In this study, complex dynamics of Briggs–Rauscher reaction system is investigated analytically and numerically. First, the Briggs–Rauscher reaction system is reduced into a new nonlinear parametric oscillator. The Melnikov method is used to derive the condition of the appearance of horseshoe chaos in the cases ω = Ω and ω ≠ Ω. The performed numerical simulations confirm the obtained analytical predictions. Second, the prediction of coexisting attractors is investigated by solving numerically the new nonlinear parametric ordinary differential equation (...) via the fourth-order Runge–Kutta algorithm. As results, it is found that the new nonlinear chemical system displays various coexisting behaviors of symmetric and asymmetric attractors. In addition, the system presents a rich variety of bifurcations phenomena such as symmetry breaking, symmetry restoring, period doubling, reverse period doubling, period-m bubbles, reverse period-m bubbles, intermittency, and antimonotonicity. On the contrary, emerging chaotic band attractors and period-1, period-3, period-9, and period-m bubbles routes to chaos occur in this system. (shrink)

This landmark work provides a systematic introduction to systems of modal logic and stands as the first presentation of what have become central ideas in philosophy of language and metaphysics, from the "new theory of reference" and non-linguistic necessity and essentialism to "Kripke semantics.".

Appearing in English for the first time, Schelling’s 1842 lectures develop the idea that many philosophical concepts are born of religious-mythological notions.

This volume provides an extensive translation of the notes and fragments that survived Kant's death in 1804. These include marginalia, lecture notes, and sketches and drafts for his published works. They are important as an indispensable resource for understanding Kant's intellectual development and published works, casting fresh light on Kant's conception of his own philosophical methods and his relations to his predecessors, as well as on central doctrines of his work such as the theory of space, time and categories, the (...) refutations of scepticism and metaphysical dogmatism, the theory of the value of freedom and the possibility of free will, the conception of God, the theory of beauty, and much more. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 39.2 (2001) 300-302 [Access article in PDF] Louden, Robert. Kant's Impure Ethics: From Rational Beings to Human Beings. New York: Oxford University Press, 2000. Pp. 272. Cloth, $45.00. Kant's Impure Ethics sounds like the title of a very short book. Kant, strenuous advocate of purging everything empirical from moral theory in order to reveal the pure moral law a priori, is assumed by (...) many to reject impure ethics. Louden sets out to correct that image of Kant. Not only does Kant offer some impure, by which Louden means [End Page 300] empirical, ethics, Kant requires it in order for his moral system to work. Louden argues that impure ethics is an integral part of Kant's ethical project. Since as rational beings human beings are obligated to create a realm of ends, they need to be shown the specific manner in which they can create this moral realm in the specific world they inhabit. This impure ethics is never more than an application of the pure ethics and is not itself the source of any moral norms; Kant does not study human nature in order to establish or justify moral principles. Nor is impure ethics a sharpening of general duties to interpret them for our particular species or even groups within the species; Kant is not arguing that women or the French have duties peculiar to them. Rather impure ethics concerns the manner in which human beings can make morality efficacious in human life. Empirical knowledge of human beings can help determine the proper paths for humans to take in creating the realm of ends. Louden insists, as do some other recent commentators, that it is misleading to view the categorical imperative in isolation. Instead, Kant intended the categorical imperative to be understood in light of the development of a virtuous character. In its broadest sense the impure ethics concerns how all humans can develop that virtuous character.Kant himself divides philosophical ethics into the pure metaphysics of morals and the empirical, or impure, anthropology (in the "Preface" to the Groundwork among other places), but readers would look in vain for a single work by Kant which would fit under the latter heading. The Anthropology from a Pragmatic Point of View, the most plausible candidate for such a text, contains much material only peripherally related to ethics and very little discussing specific moral applications. Given this lack of a published focus on the empirical side of Kant's ethics, Louden searches the Kantian corpus of books, essays, students' lecture notes, and the Reflexionen to collect relevant material. He finds five "fields of impurity": education, anthropology, art, religion, and history. Louden does an excellent service to Kant scholarship by drawing together these disparate sources and topics to highlight little-known areas of interest to Kant such as education reform and the role of an established church in promoting virtue. He defends Kant's theory against some charges of sexism and racism by noting that, although Kant was sexist and racist, he did always include all members of the species in his claims that moral progress would ultimately encompass everyone. The most worthwhile aspect of these particular discussions is the way Louden draws them together under a common theme pervading Kant's empirical ethics: the central role of progress. To work toward a realm of ends, human beings need to institute certain institutions in order to cultivate, civilize, and moralize themselves. These institutions will help to train individuals in the arts and sciences as a propaedeutic to ethical practices. The study of history shows that humans are destined to progress toward perfection, but actual progress depends upon concrete action. One is puzzled that here Louden includes Kant's discussion of a league of nations but not his direct political philosophy enjoining individuals to enter and support a state, the most important institution encountered in all of Kant's practical philosophy. Nonetheless Louden succeeds in revealing a unity in Kant's scattered hints on various topics.In the end, Louden concludes... (shrink)

