This paper argues that Hegel has much to say to modern mathematical philosophy, although the Hegelian perspective needs to be substantially developed to incorporate within it the extensive advances in post-Hegelian mathematics and its logic. Key to that perspective is the self-referential character of the fundamental concepts of philosophy. The Hegelian approach provides a framework for answering the philosophical problems, discussed by Kurt Gödel in his paper on Bertrand Russell, which arise out of the existence in mathematics of self-referential, non-constructive (...) concepts (such as class). (shrink)

With recent advancements in systems engineering and artificial intelligence, autonomous agents are increasingly being called upon to execute tasks that have normative relevance. These are tasks that directly—and potentially adversely—affect human well-being and demand of the agent a degree of normative-sensitivity and -compliance. Such norms and normative principles are typically of a social, legal, ethical, empathetic, or cultural nature. Whereas norms of this type are often framed in the abstract, or as high-level principles, addressing normative concerns in concrete applications of (...) autonomous agents requires the refinement of normative principles into explicitly formulated practical rules. This paper develops a process for deriving specification rules from a set of high-level norms, thereby bridging the gap between normative principles and operational practice. This enables autonomous agents to select and execute the most normatively favourable action in the intended context premised on a range of underlying relevant normative principles. In the translation and reduction of normative principles to SLEEC rules, we present an iterative process that uncovers normative principles, addresses SLEEC concerns, identifies and resolves SLEEC conflicts, and generates both preliminary and complex normatively-relevant rules, thereby guiding the development of autonomous agents and better positioning them as normatively SLEEC-sensitive or SLEEC-compliant. (shrink)

There is at present no intelligible account of what the statements of pure mathematics are about. The philosophy of mathematics is in a mess! Marvin J. Greenberg.

Determining appropriate legal responses to the conduct of health care workers who endanger patients continues to provoke fierce debate. This is particularly true in the context of criminal law, which offers punishment as an obvious strategy. In the first of three papers which make up this issue's extended Health Care Law feature, Professor Alexander McCall Smith and Dr Alan Merry argue against the prosecution of health care workers except in circumstances where there is very dear evidence of a culpable (...) frame of mind. They do so against the backdrop of their description of proposed changes in New Zealand legislation on medical manslaughter. The catalyst for this change was a judge's refusal to countenance the prosecution of an anaesthetist for manslaughter for inadvertent error. In the authors' opinion the intervention by the New Zealand judge has given rise to a long overdue review of a harsh penal measure. However, in a commentary on McCall Smith and Merry's paper, Ron Paterson argues that all is not what it seems and that--in the light of New Zealand's 'no fault' system of compensation for medical accident--the present system should be maintained. (shrink)

A collection of essays (1971-1999) centering on the philosophy of science. Musgrave, a philosopher whose academic affiliations are not given, defends realism, partly from an appeal to common sense. He discusses anti-realist trends in Anglo-American philosophy (Wittgenstein, instrumentalism, construc.

The prospect for widespread therapeutic use of human fetal tissues has aroused strong emotions and prompted several objections. Fetal tissue transplantation circumscribed by medical and moral limits will not erode important ethical values, but the pace of scientific research must not preempt public debate and a verdict consistent with societal values.

The authors develop an axiomatic theory of nonexistent objects and and give a formal semantics for the language of the theory.

In the last few years, off-line simulation has become an increasingly important alternative to standard explanations in cognitive science. The contemporary debate began with Gordon (1986) and Goldman's (1989) off-line simulation account of our capacity to predict behavior. On their view, in predicting people's behavior we take our own decision making system `off line' and supply it with the `pretend' beliefs and desires of the person whose behavior we are trying to predict; we then let the decision maker reach a (...) decision on the basis of these pretend inputs. Figure 1 offers a `boxological' version of the off-line simulation theory of behavior prediction.(1). (shrink)

Should a philosophical account of perceptual knowledge accord a justificatory role to sensory experiences? This discussion raises problems for an affirmative answer and sets out an alternative account on which justified belief is conceived as well-founded belief and well-foundedness is taken to depend on knowledge. A key part of the discussion draws on a conception of perceptual-recognitional abilities to account for how perception gives rise both to perceptual knowledge and to well-founded belief.

