This paper argues that we should solve paradoxes for propositions (such as the Russell–Myhill paradox) in essentially the same way that we solve Russellian paradoxes for sets. That is, the standard, iterative approach to sets is extended to include properties, and then the resulting hierarchy of sets and properties is used to construct propositions. Propositions on this account are structured in the sense of mirroring the sentences that express them, and they would seem to serve the needs of philosophers of (...) language and metaphysicians who rely on such propositions. The resulting account has limitations, comparable to those faced by the iterative approach to sets, but it is argued to be in important ways preferable to others that have been proposed. (shrink)

The aim of the paper is to argue that all—or almost all—logical rules have exceptions. In particular, it is argued that this is a moral that we should draw from the semantic paradoxes. The idea that we should respond to the paradoxes by revising logic in some way is familiar. But previous proposals advocate the replacement of classical logic with some alternative logic. That is, some alternative system of rules, where it is taken for granted that these hold without exception. (...) The present proposal is quite different. According to this, there is no such alternative logic. Rather, classical logic retains the status of the ‘one true logic’, but this status must be reconceived so as to be compatible with (almost) all of its rules admitting of exceptions. This would seem to have significant repercussions for a range of widely held views about logic: e.g. that it is a priori, or that it is necessary. Indeed, if the arguments of the paper succeed, then such views must be given up. (shrink)

Plausibly, mathematical claims are true, but the fundamental furniture of the world does not include mathematical objects. This can be made sense of by providing mathematical claims with paraphrases, which make clear how the truth of such claims does not require the fundamental existence of mathematical objects. This paper explores the consequences of this type of position for explanatory structure. There is an apparently straightforward relationship between this sort of structure, and the logical sort: i.e. logically complex claims are explained (...) by logically simpler ones. For example, disjunctions are explained by their (true) disjuncts, while generalizations are explained by their (true) instances. This would seem as plausible in the case of mathematics as elsewhere. Also, it would seem to be something that the anti-realist approaches at issue would want to preserve. It will be argued, however, that these approaches cannot do this: they lead not merely to violations of the familiar principles relating logical and explanatory structure, but even to reversals of these. That is, there are cases where generalizations explain their instances, or disjunctions their disjuncts. (shrink)

Building on an earlier argument that isolationism may well be America's natural state, Schlesinger explains how the apparent rejection of isolationism during the long standoff with the Soviet Union during the Cold War was nothing more than a reaction to what was perceived as a direct and urgent threat to the security of the United States. In the wake of the Cold War's end, the incompatibility between collective international action and conceptions of national interest has highlighted the difficulties of (...) democracies in sending their armies to war, especially those that do not directly threaten national security. While much more can and should be done to enhance the effectiveness of global organizations already in place, what is needed, Schlesinger argues, is both a reexamination of the Wilsonian doctrine of collective security and a greater concentration on preventive diplomacy. (shrink)

The U.S. rejected isolationism during the standoff with the Soviet Union during the Cold War because of the perceived direct threat to U.S. security. Schlesinger argues that we must now both reexamine the Wilsonian doctrine of collective security and focus on preventive diplomacy.

After examining these decisions in their one-period setting, they devote most of the book to a multiperiod context, which adds the long-term perspective most risk management analyses require.

General-elimination harmony articulates Gentzen’s idea that the elimination-rules are justified if they infer from an assertion no more than can already be inferred from the grounds for making it. Dummett described the rules as not only harmonious but stable if the E-rules allow one to infer no more and no less than the I-rules justify. Pfenning and Davies call the rules locally complete if the E-rules are strong enough to allow one to infer the original judgement. A method is given (...) of generating harmonious general-elimination rules from a collection of I-rules. We show that the general-elimination rules satisfy Pfenning and Davies’ test for local completeness, but question whether that is enough to show that they are stable. Alternative conditions for stability are considered, including equivalence between the introduction- and elimination-meanings of a connective, and recovery of the grounds for assertion, finally generalizing the notion of local completeness to capture Dummett’s notion of stability satisfactorily. We show that the general-elimination rules meet the last of these conditions, and so are indeed not only harmonious but also stable. (shrink)

