Language & Logic -- Glossary -- Aristotle's syllogisms -- Russell's paradox & Frege's logicism -- profile: Aristotle -- Russell's theory of description -- Frege's puzzle -- Gödel's theorem -- Epimenides' liar paradox -- Eubulides' heap -- Science & Epistemology -- Glossary -- I think therefore I am -- Gettier's counter example -- profile: Karl Popper -- The brain in a vat -- Hume's problem of induction -- Goodman's gruesome riddle -- Popper's conjectures & refutations -- Kuhn's scientific revolutions -- Mind (...) & Metaphysics -- Glossary -- Descartes mind-body problem -- Brentano's intentionality -- Fodor's language of thought -- Parfit's persons -- profile: René Descartes -- Chalmer's zombies -- Zeno's paradoxes -- Kant's left hand -- Theseus' ship -- Laplace's demon, determinism, & free will -- Ryle's ghost in the machine -- Ethics & Political Philosophy -- Glossary -- Aristotle's ethics -- States of nature and the social contract -- Kant's categorical imperative -- profile: Immanuel Kant -- Mill's utilitarianism -- Marx's historical materialism -- The trolley problem -- Religion -- Glossary -- Aquinas' five ways -- Anselm's ontological argument -- profile: Thomas Aquinas -- Epicurus' riddle -- Paley's watchmaker -- Pascal's wager -- Hume against miracles -- Grand Moments -- Glossary -- Socrates' method -- Plato's cave -- Aristotle's four causes -- Lucretius' atomism -- profile: Ludwig Wittgenstein -- Berkeley's idealism -- Kant's synthetic a priori -- Hegel's dialectic -- James' pragmatism -- Moore's common sense -- Wittgenstein's picture theory of language -- Continental Philosophy -- Glossary -- Nietzsche's Superman -- profile: Friedrich Nietzsche -- Derrida's deconstruction -- Heidegger's nothing -- Sartre's bad faith. (shrink)

Assume that, even with a time machine, Tim does not have the ability to travel to the past and kill Grandfather. Why would that be? And what are the implications for traditional debates about freedom? We argue that there are at least two satisfactory explanations for why Tim cannot kill Grandfather. First, if an agent’s behavior at time _t_ is causally dependent on fact _F_, then the agent cannot perform an action (at _t_) that would require _F_ to have not (...) obtained. Second, if an agent’s behavior at time _t_ is causally dependent on fact _F_, then the agent cannot perform an action (at _t_) that would prevent _F_ from obtaining. These two explanations have distinct upshots for more traditional debates over freedom. The first implies that causal determinism is incompatible with the ability to do otherwise and also raises questions about the traditional arguments for the incompatibility of divine foreknowledge and the ability to do otherwise; the second does neither. However, both explanations imply that the Molinist account of divine providence renders agents unable to do otherwise, at least in certain circumstances. (shrink)

If there is a second dimension of time – a so-called ‘hypertime’ – is it logically possible for the past to change? Some have said yes; others have said no. I say yes provided that one has the appropriate ontological view of hypertime. So far, the ontology of hypertime has seldom been discussed. As such, this paper not only defends the logical possibility of a changing past, but aims to start a discussion on what ontological commitments are required to (...) make sense of a changing past. (shrink)

Is the virtue of the good citizen the same as the virtue of the good man? Aristotle addresses this in Politics 3.4. His answer is twofold. On the one hand, (the account for Difference) they are not the same both because what the citizen’s virtue is depends on the constitution, on what preserves it, and on the role the citizen plays in it, and because the good citizens in the best constitution cannot all be good men, whereas the good man’s (...) virtue is uniform. On the other hand, (the account for Identity) the two virtues are identical in the good men in the best constitution, in which all are good citizens, each possessing the ability for ruling and for being ruled. This nuanced answer can be seen as Aristotle’s synthesis of a Periclean view (contribution to state blots out personal wrongs) and a Socratic view (no good citizen is without justice). Its nuances reflect the extent to which Aristotle’s conceptions of good citizenship and the best constitution accommodate deviations of what is probable from the human ideal set out in his ethical writings. In the present chapter, I will first address three puzzles regarding the nuances of Aristotle’s answer. Second, I will consider one question about its implication: Does Aristotle’s account for Difference turn out to entail something ultra-Periclean: that no one can simultaneously be a good man and a good citizen in any constitution other than the best? I shall argue the negative. (shrink)

