We introduce a framework that can be used to model both mathematics and human reasoning about mathematics. This framework involves stochastic mathematical systems (SMSs), which are stochastic processes that generate pairs of questions and associated answers (with no explicit referents). We use the SMS framework to define normative conditions for mathematical reasoning, by defining a “calibration” relation between a pair of SMSs. The first SMS is the human reasoner, and the second is an “oracle” SMS that can be interpreted as (...) deciding whether the question–answer pairs of the reasoner SMS are valid. To ground thinking, we understand the answers to questions given by this oracle to be the answers that would be given by an SMS representing the entire mathematical community in the infinite long run of the process of asking and answering questions. We then introduce a slight extension of SMSs to allow us to model both the physical universe and human reasoning about the physical universe. We then define a slightly different calibration relation appropriate for the case of scientific reasoning. In this case the first SMS represents a human scientist predicting the outcome of future experiments, while the second SMS represents the physical universe in which the scientist is embedded, with the question–answer pairs of that SMS being specifications of the experiments that will occur and the outcome of those experiments, respectively. Next we derive conditions justifying two important patterns of inference in both mathematical and scientific reasoning: (i) the practice of increasing one’s degree of belief in a claim as one observes increasingly many lines of evidence for that claim, and (ii) abduction, the practice of inferring a claim’s probability of being correct from its explanatory power with respect to some other claim that is already taken to hold for independent reasons. (shrink)

Critical race theorists and standpoint epistemologists argue that agents who are members of dominant social groups are often in a state of ignorance about the extent of their social dominance, where this ignorance is explained by these agents' membership in a socially dominant group (e.g., Mills 2007). To illustrate this claim bluntly, it is argued: 1) that many white men do not know the extent of their social dominance, 2) that they remain ignorant as to the extent of their dominant (...) social position even where this information is freely attainable, and 3) that this ignorance is due in part to the fact that they are white men. We argue that on Buchak's (2010, 2013) model of risk averse instrumental rationality, ignorance of one's privileges can be rational. This argument yields a new account of elite-group ignorance, why it may occur, and how it might be alleviated. (shrink)

Consider the following two (hypothetical) generic causal claims: “Living in a neighborhood with many families with children increases purchases of bicycles” and “living in an affluent neighborhood with many families with children increases purchases of bicycles.” These claims not only differ in what they suggest about how bicycle ownership is distributed across different neighborhoods (i.e., “the data”), but also have the potential to communicate something about the speakers’ values: namely, the prominence they accord to affluence in representing and making decisions (...) about the social world. Here, we examine the relationship between the level of granularity with which a cause is described in a generic causal claim (e.g., neighborhood vs. affluent neighborhood) and the value of the information contained in the causal model that generates that claim. We argue that listeners who know any two of the following can make reliable inferences about the third: 1) the level of granularity at which a speaker makes a generic causal claim, 2) the speaker’s values, and 3) the data available to the speaker. We present results of four experiments (N=1,323) in the domain of social categories that provide evidence in keeping with these predictions. (shrink)

Discovering high-level causal relations from low-level data is an important and challenging problem that comes up frequently in the natural and social sciences. In a series of papers, Chalupka etal. (2015, 2016a, 2016b, 2017) develop a procedure forcausal feature learning (CFL) in an effortto automate this task. We argue that CFL does not recommend coarsening in cases where pragmatic considerations rule in favor of it, and recommends coarsening in cases where pragmatic considerations rule against it. We propose a new technique, (...) pragmatic causal feature learning (PCFL), which extends the original CFL algorithm in useful and intuitive ways. We show that PCFL has the same attractive measure-theoretic properties as the original CFL algorithm. We compare the performance of both methods through theoretical analysis and experiments. (shrink)

This article considers the popular thesis that a more proportional relationship between a cause and its effect yields a more abstract causal explanation of that effect, which in turn produces a deeper explanation. This thesis is taken to have important implications for choosing the optimal granularity of explanation for a given explanandum. In this article, I argue that this thesis is not generally true of probabilistic causal relationships. In light of this finding, I propose a pragmatic, interest-relative measure of explanatory (...) depth. This measure uses a decision-theoretic model of information pricing to determine the optimal granularity of explanation for a given explanandum, agent, and decision problem. (shrink)

