking of droplets from the points of view of both analytic fluid mechanics and molecular dynamical simulations at the nano-level. It argues that the continuum idealizations are explanatorily ineliminable and that a full understanding of certain physical phenomena cannot be obtained (...) through completely detailed, non-idealized representations. (shrink)

Discussions of the foundations of Classical Equilibrium Statistical Mechanics (SM) typically focus on the problem of justifying the use of a certain probability measure (the microcanonical measure) to compute average values of certain functions. One would like to be able to explain why the equilibrium behavior of a wide variety of distinct systems (different sorts of molecules interacting with different potentials) can be described by the same averaging procedure. A standard approach is to appeal to ergodic theory to justify this (...) choice of measure. A different approach, eschewing ergodicity, was initiated by A. I. Khinchin. Both explanatory programs have been subjected to severe criticisms. This paper argues that the Khinchin type program deserves further attention in light of relatively recent results in understanding the physics of universal behavior. (shrink)

This paper considers definitions of classical dynamical chaos that focus primarily on notions of predictability and computability, sometimes called algorithmic complexity definitions of chaos. I argue that accounts of this type are seriously flawed. They focus on a likely consequence of chaos, namely, randomness in behavior which gets characterized in terms of the unpredictability or uncomputability of final given initial states. In doing so, however, they can overlook the definitive feature of dynamical chaos--the fact that the underlying motion generating the (...) behavior exhibits extreme trajectory instability. I formulate a simple criterion of adequacy for any definition of chaos and show how such accounts fail to satisfy it. (shrink)

This Handbook provides an overview of many of the topics that currently engage philosophers of physics. It surveys new issues and the problems that have become a focus of attention in recent years. It also provides up-to-date discussions of the still very important problems that dominated the field in the past.

Name der Zeitschrift: Neue Zeitschrift für Systematische Theologie und Religionsphilosophie Jahrgang: 57 Heft: 1 Seiten: 138-154.

A traditional view of mathematical modeling holds, roughly, that the more details of the phenomenon being modeled that are represented in the model, the better the model is. This paper argues that often times this ‘details is better’ approach is misguided. One ought, in certain circumstances, to search for an exactly solvable minimal model—one which is, essentially, a caricature of the physics of the phenomenon in question.

This research study sought to identify whether there is a relationship between ethical perceptions and culture. An examination of the cultural variables suggests that there is a relationship between two of Hofstede's cultural dimensions (i.e., Uncertainty Avoidance and Individualism) and ethical perceptions. This finding supports the hypothetical linkage between the cultural environment and the perceived ethical problem variables posited in Hunt and Vitell's General Theory of Marketing Ethics (1986).

If we are flexible, hybrid and unfinished creatures that tend to incorporate or at least employ technological artefacts in our cognitive lives, then the sort of technological regime we live under should shape the kinds of minds we possess and the sorts of beings we are. E-Memory consists in digital systems and services we use to record, store and access digital memory traces to augment, re-use or replace organismic systems of memory. I consider the various advantages of extended and embedded (...) approaches to cognition in making sense of E-Memory and some of the problems that debate can engender. I also explore how the different approaches imply different answers to questions such as: does our use of internet technology imply the diminishment of ourselves and our cognitive abilities? Whether or not our technologies can become actual parts of our minds, they may still influence our cognitive profile. I suggest E-Memory systems have four factors: totality, practical cognitive incorporability, autonomy and entanglement which conjointly have a novel incorporation profile and hence afford some novel cognitive possibilities. I find that thanks to the properties of totality and incorporability we can expect an increasing reliance on E-Memory. Yet the potentially highly entangled and autonomous nature of these technologie pose questions about whether they should really be counted as proper parts of our minds. (shrink)

While 4E cognitive science is fundamentally committed to recognising the importance of the environment in making sense of cognition, its interest in the role of artefacts seems to be one of its least developed dimensions. Yet the role of artefacts in human cognition and agency is central to the sorts of beings we are. Internet technology is influencing and being incorporated into a wide variety of our cognitive processes. Yet the dominant way of viewing these changes sees technology as an (...) outside force “impacting” on our minds. Within this context, Material Engagement Theory seems well poised to help make sense of our cognitive involvement with the Internet as MET is precisely concerned with grasping the role of material culture in human cognition. This paper explores some of the resources MET provides to think through the effects the internet is having on human agency. This paper uses MET as a starting point for examining the way Internet technology can be involved with human agency, both to the provide a much needed and more adequate theorization of these phenomena, but also to illustrate ways in which the consideration of artefacts can be given a more central and adequate place within the 4E cognitive sciences. (shrink)

This paper considers the relationship between continuum hydrodynamics and discrete molecular dynamics in the context of explaining the behavior of breaking droplets. It is argued that the idealization of a fluid as a continuum is actually essential for a full explanation of the drop breaking phenomenon and that, therefore, the less "fundamental," emergent hydrodynamical theory plays an ineliminable role in our understanding.