Statistical learning enables humans to involuntarily process and utilize different kinds of patterns from the environment. However, the cognitive mechanisms underlying the simultaneous acquisition of multiple regularities from different perceptual modalities remain unclear. A novel multidimensional serial reaction time task was developed to test 40 participants’ ability to learn simple first‐order and complex second‐order relations between uni‐modal visual and cross‐modal audio‐visual stimuli. Using the difference in reaction times between sequenced and random stimuli as the index of domain‐general statistical learning, (...) a significant difference and dissociation of learning occurred between the initial and final learning phases. Furthermore, we used a negative and positive occurrence‐frequency‐and‐reaction‐time correlation to indicate implicit and explicit learning, respectively, and found that learning simple uni‐modal patterns involved an implicit‐to‐explicit segue, while acquiring complex cross‐modal patterns required an explicit‐to‐implicit segue, resulting in a X‐shape crossing of regularity learning. Thus, we propose an X‐way hypothesis to elucidate the dynamic interplay between the implicit and explicit systems at two distinct stages when acquiring various regularities in a multidimensional probability space. (shrink)

What might it be to write a post-colonial social science? And how might the intellectual legacy of Chinese classical philosophy—for instance Sun Tzu and Lao Tzu—contribute to such a project? Reversing the more usual social science practice in which EuroAmerican concepts are applied in other global locations, this paper instead considers how a “Chinese” term, _shi_ might be used to explore the UK’s 2001 foot-and-mouth epidemic. Drawing on anthropological insights into mis/translation between different worlds and their alternative ways of knowing (...) and being, the paper explores that epidemic in three differently inspired _shi_-inflected “empirical” accounts. The first uses Sun Tzu’s strategic understanding of _shi_ to tell a conventionally representational story. The second resists the causes and background factors implied in standard social science by offering a “light” and _shi_-inflected form of knowing. And the third combines the referentiality of social science with a Lao Tzu-informed commitment to the paradoxes of normative epigram. This third narrative thus illustrates the possible features of a situated and _shi_-inflected social science that recognizes that it participates in the contexted and immanent flows and counterflows of things in the world. The paper concludes by noting that such a _shi_-inflected social science is experimental, and suggests that it is important to explore a range of ways of reversing the flow of concepts between EuroAmerica and other global locations. (shrink)

The concept of autonomy plays atleast two roles in moral theory. First, itprovides a source of constraints upon action:because I am autonomous you may not interferewith me, even for my own good. Second, itprovides a foundation for moral theory: humanautonomy has been thought by some to producemoral principles of a more general kind.This paper seeks to understand what autonomyis, and whether the autonomy of which we arecapable is able to serve these roles. We wouldnaturally hope for a concept of (...) autonomy thatis value-neutral rather than value-laden. Thatis to say, we would want the judgement that Iam autonomous to depend wholly on, say,structural features of my psychology, and in noway to require us to make ethical judgements, orother value judgements. Being value-neutral isperhaps desirable in a concept of autonomyserving the first role, and plausiblyindispensible in one playing the second. Ishall argue, however, that value-neutral conceptionsof autonomy are impoverished and out of linewith our intuitions; set out and defendan explicitly value-laden conception ofautonomy; and explore the implications of such a view for theability of autonomy to play the rolesmentioned above. (shrink)

Stephen Law follows THE PHILOSOPHY FILES with a second book of philosophical conundrums for teenagers. This time he asks such questions as Do Miracles Happen? Why Do These Words Mean Something? and Do I Know the Sun will Rise Tomorrow? You can dip into the arguments that interest you, in eight chapters where the themes are set up in witty scenarios and then debated. There are wacky thought experiments to work out and a variety of characters appear - some (...) of them Martians. As in THE PHILOSOPHY FILES, there are hundreds of lively cartoons running through the book. Stephen Law is a brilliant communicator with a passion to make young people think for themselves. As the GUARDIAN said: 'It's philosophy in action rather than philosophy in aspic... a real philosophy book for kids - which students and adults could enjoy too - finally exists'. (shrink)

Evidence suggests that the incidence of research misconduct is not in decline despite efforts to improve awareness, education and governance mechanisms. Two responses to this problem are favoured: first, the promotion of an agent-centred ethics approach to enhance researchers’ personal responsibility and accountability, and second, a change in research culture to relieve perceived pressures to engage in misconduct. This article discusses the challenges for both responses and explains how normative coherence through values alignment might assist. We argue that research (...) integrity and research ethics convey mixed messages, which are likely to contribute to a form of normative confusion. For the successful adoption of an agent-centred approach, normative coherence is needed between the two. To facilitate normative coherence, we propose that research ethics and research integrity be underpinned by a shared set of moral values that can be enacted via codes and guidelines and imbue research environments. Furthermore, to facilitate culture change, the same normative coherence is necessary at all levels of an institution. Only via values alignment between institutional aims, management, institutional practices and researchers can an ethical culture become truly embedded in research institutions. (shrink)