Formal and social epistemologists have devoted significant attention to the question of how to aggregate the credences of a group of agents who disagree about the probabilities of events. Moss and Pettigrew argue that group credences can be a linear mean of the credences of each individual in the group. By contrast, I argue that if the epistemic value of a credence function is determined solely by its accuracy, then we should, where possible, aggregate the underlying statistical models that individuals (...) use to generate their credence functions, using “stacking” techniques from statistics and machine learning first developed by Wolpert. (shrink)

Formal epistemology is a growing field of philosophical research. It is also evolving, with the subject matter of formal epistemology papers changing considerably over the past two decades. To quantify the ways in which formal epistemology is changing, I generate a stochastic block topic model of the abstracts of papers classified by PhilPapers.org as pertaining to formal epistemology. This model identifies fourteen salient topics of formal epistemology abstracts at a first level of abstraction, and four topics at a second level (...) of abstraction. I then study diachronic trends in the degree to which formal epistemology abstracts written in a given year are likely to contain words associated with a particular topic, beginning in 2000 and continuing to 2020. My findings suggest that there has been a marked decline in the likelihood of a given formal epistemology abstract being about logical approaches to belief revision. On the other hand, over the past two decades, the salience of probabilistic techniques in formal epistemology has increased, as has the salience of work at the intersection of formal epistemology and some areas of philosophy of science. (shrink)

The Problem of Old Evidence is a perennial issue for Bayesian confirmation theory. Garber famously argues that the problem can be solved by conditionalizing on the proposition that a hypothesis deductively implies the existence of the old evidence. In recent work, Hartmann and Fitelson :712–717, 2015) and Sprenger :383–401, 2015) aim for similar, but more general, solutions to the Problem of Old Evidence. These solutions are more general because they allow the explanatory relationship between a new hypothesis and old evidence (...) to be inductive, rather than deductive. In this paper, I argue that these solutions are either unsound or under-motivated, depending on the case of inductive explanation that we have in mind. This lends support to the broader claim that Garber–Style Bayesian confirmation cannot capture the sense in which new hypotheses that do not deductively imply old evidence nevertheless seem to be confirmed via old evidence. (shrink)

The Problem of Old Evidence is a perennial issue for Bayesian confirmation theory. Garber (Test Sci Theor 10:99–131, 1983) famously argues that the problem can be solved by conditionalizing on the proposition that a hypothesis deductively implies the existence of the old evidence. In recent work, Hartmann and Fitelson (Philos Sci 82(4):712–717, 2015) and Sprenger (Philos Sci 82(3):383–401, 2015) aim for similar, but more general, solutions to the Problem of Old Evidence. These solutions are more general because they allow the (...) explanatory relationship between a new hypothesis and old evidence to be inductive, rather than deductive. In this paper, I argue that these solutions are either unsound or under-motivated, depending on the case of inductive explanation that we have in mind. This lends support to the broader claim that Garber–Style Bayesian confirmation cannot capture the sense in which new hypotheses that do not deductively imply old evidence nevertheless seem to be confirmed via old evidence. (shrink)

This article considers the extent to which Bayesian networks with imprecise probabilities, which are used in statistics and computer science for predictive purposes, can be used to represent causal structure. It is argued that the adequacy conditions for causal representation in the precise context—the Causal Markov Condition and Minimality—do not readily translate into the imprecise context. Crucial to this argument is the fact that the independence relation between random variables can be understood in several different ways when the joint probability (...) distribution over those variables is imprecise, none of which provides a compelling basis for the causal interpretation of imprecise Bayes nets. I conclude that there are serious limits to the use of imprecise Bayesian networks to represent causal structure. (shrink)

