In common with traditional forms of epistemic internalism, epistemological disjunctivism attempts to incorporate an awareness condition on justification. Unlike traditional forms of internalism, however, epistemological disjunctivism rejects the so-called New Evil Genius thesis. In so far as epistemological disjunctivism rejects the New Evil Genius thesis, it is revisionary. -/- After explaining what epistemological disjunctivism is, and how it relates to traditional forms of epistemic internalism / externalism, I shall argue that the epistemological disjunctivist’s account of the intuitions underlying the New (...) Evil Genius thought experiment is at best incomplete. As presented, therefore, epistemological disjunctivism is unable to accommodate the core guiding intuitions of epistemic internalism. Given the stated aim of not being revisionary on this score, the view is at a dialectical disadvantage over the traditional forms of epistemic internalism the position is meant to replace. Unfortunately, therefore, at present, the impasse between internalism and externalism remains. (shrink)

This chapter will review selected aspects of the terrain of discussions about probabilities in statistical mechanics (with no pretensions to exhaustiveness, though the major issues will be touched upon), and will argue for a number of claims. None of the claims to be defended is entirely original, but all deserve emphasis. The first, and least controversial, is that probabilistic notions are needed to make sense of statistical mechanics. The reason for this is the same reason that convinced Maxwell, Gibbs, and (...) Boltzmann that probabilities would be needed, namely, that the second law of thermodynamics, which in its original formulation says that certain processes are impossible, must, on the kinetic theory, be replaced by a weaker formulation according to which what the original version deems impossible is merely improbable. Second is that we ought not take the standard measures invoked in equilibrium statistical mechanics as giving, in any sense, the correct probabilities about microstates of the system. We can settle for a much weaker claim: that the probabilities for outcomes of experiments yielded by the standard distributions are effectively the same as those yielded by any distribution that we should take as a representing probabilities over microstates. Lastly, (and most controversially): in asking about the status of probabilities in statistical mechanics, the familiar dichotomy between epistemic probabilities (credences, or degrees of belief) and ontic (physical) probabilities is insufficient; the concept of probability that is best suited to the needs of statistical mechanics is one that combines epistemic and physical considerations. (shrink)

Intersectionality has become the primary analytic tool that feminist and anti-racist scholars deploy for theorizing identity and oppression. This paper exposes and critically interrogates the assumptions underpinning intersectionality by focusing on four tensions within intersectionality scholarship: the lack of a defined intersectional methodology; the use of black women as quintessential intersectional subjects; the vague definition of intersectionality; and the empirical validity of intersectionality. Ultimately, my project does not seek to undermine intersectionality; instead, I encourage both feminist and anti-racist scholars to (...) grapple with intersectionality's theoretical, political, and methodological murkiness to construct a more complex way of theorizing identity and oppression. (shrink)

According to certain kinds of semantic dispositionalism, what an agent means by her words is grounded by her dispositions to complete simple tasks. This sort of position is often thought to avoid the finitude problem raised by Kripke against simpler forms of dispositionalism. The traditional objection is that, since words possess indefinite (or infinite) extensions, and our dispositions to use words are only finite, those dispositions prove inadequate to serve as ground for what we mean by our words. I argue (...) that, even if such positions (emphasizing simple tasks) avoid the traditional form of Kripke's charge, they still succumb to special cases of the finitude problem. Furthermore, I show how such positions can be augmented so as to avoid even these special cases. Doing so requires qualifying the dispositions of interest as those possessed by the abstracted version of an actual agent (in contrast to, say, an idealized version of the agent). In addition to avoiding the finitude problem in its various forms, the position that results provides new materials for appreciating the role that abstracting models can play for a dispositionalist theory of meaning. (shrink)

In this paper, the issues of computability and constructivity in the mathematics of physics are discussed. The sorts of questions to be addressed are those which might be expressed, roughly, as: Are the mathematical foundations of our current theories unavoidably non-constructive: or, Are the laws of physics computable?

