The development and applicability of complex numbers is often cited in defence of the formalist philosophy of mathematics. This view is rejected through an examination of hamilton's development of the notion of complex numbers as ordered pairs of reals, And his later development of the quaternion theory, Which subsequently formed the basis of vector analysis. Formalism, By protecting informal assumptions from critical scrutiny, Constrained rather than encouraged the development of mathematics.

A detailed review of hospital records, physician's notes, diaries, letters, and autopsy reports offers sufficient clinical grounds to establish that Eugene O'Neill developed adrenal insufficiency, secondary to tuberculosis, in later life--a fact hitherto unknown--the condition not becoming manifest until after he had abdominal surgery in 1936.

In an otherwise convincing article Mr. T. P. Wiseman argues that this passage ‘seems to mean that L. Memmius and Q. Pompeius were principes, i.e. outstanding orators, and that they were not among those who spoke in their own defence in 90 B.C.’. But he rightly refuses to believe that Cicero can have intended this, since, apart from other considerations, it is clear from Cicero's previous references to Memmius and Pompeius that he did not consider them to be outstanding orators.

In an otherwise convincing article Mr. T. P. Wiseman argues that this passage ‘seems to mean that L. Memmius and Q. Pompeius were principes, i.e. outstanding orators, and that they were not among those who spoke in their own defence in 90 B.C.’. But he rightly refuses to believe that Cicero can have intended this, since, apart from other considerations, it is clear from Cicero's previous references to Memmius and Pompeius that he did not consider them to be outstanding orators.

The ArgumentA scientific work presupposes a body of texts that are a condition for its intelligibility. This paper shows that the study of intertextual reference — of the ways a text indicates its relation to other texts — provides a fruitful perspective in the study of science that deserves more attention than it has hitherto received. The paper examines intertextual reference in early nineteenth-century mathematics, first surveying a variety of mathematical texts in the period and then examining in detail W.R. (...) Hamilton's work on quaternions.Three questions are addressed: (1) What forms of intertextual reference are employed? (2) What is the range of intertextual reference? (3) What are the functions of intertextual reference? The answers to the first two questions provide an unexplored perspective on the institutional changes in science during the period. The transitional status of the period in the development of later professional science is reflected in the relative openness in the forms of intertextual reference employed and the range of texts to which reference was made. In virtue of these features the period is particularly fruitful in the study of the functions of intertextual reference. With some major qualifications, the paper defends a Mertonian view that intertextual reference needs to be understood in terms of the claim to intellectual property rights. (shrink)

In the many worlds community there seems to exist a belief that the physics of quantum theory is completely defined by it’s Hamilton operator given in an abstract Hilbert space, especially that the position basis may be derived from it as preferred using decoherence techniques.We show, by an explicit example of non-uniqueness, taken from the theory of the KdV equation, that the Hamilton operator alone is not sufficient to fix the physics. We need the canonical operators $\hat{p}$ , (...) $\hat{q}$ as well. As a consequence, it is not possible to derive a “preferred basis” from the Hamilton operator alone, without postulating some additional structure like a “decomposition into systems”. We argue that this makes such a derivation useless for fundamental physics. (shrink)

Brian Garrett constructs cases satisfying Andy Hamilton’s definition of weak q‐memory. This does not establish that a peculiar kind of memory is at least conceptually coherent. Any ‘apparent memory experiences’ that satisfy the definition turn out not to involve remembering anything at all. This conclusion follows if we accept, as both Hamilton and Garrett do, a variety of first‐person authority according to which memory judgements may be false, but not on the ground that someone other than the remembering (...) subject had the remembered experience. Garrett’s brain‐bisection illustration sounds convincing, but only because we retain the idea that the subjects created by implanting a hemisphere each in two different bodies are entitled to say that they remember experiences before the surgery in the ordinary sense. To that extent the illustration presents a case of ordinary memory, not q‐memory. (shrink)

This paper undertakes a re-examination of Sir William Hamilton’s doctrine of the quantification of the predicate . Hamilton’s doctrine comprises two theses. First, the predicates of traditional syllogistic sentence-forms contain implicit existential quantifiers, so that, for example, All p is q is to be understood as All p is some q . Second, these implicit quantifiers can be meaningfully dualized to yield novel sentence-forms, such as, for example, All p is all q . Hamilton attempted to provide (...) a deductive system for his language, along the lines of the classical syllogisms. We show, using techniques unavailable to Hamilton, that such a system does exist, though with qualifications that distinguish it from its classical counterpart. (shrink)