In a series of papers, 137–158; 1994, Midwest Studies in Philosophy, 23, 61–74, 1999) Fine develops his hylomorphic theory of embodiments. In this article, we supply a formal semantics for this theory that is adequate to the principles laid down for it in. In Section 1, we lay out the theory of embodiments as Fine presents it. In Section 2, we argue on Cantorian grounds that the theory needs to be stabilized, and sketch some ways forward, discussing various choice points (...) in modeling the view. In Section 3, we develop a formal semantics for the theory of embodiments by constructing embodiments in stages and restricting the domain of the second-order quantifiers. In Section 4 we give a few illustrative examples to show how the models deliver Finean hylomorphic consequences. In Section 5, we prove that Fine’s principles are sound with respect to this semantics. In Section 6 we present some inexpressibility results concerning Fine’s various notions of parthood and show that in our formal semantics these notions are all expressible using a single mereological primitive. In Section 7, we prove several mereological results stemming from the model theory, showing that the mereology is surprisingly robust. In Section 8, we draw some philosophical lessons from the formal semantics, and in particular respond to Koslicki’s main objection to Fine’s theory. In the appendix we present proofs of the inexpressibility results of Section 6. (shrink)

German classicist's monumental study of the origins of European thought in Greek literature and philosophy. Brilliant, widely influential. Includes "Homer's View of Man," "The Olympian Gods," "The Rise of the Individual in the Early Greek Lyric," "Pindar's Hymn to Zeus," "Myth and Reality in Greek Tragedy," and "Aristophanes and Aesthetic Criticism.".

Collecting, comparing, and computing molecular sequences are among the most prevalent practices in contemporary biological research. They represent a specific way of producing knowledge. This paper explores the historical development of these practices, focusing on the work of Margaret O. Dayhoff, Richard V. Eck, and Robert S. Ledley, who produced the first computer-based collection of protein sequences, published in book format in 1965 as the Atlas of Protein Sequence and Structure. While these practices are generally associated with the rise of (...) molecular evolution in the 1960s, this paper shows that they grew out of research agendas from the previous decade, including the biochemical investigation of the relations between the structures and function of proteins and the theoretical attempt to decipher the genetic code. It also shows how computers became essential for the handling and analysis of sequence data. Finally, this paper reflects on the relationships between experimenting and collecting as two distinct “ways of knowing” that were essential for the transformation of the life sciences in the twentieth century. (shrink)

Serious actualism is the prima facie plausible thesis that things couldn’t have been related while being nothing. The thesis plays an important role in a number of arguments in metaphysics, e.g., in Plantinga’s argument for the claim that propositions do not ontologically depend on the things that they are about and in Williamson’s argument for the claim that he, Williamson, is necessarily something. Salmon has put forward that which is, arguably, the most pressing challenge to serious actualists. Salmon’s objection is (...) based on a scenario intended to elicit the judgment that merely possible entities may nonetheless be actually referred to, and so may actually have properties. It is shown that predicativism, the thesis that names are true of their bearers, provides the resources for replying to Salmon’s objection. In addition, an argument for serious actualism based on Stephanou, 219–250 2007) is offered. Finally, it is shown that once serious actualism is conjoined with some minimal assumptions, it implies property necessitism, the thesis that necessarily all properties are necessarily something, as well as a strong comprehension principle for higher-order modal logic according to which for every condition there necessarily is the property of being a thing satisfying that condition. (shrink)

Are there ‘self-referential’ propositions? That is, propositions that say of themselves that they have a certain property, such as that of being false. There can seem reason to doubt that there are. At the same time, there are a number of reasons why it matters. For suppose that there are indeed no such propositions. One might then hope that while paradoxes such as the Liar show that many plausible principles about sentences must be given up, no such fate will befall (...) principles about propositions. But the existence of self-referential propositions would dash such hopes. Further, the existence of such propositions would also seem to challenge the widespread claim that Liar sentences fail to express propositions. The aim of this paper is thus to settle the question–at least given an assumption. In particular, I argue that if propositions are structured, then self-referential propositions exist. (shrink)

