Yuri Matiyasevich's theorem states that the set of all Diophantine equations which have a solution in non-negative integers is not recursive. Craig Smoryński's theorem states that the set of all Diophantine equations which have at most finitely many solutions in non-negative integers is not recursively enumerable. Let R be a subring of Q with or without 1. By H_{10}(R), we denote the problem of whether there exists an algorithm which for any given Diophantine equation with integer coefficients, (...) can decide whether or not the equation has a solution in R. We prove that a positive solution to H_{10}(R) implies that the set of all Diophantine equations with a finite number of solutions in R is recursively enumerable. We show the converse implication for every infinite set R \subseteq Q such that there exist computable functions \tau_1,\tau_2:N \to Z which satisfy (\forall n \in N \tau_2(n) \neq 0) \wedge ({\frac{\tau_1(n)}{\tau_2(n)}: n \in N}=R). This implication for R=N guarantees that Smoryński's theorem follows from Matiyasevich's theorem. Harvey Friedman conjectures that the set of all polynomials of several variables with integer coefficients that have a rational solution is not recursive. Harvey Friedman conjectures that the set of all polynomials of several variables with integer coefficients that have only finitely many rational solutions is not recursively enumerable. These conjectures are equivalent by our results for R=Q. (shrink)

Exploratory factor analysis (EFA) of the Psychopathic Personality Inventory (PPI; S. O. Lilienfeld, 1990; S. O. Lilienfeld & B. P. Andrews, 1996) with a community sample has suggested that the PPI subscales may comprise 2 higher order factors (S. D. Benning, C. J. Patrick, B. M. Hicks, D. M. Blonigen, & R. F. Krueger, 2003). However, substantive and structural evidence raises concerns about the viability of this 2-factor model, particularly in offender populations. The authors attempted to replicate the S. D. (...) Benning et al. 2-factor solution using a large (N= 1,224) incarcerated male sample. Confirmatory factor analysis of this model resulted in poor model fit. Similarly, using the same EFA procedures as did S. D. Benning et al., the authors found little evidence for a 2-factor model. When they followed the recommendations of J.-W. van Prooijen and W. A. van der Kloot (2001) for recovering EFA solutions, model fit results provided some evidence that a 3-factor EFA solution could be recovered via confirmatory factor analysis. (shrink)

This chapter offers an interpretation of Gottfried Wilhelm Leibniz’s idealism. Despite Leibniz’s frequent claim that the universe ultimately boils down to monads, he also sometimes appears to say that the world’s fundamental furniture includes extended, corporeal substances. Here, I examine Leibniz’s views about the relationship between monads and the material world, especially in connection with material bodies and corporeal substances.

Drunk drivers and other culpably incapacitated wrongdoers are often taken to pose a problem for reasons-responsiveness accounts of moral responsibility. These accounts predicate moral responsibility upon an agent having the capacities to perceive and act upon moral reasons, and the culpably incapacitated wrongdoers lack exactly those capacities at the time of their wrongdoing. Many reasons-responsiveness advocates thus expand their account of responsibility to include a tracing condition: The culpably incapacitated wrongdoer is blameworthy despite his incapacitation precisely because he is responsible (...) for becoming incapacitated. As some skeptics have suggested, it is not clear that we need tracing. Here, however, I make a stronger case against tracing: I show that tracing gets things wrong. I consider a new sort of case, the case of the Odysseus agent, whose incapacitation is non-culpable (sometimes merely permissible and sometimes praiseworthy). Tracing would have us hold responsible and therefore blame unlucky Odysseus agents, Odysseus agents who commit a wrongdoing in the throes of their non-culpably induced incapacitation. But we should not hold these unlucky Odysseus agents responsible for their incapacitated wrongdoing. Because tracing gets these cases wrong, we should reject tracing. (shrink)

The counterfactual mental state of negligent criminal activity invites skepticism from those who see mental states as essential to responsibility. Here, I offer a revision of the mental state of criminal negligence, one where the mental state at issue is actual and not merely counterfactual. This revision dissolves the worry raised by the skeptic and helps to explain negligence’s comparatively reduced culpability.