With precision and profundity born of 30 years of devoted study, John Boyle offers an essential introduction to St. Thomas Aquinas on Scripture, shedding helpful light on the goals, methods, and commitments that animate the Angelic Doctor's engagement with the sacred page. Because the genius of St. Thomas's approach to the Bible lies not so much in its novelty but rather in the fidelity and clarity with which he recapitulates the riches of the preceding interpretive Tradition, this initiation into St. (...) Thomas's vision of Scripture is itself an orientation to the Church's vision of Scripture, from the Fathers through and beyond the Middle Ages. St. Thomas's embeddedness within the Church's Tradition and his own historical context is integral to his approach to Scripture, yet it sets him at some distance from modern readers, for whom his interpretive vision may seem perplexing or even impenetrable. In this Primer, Boyle first provides an acclimation to this medieval context through a survey and explanation of pertinent technical terminology used by St. Thomas and characteristic of the scholastic theology of the time. With an eye to the medieval practice of considering Scripture according to the fourfold division of causes, Boyle builds on this initial foundation by exploring in turn St. Thomas's accounts of the end or use of Scripture (final cause), its divine and human authorship (efficient cause), its order and division (material cause), and its literary styles or genres (formal cause). Drawing on writings from across St. Thomas's corpus, but especially his work On the Commendation and Division of Sacred Scripture and the prologues to his biblical commentaries, Boyle masterfully elucidates both the hermeneutical principles and deep wisdom of the Angelic Doctor's approach to Scripture, imparting invaluable guidance not only for reading and understanding St. Thomas and other great masters of the Tradition, but also-and ultimately-for understanding Scripture in light of this Tradition and reading it with greater benefit and joy. (shrink)

This book is the first translation into English of the Reflections which Kant wrote whilst formulating his ideas in political philosophy: the preparatory drafts for Theory and Practice, Toward Perpetual Peace, the Doctrine of Right, and Conflict of the Faculties; and the only surviving student transcription of his course on Natural Right. Through these texts one can trace the development of his political thought, from his first exposure to Rousseau in the mid 1760s through to his last musings in the (...) late 1790s after his final system of Right was published. The material covers such topics as the central role of freedom, the social contract, the nature of sovereignty, the means for achieving international peace, property rights in relation to the very possibility of human agency, the general prohibition of rebellion, and Kant's philosophical defense of the French Revolution. (shrink)

In this comprehensive assessment of Kant's metaethics, Frederick Rauscher shows that Kant is a moral idealist rather than a moral realist and argues that Kant's ethics does not require metaphysical commitments that go beyond nature. Rauscher frames the argument in the context of Kant's non-naturalistic philosophical method and the character of practical reason as action-oriented. Reason operates entirely within nature, and apparently non-natural claims - God, free choice, and value - are shown to be heuristic and to reflect (...) reason's ordering of nature. The book shows how Kant hesitates between a transcendental moral idealism with an empirical moral realism and a complete moral idealism. Examining every aspect of Kant's ethics, from the categorical imperative to freedom and value, this volume argues that Kant's focus on human moral agency explains morality as a part of nature. It will appeal to academic researchers and advanced students of Kant, German idealism and intellectual history. (shrink)

This study presents the evaluation of a computer-based learning program for children with developmental dyscalculia and focuses on factors affecting individual responsiveness. The adaptive training program Calcularis 2.0 has been developed according to current neuro-cognitive theory of numerical cognition. It aims to automatize number representations, supports the formation and access to the mental number line and trains arithmetic operations as well as arithmetic fact knowledge in expanding number ranges. Sixty-seven children with developmental dyscalculia from second to fifth grade (mean age (...) 8.96 years) were randomly assigned to one of two groups (Calcularis group, waiting control group). Training duration comprised a minimum of 42 training sessions à 20 minutes within a maximum period of 13 weeks. Compared to the waiting control group, children of the Calcularis group demonstrated a higher benefit in arithmetic operations and number line estimation. These improvements were shown to be stable after a 3-months post training interval. In addition, this study examines which predictors accounted for training improvements. Results indicate that this self-directed training was especially beneficial for children with low math anxiety scores and without an additional reading and/or spelling disorder. In conclusion, Calcularis 2.0 supports children with developmental dyscalculia to improve their arithmetical abilities and their mental number line representation. However, it is relevant to further adapt the setting to the individual circumstances. (shrink)

