Higher-order logic augments first-order logic with devices that let us generalize into grammatical positions other than that of a singular term. Some recent metaphysicians have advocated for using these devices to raise and answer questions that bear on many traditional issues in philosophy. In contrast to these 'higher-order metaphysicians', traditional metaphysics has often focused on parallel, but importantly different, questions concerning special sorts of abstract objects: propositions, properties and relations. The answers to the higher-order and the property-theoretic questions may coincide (...) sometimes but will often come apart. I argue that when they do, the higher-order questions are closer to the metaphysical action and so it would be better for these debates to proceed in higher-order terms. (shrink)

"Equality of opportunity for all" is a fine piece of political rhetoric but the ideal that lies behind it is slippery to say the least. This book defends a particular account of the ideal and its place in a more radical version of what it is to level the playing field.

An array of new cases of lies is presented in support of the idea that lying does not require an intention to be deceptive. The crucial feature of these cases is that the agents who lie have some sort of motivation to lie alternative to an intention to be deceptive. Such alternative motivation comes in multiple varieties, such that we should think that the possibility of lying without an intention to be deceptive is common.

This paper defends a key aspect of the Peircean conception of truth—the idea that truth is in some sense epistemically-constrained. It does so by exploring parallels between Peirce’s epistemology of inquiry and that of Wittgenstein in On Certainty. The central argument defends a Peircean claim about truth by appeal to a view shared by Peirce and Wittgenstein about the structure of reasons. This view relies on the idea that certain claims have a special epistemic status, or function as what are (...) popularly called ‘hinge propositions’. (shrink)

Towards the unconditioned: Kant, Epicurus and Glückseligkeit -- Arendt and the time of the pardon -- Kant, evil, and the unconditioned -- Judgment after Derrida.

This paper is a review of Gerald Gaus's The Order of Public Reason. Its initial purpose is to explain how the overall argument of the book is meant to hang together. It also identifies four points at which the argument might be challenged, particularly as it relates to justificatory liberalism’s ‘classical tilt’.

Ralph Johnson argues that mathematical proofs lack a dialectical tier, and thereby do not qualify as arguments. This paper argues that, despite this disavowal, Johnson’s account provides a compelling model of mathematical proof. The illative core of mathematical arguments is held to strict standards of rigour. However, compliance with these standards is itself a matter of argument, and susceptible to challenge. Hence much actual mathematical practice takes place in the dialectical tier.

Part of a group commentary on Kant's Religion book. This chapter focuses on Part 2, section 2 on "The Evil Principle's Rightful Claim to Dominion over the Human Being, and the Struggle of the Two Principles with One Another" -/- .

Many proponents of deliberative democracy expect reasonable citizens to engage in rational argumentation. However, this expectation runs up against findings by behavioral economists and social psychologists revealing the extent to which normal cognitive functions are influenced by bounded rationality. Individuals regularly utilize an array of biases in the process of making decisions, which inhibits our argumentative capacities by adversely affecting our ability and willingness to be self-critical and to give due consideration to others’ interests. Although these biases cannot be overcome, (...) I draw on scientifically corroborated insights offered by Adam Smith to show that they can be kept in check if certain affective and cognitive capacities are cultivated. Smith provides a compelling account of how to foster sympathetic, impartial, and projective role-taking in the process of interacting with others, which can greatly enhance our capacity and willingness to critically assess our own interests and fairly consider those of others. (shrink)

This paper addresses the gap between familiar popular narratives describing Artificial Intelligence (AI), such as the trope of the killer robot, and the realistic near-future implications of machine intelligence and automation for technology policy and society. The authors conducted a series of interviews with technologists, science fiction writers, and other experts, as well as a workshop, to identify a set of key themes relevant to the near future of AI. In parallel, they led the analysis of almost 100 recent works (...) of science fiction stories with AI themes to develop a preliminary taxonomy of AI in science fiction. These activities informed the commissioning of six original works of science fiction and non-fiction response essays on the themes of “intelligence” and “justice” that were published as part of the Slate Future Tense Fiction series in 2019 and 2020. Our findings indicate that artificial intelligence remains deeply ambiguous both in the policy and cultural contexts: we struggle to define the boundaries and the agency of machine intelligence, and consequently find it difficult to govern or interact with such systems. However, our findings also suggest more productive avenues of inquiry and framing that could foster both better policy and better narratives around AI. (shrink)

Instead of using low-level neurophysiology mimicking and exploratory programming methods commonly used in the machine consciousness field, the hierarchical Operational Architectonics (OA) framework of brain and mind functioning proposes an alternative conceptual-theoretical framework as a new direction in the area of model-driven machine (robot) consciousness engineering. The unified brain-mind theoretical OA model explicitly captures (though in an informal way) the basic essence of brain functional architecture, which indeed constitutes a theory of consciousness. The OA describes the neurophysiological basis of the (...) phenomenal level of brain organization. In this context the problem of producing man-made “machine” consciousness and “artificial” thought is a matter of duplicating all levels of the operational architectonics hierarchy (with its inherent rules and mechanisms) found in the brain electromagnetic field. We hope that the conceptual-theoretical framework described in this paper will stimulate the interest of mathematicians and/or computer scientists to abstract and formalize principles of hierarchy of brain operations which are the building blocks for phenomenal consciousness and thought. (shrink)

Journal Name: Apeiron Issue: Ahead of print.

