According to the logical pluralism of Beall and Restall, there are several distinct relations of logical consequence. Some critics argue that logical pluralism suffers from what I call the collapse problem: that despite its intention to articulate a radically pluralistic doctrine about logic, the view unintentionally collapses into logical monism. In this paper, I propose a contextualist resolution of the collapse problem. This clarifies the mechanism responsible for a plurality of logics and handles the motivating data better than the original (...) view. It is a major improvement that should be embraced by all logical pluralists. (shrink)

This paper scrutinizes the debate over logical pluralism. I hope to make this debate more tractable by addressing the question of motivating data: what would count as strong evidence in favor of logical pluralism? Any research program should be able to answer this question, but when faced with this task, many logical pluralists fall back on brute intuitions. This sets logical pluralism on a weak foundation and makes it seem as if nothing pressing is at stake in the debate. The (...) present paper aims to improve this situation by looking at a promising case study and drawing general lessons about the kind of evidence that would support logical pluralism. I argue that the best motivation for logical pluralism will ultimately be rooted in certain kinds of performative data. (shrink)

This note motivates a logic for a theory that can express its own notion of logical consequence—a ‘syntactically closed’ theory of naive validity. The main issue for such a logic is Curry’s paradox, which is averted by the failure of contraction. The logic features two related, but different, implication connectives. A Hilbert system is proposed that is complete and non-trivial.

Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument. Orthodoxy has it that valid arguments are necessarily truth-preserving, but this platitude only raises a number of further questions, such as: how does the truth of premises guarantee the truth of a conclusion, and what constraints does validity impose on rational belief? This volume presents thirteen essays by some of the most important scholars in the field of philosophical logic. The essays offer ground-breaking new insights (...) into the nature of logical consequence; the relation between logic and inference; how the semantics and pragmatics of natural language bear on logic; the relativity of logic; and the structural properties of the consequence relation. (shrink)

Recent work in philosophical logic has taken interesting and unexpected turns. It has seen not only a proliferation of logical systems, but new applications of a wide range of different formal theories to philosophical questions. As a result, philosophers have been forced to revisit the nature and foundation of core logical concepts, chief amongst which is the concept of logical consequence. This essay sets the contributions of the volume in context and identifies how they advance important debates within the philosophy (...) of logic. (shrink)

According to Jago (2014a), logical omniscience is really part of a deeper paradox. Jago develops an epistemic logic with principles of indeterminate closure to solve this paradox, but his official semantics is difficult to navigate, it is motivated in part by substantive metaphysics, and the logic is not axiomatized. In this paper, I simplify this epistemic logic by adapting the hyperintensional semantic framework of Sedlár (2021). My first goal is metaphysical neutrality. The solution to the epistemic paradox should not require (...) appeal to a metaphysics of truth-makers, situations, or impossible worlds, by contrast with Jago’s official semantics. My second goal is to elaborate on the proof theory. I show how to axiomatize a family of logics with principles of indeterminate epistemic closure. (shrink)

This paper contributes to the study of paracompleteness and paraconsistency. We present two logics that address the following questions in novel ways. How can the paracomplete theorist characterize the formulas that defy excluded middle while maintaining that not all formulas are of this kind? How can the paraconsistent theorist characterize the formulas that obey explosion while still maintaining that there are some formulas not of this kind?

Jenkins (2007) charges that the language advanced in Beall (2007) is either expressively impoverished, or inconsistent. We argue that Jenkins’ objections are based on unreasonably strong constraints on formal theories of truth. Our primary concern is not to defend the ‘paranormal’ framework advanced in Beall, but to respond to a common – and implausible – ‘revenge’-style charge directed at a certain class of formal theories of truth and paradox.

This paper is about the underlying logical principles of scientific theories. In particular, it concerns ex contradictione quodlibet (ECQ) the principle that anything follows from a contradiction. ECQ is valid according to classical logic, but invalid according to paraconsistent logics. Some advocates of paraconsistency claim that there are ‘real’ inconsistent theories that do not erupt with completely indiscriminate, absurd commitments. They take this as evidence in favor of paraconsistency. Michael (2016) calls this the non-triviality strategy (NTS). He argues that this (...) strategy fails in its purpose. I will show that Michael's criticism significantly over-reaches. The fundamental problem is that he places more of a burden on the advocate of paraconsistency than on the advocate of classical logic. The weaknesses in Michael's argument are symptomatic of this preferential treatment of one viewpoint in the debate over another. He does, however, make important observations that allow us to clarify some of the complexities involved in giving a logical reconstruction of a theory. I will argue that there are abductive arguments deserving of further consideration for the claim that paraconsistent logic offers the best explanation of the practice of inconsistent science. In this sense, the debate is still very much open. (shrink)

