I defend the conserved quantity theory of causation against two objections: firstly, that to tie the notion of “cause” to conservation laws is impossible, circular or metaphysically counterintuitive; and secondly, that the conserved quantity theory entails an undesired notion of identity through time. My defence makes use of an important meta-philosophical distinction between empirical analysis and conceptual analysis. My claim is that the conserved quantity theory of causation must be understood primarily as an empirical, (...) not a conceptual, analysis of causation. (shrink)

Advocates of the conserved quantity (CQ) theory of causation have their own peculiar problem with conservation laws. Since they analyze causal process and interaction in terms of conserved quantities that are in turn defined as physical quantities governed by conservation laws, they must formulate conservation laws in a way that does not invoke causation, or else circularity threatens. In this paper I will propose an adequate formulation of a conservation law that serves CQ theorists' purpose.

I defend the conserved quantity theory of causation against two objections: firstly, that to tie the notion of "cause"to conservation laws is impossible, circular or metaphysically counterintuitive ; and secondly, that the conser quantity theory entails an undesired notion of identity through time. My defence makes use of an important meta-philosophical distinction between empirical analysis and conceptual analysis. My claim is that the conserved quantity theory of causation must be understood primarily as an empirical, not (...) a conceptual, analysis of causation. (shrink)

In this paper I offer an 'integrating account' of singular causation, where the term 'integrating' refers to the following program for analysing causation. There are two intuitions about causation, both of which face serious counterexamples when used as the basis for an analysis of causation. The 'process' intuition, which says that causes and effects are linked by concrete processes, runs into trouble with cases of 'misconnections', where an event which serves to prevent another fails to do so on a particular (...) occasion and yet the two events are linked by causal processes. The chance raising intuition, according to which causes raise the chance of their effects, easily accounts for misconnections but faces the problem of chance lowering causes, a problem easily accounted for by the process approach. The integrating program attempts to provide an analysis of singular causation by synthesising the two insights, so as to solve both problems. In this paper I show that extant versions of the integrating program due to Eells, Lewis, and Menzies fail to account for the chance-lowering counterexample. I offer a new diagnosis of the chance lowering case, and use that as a basis for an integrating account of causation which does solve both cases. In doing so, I accept various assumptions of the integrating program, in particular that there are no other problems with these two approaches. As an example of the process account, I focus on the recent CQ theory of Wesley Salmon (1997). (shrink)

In a recent paper (1994) Wesley Salmon has replied to criticisms (e.g., Dowe 1992c, Kitcher 1989) of his (1984) theory of causality, and has offered a revised theory which, he argues, is not open to those criticisms. The key change concerns the characterization of causal processes, where Salmon has traded "the capacity for mark transmission" for "the transmission of an invariant quantity." Salmon argues against the view presented in Dowe (1992c), namely that the concept of "possession of a (...) class='Hi'>conserved quantity" is sufficient to account for the difference between causal and pseudo processes. Here that view is defended, and important questions are raised about the notion of transmission and about gerrymandered aggregates. (shrink)

In a recent paper Wesley Salmon has replied to criticisms of his theory of causality, and has offered a revised theory which, he argues, is not open to those criticisms. The key change concerns the characterization of causal processes, where Salmon has traded “the capacity for mark transmission” for “the transmission of an invariant quantity.” Salmon argues against the view presented in Dowe, namely that the concept of “possession of a conserved quantity” is sufficient to account for (...) the difference between causal and pseudo processes. Here that view is defended, and important questions are raised about the notion of transmission and about gerrymandered aggregates. (shrink)

This paper expounds the relations between continuous symmetries and conserved quantities, i.e. Noether's ``first theorem'', in both the Lagrangian and Hamiltonian frameworks for classical mechanics. This illustrates one of mechanics' grand themes: exploiting a symmetry so as to reduce the number of variables needed to treat a problem. I emphasise that, for both frameworks, the theorem is underpinned by the idea of cyclic coordinates; and that the Hamiltonian theorem is more powerful. The Lagrangian theorem's main ``ingredient'', apart from cyclic (...) coordinates, is the rectification of vector fields afforded by the local existence and uniqueness of solutions to ordinary differential equations. For the Hamiltonian theorem, the main extra ingredients are the asymmetry of the Poisson bracket, and the fact that a vector field generates canonical transformations iff it is Hamiltonian. (shrink)

The conserved quantity theory of causation aims to analyze causal processes and interactions in terms of conserved quantities. In order to be successful, the theory must correctly distinguish between causal processes and interactions, on the one hand, and pseudoprocesses and mere intersections on the other.Moreover, it must do this while satisfying two further criteria: it must avoid circularity; and the appeal to conserved quantities must not be redundant. I argue that the theory is not successful in (...) meeting these criteria. (shrink)

