We lay out the fatalist’s argument, making sure to clarify which dialectical moves are available to the libertarian. We then offer a more robust presentation of Ockhamism, responding to obvious objections and teasing out the implications of the view. At this point, we discuss presentism and eternalism in more detail. We then present our argument for the claim that the libertarian cannot take Ockham’s way out of the fatalism argument unless she rejects presentism. Finally, we consider and dispense with objections (...) to our argument. In the end, it ought to be clear that the libertarian must make a choice between Ockham’s way out and presentism. (shrink)

Goldman, though still a reliabilist, has made some recent concessions to evidentialist epistemologies. I agree that reliabilism is most plausible when it incorporates certain evidentialist elements, but I try to minimize the evidentialist component. I argue that fewer beliefs require evidence than Goldman thinks, that Goldman should construe evidential fit in process reliabilist terms, rather than the way he does, and that this process reliabilist understanding of evidence illuminates such important epistemological concepts as propositional justification, ex ante justification, and defeat.

Skeptics of the moral case against industrial farming often assert that harm to animals in industrial systems is limited to isolated instances of abuse that do not reflect standard practice and thus do not merit criticism of the industry at large. I argue that even if skeptics are correct that abuse is the exception rather than the rule, they must still answer for two additional varieties of serious harm to animals that are pervasive in industrial systems: procedural harm and institutional (...) oppression. That procedural and institutional harms create conditions under which abuse is virtually inevitable only increases the skeptic's burden. (shrink)

Extension is probably the most general natural property. Is it a fundamental property? Leibniz claimed the answer was no, and that the structureless intuition of extension concealed more fundamental properties and relations. This paper follows Leibniz's program through Herbart and Riemann to Grassmann and uses Grassmann's algebra of points to build up levels of extensions algebraically. Finally, the connection between extension and measurement is considered.

I trace changes to Frege's understanding of numbers, arguing in particular that the view of arithmetic based in geometry developed at the end of his life (1924–1925) was not as radical a deviation from his views during the logicist period as some have suggested. Indeed, by looking at his earlier views regarding the connection between numbers and second-level concepts, his understanding of extensions of concepts, and the changes to his views, firstly, in between Grundlagen and Grundgesetze, and, later, after learning (...) of Russell's paradox, this position is a natural position for him to have retreated to, when properly understood. (shrink)

Fictionalism in ontology is a mixed bag. Here I focus on three main variants—which I label after the names of Pascal, Berkeley, and Hume—and consider their relative strengths and weaknesses. The first variant is just a version of the epistemic Wager, applied across the board. The second variant builds instead on the fact that ordinary language is not ontologically transparent; we speak with the vulgar, but deep down we think with the learned. Finally, on the Humean variant it’s the structure (...) of the ontological inventory, not its content, that may turn out to involve fictional elements. That is, for the Humean the fiction lies, not in the reality of common-sense ontology, but in the laws—of unity, identity, causation, etc.—in terms of which we articulate our experience of that reality. In the end, this is the kind of fictionalism that I find most interesting, sensible, and tenable. And I argue that it is even compatible with the sort of “naive” realism we have all come to appreciate in the work of Paolo Bozzi, to whom the paper is dedicated. (shrink)

The thesis that rationality consists in the straight-forward maximization of utility has not lacked critics. Typically, however, detractors reject the Humean picture of rationality upon which it seems based; they seek to emancipate reason from the tyranny of the passions. It is, then, noteworthy when an attack on this thesis comes from ‘within the ranks.’David Gauthier's paper ‘Reason and Maximization’ is just such an attack; and for this reason, among others, it is interesting. It is not successful, though. In defense (...) of this conclusion, we shall begin by relating the essentials of Gauthier's argument. Then we shall examine in some detail Gauthier's claim that the principle of straighforward max-imization fails to be self-supporting. We shall argue that Gauthier's defense of this claim is at best incomplete. Finally, we shall show that the fact that a normative principle is self-subverting or non-self-supporting does not entail that the principle is defective. (shrink)