Thomas Hill famously argued that what really bothers us about environmental degradation is best discovered by asking “What kind of person would do such a thing?” Beliefs, some of which are blameworthy, are among the things that define what kind of person one is. What we care about is reflected in whether one’s epistemic practices align with one’s core moral convictions and common standards of decency. Our moral sensitivities are reflected in what we attend to and reflect upon. What we (...) do not notice can be a result of culpable indifference or self-deception. Environmental beliefs formed with negligent disregard for the risks they create for others are reflections of a vicious moral character. Beliefs of citizens have consequences. They determine what politicians will respond to and what policies they will introduce. Ideological commitments have been shown to influence what one takes to be the facts about risks. When the ethical dimensions of environmental beliefs and ignorance are unchallenged society drifts morally. Emphasizing the relationship between commonly shared moral convictions (more basic than ideological commitments) and risky environmental beliefs and actions has more potential to create environmental awareness than the current focus on environmental science and the economic benefits of better environmental policies. (shrink)

Russell claims in his autobiography and elsewhere that he discovered his 1905 theory of descriptions while attempting to solve the logical and semantic paradoxes plaguing his work on the foundations of mathematics. In this paper, I hope to make the connection between his work on the paradoxes and the theory of descriptions and his theory of incomplete symbols generally clearer. In particular, I argue that the theory of descriptions arose from the realization that not only can a class not be (...) thought of as a single thing, neither can the meaning/intension of any expression capable of singling out one collection (class) of things as opposed to another. If this is right, it shows that Russell’s method of solving the logical paradoxes is wholly incompatible with anything like a Fregean dualism between sense and reference or meaning and denotation. I also discuss how this realization lead to modifications in his understanding of propositions and propositional functions, and suggest that Russell’s confrontation with these issues may be instructive for ongoing research. (shrink)

This essay argues that reparations for wrongs by one's ancestors can be justified. Differential benefits to those descended from victims of one's ancestors is discrimination which can be justified by one's right to be partial to one's ancestors, doing what they, with clearer thinking, would have done--namely compensating their victims. So, while there is no obligation to discriminate, one has a right to, in virtue of one's partiality towards one's ancestors.

It has been hypothesized that our believing that, or its seeming to us as though, the world is in some way dynamical partially explains (and perhaps rationalizes) future-bias. Recent work has, in turn, found a correlation between future-bias and near-bias, suggesting that there is a common explanation for both. Call the claim that what partially explains our being both future- and near-biased is our believing/it seeming to us as though the world is dynamical, the dynamical explanation. We empirically test two (...) versions of the dynamical explanation. The first is the moving ego explanation—according to which it is our belief that the ego moves, or our phenomenology as of the ego moving, that jointly (partially) explains future- and near-bias. The second is the moving time explanation—according to which it is our belief that time robustly passes, or our phenomenology as of robust passage, which jointly (partially) explain future- and near-bias. We found no evidence in favour of either explanation. (shrink)

We draw out significant consequences of a relatively popular theory of metaphysical modality—branching actualism—for cosmological arguments for God’s existence. According to branching actualism, every possible world shares an initial history with the actual world and diverges only because causal powers (or dispositions, or some such) are differentially exercised. We argue that branching actualism undergirds successful responses to two recent cosmological arguments: the Grim Reaper Kalam argument and a modal argument from contingency. We also argue that branching actualism affords a response (...) to one popular defense of the classic contingency argument. What results are new difficulties for several cosmological arguments arising from the metaphysics of modality. (shrink)

My aim in this article is to challenge the standard North American diet’s (SAD) default status in church and among North American Christians generally. First, I explain what is at stake in my guiding question—“Is unrestrained omnivorism as typified by SAD spiritually beneficial?”—and then I attempt to allay some common skeptical concerns about the suitability of food ethics as a topic for serious Christian discernment. Second, I develop a prima facie case that SAD is not spiritually beneficial, drawing on five (...) traditional sources for Christian moral deliberation, including and especially general revelation and discernment of the fruits of the spirit. I conclude that, in the absence of a rebuttal vindicating SAD, the church should actively encourage Christians to adopt more redemptive eating habits, and Christians who are able should take action toward this end. (shrink)