This article offers arefutation of the corrective justiceinterpretation of tort law – the view that itis essentially a system of corrective justice. It introduces a distinction between primary andsecondary tort duties and claims that tort lawis best understood as the union of its primaryand secondary duties. It then advances twoindependent criticisms of the correctivejustice interpretation. The article firstargues that primary tort duties have nothingfundamentally to do with corrective justice andthat, if one understands what is meant by``primary tort duties,'' one is (...) compelledto regard this fact as a decisive objection tothe corrective justice interpretation. Second,it argues that, whatever relation thereis between secondary tort duties and correctivejustice, that relation also holds betweencorrective justice and secondary duties ofother legal branches. In sum, the concept ofcorrective justice is neither capable ofunifying tort law nor of demarcating it fromother legal branches.The article also offers a general alternativeinterpretation of tort law. Rather thanbeing essentially corrective, tort law isessentially protective. Under this picture, iftort law has a most important point, it is theprotection of legal subjects and valuablesocial interests from harm. This is theoverarching ambition that unifies primary andsecondary tort duties. It does not, however,demarcate tort law from other legal branches. (shrink)

Australia is second only to Israel in being the world’s most culturally diverse nation, based largely on high levels of immigration in the second part of the 20th century. From the 1970s onwards, Australia formally recognized the massive social changes brought about by postwar immigration, and provided legislation to incorporate cultural diversity into everyday lives. One such ‘legislative’ enactment saw the establishment of multicultural broadcasting in Australia, as arguably a world-first, both in its comprehensiveness and diversity. Today, Australia (...) has a public sector corporation, the Special Broadcasting Service, administering five radio services in 68 languages. Also, the Community Radio sector produces multicultural programming in 100 languages through a number of its 330 broadcast and 207 narrowcast stations. This article examines the relationship between radio and its communities. It argues that despite the ‘profile’ of SBS television, radio is much closer to its constituent communities, and therefore plays a greater role in enabling those communities to speak their own histories, beyond the confines of a consensual Anglophile paradigm. (shrink)

We present a model of similarity‐based retrieval that attempts to capture three seemingly contradictory psychological phenomena: (a) structural commonalities are weighed more heavily than surface commonalities in similarity judgments for items in working memory; (b) in retrieval, superficial similarity is more important than structural similarity; and yet (c) purely structural (analogical) remindings e sometimes experienced. Our model, MAC/FAC, explains these phenomena in terms of a two‐stage process. The first stage uses a computationally cheap, non‐structural matcher to filter candidate long‐term memory (...) items. It uses content vectors, a redundant encoding of structured representations whose dot product estimates how well the corresponding structural representations will match. The second stage uses SME (structure‐mapping engine) to compute structural matches on the handful of items found by the first stage. We show the utility of the MAC/FAC model through a series of computational experiments: (a) We demonstrate that MAC/FAC can model patterns of access found in psychological data; (b) we argue via sensitivity analyses that these simulation results rely on the theory; and (c) we compare the performance of MAC/FAC with ARCS, an alternate model of similarity‐based retrieval, and demonstrate that MAC/FAC explains the data better than ARCS. Finally, we discuss limitations and possible extensions of the model, relationships with other recent retrieval models, and place MAC/FAC in the context of other recent work on the nature of similarity. (shrink)

Can the second law of thermodynamics explain our mental experience of the direction of time? According to an influential approach, the past hypothesis of universal low entropy also explains how the psychological arrow comes about. We argue that although this approach has many attractive features, it cannot explain the psychological arrow after all. In particular, we show that the past hypothesis is neither necessary nor sufficient to explain the psychological arrow on the basis of current physics. We propose two (...) necessary conditions on the workings of the brain that any account of the psychological arrow of time must satisfy. And we propose a new reductive physical account of the psychological arrow of time compatible with time-symmetric physics, according to which these two conditions are also sufficient. Our proposal has some radical implications, for example, that the psychological arrow of time is fundamental, whereas the temporal direction of entropy increase in the second law of thermodynamics and the past hypothesis is derived from it, rather than the other way around. 1Introduction2A Physical Account of the Psychological Arrow of Time3Necessary Conditions for the Psychological Arrow of Time4The Psychological Arrow of Time via the Second Law of Thermodynamics and the Past Hypothesis5Why the Past Hypothesis Is Insufficient for the Psychological Arrow of Time5.1Stage 1, Version 1: From the past hypothesis to the psychological arrow via typicality5.2Stage 1, Version 2: From the past hypothesis to the psychological arrow via dynamical or causal considerations5.3Stage 2: From entropy gradient in the brain to the psychological arrow of time6Why the Past Hypothesis Is Unnecessary for the Psychological Arrow of Time7A New Reductive Account of the Psychological Arrow of Time. (shrink)