Duress is a defense in both law and morality. The bank teller who provides an armed robber with the bank vault combination, the innocent suspect who fabricates a story after hours of interrogation, the Good Samaritan who breaks into a private cabin in the woods to save a stranded hiker, and the father who drives at high speed to rush his injured child to the hospital—in deciding how to respond to agents like these, we should take into account that they (...) have acted under duress. In this paper, I offer a new duress defense, which I call “distinctive duress.” The distinctive-duress defense is neither ordinary justification nor ordinary excuse. Rather, it is a defense available to agents who act wrongly because they are appropriately insensitive to certain reasons. In the distinctive-duress cases, an agent’s normative sensitivities are rightly directed elsewhere, leading them awry. (shrink)

Given his view that the modern world is ‘radically evil’, Adorno is an unlikely contributor to business ethics. Despite this, we argue that his work has a number of provocative implications for the field that warrant wider attention. Adorno regards our social world as damaged, unfree, and false and we draw on this critique to outline why the achievement of good work is so rare in contemporary society, focusing in particular on the ethical demands of roles and the ideological nature (...) of management’s self-understanding. Nevertheless, we show that Adorno’s comments on activities such as art and philosophy mean that it is possible to draw on his work in a way that contributes constructively to the conversation about good and meaningful work within business ethics. (shrink)

In this paper I argue that Theodor W. Adorno 's philosophy of freedom needs an ontological picture of the world. Adorno does not make his view of natural order explicit, but I suggest it could be neither the chaotic nor the strictly determined ontological images common to idealism and positivism, and that it would have to make intelligible the possibility both of human freedom and of critical social science. I consider two possible candidates, Nancy Cartwright 's ‘patchwork of laws’, and (...) Roy Bhaskar 's critical realism. Arguing that Cartwright 's position conflicts with the spirit of Adorno 's philosophy, I suggest that Bhaskar 's realism is compatible with and to a significant extent implicit in Adorno 's position. Whilst Adorno is clearly not a critical realist, Bhaskar 's position does provide the best overall account of the ontological commitments of Adorno 's critical theory. It becomes possible in turn to locate Bhaskar 's arguments in a broader critical tradition and give fuller expression to the concerns that structure his work, in particular by locating the epistemic fallacy in the narrative account of the natural history of subjective reason and its tendency towards ‘identity thinking ’. The discussion goes on to consider the interdependence of reason, nature and freedom in the idea of emancipatory critique, confirming the deeper affinities between critical realism and critical theory. (shrink)

This paper attempts to show how Adorno’s thought can illuminate our reflections on the future of work. It does so by situating Adorno’s conception of genuine activity in relation to his negativist critical epistemology and his subtle account of the distinction between true and false needs. What emerges is an understanding of work that can guide our aspirations for the future of work, and one we illustrate via discussions of creative work and care work. These are types of work which (...) cater to persistent human needs, albeit ones that are distorted under present social conditions. Adorno’s thought helps us to understand why this is the case. (shrink)

Ordinary cases of object seeing involve the visual perception of space and spatial location. But does seeing an object require such spatial perception? An empirical challenge to the idea that it does comes from reflection upon Bálint's syndrome, for some suppose that in Bálint's syndrome subjects can see objects without seeing space or spatial location. In this article, I question whether the empirical evidence available to us adequately supports this understanding of Bálint's syndrome, and explain how the aforementioned empirical challenge (...) can be resisted. (shrink)

This paper aims to demonstrate the contemporary relevance of Adorno’s thought for business ethicists working in the critical tradition by showing how his critique of modern social life anticipated, and ofers continuing illumination of, recent technological transformations of capitalism. It develops and extrapolates Adorno’s thought regarding three central spheres of modern society, which have seen radical changes in light of recent technological developments: work, in which employee monitoring has become ever more sophisticated and intrusive; leisure consumption, in which the algorithmic (...) developments of the culture industry have paved the way for entertainment products to dominate us; and political discourse, in which social media has exacerbated the anti-democratic tendencies Adorno warned of in the mid-twentieth century. We conclude by presenting, as a rejoinder to these developments, the contours of an Adornian ethics of resistance to the reifcation and dehumanisation of such developments. (shrink)

This book review of Lieber and Press's “The myth of the nuclear revolution: Power politics in the atomic age" challenges the authors' position that nuclear weapons essentially have the same properties of conventional weapons. We argue that nuclear weapons alter warfare because they can end human civilization, and they pose a shared risk of mutual destruction.