The “land community” (or “biotic community”) that features centrally in Aldo Leopold’s Land Ethic has typically been equated with the concept of “ecosystem.” Moreover, some have challenged this central Leopoldean concept given the multitude of meanings of the term “ecosystem” and the changes the term has undergone since Leopold’s time (see, e.g., Shrader-Frechette 1996). Even one of Leopold’s primary defenders, J. Baird Callicott, asserts that there are difficulties in identifying the boundaries of ecosystems and suggests that we recognize that their (...) boundaries are determined by scientific questions ecologists pose (Callicott 2013). I argue that we need to rethink Leopold’s concept of land community in the following ways. First, we should recognize that Leopold’s views are not identical to those of his contemporaries (e.g., Clements, Elton), although they resemble those of some subsequent ecologists, including some of our contemporaries (e.g., O’Neill 2001, Post et al. 2007, Hastings and Gross 2012). Second, the land community concept does not map cleanly onto the concept of “ecosystem”; it also incorporates elements of the “community” concept in community ecology by emphasizing the interactions between organisms and not just the matter/energy flow of the ecosystem concept. Third, the boundary question can be illuminated by considering some of the recent literature on the nature of biological individuals (in particular, Odenbaugh 2007; Hamilton, Smith, and Haber 2009; Millstein 2009), focusing on concentrations of causal relations as determinative of the boundaries of the land community qua individual. There are challenges to be worked out, particularly when the interactions of community members do not map cleanly onto matter/energy flows, but I argue that these challenges can be resolved. The result is a defensible land community concept that is ontologically robust enough to be a locus of moral obligation while being consistent with contemporary ecological theory and practice. (shrink)

Scholars have long asserted that public relations (PR) professionals should play the role of organizational conscience, but little research has focused on why and how they play this role effectively. We found that PR professionals who played the role of organizational conscience had broadened conceptions of their roles and responsibilities, including a fervent duty to the public interest. This often put them in the position of providing criticism to powerful organizational players. Rather than raising their ethical concerns as persuasive orators, (...) they used subtle, resourceful, and experiential approaches to persuasion. Playing the role of organizational conscience typically necessitated gaining access to informal coalitions since access to dominant power coalitions often was limited or late. Organizations with participative cultures supported the role of organizational conscience. (shrink)

Relational theories of art—paradigmatically, the ‘Institutional’ theory—arose from dissatisfaction with the Wittgenstein-inspired ‘family resemblance’ account of art, and were taken not merely to be preferable in various ways to that account, but actually to falsify it. We argue that this latter thought is rooted in a fundamental misunderstanding of the falsification-conditions of a family resemblance account; and we suggest that, once the reasons for this are appreciated, any apparent motivation to engage in relational theorizing about art evaporates.

Emissions arising from the production and consumption of food are acknowledged as a major contributor to climate change. From a consumer’s perspective, however, the sustainability of food may have many meanings: it may result from eating less meat, becoming vegetarian, or choosing to buy local or organic food. To explore what food sustainability means to consumers, and what factors lead to changes in food practice, we adopt a sociotechnical approach to compare the food consumption practices in North West England with (...) two differing consumer groups. The first, supermarket shoppers ‘embedded’ in the mainstream food regime; and the second, who self-identify as sustainable food practitioners, and who perform a range of sustainable food consumption practices. We examine how our two groups experience changes in food practices and identify ‘fractures’ stemming from lifecourse and public events that emerge as points where change might occur. We suggest that ‘sharing spaces’ would be one possibility for prompting and nurturing fractures that can lead to greater sustainability in food practices. (shrink)

