Beginning with Zagzebski (The Philosophical Quarterly 44:65–73, 1994), some philosophers have argued that there can be no solution to the Gettier counterexamples within the framework of a fallibilist theory of knowledge. If true, this would be devastating, since it is believed on good grounds that infallibilism leads to scepticism. But I argue here that these purported proofs are mistaken and that the truthmaker solution to the Gettier problems is both cogent and fallibilist in nature. To show this I develop the (...) notion of evidence of a state of affairs, a crucial concept in the truthmaker theory. I also argue that a common principle of the transmission of evidence through entailment is false, and the cause of much of the trouble. (shrink)

That there is an edge at all is, of course, philosophically controversial; it would be denied by anti-realists of a verificationist stripe. However, we accept, since G¨odel, that there are true propositions of elementary arithmetic that are unprovable in arithmetic; just so, we should accept—by analogy—that there are true statements that are unknowable. An argument called the Fitch Argument tells us that it is so. Williamson has long argued that the Fitch Argument cannot by itself refute antirealism—because the anti-realist is (...) already committed to the denial of some of the principles of classical logic required to derive the anti-realist conclusion. The point is well made.1 In Knowledge and its Limits, however, Williamson looks at what the Fitch argument tells us if we adhere to classical logic: and that is that there are unknowable truths. (shrink)

It’s a truism of philosophy that Realists must not postulate more than we could reasonably hope to know, while Anti-Realists must not leave us with so little that all knowledge is impossible. But balance is not easily come by—and even less in philosophy than in life. So philosophy continues to struggle over the hard cases, with neither the Realist nor the Anti-Realist able to score an easy victory.

Since 1969, when Bas van Fraassen wrote 'Facts and Tautological Entailments', it has been assumed that if facts, or states of affairs, exist at all, they can only play the role of truthmakers for propositions if the truthmaker relation is defined in a relevantist revision of classical logic. Greg Restall revived this notion in 1996, and it has since been discussed positively by Stephen Read. I argue in this paper that this was always a mistake. The truthmaking relation between facts (...) and propositions can indeed be made sense of-but no relevantist revision of classical logic is required. The correspondence theory of truth can thus be shown to have been essentially correct all along. (shrink)

A proof is presented that a form of incompleteness in Quantum Mechanics follows directly from the use of unbounded operators. It is then shown that the problems that arise for such operators are not connected to the non- commutativity of many pairs of operators in Quantum Mechanics and hence are an additional source of incompleteness to that which allegedly flows from the..

It is argued that the part-whole account of the relation between evidence and the larger state of affairs the evidence is evidence of—an account that was elucidated in the paper ‘Truthmaking, Evidence of, and Impossibility Proofs’ —provides a better basis for epistemology than causal relations between events. I apply this to a well-known phenomenon in physics which suggests that causal connectedness is not necessary for knowledge.

There has been considerable discussion in the literature of one kind of identity problem that mathematical structuralism faces: the automorphism problem, in which the structure is unable to individuate the mathematical entities in its domain. Shapiro (Philos Math 16(3):285–309, 2008) has partly responded to these concerns. But I argue here that the theory faces an even more serious kind of identity problem, which the theory can’t overcome staying within its remit. I give two examples to make the point.

The significance of Max Black’s indistinguishable spheres for the nature of particles in quantum mechanics is discussed, focusing in particular on the use of the idea of weak indiscernibility. It is argued that there can be four such Black spheres but that five are impossible. It follows from this that Black’s example cannot serve as a model for indistinguishability in physics. But Black’s discussion of his spheres gave rise to the idea of weak discernibility and it is argued that such (...) predicates are unsatisfiable in the way intended. The underlying problem with weak discernibility spreads out to also undermine the whole notion that indistinguishability rests on a notion of the permutation invariance of particles. A better foundation is indicated. (shrink)

The indistinguishability of bosons and fermions has been an essential part of our ideas of quantum mechanics since the 1920s. But what is the mathematical basis for this indistinguishability? An answer was provided in the group representation theory that developed alongside quantum theory and quickly became a major part of its mathematical structure. In the 1930s such a complex and seemingly abstract theory came to be rejected by physicists as the standard functional analysis picture presented by John von Neumann took (...) hold. The purpose of the present account is to show how indistinguishability is explained within representation theory. (shrink)