In a recent series of articles, Beall has developed the view that FDE is the formal system most deserving of the honorific “Logic”. The Simple Argument for this view is a cost-benefit analysis: the view that FDE is Logic has no drawbacks and it has some benefits when compared with any of its rivals. In this paper, I argue that both premises of the Simple Argument are mistaken. I use this as an opportunity to further reflect on how such arguments (...) can be bolstered to provide more substantial and productive support for revisionary theses about Logic. (shrink)

The advocate of modal logic or relevant logic has traditionally argued that her preferred system offers the best regimentation of the theory of entailment. Essential to the projects of modal and relevant logic is the importation of non-truth-functional expressive resources into the object language on which the logic is defined. The most elegant technique for giving the semantics of such languages is that of frame semantics, a variation on which features the device of partitioned frames that divide 'points of evaluation' (...) into two types: normal points and abnormal points. This essay attempts to provide satisfying philosophical interpretations of the partitioned frame semantics for some weak modal logics and relevant logics. According to the current best interpretation, partitioned frame semantics are a kind of possible worlds semantics that appeal to 'logically impossible worlds' where the laws of logic may fail to hold. This is undermined by the fact that all of the target logics fail to satisfy criteria of expressibility needed to support the thesis that laws of logic fail to hold at abnormal points. This suggests that we should not look for a monistic interpretive paradigm for partitioned frame semantics. (shrink)

The semantic tradition in logic descends from Tarski's seminal work on truth and logical consequence. In the introduction to this volume, Sagi and Woods remind us that this tradition prominently uses model theory to study languages and their interpretations. Tarski's model-theoretic definition of logical consequence is the prime example of this approach, seeking as it does to reduce logical properties to a class of operations on classical, iterative (ZF) sets. Sagi and Woods explain with admirable clarity the origins, implications, and (...) philosophical questions surrounding this project. The contributions to the volume go on to address whether this approach successfully elucidates logicality and how it intersects with the foundations of mathematics and natural language semantics. (shrink)

A review of Jc Beall's "Spandrels of Truth".

Schopenhauer repeatedly claims that suicide is both foolish and futile. But while many commentators have expressed sympathy for his charge of foolishness, most regard his charge of futility as indefensible even within his own system. In this paper, I offer a defense of Schopenhauer’s futility charge, based on metaphysical and psychological considerations. On the metaphysical front, Schopenhauer’s view implies that psychological connections extend beyond death. Drawing on Parfit’s discussion of personal identity, I argue that those connections have personal significance, such (...) that suicide does not allow one, as Hamlet hopes, simply “not to be.” On the psychological front, I argue that a distinction between agents’ intentions and underlying desires makes room for Schopenhauer to claim that paradigmatic suicidal agents ultimately desire the opposite of what suicide accomplishes. I conclude by showing how the resulting account of futility can buttress the charge of foolishness as well. My interpretation still leaves Schopenhauer vulnerable to certain objections, but shows that his account is significantly more defensible than previous commentators have realized. (shrink)

One of our most original thinkers addresses the scientific world's premier question: What is the nature of consciousness?

Kant makes a striking reference to Spinoza in the 1788 Critique of Practical Reason. This chapter begins by investigating whether Kant directly concerned himself with Spinoza, focusing on Omri Boehm's recent affirmative argument. Kant thinks the objective principle yields radical metaphysical conclusions only in conjunction with further claims about specific conditioning relations. Kant's privileging of Spinozism among realist views seems generally detached from Spinoza's actual thought. The chapter deals with points of convergence or near‐convergence between Kant and Spinoza. It identifies (...) two philosophically interesting points on which Spinoza's and Kant's views come surprisingly close: their arguments for the limitations of our sensory knowledge and their arguments for the timelessness of the mind. Spinoza's official argument for the timelessness of the mind appeals to his doctrines of the body's eternal essence, the parallel between bodies and ideas, and the identity of the human mind with God's idea of the human body. (shrink)

Colin McGinn presents his latest work on consciousness in ten interlinked papers, four of them previously unpublished. He extends and deepens his controversial solution to the mind-body problem, defending the view that consciousness is both ontologically unproblematic and epistemologically impenetrable. He also investigates the basis of our knowledge that there is a mind-body problem, and the bearing of this on attempted solutions. McGinn goes on to discuss the status of first-person authority, the possibility of atomism with respect to consciousness, (...) extreme dualism, and the role of non-existent objects in constituting intentionality. He argues that traditional claims about our knowledge of our own mind and of the external world can be inverted; that atomism about the conscious mind might turn out to be true; that dualism is more credible the more extreme it is; and that all intentionality involves non-existent objects. These are all surprising positions, but he contends that what the philosophy of mind needs now is 'methodological radicalism' - a willingness to consider new and seemingly extravagant ideas. (shrink)

Presents a self-contained introduction to logic suitable for majors and nonmajors, and can be covered entirely in a one-semester course. Natural deduction systems of sentential logic and of first-order logic, truth tables, and the basic ideas of model theory are presented without superfluous discussion.