The discussion in this paper sets out from two thoughts, one a straightforward empirical observation, the other a worry. The observation is that many who do not believe in God nevertheless regard certain pieces of religious music, such as Bach’s B minor Mass, as among the greatest works of art. The worry is that there must be something compromised or incomplete in the atheist’s experience of such works. Taken together, these thoughts would seem to point to the sceptical conclusion that (...) the high regard in which many atheists hold works such as the B minor Mass must itself be compromised, or in some way unwarranted. The majority of the paper is devoted to clarifying the initial worry through the investigation of a series of (failed) attempts to avoid the sceptical conclusion, before — at the end of the paper — we argue that, for at least one sort of atheist, there is, after all, a mode of engagement with great religious music that might afford an experience of it which would underwrite his judgement that the work is, indeed, great. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:russell: the Journal of Bertrand Russell Studies n.s. 34 (summer 2014): 67–78 The Bertrand Russell Research Centre, McMaster U. issn 0036–01631; online 1913–8032 c:\users\kenneth\documents\type3401\rj 3401 193 red.docx 2014-05-14 8:54 PM aiscussion THE STRUCTURE, SEMANTICS, AND USE OF DESCRIPTIONS Jolen Galaugher Philosophy / McMaster U. Hamilton, on, Canada l8s 4l6 [email protected] / [email protected] he division of designators into denoting expressions and referring expressions has become a familiar feature of (...) the Russellian orthodoxy in the philosophy of language. At a glance, expressions of the referring kind seem to be unstructured, lacking independently meaningful proper parts, while those of the denoting kind seem to be structured quantifiers, having molecular complexity. Most examples fit this pattern: proper names, indexicals, and demonstratives are unstructured, while definite descriptions and other quanti fier phrases are typically structured. On Russell’s 1903 theory of denoting, the semantic structure (independently meaningful proper parts) of denoting complexes had proved a source of difficulty for his logic of propositions. The early theory was not only incapable of explaining both how we are supposed to designate complex meanings and how complex meanings are supposed to denote, but was also at odds with the view that proposition and constituent are logically basic, introducing further functional complexes into the propositional complex. Russell’s 1905 theory of descriptions reconstrued these apparently structured referring expressions as quantified noun phrases. On the new theory, knowing the meaning of such expressions does not require acquaintance with a specific object, but rather a grasp of the truth-conditions of the sentences in which they occur.1 One might say that on the new theory, denoting is linked to object-independent truth-conditions, while referring is linked to object-dependent truth-conditions—a connection elaborated and extended by Kripke and Kaplan. This is the situation as Arthur Sullivan paints it in his new book, Reference and Structure in the Philosophy of Language: a Defense of the 1 Russell articulated the dichotomy in “Knowledge by Acquaintance and Knowledge by Description” (1911), ML, p. 226; Papers 6: 158. For Sullivan’s use of this passage, see his anthology, Logicism and the Philosophy of Language, pp. 79–80, and Reference and Structure in the Philosophy of Language, pp. 13–14, 137, 140 n.15. q= 68 Discussion c:\users\kenneth\documents\type3401\rj 3401 193 red.docx 2014-05-14 8:54 PM Russellian Orthodoxy (2013). In this work, Arthur Sullivan defends a stronger set of claims than the denoting /referring distinction might historically have entailed. Building on Neale’s sharp distinction between semantically unstructured rigid referring expressions and semantically structured restricted quantifiers,2 Sullivan takes it to be crucial that these categories are exhaustive and exclusive, so that all and only referring expressions are unstructured designators, and all and only denoting expressions are structured designators (p. 13). Adopting a distinction from Bach,3 Sullivan maintains that the semantic mechanism of referring designators is simply to conventionally relate the utterance of the designator to the designatum, and hence to express object-dependent propositions, while the semantic mechanism of denoting designators is satisfactional, expressing a compositional condition which may or may not be satisfied by any object and which thus expresses object-independent propositions (p. 11). In Part 1, Sullivan articulates the orthodox theory of reference in terms of these two exhaustive and exclusive categories of designator and the distinct, corresponding semantic mechanisms by which they designate. In Part 2, he provides arguments in favour of the orthodoxy. In Part 3, he deals with apparent counter -examples, reinterpreting complex demonstratives and referential uses of definite descriptions to bring them into conformity with the strict referringversus -denoting dichotomy. In Part 4, he offers a synopsis and some general conclusions. Importantly, in Part 2, Sullivan argues that semantic structure is a necessary but not sufficient condition of non-rigidity, that only denoting designnators are non-rigid, that all unstructured designators are rigid designators, and that the lack of semantic structure is necessary and sufficient for status as a referring expression. Contrary to the view which is now popular, Russell regarded ordinary proper names as... (shrink)

Conceptions of individual autonomy and of rational autonomy have played large parts in twentieth century moral philosophy, yet it is hard to see how either could be basic to morality. Kant's conception of autonomy is radically different. He predicated autonomy neither of individual selves nor of processes of choosing, but of principles of action. Principles of action are Kantianly autonomous only if they are law-like in form and could be universal in scope; they are heteronomous if, although law-like in form, (...) they cannot have universal scope. Puzzles about claims linking morality, reason and autonomy are greatly reduced by recognising the distinctiveness of Kantian autonomy. (shrink)

This chapter contains sections titled: Notes References Further Reading.