This paper offers an overview of consciousness and personal identity in eighteenth-century philosophy. Locke introduces the concept of persons as subjects of consciousness who also simultaneously recognize themselves as such subjects. Hume, however, argues that minds are nothing but bundles of perceptions, lacking intrinsic unity at a time or across time. Yet Hume thinks our emotional responses to one another mean that persons in everyday life are defined by their virtues, vices, bodily qualities, property, riches, and the like. Rousseau also (...) takes persons to be fundamentally determined by our socially-mediated emotional responses to one another, though unlike Hume or Locke, he has little interest in placing this account of persons alongside a larger discussion of the human mind and its operations. Developing this idea further, Kant argues that our moral commitments require that we must take ourselves to be free. The fundamental equality that Rousseau sought in the political order is, for Kant, a requirement that reason puts on all of us. (shrink)

William James' Radical Empiricist essays offer a unique and powerful argument for direct realism about our perceptions of objects. This theory can be completed with some observations by Kant on the intellectual preconditions for a perceptual judgment. Finally James and Kant deliver a powerful blow to the representational theory of perception and knowledge, which applies quite broadly to theories of representation generally.

CATEGORY: Philosophy play; historical fiction; comedy; social criticism. -/- STORYLINE: Katherine, a neurotic American lawyer, meets Christianus for a philosophy session at The Late Victorian coffee shop in London, where they also meet Wendy the waitress and Baldy the player. Will Katherine be able to overcome her deep depression by adopting some of Christianus’s satisfactionist ideas? Or will she stay unsatisfied and unhappy by stubbornly sticking to her own neti-neti nothingness philosophy? And what roles do Baldy, Wendy, and the Okefenokee (...) Man-Monster have in this connexion? -/- TOPICS: In the course of this philosophy play, Katherine and Christianus discuss many things: friendship, a Renoir painting, global warming, elephant conservation, freemasons, Prince of Wales and his tiger-hunting experience in Nepal, Victorian Chartism and a Kennington Common daguerreotype, a Mortality Proof, and, last but not least, Baldy, Wendy, and the gory plot of the Okefenokee Man-Monster. -/- NOTES: This work features elaborate footnotes and comments (including full bibliographical references) by the author, to enhance the reader's experience of the play and its philosophizing characters. (shrink)

We discuss the one–many problem as it appears in the Philebus and find that it is not restricted to the usually understood problem about the identity of universals across particulars that instantiate them (the Hylomorphic Dispersal Problem). In fact some of the most interesting aspects of the problem occur purely with respect to the relationship between Forms. We argue that contemporary metaphysicians may draw from the Philebus at least three different one–many relationships between universals themselves: instantiation, subkind and part, and (...) thereby construct three new ‘problems of the one and the many’ (an Eidetic Dispersal Problem, a Genus–Species Problem, and an Eidetic Combination Problem), which are as problematic as the version generally discussed. We then argue that this taxonomy sheds new and interesting light on certain discussions of higher-order universals in recent Australian analytic philosophy. (shrink)

CATEGORY: Philosophy play; historical fiction; comedy; social criticism. -/- STORYLINE: Tim, a physics professor with a certain taste for young female university students, recently got a new appointment at a London university. But, as it turns out, he is still unsatisfied. Why? Is it because Rachael unexpectedly left him under strange circumstances? Or does it have to do with his sudden departure from another university? Or is it his research? When Tim meets Christianus for a brown-bag discussion on philosophy and (...) science, new facts and perspectives are revealed. -/- TOPICS: In the course of the play, Tim and Christianus discuss different metaphysical, epistemological, and ontological ideas. Many of these are either related to isssues in the philosophy of science (explanation, methodology, scientific investigation, etc.), or to issues in human psychology and the philosophy of mind (the self vs. the mind, dualism, ‘Who am I?’, etc.). In one scene, for example, Tim tries to invoke ‘Ockham’s Razor’ (or ‘Occam’s Razor’) to quickly dismiss some of Christianus’s metaphysical ideas (see Scene VII: Ockham’s Raisin; Scene XIII: The Raisin Tale Revisited); in another scene, Christianus introduces his ‘Postman’ scenario, and the idea that successful (‘scientific’) prediction or forecasting is not necessarily a sure sign of true understanding (see Scene XV: The Postman Always Turns Twice). -/- NOTES: This work features elaborate footnotes and comments (including full bibliographical references) by the author, to enhance the reader's experience of the play and its philosophizing characters. (shrink)