In discussions of the power of causal explanations, one often finds a commitment to two premises. The first is that, all else being equal, a causal explanation is powerful to the extent that it cites the full causal history of why the effect occurred. The second is that, all else being equal, causal explanations are powerful to the extent that the occurrence of a cause allows us to predict the occurrence of its effect. This article proves a representation theorem showing (...) that there is a unique family of functions measuring a causal explanation’s power that satisfies these two premises. (shrink)

Proponents of various causal exclusion arguments claim that for any given event, there is often a unique level of granularity at which that event is caused. Against these causal exclusion arguments, causal ecumenists argue that the same event or phenomenon can be caused at multiple levels of granularity. This paper argues that the Bayesian network approach to representing the causal structure of target systems is consistent with causal ecumenism. Given the ubiquity of Bayesian networks as a tool for representing causal (...) structure in both philosophy of science and science itself, this result speaks in favor of the ecumenical view, and against rival exclusionary accounts. Gebharter’s (Philos Phenomenol Res 95(2):353–375, 2017) argument that the Bayes nets formalism is consistent with causal exclusion is considered and rebutted. (shrink)

Several authors have argued that non-extreme probabilities used in special sciences such as chemistry and biology can be objective chances, even if the true microphysical description of the world is deterministic. This article examines an influential version of this argument and shows that it depends on a particular methodology for defining the relationship between coarse-grained and fine-grained events. An alternative methodology for coarse-graining is proposed. This alternative methodology blocks this argument for the existence of emergent chances, and makes better sense (...) of two well-known subjects of philosophical discussion: the Miners Puzzle and Simpson’s Paradox. (shrink)

Curie’s Principle says that any symmetry property of a cause must be found in its effect. In this article, I consider Curie’s Principle from the point of view of graphical causal models, and demonstrate that, under one definition of a symmetry transformation, the causal modeling framework does not require anything like Curie’s Principle to be true. On another definition of a symmetry transformation, the graphical causal modeling formalism does imply a version of Curie’s Principle. These results yield a better understanding (...) of the logical landscape with respect to the relationship between Curie’s Principle and graphical causal modeling. (shrink)

This dissertation aims to determine the optimal level of granularity for the variables used in probabilistic causal models. These causal models are useful for generating explanations in a number of scientific contexts. In Chapter 1, I argue that there is rarely a unique level of granularity at which a given phenomenon can be causally explained, thereby rejecting various causal exclusion arguments. In Chapter 2, I consider several recent proposals for measuring the explanatory power of causal explanations, and show that these (...) measures fail to track the comparative depth of explanations given at different levels of granularity. In Chapter 3, I offer a pragmatic account of how to partition the measure space of a causal variable so as to optimally explain its effect. My account uses the decision-theoretic notion of value of information, and indexes the relative depth of an explanation to a particular agent faced with a particular decision problem. Chapter 4 applies this same decisiontheoretic framework to answer the epistemic question of how to discover constitutive relationships in nature. In Chapter 5, I describe the formal details of the relationship between random variables that are meant to be coarse-grained and fine-grained representations of the same type of phenomenon. I use this formal framework to rebut a popular argument for the view that special science probabilities can be objective chances. Chapter 6 discusses challenges related to the causal interpretation of Bayes nets that use imprecise rather than precise probabilities. (shrink)