In this article I present an original interpretation of Roy Bhaskar’s project in Dialectic: The Pulse of Freedom. His major move is to separate an ontological dialectic from a critical dialectic, which in Hegel are laminated together. The ontological dialectic, which in Hegel is the self-unfolding of spirit, becomes a realist and relational philosophical anthropology. The critical dialectic, which in Hegel is confined to retracing the steps of spirit, now becomes an active force, dialectical critique, which interposes into the ontological (...) dialectic at the ‘fourth dimension’ of a naturalistically reconfigured account of relational human nature, agency. This account allows Bhaskar to explain and vindicate the crucial role social criticism must play in any realistic project of self-emancipation, and to create a space that didn’t exist in Hegel for an open-ended concrete utopianism. Freedom is thus the actualization of human nature, but is not automatic: the relation of human nature to freedom is mediated historically through dialectical critique, which, informed by concrete utopianism, can have emancipatory power. Content Type Journal Article Category Article Pages 13-44 Authors Craig Reeves, Brunel University Journal Journal of Critical Realism Online ISSN 1572-5138 Print ISSN 1476-7430 Journal Volume Volume 12 Journal Issue Volume 12, Number 1 / 2013. (shrink)

In a 2010 article Turri puts forward some powerful considerations which suggest that Williamson's view of knowledge as the most general factive mental state is false. Turri claims that this view is false since it is false that if S sees that p, then S knows that p. Turri argues that there are cases in which (A) S sees that p but (B) S does not know that p. In response I offer linguistic evidence to suppose that in propositional contexts (...) “see” does not have the sort of meaning (a purely perceptual meaning) which would sustain Turri's claims about the cases he offers (specifically, the (A) verdicts). (shrink)

In Eichmann in Jerusalem , Hannah Arendt struggled to defend the possibility of judgment against the obvious problems encountered in attempts to offer legally valid and morally meaningful judgments of those who had committed crimes in morally bankrupt communities. Following Norrie, this article argues that Arendt’s conclusions in Eichmann are equivocal and incoherent. Exploring her perspectival theory of judgment, the article suggests that Arendt remains trapped within certain Kantian assumptions in her philosophy of history, and as such sees the question (...) of freedom in a binary way. The article argues that Adorno’s philosophy of freedom provides the resources to diagnose and overcome Arendt’s shortcomings. Adorno’s position provides a way of embracing the antinomical character of judgment, by emphasising the need for elements of reason and nature in the phenomenon of freedom. In Adorno’s lights, judgment becomes an attempt to express a ‘spirit of solidarity’ with the tragic status of the potentially free but actually unfree subject of modernity. (shrink)

When Adam Smith published his celebrated writings on economics and moral philosophy he famously referred to the operation of an invisible hand. Adam Smith's Political Philosophy makes visible the invisible hand by examining its significance in Smith's political philosophy and relating it to similar concepts used by other philosophers, revealing a distinctive approach to social theory that stresses the significance of the unintended consequences of human action. This book introduces greater conceptual clarity to the discussion of the invisible hand and (...) the related concept of unintended order in the work of Smith and in political theory more generally. By examining the application of spontaneous order ideas in the work of Smith, Hume, Hayek and Popper, Adam Smith's Political Philosophy traces similarities in approach and from these builds a conceptual, composite model of an invisible hand argument. While setting out a clear model of the idea of spontaneous order the book also builds the case for using the idea of spontaneous order as an explanatory social theory, with chapters on its application in the fields of science, moral philosophy, law and government. (shrink)

Jaakko Nevasto has offered a number of thoughtful criticisms of our attempt to show that Adorno’s work can fruitfully be brought to bear on topics in business ethics. After welcoming his constructive clarifications, we attempt to defuse Nevasto’s main objections and defend our application of Adorno, focusing in particular on the topics of moral epistemology, needs, and the possibility of genuine activity – and thus good work – within capitalist society.

