The potential benefits of cognitive skills in enhancing mathematics ability have been claimed by numerous researchers. Since mathematics requires a complete understanding and grasp of abstract concepts, it is essential to explore how learning with metacognitive skills affects mathematics learning. Thus, the study investigates the students' metacognitive awareness and conceptual understanding of integers. A descriptive-correlational method approach was utilized, and it was carried out on 303 seventh-grade students. The data were obtained using a metacognitive awareness inventory and achievement test on (...) integers. It was further revealed that the students have average metacognitive awareness and performed well in the fundamental operation of integers. Follow-up qualitative analysis revealed that students who were high achievers had the best understanding, average achievers had corrected or incomplete understanding, and low achievers had a functional misconception of integers. Moreover, the student's metacognitive awareness was significantly related to their conceptual understanding of integers. This indicates that student's higher-order thinking skills, such as metacognition, are essential since they are associated with building conceptual skills. Thus, teachers should encourage students' metacognitive awareness to improve students' conceptual understanding of integers. The study provides relevant information for educational managers on the potential factors to be considered in improving mathematics education practices, particularly in promoting metacognition among high school students. (shrink)

This study determined the cognitive skills achievement in mathematics of elementary pre-service teachers as a basis for improving problem-solving and critical thinking which was analyzed using Piaget's seven logical operations namely: classification, seriation, logical multiplication, compensation, ratio and proportional thinking, probability thinking, and correlational thinking. This study utilized an adopted Test on Logical Operations (TLO) and descriptive research design to describe the cognitive skills achievement and to determine the affecting factors. Overall, elementary pre-service teachers performed with sufficient understanding in dealing (...) with the TLO. However, in each logical operation, students were found to have insufficient understanding of probability thinking and correlational thinking. These insufficiencies in other logical operations were attributed to their misconceptions on some mathematical terms, misinterpretation of the problems, poor comprehension skills, poor problem-solving skills, and poor performance in mathematics in general. (shrink)

The INBIOSA project brings together a group of experts across many disciplines who believe that science requires a revolutionary transformative step in order to address many of the vexing challenges presented by the world. It is INBIOSA’s purpose to enable the focused collaboration of an interdisciplinary community of original thinkers. This paper sets out the case for support for this effort. The focus of the transformative research program proposal is biology-centric. We admit that biology to date has been more fact-oriented (...) and less theoretical than physics. However, the key leverageable idea is that careful extension of the science of living systems can be more effectively applied to some of our most vexing modern problems than the prevailing scheme, derived from abstractions in physics. While these have some universal application and demonstrate computational advantages, they are not theoretically mandated for the living. A new set of mathematical abstractions derived from biology can now be similarly extended. This is made possible by leveraging new formal tools to understand abstraction and enable computability. [The latter has a much expanded meaning in our context from the one known and used in computer science and biology today, that is "by rote algorithmic means", since it is not known if a living system is computable in this sense (Mossio et al., 2009).] Two major challenges constitute the effort. The first challenge is to design an original general system of abstractions within the biological domain. The initial issue is descriptive leading to the explanatory. There has not yet been a serious formal examination of the abstractions of the biological domain. What is used today is an amalgam; much is inherited from physics (via the bridging abstractions of chemistry) and there are many new abstractions from advances in mathematics (incentivized by the need for more capable computational analyses). Interspersed are abstractions, concepts and underlying assumptions “native” to biology and distinct from the mechanical language of physics and computation as we know them. A pressing agenda should be to single out the most concrete and at the same time the most fundamental process-units in biology and to recruit them into the descriptive domain. Therefore, the first challenge is to build a coherent formal system of abstractions and operations that is truly native to living systems. Nothing will be thrown away, but many common methods will be philosophically recast, just as in physics relativity subsumed and reinterpreted Newtonian mechanics. -/- This step is required because we need a comprehensible, formal system to apply in many domains. Emphasis should be placed on the distinction between multi-perspective analysis and synthesis and on what could be the basic terms or tools needed. The second challenge is relatively simple: the actual application of this set of biology-centric ways and means to cross-disciplinary problems. In its early stages, this will seem to be a “new science”. This White Paper sets out the case of continuing support of Information and Communication Technology (ICT) for transformative research in biology and information processing centered on paradigm changes in the epistemological, ontological, mathematical and computational bases of the science of living systems. Today, curiously, living systems cannot be said to be anything more than dissipative structures organized internally by genetic information. There is not anything substantially different from abiotic systems other than the empirical nature of their robustness. We believe that there are other new and unique properties and patterns comprehensible at this bio-logical level. The report lays out a fundamental set of approaches to articulate these properties and patterns, and is composed as follows. -/- Sections 1 through 4 (preamble, introduction, motivation and major biomathematical problems) are incipient. Section 5 describes the issues affecting Integral Biomathics and Section 6 -- the aspects of the Grand Challenge we face with this project. Section 7 contemplates the effort to formalize a General Theory of Living Systems (GTLS) from what we have today. The goal is to have a formal system, equivalent to that which exists in the physics community. Here we define how to perceive the role of time in biology. Section 8 describes the initial efforts to apply this general theory of living systems in many domains, with special emphasis on crossdisciplinary problems and multiple domains spanning both “hard” and “soft” sciences. The expected result is a coherent collection of integrated mathematical techniques. Section 9 discusses the first two test cases, project proposals, of our approach. They are designed to demonstrate the ability of our approach to address “wicked problems” which span across physics, chemistry, biology, societies and societal dynamics. The solutions require integrated measurable results at multiple levels known as “grand challenges” to existing methods. Finally, Section 10 adheres to an appeal for action, advocating the necessity for further long-term support of the INBIOSA program. -/- The report is concluded with preliminary non-exclusive list of challenging research themes to address, as well as required administrative actions. The efforts described in the ten sections of this White Paper will proceed concurrently. Collectively, they describe a program that can be managed and measured as it progresses. (shrink)

