Logical pluralism is the view that there is more than one correct logic. This very general characterization gives rise to a whole family of positions. I argue that not all of them are stable. The main argument in the paper is inspired by considerations known as the “collapse problem”, and it aims at the most popular form of logical pluralism advocated by JC Beall and Greg Restall. I argue that there is a more general argument available that challenges all (...) variants of logical pluralism that meet the following three conditions: that there are at least two correct logical systems characterized in terms of different consequence relations, that there is some sort of rivalry among the correct logics, and that logical consequence is normative. The hypothesis I argue for amounts to conditional claim: If a position satisfies all these conditions, then that position is unstable in the sense that it collapses into competing positions. (shrink)

In everyday life we often act adequately, yet without deliberation. For instance, we immediately obtain and maintain an appropriate distance from others in an elevator. The notion of normativity implied here is a very basic one, namely distinguishing adequate from inadequate, correct from incorrect, or better from worse in the context of a particular situation. In the first part of this paper I investigate such ‘situated normativity’ by focusing on unreflective expert action. More particularly, I use Wittgenstein’s examples of craftsmen (...) (tailors and architects) absorbed in action to introduce situated normativity. Situated normativity can be understood as the normative aspect of embodied cognition in unreflective skillful action. I develop Wittgenstein’s insight that a peculiar type of affective behaviour, ‘directed discontent’, is essential for getting things right without reflection. Directed discontent is a reaction of appreciation in action and is introduced as a paradigmatic expression of situated normativity. In the second part I discuss Wittgenstein’s ideas on the normativity of what he calls ‘blind’ rule-following and the ‘bedrock’ of immediate action. What matters for understanding the normativity of (even ‘blind’) rule-following, is not that one has the capacity for linguistic articulation or reflection but that one is reliably participating in a communal custom. In the third part I further investigate the complex relationships between unreflective skillful action, perception, emotion, and normativity. Part of this entails an account of the link between normativity at the level of the expert’s socio-cultural practice and the individual’s situated and lived normativity. (shrink)

This chapter attempts to give a brief overview of nonclassical (-logic) theories of truth. Due to space limitations, we follow a victory-through-sacrifice policy: sacrifice details in exchange for clarity of big-picture ideas. This policy results in our giving all-too-brief treatment to certain topics that have dominated discussion in the non-classical-logic area of truth studies. (This is particularly so of the ‘suitable conditoinal’ issue: §4.3.) Still, we present enough representative ideas that one may fruitfully turn from this essay to the more-detailed (...) cited works for further study. Throughout – again, due to space – we focus only on the most central motivation for standard non-classical-logic-based truth theories: namely, truth-theoretic paradox (specifically, due to space, the liar paradox). (shrink)

Logical pluralism is the view that there is more than one correct logic. Most logical pluralists think that logic is normative in the sense that you make a mistake if you accept the premisses of a valid argument but reject its conclusion. Some authors have argued that this combination is self-undermining: Suppose that L1 and L2 are correct logics that coincide except for the argument from Γ to φ, which is valid in L1 but invalid in L2. If you accept (...) all sentences in Γ, then, by normativity, you make a mistake if you reject φ. In order to avoid mistakes, you should accept φ or suspend judgment about φ. Both options are problematic for pluralism. Can pluralists avoid this worry by rejecting the normativity of logic? I argue that they cannot. All else being equal, the argument goes through even if logic is not normative. (shrink)

C. S. Lewis is one of the most beloved Christian apologists of the twentieth century; David Hume and Bertrand Russell are among Christianity’s most important critics. This book puts these three intellectual giants in conversation with one another on various important questions: the existence of God, suffering, morality, reason, joy, miracles, and faith. Alongside irreconcilable differences, surprising areas of agreement emerge. Curious readers will find penetrating insights in the reasoned dialogue of these three great thinkers.

Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, the view that there is more than one genuine deductive consequence relation, (...) a position which has profound implications for many linguists as well as for philosophers. We should not search for one true logic, since there are many. (shrink)

The concept of ecosystem services is a way of visualizing the instrumental value that nature has for human beings. Most ecosystem services can be performed by more than one species. This fact is sometimes used as an argument against the preservation of species. However, even though substitutability does detract from the instrumental value of a species, it also adds option value to it. The option value cannot make a substitutable species as instrumentally valuable as a non-substitutable species, but in many (...) cases, it can add enough value to make the species more valuable than the projects that threaten its existence. (shrink)