What is data? That question is the fundamental investigation of this dissertation. I have developed a methodology from social-scientific processes to explore how different people understand the concept of data, rather than to rely on my own philosophical intuitions or thought experiments about the “nature” of data. The evidence I have gathered as to different individuals' constructions of data can be used to inform further inquiry of data and the design of information systems. My research demonstrates that people have different (...) constructions of data. The methodology of the SDFN, created for this dissertation, has proven able to probe those understandings. The SDFN, loosely based on a DFD and combined with ideas from SNA, provides a way of discovering practical definitions of hard-to-operationalize terms like data. The process of repeatedly categorizing various items as data allows the methodology to explore how participants actually use the term, rather than relying on theoretical dictionary-based definitions. Analysis of the interviews found three different constructions of data: data as communications, a container for meaning; data as subjective observations, sense-impressions filtered by knowledge; and data as objective facts, measurements revealing the relationships of reality. (shrink)

Background: Despite being often taken as the benchmark of quality for diagnostic and classificatory tools, 'validity' is admitted as a poorly worked out notion in psychiatric nosology. Objective: Here we aim at presenting a view that we believe to do better justice to the significance of the notion of validity, as well as at explaining away some misconceptions and inappropriate expectations regarding this attribute in the aforementioned context. Method: The notion of validity is addressed taking into account its role, the (...) framework according to which it should be assessed and the specific contents to which it refers within psychiatric nosology. Results and Conclusions: The notion of validity has an epistemological thrust and its foremost role is distinguishing correct reasoning and truth from what is irrational or false. From it follows not only that 'validity' always refers to elements of knowledge and rationality such as arguments, inferences and propositions, but also that the appropriate frameworks to assess 'validity' are logics and scientific methodology. When the validity of a psychiatric diagnostic category is at stake, the contents to which it refers are those relevantly related to the notion of 'diagnostic concept'. The consequences of our reading on the notion of 'validity' are discussed vis-à-vis the challenges faced by psychiatric nosology in order to have its diagnostic categories validated. (shrink)

There is a basic distinction, in the realm of spatial boundaries, between bona fide boundaries on the one hand, and fiat boundaries on the other. The former are just the physical boundaries of old. The latter are exemplified especially by boundaries induced through human demarcation, for example in the geographic domain. The classical problems connected with the notions of adjacency, contact, separation and division can be resolved in an intuitive way by recognizing this two-sorted ontology of boundaries. Bona fide boundaries (...) yield a notion of contact that is effectively modeled by classical topology; the analogue of contact involving fiat boundaries calls, however, for a different account, based on the intuition that fiat boundaries do not support the open/closed distinction on which classical topology is based. In the presence of this two-sorted ontology it then transpires that mereotopology—topology erected on a mereological basis—is more than a trivial formal variant of classical point-set topology. (shrink)

In this essay, I argue that an immortal existence could be desirable. Taking the accounts of Williams and Smuts under careful consideration, I agree with Fischer that an immortal existence could be gratifying. When Fischer argues that it is unfair for Williams to posit that an immortal life must have self-exhausting pleasures and, overall, a better experience than mortal life, he gets to the crux of the argument for immortality: as long as there are positive categorical desires for the individual, (...) then such life-affirming desires will provide an impetus to carry on. In moving past the Teiresias model of a phenomenon that retains memories while changing characters, I argue that a life of intellectual inquiry – which essentially alters the character of the individual while maintaining memories – offers an outward looking existence which provides internal pleasures. Accordingly, with the use of technology, computer simulations have the potential to provide pleasures and experiences that escape reality. In this sense, technology has the potential to supplement an immortal life. We cannot say whether there will be a pinnacle of such learning and pleasure which leads to decreasing returns, but it seems plausible that an immortal being who incorporates learning and pleasure that could potentially lead to innovation and discovery would seek to continue such intellectual inquiry and varied experiences until all learning potentials were exhausted. (shrink)

Dear Editor, in a previous paper we have tried to delve into what validity means in the context of psychiatric nosology, arguing for a pragmatic view of it. Here we want to briefly reassert the basic points of our analysis, make a few clarifications and address some issues raised by commentators.