This paper briefly review a current trend in neuroscience aiming to combine neurophysiological and physical concepts in order to understand the emergence of spatio-temporal patterns within brain activity by which brain constructs knowledge from multiple streams of information. The authors further suggest that the meanings, which subjectively are experienced as thoughts or perceptions can best be described objectively as created and carried by large fields of neural activity within the operational architectonics of brain functioning.

This paper argues that new light may be shed on mathematical reasoning in its non-pathological forms by careful observation of its pathologies. The first section explores the application to mathematics of recent work on fallacy theory, specifically the concept of an ‘argumentation scheme’: a characteristic pattern under which many similar inferential steps may be subsumed. Fallacies may then be understood as argumentation schemes used inappropriately. The next section demonstrates how some specific mathematical fallacies may be characterized in terms of argumentation (...) schemes. The third section considers the phenomenon of correct answers which result from incorrect methods. This turns out to pose some deep questions concerning the nature of mathematical knowledge. In particular, it is argued that a satisfactory epistemology for mathematical practice must address the role of luck. (shrink)

Introduction: where do our rights come from? -- Jefferson's masterpiece: the Declaration of Independence -- Get off my land : the right to own property -- Names will never hurt me : the freedom of speech -- I left my rights in San Franscisco : the freedom of association -- You can leave any time you want: the freedom to travel -- You can leave me alone : the right to privacy -- That flesh is mine : you own your (...) body -- Sticks and stones will break my bones : the right to self-defense -- You'll hear from me : the right to petition the government for redress of grievances -- War . . .war . . .what is it good for? : the right to enjoy peace -- When the devil turns round on you : the right to fairness from the government -- A dime isn't worth a penny anymore : the right to sound money -- Theft by any other name : the right to spend your own money -- A ride on Dr. Feinberg's bus : the right to be governed by laws with moral limits -- Disobeying stupidity : the right to ignore the state -- Conclusion. (shrink)

In their account of theory change in logic, Aberdein and Read distinguish 'glorious' from 'inglorious' revolutions--only the former preserves all 'the key components of a theory' [1]. A widespread view, expressed in these terms, is that empirical science characteristically exhibits inglorious revolutions but that revolutions in mathematics are at most glorious [2]. Here are three possible responses: 0. Accept that empirical science and mathematics are methodologically discontinuous; 1. Argue that mathematics can exhibit inglorious revolutions; 2. Deny that inglorious revolutions are (...) characteristic of science. Where Aberdein and Read take option 1, option 2 is preferred by Mizrahi [3]. This paper seeks to resolve this disagreement through consideration of some putative mathematical revolutions. [1] Andrew Aberdein and Stephen Read, The philosophy of alternative logics, The Development of Modern Logic (Leila Haaparanta, ed.), Oxford University Press, Oxford, 2009, pp. 613-723. [2] Donald Gillies (ed.), Revolutions in Mathematics, Oxford University Press, Oxford, 1992. [3] Moti Mizrahi, Kuhn's incommensurability thesis: What's the argument?, Social Epistemology 29 (2015), no. 4, 361-378. (shrink)

First Published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

The leading contemporary French philosopher Alain Badiou has been a lifelong devotee of Beckett's work. This ground-breaking study provides a full introduction to and critique of Badiou's philosophy, politics, ethics and aesthetics, and his interpretation of the Irish writer, as a basis for a major new reading of the Beckett corpus.

It has been a decade since the phrase virtue argumentation was introduced, and while it would be an exaggeration to say that it burst onto the scene, it would be just as much of an understatement to say that it has gone unnoticed. Trying to strike the virtuous mean between the extremes of hyperbole and litotes, then, we can fairly characterize it as a way of thinking about arguments and argumentation that has steadily attracted more and more attention from argumentation (...) theorists. We hope it is neither too late for an introduction to the field nor too soon for some retrospective assessment of where things stand. (shrink)

In this paper I argue that certain so-called conceivability arguments fail to show that a currently popular version of physicalism in the philosophy of mind is false. Concentrating on an argument due to David Chalmers, I first argue that Chalmers misrepresents the relation between conceivability and possibility. I then argue that the intuition behind the conceivability of so-called zombie worlds can be accounted for without having to suppose that such worlds are genuinely conceivable. I conclude with some general remarks about (...) the nature of conceivability. (shrink)

The contributors to _Somaesthetics and Sport_ explore our embodied experiences of watching and playing sport, including sport’s beauty; the place of exercise in our sense of living a good life; and how we cope with pain and suffering.