There is a large literature on the issue of the lack of properties (i.e. accidents) in quantum mechanics (the problem of “hidden variables”) and also on the indistinguishability of particles. Both issues were discussed as far back as the late 1920’s. However, the implications of these challenges to classical ontology were taken up rather late, in part in the ‘quantum set theory’ of Takeuti (Curr Issues Quant Logic 303–322, 1981), Finkelstein (in Beltrametti EG, Van Fraassen BC (eds) Current issues in (...) quantum logic. Plenum, New York, 1981) and the work of Décio Krause (1992)—and subsequent publications). But the problems created by quantum mechanics go far beyond set theory or the identity of indiscernibles (another subject that has been often discussed)—it extends, I argue, to our accounts of truth. To solve this problem, i.e. to have an approach to truth that facilitates a transition from a classical to a quantum ontology one must have a unified framework for them both. This is done within the context of a pluralist view of truthmaking, where the truthmakers are unified in having a monoidal structure. The structure of the paper is as follows. After a brief introduction, the idea of a monoid is outlined (in Sect. 1) followed by a standard set of axioms that govern the truthmaker relation from elements of the monoid to the set of propositions. This is followed, in Sect. 2, by a discussion of how to have truthmakers for two kinds of necessities: tautologies and analytic truths. The next Sect. 3, then applies these ideas to quantum mechanics. It gives an account of quantum states and shows how these form a monoid. The final section then argues that quantum logic does not, despite what one might initially suspect, stand in the way of an account of quantum truth. (shrink)

Zeeman argued that the Euclidean (i. e. manifold) topology of Minkowski space-time should be replaced by a strictly finer topology that was to have a closer connection with the indefinite metric. This proposal was extended in 1976 by Rudiger Göbel and Hawking, King and McCarthy to the space-times of General Relativity. It is the purpose of this paper to argue that these suggestions for replacement misrepresent the significance of the manifold topology and overstate the necessity for a finer topology. The (...) motivation behind such arguments is a realist view of space-time topology as against (what can be construed to be) the instrumentalist position underlying some of the suggestions for replacement. (shrink)

The geometric mean is also called the mean proportional. This is how the mathematicians of the √ −1. 19th Century, such as Gauss, understood..

The Received View of particles in quantum mechanics is that they are indistinguishable entities within their kinds and that, as a consequence, they are not individuals in the metaphysical sense and self-identity does not meaningfully apply to them. Nevertheless cardinality does apply, in that one can have n> 1 such particles. A number of authors have recently argued that this cluster of claims is internally contradictory: roughly, that having more than one such particle requires that the concepts of distinctness and (...) identity must apply after all. A common thread here is that the notion of identity is too fundamental to forego in any metaphysical account. I argue that this argument fails. I then argue that the failure of individuality and identity applies also to macroscopic physical objects, that the problems cannot be constrained to apply only within the microscopic realm. (shrink)

In his essay ‘Laws and States in Quantum Mechanics’, John Forge presents a case for considering laws of nature to be privileged sets of states, trajectories in the quantum mechanical analogue of phase space. Having presented an argument to show that states have to be taken with full ontological seriousness, Forge then uses those states to undergird his favourite account of laws and explanation — called the Instance View. On this view laws are a special sort of pattern, a certain (...) kind of regularity, and explanations are instances of these regularities (so that you explain some phenomenon A by indicating that it is an instance of some regularity R). Forge then uses this account of laws and explanation to urge the acceptance of van Fraassen’s Modal Interpretation of Quantum Mechanics. (shrink)

In this paper I put forward a suggestion for identifying causality in micro-systems with the specific quantum field theoretic interactions that occur in such systems. I first argue — along the lines of general transference theories — that such a physicalistic account is essential to an understanding of causation; I then proceed to sketch the concept of interaction as it occurs in quantum field theory and I do so from both a formal and an informal point of view. Finally, I (...) present reasons for thinking that only a quantum field theoretic account can do the job — in particular I rely on a theorem by D. Currie and to the effect that interaction cannot be described in (a Hamiltonian formulation of) Classical Mechanics. Throughout the paper I attempt to suggest that the widespread scepticism about the ability of quantum theory to support a theory of causality is mistaken and rests on several misunderstandings. (shrink)