Parental investment strategies are contingent on parental capacities and ecology. Parental embodied capital may be important in aspiration construction and investments in children’s human capital, which is especially important in urban environments where skills are directly tied to wage income. For Indo-Fijians, rural ecology strongly limits opportunities. Here this limitation is conceptualized as extrinsic risk and immune to reduction through enhanced parental investment. Urban migration is interpreted as a risk reduction strategy, given an expanded urban opportunity structure (lower extrinsic risk). (...) Qualitative and quantitative data from 678 Indo-Fijian children suggest that, contingent on parental capacities, parents migrate in response to their perceptions of decreased opportunities that manifest as high levels of extrinsic risk in rural environments. Parental investment in quality and quantity corresponds to parental perceptions of extrinsic risk, which in turn correspond to migration status, indicating that parental strategies do respond to perceived limits on investment payoffs. (shrink)

Margaret Cavendish was an English natural philosopher. Influenced by Hobbes and by ancient Stoicism, she held that the created, natural world is purely material; there are no incorporeal substances that causally affect the world in the course of nature. However, she parts company with Hobbes and sides with the Stoics in rejecting a participate theory of matter. Instead, she holds that matter is a continuum. She rejects the mechanical philosophy's account of the essence of matter as simply extension. For Cavendish, (...) matter is also essentially living, sensing, and rational. She also rejects the mechanical philosophy's explanation of change solely in terms of transference of motion. Her own explanation of change relies upon a notion of "occasional cause." This paper argues that Cavendish's occasional causes are not to be confused with those of Malebranche; hers have some efficient causal powers. It traces the concept of an occasional cause from the ancient Stoics, through Galen, to Renaissance natural philosophers such as J. B. van Helmont, and ultimately to Cavendish and to Descartes. Thus, the aim of the paper is to explicate Cavendish's non-mechanical model of natural change and to show how the key concept in this model, that of "occasional cause," has a long philosophical pedigree. L'anglaise Margaret Cavendish pratique la philosophic naturelle. Sous l'influence de Hobbes et du stoïcisme ancien, elle a soutenu que le monde naturel créé est purement matériel ; dans le cours de la nature, il n'y a pas de substances incorporelles qui affectent causalement le monde. Elle se sépare néanmoins de Hobbes et rejoint les Stoïciens dans son rejet d'une théorie de la matière particulaire. Elle considère au contraire que la matière est un continuum. Elle rejette l'explication de l'essence de la matière comme simple extension, fournie par la philosophic mécaniste. Pour Cavendish, la matière est de plus essentiellement vivante, sentante et rationnelle. Elle rejette aussi l'explication mécaniste du changement en simples termes de transmission de mouvement. Sa propre explication du changement s'appuie sur la notion de cause occasionnelle. Cet article defend l'idée que les causes occasionnelles de Cavendish ne doivent pas être confondues avec celles de Malebranche ; les siennes ont des pouvoirs causaux efficients. Il permet done de suivre l'histoire du concept de cause occasionnelle des anciens Stoïciens, en passant ensuite par Galien jusqu'aux Philosophes de la nature de la Renaissance, comme J. B. van Helmont, et finalement jusqu'à Cavendish et Descartes. Le but de cet article est ainsi de rendre explicite le modèle que Cavendish donne du changement naturel et de montrer comment le concept clé de ce modèle, celui de cause occasionnelle, est le produit d'une longue filiation philosophique. (shrink)

abstract Normative argument is supposed to guide ways in which we might change the world, rather than to fit the world as it is. This poses certain difficulties for the notion of applied ethics. Taken literally the phrase ‘applied ethics’ suggests that principles or standards with substantial philosophical justification, in particular ethical and political principles with such justification, are applied to particular cases and guide action. However, the ‘cases’ which applied ethics discusses are themselves indeterminate, and the relation of principles (...) to these ‘cases’ differs from the relation of principles to cases in naturalistic, truth‐oriented inquiry. Writing in ‘applied ethics’, I shall argue, does not need elaborate case histories or scenarios, since the testing points for normative principles are other normative principles rather than particular cases. Normative principles and contexts to which they are applicable are indeed needed for any reasoning that is practical, but they are not sufficient. Practical ethics needs principles that can not merely be applied in certain cases or situations, but also enacted in certain ways, and requires an account of practical judgement and of the public policies that support that judgement. (shrink)