Orthodox epistemological disjunctivism involves the idea that paradigm cases of visual perceptual knowledge are based on visual perceptual states which are propositional, and hence representational. Given this, the orthodox version of epistemological disjunctivism takes on controversial representational commitments in the philosophy of perception. Must epistemological disjunctivism involve these commitments? I don’t think so. Here I argue that we can take epistemological disjunctivism in a new direction and develop a version of the view free of these representational commitments. The basic idea (...) is that instead of conceiving of knowledge grounding perceptions as states in which one sees that such-and-such is the case, we should instead conceive of them as states or episodes in which one sees a thing, we should conceive of them as thing-seeings. I’ll suggest that we can cast such seeings in a knowledge grounding role without conceiving of them as representational. But this is because we can put thing-seeings to epistemological work, in the framework of epistemological disjunctivism, whilst remaining neutral on whether or not they are propositional, or representational at all. The point, then, is not to replace epistemological disjunctivism’s controversial representational commitments with controversial non-representational commitments. The point is, rather, that epistemological disjunctivism can be developed with fewer commitments in the philosophy of perception than is usually appreciated. (shrink)

In the bitcoin whitepaper, Satoshi Nakamoto (2008: 2) defines an electronic coin as a chain of digital signatures. Many have since defined a bitcoin as a chain of digital signatures. This latter definition continues to appear in reports from central banks, advocacy centers, and governments, as well as in academic papers across the disciplines of law, economics, computer science, cryptography, management, and philosophy. Some have even used it to argue that what we now call bitcoin is not the real bitcoin. (...) The definition fails, however. This is important because the Chain Definition obscures Satoshi’s solution to a dilemma in the design of electronic cash, as well as the truth about bitcoin’s privacy and fungibility. In this article, I explain why the Chain Definition fails and what Satoshi likely endorsed instead. Along the way, I untangle some issues around bitcoin fungibility and clarify some others around the ontology of digital assets. (shrink)

Quassim Cassam offers a conception of ways of knowing which he argues is preferable to rival accounts such as the account we find in Williamson. The correct way to think about ways of knowing matters for philosophers, such as Cassam and Williamson, who want to understand knowledge itself in terms of ways of knowing. So is Cassam right that his conception of ways of knowing is preferable to Williamson's? The discussion to follow is irenic in spirit: I will argue that (...) in fact Cassam and Williamson don't offer competing accounts of the same phenomenon, but consistent accounts of subtly different phenomena. It is then open that ways of knowing in both senses are relevant to elucidating knowledge itself. (shrink)

Suppose that God or a demon informs you of the following future fact: despite recent cosmological evidence, the universe is indeed closed and it will have a ‘final’ instant of time; moreover, at that final moment, all 49 of the world’s Imperial Faberge eggs will be in your bedroom bureau’s sock drawer. You’re absolutely certain that this information is true. All of your other dealings with supernatural powers have demonstrated that they are a trustworthy lot.

Public health care interventions—regarding vaccination, obesity, and HIV, for example—standardly take the form of information dissemination across a community. But information networks can vary importantly between different ethnic communities, as can levels of trust in information from different sources. We use data from the Greater Pittsburgh Random Household Health Survey to construct models of information networks for White and Black communities--models which reflect the degree of information contact between individuals, with degrees of trust in information from various sources correlated with (...) positions in that social network. With simple assumptions regarding belief change and social reinforcement, we use those modeled networks to build dynamic agent-based models of how information can be expected to flow and how beliefs can be expected to change across each community. With contrasting information from governmental and religious sources, the results show importantly different dynamic patterns of belief polarization within the two communities. (shrink)