Angesichts der ökologischen Krise und der zunehmenden Zivilisationsprobleme ist es notwendig, einen philosophischen Naturbegriff, der das Verhältnis des Menschen zur Natur aufgrund dieser Tatsache neu bestimmt, zu entwickeln. Der Jesuit, Paläontologe und Philosoph Pierre Teilhard de Chardin (1881-1955) ist ein herausragendes Beispiel einer Vermittlung von Naturwissenschaft und Naturphilosophie. Teilhard entwirft eine Zusammenschau von transzendent-metaphysischer Teleologie, die aus dem christlichen Glauben heraus Gott als einzige Zweckursache des Geschehens sieht, philosophischer Anthropologie und naturwissenschaftlich orientierter kausalmechanischer Evolutionstheorie, dem allmählichen Entwickeln eines höheren Zustands (...) aus einem vorhergehenden. Die in der Ursache gegründeten Seinszusammenhänge ergeben einen vom Ziel her bestimmten Zusammenhang. Gott ist Totum alles wirklich Seienden im Horizont des möglichen Seins. Das für Teilhard so wichtige teleologische Prinzip hat seinen philosophiehistorischen Ursprung bei Aristoteles, der damit eine Denktradition begründete, die im Gegensatz zum kausal-mechanischen Weltbild der Naturwissenschaften steht und die sich über Thomas von Aquin und Hegel bis zu Teilhard als vorläufig letztem Höhepunkt erhält. Der aus Teilhards Naturphilosophie folgende Optimismus kann von großer Bedeutung für die Gegenwart sein. Er resultiert aus der Übernahme von Verantwortung für die Schöpfung und ist die ethische Konsequenz aus Naturfinalität und christlichem Universalismus. Der Autor: Erik Lehnert, geb. 1975 in Berlin. Studium der Philosophie, Geschichte sowie Ur- und Frühgeschichte in Berlin, z. Z. Promotion über die Aktualität der Philosophie von Karl Jaspers. 1995 bis 1997 Mitherausgeber von "Aletheia - Neues kritisches Journal der Philosophie, Theologie, Geschichte und Politik", Veröffentlichungen u.a. zur Philosophie des 19. Jahrhunderts. (shrink)

Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, the view that there is more than one genuine deductive consequence relation, (...) a position which has profound implications for many linguists as well as for philosophers. We should not search for one true logic, since there are many. (shrink)

In Spandrels of Truth, Beall concisely presents and defends a modest, so-called dialetheic theory of transparent truth.

The fundamental problem of Christology is the apparent contradiction of Christ as recorded at Chalcedon. Christ is human and Christ is divine. Being divine entails being immutable. Being human entails being mutable. Were Christ two different persons there’d be no apparent contradiction. But Chalcedon rules as much out. Were Christ only partly human or only partly divine there’d be no apparent contradiction. But Chalcedon rules as much out. Were the very meaning of ‘mutable’ and/or ‘immutable’ other than what they are, (...) there’d be no apparent contradiction. But the meaning is what it is, and changing the meaning of our terms to avoid the apparent contradiction of Christ is an apparent flight from reality. What, in the end, is the explanation of the apparent contradiction of Christ? Theologians and philosophers have long advanced many consistency-seeking answers, all of which increase the metaphysical or semantical complexity of the otherwise strikingly simple but radical core of Christianity’s GodMan. In this paper, I put the simplest explanation on the theological table: namely, Christ appears to be contradictory because Christ is contradictory. This explanation may sound complicated to the many who are steeped in the mainstream account of logic according to which logic precludes the possibility of true contradictions. But the mainstream account of logic can and should be rejected. Ridding theology of the dogma of mainstream logic illuminates the simple though striking explanation of the apparent contradiction of Christ — namely, that Christ is a contradictory being. Just as the simplest explanation to the apparent roundness of the earth has earned due acceptance, so too should the simplest explanation of the apparent contradiction of Christ. (shrink)

Marxism: Crisis or Renewal? It has become commonplace nowadays to speak of a crisis— and even of the end— of Marxism. This dire forecast can hardly be ...