The time-scale dynamic equations play an important role in modeling complex dynamical processes. In this paper, the Mei symmetry and new conserved quantities of time-scale Birkhoff’s equations are studied. The definition and criterion of the Mei symmetry of the Birkhoffian system on time scales are given. The conditions and forms of new conserved quantities which are found from the Mei symmetry of the system are derived. As a special case, the Mei symmetry of time-scale Hamilton canonical equations is (...) discussed and new conserved quantities for the Hamiltonian system on time scales are derived. Two examples are given to illustrate the application of results. (shrink)

Phil Dowe has argued persuasively for a reductivist theory of causality. Drawing on Wesley Salmon's mark transmission theory and David Fair's transferencetheory, Dowe proposes to reduce causality to the exchange of conserved quantities. Dowe's account has the virtue of being simple and offering a definite "visible" idea of causation. According to Dowe and Salmon, it is also virtuous in being localist. That a theory of causation is localist means that it does not need the aid of counterfactuals and/or laws (...) to work. Moreover, it can become the means by which we explain counterfactuals and laws. In this paper, I will argue that the theory is not localist (and hence, that it is less simple than it seems). As far as I can see, the theory needs the aid of laws. (shrink)

Phil Dowe has argued persuasively for a reductivist theory of causality. Drawing on Wesley Salmon's mark transmission theory and David Fair's transferencetheory, Dowe proposes to reduce causality to the exchange of conserved quantities. Dowe's account has the virtue of being simple and offering a definite "visible" idea of causation. According to Dowe and Salmon, it is also virtuous in being localist. That a theory of causation is localist means that it does not need the aid of counterfactuals and/or laws (...) to work. Moreover, it can become the means by which we explain counterfactuals and laws. In this paper, I will argue that the theory is not localist (and hence, that it is less simple than it seems). As far as I can see, the theory needs the aid of laws. (shrink)

This paper examines Wesley Salmon's "process" theory of causality, arguing in particular that there are four areas of inadequacy. These are that the theory is circular, that it is too vague at a crucial point, that statistical forks do not serve their intended purpose, and that Salmon has not adequately demonstrated that the theory avoids Hume's strictures about "hidden powers". A new theory is suggested, based on "conserved quantities", which fulfills Salmon's broad objectives, and which avoids the problems discussed.

We treat emergence via reference to four ideas: (1) the different levels of emergence are characterised by distinct conservation laws, (2) the emergence process starts from some instability, (3) the driving force of emergence is given by selection processes allowing canalisation of specific (emerging) paths, and (4) new forms of stability are determined by new kinds of operations. At a quantum-mechanical level entropy is conserved in an isolated system or at global level and the only allowed operations are local (...) shifts in order and disorder – that implies weakening and strengthening correlations. The stable state is here represented by a highly symmetric state. Emergence of the classical physical world arises when energy is conserved and allowable operations include building and breaking of physical-chemical connections. The stable state is here the energy minimum. Emergence of the biotic world implies that the conserved quantity is energy efficiency. Energy is no longer locally conserved. The allowed operations are those that are consistent with the survival (persistence) of the organism. The emergence of the mind is grounded in selecting those operations that are rational (in the sense of maintaining biological self-organisation). Here, the rational value of behaviour is the quantity of interest. Mounting the ladder of (both cosmic and biological) evolution means to have more and more selection of the possible outcomes (and therefore of the relative operations) but in a growing space of possibilities: if selection would reduce more and more the space of possibilities, the final result would be a rigid order; at the other extreme, if we had only expansion of the possibilities without selection, the final result would be disorder. So growing complexity can be understood as a path in the evolutionary landscape of the systems in which a balance of order and disorder is maintained although each level emerges as a result of the selection. (shrink)

Cognition means different things to different psychologists depending on the position held on the mind-matter problem. Ecological psychologists reject the implied mind-matter dualism as an ill-posed theoretic problem because the assumed mind-matter incommensurability precludes a solution to the degrees of freedom problem. This fundamental problem was posed by both Nicolai Bernstein and James J. Gibson independently. It replaces mind-matter dualism with animal-environment duality -- a better posed scientific problem because commensurability is assured. Furthermore, when properly posed this way, a conservation (...) law is suggested that encompasses a psychology of transactional systems, a biology of self-actional systems, and a physics of interactional systems. For such a solution, a theory of cognition for goal-directed behaviour is needed. A sketch is supplied for how such a theory might be pursued in the spirit of the new physics of evolving complex systems. (shrink)

