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.

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 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.

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)

A complete translation of Aristotle's classic that is both faithful and readable, along with an introduction that provides the modern reader with a means of understanding this seminal work and its impact on our culture. In this volume, Joe Sachs (translator of Aristotle's _Physics, Metaphysics,_ and the _Nicomachean Ethics _)also supplements his excellent translation with well-chosen notes and glossary of important terms. Focus Philosophical Library translations are close to and are non-interpretative of the original text, with the notes and a (...) glossary intending to provide the reader with some sense of the terms and the concepts as they were understood by Aristotle’s immediate audience. (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)

When can one say that a new theory is truer than the old one it contradicts, even though neither is absolutely true? We are primarily concerned with the case in which the conflicting theories offer answers to the same questions, and so we do not introduce considerations of "logical width". We propose that part of the new theory is truer than part of the old one when the former part gets right whatever the latter-part got right while the former does (...) not make any new mistakes. Pragmatic considerations will determine the relative importance of whatever new mistakes the new theory does make as a whole. To avoid artificial counterexamples, we restrict the parts compared to those that are "convex". A "convex" theory is one that holds in all cases intermediate between any two cases in which it holds. (shrink)

Clinical Ethics, Ahead of Print. This paper is a response to a recent BMJ Blog: ‘The duty to treat: where do the limits lie?’ Members of the Surrey Heartlands Integrated Care Service Clinical Ethics Group reflected on arguments in the Blog in relation to resuscitation during the COVID-19 pandemic.Clinicians have had to contend with ever-changing and conflicting guidance from the Resuscitation Council UK and Public Health England regarding personal protective equipment requirements in resuscitation situations. St John Ambulance had different guidance (...) for first responders.The situation regarding resuscitation led the CEG to consider ethical aspects of health care professionals’ responses to the need for resuscitation during COVID-19. Members agreed that professionals should, ideally, have the level of PPE required for an aerosol generating procedure. However, there was no consensus regarding professionals’ duty to care when this is not available. On the one hand, it was agreed that the casualty/patient’s interests regarding resuscitation should be prioritised due to professionals’ contract with the public and professional privilege. On the other hand, risk thresholds were considered relevant to individual decision-making and professionals’ duty to care. All agreed that decision-making should not be influenced by rewards or reprimands. It was agreed also that decisions to resuscitate should not be considered as moral heroism or supererogatory - regardless of PPE availability - but rather as ‘minimally decent’. We agreed that it may be acceptable for professionals, with good reasons, to opt out of resuscitation attempts and these should be reflected on and discussed before the event. (shrink)

The necessity for a government “lender of last resort” has been advanced as a justification for central banking. In this paper, I compare lending practices under central banking with those that would be likely to exist under a system of fractional-reserve free banking (FRFB). To do this I examine the underlying […].

In a task requiring speeded bidirectional responses to arrow symbols , “free choice” responses to interspersed bidirectional stimuli are influenced by masked directional primes . By varying stimulus–response compatibility, we tested whether this priming effect is mediated by the conscious instructional set, or instead by pre-existing directional associations to the symbols. In two experiments, one group of participants was instructed to respond with the hand consistent with the implied direction of the arrow symbols, while another group was instructed to make (...) the spatially opposite responses. Both groups showed priming of “free choice” responses. However, such priming was always biased according to the instructional set rather than pre-existing associations. Subliminal priming of “free choice” responses therefore depends on conscious task goals. (shrink)

The methodology implicit in empirically grounded social scientific studies of religion naturally allies with forms of semantic holism. However, a well known argument which questions whether holism in general is consistent with the fact that languages are learnable can be extended into an epistemological one which questions whether holism is consistent with an empirical methodology. In other words, there is question whether holism, in fact, makes social science possible. I diagnose the assumptions on which that objection rests, pointing out that (...) they are not necessary for semantic holism per se. I argue that a form of semantic holism along the lines advocated by W. V. O. Quine and Donald Davidson can avoid the objection. Moreover, when seen in this light, it has the resources to withstand an even deeper methodological problem. In so doing, though, several important but overlooked implications for the study of religion emerge. (shrink)