This chapter both explains the origins of emotivism in C. K. Ogden and I. A. Richards, R. B. Braithwaite, Austin Duncan-Jones, A. J. Ayer and Charles Stevenson (along with the endorsement by Frank P. Ramsey, and the summary of C. D. Broad), and looks at MacIntyre's criticisms of emotivism as the inevitable result of Moore's attack on naturalistic ethics and his ushering in the fact/value, which was a historical product of the Enlightenment.

CATEGORY: Philosophy play; historical fiction; comedy; social criticism. STORYLINE: Katherine, a slightly neurotic American lawyer, has tried very hard to find personal happiness in the form of friends and lovers. But she has not succeeded, and is therefore very unhappy. So she travels to London, hoping that Christianus — a well-known satisfactionist — may be able to help her. TOPICS: In the course of the play, Katherine and Christianus converse about many philosophical issues: the modern American military presence in Iraq; (...) the meaning of life; the ethics of abortion; assessing WHO death statistics; the potential personhood of foetuses; ancient Egyptian moustaches and beards; defining criteria for progress in human society; objectivity and subjectivity; Chicago futures trading developments; the virtues of cryonics technology; a U.S. Supreme Court case; important and unimportant knowledge; and spiritualist dualism vs. scientific materialism . NOTES: This work features elaborate footnotes and comments by the author, to enhance the reader's experience of the play and its philosophizing characters. (shrink)

There is, in some quarters, concern about high–level machine intelligence and superintelligent AI coming up in a few decades, bringing with it significant risks for humanity. In other quarters, these issues are ignored or considered science fiction. We wanted to clarify what the distribution of opinions actually is, what probability the best experts currently assign to high–level machine intelligence coming up within a particular time–frame, which risks they see with that development, and how fast they see these developing. We thus (...) designed a brief questionnaire and distributed it to four groups of experts in 2012/2013. The median estimate of respondents was for a one in two chance that high-level machine intelligence will be developed around 2040-2050, rising to a nine in ten chance by 2075. Experts expect that systems will move on to superintelligence in less than 30 years thereafter. They estimate the chance is about one in three that this development turns out to be ‘bad’ or ‘extremely bad’ for humanity. (shrink)

Some contextually sensitive expressions are such that their context independent conventional meanings need to be in some way supplemented in context for the expressions to secure semantic values in those contexts. As we’ll see, it is not clear that there is a paradigm here, but ‘he’ used demonstratively is a clear example of such an expression. Call expressions of this sort supplementives in order to highlight the fact that their context independent meanings need to be supplemented in context for them (...) to have semantic values relative to the context. Many philosophers and linguists think that there is a lot of contextual sensitivity in natural language that goes well beyond the pure indexicals and supplementives like ‘he’. Constructions/expressions that are good candidates for being contextually sensitive include: quantifiers, gradable adjectives including “predicates of personal taste”, modals, conditionals, possessives and relational expressions taking implicit arguments. It would appear that in none of these cases does the expression/construction in question have a context independent meaning that when placed in context suffices to secure a semantic value for the expression/construction in the context. In each case, some sort of supplementation is required to do this. Hence, all these expressions are supplementives in my sense. For a given supplementive, the question arises as to what the mechanism is for supplementing its conventional meanings in context so as to secure a semantic value for it in context. That is, what form does the supplementation take? The question also arises as to whether different supplementives require different kinds of supplementation. Let us call an account of what, in addition to its conventional meaning, secures a semantic value for a supplementive in context a metasemantics for that supplementive. So we can put our two questions thus: what is the proper metasemantics for a given supplementive; and do all supplementives have the same metasemantics? In the present work, I sketch the metasemantics I formulated for demonstratives in earlier work. Next, I briefly consider a number of other supplementives that I think the metasemantics I propose plausibly applies to and explain why I think that. Finally, I consider the prospects for extending the account to all supplementives. In so doing, I take up arguments due to Michael Glanzberg to the effect that supplementives are governed by two different metasemantics and attempt to respond to them. (shrink)