A self-fulfilling prophecy is, roughly, a prediction that brings about its own truth. Although true predictions are hard to fault, self-fulfilling prophecies are often regarded with suspicion. In this article, we vindicate this suspicion by explaining what self-fulfilling prophecies are and what is problematic about them, paying special attention to how their problems are exacerbated through automated prediction. Our descriptive account of self-fulfilling prophecies articulates the four elements that define them. Based on this account, we begin our critique by showing (...) that typical self-fulfilling prophecies arise due to mistakes about the relationship between a prediction and its object. Such mistakes—along with other mistakes in predicting or in the larger practical endeavor—are easily overlooked when the predictions turn out true. Thus we note that self-fulfilling prophecies prompt no error signals; truth shrouds their mistakes from humans and machines alike. Consequently, self-fulfilling prophecies create several obstacles to accountability for the outcomes they produce. We conclude our critique by showing how failures of accountability, and the associated failures to make corrections, explain the connection between self-fulfilling prophecies and feedback loops. By analyzing the complex relationships between accuracy and other evaluatively significant features of predictions, this article sheds light both on the special case of self-fulfilling prophecies and on the ethics of prediction more generally. (shrink)

What is the phenomenology of hope? A common view is that hope has a generally positive and pleasant affective tone. This rosy depiction, however, has recently been challenged. Certain hopes, it has been objected, are such that they are either entirely negative in valence or neutral in tone. In this paper, I argue that this challenge has only limited success. In particular, I show that it only applies to one sense of hope but leaves another sense—one that is implicitly but (...) widely employed in the hope literature—untouched. Moreover, I argue that hope construed in this latter sense is inherently positively valenced. The paper concludes by discussing some of the implications of this defense of hope's positive phenomenology, including the ontological question of whether hope is an emotion. (shrink)

This article distinguishes between Machian empiricism and the logical positivism of the Vienna Circle and associated philosophers. Mach's natural philosophy was a first order attempt to reform and reorganize physics, not a second order reconstruction of the "language" of physics. Mach's elements were not sense data but realistic events in the natural world and in minds, and Mach admitted unobserved elements as part of his world view. Mach's critique of metaphysics was far more subtle and concerned the elimination of sensory (...) visual imagery from natural science, leaving only concrete elements and functions, very much an inspiration to the young Einstein and Heisenberg and a useful engine of theory construction in physics. (shrink)

Pojęcie niszy (otoczenia, kontekstu, siedliska, środowiska) nie cieszy się specjalnym zainteresowaniem ontologów, mimo że ma szerokie zastosowanie w rozmaitych dyscyplinach, od biologii ewolucyjnej po ekonomię. Niniejszy artykuł zawiera pierwszą teorię formalną tego pojęcia — teorię relacji pomiędzy przedmiotami a ich niszami. Teoria ta opiera się na istniejącym dorobku mereologii, topologii i teorii lokalizacji przestrzennej, które są narzędziami ontologii formalnej. Jest ona tutaj ilustrowana głównie za pomocą prostych przykładów z biologii, ale pojęcie niszy należy rozumieć — podobnie jak pojęcia części, granicy (...) i położenia — jako pojęcie strukturalne, znajdujące zastosowanie w obszernym zakresie różnych dziedzin. (shrink)

Leibniz claimed that the universe, if God-created, would be physically and morally optimal in this conjoint sense: Of all possible worlds, it would be richest in phenomena, but its richness would arise from the simplest physical laws and conditions. This claim raises two difficult questions. First, why would this “richest/simplest” world be morally optimal? Second, what is the optimal balance between these competing criteria? The latter question is especially hard to answer in the context of a multiverse or multi-domain universe. (...) Leibniz focused on goodness as God’s motive in creation. “This is the cause of the existence of the best: that his wisdom makes it known to God, his goodness makes him choose it, and his power lets him produce it.” This article suggests that love is God’s motive. Since love entails acting to both benefit and be with the beloved, limitless love would entail God’s becoming as much unified reality as possible. The physical laws that govern the universe and its vast richness of phenomena appear to be those that we should expect if this claim is true and there are ways of testing the closeness of this fit. The claim that God has become the world (pandeism) also offers a satisfying resolution to the problem of evil. (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)

It is often thought that acquiring a phenomenal concept requires having the relevant sort of experience. In "Extending Phenomenal Concepts", Andreas Elpidorou defends this position from an objection raised by Michael Tye (in "Consciousness Revisited: Materialism without Phenomenal Concepts"). Here, I argue that Elpidorou fails to attend to important supporting materials introduced by Tye.