The energy-momentum tensor for a particular matter component summarises its local energy-momentum distribution in terms of densities and current densities. We re-investigate under what conditions these local distributions can be integrated to meaningful global quantities. This leads us directly to a classic theorem by Max von Laue concerning integrals of components of the energy-momentum tensor, whose statement and proof we recall. In the first half of this paper we do this within the realm of Special Relativity and in the traditional (...) mathematical language using components with respect to affine charts, thereby focusing on the intended physical content and interpretation. In the second half we show how to do all this in a proper differential-geometric fashion and on arbitrary space-time manifolds, this time focusing on the group-theoretic and geometric hypotheses underlying these results. Based on this we give a proper geometric statement and proof of Laue's theorem, which is shown to generalise from Minkowski space to space-times with significantly less symmetries. This result, which seems to be new, not only generalises but also clarifies the geometric content and hypotheses of Laue's theorem. A series of three appendices lists our conventions and notation and summarises some of the conceptual and mathematical background needed in the main text. (shrink)

Causation is important when considering how an organism maintains health, why disease arises in a healthy person, and how one may intervene to change the course of a disease. This paper explores the form of causative relationships in health, disease and intervention, with particular regard to the pathological and biopsychosocial models. Consistent with the philosophical view of dispositionalism, we believe that objects are the fundamental relata of causation. By accepting the broad scope of the biopsychosocial model, we argue that psychological (...) and social constructs be considered objects. We think that this 'biopsychosocial dispositionalism' offers the flexibility required to describe causation throughout health, disease and intervention pathways. When constructing mechanistic chains to describe causative pathways, we argue that an object will causally connect with others through actions; transfers of energy from one object to another, initiated by the manifestation of one or more dispositional property. Finally, our analysis of causative interactions utilises the concept that a common form of interaction exists between disease and intervention pathways. This common form will always be an object, but the mode of interaction will vary with each disease. We describe how intervention may act through objects being shared between converging mechanistic chains, or through the removal and/or insertion of objects in such chains. We believe that this analysis provides novel insight to the forms of causative transactions that can occur. In addition, we hope that the findings of this analysis represent the first step towards developing a framework for appraising the composition of mechanistic theories. (shrink)

Causation is important when considering: how an organism maintains health; why disease arises in a healthy person; and, how one may intervene to change the course of a disease. This paper explores the form of causative relationships in health, disease and intervention, with particular regard to the pathological and biopsychosocial models. Consistent with the philosophical view of dispositionalism, we believe that objects are the fundamental relata of causation. By accepting the broad scope of the biopsychosocial model, we argue that psychological (...) and social constructs be considered objects. We think that this ‘biopsychosocial dispositionalism’ offers the flexibility required to describe causation throughout health, disease and intervention pathways. When constructing mechanistic chains to describe causative pathways, we argue that an object will causally connect with others through actions; transfers of energy from one object to another, initiated by the manifestation of one or more dispositional property. Finally, our analysis of causative interactions utilises the concept that a common form of interaction exists between disease and intervention pathways. This common form will always be an object, but the mode of interaction will vary with each disease. We describe how intervention may act through objects being shared between converging mechanistic chains, or through the removal and/or insertion of objects in such chains. We believe that this analysis provides novel insight to the forms of causative transactions that can occur. In addition, we hope that the findings of this analysis represent the first step towards developing a framework for appraising the composition of mechanistic theories. (shrink)

This essay explores various problematical aspects of Descartes' conservation principle for the quantity of motion (size times speed), particularly its largely neglected "dual role" as a measure of both durational motion and instantaneous "tendencies towards motion". Overall, an underlying non-local, or "holistic", element of quantity of motion (largely derived from his statics) will be revealed as central to a full understanding of the conservation principle's conceptual development and intended operation; and this insight can be of use in responding (...) to some of the recent and traditional criticisms of Descartes' physics. (shrink)

This essay explores various problematical aspects of Descartes’ conservation principle for the quantity of motion (size 3 speed), particularly its largely neglected “dual role” as a measure of both durational motion and instantaneous “tendencies towards motion.” Overall, an underlying non‐local, or “holistic,” element of quantity of motion (largely derived from his statics) will be revealed as central to a full understanding of the conservation principle’s conceptual development and intended operation; and this insight can be of use in responding (...) to some of the recent and traditional criticisms of Descartes’ physics. (shrink)