What sort of logic do we get if we adopt a supervaluational semantics for vagueness? As it turns out, the answer depends crucially on how the standard notion of validity as truth preservation is recasted. There are several ways of doing that within a supervaluational framework, the main alternative being between “global” construals (e.g., an argument is valid iff it preserves truth-under-all-precisifications) and “local” construals (an argument is valid iff, under all precisifications, it preserves truth). The former alternative is by (...) far more popular, but I argue in favor of the latter, for (i) it does not suffer from a number of serious objections, and (ii) it makes it possible to restore global validity as a defined notion. (shrink)

Will future lethal autonomous weapon systems (LAWS), or ‘killer robots’, be a threat to humanity? The European Parliament has called for a moratorium or ban of LAWS; the ‘Contracting Parties to the Geneva Convention at the United Nations’ are presently discussing such a ban, which is supported by the great majority of writers and campaigners on the issue. However, the main arguments in favour of a ban are unsound. LAWS do not support extrajudicial killings, they do not take responsibility away (...) from humans; in fact they increase the abil-ity to hold humans accountable for war crimes. Using LAWS in war would probably reduce human suffering overall. Finally, the availability of LAWS would probably not increase the probability of war or other lethal conflict—especially as compared to extant remote-controlled weapons. The widespread fear of killer robots is unfounded: They are probably good news. (shrink)

This book aims to develop certain aspects of Gottlob Frege’s theory of meaning, especially those relevant to intensional logic. It offers a new interpretation of the nature of senses, and attempts to devise a logical calculus for the theory of sense and reference that captures as closely as possible the views of the historical Frege. (The approach is contrasted with the less historically-minded Logic of Sense and Denotation of Alonzo Church.) Comparisons of Frege’s theory with those of Russell and others (...) are given. It is in the end shown that developing Frege’s theory in these ways reveals serious problems hitherto largely unnoticed, including those possibly rendering a Fregean intensional logic inconsistent even if his naïve class theory is excluded. (shrink)

The study assessed the conceptual understanding and attitude toward fractions of teacher education students in a socio-constructivist learning environment. Specifically, it determined the students’ level of conceptual understanding before and after instruction; verified the types of conceptual changes that occurred; and ascertained the attitude of students toward fractions before and after instruction and its relationship to their levels of understanding. Descriptive-correlational research method was used. Socio-constructivist context-based teaching method was employed to introduce the concept of fractions. Achievement tests and interviews (...) were administered to determine the students’ level of conceptual understanding. Conceptual analysis based on Jensen and Finley’s (1995) method with Tiberghien’s (1994) classification of changes was utilized to describe students’ conceptual understanding and conceptual changes. In order to determine their attitude on fractions, students were asked to answer the socio-constructivist attitude questionnaire. The level of conceptual understanding of teacher education students in fraction was functional misconception and partial understanding before and after instruction, respectively. The type of conceptual change that occurred among teacher education students was change for the better. Socio-constructivist learning more likely to improve students’ attitudes toward fractions; promoted prosocial behavior among students; and tend to increase students’ activeness in the classroom activities as evidenced. (shrink)

A discussion of a number of ways that information can be present in a computer program without being explicitly represented.