This study explores the way that belief systems, interactions with social or experimental environments, and skills at the “control” level in decision‐making shape people's behavior as they solve problems. It is argued that problem‐solvers' beliefs (not necessarily consciously held) about what is useful in mathematics may determine the set of “cognitive resources” at their disposal as they do mathematics. Such beliefs may, for example, render inaccessible to them large bodies of information that are stored in long‐term memory and that are (...) easily retrieved in other circumstances. In other cases, individuals' reactions to an experimental setting (fear of failure, or the desire to “look mathematical” while being videotaped) may induce behavior that is almost pathological—and at the same time, so consistent that it can be modeled. In general, such “environmental” factors establish the context within which individuals access and utilize the information potentially at their disposal.Protocols illustrating these points are presented and discussed. A model based on an axiomatization of students' beliefs about plane geometry is outlined, and is shown to correspond closely to their problem‐solving performance. A framework is offered for analyzing problem‐solving performance at three qualitatively different levels: access to cognitive resources stored in LTM, executive or control decision‐making, and belief systems. (shrink)

Cultural pluralism is both a fact and a norm. It is a fact that our world, and indeed our society, are marked by a large diversity of cultures delineated in terms of race, class, gender, ethnicity, religion, ideology, and other partly interpenetrating variables. This fact raises the normative question of whether, or to what extent, such diversities should be recognized or even encouraged in policies concerning government, law, education, employment, the family, immigration, and other important areas of social concern.

Descartes held that practicing mathematics was important for developing the mental faculties necessary for science and a virtuous life. Otherwise, he maintained that the proper uses of mathematics were extremely limited. This article discusses his reasons which include a theory of education, the metaphysics of matter, and a psychologistic theory of deductive reasoning. It is argued that these reasons cohere with his system of philosophy.

Examines the nature of rhetorical theory and criticism, the rhetoric of science, and the impact of poststructuralism and postmodernism on contemporary accounts of rhetoric.

''The problem of Transcendence is the problem of our time. " I Needless to say, Transcendence was a particularly lively i~sue when Karl Heim wrote these words in the mid-1930's. Within the province of philosophi cal theology and philosophy of religion, however, it is always the prob lem, as Gordon Kaufman has recently reminded us. 2Por the question concerning the nature and the reality of Transcendence has not only to do with self-transcendence, but with the being of Transcendence-Itself, that is (...) to say, with the nature and the reality of God as experienced and understood at any given time or place. Now there are those today who would claim that any further discus sion of the latter half of this proposition, namely,Transcendence-Itse1f or God, is worthless and quite beside the point. Such persons would claim that the particular logia represented by the theological sciences has collapsed by virtue of its object having disappeared. Indeed, when one surveys the contemporary scene in philosophy and theology, there is a good deal of evidence that this is the case':"" theology of late having be come something of a "spectacle," to use Pritz Buri's term. One of the reasons for this, we here contend, is that the richness and the diversity of the meaning of Transcendence has been lost. And even though we do not here intend to resolve the issue, neither do we assume that such an enqui ry is either impossible or irrelevant. (shrink)

This paper presents a unified account of the meaning of the spatial relational terms right, left, in front of, behind, above and below. It claims that each term has three types of meanings, basic, deictic and intrinsic, and that the definitions of each type of meaning are identical in form for all six terms. Restrictions on the use of the terms, which are different for above and below than for the rest, are explained by a general constraint on all uses (...) of spatial relational terms, the framework vertical constraint. This constraint depends on the existence of a fourth type of meaning for above and below, one defined by the framework in which the related objects are located. It is argued that a theory centred on the framework vertical constraint is preferable to one centred on the principle of canonical orientation (Levelt, 1984). (shrink)

Two criticisms of my argument in "reason and morality" were presented by christopher mcmahon (in "gewirth's justification of morality," "philosophical studies", September 1986). I reply to each criticism, Showing that mcmahon has misconstrued my use of 'ought' as action-Guiding and my universalization of the agent's rights-Judgment, As well as my concept of prudential rights. A general defect is that he has not understood how central to my argument is the agent's conative and rational standpoint.