The second law results in the growth of the entropy – in superficial interpretation this principle presumes that the sufficient energy inevitably turns into the substandard energy. Order turns into chaos over time; however, chaos also turns into order under certain circumstances. The first research objective is to establish the possible prescientific ideas about the phenomenon – some philosophical intuitions that have preceded the scientific discovery of the second law and have conformed to it in a certain sense. (...) It is essential because there are always certain bonds and continuity in the history of philosophy and science – the correct interpretation of the phenomenon becomes difficult, if not impossible, without the establishment of such bonds.Moreover, the main task is to understand what the second law is and which significance its principal corollaries have. We need to give the second law a correct interpretation that will allow making assumptions about its connection with time in the context of the initial state problem and about the possible new ways of modern physics development – in particular, the creation of the quantum theory of gravity. Two solutions to the entropy and initial state connection problem are proposed in the context of the time arrow discussion (G. Calender’s approach to solving the problem is disputed). (shrink)

In quantum statistical mechanics, equilibrium states have been shown to be the typical states for a system that is entangled with its environment, suggesting a possible identification between thermodynamic and von Neumann entropies. In this paper, we investigate how the relaxation toward equilibrium is made possible through interactions that do not lead to significant exchange of energy, and argue for the validity of the second law of thermodynamics at the microscopic scale.

Over the last 10–15 years the second law of thermodynamics has undergone unprecedented scrutiny, particularly with respect to its universal status. This brief article introduces the proceedings of a recent symposium devoted to this topic, The second law of thermodynamics: Foundations and Status, held at University of San Diego as part of the 87th Annual Meeting of the Pacific Division of the AAAS (June 19–22, 2006). The papers are introduced under three themes: ideal gases, quantum perspectives, and interpretation. (...) Roughly half the papers support traditional interpretations of the second law while the rest challenge it. (shrink)

When the probability of causes, and the probability of effects, given causes, are each randomly assigned, entropy ‘usually’ increases.

Newton certainly regarded his second law of motion in the Principia as a fundamental axiom of mechanics. Yet the works that came after the Principia, the major treatises on the foundations of mechanics in the eighteenth century—by Varignon, Hermann, Euler, Maclaurin, d’Alembert, Euler (again), Lagrange, and Laplace—do not record, cite, discuss, or even mention the Principia’s statement of the second law. Nevertheless, the present study shows that all of these scientists do in fact assume the principle that the (...) Principia’s second law asserts as a fundamental axiom in their mechanics. (For what that second law asserts, we rely on Newton’s own testimony.) Some, like Varignon and Hermann, assume the axiom implicitly, apparently unaware that any assumption is being made, while others, like Maclaurin and Euler, assume the axiom explicitly, apparently unaware that the assertion assumed is the second law as Newton himself understood it. But in every case these scientists employ the principle asserted by the Principia’s second law fundamentally, unaware that they should be citing Neutonus, Prin., Phil. Nat. Math., Lex II. (shrink)

The second law of thermodynamics is traditionally interpreted as a coarse-grained result of classical mechanics. Recently its relation with quantum mechanical processes such as decoherence and measurement has been revealed in literature. In this paper we will formulate the second law and the associated time irreversibility following Everett’s idea: systems entangled with an object getting to know the branch in which they live. Accounting for this self-locating knowledge, we get two forms of entropy: objective entropy measuring the uncertainty (...) of the state of the object alone, and subjective entropy measuring the information carried by the self-locating knowledge. By showing that the summation of the two forms of entropy is a conserved and perspective-free quantity, we interpret the second law as a statement of irreversibility in knowledge acquisition. This essentially derives the thermodynamic arrow of time from the subjective arrow of time, and provides a unified explanation for varieties of the second law, as well as the past hypothesis. (shrink)

We show that the so-called Multiple-Computations Theorem in cognitive science and philosophy of mind challenges Landauer’s Principle in physics. Since the orthodox wisdom in statistical physics is that Landauer’s Principle is implied by, or is the mechanical equivalent of, the Second Law of thermodynamics, our argument shows that the Multiple-Computations Theorem challenges the universal validity of the Second Law of thermodynamics itself. We construct two examples of computations carried out by one and the same dynamical process with respect (...) to which Landauer’s principle implies contradictory predictions concerning the entropy increase. Our two examples are based on a weak version of the Multiple-Computations Theorem, which is quite uncontroversial, and therefore they amount to a clear refutation of the universal validity of Landauer’s Principle. We consider some responses to this argument that do not attempt to single out one computation over the others, and we show that they do not work. We further consider ways out of the argument by externalist approaches supporting the computational theory of the mind who propose that the interaction of a computing system with the environment is enough to select a single computation over the others. We show on physical grounds that this approach fails too. We then reverse the direction of our challenge and formulate a dilemma for supporters of the computational theory of the mind: they must reject the causal closure of physic; or else they must accept on a priori grounds that Landauer’s Principle and the Second Law of thermodynamics are not universally valid. Finally, we present our version of a type–type mind-brain identity theory called Flat Physicalism, which is based on the paradigm case of statistical mechanics, and we show that it circumvents the challenge from Landauer’s Principle and the Multiple-Computations Theorem and does not fall prey to our dilemma. (shrink)