In this chapter I seek to examine the credibility of Finnis’s basic stance on Aquinas that while many neo-Thomists are meta-ethically naturalistic in their understanding of natural law theory (for example, Heinrich Rommen, Henry Veatch, Ralph McInerny, Russell Hittinger, Benedict Ashley and Anthony Lisska), Aquinas’s own meta-ethical framework avoids the “pitfall” of naturalism. On examination, the short of it is that I find Finnis’s account (while adroit) wanting in the interpretation stakes vis-à-vis other accounts of Aquinas’s meta-ethical foundationalism. I think (...) that the neo-Thomists are basically right to argue that for Aquinas we cannot really understand objective truths about moral standards unless we derive them from our intellective knowledge of natural facts as given to us by the essential human nature that we have. While I find Finnis’s interpretative position on Aquinas wanting, I go on to argue that his own attachment to non-naturalism is justified and should not be jettisoned. Because I think non-naturalism important to the future tenability of a viable natural law ethics (an ethics that is both cognitive and objectivist), I argue that Finnis should, so to speak, “beef up” his “fundamental option” for non-naturalism and more fully avail himself of certain argumentative strategies available in its defense, argumentative strategies that are inspired by the analytical philosophy of G.E. Moore. (shrink)

I show how the two great Humean ways of understanding laws of nature, projectivism and systems theory, have unwittingly reprised developments in metaethics over the past century. This demonstration helps us explain and understand trends in both literatures. It also allows work on laws to “leap- frog” over the birth of many new positions, the nomic counterparts of new theories in metaethics. However, like leap-frogging from agriculture to the internet age, it’s hardly clear that we’ve landed in a good place. (...) My reactionary advice is to return to Hume and work on the central insights that motivated Humeanism about modality in the first place. When updated with contemporary insights, there we will find an attractive naturalistic theory of laws, or so I’ll argue, and along the way we’ll see how projectivism and systems theory both get something right about this overall theory. (shrink)

Psychopathic individuals display a callous-coldhearted approach to interpersonal and affective situations and engage in impulsive and antisocial behaviors. Despite early conceptualizations suggesting that psychopathy is related to enhanced cognitive functioning, research examining executive functioning (EF) in psychopathy has yielded few such findings. It is possible that some psychopathic trait dimensions are more related to EF than others. Research using a 2-factor or 4-facet model of psychopathy highlights some dimension-specific differences in EF, but this research is limited in scope. Another complicating (...) factor in teasing apart the EF–psychopathy relationship is the tendency to use different psychopathy assessments for incarcerated versus community samples. In this study, an EF battery and multiple measures of psychopathic dimensions were administered to a sample of male prisoners (N. (shrink)

In this paper I consider Corneliu Porumboiu’s ‘Police, Adjective’ (Romania, 2009) as an instance of a puzzling work of art. Part of what is puzzling about it is the range of extreme responses to it, both positive and negative. I make sense of this puzzlement and try to alleviate it, while considering the film alongside Ludwig Wittgenstein’s arguably puzzling “Lectures on Aesthetics” (from 1938). I use each work to illuminate possible understandings of the other. The upshot is that it is (...) is plausible to regard both as engaged, in part, in preparing us to make sense both of themselves, and then also of other works. (shrink)

Throughout its history, Bohm's interpretation of quantum mechanics has been systematically misunderstood and ignored. It was often dismissed for reasons having more to do with politics, religion, positivism, and sloppy thought, than for reasons central to physics. Still, like any physical theory, Bohm's theory faces challenges of varying degrees of severity. Here we review and evaluate some of these challenges.

Psychopathy refers to a range of complex behaviors and personality traits, including callousness and antisocial behavior, typically studied in criminal populations. Recent studies have used self-reports to examine psychopathic traits among noncriminal samples. The goal of the current study was to examine the underlying factor structure of the Self-Report of Psychopathy Scale–Short Form (SRP-SF) across complementary samples and examine the impact of gender on factor structure. We examined the structure of the SRP-SF among 2,554 young adults from three undergraduate samples (...) and a high-risk young adult sample. Using confirmatory factor analysis, a four-correlated factor model and a four-bifactor model showed good fit to the data. Evidence of weak invariance was found for both models across gender. These findings highlight that the SRP-SF is a useful measure of low-level psychopathic traits in noncriminal samples, although the underlying factor structure may not fully translate across men and women. (shrink)