We examine the epistemological foundations of a leading technique in the search for evidence of life on exosolar planets. Specifically, we consider the “transit method” for spectroscopic analysis of exoplanet atmospheres, and the practice of treating anomalous chemical compositions of the atmospheres of exosolar planets as indicators of the potential presence of life. We propose a methodology for ranking the anomalousness of atmospheres that uses the mathematical apparatus of support vector machines, and which aims to be agnostic with respect to (...) the particular chemical biosignatures of life. We argue that our approach is justified by an appeal to the “hinge” model of epistemic justification first proposed by as reported by Wittgenstein. We then compare our approach to previous work due to Walker et al. :779–824, 2018) and Cleland :722–729, 2019a; Does ‘life’ have a definition?, Cambridge University Press, New York, 2019b). (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Books ReceivedThe Ambitions of Curiosity: Understanding the World in Ancient Greece and China. By G.E.R. Lloyd. Cambridge: Cambridge University Press, 2002. Pp. xvi + 175. Price not given.The Art of the Han Essay: Wang Fu's Ch'ien-Fu Lun. By Anne Behnke Kinney. Tempe: Center for Asian Studies, Arizona State University, 1990. Pp. xi + 154. Paper $10.00.The Autobiography of Jamgön Kongtrul: A Gem of Many Colors. By Jamgön Kongtrul (...) Lodrön Thayé and translated by Richard Barron (Chökyi Nyima). Ithaca, New York: Snow Lion Publications, 2003. Pp. xxii + 549. Price not given.Awesome Nightfall: The Life, Times, and Poetry of Saigyō. By William R. LaFleur. Boston: Wisdom Publications, 2003. Pp. xiii + 173. Paper $14.95.Becoming the Compassion Buddha: Tantric Mahamudra for Everyday Life. By Lama Thubten Yeshe, edited by Robina Courtin, and foreword by Geshe Lhundub Sopa. Boston: Wisdom Publications, 2003. Pp. xi + 194. Paper $14.95.Between Two Worlds East and West: An Autobiography. By J. N. Mohanty. New Delhi: Oxford University Press, 2002. Pp. ix + 134. Hardcover RS 525.00.The Chinese Face of Jesus Christ. Edited by Roman Malek, S.V.D. Sankt Augustin, Germany: Institut Monumenta Serica and China-Zentrum; and Nettetal, Germany: Steyler Verlag, 2002. Pp. 391. EUR 40.00.Chinese Medicine in Contemporary China: Plurality and Synthesis. By Volker Scheid. Durham and London: Duke University Press, 2002. Pp. xiv + 407. Hardcover $69.95. Paper $23.95.Confucian Feminist: Memoirs of Zeng Baosun (1893-1978). Translated and adapted by Thomas L. Kennedy. Philadelphia: American Philosophical Society, 2002. Pp. xxi + 170. Price not given.Consciousness Studies: Cross-Cultural Perspectives. By K. Ramakrishna Rao. Jefferson (North Carolina) and London: McFarland and Company, 2002. Pp. 367. Hardcover $65.00.Constituting Communities: Theravāda Buddhism and the Religious Cultures of South and Southeast Asia. Edited by John Clifford Holt, Jacob N. Kinnard, and Jonathan S. Walters. Albany: State University of New York Press, 2003. Pp. viii + 224. Hardcover $65.50. Paper $21.95.Developments in Indian Philosophy from Eighteenth Century Onwards: Classical and Western. By Daya Krishna. Volume X Part 1 of History of Science, Philosophy and Culture in Indian Civilization, edited by D. P. Chattopadhyaya. New [End Page 110] Delhi: Centre for Studies in Civilizations, 2001. Pp. xxiii + 417. Hardcover RS 1200.East and West: Identità e dialogo interculturale. By Giangiorgio Pasqualotto. Venezia: Marsilo Editori, 2003. Pp. 210. EUR 16.00.Effortless Action: Wu-wei as Conceptual Metaphor and Spiritual Ideal in Early China. By Edward Slingerland. New York: Oxford University Press, 2003. Pp. xii + 352. Price not given.Encountering Kā lī: In the Margins, at the Center, in the West. Edited by Rachel Fell McDermott and Jeffrey J. Kripal. Berkeley and Los Angeles: University of California Press, 2003. Pp. xviii + 321. Hardcover $55.00, £37.95. Paper $21.95, £15.95.Encyclopedia of Chinese Philosophy. Edited by Antonio S. Cua. New York and London: Routledge, 2003. Pp. xx + 1020. Hardcover $150.00.Essays on Indian Philosophy. By J. N. Mohanty and edited by Purushottama Bilimoria. New Delhi: Oxford University Press, 2002. Pp. xxxvii + 347. Paper RS 525.00.Faith, Humor, and Paradox. By Ignacio L. Götz. Westport, Connecticut: Praeger Publishers, 2002. Pp. 136. Hardcover $61.95.Four Illusions: Candrakīrti's Advice for Travelers on the Bodhisattva Path. Translated by Karen C. Lang. New York: Oxford University Press, 2003. Pp. xv + 240. Price not given.The Great Awakening: A Buddhist Social Theory. By David R. Loy. Boston: Wisdom Publications, 2003. Pp. 223. Paper $16.95.The Hidden History of The Tibetan Book of the Dead. By Bryan J. Cuevas. New York: Oxford University Press, 2003. Pp. xi + 328. Price not given.Huang Di nei jing su wen: Nature, Knowledge, Imagery in an Ancient Chinese Medical Text. By Paul U. Unschuld. Berkeley and Los Angeles: University of California Press, 2003. Pp. xii + 520. Hardcover $75.00, £52.00.In Dewey's Wake: Unfinished Work of Pragmatic Reconstruction. Edited by William J. Gavin. Albany: State University of New York Press, 2003. Pp. vi + 249. Hardcover $71.50. Paper $23.95.Knowledge and Freedom in Indian Philosophy. By Tara Chatterjea. Lanham, Maryland: Lexington Books, 2002. Pp. xvi + 159. Hardcover... (shrink)