In addition to double‐ and single‐strand DNA breaks and isolated base modifications, ionizing radiation induces clustered DNA damage, which contains two or more lesions closely spaced within about two helical turns on opposite DNA strands. Post‐irradiation repair of single‐base lesions is routinely performed by base excision repair and a DNA strand break is involved as an intermediate. Simultaneous processing of lesions on opposite DNA strands may generate double‐strand DNA breaks and enhance nonhomologous end joining, which frequently results in the formation (...) of deletions. Recent studies support the possibility that the mechanism of base excision repair contributes to genome stability by diminishing the formation of double‐strand DNA breaks during processing of clustered lesions. BioEssays 23:745–749, 2001. © 2001 John Wiley & Sons, Inc. (shrink)

This chapter discusses the overall paradigmatic distribution of gaps in the Romance languages of the Iberian Peninsula. It revisits the Spanish data from a historical and comparative perspective, considering the closely related language, Portuguese. Ibero-Romance paradigm gaps are determined by the lexical rarity and the morphemic patterning. Paradigm gaps are also affected by ‘low speaker confidence’. This behaviour defines the avoidance of allomorphy even in the absence of reasonable grounds to expect the occurrence of allomorphy. Such behaviour is triggered by (...) the speaker's sensitivity to a major distributional pattern of root allomorphy in Spanish and Portuguese such as that in non-first conjunction verbs, the first person singular present indicative together with all persons and numbers of the present subjunctive in shared root allomorph. In addition to determining the defectiveness in the Ibero-Romance languages, the chapter also provides a discussion on the general domains and determinants of defectiveness. (shrink)

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

Why has autonomy been a leading idea in philosophical writing on bioethics, and why has trust been marginal? In this important book, Onora O'Neill suggests that the conceptions of individual autonomy so widely relied on in bioethics are philosophically and ethically inadequate, and that they undermine rather than support relations of trust. She shows how Kant's non-individualistic view of autonomy provides a stronger basis for an approach to medicine, science and biotechnology, and does not marginalize untrustworthiness, while also explaining (...) why trustworthy individuals and institutions are often undeservingly mistrusted. Her arguments are illustrated with issues raised by practices such as the use of genetic information by the police or insurers, research using human tissues, uses of new reproductive technologies, and media practices for reporting on medicine, science and technology. Autonomy and Trust in Bioethics will appeal to a wide range of readers in ethics, bioethics and related disciplines. (shrink)

[John Dupré] This paper attacks some prominent contemporary attempts to provide reductive accounts of ever wider areas of human behaviour. In particular, I shall address the claims of sociobiology to provide a universal account of human nature, and attempts to subsume ever wider domains of behaviour within the scope of economics. I shall also consider some recent suggestions as to how these approaches might be integrated. Having rejected the imperialistic ambitions of these approaches, I shall briefly advocate a more pluralistic (...) approach to the understanding of human behaviour, and one which leaves some space for the possibility of genuine human autonomy. /// [John O'Neill] One response to Dupré's criticism of rational choice theory's unifying aspirations is that it is aimed at over-ambitious versions of the theory. Immodesty about the scope of rational choice theory may look more plausible given suitable modesty in assumptions about the rational agent. The paper examines problems with one immodest version of the theory-public choice theory-and show how these shed light on problems in modest versions employing minimal assumptions about the preference structure of rational agents. However, while rational choice theory may fail in its unifying ambitions, I argue those aspirations are defensible. (shrink)

Towards Justice and Virtue challenges the rivalry between those who advocate only abstract, universal principles of justice and those who commend only the particularities of virtuous lives. Onora O'Neill traces this impasse to defects in underlying conceptions of reasoning about action. She proposes and vindicates a modest account of ethical reasoning and a reasoned way of answering the question 'who counts?', then uses these to construct linked accounts of principles by which we can move towards just institutions and virtuous (...) lives. (shrink)

Two centuries after they were published, Kant's ethical writings are as much admired and imitated as they have ever been, yet serious and long-standing accusations of internal incoherence remain unresolved. Onora O'Neill traces the alleged incoherences to attempts to assimilate Kant's ethical writings to modern conceptions of rationality, action and rights. When the temptation to assimilate is resisted, a strikingly different and more cohesive account of reason and morality emerges. Kant offers a "constructivist" vindication of reason and a moral (...) vision in which obligations are prior to rights and in which justice and virtue are linked. O'Neill begins by reconsidering Kant's conceptions of philosophical method, reason, freedom, autonomy and action. She then moves on to the more familiar terrain of interpretation of the Categorical Imperative, while in the last section she emphasizes differences between Kant's ethics and recent "Kantian" ethics, including the work of John Rawls and other contemporary liberal political philosophers. (shrink)