Misconceptions about energy conservation abound due to the gap between physics and secondary school chemistry. This paper surveys this difference and its relevance to the 1690s–2010s Leibnizian argument that mind-body interaction is impossible due to conservation laws. Justifications for energy conservation are partly empirical, such as Joule’s paddle wheel experiment, and partly theoretical, such as Lagrange’s statement in 1811 that energy is conserved if the potential energy does not depend on time. In 1918 Noether generalized results like Lagrange’s and (...) proved a converse: symmetries imply conservation laws and vice versa. Conservation holds if and only if nature is uniform. The rise of field physics during the 1860s–1920s implied that energy is located in particular places and conservation is primordially local: energy cannot disappear in Cambridge and reappear in Lincoln instantaneously or later; neither can it simply disappear in Cambridge or simply appear in Lincoln. A global conservation law can be inferred in some circumstances. Einstein’s General Relativity, which stimulated Noether’s work, is another source of difficulty for conservation laws. As is too rarely realized, the theory admits conserved quantities due to symmetries of the Lagrangian, like other theories. Indeed General Relativity has more symmetries and hence more conserved energies. An argument akin to Leibniz’s finally gets some force. While the mathematics is too advanced for secondary school, the ideas that conservation is tied to uniformities of nature and that energy is in particular places, are accessible. Improved science teaching would serve the truth and enhance the social credibility of science. (shrink)

The paper interprets the concept “operator in the separable complex Hilbert space” (particalry, “Hermitian operator” as “quantity” is defined in the “classical” quantum mechanics) by that of “quantum information”. As far as wave function is the characteristic function of the probability (density) distribution for all possible values of a certain quantity to be measured, the definition of quantity in quantum mechanics means any unitary change of the probability (density) distribution. It can be represented as a particular case (...) of “unitary” qubits. The converse interpretation of any qubits as referring to a certain physical quantity implies its generalization to non-Hermitian operators, thus neither unitary, nor conserving energy. Their physical sense, speaking loosely, consists in exchanging temporal moments therefore being implemented out of the space-time “screen”. “Dark matter” and “dark energy” can be explained by the same generalization of “quantity” to non-Hermitian operators only secondarily projected on the pseudo-Riemannian space-time “screen” of general relativity according to Einstein's “Mach’s principle” and his field equation. (shrink)

In 1924, Bohr, Kramers and Slater tried to introduce into microphysics conservation principles that hold only on the average. This attempt was abandoned in the light of the Compton-Simon experiment. Since that time, except for a moment of doubt in 1936, it has been thought that the classical conservation laws hold in quantum theory for each individual interaction, in a way that yields the classical exchange-and-balance of momentum familiar from the laws of elastic collisions. It has been thought, that is, (...) that in each individual “collision” what one part of the total system loses in linear momentum another part gains, so as to maintain the same total amount afterwards as before. To those familiar with discussions of the interpretation of quantum theory, however, it will be apparent that the very concepts needed to express this idea of an elastic collision are generally not admitted in the theory. For one needs the idea that both before and after collision the total system has a well-defined value for the conserved quantity and, moreover, that the various component parts of the system have well-defined values for those quantities out of which the conserved one is composed. But in the case of spin, for example, it is customary to say that although total spin may be conserved in certain interactions one cannot attribute values to the separate components of spin because the associated operators do not commute. Moreover, one does not generally refer to the values of quantities except in eigenstates. Hence, in general, one would not refer to the value of the conserved quantity before and after interaction, except for interactions initiated in eigenstates. (shrink)

A conservation principles tell us that some quantity, quality, or aspect remains constant through change. Such principles appear already in ancient and medieval natural philosophy. In one important strand of Greek cosmology, the rotatory motion of the celestial orbs is eternal and immutable. In optics, from at least the time of Euclid, the angle of reflection is equal to the angle of incidence when a ray of light is reflected. According to some versions of the medieval impetus theory of (...) motion, impetus remains in a projected body (and the associated motion persists) permanently unless the body is subject to outside interference. These examples could be multiplied. But it was in the seventeenth century that conservation principles began to play an absolutely central role in scientific theories. Each of Galileo Galilei, René Descartes, Christiaan Huygens, Gottfried Leibniz, and Isaac Newton founded his approach to physics upon the principle of inertia—that unless interfered with a body will undergo uniform rectilinear motion. A multitude of other conservation principles gained currency during the seventeenth century—some still with us, some long ago left behind. Descartes provides an interesting example of an author who attempted to derive all of his physical principles from conservation laws (Principles of Philosophy, see especially articles 36 to 42 of Part II). Descartes believed that the principles of his physics could be derived from the immutability of God, supplemented only by very weak assumptions about the existence of change in the world. He claims, in fact, that we ought to postulate the strongest conservation laws consistent with such change. These include. (shrink)