This paper addresses issues surrounding the concept of geometric phase or "anholonomy". Certain physical phenomena apparently require for their explanation and understanding, reference to toplogocial/geometric features of some abstract space of parameters. These issues are related to the question of how gauge structures are to be interpreted and whether or not the debate over their "reality" is really going to be fruitful.

In a recent book on applied mathematics A. C. Fowler offers the following description of what is involved in mathematical modeling.

This paper addresses a relatively common scientific (as opposed to philosophical) conception of intertheoretic reduction between physical theories. This is the sense of reduction in which one (typically newer and more refined) theory is said to reduce to another (typically older and coarser) theory in the limit as some small parameter tends to zero. Three examples of such reductions are discussed: First, the reduction of Special Relativity (SR) to Newtonian Mechanics (NM) as (v/c)20; second, the reduction of wave optics to (...) geometrical optics as 0; and third, the reduction of Quantum Mechanics (QM) to Classical Mechanics (CM) as0. I argue for the following two claims. First, the case of SR reducing to NM is an instance of a genuine reductive relationship while the latter two cases are not. The reason for this concerns the nature of the limiting relationships between the theory pairs. In the SR/NM case, it is possible to consider SR as a regular perturbation of NM; whereas in the cases of wave and geometrical optics and QM/CM, the perturbation problem is singular. The second claim I wish to support is that as a result of the singular nature of the limits between these theory pairs, it is reasonable to maintain that third theories exist describing the asymptotic limiting domains. In the optics case, such a theory has been called catastrophe optics. In the QM/CM case, it is semiclassical mechanics. Aspects of both theories are discussed in some detail. (shrink)

Mesoscale modeling is often considered merely as a practical strategy used when information on lower-scale details is lacking, or when there is a need to make models cognitively or computationally tractable. Without dismissing the importance of practical constraints for modeling choices, we argue that mesoscale models should not just be considered as abbreviations or placeholders for more “complete” models. Because many systems exhibit different behaviors at various spatial and temporal scales, bottom-up approaches are almost always doomed to fail. Mesoscale models (...) capture aspects of multi-scale systems that cannot be parameterized by simple averaging of lower-scale details. To understand the behavior of multi-scale systems, it is essential to identify mesoscale parameters that “code for” lower-scale details in a way that relate phenomena intermediate between microscopic and macroscopic features. We illustrate this point using examples of modeling of multi-scale systems in materials science and biology, where identification of material parameters such as stiffness or strain is a central step. The examples illustrate important aspects of a so-called “middle-out” modeling strategy. Rather than attempting to model the system bottom-up, one starts at intermediate scales where systems exhibit behaviors distinct from those at the atomic and continuum scales. One then seeks to upscale and downscale to gain a more complete understanding of the multi-scale system. The cases highlight how parameterization of lower-scale details not only enables tractable modeling but is also central to understanding functional and organizational features of multi-scale systems. (shrink)

I respond to Belot's argument and defend the view that sometimes `fundamental theories' are explanatorily inadequate and need to be supplemented with certain aspects of less fundamental `theories emeritus'.

This paper posits that organizational variables are the factors that lead to the moral decline of companies like Enron and Worldcom. The individuals involved created environments within the organizations that precipitated a spiral of unethical decision-making. It is proposed that at the executive level, it is the organizational factors associated with power and decision-making that have the critical influence on moral and ethical behavior. The study has used variables that were deemed to be surrogate measures of the ethical violations (OSHA (...) and EPA violations), the risky shift phenomenon (executive team size), banality of wrong-doing (reputation score for firms) and escalating commitment (tenure with the firm/change in revenue for declining firms). The research found that there were small correlations between ethical violations and the three organizational variables. (shrink)

But do animals know that other creatures have minds? And how would we know if they do? In "Mindreading Animals," Robert Lurz offers a fresh approach to the hotly debated question of mental-state attribution in nonhuman animals.