European thought begins with the Greeks. Scientific and philosophic thinking--the pursuit of truth and the grasping of unchanging principles of life--is a historical development, an achievement; and, as Bruno Snell writes in The Discovery of the Mind, nothing less than a revolution. The Greeks did not take mental resources already at their disposal and merely map out new subjects for discussion and investigation. In poetry, drama, and philosophy they in fact discovered the human mind. The stages in man's gradual (...) understanding of himself are revealed in the course of ancient literature from Homer to Virgil. A rational view of the nature of man slowly established itself in the creations of epic and lyric poetry, tragedy and literary criticism, pre-Socratic thought, and early Greek ethics all the way to the discovery of humanitas and the spiritual landscape of Virgil's Arcadia. The Discovery of the Mind is a landmark work in tracing this evolution of consciousness--one of the distinguishing characteristics of the history of man. (shrink)

Ontological pluralism is the view that there are different ways to exist. It is a position with deep roots in the history of philosophy, and in which there has been a recent resurgence of interest. In contemporary presentations, it is stated in terms of fundamental languages: as the view that such languages contain more than one quantifier. For example, one ranging over abstract objects, and another over concrete ones. A natural worry, however, is that the languages proposed by the pluralist (...) are mere notational variants of those proposed by the monist, in which case the debate between the two positions would not seem to be substantive. Jason Turner has given an ingenious response to this worry, in terms of a principle that he calls ‘logical realism’. This paper offers a counter-response on behalf of the ‘notationalist’. I argue that, properly applied, the principle of logical realism is no threat to the claim that the languages in question are notational variants. Indeed, there seems to be every reason to think that they are. (shrink)

Are there different sizes of infinity? That is, are there infinite sets of different sizes? This is one of the most natural questions that one can ask about the infinite. But it is of course generally taken to be settled by mathematical results, such as Cantor’s theorem, to the effect that there are infinite sets without bijections between them. These results settle the question, given an almost universally accepted principle relating size to the existence of functions. The principle is: for (...) any sets A and B, if A is the same size as B, then there is a bijection from A to B. The aim of the paper, however, is to argue that this question is in fact wide open: to argue that we are not in a position to know the answer, because we are not in one to know the principle. The aim, that is, is to argue that for all we know there is only one size of infinity. (shrink)

I argue that dialetheists have a problem with the concept of logical consequence. The upshot of this problem is that dialetheists must appeal to a hierarchy of concepts of logical consequence. Since this hierarchy is akin to those invoked by more orthodox resolutions of the semantic paradoxes, its emergence would appear to seriously undermine the dialetheic treatments of these paradoxes. And since these are central to the case for dialetheism, this would represent a significant blow to the position itself.

I argue that dialetheists have a problem with the concept of logical consequence. The upshot of this problem is that dialetheists must appeal to a hierarchy of concepts of logical consequence. Since this hierarchy is akin to those invoked by more orthodox resolutions of the semantic paradoxes, its emergence would appear to seriously undermine the dialetheic treatments of these paradoxes. And since these are central to the case for dialetheism, this would represent a significant blow to the position itself.

This paper discusses three generic types or ways of understanding the common good found in the literature, and then describes the implications of the integral common good for seven key practices of humanistic management. In particular, compared to conventional management, an approach to humanistic management based on the integral common good tends to: 1) have institutional mission and vision statements that are developed by multiple stakeholders that emphasize social and ecological well-being ahead of financial well-being; 2) have a strategic orientation (...) that emphasizes collaboration, “minimizer” and “transformer” generic strategies, a Radical Resource Based View, and uses Porter’s five forces as a way to foster collaboration; 3) structure organizations based on experimentation, sensitization, dignification, and participation ; 4) develop control systems based on value loops that seek to enhance the flourishing of multiple stakeholders; 5) emphasize multi-directional multi-stakeholder communication; 6) invite all stakeholders to participate in making decisions, including developing and choosing alternatives; 7) foster leadership based on socialized power, a focus on SMART 2.0 goals, a desire to ensure everyone is treated fairly, and an emphasis on relationships that nurture community and the integral common good. Implications for research and teaching are discussed. (shrink)

This book provides a thoroughly worked out and systematic presentation of an interpretivist position in the philosophy of mind, of the view that having mental properties is a matter of interpretation. Bruno Mölder elaborates and defends a particular version of interpretivism, the ascription theory, which explicates the possession of mental states with contents in terms of their canonical ascribability, and shows how it can withstand various philosophical challenges. Apart from a defence of the ascription theory from the objections commonly (...) directed against interpretivism, the book provides a critical analysis of major alternative accounts of mental state possession as well as the interpretivist ideas originating from Donald Davidson and Daniel Dennett. The viability of the approach is demonstrated by showing how one can treat mental causation as well as the faculties closely connected with consciousness -- perception and the awareness of one’s own mental states -- in the interpretivist framework. (shrink)

