There are at least two traditional conceptions of numerical degree of similarity. According to the first, the degree of dissimilarity between two particulars is their distance apart in a metric space. According to the second, the degree of similarity between two particulars is a function of the number of (sparse) properties they have in common and not in common. This paper argues that these two conceptions are logically independent, but philosophically inconsonant.

This paper considers whether an analogy between distance and dissimilarlity supports the thesis that degree of dissimilarity is distance in a metric space. A straightforward way to justify the thesis would be to define degree of dissimilarity as a function of number of properties in common and not in common. But, infamously, this approach has problems with infinity. An alternative approach would be to prove representation and uniqueness theorems, according to which if comparative dissimilarity meets certain qualitative conditions, then it (...) is representable by distance in a metric space. I will argue that this approach faces equally severe problems with infinity. (shrink)

It's often hypothesized that the structure of mental representation is map-like rather than language-like. The possibility arises as a counterexample to the argument from the best explanation of productivity and systematicity to the language of thought hypothesis—the hypothesis that mental structure is compositional and recursive. In this paper, I argue that the analogy with maps does not undermine the argument, because maps and language have the same kind of compositional and recursive structure.

Noniterative approaches to the sorites paradox accept single steps of soritical reasoning, but deny that these can be combined into valid chains of soritical reasoning. The distributed sorites is a puzzle designed to undermine noniterative approaches to the sorites paradox, by deriving an inconsistent conclusion using only single steps, but not chains, of soritical reasoning. This paper shows how a dialetheist version of the noniterative approach, the strict-tolerant approach, also solves the distributed sorites paradox, at no further cost, by accepting (...) the inconsistent conclusion. (shrink)

According to a traditional conception, romantic love is both constant - if someone loves another, they continue to love them - and exclusive - if someone loves another, they love only the other. In this paper, we argue that the essentiality of constancy and exclusivity is incompatible with the possibilities of fission - roughly speaking, of one person becoming two - and fusion - roughly speaking, of two people becoming one. Moreover, if fission or fusion are possible, then constancy and (...) exclusivity are obligatory features of love only if there are moral dilemmas. We conclude by suggesting this casts doubt on the constancy and especially the exclusivity of love. (shrink)

The interactive theorem prover Isabelle/HOL is used to verify elementary theorems of classical extensional mereology.

This paper argues: (1) All knowledge from fiction is from imagination (2) All knowledge from imagination is modal knowledge (3) So, all knowledge from fiction is modal knowledge Moreover, some knowledge is from fiction, so (1)-(3) are non-vacuously true.

By defining both depictive and linguistic representation as kinds of symbol system, Nelson Goodman attempts to undermine the platitude that, whereas linguistic representation is mediated by convention, depiction is mediated by resemblance. I argue that Goodman is right to draw a strong analogy between the two kinds of representation, but wrong to draw the counterintuitive conclusion that depiction is not mediated by resemblance.

Suppose that some contradictions are true – for example, that as I walk through the door, I’m inside and I’m not inside. Then we argue 'if I'm walking through the door, I'm inside; I'm not inside; therefore, I'm not walking through the door' is an invalid instance of modus tollens.

It's possible to understand an infinite number of novel maps. I argue that Roberto Casati and Achille Varzi's compositional semantics of maps cannot explain this possibility, because it requires an infinite number of semantic primitives. So the semantics of maps is puzzlingly different from the semantics of language.

Take a strip of paper with 'once upon a time there'‚ written on one side and 'was a story that began'‚ on the other. Twisting the paper and joining the ends produces John Barth’s story Frame-Tale, which prefixes 'once upon a time there was a story that began'‚ to itself. I argue that the ability to understand this sentence cannot be explained by tacit knowledge of a recursive theory of truth in English.

In this paper I argue that the analysis of natural properties as convex subsets of a metric space in which the distances are degrees of dissimilarity is incompatible with both the definition of degree of dissimilarity as number of natural properties not in common and the definition of degree of dissimilarity as proportion of natural properties not in common, since in combination with either of these definitions it entails that every property is a natural property, which is absurd. I suggest (...) it follows that we should think of the convex class analysis of natural properties as a variety of resemblance nominalism. (shrink)

Paul Oppenheimer and Edward Zalta's formalisation of Anselm's ontological argument for the existence of God is automated by embedding a free logic for definite descriptions within Isabelle/HOL.

This paper argues for a possible worlds theory of the content of pictures, with three complications: depictive content is centred, two-dimensional and structured. The paper argues that this theory supports a strong analogy between depictive and other kinds of representation and the platitude that depiction is mediated by resemblance.

It is a platitude that whereas language is mediated by convention, depiction is mediated by resemblance. But this platitude may be attacked on the grounds that resemblance is either insufficient for or incidental to depictive representation. I defend common sense from this attack by using Grice's analysis of meaning to specify the non-incidental role of resemblance in depictive representation.