En este artículo abordo algunas coordenadas útiles para el análisis de la relación entre la filosofía y la fiscalidad. Mi reflexión apunta a señalar la pertinencia de una filosofía de los impuestos y, de esta manera, llamar la atención en la educación ciudadana requerida para dar forma a una razón pública democrática, veraz, crítica y atenta. Subrayo el carácter de donación que tiene el estado de derecho dentro de un régimen constitucional democrático, que depende de la tributación fiscal para alcanzar (...) los fines que se propone y, particularmente, los de una justicia distributiva de corte social. Distingo entre caridad y obligación política de justicia y mantengo que al implementar un efectivo “imperio de la ley” los ciudadanos nos donamos mecanismos y procedimientos que permiten avanzar un esquema de justicia imparcial. Esta donación no corresponde a la esfera de los deberes naturales, a la caridad o al sacrificio de los actos supererogatorios, sino que se expresa en programas institucionales cuya implementación y mantenimiento requiere que paguemos impuestos; pero siempre con base en el compromiso personal. Así, junto a John Rawls enfatizo el valor de la libertad. (shrink)

Digital piracy as a continuing problem significantly impacts various stakeholders, including consumers, enterprises, and countries. This study develops a three-level mechanism of determinants of consumer digital piracy behavior, with personal risk as an individual factor, susceptibility to interpersonal influence as an inter-personal factor, and moral intensity as a broad societal factor. Further, it explores the role of rationalization and future piracy intent as outcomes of past piracy behaviors. The authors use survey data from four countries in the European Union to (...) test the system of structural relationships. With an exception of the effect of consumers’ susceptibility to interpersonal influence on piracy behavior, the conceptual model receives remarkably consistent support across the four countries. Specifically, perception of personal risk and moral intensity negatively affected the reported piracy behavior in all four countries. The results further support the negative influence of moral intensity and the positive influence of past digital piracy behavior on consumers’ use of rationalization. Lastly, personal risk, rationalization, and past digital piracy behavior directly influenced consumers’ intention to engage in digital piracy in the future. The study also discusses implications of the findings and identifies areas of future research. (shrink)

David Lewis (1941-2001) was Class of 1943 University Professor of Philosophy at Princeton University. His contributions spanned philosophical logic, philosophy of language, philosophy of mind, philosophy of science, metaphysics, and epistemology. In On the Plurality of Worlds, he defended his challenging metaphysical position, "modal realism." He was also the author of the books Convention, Counterfactuals, Parts of Classes, and several volumes of collected papers.