I discuss recent work in ergodic theory and statistical mechanics, regarding the compatibility and origin of random and chaotic behavior in deterministic dynamical systems. A detailed critique of some quite radical proposals of the Prigogine school is given. I argue that their conclusion regarding the conceptual bankruptcy of the classical conceptions of an exact microstate and unique phase space trajectory is not completely justified. The analogy they want to draw with quantum mechanics is not sufficiently close to support their most (...) radical conclusion. (shrink)

It has been widely argued that digital technologies are transforming the nature of reading, and with it, our brains and a wide range of our cognitive capabilities. In this article, we begin by discussing the new analytical category of deep-reading and whether it is really on the decline. We analyse deep reading and its grounding in brain reorganization, based upon Michael Anderson’s Massive Redeployment hypothesis and Dehaene’s Neuronal Recycling which both help us to theorize how the capacities of brains are (...) transformed by acquisition of new skills. We examine some of the difficulties in comparing reading using technologies such as the web-browser, the tablet and E-Reader, with reading using the pre-existing print culture. While learning to read undoubtedly changes the brain, we examine what evidence there is for this being tightly tied to particular material substrates and find this lacking. Instead we attempt to situate cognitive changes around the new reading within the context of the specific new cognitive ecologies incorporating both screen and page. This involves a reconsideration of the role of material culture in the cognitive abilities. (shrink)

This article attempts to address the problem of the applicability of mathematics in physics by considering the (narrower) question of what make the so-called special functions of mathematical physics special. It surveys a number of answers to this question and argues that neither simple pragmatic answers, nor purely mathematical classificatory schemes are sufficient. What is required is some connection between the world and the way investigators are forced to represent the world.

This volume is a collection of fourteen essays by leading philosophers on issues concerning the nature, existence, and our knowledge of animal minds. The nature of animal minds has been a topic of interest to philosophers since the origins of philosophy, and recent years have seen significant philosophical engagement with the subject. However, there is no volume that represents the current state of play in this important and growing field. The purpose of this volume is to highlight the state of (...) the debate. The issues which are covered include whether and to what degree animals think in a language or in iconic structures, possess concepts, are conscious, self-aware, metacognize, attribute states of mind to others, and have emotions, as well as issues pertaining to our knowledge of and the scientific standards for attributing mental states to animals. (shrink)

Our aim is to discover whether the notion of algorithmic orbit-complexity can serve to define “chaos” in a dynamical system. We begin with a mostly expository discussion of algorithmic complexity and certain results of Brudno, Pesin, and Ruelle (BRP theorems) which relate the degree of exponential instability of a dynamical system to the average algorithmic complexity of its orbits. When one speaks of predicting the behavior of a dynamical system, one usually has in mind one or more variables in the (...) phase space that are of particular interest. To say that the system is unpredictable is, roughly, to say that one cannot feasibly determine future values of these variables from an approximation of the initial conditions of the system. We introduce the notions of restrictedexponential instability and conditionalorbit-complexity, and announce a new and rather general result, similar in spirit to the BRP theorems, establishing average conditional orbit-complexity as a lower bound for the degree of restricted exponential instability in a dynamical system. The BRP theorems require the phase space to be compact and metrizable. We construct a noncompact kicked rotor dynamical system of physical interest, and show that the relationship between orbit-complexity and exponential instability fails to hold for this system. We conclude that orbit-complexity cannot serve as a general definition of “chaos.”. (shrink)

This paper discusses a conception of physics as a collection of theories that, from a logical point of view, is inconsistent. It is argued that this logical conception of the relations between physical theories is too crude. Mathematical subtleties allow for a much more nuanced and sophisticated understanding of the relations between different physical theories.

This paper seeks to identify, clarify, and perhaps rehabilitate the virtual reality metaphor as applied to the goal of understanding consciousness. Some proponents of the metaphor apply it in a way that implies a representational view of experience of a particular, extreme form that is indirect, internal and inactive (what we call “presentational virtualism”). In opposition to this is an application of the metaphor that eschews representation, instead preferring to view experience as direct, external and enactive (“enactive virtualism”). This paper (...) seeks to examine some of the strengths and weaknesses of these virtuality-based positions in order to assist the development of a related, but independent view of experience: virtualist representationalism. Like presentational virtualism, this third view is representational, but like enactive virtualism, it places action centre-stage, and does not require, in accounting for the richness of visual experience, global representational “snapshots” corresponding to the entire visual field to be tokened at any one time. (shrink)

This paper addresses the problem of the perceived irrelevance of philosophy to undergraduate students and advances a pedagogical strategy for making philosophy relevant. Teaching philosophy as the pursuit of life as meaningful, that is, as a life skill, frames philosophy as a relevant study of significant benefit to them. The overall goal of a course which approaches philosophy this way is to develop a “creative aptitude” in students. Thus, students do not learn philosophical lessons by wrote, but rather, like apprentices, (...) learn to personally incorporate the critical tools of philosophy and treat philosophy as a “life craft.” The author details the pedagogical techniques that make such a course possible (techniques for motivating students to care and learn about philosophy) and concludes this paper by briefly detailing some student feedback on a course of this nature. (shrink)