In On What Matters, Derek Parfit enters the debate between actualists and possibilists. This debate concerns mere possibilia, possible but non-actual things such as golden mountains and talking donkeys. Roughly, possibilism says that there are such things, and actualism says that there are not. Parfit not only argues for possibilism but also argues that some self-proclaimed actualists are, in fact, unwitting possibilists. -/- I argue that although Parfit’s arguments do not fully succeed, they do highlight a tension within the frameworks (...) of many actualists. Many actualists conscript abstract objects into the role of "possible worlds" to avoid quantifying over mere possibilia. But, in doing so, actualists must quantify over mere possibilia anyway. When we alleviate this tension, a Parfit-friendly form of actualism arguably remains. This form of actualism says that while everything that exists is actual, it is also true in some sense that there are mere possibilia. (shrink)

In 1866 J.C. Maxwell thought he had discovered a Maxwellian demon—though not under that description, of course [1]. He thought that the temperature of a gas under gravity would vary inversely with the height of the column. From this he saw that it would then be possible to obtain energy for work from a cooling gas, a clear violation of Thompson’s statement of the second law of thermodynamics. This upsetting conclusion made him worry that “there remains as far as I (...) can see a collision between Dynamics and thermodynamics.” Later, he derived the Maxwell-Boltzmann distribution law that made the temperature the same throughout the column. However, he continued to think about the relationship between dynamics and thermodynamics, and in 1867, he sent Tait a note with a puzzle for him to ponder. The puzzle was his famous “neat-fingered being” who could make a hot system hotter and a cold system colder without any work being done. Thompson in 1874 christened this being a “demon”; Maxwell unsuccessfully tried to rename it “valve.” However named, the demon’s point was to “show that the second law of thermodynamics has only a statistical validity.” Since that time a large physics literature has arisen that asks a question similar to that asked in theology, namely, does the devil exist? Beginning with Popper, philosophers examining the literature on Maxwell’s demon are typically surprised—even horrified [2,3,4,5,6,7]. As a philosopher speaking at a physics conference exactly 100 yrs after Popper’s birth, I want to explain why this is so. The organizers of this conference instructed me to offend everyone, believers and non-believers in demons. Thus my talk, apart from an agnostic middle section, contains a section offending those who believe they have exorcized the demon and a section offending those who summon demons. Throughout the central idea will be to clearly distinguish the various second laws and the various demons.. (shrink)

According to D. Bohm’s interpretation of quantum mechanics, a particle always has a well-defined spatial trajectory. A change in boundary conditions can nonlocally change that trajectory. In this note we point out a striking instance of this phenomenon that is easy to understand qualitatively.

Quantum mechanics, like any physical theory, comes equipped with many metaphysical assumptions and implications. The line between metaphysics and physics is often blurry, but as a rough guide, one can think of a theory’s metaphysics as those foundational assumptions made in its interpretation that are not usually directly tested in experiment. In classical mechanics some examples of possible metaphysical assumptions are the claims that forces are real, that inertial mass is primitive, and that space is substantival. The distinctive feature of (...) these claims is that they are all rather far removed from ordinary tests of the theory. Newton defended all three of the above claims at one time or other, whereas Mach attacked each one; however, both scientists agreed on enough of the formalism and its connection to experiment to predict (e.g.) the same periods for given pendulums. What they disagreed about were the ingredients necessary to use classical mechanics to explain and understand the world. (shrink)

The initiation of bipedal gait is a willed action that causes a body at rest to move. Newton's first principle of motion is applied to experimental footprint data. leading to the premise that the big toe is the source of the body action force that initiates and controls bipedal gait.