The group of mathematicians known as Bourbaki persuasively proclaimed the isolation of its field of research – pure mathematics – from society and science. It may therefore seem paradoxical that links with larger French cultural movements, especially structuralism and potential literature, are easy to establish. Rather than arguing that the latter were a consequence of the former, which they were not, I show that all of these cultural movements, including the Bourbakist endeavor, emerged together, each strengthening the public appeal of (...) the others through constant, albeit often superficial, interaction. This codependency is partly responsible for their success and moreover accounts for their simultaneous fall from favor, which, however, can clearly be seen as also stemming from different internal problems. To understand this dynamics, I argue that Bourbaki’s role can best be captured by using the notion of cultural connector, which I introduce here. (shrink)

As a continuation of the work of the third author in [5], we make further observations on the features of Galois cohomology in the general model theoretic context. We make explicit the connection between forms of definable groups and first cohomology sets with coefficients in a suitable automorphism group. We then use a method of twisting cohomology (inspired by Serre’s algebraic twisting) to describe arbitrary fibres in cohomology sequences—yielding a useful “finiteness” result on cohomology sets. Applied to the special case (...) of differential fields and Kolchin’s constrained cohomology, we complete results from [3] by proving that the first constrained cohomology set of a differential algebraic group over a bounded, differentially large, field is countable. (shrink)

Discussions concerning whether there is a natural right to health care may occur in various forms, resulting in policy recommendations for how to implement any such right in a given society. But health care policies may be judged by international standards including the UN Universal Declaration of Human Rights. The rights enumerated in the UDHR are grounded in traditions of moral theory, a philosophical analysis of which is necessary in order to adjudicate the value of specific policies designed to enshrine (...) rights such as a right to health care. We begin with an overview of the drafting of the UDHR and highlight the primary influence of natural law theory in validating the rights contained therein. We then provide an explication of natural law theory by reference to the writings of Thomas Aquinas, as well as elucidate the complementary “capabilities approach” of Martha Nussbaum. We conclude that a right to health care ought to be guaranteed by the state. (shrink)

Philosophers of language have drawn on metamathematical results in varied ways. Extensionalist philosophers have been particularly impressed with two, not unrelated, facts: the existence, due to Frege/Tarski, of a certain sort of semantics, and the seeming absence of intensional contexts from mathematical discourse. The philosophical import of these facts is at best murky. Extensionalists will emphasize the success and clarity of the model theoretic semantics; others will emphasize the relative poverty of the mathematical idiom; still others will question the aptness (...) of the standard extensional semantics for mathematics. In this paper I investigate some implications of the Gödel Second Incompleteness Theorem for these positions. I argue that the realm of mathematics, proof theory in particular, has been a breeding ground for intensionality and that satisfactory intensional semantic theories are implicit in certain rigorous technical accounts. (shrink)

In this innovative study, Lea David critically investigates the relationship between human rights and memory, suggesting that, instead of understanding human rights in a normative fashion, human rights should be treated as an ideology. Conceptualizing human rights as an ideology gives us useful theoretical and methodological tools to recognize the real impact human rights has on the ground. David traces the rise of the global phenomenon that is the human rights memorialization agenda, termed 'Moral Remembrance', and explores what (...) happens once this agenda becomes implemented. Based on evidence from the Western Balkans and Israel/Palestine, she argues that the human rights memorialization agenda does not lead to a better appreciation of human rights but, contrary to what would be expected, it merely serves to strengthen national sentiments, divisions and animosities along ethnic lines, and leads to the new forms of societal inequalities that are closely connected to different forms of corruptions. (shrink)

Liberal thinkers of the eighteenth and nineteenth centuries were alert to the political costs and human cruelties involved in European colonialism, but they also thought that European expansion held out progressive possibilities. In Progress, Pluralism, and Politics David Williams examines the colonial and anti-colonial arguments of Adam Smith, Immanuel Kant, Jeremy Bentham, and L.T. Hobhouse. Williams locates their ambivalent attitude towards European conquest and colonial rule in a set of tensions between the impact of colonialism on European states, the (...) possibilities of progress in distant and diverse places, and the relationship between universalism and cultural pluralism. In so doing he reveals some of the central ambiguities that characterize the ways that liberal thought has dealt with the reality of an illiberal world. Of particular importance are appeals to various forms of universal history, attempts to mediate between the claims of identity and the reality of difference, and the different ways of thinking about the achievement of liberal goods in other places. Pointing to key elements in still ongoing debates within liberal states about how they should relate to illiberal places, Progress, Pluralism, and Politics enriches the discussion on political thought and the relationship between liberalism and colonialism. (shrink)

