Ioannis G. Ntagkas

Berto’s highly readable and lucid guide introduces students and the interested reader to Gödel’s celebrated _Incompleteness Theorem_, and discusses some of the most famous - and infamous - claims arising from Gödel's arguments. Offers a clear understanding of this difficult subject by presenting each of the key steps of the _Theorem_ in separate chapters Discusses interpretations of the _Theorem_ made by celebrated contemporary thinkers Sheds light on the wider extra-mathematical and philosophical implications of Gödel’s theories Written in an accessible, non-technical style.

A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic to deal with them, until recent times these systems have been little understood by philosophers. This book presents a comprehensive overview on paraconsistent logical systems to change this situation. The book includes almost every major author currently working in the field. The papers are on the cutting edge of the literature some of which discuss current debates and others present important new ideas. The editors have avoided papers about technical details of paraconsistent logic, but instead concentrated upon works that discuss more 'big picture' ideas. Different treatments of paradoxes takes centre stage in many of the papers, but also there are several papers on how to interpret paraconistent logic and some on how it can be applied to philosophy of mathematics, the philosophy of language, and metaphysics.

'Ontology and Metaontology: A Contemporary Guide' is a clear and accessible survey of ontology, focussing on the most recent trends in the discipline. Divided into parts, the first half characterizes metaontology: the discourse on the methodology of ontological inquiry, covering the main concepts, tools, and methods of the discipline, exploring the notions of being and existence, ontological commitment, paraphrase strategies, fictionalist strategies, and other metaontological questions. The second half considers a series of case studies, introducing and familiarizing the reader with concrete examples of the latest research in the field. The basic sub-fields of ontology are covered here via an accessible and captivating exposition: events, properties, universals, abstract objects, possible worlds, material beings, mereology, fictional objects. The guide's modular structure allows for a flexible approach to the subject, making it suitable for both undergraduates and postgraduates looking to better understand and apply the exciting developments and debates taking place in ontology today.

We address an argument by Floridi (Synthese 168(1):151–178, 2009; 2011a), to the effect that digital and analogue are not features of reality, only of modes of presentation of reality. One can therefore have an informational ontology, like Floridi’s Informational Structural Realism, without commitment to a supposedly digital or analogue world. After introducing the topic in Sect. 1, in Sect. 2 we explain what the proposition expressed by the title of our paper means. In Sect. 3, we describe Floridi’s argument. In the following three sections, we raise three difficulties for it, (i) an objection from intuitions: Floridi’s view is not supported by the intuitions embedded in the scientific views he exploits (Sect. 4); (ii) an objection from mereology: the view is incompatible with the world’s having parts (Sect. 5); (iii) an objection from counting: the view entails that the question of how many things there are doesn’t make sense (Sect. 6). In Sect. 7, we outline two possible ways out for Floridi’s position. Such ways out involve tampering with the logical properties of identity, and this may be bothersome enough. Thus, Floridi’s modus ponens will be our (and most ontologists’) modus tollens.

In the essays which make up The Sovereignty of Good, Iris Murdoch gives us a picture of moral life in which ‘the metaphor of vision [is] almost irresistibly suggested’. This chapter aims to clarify the role played by the metaphor of vision in Murdoch’s philosophical thinking. I’ll examine two different things which might be meant by the term ‘moral vision’: vision of moral things or vision which is itself moral. The suggestion will be that whilst both capture something important about Murdoch’s work, each may mislead about what is distinctive in her views. For Murdoch, I shall suggest, there is no distinctively moral vision. There is only vision: a loving gaze directed upon the reality of others.

We can see a theft, hear a lie, and feel a stabbing. These are morally important perceptions. But are they also moral perceptions--distinctively moral responses? In this book, Robert Audi develops an original account of moral perceptions, shows how they figure in human experience, and argues that they provide moral knowledge. He offers a theory of perception as an informative representational relation to objects and events. He describes the experiential elements in perception, illustrates moral perception in relation to everyday observations, and explains how moral perception justifies moral judgments and contributes to objectivity in ethics. Moral perception does not occur in isolation. Intuition and emotion may facilitate it, influence it, and be elicited by it. Audi explores the nature and variety of intuitions and their relation to both moral perception and emotion, providing the broadest and most refined statement to date of his widely discussed intuitionist view in ethics. He also distinguishes several kinds of moral disagreement and assesses the challenge it poses for ethical objectivism. Philosophically argued but interdisciplinary in scope and interest, Moral Perception advances our understanding of central problems in ethics, moral psychology, epistemology, and the theory of the emotions.