Consensus in the contemporary philosophical literature has it that conserved quantity theories of causation such as that of Dowe [2000]—according to which causation is to be analysed in terms of the exchange of conserved quantities (e.g., energy)—face damning problems when confronted with contemporary physics, where the notion of conservation becomes delicate. In particular, in general relativity it is often claimed that there simply are no conservation laws for (say) total-stress energy. If this claim is correct, it is (...) difficult to see how conserved quantity theories of causation could survive. In this article, we resist the above consensus and defend conserved quantity theories from this conclusion, at least when focusing on the apparent problems posed by general relativity. We argue that this approach to causation can continue to be defended in general relativity, once one appreciates (a) the availability of approximate symmetries in generic general relativistic spacetimes, and (b) the role of modelling and idealisation in that theory. Given these points, conserved quantity theories of causation must stand or fall on other grounds. (shrink)

We show that it is possible to consider parity and time reversal, as basic geometric symmetry operations, as being absolutely conserved. The observations of symmetry-violating pseudoscalar quantities can be attributed to the fact that some particles, due to their internal structure, are not eigenstates of parity or CP, and there is no reason that they should be. In terms of a model it is shown how, in spite of this, pseudoscalar terms are small in strong interactions. The neutrino plays (...) an essential role in these considerations. (shrink)

The conservation of energy and momentum have been viewed as undermining Cartesian mental causation since the 1690s. Modern discussions of the topic tend to use mid-nineteenth century physics, neglecting both locality and Noether’s theorem and its converse. The relevance of General Relativity has rarely been considered. But a few authors have proposed that the non-localizability of gravitational energy and consequent lack of physically meaningful local conservation laws answers the conservation objection to mental causation: conservation already fails in GR, so there (...) is nothing for minds to violate. This paper is motivated by two ideas. First, one might take seriously the fact that GR formally has an infinity of rigid symmetries of the action and hence, by Noether’s first theorem, an infinity of conserved energies-momenta. Second, Sean Carroll has asked how one should modify the Dirac–Maxwell–Einstein equations to describe mental causation. This paper uses the generalized Bianchi identities to show that General Relativity tends to exclude, not facilitate, such Cartesian mental causation. In the simplest case, Cartesian mental influence must be spatio-temporally constant, and hence 0. The difficulty may diminish for more complicated models. Its persuasiveness is also affected by larger world-view considerations. The new general relativistic objection provides some support for realism about gravitational energy-momentum in GR. Such realism also might help to answer an objection to theories of causation involving conserved quantities, because energies-momenta would be conserved even in GR. (shrink)

The notions of conservation and relativity lie at the heart of classical mechanics, and were critical to its early development. However, in Newton’s theory of mechanics, these symmetry principles were eclipsed by domain-specific laws. In view of the importance of symmetry principles in elucidating the structure of physical theories, it is natural to ask to what extent conservation and relativity determine the structure of mechanics. In this paper, we address this question by deriving classical mechanics—both nonrelativistic and relativistic—using relativity and (...) conservation as the primary guiding principles. The derivation proceeds in three distinct steps. First, conservation and relativity are used to derive the asymptotically conserved quantities of motion. Second, in order that energy and momentum be continuously conserved, the mechanical system is embedded in a larger energetic framework containing a massless component that is capable of bearing energy. Imposition of conservation and relativity then results, in the nonrelativistic case, in the conservation of mass and in the frame-invariance of massless energy; and, in the relativistic case, in the rules for transforming massless energy and momentum between frames. Third, a force framework for handling continuously interacting particles is established, wherein Newton’s second law is derived on the basis of relativity and a staccato model of motion-change. Finally, in light of the derivation, we elucidate the structure of mechanics by classifying the principles and assumptions that have been employed according to their explanatory role, distinguishing between symmetry principles and other types of principles that are needed to build up the theoretical edifice. (shrink)

Most aspects of agriculture in Cuba prior to 1989 were comparable to California: a high energy input, conventional agriculture (based on what the Cubans now call the “classical model”) in which little was done to protect the nation's soils from erosion, loss of fertility, salinization, and other forms of degradation. In stark contrast the new “Alternative Model,” which has been rapidly replacing the previous model since 1989, emphasizes soil conservation and rehabilitation and the general improvement of the nation's soils as (...) the key to sustaining low-input production and attainment of food security. One of the first steps in implementing the new model was the launching of an ambitious program to reclassify, evaluate, and map the nation's soils in great detail, and to interpret the maps for management of sustainable production. A main feature of this program is coordinated fertility trials to determine, for each combination of crop and soil, the minimum quantity of plant nutrients needed to produce the crop. The build up and maintenance of soil fertility and productivity is being accomplished with various organic and mineral amendments and biofertilizers, produced or mined within the country (locally, where possible) and through rational management utilizing cover crops, green manures, crop successions (intercropping and rotations), and other appropriate technologies. Rehabilitation of degraded soils, tillage reduction, reforestation, vermiculture, vermicomposting, and other forms of waste cycling are other features of the new model that are important to soil conservation and maintenance for sustainable production. (shrink)