Introduction -- The end of history and the Kantian moment -- The progressive mind and the Islamist challenge -- The incoherence of the philosophers -- The language of progress and the closure of the European mind -- The networked global order -- All roads lead to China -- Maxims or axioms? -- The revenge of politics and the search for order -- Conclusion -- Afterword : the study of international relations and the erosion of acdemic integrity.

Thus, Meyers provides a valuable account, not only of current medical attitudes, but also of relevant case and statute law as it stands at present.

One of Hume's most well-known works and a masterpiece of philosophy, A Treatise of Human Nature is indubitably worth taking the time to read.

One of Hume's most well-known works and a masterpiece of philosophy, A Treatise of Human Nature is indubitably worth taking the time to read.

In this paper, we investigate the way in which French artillery engineers met the challenge of air drag in the nineteenth century. This problem was especially acute following the development of rifled barrels, when projectile initial velocities reached values much higher than the speed of sound in air. In these circumstances, the Newtonian approximation according to which the drag was a force proportional to the square of the velocity was not nearly good enough to account for experimental results. This prompted (...) a series of theoretical and experimental investigations aimed at determining the correct law of air resistance. Throughout the nineteenth century, contrary to what happened before or after, ballistician were—with very rare exceptions—alone in trying to tackle the problem of air resistance. This was a complex problem where theoretical considerations, experimental results, and computational algorithms intermingled with one another, as well as with the development of new materials and doctrine in artillery. By carefully studying the reasons why ballisticians finally opted for a complex empirical law at the end of the nineteenth century, we show that military procedures for evaluating materials became a yardstick for assessing the worth of mathematical theories as well. In conclusion, we try to assess why military specialists were not able to face the challenges posed by World War I and required the help of civilian scientists and mathematicians. (shrink)

This article describes the creation of a lightweight ontology of European Union (EU) criminal procedural rights in judicial cooperation. The ontology is intended to help legal practitioners understand the precise contextual meaning of terms as well as helping to inform the creation of a rule ontology of criminal procedural rights in judicial cooperation. In particular, we started from the problem that directives sometimes do not contain articles dedicated to definitions. This issue provided us with an opportunity to explore a phenomenon (...) typically neglected in the construction of domain-specific legal ontologies. Whether classical definitions are present or absent, laws and legal sources in general are typically peppered with a number of hidden definitions (in the sense that they are not clearly marked out as such) as well as incomplete definitions, which may nevertheless help legal practitioners (and legal reasoning systems) to reason on the basis of analogy or teleology. In this article we describe the theoretical basis for building an analogical lightweight ontology in the framework of an EU project called _CrossJustice_. We present our methodology for collecting the data, extracting the data fields and creating the ontology with WebProtégé, followed by our conclusions and ideas for future work. (shrink)

In this classic work David Bohm, writing clearly and without technical jargon, develops a theory of quantum physics which treats the totality of existence as an unbroken whole.

The Erasmus + Play4Guidance project introduces an online business game, designed to help teach entrepreneurial, transversal and mathematical skills using a real-world business environment. This paper explains how the Business Model Canvas strategy tool facilitated student understanding of real life business development prior to playing the game. An initial mapping exercise was conducted to find out if the Business Model Canvas could transform the experience of playing the game by providing an overview of real life business strategy, and explain the (...) crucial role that markets and customers play in business growth. As a result of the mapping exercise a workshop session was developed to ensure that students could enact the real life business scenarios presented in the game. Three different types of videos were produced and integrated into the workshop to demonstrate key entrepreneurial competencies and graphically illustrate the nine key building blocks of the BMC. Survey responses from a student cohort evidenced that the workshop was central in helping them to understand real life business strategy prior to playing the game. (shrink)