"Race" is so highly charged and loaded a concept it often hampers critical thinking about racial practice and policy. A philosophical approach allows us to isolate and analyse the key questions: What is race? Can we do without race? What is racism and why is it wrong? What should our policies on race and racism be? The Philosophy of Race presents a concise and up-to-date overview of the central philosophical debates about race. It then builds on this philosophical foundation to analyse the sociopolitical questions of racism and race-relevant policy. Throughout, the discussion is illustrated with a wide range of examples: Afro-American 'blackness'; British-Asian racial formation; Aboriginal identity in Australia; the racial grouping of Romany-Gypsies and Jews in Europe; categories of race in Brazil; and the concept of model minorities in the US and UK.

Charles Sanders Peirce (1839-1914) is generally regarded as the founder of pragmatism, and one of the greatest ever American philosophers. Peirce is also widely known for his work on truth, his foundational work in mathematical logic, and an influential theory of signs, or semiotics. Albert Atkin introduces the full spectrum of Peirce’s thought for those coming to his work for the first time. The book begins with an overview of Peirce’s life and work, considering his early and long-standing interest in logic and science, and highlighting important views on the structure of philosophical thought. Atkin then explains Peirce’s accounts of pragmatism and truth examining important later developments to these theories. He then introduces Peirce’s full accounts of semiotics, examines his foundational work on formal and graphical logic, and introduces Peirce’s account of metaphysics, the least understood aspect of his philosophy. The final chapter considers Peirce’s legacy and influence on the thought of philosophers such as John Dewey and Richard Rorty, as well as highlighting areas where Peirce’s ideas could still provide important insights for contemporary philosophers. Including chapter summaries, suggestions for further reading and a glossary, this invaluable introduction and guide to Peirce’s philosophy is essential reading for those new to his work.

In the work of both Matti Eklund and John Hawthorne there is an influential semantic argument for a maximally expansive ontology that is thought to undermine even modest forms of quantifier variance. The crucial premise of the argument holds that it is impossible for an ontologically "smaller" language to give a Tarskian semantics for an ontologically "bigger" language. After explaining the Eklund-Hawthorne argument (in section I), we show this crucial premise to be mistaken (in section II) by developing a Tarskian semantics for a mereological universalist language within a mereological nihilist language (a case which we, and Eklund and Hawthorne, take as representative). After developing this semantics we step back (in section III) to discuss the philosophical motivations behind the Eklund- Hawthorne argument’s demand for a semantics. We ultimately conclude that quantifier variantists can meet any demand for a semantics that might reasonably be imposed upon them.

The central question in this book is why it seems reasonable for the words of our language to divide up the world in ordinary ways rather than other imaginable ways. Hirsch calls this the division problem. His book aims to bring this problem into sharp focus, to distinguish it from various related problems, and to consider the best prospects for solving it. In exploring various possible responses to the division problem, Hirsch examines series of "division principles" which purport to express rational constraints on how our words ought to classify and individuate. The ensuing discussion deals with a wide range of metaphysical and epistemological topics, including projectibility and similarity, alternative analyses of natural properties and things, the inscrutability of reference, and the relevance of such pragmatic notions as salience and economy. The final chapters of the book develop what Hirsch contends is the most promising response to the division problem: a theory in which constraints on classification and individuation are seen to derive from the necessary structure of "fine-grained" propositions and the necessary dependence of some concepts on others.

_In _Why Knowledge Matters_, E. D. Hirsch, Jr., presents evidence from cognitive science, sociology, and education history to further the argument for a knowledge-based elementary curriculum._ Influential scholar Hirsch, author of _The Knowledge Deficit_, asserts that a carefully planned curriculum that imparts communal knowledge is essential in achieving one of the most fundamental aims and objectives of education: preparing students for lifelong success. Hirsch examines historical and contemporary evidence from the United States and other nations, including France, and affirms that a knowledge-based approach has improved both achievement and equity in schools where it has been instituted. In contrast, educational change of the past several decades in the United States has endorsed a skills-based approach, founded on, Hirsch points out, many incorrect assumptions about child development and how children learn. He recommends new policies that are better aligned with our current understanding of neuroscience, developmental psychology, and social science. The book focuses on six persistent problems that merit the attention of contemporary education reform: the over-testing of students in the name of educational accountability; the scapegoating of teachers; the fadeout of preschool gains; the narrowing of the curriculum to crowd out history, geography, science, literature, and the arts; the achievement gap between demographic groups; and the reliance on standards, such as the Common Core State Standards, that are not linked to a rigorous curriculum. _Why Knowledge Matters_ makes a clear case for educational innovation and introduces a new generation of American educators to Hirsch’s astute and passionate analysis.

I criticize 5 arguments for the conclusion that religious belief is unreliably formed and hence epistemically tainted. The arguments draw on scientific evidence from Cognitive Science of Religion. They differ considerably as to why the evidence points to unreliability. Two arguments conclude to unreliability because religious belief is shaped by evolutionary pressures; another argument states that the mechanism responsible for religious belief produces many false god-beliefs; a similar argument claims that the mechanism produces incompatible god-beliefs; and a final argument states that the mechanism is offtrack. I argue that the arguments fail to make the case for unreliability or that the unreliability can be overcome.