The notions of conservation and relativity lie at the heart of classical mechanics, and were critical to its early development. However, in Newton’s theory of mechanics, these symmetry principles were eclipsed by domain-specific laws. In view of the importance of symmetry principles in elucidating the structure of physical theories, it is natural to ask to what extent conservation and relativity determine the structure of mechanics. In this paper, we address this question by deriving classical mechanics—both nonrelativistic and relativistic—using relativity and (...) conservation as the primary guiding principles. The derivation proceeds in three distinct steps. First, conservation and relativity are used to derive the asymptotically conserved quantities of motion. Second, in order that energy and momentum be continuously conserved, the mechanical system is embedded in a larger energetic framework containing a massless component that is capable of bearing energy. Imposition of conservation and relativity then results, in the nonrelativistic case, in the conservation of mass and in the frame-invariance of massless energy; and, in the relativistic case, in the rules for transforming massless energy and momentum between frames. Third, a force framework for handling continuously interacting particles is established, wherein Newton’s second law is derived on the basis of relativity and a staccato model of motion-change. Finally, in light of the derivation, we elucidate the structure of mechanics by classifying the principles and assumptions that have been employed according to their explanatory role, distinguishing between symmetry principles and other types of principles that are needed to build up the theoretical edifice. (shrink)

Theoretical and experimental studies on prey–predator systems where predator is supplied with alternate sources of food have received significant attention over the years due to their relevance in achieving biological conservation and biological control. Some of the outcomes of these studies suggest that with appropriate quality and quantity of additional food, the system can be steered towards any desired state eventually with time. One of the limitations of previous studies is that the desired state is reached asymptotically, which makes (...) the outcomes not easily applicable in practical scenarios. To overcome this limitation, in this work, we formulate and study optimal control problems to achieve the desired outcomes in minimum (finite) time. We consider two different models of additional food provided prey–predator systems involving Holling type IV functional response (with inhibitory effect of prey). In the first scenario, additional food is incorporated implicitly into the predator’s functional response with a possibility of achieving biological conservation through co-existence of species and biological control by maintaining prey at a level that is least harmful to the system. In the second, the effect of additional food is incorporated explicitly into the predator’s compartment with the goal of pest management by maintaining prey density at a very minimal damaging level. For both cases, appropriate optimal control strategies are derived and the theoretical findings are illustrated by numerical simulations. We also discuss the ecological significance of the theoretical findings for both models. (shrink)

Conservation has often been conducted with the implicit internalization of Aldo Leopold’s claim: “A thing is right when it tends to preserve the integrity, stability and beauty of the biotic community.” This position has been found to be problematic as ecological science has not vindicated the ecological community as an entity which can be stable or coherent. Ecological communities do not form natural kinds, and this has forced ecological scientists to explain ecology in a different manner. Individualist approaches to ecological (...) systems have gained prominence. Individualists claim that ecological systems are better explained at the population level rather than as whole communities. My thesis looks at the implications of the current state of ecological science on conservation biology and emphasizes the importance of biodiversity as assessed at the population level. I defend the position that biodiversity should represent taxonomy and be quantified in reference to phylogenetic structure. This is a defence of biodiversity realism, which conceives of biodiversity as a natural quantity in the world which is measurable, valuable to prudent agents, and causally salient to ecological systems. To address how biodiversity at the population level relates to larger ecological systems I create a methodology designed to identify the relevant ecological system which biodiversity maintains and is maintained by biodiversity. This is done through the context dependent modelling of causal networks indexed to populations. My causal modelling methodology is then utilized to explicate ecological functions. These chapters together provide a framework for conservation science, which can then be applied to novel problems. The final section of the thesis utilises this framework to address whether de-extinction is a worthwhile conservation technique. (shrink)

In his book, "Water into Wine," Robert Larmer argues that miracles can occur as divine interventions in the world without involving any change or suspension of the laws of nature. They may do this by the direct creation or destruction of some of the basic ’stuff’ of the universe, while it continues to conform to the unaltered laws. This paper, on the contrary, claims that conservation is essential to the concept of the ’stuff’ as being basic, and that changes in (...) its total quantity therefore undermine the laws of nature just as seriously as any other conflicting evidence. (shrink)