Various strands of religious thought distinguish veneration from worship. According to these traditions, believers ought to worship God alone. To worship anything else, they say, is idolatry. And yet many of these same believers also claim to venerate—but not worship—saints, angels, images, relics, tombs, and even each other. But what's the difference? Tim Bayne and Yujin Nagasawa (2006: 302) are correct that “it seems to be extremely difficult to distinguish veneration from worship.” Many have argued throughout history that veneration collapses (...) into worship and that those who venerate saints or icons are guilty of idolatry. In this essay, we distinguish worship from veneration in two stages. First, we give a formal account of their difference. Drawing from St. John of Damascus (c. 675-749 AD), we argue that worship is a determinate of the determinable veneration. Second, we give more substantive accounts of both that explain their differences and similarities. Drawing again from St John, we argue that acts of veneration and worship signify subordination. Their difference, however, lies in the fact that worship alone requires absolute subordination. (shrink)

Entry on Work in M. N. S. Sellars & S. Kirste (Eds.), The Springer Encyclopedia of the Philosophy of Law and Social Philosophy. Springer.

Book Review of Charles Travis's Objectivity and the Parochial.

In June 2002, Arthur Andersen LLP became the first accounting firm in history to be criminally convicted. The repercussions were immense. From a position as one of the leading professional services firms in the world, with 85,000 staff in 84 countries and revenues in excess of $9 billion, Andersen effectively ceased to exist within a matter of months. Although Andersen’s conviction related specifically to a charge of obstructing justice, public attention focused on the audit relationship between Andersen and its major (...) client, Enron Corporation, particularly the actions (and inactions) that had allowed Enron to post spectacular year-on-year earnings and profit growth. As well as examining events leading up to the demise of Andersen, the case provides an opportunity to consider the broader controversy over accounting and corporate governance practices and, more generally, the pressures found within organisations that can foster unethical conduct. The case was prepared from public sources. (shrink)

In this paper we explain Wittgenstein’s claim in a 1933 lecture that “aesthetics like psychoanalysis doesn’t explain anything away.” The discussions of aesthetics are distinctive: Wittgenstein gives a positive account of the relationship between aesthetics and psychoanalysis, as contrasted with psychology. And we follow not only his distinction between cause and reason, but also between hypothesis and representation, along with his use of the notion of ideals as facilitators of aesthetic discourse. We conclude that aesthetics, like psychoanalysis, preserves the verifying (...) phenomena in their fullness. (shrink)

This paper critically engages Philip Mirowki's essay, "The scientific dimensions of social knowledge and their distant echoes in 20th-century American philosophy of science." It argues that although the cold war context of anti-democratic elitism best suited for making decisions about engaging in nuclear war may seem to be politically and ideologically motivated, in fact we need to carefully consider the arguments underlying the new rational choice based political philosophies of the post-WWII era typified by Arrow's impossibility theorem. A distrust (...) of democratic decision-making principles may be developed by social scientists whose leanings may be toward the left or right side of the spectrum of political practices. (shrink)

Abstract: In this paper, the definition of triple Aboodh transform of fractional order α, where α ϵ [0, 1], is introduced for functions which are fractional differentiable. We also present several properties of this transform. Furthermore, some main theorems and their proofs are discussed.

This paper has three main goals. First, to motivate a puzzle about how ignorance-expressing terms like maybe and if interact: they iterate, and when they do they exhibit scopelessness. Second, to argue that there is an ambiguity in our theoretical toolbox, and that exposing that opens the door to a solution to the puzzle. And third, to explore the reach of that solution. Along the way, the paper highlights a number of pleasing properties of two elegant semantic theories, explores some (...) meta-theoretic properties of dynamic notions of meaning, dips its toe into some hazardous waters, and offers characterization theorems for the space of meanings an indicative conditional can have. (shrink)

Abstract— In this paper, we introduce the definition of triple Aboodh transform, some properties for the transform are presented. Furthermore, several theorems dealing with the properties of the triple Aboodh transform are proved. In addition, we use this transform to solve partial differential equations with integer and non-integer orders.