I focus on three mereological principles: the Extensionality of Parthood (EP), the Uniqueness of Composition (UC), and the Extensionality of Composition (EC). These principles are not equivalent. Nonetheless, they are closely related (and often equated) as they all reflect the basic nominalistic dictum, No difference without a difference maker. And each one of them—individually or collectively—has been challenged on philosophical grounds. In the first part I argue that such challenges do not quite threaten EP insofar as they are either self-defeating (...) or unsupported. In the second part I argue that they hardly undermine the tenability of EC and UC as well. (shrink)

Some provisions of the UN’s Convention on the Elimination of Discrimination Against Women (CEDAW) are clearly important from the perspective of business ethics, particularly those calling for equal rights for women to employment and financial security. Some other provisions of CEDAW are equally as important for ethical business practices and Corporate Social Responsibility (CSR), but are frequently overlooked because of the presumption that they are not strictly business concerns: the rights of women to participation in public life, marriage, and family (...) rights; the rights of rural women to adequate living conditions; and general rights to equality. This chapter will discuss the conceptual commitments that underlie the assumption of a clear demarcation between work and life concerns, and examine the criticisms of this assumption made by feminism. It will, in particular, be interested in: -/- • The public/private distinction • The meaning of “work” or “labor” • The relationship between CSR and care ethics • Fostering a broader understanding of the family or familial relations • Examining the connection between fair wages and work/life integration -/- These discussions suggest that the ability for businesses worldwide to uphold the tenets of CEDAW is dependent upon a reconsideration of the character of the Ideal Worker and a nuanced understanding of the effects of workplace policies on the wider communities in which businesses operate. In particular, though work/life integration is not strictly speaking a “women’s issue,” the ethical and policy considerations addressed herein currently have disproportionately negative effects for women; thus, addressing them is crucial for achieving the aims of gender equality. (shrink)

Kukathas’s proposed libertarian dilemma is introduced and two key criticisms of it stated. The following critical commentary then makes several main points. Kukathas’s account of libertarianism offers no theory of liberty at all, nor a coherent account of aggression. Consequently, he cannot see that his “Federation of Liberty” is not libertarian by a basic understanding of morals and non-invasive liberty, still less by a more precise theory of liberty. In trying to explain his “Union of Liberty,” Kukathas evinces considerable confusion (...) about the nature of libertarianism. His argument that a monopoly legal system is inevitable is also neither plausible nor libertarian. He has apparently overlooked the cogent arguments against Nozickian minarchy, and in favor of anarchy. It is concluded that the neglect of libertarian theories of liberty and anarchy is the underlying problem. (shrink)

In her 2004 book Carol Gould addresses the fundamental issue of democratizing globalization, that is to say of finding ways to open transnational institutions and communities to democratic participation by those widely affected by their decisions. The book develops a framework for expanding participation in crossborder decisions, arguing for a broader understanding of human rights and introducing a new role for the ideas of care and solidarity at a distance. Reinterpreting the idea of universality to accommodate a multiplicity of cultural (...) perspectives, the author takes up a number of applied issues, including the persistence of racism, cultural rights, women's human rights, the democratic management of firms, the use of the Internet to enhance political participation, and the importance of empathy and genuine democracy in understanding terrorism and responding to it. Accessibly written with a minimum of technical jargon this is a major contribution to political philosophy. (shrink)

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)

I argue that Universalism (the thesis that mereological composition is unrestricted) entails Extensionalism (the thesis that sameness of composition is sufficient for identity) as long as the parthood relation is transitive and satisfies the Weak Supplementation principle (to the effect that whenever a thing has a proper part, it has another part disjoint from the first).