The demise of behaviorism has made ethologists more willing to ascribe mental states to animals. However, a methodology that can avoid the charge of excessive anthropomorphism is needed. We describe a series of experiments that could help determine whether the behavior of nonhuman animals towards dead conspecifics is concept mediated. These experiments form the basis of a general point. The behavior of some animals is clearly guided by complex mental processes. The techniques developed by comparative psychologists and behavioral ecologists are (...) able to provide us with the tools to critically evaluate hypotheses concerning the continuity between human minds and animal minds. (shrink)

Ubuntu as a living spirit of liberation -- Ubuntu for warriors : introduction -- Ubuntu for King Shaka and warriors -- Ubuntu for Nelson Mandela and war -- Ubuntu for Archbishop Tutu and Just War -- Ubuntu for Winnie Madikizela-Mandela and honour -- Ubuntu for Kenneth Kaunda, pacifism and war -- Ubuntu for Steve Biko and the envisioned warrior.

The concept of opposites is a crucial one at the early elementary level. Learning opposites opens up a reader’s vocabulary and ability to communicate. This colorful volume is a helpful aid for teaching and reviewing opposites, displaying opposite pairs visually next to the accompanying accessible text. Readers are encouraged to identify opposites in their own world, reinforcing these essential ideas in their daily lives.

Several authors have recently argued that the content of pains (and bodily sensations more generally) is imperative rather than descriptive. I show that such an account can help resolve competing intuitions about phantom limb pain. As imperatives, phantom pains are neither true nor false. However, phantom limb pains presuppose falsehoods, in the same way that any imperative which demands something impossible presupposes a falsehood. Phantom pains, like many chronic pains, are thus commands that cannot be satisfied. I conclude by showing (...) that some of the negative psychological consequences of chronic pain are a direct consequence of their imperative nature. (shrink)

Maher (1988, 1990) has recently argued that the way a hypothesis is generated can affect its confirmation by the available evidence, and that Bayesian confirmation theory can explain this. In particular, he argues that evidence known at the time a theory was proposed does not confirm the theory as much as it would had that evidence been discovered after the theory was proposed. We examine Maher's arguments for this "predictivist" position and conclude that they do not, in fact, support his (...) view. We also cast doubt on the assumptions of Maher's alleged Bayesian proofs. (shrink)

Nicolas Malebranche (1638-1715) holds that the senses, imagination, and passions aim at survival and the satisfaction of the body’s needs, rather than truth or the good of the mind. Each of these faculties makes a distinctive and, indeed, an indispensable contribution to the preservation of life. Commentators have largely focused on how the senses keep us alive. By comparison, the imagination and passions have been neglected. In this paper, I reconstruct Malebranche’s account of how the imagination contributes to the preservation (...) of the body by compensating for the limitations of the senses. First, the imagination represents non-actual states of affairs, such as probable or possible future states. Second, the imagination forges new and often helpful associations based on past experiences. Third, the imagination (mis)represents that objects will cause pleasure and pain, thereby imbuing them with emotional significance they would otherwise lack. Together, these features flesh out Malebranche’s view that the imagination is necessary for the preservation of life. (shrink)

Religion and the Rebel, Colin Wilson's second volume from his internationally acclaimed Outsider Cycle, is a casebook about and for rebels. With inspirational wisdom and engaging clarity, Wilson shows us that the purpose of religion, of our personal relationship with the sacred and the all-pervading mystery of existence, is to expand our consciousness and intensify our sense of life. Wilson heroically claims that the power to create meaning resides in our mental and spiritual discipline. Examining the lives and works (...) of Nietzsche, Kierkegaard, Rilke, Shaw, Pascal, Swedenborg, Rimbaud and Scott Fitzgerald, among others, Wilson explores the main existential questions and shows how these remarkable writers, scientists, philosophers and poets faced their need for transcendence. Like many of us, they were driven by a need to become more than men. Religion and the Rebel is an outstanding and enjoyable book that combines philosophical analysis, historical interest, and religious insight. (shrink)