This chapter challenges Cantor’s notion of the ‘power’, or ‘cardinality’, of an infinite set. According to Cantor, two infinite sets have the same cardinality if and only if there is a one-to-one correspondence between them. Cantor showed that there are infinite sets that do not have the same cardinality in this sense. Further, he took this result to show that there are infinite sets of different sizes. This has become the standard understanding of the result. The chapter challenges this, arguing (...) that we have no reason to think there are infinite sets of different sizes. It begins with an initial argument against Cantor’s claim that there are infinite sets of different sizes and then proceeds, by way of an analogy between Cantor’s mathematical result and Russell’s paradox, to a more direct argument. (shrink)

The Sweep of Probability broadly surveys this burgeoning field of philosophical inquiry. The book is unique because it engages the reader in contemporary debates about a variety of issues in probability theory without requiring a background in probability and mathematics. It also illustrates how the concerns of probability relate not only to philosophical inquiry but to aspects of everyday life. The primary aim of this book, claims George N.Schlesinger in the introduction, is to illustrate, by discussing a wide variety (...) of topics, that elementary probability belongs to one of those rare intellectual ventures where the returns are disproportionately high to the initial investment of effort. (shrink)

The notion of a proposition is central to philosophy. But it is subject to paradoxes. A natural response is a hierarchical account and, ever since Russell proposed his theory of types in 1908, this has been the strategy of choice. But in this paper I raise a problem for such accounts. While this does not seem to have been recognized before, it would seem to render existing such accounts inadequate. The main purpose of the paper, however, is to provide a (...) new hierarchical account that solves the problem. (shrink)

Abstract: The standard picture of rationality requires that the agent acts so as to realize her most preferred alternative in the light of her own desires and beliefs. However, there are circumstances where such an agent can predict that she will act against her preferences. The story of Ulysses and the Sirens is the paradigmatic example of such cases. In those circumstances the orthodoxy requires the agent to be ‘sophisticated’. That is to say, she should take into account her expected (...) future choices and prevent her future self to act in certain ways. She should ‘bind’ herself to a certain course of action. This is a form of causal commitment. It is generally recognized that this form of self-commitment is the only one that is available to a rational agent. Rational commitment, where the agent gives herself a reason to act in a certain way rather than making herself act in that way, is considered not feasible. In this paper, I question this verdict. I sketch the broad outlines of a model of rational commitment, which takes as its starting point Michael Bratman’s ‘planning theory’ of intention. There are two important objections against this theory (one by John Broome and one by the Dutch philosopher Govert den Hartogh.) Both criticisms claim that such a theory is a form of ‘bootstrapping’ reasons for action into existence. In the remainder of the paper, I will defend the theory against these objections. This way, I hope to establish that defending the feasibility of rational commitment is not an obvious mistake. (shrink)

Metaphysically possible worlds have many uses. Epistemically possible worlds promise to be similarly useful, especially in connection with propositions and propositional attitudes. However, I argue that there is a serious threat to the natural accounts of epistemically possible worlds, from a version of Russell’s paradox. I contrast this threat with David Kaplan’s problem for metaphysical possible world semantics: Kaplan’s problem can be straightforwardly rebutted, the problems I raise cannot. I argue that although there may be coherent accounts of epistemically possible (...) worlds with fruitful applications, any such an account must fundamentally compromise the basic idea behind epistemic possibility. (shrink)

German classicist's monumental study of the origins of European thought in Greek literature and philosophy.

This paper offers two competing accounts of normative requirements, each of which purports to explain why some—but not all—requirements are normative in the sense of being related to normative reasons in some robust way. According to the reasons-sensitive view, normative requirements are those and only those which are sensitive to normative reasons. On this account, normative requirements are second-order statements about what there is conclusive reason to do, in the broad sense of the term. According to the reasons-providing view—which I (...) attribute to John Broome—normative requirements are those and only those which constitute or provide normative reasons. I argue that the reasons-providing view is susceptible to two serious objections. First, the view generates an explanatory gap. Secondly, the view is implausible. I argue that these two objections give us reason to prefer the reasons-sensitive view of normative requirements over the reasons-providing view. (shrink)