Adrian Heathcote has proposed a truth-making account of knowledge that combines traditional conditions of justified true belief with the truth-making condition, which would jointly provide us with the sufficient condition of knowledge, and this truth-maker account of knowledge in turn explains why a gettiered justified true belief fails to be regarded as a genuine instance of knowledge. In this paper, by the comparison of two different casual models that are illustrated by the thermometer and the clock respectively, however, (...) it will be argued that Heathcote’s truth-making account of knowledge fails to cope with the Gettier case of the stopped clock and therefore is called for some further remedy. (shrink)

A growing body of empirical evidence suggests that folk knowledge attribution practices regarding some epistemological thought experiments differ significantly from the consensus found in the philosophical literature. More specifically, laypersons are likely to ascribe knowledge in the so-called Authentic Evidence Gettier-style cases, while most philosophers deny knowledge in these cases. The intuitions shared by philosophers are often used as evidence in favor (or against) certain philosophical analyses of the notion of knowledge. However, the fact that these intuitions are not universal, (...) as non-philosophers do not sympathize with verdicts made by philosophers, is problematic and requires some explanation. Recently, a promising theoretical approach emerged that could be used to explain away unexpected folk knowledge attributions. According to the protagonist projection hypothesis, when subjects answer questions about some hypothetical scenario, their judgments might result from adopting the cognitive perspective of the protagonist in the given scenario. Previous experimental findings suggest protagonist projection might be responsible for problematic knowledge attributions in Gettier-style cases. This paper reports data collected in an experiment which focused on five different Authentic Evidence Gettier-style scenarios and investigated the impact of protagonist projection on folk knowledge ascriptions in such cases. The results bring some support to the protagonist projection hypothesis, but do not allow to explain away a substantial number of problematic folk knowledge attributions. (shrink)

Francis Ysidro Edgeworth’s unduly neglected monograph New and Old Methods of Ethics (1877) advances a highly sophisticated and mathematized account of social well-being in the utilitarian tradition of his 19th-century contemporaries. This article illustrates how his usage of the ‘calculus of variations’ was combined with findings from empirical psychology and economic theory to construct a consequentialist axiological framework. A conclusion is drawn that Edgeworth is a methodological predecessor to several important methods, ideas, and issues that continue to be discussed in (...) contemporary social well-being studies. (shrink)

Since the early seventeenth century of Bacon, Gallileo and Descartes, the relations between science and religion as well as mind and body have remained volatile fault lines of conflict. The controversies surrounding these relations are as alive and pressing now as at any point over the course of the past four centuries. Adrian Johnston's transcendental materialism offers a new theoretical approach to these issues. Arming himself with resources provided by German idealism, Marxism, psychoanalysis, the life sciences and contemporary philosophical (...) developments, Johnston formulates an account of subjectivity that, although being both materialist and naturalist, does full justice to human beings as irreducible to natural matter alone. At the same time he argues against relapses into idealisms, dualisms and spiritualisms. Adventures in Transcendental Materialism elaborates Johnston's position through critical engagements with some of today's most important thinkers including Slavoj Žižek, Alain Badiou, Catherine Malabou, Jean-Claude Milner, Martin Hägglund, William Connolly, and Jane Bennett"--Back cover. (shrink)

Thought experiments play a role in science and in some central parts of contemporary philosophy. They used to play a larger role in philosophy of science, but have been largely abandoned as part of the field’s “practice turn”. This chapter discusses possible roles for thought experimentation within a practice-oriented philosophy of science. Some of these roles are uncontroversial, such as exemplification and aiding discovery. A more controversial role is the reliance on thought experiments to justify philosophical claims. It is proposed (...) that if we adopt an underlying empiricist view of concepts, then thought experiments can be seen as affording us contact with scientific practice, despite their seemingly a priori character. The advantages and drawbacks of thought experiments are discussed via comparison with case studies, on the one, and simulations on the other hand. The chapter closes with some remarks on how to combine thought experiments with other methods. (shrink)