Since the 1980s, there has been a steady growth of interest in the psychological mechanisms that regulate normal emotional experience. In this same period, cognitive-experimental researchers have sought to delineate the information processing biases that characterize emotional disorders. Exciting potential synergies exist between these two areas of investigation. In this article, we consider ways in which reciprocal benefits could be gained by the constructive transfer of theoretical ideas and methodological approaches between emotion regulation researchers and cognitive-experimental investigators. We also discuss (...) how recent innovations within each field can profitably impact upon progress within the other. It is concluded that the overlap in conceptual constructs, and the convergence of complementary investigative techniques, between these two research domains, provide opportunities for creative synthesis that could significantly enrich understanding of normal and abnormal emotion across future years. (shrink)

Recent advances in genetic research pose many complex problems for moral and political philosophers. On the one hand, these advances promise great things. Genetic enhancement techniques might allow us to prevent or cure a variety of debilitating diseases. But on the other hand, talk about intervening in people's genetic make-up conjures up memories of the sinister episodes of past eugenic movements. Such movements violated the most basic principles of justice. How can society capitalize on the benefits of genetic intervention and (...) yet avoid the injustices of past eugenic movements? What basic moral principles should guide public policy and individual choice concerning the use of genetic interventions? These important questions are tackled by Allen Buchanan, Dan Brock, Norman Daniels, and Daniel Wikler inFrom Chance to Choice: Genetics and Justice. This book brings together the thoughts of leading scholars in the field and is likely to set the agenda for serious debate on this topic. (shrink)

How to imagine the imagination is a topic that draws philosophers the way flowers draw honeybees. From Plato and Aristotle to Wittgenstein and Sartre, philosophers have talked and written about this most elusive of topics--that is, until contemporary analytic philosophy of mind developed. Perhaps it is the vast range of the topic that has scared off our contemporaries, ranging as it does from mental images to daydreams. The guiding thread of this book is the distinction Colin McGinn draws between (...) perception and imagination. Clearly, seeing an object is similar in certain respects to forming a mental image of it, but it is also different. McGinn shows what the differences are, arguing that imagination is a sui generis mental faculty. He goes on to discuss the nature of dreaming and madness, contending that these are primarily imaginative phenomena. In the second half of the book McGinn focuses on what he calls cognitive (as opposed to sensory) imagination, and investigates the role of imagination in logical reasoning, belief formation, the understanding of negation and possibility, and the comprehension of meaning. His overall claim is that imagination pervades our mental life, obeys its own distinctive principles, and merits much more attention. (shrink)

I offer a major reassessment of Foucault’s philosophico-historical account of the basic problems of modernity. I revise our understanding of Foucault by countering the influential misinterpretations proffered by his European interlocutors such as Habermas and Derrida. Central to Foucault’s account of modernity was his work on two crucial concept pairs: freedom/power and reason/madness. I argue against the view of Habermas and Derrida that Foucault understood modern power and reason as straightforwardly opposed to modern freedom and madness. I show that Foucault (...) held a much more complex view of these pairs, a view encapsulated in his term ‘reciprocal incompatibility’. By revising our interpretation of Foucault’s work on modernity in this way, we open the way to much more effective deployments of his critical apparatus. (shrink)

Wittgenstein held that Russell’s multiple relation theory of judgment fails to explain an atomic judgment’s representation of entities as combined. He demonstrated this failure as follows. Under the multiple relation theory, an atomic judgment is a complex whose relating relation is judgment, the universal, and whose terms include the entities the judgment represents as combined. Taking such a complex we may arrive through the substitution of constituents at a complex whose relating relation is again judgment but whose terms do not (...) include entities which are logically suited for combination. This second judgment complex will not represent any of its terms as combined, for entities that are logically uncombinable are unrepresentable as combined. Russell’s theory does not, however, explain how the original judgment differs from the complex arrived at by the substitution of constituents such that the former but not the latter represents certain of its terms as combined. (shrink)

In this chapter, I taxonomize early modern modes of relating self-interest and the common good. I discuss Protestant natural law theory, republicanism, utilitarianism, and—my main focus—Scottish social thought from Adam Smith and others. My aim is twofold. First, historically, I lay out the conceptual field for the early modern relation of self-interest and the common good while giving special attention to Scottish innovations. Second, from a philosophical point of view, I argue that the Scottish theory of the common good offers (...) some of the best conceptual resources for considering the relation of individual and community in present-day large, industrial nation-states and empires. More specifically, I claim that the Scots develop a concept of the common good that is (1) more social and economic than its alternatives, (2) more systemic and less dependent on the psychology and intentions of individuals, and (3) less tied to thick notions of community (including the state) and more amenable to empire. I conclude by bringing out the significance of these claims for our thinking about self-interest, the common good, and community. (shrink)