Cognitive penetration of perception is the idea that what we see is influenced by such states as beliefs, expectations, and so on. A perceptual belief that results from cognitive penetration may be less justified than a nonpenetrated one. Inferentialism is a kind of internalist view that tries to account for this by claiming that some experiences are epistemically evaluable, on the basis of why the perceiver has that experience, and the familiar canons of good inference provide the appropriate standards by (...) which experiences are evaluated. I examine recent defenses of inferentialism by Susanna Siegel, Peter Markie, and Matthew McGrath and argue that the prospects for inferentialism are dim. (shrink)

The two purposes of this essay. The general philosophical problem with most versions of social libertarianism and how this essay will proceed. The specific problem with liberty explained by a thought-experiment. The positive and abstract theory of interpersonal liberty-in-itself as ‘the absence of interpersonal initiated constraints on want-satisfaction’, for short ‘no initiated impositions’. The individualistic liberty-maximisation theory solves the problems of clashes, defences, and rectifications without entailing interpersonal utility comparisons or libertarian consequentialism. The practical implications of instantiating liberty: three rules (...) of liberty-in-practice, 1) initial ultimate control of one’s body, 2) initial ultimate control of one’s used resources, 3) consensual interpersonal interactions and resource transfers. These rules are economically efficient and maximise general want-satisfaction. Private property and legal remedies are additional practical institutional aspects, but to which ‘initiated impositions’ then apply prima facie. Libertarian law is often mistaken for complete libertarianism. Moral explanations are a separate issue. The three main moral theories imply libertarianism, but it can be morally posited independently of them. Critical rationalism and its application. No empirical or argumentative support for theories. An important ambiguity with ‘justification’. How the epistemology applies to the theory of liberty and its application but remains separable in principle. Conclusion: there are further published explanations but this should be enough to generate useful criticism. Appendix replying to some typical comments. (shrink)

The philosophy of AI has seen some changes, in particular: 1) AI moves away from cognitive science, and 2) the long term risks of AI now appear to be a worthy concern. In this context, the classical central concerns – such as the relation of cognition and computation, embodiment, intelligence & rationality, and information – will regain urgency.

Intentions are commonly conceived of as discrete mental states that are the direct cause of actions. In the last several decades, neuroscientists have taken up the project of finding the neural implementation of intentions, and a number of areas have been posited as implementing these states. We argue, however, that the processes underlying action initiation and control are considerably more dynamic and context sensitive than the concept of intention can allow for. Therefore, adopting the notion of ‘intention’ in neuroscientific explanations (...) can easily lead to misinterpretation of the data, and can negatively influence investigation into the neural correlates of intentional action.We suggest reinterpreting the mechanisms underlying intentional action, and we will discuss the elements that such a reinterpretation needs to account for. (shrink)

One finds, in Maxwell's writings on thermodynamics and statistical physics, a conception of the nature of these subjects that differs in interesting ways from the way that they are usually conceived. In particular, though—in agreement with the currently accepted view—Maxwell maintains that the second law of thermodynamics, as originally conceived, cannot be strictly true, the replacement he proposes is different from the version accepted by most physicists today. The modification of the second law accepted by most physicists is a probabilistic (...) one: although statistical fluctuations will result in occasional spontaneous differences in temperature or pressure, there is no way to predictably and reliably harness these to produce large violations of the original version of the second law. Maxwell advocates a version of the second law that is strictly weaker; the validity of even this probabilistic version is of limited scope, limited to situations in which we are dealing with large numbers of molecules en masse and have no ability to manipulate individual molecules. Connected with this is his concept of the thermodynamic concepts of heat, work, and entropy; on the Maxwellian view, these are concepts that must be relativized to the means we have available for gathering information about and manipulating physical systems. The Maxwellian view is one that deserves serious consideration in discussions of the foundation of statistical mechanics. It has relevance for the project of recovering thermodynamics from statistical mechanics because, in such a project, it matters which version of the second law we are trying to recover. (shrink)

Many believe that the rational evaluation of actions depends on the rational evaluation of even basic desires. Hume, though, viewed desires as "original existences" which cannot be contrary to either truth or reason. Contemporary critics of Hume, including Norman, Brandt and Parfit, have sought a basis for the rational evaluation of desires that would deny some basic desires reason-giving force. I side with Hume against these modern critics. Hume's concept of rational evaluation is admittedly too narrow; even basic desires are, (...) despite their nonrepresentational nature, subject to rational evaluation. But this evaluation is not relevant to their tendency to generate reasons for action, and does not undermine the spirit of the Humean view of rational action. (shrink)

One of the attractions of the Humean instrumentalist theory of practical rationality is that it appears to offer a special connection between an agent's reasons and her motivation. The assumption that Humeanism is able to assert a strong connection between reason and motivation has been challenged, most notably by Christine Korsgaard. She argues that Humeanism is not special in the connection it allows to motivation. On the contrary, Humean theories of practical rationality do connect reasons and motivation in a unique (...) and attractive way, though the nature of this connection has sometimes been misunderstood by both defenders and detractors of the theory. (shrink)