In this work, we have investigated the validity of the generalized second law of thermodynamics in logamediate and intermediate scenarios of the universe bounded by the Hubble, apparent, particle and event horizons using and without using first law of thermodynamics. We have observed that the GSL is valid for Hubble, apparent, particle and event horizons of the universe in the logamediate scenario of the universe using first law and without using first law. Similarly the GSL is valid for all (...) horizons in the intermediate scenario of the universe using first law. Also in the intermediate scenario of the universe, the GSL is valid for Hubble, apparent and particle horizons but it breaks down whenever we consider the universe enveloped by the event horizon. (shrink)

In French mechanical treatises of the nineteenth century, Newton’s second law of motion was frequently derived from a relativity principle. The origin of this trend is found in ingenious arguments by Huygens and Laplace, with intermediate contributions by Euler and d’Alembert. The derivations initially relied on Galilean relativity and impulsive forces. After Bélanger’s Cours de mécanique of 1847, they employed continuous forces and a stronger relativity with respect to any commonly impressed motion. The name “principle of relative motions” and (...) the very idea of using this principle as a constructive tool were born in this context. The consequences of Poincaré’s and Einstein’s awareness of this approach are analyzed. Lastly, the legitimacy and significance of a relativity-based derivation of Newton’s second law are briefly discussed in a more philosophical vein. (shrink)

It is commonly thought that there is some tension between the second law of thermodynam- ics and the time reversal invariance of the microdynamics. Recently, however, Jos Uffink has argued that the origin of time reversal non-invariance in thermodynamics is not in the second law. Uffink argues that the relationship between the second law and time reversal invariance depends on the formulation of the second law. He claims that a recent version of the second law (...) due to Lieb and Yngvason allows irreversible processes, yet is time reversal invariant. In this paper, I attempt to spell out the traditional argument for incompatibility between the second law and time reversal invariant dynamics, making the assumptions on which it depends explicit. I argue that this argument does not vary with different versions of the second law and can be formulated for Lieb and Yngvason's version as for other versions. Uffink's argument regarding time reversal invariance in Lieb and Yngvason is based on a certain symmetry of some of their axioms. However, these axioms do not constitute the full expression of the second law in their system. (shrink)

Thermodynamic implications of anisotropic gas-surface interactions in a closed molecular flow cavity are examined. Anisotropy at the microscopic scale, such as might be caused by reduced-dimensionality surfaces, is shown to lead to reversibility at the macroscopic scale. The possibility of a self-sustaining nonequilibrium stationary state induced by surface anisotropy is demonstrated that simultaneously satisfies flux balance, conservation of momentum, and conservation of energy. Conversely, it is also shown that the second law of thermodynamics prohibits anisotropic gas-surface interactions in “equilibrium”, (...) even for reduced dimensionality surfaces. This is particularly startling because reduced dimensionality surfaces are known to exhibit a plethora of anisotropic properties. That gas-surface interactions would be excluded from these anisotropic properties is completely counterintuitive from a causality perspective. These results provide intriguing insights into the second law of thermodynamics and its relation to gas-surface interaction physics. (shrink)

If one demystifies entropy the second law of thermodynamics comes out as an emergent property entirely based on the simple dynamic mechanical laws that govern the motion and energies of system parts on a micro-scale. The emergence of the second law is illustrated in this paper through the development of a new, very simple and highly efficient technique to compare time-averaged energies in isolated conservative linear large scale dynamical systems. Entropy is replaced by a notion that is much (...) more transparent and more or less dual called ectropy. Ectropy has been introduced before but we further modify the notion of ectropy such that the unit in which it is expressed becomes the unit of energy. The second law of thermodynamics in terms of ectropy states that ectropy decreases with time on a large enough time-scale and has an absolute minimum equal to zero. Zero ectropy corresponds to energy equipartition. Basically we show that by enlarging the dimension of an isolated conservative linear dynamical system and the dimension of the system parts over which we consider time-averaged energy partition, the tendency towards equipartition increases while equipartition is achieved in the limit. This illustrates that the second law is an emergent property of these systems. Finally from our large scale linear dynamic model we clarify Loschmidt’s paradox concerning the irreversible behavior of ectropy obtained from the reversible dynamic laws that govern motion and energy at the micro-scale. (shrink)