I defend the claim that Kant is a moral antirealist, or (as he would state it) moral idealist. I first define moral realism and moral idealism, concluding that moral idealism requires that every moral property depend upon the minds of moral agents. Kant's metaethical theory is idealist regarding the nature of value, since it depends upon the voluntary choices of moral agents in pursuing particular ends, the nature of right, since the categorical imperative stems from moral agents' own reason, and (...) the nature of moral agency, since freedom is construed in terms of the use of reason. (shrink)

This paper offers a new interpretation of Kant's puzzling claim that the B-Deduction in the Critique of Pure Reason should be considered as having two main steps. Previous commentators have tended to agree in general on the first step as arguing for the necessity of the categories for possible experience, but disagree on what the second step is and whether Kant even needs a second step. I argue that the two parts of the B-Deduction correspond to the two aspects of (...) a priori cognition: necessity and universality. The bulk of the paper consists of support for the second step, the universality of the categories. I show that Kant's arguments in the second half of the B-Deduction aim to define the scope of that universality for possible experience by considering the possibilities of divine intellectual intuition, of non-human kinds of sensible intuition, and of apperception of the self. In these ways Kant delimits the boundaries of the applicability of the categories and excludes any other possible experience for human beings. (shrink)

The aim of this collection is not to reject evolutionary psychology but to open up new vistas which students and researchers can use to ensure that evolutionary ...

"The chief business of twentieth-century philosophy” is “to reckon with twentieth-century history," claimed R. G. Collingwood. In this remarkable collection of essays, Frank Ankersmit demonstrates the prescience of that remark and goes a long way toward meeting its challenge. Responding to the work of Hayden White, Arthur Danto, and Hans-Georg Gadamer, he examines such issues as the difference between historical representation and artistic expression, the status of metaphor in historical description, and the relation of postmodernism to historicism. Ankersmit's fluent grasp (...) of European thought and his ability to incorporate concepts from literary theory, art history, the philosophy of science, and political thought into his analyses assure that this collection will interest readers throughout the humanities. (shrink)

Contrary to widely held assumptions, an evolutionary metaethics need not be non-cognitivist. I define evolutionary metaethics as the claim that certain phenotypic traits expressing certain genes are both necessary and sufficient for explanation of all other phenotypic traits we consider morally significant. A review of the influential cognitivist Immanuel Kants metaethics shows that much of his ethical theory is independent of the anti-naturalist metaphysics of transcendental idealism which itself is incompatible with evolutionary metaethics. By matching those independent aspects to an (...) evolutionary metaethics a cognitivist Kantian evolutionary metaethical theory is a possibility for researchers to consider. (shrink)

I find in Kant two distinct conceptions of the priority of practical over theoretical reason, focused on belief and on action. The former actually involves a higher priority of theoretical reason. The latter, in contrast, gives genuine priority to practical reason by noting that theoretical considerations are irrelevant in moral decision-making. I argue that the former conception requires one to abandon genuine priority of the practical, while the latter conception requires one to abandon the necessary unity of reason. I also (...) assess the work of two contemporary Kantian moral theorists, Christine Korsgaard and Onora O'Neill who utilize Kant's unofficial conception. (shrink)

Ethics for Enemies comprises three original philosophical essays on torture, terrorism, and war. F. M. Kamm deploys ethical theory in her challenging new treatments of these most controversial practical issues. First she considers the nature of torture and the various occasions on which it could occur, in order to determine why it might be wrong to torture a wrongdoer held captive, even if this were necessary to save his victims. In the second essay she considers what makes terrorism wrong--whether it (...) is the intention to harm civilians, rather than harm to them being 'collateral damage,' or something else--and whether terrorism is always wrong. The third essay discusses whether having a right reason, in the sense of a right intention, is necessary in order for a war to be just. Kamm then examines ways in which the harms of war can be proportional to the achievement of the just cause and other goods that war can bring about, so as to make the declaration of war permissible. (shrink)

From a more systematic point of view, the appendix is the final occasion for Kant to reinforce the role of the Critique of the Power of Judgment as part of the system of critical philosophy. It is true that in a sense each and every ...