One can (for the most part) formulate a model of a classical system in either the Lagrangian or the Hamiltonian framework. Though it is often thought that those two formulations are equivalent in all important ways, this is not true: the underlying geometrical structures one uses to formulate each theory are not isomorphic. This raises the question of whether one of the two is a more natural framework for the representation of classical systems. In the event, the answer is yes: (...) I state and sketch proofs of two technical results—inspired by simple physical arguments about the generic properties of classical systems—to the effect that, in a precise sense, classical systems evince exactly the geometric structure Lagrangian mechanics provides for the representation of systems, and none provided by Hamiltonian. The argument not only clarifies the conceptual structure of the two systems of mechanics, but also their relations to each other and their respective mechanisms for representing physical systems. It also shows why naïvely structural approaches to the representational content of physical theories cannot work. [Lagrange] grasped that he had gained a method of stating dynamical truths in a way, which is perfectly indifferent to the particular methods of measurement employed in fixing the positions of the various parts of the system. Accordingly, he went on to deduce equations of motion, which are equally applicable whatever quantitative measurements have been made, provided that they are adequate to fix positions. The beauty and almost divine simplicity of these equations is such that these formulae are worthy to rank with those mysterious symbols which in ancient times were held directly to indicate the Supreme Reason at the base of all things. (Whitehead [1948], p. 63)1. Introduction2.Classical Systems3. The Possible Interactions of a Classical System and the Structure of Its Space of States4. Classical Systems Are Lagrangian5. Classical Systems Are Not Hamiltonian6. How Lagrangian and Hamiltonian Mechanics Represent Classical Systems7. The Conceptual Structure of Classical Mechanics. (shrink)

In Consequentialism Reconsidered, Carlson strives to find a plausible formulation of the structural part of consequentialism. Key notions are analyzed, such as outcomes, alternatives and performability. Carlson argues that consequentialism should be understood as a maximizing rather than a satisficing theory, and as temporally neutral rather than future oriented. He also shows that certain moral theories cannot be reformulated as consequentialist theories. The relevant alternatives for an agent in a situation are taken to comprise all actions that they can perform (...) in the situation. The defense of this idea necessitates certain modifications to the standard consequentialist criteria of obligatoriness, rightness and wrongness. The problem of whether agents should adapt their actions to their own future actions is also addressed. Further, a conditional analysis of performability is suggested, and it is argued that particular actions should in this connection be regarded as `abstract' rather than `concrete'. The final chapter sketches a consequentialist theory for collective agents. (shrink)

Maintaining systems of military plans is critical for military effectiveness, but is also challenging. Plans will become obsolete as the world diverges from the assumptions on which they rest. If too many ad hoc changes are made to intermeshed plans, the ensemble may no longer lead to well-synchronized and coordinated operations, resulting in the system of plans becoming itself incoherent. We describe in what follows an Adaptive Planning process that we are developing on behalf of the Air Force Research Laboratory (...) (Rome) with the goal of addressing problems of these sorts through cyclical collaborative plan review and maintenance. The interactions of world state, blue force status and associated plans are too complex for manual adaptive processes, and computer-aided plan review and maintenance is thus indispensable. We argue that appropriate semantic technology can 1) provide richer representation of plan-related data and semantics, 2) allow for flexible, non-disruptive, agile, scalable, and coordinated changes in plans, and 3) support more intelligent analytical querying of plan-related data. (shrink)

In this paper, we give a new argument for the existence of moral luck. The argument is based on a manipulation case in which two agents both lack second-order control over their actions, but one of them has first-order control. Our argument is, we argue, in several respects stronger than standard arguments for moral luck. Five possible objections to the argument are considered, and its general significance for the debate on moral luck is briefly discussed.

In this paper, we distinguish two versions of Curry's paradox: c-Curry, the standard conditional-Curry paradox, and v-Curry, a validity-involving version of Curry's paradox that isn’t automatically solved by solving c-curry. A unified treatment of curry paradox thus calls for a unified treatment of both c-Curry and v-Curry. If, as is often thought, c-Curry paradox is to be solved via non-classical logic, then v-Curry may require a lesson about the structure—indeed, the substructure—of the validity relation itself.

The Law of Non-Contradiction - that no contradiction can be true - has been a seemingly unassailable dogma since the work of Aristotle, in Book G of the Metaphysics. It is an assumption challenged from a variety of angles in this collection of original papers. Twenty-three of the world's leading experts investigate the 'law', considering arguments for and against it and discussing methodological issues that arise whenever we question the legitimacy of logical principles. The result is a balanced inquiry into (...) a venerable principle of logic, one that raises questions at the very centre of logic itself. The aim of this volume is to present a comprehensive debate about the Law of Non-Contradiction, from discussions as to how the law is to be understood, to reasons for accepting or re-thinking the law, and to issues that raise challenges to the law, such as the Liar Paradox, and a 'dialetheic' resolution of that paradox. The editors contribute an introduction which surveys the issues and serves to frame the debate, and a useful bibliography offering a guide to further reading. This volume will be of interest to anyone working on philosophical logic, and to anyone who has ever wondered about the status of logical laws and about how one might proceed to mount arguments for or against them. (shrink)

The book revives the neutral monism of Mach, James, and Russell and applies the updated view to the problem of redefining physicalism, explaining the origins of sensation, and the problem of deriving extended physical objects and systems from an ontology of events.