This paper presents the main topics, arguments, and positions in the philosophy of AI at present (excluding ethics). Apart from the basic concepts of intelligence and computation, the main topics of ar-tificial cognition are perception, action, meaning, rational choice, free will, consciousness, and normativity. Through a better understanding of these topics, the philosophy of AI contributes to our understand-ing of the nature, prospects, and value of AI. Furthermore, these topics can be understood more deeply through the discussion of AI; so (...) we suggest that “AI Philosophy” provides a new method for philosophy. (shrink)

There are quite a few studies on late Bolzano’s notion of a collection (Inbegriff). We try to broaden the perspective by introducing the forerunner of collections in Bolzano’s early writings, namely the entities referred to by expressions with the technical term ‘et’. Special emphasis is laid on the question whether these entities are set-theoretical or mereological plenties. Moreover, similarities and differences to Bolzano’s mature conception are pointed out.

Neutral monism is a position in metaphysics defended by Mach, James, and Russell in the early twentieth century. It holds that minds and physical objects are essentially two different orderings of the same underlying neutral elements of nature. This paper sets out some of the central concepts, theses and the historical background of ideas that inform this doctrine of elements. The discussion begins with the classic neutral monism of Mach, James, and Russell in the first part of the paper, then (...) considers recent neo-Russellian versions in the second half. The chances for a revival of neutral monism are probably slight; its key ideas and starting points lie far from those in contemporary philosophy of mind. A better route might be through the philosophy of science and a deeper understanding of causation. (shrink)

Concordance of the poetic works of Giorgos Seferis which presents all the principal “words” of the texts in an alphabetical list, stating how often each word occurs, giving a precise location and a relevant piece of text for each occurrence. We found ca. 9500 different Greek words in 39000 different occurrences, so our concordance has 50.000 lines of text. The technical procedure required four main steps: text entry and tagging, production of the concordance, correction of the contexts, formatting for print.

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.

Some environmental ethicists and economists argue that attributing infinite value to the environment is a good way to represent an absolute obligation to protect it. Others argue against modelling the value of the environment in this way: the assignment of infinite value leads to immense technical and philosophical difficulties that undermine the environmentalist project. First, there is a problem of discrimination: saving a large region of habitat is better than saving a small region; yet if both outcomes have infinite value, (...) then decision theory prescribes indifference. Second, there is a problem of swamping probabilities: an act with a small but positive probability of saving an endangered species appears to be on par with an act that has a high probability of achieving this outcome, since both have infinite expected value. Our paper shows that a relative concept of infinite value can be meaningfully defined, and provides a good model for securing the priority of the natural environment while avoiding the failures noted by sceptics about infinite value. Our claim is not that the relative infinity utility model gets every detail correct, but rather that it provides a rigorous philosophical framework for thinking about decisions affecting the environment. (shrink)

This chapter first surveys general issues in the epistemic internalism / externalism debate: what is the distinction, what motivates it, and what arguments can be given on both sides. -/- The second part of the chapter will examine the internalism / externalism debate as regards to the specific case of the epistemology of memory belief.

When our smartphones distract us, much more is at stake than a momentary lapse of attention. Our use of smartphones can interfere with the building-blocks of meaningfulness and the actions that shape our self-identity. -/- By analyzing social interactions and evolving experiences, Roholt reveals the mechanisms of smartphone-distraction that impact our meaningful projects and activities. Roholt’s conception of meaning in life draws from a disparate group of philosophers—Susan Wolf, John Dewey, Hubert Dreyfus, Martin Heidegger, and Albert Borgmann. Central to Roholt’s (...) argument are what Borgmann calls focal practices: dinners with friends, running, a college seminar, attending sporting events. As a recurring example, Roholt develops the classification of musical instruments as focal things, contending that musical performance can be fruitfully understood as a focal practice. -/- Through this exploration of what generates meaning in life, Roholt makes us rethink the place we allow smartphones to occupy in the everyday. But he remains cautiously optimistic. This thoughtful, needed interrogation of smartphones shows how we can establish a positive role for technologies within our lives. (shrink)

This paper offers an overview of the prospects and ethics of using AI to achieve human enhancement, and more broadly what we call intellectual augmentation (IA). After explaining the central notions of human enhancement, IA, and AI, we discuss the state of the art in terms of the main technologies for IA, with or without brain-computer interfaces. Given this picture, we discuss potential ethical problems, namely inadequate performance, safety, coercion and manipulation, privacy, cognitive liberty, authenticity, and fairness in more detail. (...) We conclude that while there are very significant technical hurdles to real human enhancement through AI, and significant ethical problems, there are also significant benefits that may realistically be achieved in ways that are consonant with a rights-based ethics as well. We also highlight the specific concerns that apply particularly to applications of AI for "sheer" IA (more realistic in the near term), and to enhancement applications, respectively. (shrink)