This is an English translation of Schelling's Ideas for a Philosophy of Nature (first published in 1797 and revised in 1803), one of the most significant works in the German tradition of philosophy of nature and early nineteenth-century philosophy of science. It stands in opposition to the Newtonian picture of matter as constituted by inert, impenetrable particles, and argues instead for matter as an equilibrium of active forces that engage in dynamic polar opposition to one another. In the revisions of (...) 1803 Schelling incorporated this dialectical view into a neo-Platonic conception of an original unity divided upon itself. The text is of more than simply historical interest: its daring and original vision of nature, philosophy, and empirical science will prove absorbing reading for all philosophers concerned with post-Kantian German idealism, for scholars of German Romanticism, and for historians of science. (shrink)

O postulado prático da existência de Deus é problemático por várias razões: primeiro, Kant nega que ele proporciona qualquer cognição da natureza ou existência de Deus como um ser em si; segundo, ele salienta a natureza prática do postulado contribuindo para o desempenho de nossos deveres; e, terceiro, Kant parece mesmo algumas vezes indicar que nosso postulado de Deus não corresponde a nenhuma realidade, mas é um mero pensamento. No meu trabalho, eu sustento o argumento que o postulado de Kant (...) de Deus pode ser melhor entendido como um conceito sem extensão que serve para unificar vários outros conceitos e obrigações morais mas que ele próprio não tem referência. Eu sustento esse argumento apontando para a relação do postulado para o propósito da filosofia prática, em oposição à teórica e pelo exame da função regulativa da razão em geral e invocando a teologia construtivista contemporânea. A fim de mostrar este ponto eu primeiro analiso a natureza de um postulado comparando postulados a hipóteses transcendentais e crenças da Crítica da Razão Pura. Em segundo lugar, eu examino o uso que Kant faz do postulado da existência de Deus como sendo “imanente... para propósitos práticos” e “somente em referência à lei moral e em função dela” na Crítica da Razão Prática. Terceiro, eu procuro pela função que o postulado de Deus desempenha no Opus Postumum e em outros textos de 1790 para mostrar que Kant chegou mais e mais a argumentar pelo papel funcional ao invés do referencial desse postulado. Ao longo do trabalho, eu discuto a natureza da filosofia prática – direcionada ao uso livre das nossas vontades – como sendo distinta da filosofia teórica – dirigida ao conhecimento dos objetos. Eu mostro como essa solução pode fazer Kant um naturalista metafísico. Eu também entro em questões contemporâneas da teologia relacionadas com o papel humano na construção de sistemas conceituais para ajudá-los a fazer sentido ao mundo que eles experienciam no contexto de um mistério maior que desafia a conceitualização.Kant’s practical postulate for the existence of God is puzzling for several reasons: first, he denies that it provides any cognition of the existence or nature of God as a being in itself, second, Kant stresses the practical nature of the postulate as contributing to performance of our duties, and third, Kant even seems on occasion to indicate that our postulate of God does not correspond to any reality but is a merely a thought. In my paper I advance the argument that Kant’s postulate of God is best understood as an extensionless concept that serves to unify various other moral concepts and moral obligations but that has no referent itself. I make this argument by noting the relation of the postulate to the purpose of practical, as opposed to theoretical, philosophy, and by examination of the regulative role of reason in general, and by invoking contemporary constructivist theology. In order to show this point I first examine the nature of a postulate by comparing postulates to transcendental hypotheses and to beliefs from the Critique of Pure Reason. I second examine the use to which Kant puts the postulate of the existence of God as “immanent . . . for practical purposes” and “only in reference to the moral law and for the sake of it” in the Critique of Practical Reason. Third, I look at the role that the postulate of God plays in Kant’s Opus Postumum and other texts from the 1790s to show that Kant came more and more to argue that the postulates have this functional rather than referential role. Throughout the paper I discuss the nature of practical philosophy – directed toward the free use of our wills – as distingushed from theoretical philosophy – directed toward knowledge of objects. I note how this solution could make Kant a metaphysical naturalist. I also touch on contemporary issues in theology related to the role of human construction of systems of concepts to help them make sense of the world they experience in the context of a greater mystery that defies conceptualization. (shrink)