In this short paper we make a proposal that the second law of thermodynamics holds true for a closed physical system consisting of pure antimatter in the thermodynamical limit, but in a reversed form. We give two plausible arguments in favour to this proposal: one refers to the CPT theorem of relativistic quantum field theories while the other one is based on general thermodynamical arguments. However in our understanding the ultimate validity or invalidity of this idea can be decided (...) only by future physical experiments. As a consequence of the proposal we argue that the dynamical evolution of pure macroscopic antimatter systems can be very different from that of ordinary matter systems in the sense that sufficiently massive antimatter systems could have stronger tendency to form black holes during time evolution than their ordinary counterparts. Taking into account the various uniqueness theorems in black hole physics as well, as a result, antimatter could tracelessly disappear behind black hole event horizons faster in time than ordinary matter. The observed asymmetry of matter and antimatter could then be explained even if their presence in the Universe was symmetric in the beginning. (shrink)

Entangled quantum systems can be harnessed to transmit, store, and manipulate information in a more efficient and secure way than possible in the realm of classical physics. Given this resource character of entanglement, it is an important problem to characterize ways to manipulate it and meaningful approaches to its quantification. This is the objective of entanglement theory.

The epistemic arrow of time is the fact that our knowledge of the past seems to be both of a different kind and more detailed than our knowledge of the future. Just like with the other arrows of time, it has often been speculated that the epistemic arrow arises due to the second law of thermodynamics. In this paper, we investigate the epistemic arrow of time using a fully formal framework. We begin by defining a memory system as any (...) physical system whose present state can provide information about the state of the external world at some time other than the present. We then identify two types of memory systems in our universe, along with an important special case of the first type, which we distinguish as a third type of memory system. We show that two of these types of memory systems are time-symmetric, able to provide knowledge about both the past and the future. However, the third type of memory systems exploits the second law of thermodynamics, at least in all of its instances in our universe that we are aware of. The result is that in our universe, this type of memory system only ever provides information about the past. We also argue that human memory is of this third type, completing the argument. We end by scrutinizing the basis of the second law itself. This uncovers a previously unappreciated formal problem for common arguments that try to derive the second law from the “Past Hypothesis”, i.e., from the claim that the very early universe was in a state of extremely low entropy. Our analysis is indebted to prior work by one of us but expands and improves upon this work in several respects. (shrink)

In a previous paper (Duncan, T.L., Semura, J.S. in Entropy 6:21, 2004) we considered the question, “What underlying property of nature is responsible for the second law?” A simple answer can be stated in terms of information: The fundamental loss of information gives rise to the second law. This line of thinking highlights the existence of two independent but coupled sets of laws: Information dynamics and energy dynamics. The distinction helps shed light on certain foundational questions in statistical (...) mechanics. For example, the confusion surrounding previous “derivations” of the second law from energy dynamics can be resolved by noting that such derivations incorporate one or more assumptions that correspond to the loss of information. In this paper we further develop and explore the perspective in which the second law is fundamentally a law of information dynamics. (shrink)

The aim of this article is to analyse the relation between the second law of thermodynamics and the so-called arrow of time. For this purpose, a number of different aspects in this arrow of time are distinguished, in particular those of time-reversal (non-)invariance and of (ir)reversibility. Next I review versions of the second law in the work of Carnot, Clausius, Kelvin, Planck, Gibbs, Caratheodory and Lieb and Yngvason, and investigate their connection with these aspects of the arrow of (...) time. It is shown that this connection varies a great deal along with these formulations of the second law. According to the famous formulation by Planck, the second law expresses the irreversibility of natural processes. But in many other formulations irreversibility or even time-reversal non-invariance plays no role. I therefore argue for the view that the second law has nothing to do with the arrow of time. (shrink)

The search for the statistical mechanical underpinning of thermodynamic irreversibility has so far focussed on the spontaneous approach to equilibrium. But this is the search for the underpinning of what Brown and Uffink have dubbed the ‘minus first law’ of thermodynamics. In contrast, the second law tells us that certain interventions on equilibrium states render the initial state ‘irrecoverable’. In this article, I discuss the unusual nature of processes in thermodynamics, and the type of irreversibility that the second (...) law embodies. I then search for the microscopic underpinning or statistical mechanical ‘reductive basis’ of the second law of thermodynamics by taking a functionalist strategy. First, I outline the functional role of the thermodynamic entropy: for a thermally isolated system, the thermodynamic entropy is constant in quasi-static processes, but increasing in non-quasi-static processes. I then search for the statistical mechanical quantity that plays this role—rather than the role of the traditional ‘holy grail’ as described by Callender. I argue that in statistical mechanics, the Gibbs entropy plays this role. (shrink)

Cartesian mind body dualism and modern versions of this viewpoint posit a mind thermodynamically unrelated to the body but informationally interactive. The relation between information and entropy developed by Leon Brillouin demonstrates that any information about the state of a system has entropic consequences. It is therefore impossible to dissociate the mind's information from the body's entropy. Knowledge of that state of the system without an energetically significant measurement would lead to a violation of the second law of thermodynamics.