Progress in philosophy is difficult to achieve because our methods are evidentially and rhetorically weak. In the last two decades, experimental philosophers have begun to employ the methods of the social sciences to address philosophical questions. However, the adequacy of these methods has been called into question by repeated failures of replication. Experimental philosophers need to incorporate more robust methods to achieve a multi-modal perspective. In this chapter, we describe and showcase cutting-edge methods for data-mining and visualization. Big data is a useful investigatory tool for moral psychology, and it fits well with the Ramsification method the first author advances in a series of recent papers. The guiding insight of these papers is that we can infer the meaning and structure of concepts from patterns of assertions and inferential associations in natural language.

According to some prominent accounts of scientific progress, e.g. Bird’s epistemic account, accepting new theories is progressive only if the theories are justified in the sense required for knowledge. This paper argues that epistemic justification requirements of this sort should be rejected because they misclassify many paradigmatic instances of scientific progress as non-progressive. In particular, scientific progress would be implausibly rare in cases where (a) scientists are aware that most or all previous theories in some domain have turned out to be false, (b) the new theory was a result of subsuming and/or logically strengthening previous theories, or (c) scientists are aware of significant peer disagreement about which theory is correct.

Most people believe that consciousness is real. But illusionists say it isn’t—they say consciousness is an illusion. One common illusionist strategy for defending their view involves a debunking argument. They explain why people _believe_ that consciousness exists in a way that doesn’t imply that it _does_ exist; and, in so doing, they aim to show that that belief is unjustified. In this paper I argue that we can know consciousness exists even if these debunking arguments are sound. To do this, I draw on the claim that some knowledge is constituted, not by beliefs in propositions, but by awareness of properties and objects. Then I argue that accepting this claim allows us to evade illusionists’ debunking arguments by allowing us to hold that our knowledge of consciousness does not depend solely on potentially debunked _beliefs_ in consciousness. Finally, while considering potential illusionist responses, I suggest that my strategy also yields a plausible account of our most basic knowledge of consciousness and an explanation for why so few people accept illusionism even when they have (or had) no decisive reply to illusionists’ arguments.

To naturalize religion, we must identify what religion is, and what aspects of it we are trying to explain. In this paper, religious social institutional behavior is the explanatory target, and an explanatory hypothesis based on shared primate social dominance psychology is given. The argument is that various religious features, including the high status afforded the religious, and the high status afforded to deities, are an expression of this social dominance psychology in a context for which it did not evolve: high-density populations made possible by agriculture

Perhaps almost all non-theists will agree that ‘the problem of evil’ has some role in their reasons for rejecting traditional Western theism. When they consult their intuitions, non-theists typically do not find it credible to suppose that this is the kind of world which could have been created by an all-powerful, all-knowing, all-good being. Moreover, when they review their reasons for non-belief, non-theists typically find that a catalogue of the amounts and kinds of evils which are to be found in the world adds some weight to the case against the existence of such a being.

This paper articulates a way to ground a relatively high prior probability for grand explanatory theories apart from an appeal to simplicity. I explore the possibility of enumerating the space of plausible grand theories of the universe by using the explanatory properties of possible views to limit the number of plausible theories. I motivate this alternative grounding by showing that Swinburne’s appeal to simplicity is problematic along several dimensions. I then argue that there are three plausible grand views—theism, atheism, and axiarchism—which satisfy explanatory requirements for plausibility. Other possible views lack the explanatory virtue of these three theories. Consequently, this explanatory grounding provides a way of securing a nontrivial prior probability for theism, atheism, and axiarchism. An important upshot of my approach is that a modest amount of empirical evidence can bear significantly on the posterior probability of grand theories of the universe.

Abstract.Differences in methods of knowing correlate with differences in concepts about what is known. This is an underlying issue in science and religion. It is seen, first, in Arthur Peacocke's reasoning about God as transcendent and personal, is based on an assumption of correlative thinking that like causes like. This contrasts with a notion of causation in empirical science, which explains the emergence of new phenomena as originating from temporally prior phenomena quite unlike that which emerges. The scientific understanding of causation is compatible with a naturalistic theism that holds a nonpersonal model of God as the creative process. However, focusing on the immanence of God, there is a second correlation between methods of knowing and concepts of God. Classical empiricism, used by science, correlates with God understood nonpersonally as the creative process. Radical empiricism, in which feelings and not only sense perceptions have cognitive import, opens up the possibility that one can experience Peacocke's personal, panentheistic God as pattern‐forming influence. I illustrate this second method‐concept correlation with a personal experience.