Neo-Humean instrumentalists hold that anagent's reasons for acting are grounded in theagent's desires. Numerous objections have beenleveled against this view, but the mostcompelling concerns the problem of ``aliendesires'' – desires with which the agent doesnot identify. The standard version ofneo-Humeanism holds that these desires, likeany others, generate reasons for acting. Avariant of neo-Humeanism that grounds anagent's reasons on her values, rather than allof her desires, avoids this implication, but atthe cost of denying that we have reasons to acton innocent whims. (...) A version of neo-Humeanismthat holds that an agent has reason to satisfyall of her desires that are not in conflictwith her values appears to allow us to grantthe reason-giving force of innocent whims whiledenying the reason-giving force of alien desires. (shrink)

That parthood is a transitive relation is among the most basic principles of classical mereology. Alas, it is also very controversial. In a recent paper, Ingvar Johansson has put forward a novel diagnosis of the problem, along with a corresponding solution. The diagnosis is on the right track, I argue, but the solution is misleading. And once the pieces are properly put together, we end up with a reinforcement of the standard defense of transitivity on behalf of classical mereology.

Techniques from behavioral economics—nudges—may help physicians increase pediatric vaccine compliance, but critics have objected that nudges can undermine autonomy. Since autonomy is a centrally important value in healthcare decision-making contexts, it counts against pediatric vaccination nudges if they undermine parental autonomy. Advocates for healthcare nudges have resisted the charge that nudges undermine autonomy, and the recent bioethics literature illustrates the current intractability of this debate. This article rejects a principle to which parties on both sides of this debate sometimes seem (...) committed: that nudges are morally permissible only if they are consistent with autonomy. Instead, I argue that, at least in the case of pediatric vaccination, some autonomy-undermining nudges may be morally justified. This is because parental autonomy in pediatric decision-making is not as morally valuable as the autonomy of adult patients, and because the interests of both the vaccinated child and other members of the community can sometimes be weighty enough to justify autonomy-infringing pediatric vaccination nudges. This article concludes with a set of worries about the effect of pediatric vaccination nudges on parent-physician relationships, and it calls on the American Academy of Pediatrics to draw on scientific and bioethics research to develop guidelines for the use of nudges in pediatric practice and, in particular, for the use of pediatric vaccination nudges. (shrink)

What should we make of claims by members of other groups to have moralities different from our own? Human Rights in Chinese Thought gives an extended answer to this question in the first study of its kind. It integrates a full account of the development of Chinese rights discourse - reaching back to important, though neglected, origins of that discourse in 17th and 18th century Confucianism - with philosophical consideration of how various communities should respond to contemporary Chinese claims about (...) the uniqueness of their human rights concepts. The book elaborates a plausible kind of moral pluralism and demonstrates that Chinese ideas of human rights do indeed have distinctive characteristics, but it nonetheless argues for the importance and promise of cross-cultural moral engagement. (shrink)

This paper defends the Intention Account of Inquiry. On this account, inquiry is best understood by appeal to a ‘question-directed intention’ (QDI), an intention to answer a question broadly construed. This account’s core commitments help meet recent challenges plaguing extant approaches to characterizing inquiry. First, QDIs are the type of mental state central to inquiry, not attitudes like curiosity or wonder. Second, holding a QDI towards a question and acting in service of it constitutes the start of inquiry. Third, controversial (...) norms which mandate a rational inquirer's ignorance towards the answer to her question can be reformulated and defended by appeal to rational constraints on intention. Fourth, instrumental pressures inquirers face are the standard pressures of plan-rationality. In defending these theses, I show that the Intention Account provides compelling explanations to standing challenges, in ways competitors cannot. It does so by advancing understanding of how our epistemic and practical agency are intertwined. (shrink)

This article discusses the adequacy of Rawls’ theory of justice as a tool for racial justice. It is argued that critics like Charles W Mills fail to appreciate both the insights and limits of the Rawlsian framework. The article has two main parts spread out over several different sections. The first is concerned with whether the Rawlsian framework suffices to prevent racial injustice. It is argued that there are reasons to doubt whether it does. The second part is concerned with (...) whether a Rawlsian framework has the resources to rectify past racial injustice. It is argued that it has more resources to do this than Mills allows. This second part of the article centers on two Rawlsian ideas: ideal theory and the fair equality of opportunity principle. It is argued that ideal theory is essential for the kind of rectificatory work that Mills wants nonideal theory to do, and that where there is a socioeconomic legacy of past injustice, it is hard to see how FEO could be implemented if it did no rectificatory work, a result which means that there is less need to turn to nonideal theory at all. (shrink)

In the first section, I characterize skeptical theism more fully. This is necessary in order to address some important misconceptions and mischaracterizations that appear in the essays by Maitzen, Wilks, and O’Connor. In the second section, I describe the most important objections they raise and group them into four “families” so as to facilitate an orderly series of responses. In the four sections that follow, I respond to the objections.