In 1918, Emmy Noether published a (now famous) theorem establishing a general connection between continuous 'global' symmetries and conserved quantities. In fact, Noether's paper contains two theorems, and the second of these deals with 'local' symmetries; prima facie, this second theorem has nothing to do with conserved quantities. In the same year, Hermann Weyl independently made the first attempt to derive conservation of electric charge from a postulated gauge symmetry. In the light of Noether's work, it is puzzling (...) that Weyl's argument uses local gauge symmetry. This paper explores the relationships between Weyl's work, Noether's two theorems, and the modern connection between gauge symmetry and conservation of electric charge. This includes showing that Weyl's connection is essentially an application of Noether's second theorem, with a novel twist. (shrink)

According to quantum mechanics, the informational content of isolated systems does not change in time. Considering composite systems, it would be very useful to identify suitable indicators able to quantify the informational content of the single parts and to describe their evolution through balance equations, as it happens in the case of energy. Reasoning on the basic concepts of quantum mechanics, we show that there is an intrinsic quantum information encoded in the coherence of quantum states. Such information is measured (...) by a function, called here coherent entropy, which turns out to be complementary to the von-Neumann entropy. We show that the total quantum information of multipartite systems is determined by the coherent entropy of the single subsystems plus their mutual information. Interestingly, the coherent entropy is found to be equal to the information conveyed in the future by quantum states, providing a further inspiring interpretation to this quantity. The vision proposed in this paper also suggests a natural and simple definition of an indicator for nonlocal correlations. (shrink)

The study of the interrelationship between ethnomedicinal knowledge and socio-cultural values needs to be studied mainly for the simple reason that culture is not only the ethical imperative for development, it is also the condition of its sustainability; for their exists a symbiotic relationship between habitats and cultures. The traditional communities around Binsar Wildlife Sanctuary of Uttarakhand state in India have a rich local health care tradition, which has been in practice for the past hundreds of years. The present study (...) documents the Ethnomedicinal uses of 54 medicinal and aromatic plants (MAPs) along with their botanical and vernacular names, family, habit, habitat, threat status, collection season, purpose of collection, quantity, conservation practices, market potential and part(s) used in traditional health care system. The documented species belonging to 38 families have been used to cure more than 47 different kinds of ailments. These MAPs collected from the wild in a particular season and used as per the method prescribed by traditional herbal healers (Vaidyas) that provide effective results. Perception of local people during field trips based on socio-demographic characters showed them to prefer herbal system of treatments and they understood the status of traditional health care systems in the region. The study reveals that approximately 70 % population of the study area depend on herbal systems of treatments and preferred to visit Vaidyas for curing a variety of ailments because the traditional system of medicine is one of the most important prevailing systems in the region where modern health care facilities are rare or in very poor conditions. The organic cultivation practices of selected MAPs were demonstrated to rural inhabitants through capacity building training program and participatory action research framework approaches for sustainability and enhancement of livelihood security. A series of workshops and village level meetings on traditional health care systems were organized and forming/registered a strong association of Vaidyas for making their traditional system of health care more practical and effective. The study emphasizes the potentials of the ethnomedicinal research, conservation practices, socio-cultural and religious ethics for promoting traditional plants based treatments and also the need to document the indigenous knowledge for scientific validation before its industrial application. (shrink)

Here I reexamine Duhem's question of the continuity between medieval dynamics and early modern conservation theories. I concentrate on the heavens. For Aristotle, the motions of the heavens are eternally constant (and thus mathematizable) because an eternally constant divine Reason is their mover. Duhem thought that impetus and conservation theories, by extending sublunar mechanics to the heavens, made a divine renewer of motion redundant. By contrast, I show how Descartes derives his law of conservation by extending Aristotelian celestial dynamics to (...) the earth. Descartes argues that motion is intrinsically linear, not circular. But he agrees that motion is mathematically intelligible only where divine Reason moves bodies in a constant and eternal motion. Descartes strips bodies of active powers, leaving God as the only natural mover; thus both celestial and sublunar motions are constant, and uniformly mathematizable. The law of conservation of the total quantity of motion is an attempt to harmonize the constancy derived a priori with the phenomenal inconstancy of sublunar motions. (shrink)