Beneath the stylized violence and thrilling car crashes, the Mad Max films consider universal questions about the nature of human life, order and anarchy, justice and moral responsibility, society and technology, and ultimately, human redemption. In Mad Max and Philosophy, a diverse team of political scientists, historians, and philosophers investigates the underlying themes of the blockbuster movie franchise, following Max as he attempts to rebuild himself and the world. -/- This book guides you through the barren wastelands of a post-apocalyptic (...) future as you explore ethics and politics in The Wasteland, the importance of costumes and music, humankind's relationship with nature, commerce, gender, religion, madness, and more. (shrink)

David Charles presents a major new study of Aristotle's views on meaning, essence, necessity, and related topics. These interconnected views are central to Aristotle's metaphysics, philosophy of language, and philosophy of science, and are also highly relevant to current philosophical debates. Charles aims to reach a clear understanding of Aristotle's claims and arguments, to assess their truth, and to evaluate their importance to ancient and modern philosophy.

This is an introduction to the structure of sentences in human languages. It assumes no prior knowledge of linguistic theory and little of elementary grammar. It will suit students coming to syntactic theory for the first time either as graduates or undergraduates. It will also be useful for those in fields such as computational science, artificial intelligence, or cognitive psychology who need a sound knowledge of current syntactic theory.

With respect to many, if not most issues, there exist significant differences of opinion among individuals who seem to be equally knowledgeable and sincere. Individuals who apparently have access to the same information and are equally interested in the truth affirm incompatible perspectives on, for instance, significant social, political, and economic issues. Such diversity of opinion, though, is nowhere more evident than in the area of religious thought. On almost every religious issue, honest, knowledgeable people hold significantly diverse, often incompatible (...) beliefs. -/- Religious diversity of this sort can fruitfully be explored in many ways — for instance, from psychological, anthropological, or historical perspectives. The current discussion, however, will concern itself primarily with those key issues surrounding religious diversity with which philosophers, especially analytic philosophers of religion, are most concerned at present. Specifically, our discussion will focus primarily on the following questions: How pervasive is religious diversity? Does the reality of this diversity require a response? Can a person who acknowledges religious diversity remain justified in claiming just one perspective to be correct? If so, is it morally justifiable to attempt to convert others to a different perspective? Can it justifiably be claimed that only one religion offers a path into the eternal presence of God? The answers to such questions are not simply academic. They increasingly have great impact on how we treat others, both personally and corporately. (shrink)

A Zenonian supertask involving an infinite number of colliding balls is considered, under the restriction that the total mass of all the balls is finite. Classical mechanics leads to the conclusion that momentum, but not necessarily energy, must be conserved. Relativistic mechanics, on the other hand, implies that energy and momentum conservation are always violated. Quantum mechanics, however, seems to rule out the Zeno configuration as an inconsistent system.

Today it is generally assumed that epistemic justification comes in degrees. The consequences, however, have not been adequately appreciated. In this paper we show that the assumption invalidates some venerable attacks on infinitism: once we accept that epistemic justification is gradual, an infinitist stance makes perfect sense. It is only without the assumption that infinitism runs into difficulties.

Galileo claimed inconsistency in the Aristotelian dogma concerning falling bodies and stated that all bodies must fall at the same rate. However, there is an empirical situation where the speeds of falling bodies are proportional to their weights; and even in vacuo all bodies do not fall at the same rate under terrestrial conditions. The reason for the deficiency of Galileo’s reasoning is analyzed, and various physical scenarios are described in which Aristotle’s claim is closer to the truth than is (...) Galileo’s. The purpose is not to reinstate Aristotelian physics at the expense of Galileo and Newton, but rather to provide evidence in support of the verdict that empirical knowledge does not come from prior philosophy.Author Keywords: Author Keywords: Aristotle; Galileo; Thought experiments; Falling bodies. (shrink)