This paper investigates the prospects of Rodney Brooks’ proposal for AI without representation. It turns out that the supposedly characteristic features of “new AI” (embodiment, situatedness, absence of reasoning, and absence of representation) are all present in conventional systems: “New AI” is just like old AI. Brooks proposal boils down to the architectural rejection of central control in intelligent agents—Which, however, turns out to be crucial. Some of more recent cognitive science suggests that we might do well to dispose of (...) the image of intelligent agents as central representation processors. If this paradigm shift is achieved, Brooks’ proposal for cognition without representation appears promising for full-blown intelligent agents—Though not for conscious agents. (shrink)

Cognitive agents, whether human or computer, that engage in natural-language discourse and that have beliefs about the beliefs of other cognitive agents must be able to represent objects the way they believe them to be and the way they believe others believe them to be. They must be able to represent other cognitive agents both as objects of beliefs and as agents of beliefs. They must be able to represent their own beliefs, and they must be able to represent beliefs (...) as objects of beliefs. These requirements raise questions about the number of tokens of the belief representation language needed to represent believers and propositions in their normal roles and in their roles as objects of beliefs. In this paper, we explicate the relations among nodes, mental tokens, concepts, actual objects, concepts in the belief spaces of an agent and the agent's model of other agents, concepts of other cognitive agents, and propositions. We extend, deepen, and clarify our theory of intensional knowledge representation for natural-language processing, as presented in previous papers and in light of objections raised by others. The essential claim is that tokens in a knowledge-representation system represent only intensions and not extensions. We are pursuing this investigation by building CASSIE, a computer model of a cognitive agent and, to the extent she works, a cognitive agent herself. CASSIE's mind is implemented in the SNePS knowledge-representation and reasoning system. (shrink)

The theory that all processes in the universe are computational is attractive in its promise to provide an understandable theory of everything. I want to suggest here that this pancomputationalism is not sufficiently clear on which problem it is trying to solve, and how. I propose two interpretations of pancomputationalism as a theory: I) the world is a computer and II) the world can be described as a computer. The first implies a thesis of supervenience of the physical over computation (...) and is thus reduced ad absurdum. The second is underdetermined by the world, and thus equally unsuccessful as theory. Finally, I suggest that pancomputationalism as metaphor can be useful. – At the Paderborn workshop in 2008, this paper was presented as a commentary to the relevant paper by Gordana Dodig-Crnkovic " Info-Computationalism and Philosophical Aspects of Research in Information Sciences". (shrink)

In this introduction, before summarizing the contents of the volume, the authors characterize materialism as it is understood within the philosophy of mind, and they identify three respects in which materialism is on the wane.

We consider an ethical dilemma in global health: is it ethically acceptable to provide some patients cheaper treatments that are less effective or more toxic than the treatments other patients receive? We argue that it is ethical to consider local resource constraints when deciding what interventions to provide. The provision of cheaper, less effective health care is frequently the most effective way of promoting health and realizing the ethical values of utility, equality, and priority to the worst off.

Government’s use of imprisonment raises distinctive moral issues. Even if government has broad authority to make and to enforce law, government may not be entitled to use imprisonment as a punishment for all the criminal laws it is entitled to make. Indeed, there may be some serious crimes that it is wrong to punish with imprisonment, even if the conditions of imprisonment are humane and even if no adequate alternative punishments are available.

One way in which philosophers have often sought to distinguish moral judgments from non-moral judgments is by using the “moral-conventional” distinction. I seek to raise serious questions about the significance of the moral-conventional distinction, at least for philosophers interested in moral judgment. I survey recent developments in the fields of philosophy, psychology, and cognitive science that have led many to the conclusion that moral judgment is not a distinctive kind of judgment or the result of a specific, identifiable cognitive process. (...) I argue that if this conclusion is largely correct, the moral-conventional distinction loses significance. If moral judgment does not correspond to a distinctive cognitive process, it is unclear how distinguishing between types of norms tracks anything of significance to human judgment formation. I then discuss the implications of abandoning the distinction for research in the field of moral psychology and tentatively propose a more modest way of conceiving of norm significance. (shrink)