Provision of additional food supplements for the purpose of biological conservation has been widely researched both theoretically and experimentally. The study of these biosystems is usually done using predator–prey models. In this paper, we consider an additional food provided predator–prey system in the presence of the inhibitory effect of the prey. This model is analyzed in the control parameter space using the control parameters, quality and quantity of additional food. The findings suggest that with appropriate choice of additional food (...) to predators, the biosystem can be controlled and steered to a desirable state. It is also possible to eliminate either of the interacting species. The vital role of the quality and quantity of the additional food in the system dynamics cautions the eco manager on the choice of the additional food for realizing the goal in the biological conservation programme. (shrink)

The traditional (Leibnizian) reading of Descartes on mind-body interaction is given a more rigorous reformulation, explaining how Descartes could assert that the mind while not affecting the quantity of motion in the world could change its direction. It is shown, contrary to the trend in recent literature, that this reading has a reliable textual base, and it is argued that it attributes to Descartes a philosophical position of more substance and interest. The kind of interpretation favored depends on the (...) status that the reader attributes to the assertion of the causal closer of the material world. (shrink)

This paper is an attempt to construct a bridge between dialectics and mathematics, to interpret main dialectical laws in terms of the theory of dynamical systems. Negation is interpreted as a discrete shift along the dynamical system trajectory. For conservative systems, double negation law is trivial as in formal logic; for non-conservative systems, this law means slow evolution of the system under consideration. There are also mathematical interpretations for the transition from quantity to quality and interconnection between opposites.

While the precipitous decline of biodiversity threatens life-sustaining processes and vast segments of the human population, concern about its loss remains extremely shallow. Nearly all motivational campaigns falsely assume that upon appreciating the relevant information, people will be sufficiently motivated to do something. But rational argumentation is doomed to fail, for there exists a motivational gap between a comprehension of the crisis and action taken based upon such knowledge. The origin of the gap lies neither in the quantity and (...) quality of information on the crisis, nor in the putative confl ict between self-interest and morality. Instead, it lies in “remoteness conditions” which dissociate decision-makers from ecological damage and enfeeble incentive to correct it. The centralremoteness conditions are spatial, temporal, and consequential. They can be eliminated by concretizing and particularizing earth others. While direct-experience, place-based educational programs satisfy the criteria, they are uncommon. There is also little opportunity for working adultsto engage in these sorts of activities. As such, the outlook for endangered species and humans in the developing world remains dire. (shrink)

While the precipitous decline of biodiversity threatens life-sustaining processes and vast segments of the human population, concern about its loss remains extremely shallow. Nearly all motivational campaigns falsely assume that upon appreciating the relevant information, people will be sufficiently motivated to do something. But rational argumentation is doomed to fail, for there exists a motivational gap between a comprehension of the crisis and action taken based upon such knowledge. The origin of the gap lies neither in the quantity and (...) quality of information on the crisis, nor in the putative conflict between self-interest and morality. Instead, it lies in “remoteness conditions” which dissociate decision-makers from ecological damage and enfeeble incentive to correct it. The central remoteness conditions are spatial, temporal, and consequential. They can be eliminated by concretizing and particularizing earth others. While direct-experience, place-based educational programs satisfy the criteria, they are uncommon. There is also little opportunity for working adultsto engage in these sorts of activities. As such, the outlook for endangered species and humans in the developing world remains dire. (shrink)

The conserved quantities theory of causation (CQTC) attempts to use physics as the basis for an account of causation. However, a closer examination of the physics involved in CQTC reveals several critical failures. Some of the conserved quantities in physics cannot be used to distinguish causal interactions. Other conserved quantities cannot always be the properties of fields or particles. Finally, CQCT does not account for causal interactions that are static.

The transference theory reduces causation to the transmission of physical conserved quantities, like energy or momenta. Although this theory aims at applying to all felds of physics, we claim that it fails to account for a quantum electrodynamic effect, viz. the Aharonov-Bohm effect. After having argued that the Aharonov-Bohm effect is a genuine counter-example for the transference theory, we offer a new physicalist approach of causation, ontic and modal, in which this effect is embedded.

In the paper we construct a new kind of fractional dynamical model, i.e. the fractional relativistic Yamaleev oscillator model, and explore its dynamical behaviors. We will find that the fractional relativistic Yamaleev oscillator model possesses Lie algebraic structure and satisfies generalized Poisson conservation law. We will also give the Poisson conserved quantities of the model. Further, the relation between conserved quantities and integral invariants of the model is studied and it is proved that, by using the Poisson (...) class='Hi'>conserved quantities, we can construct integral invariants of the model. Finally, the stability of the manifold of equilibrium states of the fractional relativistic Yamaleev oscillator model is studied. The paper provides a general method, i.e. fractional generalized Hamiltonian method, for constructing a family of fractional dynamical models of an actual dynamical system. (shrink)