There are several theses in political science that are usually explicitly called ‘laws’. Other theses are generally thought of as laws, but often without being explicitly labelled as such. Still other claims are well-supported and arguably interesting, while no one would be tempted to call them laws. This situation raises philosophical questions: which theses deserve to be called laws and which not? And how should we decide about this? In this paper we develop and motivate a strategy for thinking about (...) laws in political science which integrates two core concepts: spatio-temporal stability and social mechanisms. The proposed strategy is a set of guidelines that political scientists can use to reflect on and argue about specific cases within their discipline, not a clear-cut demarcation criterion. We defend and motivate this strategy and apply it to two cases (one with respect to state repression, one about parliamentary elections). After we have developed and motivated our strategy for political science, we show that our proposal is relevant for other disciplines in the social sciences. We explain how our views fit into critical realism and embed them in the debate on laws in general philosophy of science and in the philosophy of the social sciences. (shrink)

Consequence is at the heart of logic, and an account of consequence offers a vital tool in the evaluation of arguments. This text presents what the authors term as 'logical pluralism' arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them.

Erik Wielenberg has presented an objection to divine command theory (DCT) alleging that DCT has the troubling implication that psychopaths have no moral obligations. Matthew Flannagan has replied to Wielenberg’s argument. Here, I defend the view that, despite Flannagan’s reply, the psychopath objection presents a serious problem for the versions of DCT defended by its most prominent contemporary advocates — Robert Adams, C. Stephen Evans, and William Lane Craig.

A consideration of Mach's elements, his philosophy of neutral monism, and philosophy of physics, especially space and time, much of it based on unpublished writings from the Nachlass and other original sources. The historical connection between Mach and logical positivism is shown to be superficial at best, and Mach's elements are shown to be mind independent natural qualities (world-elements) with dynamic force, not limited to human sensations.

This paper presents a simple but, by my lights, effective argument for a subclassical account of logic—an account according to which logical consequence is (properly) weaker than the standard, so‐called classical account. Alas, the vast bulk of the paper is setup. Because of the many conflicting uses of ‘logic’ the paper begins, following a disclaimer on logic and inference, by fixing the sense of ‘logic’ in question, and then proceeds to rehearse both the target subclassical account of logic and its (...) well‐known relative (viz., classical logic). With background in place the simple argument—which takes up less than five pages—is advanced. My hope is that the minimal presentation will help to get ‘the simple argument’ plainly on the table, and that subsequent debate can move us forward. (shrink)

The Precautionary Principle is both celebrated and criticized. It has become an important principle for decision making, but it is also subject to criticism. One problem that is often pointed out with the principle is that is not clear what it actually says and how to use it. I have taken on this problem by performing an analysis of some of the most influential formulations of the principle in an attempt to identify the core ideas behind it, with the purpose (...) of producing a formulation of the principle that is clear and practically applicable. It was found that what is called the Precautionary Principle is not a principle that tells us what do to achieve extra precaution or how to handle situations when extra precaution is called for. Instead, it was found to be a list of circumstances that each justify extra precaution. An analysis of some of the most common and influential formulations of the Precautionary Principle identified four such circumstances: (1) When we deal with important values that tend to be systematically downplayed by traditional decision methods – such as human health and the environment. (2) When we suspect that the decision might lead to irreversible and severe consequences and the values at stake are also irreplaceable, (3) When timing is at least as important as being right. (4) When it is more important to avoid false negatives than false positives. This interpretation of the Precautionary Principle does not say anything about what kind of actions to take when extra precaution is called for, but it does provide a clear and practically useful list of circumstances that call for extra precaution and that is not subject to the most common objections to the Precautionary Principle. (shrink)

Ruth Chang has defended a concept of "parity", implying that two items may be evaluatively comparable even though neither item is better than or equally good as the other. This article takes no stand on whether there actually are cases of parity. Its aim is only to make the hitherto somewhat obscure notion of parity more precise, by defining it in terms of the standard value relations. Given certain plausible assumptions, the suggested definiens is shown to state a necessary and (...) sufficient condition for parity, as this relation is envisaged by Chang. (shrink)