After deconstructing the thermodynamic concepts of work and waste, I take up Howard Odum’s idea of energy quality, which tallies the overall amount of energy needed to be dissipated in order to accomplish some work of interest. This was developed from economic considerations that give obvious meaning to the work accomplished. But the energy quality idea can be used to import meaning more generally into Nature. It could be viewed as projecting meaning back from any marked work into preceding energy (...) gradient dissipations that immediately paved the way for it. But any work done by an abiotic dissipative structure, since it would be without positive economic significance, would also be difficult to mark as a starting point for the energy quality calculation. Furthermore, any destructive work as by hurricanes or floods, with negative economic significance, would not seem to merit the quality calculation either. But there has been abiotic work of keen interest to us—that which mediated the origin of life. Some kind of abiotic dissipative structures had to have been the framework that fostered this process, regardless of how it might come to be understood in detail. Since all dissipative structures have the same thermodynamic and informational organization in common, any of them might provide the material context for the origin of something. So we can pick any starting point we wish, and calculate backward what sequence of energy usages would have been necessary to set it up. Given such an open ended project, we could not find an obvious place in any sequence to stop and start the forward the calculation, and so we would need to take it right back to an ultimate beginning, like the insolation of some area, or the outpouring of Earth’s thermal energy. Any energy dissipation might be the beginning of something of importance, and so Nature is as replete with potential meanings as it is with energy gradients. (shrink)

Sheehan and coworkers have claimed [D. P. Sheehan et al., Found. Phys. 30, 1227 ; 32, 441 ; D. P. Sheehan, in Quantum Limits to the Second Law, AIP Conference Proceedings 643, p. 391] that a dilute gas trapped between an external shell and a gravitator can support a steady state in which energy flux by particles in one direction is balanced by energy flux by radiation in the opposite direction, and in which work can be extracted from an (...) isothermal heat reservoir, thereby violating the second law of thermodynamics. In this paper, we identify a fundamental error in their simulation and analysis of their model system that vitiates their conclusions. We analyze a simpler, exactly soluble, three-dimensional model of a very dilute gas in a gravitational field between two thermal reservoirs, and show that their conclusions are not supported for the simple model. We show that their method of simulation, when applied to either the simple model or their more complex model under simpler conditions where the answers are known, leads to unphysical results. We also show that, when appropriate sampling is done, their model gives results in accord with the second law and detailed balance. (shrink)

After deconstructing the thermodynamic concepts of work and waste, I take up Howard Odum’s idea of energy quality, which tallies the overall amount of energy needed to be dissipated in order to accomplish some work of interest. This was developed from economic considerations that give obvious meaning to the work accomplished. But the energy quality idea can be used to import meaning more generally into Nature. It could be viewed as projecting meaning back from any marked work into preceding energy (...) gradient dissipations that immediately paved the way for it. But any work done by an abiotic dissipative structure, since it would be without positive economic significance, would also be difficult to mark as a starting point for the energy quality calculation. Furthermore, any destructive work as by hurricanes or floods, with negative economic significance, would not seem to merit the quality calculation either. But there has been abiotic work of keen interest to us—that which mediated the origin of life. Some kind of abiotic dissipative structures had to have been the framework that fostered this process, regardless of how it might come to be understood in detail. Since all dissipative structures have the same thermodynamic and informational organization in common, any of them might provide the material context for the origin of something. So we can pick any starting point we wish, and calculate backward what sequence of energy usages would have been necessary to set it up. Given such an open ended project, we could not find an obvious place in any sequence to stop and start the forward the calculation, and so we would need to take it right back to an ultimate beginning, like the insolation of some area, or the outpouring of Earth’s thermal energy. Any energy dissipation might be the beginning of something of importance, and so Nature is as replete with potential meanings as it is with energy gradients. (shrink)