Thought experiments play a role in science and in some central parts of contemporary philosophy. They used to play a larger role in philosophy of science, but have been largely abandoned as part of the field’s “practice turn”. This chapter discusses possible roles for thought experimentation within a practice-oriented philosophy of science. Some of these roles are uncontroversial, such as exemplification and aiding discovery. A more controversial role is the reliance on thought experiments to justify philosophical claims. It is proposed (...) that if we adopt an underlying empiricist view of concepts, then thought experiments can be seen as affording us contact with scientific practice, despite their seemingly a priori character. The advantages and drawbacks of thought experiments are discussed via comparison with case studies, on the one, and simulations on the other hand. The chapter closes with some remarks on how to combine thought experiments with other methods. (shrink)

John Scottus Eriugena (d. ca. 877) is regarded as the most important philosopher and theologian in the Latin West from the death of Boethius until the thirteenth century. He incorporated his understanding of Latin sources, Ambrose, Augustine, Boethius and Greek sources, including the Cappadocian Fathers, Pseudo-Dionysius, and Maximus Confessor, into a metaphysics structured on Aristotle's Categories, from which he developed Christian Neoplatonist theology that continues to stimulate 21st-century theologians. This collection of essays provides an overview of the latest scholarship on (...) various aspects of Eriugena's thought and writings, including his Irish background, his use of Greek theologians, his Scripture hermeneutics, his understanding of Aristotelian logic, Christology, and the impact he had on contemporary and later theological traditions. Contributors: David Albertson, Joel Barstad, John Contreni, Christophe Erismann, John Gavin, Adrian Guiu, Michael Harrington, Catherine Kavanagh, A. Kijewska, Stephen Lahey, Elena Lloyd-Sidle, Bernard McGinn, Ernesto Sergio Mainoldi, Dermot Moran, Giulio D'Onofrio, Willemien Otten, and Alfred Siewers. (shrink)

There remains no consensus among social scientists as to how to measure and understand forms of information deprivation such as misinformation. Machine learning and statistical analyses of information deprivation typically contain problematic operationalizations which are too often biased towards epistemic elites' conceptions that can undermine their empirical adequacy. A mature science of information deprivation should include considerable citizen involvement that is sensitive to the value-ladenness of information quality and that doing so may improve the predictive and explanatory power of extant (...) models. (shrink)

Recent epistemology has reflected a growing interest in issues about the value of knowledge and the values informing epistemic appraisal. Is knowledge more valuable that merely true belief or even justified true belief? Is truth the central value informing epistemic appraisal or do other values enter the picture? Epistemic Value is a collection of previously unpublished articles on such issues by leading philosophers in the field. It will stimulate discussion of the nature of knowledge and of directions that might be (...) taken by the theory of knowledge. The contributors are Jason Baehr, Michael Brady, Berit Brogaard, Michael DePaul, Pascal Engel, Catherine Elgin, Alvin Goldman, John Greco, Stephen Grimm, Ward Jones, Martin Kusch, Jonathan Kvanvig, Michael Lynch, Erik Olsson, Wayne Riggs and Matthew Weiner. (shrink)

In this article I examine the contemporary discourses and debates that surround the sociology of spirituality, with especial attention to the term “spirituality”. To counter the widespread belief that this term lacks clarity and utility, I suggest reconsidering Max Weber’s use of the term “spirit,” as it refers to a recognisable ethic that results in specific behaviour, while still retaining its religious and spiritual connotations. Through focusing on two influential English figures in the post 9/11 God debate in the West, (...) Richard Dawkins and Karen Armstrong, I provide a brief case study of how Weber’s understanding of “spirit” serves great utility in illuminating what drives the ideas, identity-making and behaviour of contemporary atheists and those defending religion. By utilising Weber’s “spirit,” rather than the term spirituality, I demonstrate that this enables us to dig deep into the social context and backgrounds of these two individuals, and to avoid taking their statements at face value – a common criticism of sociology of spirituality studies. I argue that the use of “spirit,” in terms of a recognisable ethic that results in specific behaviour, would benefit the sociology of spirituality. This is because it grounds the God debaters’ ideas and beliefs in a recognisable human experience that eludes reductive distinctions and disembodied abstractions. (shrink)