Policy makers are understandably interested—for both political and moral reasons—in following Thaler and Sunstein's recommendation to use ‘choice architecture’ , or other ‘nudges’, to promote desirable behaviour in ways that are allegedly compatible with personal freedom.1 Yashar Saghai's intricate analysis shows that simply maintaining the target's choice-set is insufficient to preserve the target's freedom when the nudge bypasses the target's deliberative capacities—as it is specifically designed to do.2 In his friendly amendment to Thaler and Sunstein's project, Saghai advances a more (...) robust account of nudges in which fewer policies would count as nudges, but those that do count as nudges would be less troublesome. In this commentary, I briefly discuss several issues raised by Saghai's project, some of which go beyond the topic of nudges. How important is definitional salvaging? If a ‘substantially controlling’ influence were more efficacious in promoting healthy behaviours, we would have a trade-off between the efficacy of a policy and its compatibility with freedom. Saghai states that an influence can be morally permissible even if it is ‘substantially controlling’ and, therefore, does not qualify as a nudge. So even on Saghai's definitional project it is not clear how much work it does in distinguishing the morally permissible from the morally impermissible. The …. (shrink)

For centuries tradition had it that knowledge is justified true belief. Then Edmund Gettier produced cases that refute that traditional view – or so most philosophers think. I disagree. The widespread intuition lying behind the so-called ‘Gettier Cases’ is that there is epistemic bad luck (we can unluckily fail to know), but no epistemic good luck (we cannot luckily know). I reject this puritanical intuition. I also question the externalist or reliabilist views of knowledge and/or justification that the Gettier Cases (...) have spawned. (shrink)

This is a paper about ‘human rights pluralism’, and about how human rights’ inherent flexibility can be embraced by development policy-makers and practitioners in ways that can aid the goals of both development and human rights. The paper argues that, even though human rights are often expressed in legal terms – terms that are usually associated with the rigidity of obligation – human rights are inherently pluralistic. This is for two reasons. First, upon closer inspection, human rights laws, and especially (...) international human rights laws, far from imposing rigidity, reflect substantial elasticity as regards their statement, interpretation and implementation. And second, in any case, it is and always has been a mistake not to consider human rights laws within the unavoidably influential philosophical, cultural and economic contexts in which they operate. The political, in other words, is both a necessary and desirable dimension of the legal expression of human rights. Drawing upon this conceptual basis, the paper identifies six specific ‘grammatical features’ of human rights and describes how and why they might be profitably employed by development specialists. (shrink)

The article defends the forms of civil disobedience currently practised by environmental protesters. It reviews the justifications of civil disobedience by Dworkin, Rawls and Singer, and finds them more or less wanting. A new and more extensive justification is provided on the basis of our duties to prevent harm befalling future generations.

The concept of evolvability—the capacity of a population to produce and maintain evolutionarily relevant variation—has become increasingly prominent in evolutionary biology. Paleontology has a long history of investigating questions of evolvability, but paleontological thinking has tended to neglect recent discussions, because many tools used in the current evolvability literature are challenging to apply to the fossil record. The fundamental difficulty is how to disentangle whether the causes of evolutionary patterns arise from variational properties of traits or lineages rather than being (...) due to selection and ecological success. Despite these obstacles, the fossil record offers unique and growing sources of data that capture evolutionary patterns of sustained duration and significance otherwise inaccessible to evolutionary biologists. Additionally, there exist a variety of strategic possibilities for combining prominent neontological approaches to evolvability with those from paleontology. We illustrate three of these possibilities with quantitative genetics, evolutionary developmental biology, and phylogenetic models of macroevolution. In conclusion, we provide a methodological schema that focuses on the conceptualization, measurement, and testing of hypotheses to motivate and provide guidance for future empirical and theoretical studies of evolvability in the fossil record. (shrink)