This article discusses the adequacy of Rawls’ theory of justice as a tool for racial justice. It is argued that critics like Charles W Mills fail to appreciate both the insights and limits of the Rawlsian framework. The article has two main parts spread out over several different sections. The first is concerned with whether the Rawlsian framework suffices to prevent racial injustice. It is argued that there are reasons to doubt whether it does. The second part is concerned with (...) whether a Rawlsian framework has the resources to rectify past racial injustice. It is argued that it has more resources to do this than Mills allows. This second part of the article centers on two Rawlsian ideas: ideal theory and the fair equality of opportunity principle. It is argued that ideal theory is essential for the kind of rectificatory work that Mills wants nonideal theory to do, and that where there is a socioeconomic legacy of past injustice, it is hard to see how FEO could be implemented if it did no rectificatory work, a result which means that there is less need to turn to nonideal theory at all. (shrink)

We can see mereology as a theory of parthood and topology as a theory of wholeness. How can these be combined to obtain a unified theory of parts and wholes? This paper examines various non-equivalent ways of pursuing this task, with specific reference to its relevance to spatio-temporal reasoning. In particular, three main strategies are compared: (i) mereology and topology as two independent (though mutually related) chapters; (ii) mereology as a general theory subsuming topology; (iii) topology as a general theory (...) subsuming mereology. Some more speculative strategies and directions for further research are also considered. (shrink)

The concept of niche (setting, context, habitat, environment) has been little studied by ontologists, in spite of its wide application in a variety of disciplines from evolutionary biology to economics. What follows is a first formal theory of this concept, a theory of the relations between objects and their niches. The theory builds upon existing work on mereology, topology, and the theory of spatial location as tools of formal ontology. It will be illustrated above all by means of simple biological (...) examples, but the concept of niche should be understood as being, like concepts such as part, boundary, and location, a structural concept that is applicable in principle to a wide range of different domains. (shrink)

There are conflicting intuitions concerning the status of a boundary separating two adjacent entities (or two parts of the same entity). The boundary cannot belong to both things, for adjacency excludes overlap; and it cannot belong to neither, for nothing lies between two adjacent things. Yet how can the dilemma be avoided without assigning the boundary to one thing or the other at random? Some philosophers regard this as a reductio of the very notion of a boundary, which should accordingly (...) be treated a mere façon de parler. In this paper I resist this temptation and examine some ways of taking the puzzle at face value within a realist perspective—treating boundaries as ontologically on a par with (albeit parasitic upon) extended parts. (shrink)

Majority cycling and related social choice paradoxes are often thought to threaten the meaningfulness of democracy. But deliberation can prevent majority cycles – not by inducing unanimity, which is unrealistic, but by bringing preferences closer to single-peakedness. We present the first empirical test of this hypothesis, using data from Deliberative Polls. Comparing preferences before and after deliberation, we find increases in proximity to single-peakedness. The increases are greater for lower versus higher salience issues and for individuals who seem to have (...) deliberated more versus less effectively. They are not merely a byproduct of increased substantive agreement. Our results both refine and support the idea that deliberation, by increasing proximity to single-peakedness, provides an escape from the problem of majority cycling. (shrink)

Some have argued that the vagueness exhibited by geographic names and descriptions such as ‘Albuquerque’, ‘the Outback’, or ‘Mount Everest’ is ultimately ontological: these terms are vague because they refer to vague objects, objects with fuzzy boundaries. I take the opposite stand and hold the view that geographic vagueness is exclusively semantic, or conceptual at large. There is no such thing as a vague mountain. Rather, there are many things where we conceive a mountain to be, each with its precise (...) boundary, and when we say ‘Everest’ we are just being vague as to which thing we are referring to. This paper defends this view against some plausible objections. (shrink)