Certain commentators on Russell's “no class” theory, in which apparent reference to classes or sets is eliminated using higher-order quantification, including W. V. Quine and (recently) Scott Soames, have doubted its success, noting the obscurity of Russell’s understanding of so-called “propositional functions”. These critics allege that realist readings of propositional functions fail to avoid commitment to classes or sets (or something equally problematic), and that nominalist readings fail to meet the demands placed on classes by mathematics. I show that Russell (...) did thoroughly explore these issues, and had good reasons for rejecting accounts of propositional functions as extra-linguistic entities. I argue in favor of a reading taking propositional functions to be nothing over and above open formulas which addresses many such worries, and in particular, does not interpret Russell as reducing classes to language. (shrink)

Klein’s account of epistemic justification, infinitism, supplies a novel solution to the regress problem. We argue that concentrating on the normative aspect of justification exposes a number of unpalatable consequences for infinitism, all of which warrant rejecting the position. As an intermediary step, we develop a stronger version of the ‘finite minds’ objection.

Cognition is commonly taken to be computational manipulation of representations. These representations are assumed to be digital, but it is not usually specified what that means and what relevance it has for the theory. I propose a specification for being a digital state in a digital system, especially a digital computational system. The specification shows that identification of digital states requires functional directedness, either for someone or for the system of which it is a part. In the case or digital (...) representations, to be a token of a representational type, where the function of the type is to represent. [An earlier version of this paper was discussed in the web-conference "Interdisciplines" https://web.archive.org/web/20100221125700/http://www.interdisciplines.org/adaptation/papers/7 ]. (shrink)

In their correspondence in 1902 and 1903, after discussing the Russell paradox, Russell and Frege discussed the paradox of propositions considered informally in Appendix B of Russell’s Principles of Mathematics. It seems that the proposition, p, stating the logical product of the class w, namely, the class of all propositions stating the logical product of a class they are not in, is in w if and only if it is not. Frege believed that this paradox was avoided within his philosophy (...) due to his distinction between sense (Sinn) and reference (Bedeutung). However, I show that while the paradox as Russell formulates it is ill-formed with Frege’s extant logical system, if Frege’s system is expanded to contain the commitments of his philosophy of language, an analogue of this paradox is formulable. This and other concerns in Fregean intensional logic are discussed, and it is discovered that Frege’s logical system, even without its naive class theory embodied in its infamous Basic Law V, leads to inconsistencies when the theory of sense and reference is axiomatized therein. (shrink)

Religious belief and behavior raises the following two questions: (Q1) Does God, or any other being or state that is integral to various religious traditions, exist? (Q2) Why do humans have religious beliefs and engage in religious behavior? How one answers (Q2) can affect how reasonable individuals can be in accepting a particular answer to (Q1). My aim in this chapter is to carefully distinguish the various ways in which an answer to Q2 might affect the rationality of believing in (...) God. A literature has sprouted around this exact issue, but it has heretofore focused almost exclusively on one way in which a genealogy for p can affect the rationality of believing p – namely, by the genealogy functioning within a debunking argument. However, there are other ways a genealogy can affect the rationality of a belief. I suggest that we should be interested in whether genealogies more broadly cast doubt on religious beliefs. My main goal is: (i) to argue that CSR does not cast doubt on theistic belief in a few of the primary ways that propositions can cast doubt on other propositions, including via a debunking argument; and (ii) to suggest that one plausible way in which CSR might cast doubt on theistic belief is by undermining various traditional theistic reasons, and to illustrate how this might work with one example of a traditional theistic reason – religious experience. (shrink)

In these articles, I describe Cantor’s power-class theorem, as well as a number of logical and philosophical paradoxes that stem from it, many of which were discovered or considered (implicitly or explicitly) in Bertrand Russell’s work. These include Russell’s paradox of the class of all classes not members of themselves, as well as others involving properties, propositions, descriptive senses, class-intensions, and equivalence classes of coextensional properties. Part I focuses on Cantor’s theorem, its proof, how it can be used to manufacture (...) paradoxes, Frege’s diagnosis of the core difficulty, and several broad categories of strategies for offering solutions to these paradoxes. (shrink)

Floridi and Taddeo propose a condition of “zero semantic commitment” for solutions to the grounding problem, and a solution to it. I argue briefly that their condition cannot be fulfilled, not even by their own solution. After a look at Luc Steels' very different competing suggestion, I suggest that we need to re-think what the problem is and what role the ‘goals’ in a system play in formulating the problem. On the basis of a proper understanding of computing, I come (...) to the conclusion that the only sensible ground-ing problem is how we can explain and re-produce the behavioral ability and function of meaning in artificial computational agents. (shrink)