Richard Rorty's pragmatism is a distinctively doubled philosophy formed at the twain of a rigorous antifoun‐dational philosophical perspective and a committed postmetaphysical cultural criticism. Rorty instead rigorously held to the line that no particular politics follows from anti‐foundational philosophy. Rorty's arguments against representationalism, foundationalism, and metaphysics‐first philosophy in Mirror are complex and not always easy to navigate without careful guidance. The risk of the approach in Mirror is that it could implicate Rorty in a foundationalist critique of foundationalism, or a (...) metaphysical critique of metaphysics. For ironism is the studied denial not of metaphysics itself, but only of strong forms of pro‐metaphysical argument. Rorty uses liberalism to avoid the metaphysical forbidding of metaphysics – substituting for it instead a liberal, perhaps even a critical, limiting of metaphysics. The most important insight of Contingency boils down to this: liberalism and ironism together give us something to strive for that the metaphysician would otherwise take as settled. (shrink)

Colin Starnes radical interpretation of the long-recognized affinity of Thomas More’s Utopia and Plato’s Republic confirms the intrinsic links between the two works. Through commentary on More’s own introduction to Book I, the author shows the Republic is everywhere present as the model of the “best commonwealth,” which More must first discredit as the root cause of the dreadful evils in the collapsing political situation of sixteenth-century Europe. Starnes demonstrates how More, once having shorn the Republic of what was (...) applicable to a society that had for a thousand years accepted and been moved by the Christian revelation, then “Christianized” it to arrive at one of the earliest and most coherent accounts of the ideal modern state: the description of Utopia in Book II. Knowing this radically new view of a long-recognized position may be questioned, the author has included a criticism and appreciation of the other major lines of interpretation concerning More’s Utopia. (shrink)

Frege maintains that there are not two distinct acts, assertion and denial; rather, denying p is one and the same as asserting not-p. Wittgenstein appears not to recognise this identity in Frege, attributing to him the contrary view that a proposition may have one of two verbs, "is true" or "is false". This paper explains Wittgenstein’s attribution as a consequence of Frege’s treatment of content as theoretically prior to the act of judgment. Where content is prior to judgment, the denial (...) of p—what is rejected in asserting p—is distinct from the assertion of not-p. Wittgenstein’s own embrace of Frege’s identity is then considered, an embrace explained in part by his repudiation of Frege’s theoretical order. (shrink)

Practical quantum computing devices and their applications to AI in particular are presently mostly speculative. Nevertheless, questions about whether this future technology, if achieved, presents any special ethical issues are beginning to take shape. As with any novel technology, one can be reasonably confident that the challenges presented by "quantum AI" will be a mixture of something new and something old. Other commentators (Sevilla & Moreno 2019), have emphasized continuity, arguing that quantum computing does not substantially affect approaches to value (...) alignment methods for AI, although they allow that further questions arise concerning governance and verification of quantum AI applications. In this brief paper, we turn our attention to the problem of identifying as-yet-unknown discontinuities that might result from quantum AI applications. Wise development, introduction, and use of any new technology depends on successfully anticipating new modes of failure for that technology. This requires rigorous efforts to break systems in protected sandboxes, and it must be conducted at all stages of technology design, development, and deployment. Such testing must also be informed by technical expertise but cannot be left solely to experts in the technology because of the history of failures to predict how non-experts will use or adapt to new technologies. This interplay between experts and non-experts may be particularly acute for quantum AI because quantum mechanics is notoriously difficult to understand. (As Richard Feynman quipped, "Anyone who claims to understand quantum mechanics is either lying or crazy.") We will discuss the extent to which the difficulties in understanding the physics underlying quantum computing challenges attempts to anticipate new failure modes that might be introduced in AI applications intended for unsupervised operation in the public sphere. (shrink)

How to develop the personal and professional skills and behaviours you need to be the best early career teacher you can be.

Emmy Noether’s many articles around the time that Felix Klein and David Hilbert were arranging her invitation to Göttingen include a short but brilliant note on invariants of finite groups highlighting her creativity and perspicacity in algebra. Contrary to the idea that Noether abandoned Paul Gordan’s style of mathematics for Hilbert’s, this note shows her combining them in a way she continued throughout her mature abstract algebra.