Many believe that the rational evaluation of actions depends on the rational evaluation of even basic desires. Hume, though, viewed desires as "original existences" which cannot be contrary to either truth or reason. Contemporary critics of Hume, including Norman, Brandt and Parfit, have sought a basis for the rational evaluation of desires that would deny some basic desires reason-giving force. I side with Hume against these modern critics. Hume's concept of rational evaluation is admittedly too narrow; even basic desires are, (...) despite their nonrepresentational nature, subject to rational evaluation. But this evaluation is not relevant to their tendency to generate reasons for action, and does not undermine the spirit of the Humean view of rational action. (shrink)

In previous work I have argued that talk about negative events should not be taken at face value: typically, what we are inclined to think of as a negative event (John’s failure to go jogging) is just an ordinary, positive event (his going to the movie instead); it is a positive event under a negative description. Here I consider more closely the difficulties that arise in those cases where no positive event seems available to do the job, as with putative (...) cases of causation by omission. In particular, I elaborate on Helen Beebee’s idea that not all causal explanations are reports of causation. When we mention John’s failure to turn off the gas as an explanans of why there was an explosion, we do not say what caused the explosion. We do not mention any of the relevant causes. We just remark that one sort of event that was supposed to occur, and whose occurrence would have prevented the explosion, did not in fact occur. (shrink)

One of the attractions of the Humean instrumentalist theory of practical rationality is that it appears to offer a special connection between an agent's reasons and her motivation. The assumption that Humeanism is able to assert a strong connection between reason and motivation has been challenged, most notably by Christine Korsgaard. She argues that Humeanism is not special in the connection it allows to motivation. On the contrary, Humean theories of practical rationality do connect reasons and motivation in a unique (...) and attractive way, though the nature of this connection has sometimes been misunderstood by both defenders and detractors of the theory. (shrink)

Neo-Humean instrumentalist theories of reasons for acting have been presented with a dilemma: either they are normatively trivial and, hence, inadequate as a normative theory or they covertly commit themselves to a noninstrumentalist normative principle. The claimed result is that no purely instrumentalist theory of reasons for acting can be normatively adequate. This dilemma dissolves when we understand what question neo-Humean instrumentalists are addressing. The dilemma presupposes that neo-Humeans are attempting to address the question of how to act, 'simpliciter'. Instead, (...) they are evaluating actions from the agent's normative perspective. (shrink)

That parthood is a transitive relation is among the most basic principles of classical mereology. Alas, it is also very controversial. In a recent paper, Ingvar Johansson has put forward a novel diagnosis of the problem, along with a corresponding solution. The diagnosis is on the right track, I argue, but the solution is misleading. And once the pieces are properly put together, we end up with a reinforcement of the standard defense of transitivity on behalf of classical mereology.

Are there any bona fide boundaries, i.e., boundaries that carve at the joints? Or is any boundary —hence any object—the result of a fiat articulation reflecting our cognitive biases and our so-cial practices and conventions? Does the choice between these two options amount to a choice between realism and wholesome relativism?

This paper explores the transformation of Twitter from the traditional developer based command and control into something strangely democratic: a social construction of utility, a twisting of this once unique service to serve the needs and desires, ever evolving, of its users. We explore changes in the social constructions of Twitter and use recent research in the Philosophy of Data to suggest potential explanations.

A 2012 review article for Metascience which explains Mach's realistic brand of empiricism, contrasting it with the common phenomenalist reading of Mach by John Blackmore in two recent books.

Current challenges in medical practice, research, and administration demand physicians who are familiar with bioethics, health law, and health economics. Curriculum directors at American Association of Medical Colleges-affiliated medical schools were sent confidential surveys requesting the number of required hours of the above subjects and the years in which they were taught, as well as instructor names. The number of relevant publications since 1990 for each named instructor was assessed by a PubMed search.In sum, teaching in all three subjects combined (...) comprises less than two percent of the total hours in the American medical curriculum, and most instructors have not recently published articles in the fields they teach. This suggests that medical schools should reevaluate their curricula and instructors in bioethics, health law, and health economics. (shrink)

Peter Simons has argued that the expression ‘the universe’ is not a genuine singular term: it can name neither a single, completely encompassing individual, nor a collection of individuals. (It is, rather, a semantically plural term standing equally for every existing object.) I offer reasons for resisting Simons’s arguments on both scores.