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)

Psychopaths routinely disregard social norms by engaging in selfish, antisocial, often violent behavior. Commonly characterized as mentally disordered, recent evidence suggests that psychopaths are executing a well-functioning, if unscrupulous strategy that historically increased reproductive success at the expense of others. Natural selection ought to have favored strategies that spared close kin from harm, however, because actions affecting the fitness of genetic relatives contribute to an individual’s inclusive fitness. Conversely, there is evidence that mental disorders can disrupt psychological mechanisms designed to (...) protect relatives. Thus, mental disorder and adaptation accounts of psychopathy generate opposing hypotheses: psychopathy should be associated with an increase in the victimization of kin in the former account but not in the latter. Contrary to the mental disorder hypothesis, we show here in a sample of 289 violent offenders that variation in psychopathy predicts a decrease in the genetic relatedness of victims to offenders; that is, psychopathy predicts an increased likelihood of harming non-relatives. Because nepotistic inhibition in violence may be caused by dispersal or kin discrimination, we examined the effects of psychopathy on (1) the dispersal of offenders and their kin and (2) sexual assault frequency (as a window on kin discrimination). Although psychopathy was negatively associated with coresidence with kin and positively associated with the commission of sexual assault, it remained negatively associated with the genetic relatedness of victims to offenders after removing cases of offenders who had coresided with kin and cases of sexual assault from the analyses. These results stand in contrast to models positing psychopathy as a pathology, and provide support for the hypothesis that psychopathy reflects an evolutionary strategy largely favoring the exploitation of non-relatives. (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.

In he Problems of Philosophy and other works of the same period, Russell claims that every proposition must contain at least one universal. Even fully general propositions of logic are claimed to contain “abstract logical universals”, and our knowledge of logical truths claimed to be a species of a priori knowledge of universals. However, these views are in considerable tension with Russell’s own philosophy of logic and mathematics as presented in Principia Mathematica. Universals generally are qualities and relations, but if, (...) for example, PM’s disjunction (∨) is a relation, what is it a relation between? There is no obvious answer to this given Russell’s other philosophical commitments at this time, although hints are left in some of the pre-PM manuscripts. In this paper, I explore this tension in Russell's philosophy and relate it to developments both before and after Problems. (shrink)

In discussing whether legal systems are necessarily coercive, legal philosophers usually appeal to thought experiments involving angels or other morally driven beings who need no coercion to organise their social lives. Such appeals have invited criticism. Critics have not only challenged the relevance of such thought experiments to our understanding of legal systems; they have also argued that, contrary to the intuitions of most legal philosophers, the ‘man on the Clapham Omnibus’ would not hold that there is law in a (...) society of angels because the view that law is necessarily coercive ‘enjoys widespread support among laypersons’. This is obviously an empirical claim. Critics, however, never systematically polled the ‘man on the Clapham Omnibus’. We boarded that bus. This article discusses findings from five empirical studies on the relationship between law and coercion. (shrink)

In the present article, he explains why divine silence poses a serious intellectual obstacle to belief in God, and then goes on to consider ways of overcoming that obstacle. After considering several ways in which divine silence might actually be beneficial to human beings, he argues that perhaps silence is nothing more or less than God’s preferred mode of interaction with creatures like us. Perhaps God simply desires communion rather than overt communication with human beings, and perhaps God has provided (...) ways for us to experience God’s presence richly even amidst the silence. (shrink)

The paper proposes a new technique for dealing with multi-attribute decision making problems through an extended TOPSIS method under neutrosophic cubic environment. Neutrosophic cubic set is the generalized form of cubic set and is the hybridization of a neutrosophic set with an interval neutrosophic set. In this study, we have defined some operation rules for neutrosophic cubic sets and proposed the Euclidean distance between neutrosophic cubic sets. In the decision making situation, the rating of alternatives with respect to some predefined (...) attributes are presented in terms of neutrosophic cubic information where weights of the attributes are completely unknown. In the selection process, neutrosophic cubic positive and negative ideal solutions have been defined. An extended TOPSIS method is then proposed for ranking the alternatives and finally choosing the best one. Lastly, an illustrative example is solved to demonstrate the decision making procedure and effectiveness of the developed approach. (shrink)