Maclntyre's refurbishing of Aristotelian ethics aims to restore both intelligibility and rationality to moral discourse. In After Virtue he concentrates on showing how intelligible action requires that lives be led within institutional and cultural traditions. But he does not offer a developed account of practical reason which could provide grounds for seeking some rather than other intelligible continuations of lives and traditions. Despite Maclntyre's criticisms of Kant's ethics, a Kantian account of practical reasoning may complement his account of intelligibility. An (...) appropriate interpretation of Kantian ethics is outlined, which escapes Maclntyre's criticisms, allows both for the universal character of basic moral principles and for the historical variability of intelligible action, and which makes moral worth or virtue the centre of the moral life. The refurbishing of Aristotelian ethics may be achieved by a Kantian completion. (shrink)

I argue that information about the distal causes of moral beliefs, such as evolution, is only relevant for assessing the epistemic status of moral beliefs in cases where we cannot determine whether the proximal processes producing these beliefs are reliable just by examining the properties of these proximal processes. Any investigation into the epistemic status of moral beliefs given their causes should start with a look at proximal causes—not at evolution. I discuss two proximal psychological influences on moral beliefs—disgust and (...) sympathy—to demonstrate the feasibility of drawing epistemic conclusions from an examination of proximal causes alone. (shrink)

Ethical reasoning of all types is anthropocentric, in that it is addressed to agents, but anthropocentric starting points vary in the preference they accord the human species. Realist claims about environmental values, utilitarian reasoning and rights-based reasoning all have difficulties in according ethical concern to certain all aspects of natural world. Obligation-based reasoning can provide quite strong if incomplete reasons to protect the natural world, including individual non-human animals. Although it cannot establish all the conclusions to which anti-speciesists aspire, it (...) may establish many of them with some clarity. (shrink)

The bleakness of Schopenhauer’s notoriously pessimistic take on the human condition is mitigated to some extent by his recognition of the possibilities of aesthetic experience and of denial of the will-to-live. However, as Schopenhauer himself acknowledges, his account of the latter appears inconsistent with his determinism, and we argue that this is no less the case with regard to his account of the former. After outlining what we take to be the basis and extent of Schopenhauer’s deterministic picture of human (...) beings, we develop and discuss the possibility that the apparent inconsistency of this picture with his accounts of denial of the will-to-live and aesthetic experience may in fact be no more than appearance – the extent, that is, to which the latter may be construed as varieties of experience to which we are essentially passive. We argue that while there is something to this suggestion, there are aspects of Schopenhauer’s conceptions of both aesthetic experience and denial that remain in tension with his determinism. Indeed, we suggest, ultimately Schopenhauer’s deterministic picture of human beings portrays a kind of creature for whom aesthetic experience in general, let alone denial of the will, should simply be impossible. We turn next to Schopenhauer’s conception of the ‘moral’ or ‘transcendental’ freedom of human beings, and consider how the latter may be appealed to in explaining the possibility of aesthetic and ascetic experience in Schopenhauer’s terms. Schopenhauer’s own appeal to transcendental freedom in this context is, we argue, unpersuasive. In the end, we conclude, he leaves wholly mysterious the freedom inherent in his conceptions of aesthetic and ascetic experience. (shrink)

This chapter contains sections titled: Meta‐ethics and normative ethics Intrinsic value Is the rejection of meta‐ethical realism compatible with an environmental ethic? Objective value and the flourishing of living things Human sensibilities and environmental values Environmental ethics through thick and thin.

Offering a unique 'debate' format, the third edition of_ _the bestselling_ Arguing About Art_ is ideal for newcomers to aesthetics or philosophy of art. This lively collection presents an extensive range of short, clear introductions to each of the discussions which include: sentimentality appreciation interpretation understanding objectivity nature food horror. With revised introductions, updated suggestions for further reading and new sections on pornography and societies without art, _Arguing About Art _provides_ _a stimulating and accessible anthology suitable for those coming to (...) aesthetics for the first time. The book will also appeal to students of art history, literature, and cultural studies. (shrink)