A lot of work in metaphysics relies on linguistic analysis and intuitions. Do we want to know what sort of things there are or could be? Then let’s see what sort of things there must be in order for what we truthfully say to be true. Do we want to see whether x is distinct from y? Then let’s see whether there is any statement that is true of x but not of y. And so on. In this paper I (...) argue that this way of proceeding is full of traps and is bound to be pretty useless unless we already have a good idea of what sort of things there are, and of how we are going to count them. (shrink)

A critical review of the main themes arising out of recent literature on the semantics of ordinary event talk. The material is organized in four sections: (i) the nature of events, with emphasis on the opposition between events as particulars and events as universals; (ii) identity and indeterminacy, with emphasis on the unifier/multiplier controversy; (iii) events and logical form, with emphasis on Davidson’s treatment of the form of action sentences; (iv) linguistic applications, with emphasis on issues concerning aspectual phenomena, the (...) telicity/atelicity distinction, the treatment of statives, and temporal quantification. (shrink)

Assuming that events form a genuine ontological category, shall we say that a good inventory of the world ought to include “negative” events—failures, omissions, things that didn’t happen—along with positive ones? I argue that we shouldn’t. Talk of non-occurring events is like talk of non-existing objects and should not be taken at face value. We often speak as though there were such things, but deep down we want our words to be interpreted in such a way as to avoid serious (...) ontological commitment. (shrink)

Certain commentators on Russell's “no class” theory, in which apparent reference to classes or sets is eliminated using higher-order quantification, including W. V. Quine and (recently) Scott Soames, have doubted its success, noting the obscurity of Russell’s understanding of so-called “propositional functions”. These critics allege that realist readings of propositional functions fail to avoid commitment to classes or sets (or something equally problematic), and that nominalist readings fail to meet the demands placed on classes by mathematics. I show that Russell (...) did thoroughly explore these issues, and had good reasons for rejecting accounts of propositional functions as extra-linguistic entities. I argue in favor of a reading taking propositional functions to be nothing over and above open formulas which addresses many such worries, and in particular, does not interpret Russell as reducing classes to language. (shrink)

Klein’s account of epistemic justification, infinitism, supplies a novel solution to the regress problem. We argue that concentrating on the normative aspect of justification exposes a number of unpalatable consequences for infinitism, all of which warrant rejecting the position. As an intermediary step, we develop a stronger version of the ‘finite minds’ objection.

During the coronavirus pandemic, communities have faced shortages of important healthcare resources such as COVID-19 vaccines, medical staff, ICU beds and ventilators. Public health officials in the U.S. have had to make decisions about two major issues: which infected patients should be treated first (triage), and which people who are at risk of infection should be inoculated first (vaccine distribution). Following Beauchamp and Childress’s principlism, adopted guidelines have tended to value both whole lives (survival to discharge) and life-years (survival for (...) years past discharge). This process of collective moral reasoning has revealed our common commitment to both Kantian and utilitarian principles. For Kant, respecting people’s rights entails that we ought to value whole lives equally. Therefore we ought to allocate resources so as to maximise the number of patients who survive to discharge. By contrast, the principle of utility has us maximise life-years so that people can satisfy more of their considered preferences. Although people are treated impartially in the utilitarian calculus, it does not recognise their equal worth. Subjecting Kantian ethics and utilitarianism to the process of reflective equilibrium lends support to the idea that we need a pluralistic approach that would accommodate our moral intuitions regarding both the equal value of whole lives and the additive value of life-years. (shrink)

This is a revised and extended version of the formal theory of holes outlined in the Appendix to the book "Holes and Other Superficialities". The first part summarizes the basic framework (ontology, mereology, topology, morphology). The second part emphasizes its relevance to spatial reasoning and to the semantics of spatial prepositions in natural language. In particular, I discuss the semantics of ‘in’ and provide an account of such fallacious arguments as “There is a hole in the sheet. The sheet is (...) in the drawer. Ergo *there is a hole in the drawer”. (shrink)