The paper presents a paradoxical feature of computational systems that suggests that computationalism cannot explain symbol grounding. If the mind is a digital computer, as computationalism claims, then it can be computing either over meaningful symbols or over meaningless symbols. If it is computing over meaningful symbols its functioning presupposes the existence of meaningful symbols in the system, i.e. it implies semantic nativism. If the mind is computing over meaningless symbols, no intentional cognitive processes are available prior to symbol grounding. (...) In this case, no symbol grounding could take place since any grounding presupposes intentional cognitive processes. So, whether computing in the mind is over meaningless or over meaningful symbols, computationalism implies semantic nativism. (shrink)

Pierre-Henri Castel provides a short but richly argued precis of his recently published two-volume 1,000-page masterwork on the history of obsessive-compulsive disorder. Having not read the as-yet-untranslated books, I write this commentary from Plato’s cave, trying to infer the reality of Castel’s analysis from expository shadows. I am unlikely to be more successful than Plato’s poor troglodytes, so I apologize ahead of time for any misunderstandings. Moreover, I cannot assess Castel’s detailed evidential case for his substantive theses.1 I thus focus (...) on some key philosophical issues that impinge on an area of my concern, the concept of mental disorder. Castel is a rare breed of French.. (shrink)

It is well known that the circumflex notation used by Russell and Whitehead to form complex function names in Principia Mathematica played a role in inspiring Alonzo Church's “lambda calculus” for functional logic developed in the 1920s and 1930s. Interestingly, earlier unpublished manuscripts written by Russell between 1903–1905—surely unknown to Church—contain a more extensive anticipation of the essential details of the lambda calculus. Russell also anticipated Schönfinkel's combinatory logic approach of treating multiargument functions as functions having other functions as value. (...) Russell’s work in this regard seems to have been largely inspired by Frege’s theory of functions and “value-ranges”. This system was discarded by Russell due to his abandonment of propositional functions as genuine entities as part of a new tack for solving Russell’s paradox. In this article, I explore the genesis and demise of Russell’s early anticipation of the lambda calculus. (shrink)

This is the editorial for a special volume of JETAI, featuring papers by Omohundro, Armstrong/Sotala/O’Heigeartaigh, T Goertzel, Brundage, Yampolskiy, B. Goertzel, Potapov/Rodinov, Kornai and Sandberg. - If the general intelligence of artificial systems were to surpass that of humans significantly, this would constitute a significant risk for humanity – so even if we estimate the probability of this event to be fairly low, it is necessary to think about it now. We need to estimate what progress we can expect, what (...) the impact of superintelligent machines might be, how we might design safe and controllable systems, and whether there are directions of research that should best be avoided or strengthened. (shrink)

In this paper I explore a position on which it is possible to eliminate the need for postulating abstract objects through abstraction principles by treating terms for abstracta as ‘incomplete symbols’, using Russell's no-classes theory as a template from which to generalize. I defend views of this stripe against objections, most notably Richard Heck's charge that syntactic forms of nominalism cannot correctly deal with non-first-orderizable quantifcation over apparent abstracta. I further discuss how number theory may be developed in a system (...) treating apparent terms for numbers using these definitions. (shrink)

Analytic epistemologists agree that, whatever else is true of epistemic justification, it is distinct from knowledge. However, if recent work by Jonathan Sutton is correct, this view is deeply mistaken, for according to Sutton justification is knowledge. That is, a subject is justified in believing that p iff he knows that p. Sutton further claims that there is no concept of epistemic justification distinct from knowledge. Since knowledge is factive, a consequence of Sutton’s view is that there are no false (...) justified beliefs. <br> Following Sutton, I will begin by outlining kinds of beliefs that do not constitute knowledge but that seem to be justified. I will then be in a position to critically evaluate Sutton’s arguments for his position that justification is knowledge, concluding that he fails to establish his bold thesis. In the course of so doing, I will defend the following rule of assertion: (The JBK-rule) One must: assert p only if one has justification to believe that one knows that p.<br>. (shrink)

Abstract: According to certain dispositional accounts of meaning, an agent's meaning is determined by the dispositions that an idealized version of this agent has in optimal conditions. We argue that such attempts cannot properly fix meaning. For even if there is a way to determine which features of an agent should be idealized without appealing to what the agent means, there is no non-circular way to determine how those features should be idealized. We sketch an alternative dispositional account that avoids (...) this problem, according to which an agent's meaning is determined by the dispositions that an abstract version of this agent has in optimal conditions. (shrink)