The Politics of Human Rights provides an engaging and systematic introductory overview of the nature and development of human rights.

The idea that religious belief is ‘almost inevitable’ is so forcefully argued by Justin Barrett that it can warrant justifiable concern – especially since he claims atheism is an unnatural handicap. In this article, I argue that religious belief in Homo sapiens isn’t inevitable – and that Barrett does agree when pushed. I describe the role played by a Hyperactive Agency Detection Device in the generation of belief in God as necessary but insufficient in explaining religious culture – I distance (...) myself from some common conceptions of HADD and the view I take of it is unorthodox. I point out that the conclusion to Barrett’s book, ‘Why Would Anyone Believe in God?’ is a fine example of the very hyperactive agency detection Barrett himself describes, and is therefore highly suspect. (shrink)

This book explores the results of applying empirical methods to the philosophy of logic and mathematics. Much of the work that has earned experimental philosophy a prominent place in twenty-first century philosophy is concerned with ethics or epistemology. But, as this book shows, empirical methods are just as much at home in logic and the philosophy of mathematics. -/- Chapters demonstrate and discuss the applicability of a wide range of empirical methods including experiments, surveys, interviews, and data-mining. Distinct themes emerge (...) that reflect recent developments in the field, such as issues concerning the logic of conditionals and the role played by visual elements in some mathematical proofs. -/- Featuring leading figures from experimental philosophy and the fields of philosophy of logic and mathematics, this collection reveals that empirical work in these disciplines has been quietly thriving for some time and stresses the importance of collaboration between philosophers and researchers in mathematics education and mathematical cognition. (shrink)

Current views of consciousness can be divided by whether the theorist accepts or rejects cognitivism about consciousness. Cognitivism as we understand it is the view that consciousness is just a form of representation or an information-processing property of a system that has representations or perhaps both.<b> </b>Anti-cognitivists deny this, appealing to thought experiments about inverted spectra, zombies and the like to argue that consciousness could change while nothing cognitive or representational changes. Nearly everyone agrees, however, that consciousness has a _representational (...) base._ Whether consciousness _simply is_ representational or cognitive, it at least _requires _representation (and cognition). In an ecumenical spirit, we will focus on this point of agreement and sketch a theory of what this representational base might be. We hope that the result will be a framework useful for investigating consciousness empirically. (shrink)

-God creates the best of all possible worlds.- With this bold dictum, Gottfried Wilhelm Leibniz summed up his theological views. Yet, why did God create <I>this world, our world? <I>The Divine Ethic of Creation in Leibniz uses this question as a touchstone for developing a comprehensive reconstruction of Leibniz's philosophical system. Whereas twentieth-century scholarship tended to focus on the logical foundations of Leibniz's thought, this book demonstrates how Leibniz's work on logic, mathematics, physics, metaphysics, and political theory was actually shaped (...) by ethical and theological considerations.". (shrink)

This book, the first to explore religious education and post-modernity in depth, sets out to provide a much needed examination of the problems and possibilities post-modernity raises for religious education.

Why did Bernhard Riemann, arguably the most original mathematician of his generation, spend the last year of life investigating the mechanism of hearing? Fighting tuberculosis and the hostility of eminent scientists such as Hermann Helmholtz, he appeared to forsake mathematics to prosecute a case close to his heart. Only sketchy pages from his last paper remain, but here we assemble some significant clues and triangulate from them to build a broad picture of what he might have been driving at. Our (...) interpretation is that Riemann was a committed idealist and from this philosophical standpoint saw that the scientific enterprise was lame without the “poetry of hypothesis”. He believed that human thought was fundamentally the dynamics of “mind-masses” and that the human mind interpenetrated, and became part of, the microscopic physical domain of the cochlea. Therefore, a full description of hearing must necessarily include the perceptual dimensions of what he saw as a single manifold. The manifold contains all the psychophysical aspects of hearing, including the logarithmic transformations that arise from Fechner’s law, faithfully preserving all the subtle perceptual qualities of sound. For Riemann, hearing was a unitary physical and mental event, and parallels with modern ideas about consciousness and quantum biology are made. A unifying quantum mechanical model for an atom of consciousness—drawing on Riemann’s mind-masses and the similar “psychons” proposed by Eccles—is put forward. (shrink)

Yarkoni recommends that psychology researchers should take care to align their statistical models to the verbal theories they are studying and testing. This principle applies not just to qualitative theories in psychology but also to more quantitative sciences: there, too, mismatch between open-ended theories and specific statistical models have led to confusion.