According to a popular line of reasoning, diachronic vagueness creates a problem for the endurantist conception of persistence. Some authors have replied that this line of reasoning is inconclusive, since the endurantist can subscribe to a principle of Diachronic Unrestricted Composition (DUC) that is perfectly parallel to the principle required by the perdurantist’s semantic account. I object that the endurantist should better avoid DUC. And I argue that even DUC, if accepted, would fail to provide the endurantist with the necessary (...) resources for explaining diachronic vagueness in familiar semantic terms. (shrink)

The paper investigates the link between the theory of modal occurrents (where individuals are allowed to stretch across possible worlds) and Lewis’s counterpart theory (where all individuals are world-bound but have counterparts in other worlds). First I show how to interpret modal talk extensionally within the theory of modal occurrents. Then I show that the assumption that worlds be pairwise discrete is all that is needed to reconstruct the bulk of counterpart theory (i.e., to define the concept of a counterpart (...) and to derive the standard postulates governing that concept) in terms of the theory of modal occurrents. Finally, I argue that this reconstruction allows us to view the indeterminacy of our modal intuitions as being part and parcel with the indeterminacy of our criteria for individuating modal occurrents, and that this indeterminacy is naturally explained in terms of linguistic (as opposed to ontic) vagueness. (shrink)

In their correspondence in 1902 and 1903, after discussing the Russell paradox, Russell and Frege discussed the paradox of propositions considered informally in Appendix B of Russell’s Principles of Mathematics. It seems that the proposition, p, stating the logical product of the class w, namely, the class of all propositions stating the logical product of a class they are not in, is in w if and only if it is not. Frege believed that this paradox was avoided within his philosophy (...) due to his distinction between sense (Sinn) and reference (Bedeutung). However, I show that while the paradox as Russell formulates it is ill-formed with Frege’s extant logical system, if Frege’s system is expanded to contain the commitments of his philosophy of language, an analogue of this paradox is formulable. This and other concerns in Fregean intensional logic are discussed, and it is discovered that Frege’s logical system, even without its naive class theory embodied in its infamous Basic Law V, leads to inconsistencies when the theory of sense and reference is axiomatized therein. (shrink)

The positions of Frege, Russell and Wittgenstein on the priority of complexes over (propositional) functions are sketched, challenging those who take the "judgment centered" aspects of the Tractatus to be inherited from Frege not Russell. Frege's views on the priority of judgments are problematic, and unlike Wittgenstein's. Russell's views on these matters, and their development, are discussed in detail, and shown to be more sophisticated than usually supposed. Certain misreadings of Russell, including those regarding the relationship between propositional functions and (...) universals, are exposed. Wittgenstein's and Russell's views on logical grammar are shown to be very similar. Russell's type theory does not countenance types of genuine entities nor metaphysical truths that cannot be put into words, contrary to conventional wisdom. I relate this to the debate over "inexpressible truths" in the Tractatus. I lastly comment on the changes to Russell's views brought about by Wittgenstein's influence. (shrink)

A plausible thought about vagueness is that it involves semantic incompleteness. To say that a predicate is vague is to say (at the very least) that its extension is incompletely specified. Where there is incomplete specification of extension there is indeterminacy, an indeterminacy between various ways in which the specification of the predicate might be completed or sharpened. In this paper we show that this idea is bound to founder by presenting an argument to the effect that there are vague (...) predicates which cannot be sharpened in such a way as to meet certain basic constraints (of penumbral connection and public accessibility) that must be imposed on the very notion of a sharpening. (shrink)

Sequel to Part I. In these articles, I describe Cantor’s power-class theorem, as well as a number of logical and philosophical paradoxes that stem from it, many of which were discovered or considered (implicitly or explicitly) in Bertrand Russell’s work. These include Russell’s paradox of the class of all classes not members of themselves, as well as others involving properties, propositions, descriptive senses, class-intensions and equivalence classes of coextensional properties. Part II addresses Russell’s own various attempts to solve these paradoxes, (...) including strategies that he considered and rejected (limitation of size, the zigzag theory, etc.), as well as his own final views whereupon many purported entities that, if reified, lead to these contradictions, must not be genuine entities, but ‘logical fictions’ or ‘logical constructions’ instead. (shrink)