A good argument is one whose conclusions follow from its premises; its conclusions are consequences of its premises. But in what sense do conclusions follow from premises? What is it for a conclusion to be a consequence of premises? Those questions, in many respects, are at the heart of logic (as a philosophical discipline). Consider the following argument: 1. If we charge high fees for university, only the rich will enroll. We charge high fees for university. Therefore, only the rich (...) will enroll. There are many different things one can say about this argument, but many agree that if we do not equivocate (if the terms mean the same thing in the premises and the conclusion) then the argument is valid, that is, the conclusion follows deductively from the premises. This does not mean that the conclusion is true. Perhaps the premises are not true. However, if the premises are true, then the conclusion is also true, as a matter of logic. This entry is about the relation between premises and conclusions in valid arguments. (shrink)

In a discussion of Parfit's Drops of Water case, Zach Barnett has recently proposed a novel argument against “No Small Improvement”; that is, the claim that a single drop of water cannot affect the magnitude of a thirsty person's suffering. We first show that Barnett's argument can be significantly strengthened, and also that the fundamental idea behind it yields a straightforward argument for the transitivity of equal suffering. We then suggest that defenders of No Small Improvement could reject a Pareto (...) principle that is presupposed in Barnett's argument and our developments of it. However, this does not save No Small Improvement, since there is a convincing argument against this claim that does not presuppose the Pareto principle. (shrink)

John Broome has argued that incomparability and vagueness cannot coexist in a given betterness order. His argument essentially hinges on an assumption he calls the ‘collapsing principle’. In an earlier article I criticized this principle, but Broome has recently expressed doubts about the cogency of my criticism. Moreover, Cristian Constantinescu has defended Broome’s view from my objection. In this paper, I present further arguments against the collapsing principle, and try to show that Constantinescu’s defence of Broome’s position fails.

The Liar paradox raises foundational questions about logic, language, and truth (and semantic notions in general). A simple Liar sentence like 'This sentence is false' appears to be both true and false if it is either true or false. For if the sentence is true, then what it says is the case; but what it says is that it is false, hence it must be false. On the other hand, if the statement is false, then it is true, since it (...) says (only) that it is false. -/- How, then, should we classify Liar sentences? Are they true or false? A natural suggestion would be that Liars are neither true nor false; that is, they fall into a category beyond truth and falsity. This solution might resolve the initial problem, but it beckons the Liar's revenge. A sentence that says of itself only that it is false or beyond truth and falsity will, in effect, bring back the initial problem. The Liar's revenge is a witness to the hydra-like nature of Liars: in dealing with one Liar you often bring about another. -/- JC Beall presents fourteen new essays and an extensive introduction, which examine the nature of the Liar paradox and its resistance to any attempt to solve it. Written by some of the world's leading experts in the field, the papers in this volume will be an important resource for those working in truth studies, philosophical logic, and philosophy of language, as well as those with an interest in formal semantics and metaphysics. (shrink)

Three leading philosopher-logicians present a clear and concise overview of formal theories of truth, explaining key logical techniques. Truth is as central topic in philosophy: formal theories study the connections between truth and logic, including the intriguing challenges presented by paradoxes like the Liar.

This book is a collection of important writings on deflationism, with a detailed introduction and an exhaustive annotated bibliography. Among philosophers concerned with the theory of truth, deflationist positions have quickly gained ground and have become the most popular. Yet heretofore there has been no single book to which the readers can go for a detailed, overall view of the entire phenomenon of deflationism. This is the only available map of the whole terrain of deflationism. -/- Deflationism is a comparatively (...) new approach, though it has its roots in the thinking of some philosophers in the early twentieth century. Deflationism rejects all the traditional theories of truth: the correspondence theory (truth corresponds with facts), the coherence theory (truth is membership of a coherent set of beliefs), the pragmatist theory is provability or verifiability). This book gives complete coverage to all the different varieties of deflationism, and to earlier philosophers who anticipated deflationism. The articles and exerpts include classic works by Frege, Ayer, Ramsey, Tarsk, and Quine, and recent works by the leading deflationist authors of today: Paul Horwich, Hartry Field, Stephen Schiffer, Robert Brandom, and Stephen Leeds. (shrink)

The aim of this chapter is to use philosophy and, in particular ethical theory, to identify and explore some potential conflicts.

Much controversy surrounds the question of what ought to be the proper definition of 'singularity' in general relativity, and the question of whether the prediction of such entities leads to a crisis for the theory. I argue that a definition in terms of curve incompleteness is adequate, and in particular that the idea that singularities correspond to 'missing points' has insurmountable problems. I conclude that singularities per se pose no serious problem for the theory, but their analysis does bring into (...) focus several problems of interpretation at the foundation of the theory often ignored in the philosophical literature. (shrink)