A new proof style adequate for modal logics is defined from the polynomial ring calculus. The new semantics not only expresses truth conditions of modal formulas by means of polynomials, but also permits to perform deductions through polynomial handling. This paper also investigates relationships among the PRC here defined, the algebraic semantics for modal logics, equational logics, the Dijkstra???Scholten equational-proof style, and rewriting systems. The method proposed is throughly exemplified for S 5, and can be easily extended to other modal (...) logics. (shrink)

Analytic philosophy has been perhaps the most successful philosophical movement of the twentieth century. While there is no one doctrine that defines it, one of the most salient features of analytic philosophy is its reliance on contemporary logic, the logic that had its origin in the works of George Boole and Gottlob Frege and others in the mid‐to‐late nineteenth century. Boolean algebra, the heart of Boole's contributions to logic, has also come to represent a cornerstone of modern computing. Frege had (...) broad philosophical interests, and his writings on the nature of logical form, meaning and truth remain the subject of intense theoretical discussion, especially in the analytic tradition. Frege's works, and the powerful new logical calculi developed at the end of the nineteenth century, influenced many of its most seminal figures, such as Bertrand Russell, Ludwig Wittgenstein and Rudolf Carnap. (shrink)

The concern of deductive logic is generally viewed as the systematic recognition of logical principles, i.e., of logical truths. This paper presents and analyzes different instantiations of the three main interpretations of logical principles, viz. as ontological principles, as empirical hypotheses, and as true propositions in virtue of meanings. I argue in this paper that logical principles are true propositions in virtue of the meanings of the logical terms within a certain linguistic framework. Since these principles also regulate and control (...) the process of deduction in inquiry, i.e., they are prescriptive for the use of language and thought in inquiry, I argue that logic may, and should, be seen as an instrument or as a way of proceeding (modus procedendi) in inquiry. (shrink)

This chapter explores the metaphysical views about higher-order logic held by two individuals responsible for introducing it to philosophy: Gottlob Frege (1848–1925) and Bertrand Russell (1872–1970). Frege understood a function at first as the remainder of the content of a proposition when one component was taken out or seen as replaceable by others, and later as a mapping between objects. His logic employed second-order quantifiers ranging over such functions, and he saw a deep division in nature between objects and functions. (...) Russell understood propositional functions as what is obtained when constituents of propositions are replaced by variables, but eventually denied that they were entities in their own right. Both encountered contradictions when supposing there to exist as many objects as functions, and both adopted views about the meaningfulness of higher-order discourse that were difficult to state from within their own strictures. (shrink)

A review of the volume that brings together K.R. Popper's writings on deductive logic and its foundations. I emphasize Popper's inferentialist position in his earlier articles and Carnap's influence on many of his logical ideas (an interesting letter from Carnap to Popper is also summarised in the review).

Bertrand Russell was one of the best-known proponents of logicism: the theory that mathematics reduces to, or is an extension of, logic. Russell argued for this thesis in his 1903 The Principles of Mathematics and attempted to demonstrate it formally in Principia Mathematica (PM 1910–1913; with A. N. Whitehead). Russell later described his work as a further “regressive” step in understanding the foundations of mathematics made possible by the late 19th century “arithmetization” of mathematics and Frege’s logical definitions of arithmetical (...) concepts. The logical system of PM sought to improve on earlier attempts by solving the contradictions found in, e.g., Frege’s system, by employing a theory of types. In this article, I also consider and critically evaluate the most common objections to Russell’s logicism, including the claim that it is undermined by Gödel’s incompleteness results, and Putnam's charge of “if-thenism”. I suggest that if we are willing to accept a slightly revisionist account of what counts as a mathematical truth, these criticisms do not obviously refute Russell’s claim to have established that mathematical truths generally are a species of logical truth. (shrink)