After the birth of thermodynamics’ second principle—outlined in Carnot's Réflexions sur la puissance motrice du feu —several studies provided new arguments in the field. Mainly, they concerned the thermodynamics’ first principle—including energy conceptualisation—, the analytical aspects of the heat propagation, the statistical aspects of the mechanical theory of heat. In other words, the second half of nineteenth century was marked by an intense interdisciplinary research activity between physics and chemistry: new disciplines applied to the heat developed in the (...) form of analytical, mechanical and statistical theories. Inside all these theories, entropy—the brand-new function that Clausius coined in his Mechanical theory of heat—started to play a central epistemic role. In the present paper, we analyse some steps of the historical process of conceptualisation of such function from 1850 to 1902. Particularly, we retrace the historical–foundational path that—starting from Clausius’ Second Law—lead Boltzmann and Gibbs to their distinguished formulations of statistical entropy. As usual, our research has been unrolled through the analyses of primary sources and by leaning on critical readings of the secondary literature. As for the methodological approach, text analysis of historical documents constituted our privileged modus operandi. This paper is the expression of a collaborative historical research program focused on the thermodynamic foundations of physics–chemistry relationship; early results have already been published by the same authors upon the concepts of reversibility––and––thermal equilibrium. (shrink)

We present here a cosmological myth, alternative to "the Universe Story" and "the Epic of Evolution", highlighting the roles of entropy and dissipative structures in the universe inaugurated by the Big Bang. Our myth offers answers these questions: Where are we? What are we? Why are we here? What are we to do? It also offers answers to a set of "why" questions: Why is there anything at all? and Why are there so many kinds of systems? - the answers (...) coming from cosmology and physics ; Why do systems not last once they exist? - the answer coming from a materialist interpretation of information theory; and, Why are systems just the way they are and not otherwise? - the answer coming from evolutionary biology. We take into account the four kinds of causation designated by Aristotle as efficient, final, and material formal, with the Second Law of thermodynamics in the role of final cause. Conceptual problems concerning reductionism, "teleology", and the choice/chance distinction are dealt with in the framework of specification hierarchy, and the moral implications of our story explored in the conclusion. (shrink)

We introduce a simple model for so-called spin-echo experiments. We show that the model is a mincing system. On the basis of this model we study fine-grained entropy and coarse-grained entropy descriptions of these experiments. The coarse-grained description is shown to be unable to provide an explanation of the echo signals, as a result of the way in which it ignores dynamically generated correlations. This conclusion is extended to the general debate on the foundations of statistical mechanics. We emphasize the (...) need for an appropriate mechanism to explain the gradual suppression over time of the correlations in a thermodynamic system. We argue that such a mechanism can only be provided by the interventionist approach, in which the interaction of the system with its environment is taken into account. Irreversible behavior is then seen to arise not as a result of limited measurement accuracy , but as a result of the fact that thermodynamic systems are limited systems which interact with their environment. A detailed discussion is given of recent objections to the interventionist approach in the literature. (shrink)

We present here a cosmological myth, alternative to "the Universe Story" and "the Epic of Evolution", highlighting the roles of entropy and dissipative structures in the universe inaugurated by the Big Bang. Our myth offers answers these questions: Where are we? What are we? Why are we here? What are we to do? It also offers answers to a set of "why" questions: Why is there anything at all? and Why are there so many kinds of systems? - the answers (...) coming from cosmology and physics ; Why do systems not last once they exist? - the answer coming from a materialist interpretation of information theory; and, Why are systems just the way they are and not otherwise? - the answer coming from evolutionary biology. We take into account the four kinds of causation designated by Aristotle as efficient, final, and material formal, with the Second Law of thermodynamics in the role of final cause. Conceptual problems concerning reductionism, "teleology", and the choice/chance distinction are dealt with in the framework of specification hierarchy, and the moral implications of our story explored in the conclusion. (shrink)

For about the last thirty years Newton scholars have carried on a discussion on the meaning of Newton’s second law and its place in the stucture of his physics. E. J. Dijksterhuis, Brian D. Ellis, R. G. A. Dolby, I. Bernard Cohen, and R. S. Westfall in their treatments of these matters all quote a passage that Newton added to the third edition of the Principia. This passage, beginning “Corpore cadente” (“when a body is falling”), was inserted into the (...) Scholium following the Laws. The present article is an analysis of the literature that treats this passage and its relation to the second law. The conclusion is that they are right who see a deep duality in Newton’s mind regarding this law. (shrink)

The measurement of force is based on a formal law of additivity, which characterizes the effects of two or more configurations on the equilibrium of a material point. The representing vectors (resultant forces) are additive over configurations. The existence of a tight interrelation between the force vector and the geometric space, in which motion is described, depends on observations of partial (directional) equilibria; an axiomatization of this interrelation yields a proof of part two of Newton's second law of motion. (...) The present results (which were derived from a curious and deep isomorphism between force measurement and trichromatic color measurement) yield a kind of subunit, which needs to be incorporated into more complete axiomatizations of mechanics that would fulfill the Mach-Kirchhoff program. (shrink)