This paper sets mathematics among the sciences, despite not being empirical, because it studies relations of various sorts, like the sciences. Each empirical science studies the relations among objects, which relations determining which science. The mathematical science studies relations as such, regardless of what those relations may be or be among, how relations themselves are related. This places it at the extreme among the sciences with no objects of its own (A Subject with no Object, by J.P. Burgess and G. (...) Rosen). Examples are discussed. The historical development of written mathematics from algorithms on clay tablets to theorems with proofs is said to show that application of algorithms to specific problems and theorems to scientific objects is like allegorical interpretation. Mathematics fits into the modern scientific context because the sciences, beginning with Galileo, have been constructed in imitation of mathematics. Viewing mathematics this way does not solve any ontological problems, but it does show how mathematics avoids them. Epistemological problems, insuperable for object realism, are simplified. For example, we have access to relations among any objects that we can consider objectively, first physical objects and then mathematical objects of greater and greater abstraction. (shrink)

We propose a natural definition of what it means in a constructive context for a Banach space to be reflexive, and then prove a constructive counterpart of the Milman-Pettis theorem that uniformly convex Banach spaces are reflexive.

Shows how, as a consequence of the Arrow Impossibility Theorem, objectivity in grading is chimerical, given a sufficiently knowledgeable teacher (of his students, not his subject) in a sufficiently small class. -/- PDF available from JStor only; permission to post full version previously granted by journal editors and publisher expired. -/- Unpublished reply posted gratis.

We extend the framework of Inductive Logic to Second Order languages and introduce Wilmers' Principle, a rational principle for probability functions on Second Order languages. We derive a representation theorem for functions satisfying this principle and investigate its relationship to the first order principles of Regularity and Super Regularity.

Majority cycling and related social choice paradoxes are often thought to threaten the meaningfulness of democracy. But deliberation can prevent majority cycles – not by inducing unanimity, which is unrealistic, but by bringing preferences closer to single-peakedness. We present the first empirical test of this hypothesis, using data from Deliberative Polls. Comparing preferences before and after deliberation, we find increases in proximity to single-peakedness. The increases are greater for lower versus higher salience issues and for individuals who seem to have (...) deliberated more versus less effectively. They are not merely a byproduct of increased substantive agreement. Our results both refine and support the idea that deliberation, by increasing proximity to single-peakedness, provides an escape from the problem of majority cycling. (shrink)

Whether it was John Searle’s Chinese Room argument (Searle, 1980) or Roger Penrose’s argument of the non-computable nature of a mathematician’s insight – an argument that was based on Gödel’s Incompleteness theorem (Penrose, 1989), we have always had skeptics that questioned the possibility of realizing strong Artificial Intelligence (AI), or what has become known by Artificial General Intelligence (AGI). But this new book by Landgrebe and Smith (henceforth, L&S) is perhaps the strongest argument ever made against strong AI. It (...) is a very extensive review of what building a mind essentially amounts to drawing on insights and results from biology, physics, linguistics, computability, philosophy, and mathematics. (shrink)

In this paper I argue for an association between impurity and explanatory power in contemporary mathematics. This proposal is defended against the ancient and influential idea that purity and explanation go hand-in-hand (Aristotle, Bolzano) and recent suggestions that purity/impurity ascriptions and explanatory power are more or less distinct (Section 1). This is done by analyzing a central and deep result of additive number theory, Szemerédi’s theorem, and various of its proofs (Section 2). In particular, I focus upon the radically (...) impure (ergodic) proof due to Furstenberg (Section 3). Furstenberg’s ergodic proof is striking because it utilizes intuitively foreign and infinitary resources to prove a finitary combinatorial result and does so in a perspicuous fashion. I claim that Furstenberg’s proof is explanatory in light of its clear expression of a crucial structural result, which provides the “reason why” Szemerédi’s theorem is true. This is, however, rather surprising: how can such intuitively different conceptual resources “get a grip on” the theorem to be proved? I account for this phenomenon by articulating a new construal of the content of a mathematical statement, which I call structural content (Section 4). I argue that the availability of structural content saves intuitive epistemic distinctions made in mathematical practice and simultaneously explicates the intervention of surprising and explanatorily rich conceptual resources. Structural content also disarms general arguments for thinking that impurity and explanatory power might come apart. Finally, I sketch a proposal that, once structural content is in hand, impure resources lead to explanatory proofs via suitably understood varieties of simplification and unification (Section 5). (shrink)