The shortest stories are zero words long. There is no maximum length.

This is an introduction to the Isabelle proof assistant aimed at philosophers and their students.

The possibilities of depicting non-existents, depicting non-particulars and depictive misrepresentation are frequently cited as grounds for denying the platitude that depiction is mediated by resemblance. I first argue that these problems are really a manifestation of the more general problem of intentionality. I then show how there is a plausible solution to the general problem of intentionality which is consonant with the platitude.

Physicalism is incompatible with what is known as the possibility of zombies, that is, the possibility of a world physically like ours, but in which there are no conscious experiences. But it is compatible with what is known as the possibility of ghosts, that is, the possibility of a world which is physically like ours, but in which there are additional nonphysical entities. In this paper we argue that a revision to the traditional definition of physicalism designed to accommodate the (...) possibility of ghosts inadvertently accommodates what is known as the possibility of inverted spectra, that is, the possibility of a world which is physically like ours, but in which colour experience is inverted. This consequence is unwelcome, because it is widely agreed that the possibility of inverted spectra is incompatible with physicalism. We argue for a revised definition of physicalism which resolves this problem. We then use our definition to argue that physicalism is not compatible with what is known as the possibility of blockers, that is, the possibility of a world which is physically like ours, but in which additional nonphysical entities have prevented the existence of conscious experience. This undermines Stephan Leuenberger's attempt to defend physicalism from arguments which purport to establish the possibility of zombies. (shrink)

According to dialetheism, some contradictions are true. In a recent paper, Aaron Cotnoir has suggested that theists who are also dialetheists can resolve the paradox of the stone by accepting a contradiction, and arguing that God both can and can't make the stone. However, Zach Weber has replied that dialetheism is no help for avoiding one of the most serious problems for theism, namely the problem of evil. In this paper, I argue the situation is even worse than this for (...) dialetheist theists, since one motivation for dialetheism closes off what otherwise might be a loophole in a classic version of the problem of evil. (shrink)

The number of bricks in a ziggurat is a sum of consecutive squares.

Traditionally, the structure of a language is revealed by constructing an appropriate theory of meaning for that language, which exhibits how – and whether – the meaning of sentences in the language depends upon the meaning of their parts. In this paper, I argue that whether – and how – what pictures represent depends on what their parts represent should likewise by revealed by the construction of appropriate theories of representation for the symbol system of those pictures. This generalisation, I (...) argue, reveals a much cited disanalogy between depiction and description is illusory: the structure of pictures, like language, is compositional. (shrink)

It’s a platitude that a picture is realistic to the degree to which it resembles what it represents (in relevant respects). But if properties are abundant and degrees of resemblance are proportions of properties in common, then the degree of resemblance between different particulars is constant (or undefined), which is inconsonant with the platitude. This paper argues this problem should be resolved by revising the analysis of degrees of resemblance in terms of proportion of properties in common, and not by (...) accepting a sparse theory of properties or by denying that degree of realism is degree of resemblance (in relevant respects). (shrink)

Not every metaphor can be literally paraphrased by a corresponding simile – the metaphorical meaning of ‘Juliet is the sun’, for example, is not the literal meaning of ‘Juliet is like the sun’. But every metaphor can be literally paraphrased, since if ‘metaphorically’ is prefixed to a metaphor, the result says literally what the metaphor says figuratively – the metaphorical meaning of ‘Juliet is the sun’, for example, is the literal meaning of ‘metaphorically, Juliet is the sun’.

Just as it’s possible to understand novel sentences without having heard them before, it’s possible to understand novel pictures without having seen them before. But these possibilities are often supposed to have totally different explanations: whereas the ability to understand novel sentences is supposed to be explained by tacit knowledge of a compositional theory of meaning for their language, the ability to understand novel pictures is supposed to be explained differently. In this paper I argue against this disanalogy: insofar as (...) the ability to understand novel sentences is explained by tacit knowledge of a compositional theory, I argue, so is the ability to understand novel pictures. (shrink)

This paper argues against definitions of depiction in terms of the syntactic and semantic properties of symbol systems. In particular, it is argued that John Kulvicki's definition of depictive symbol systems in terms of relative repleteness, semantic richness, syntactic sensitivity and transparency is susceptible to similar counterexamples as Nelson Goodman's in terms of syntactic density, semantic density and relative repleteness. The general moral drawn is that defining depiction requires attention not merely to descriptive questions about syntax and semantics, but also (...) to foundational questions about what makes it the case that depictions have the syntactic and semantic properties they do. (shrink)

A. J. Ayer’s empiricist criterion of meaning was supposed to have sorted all statements into nonsense on the one hand, and tautologies or genuinely factual statements on the other. Unfortunately for Ayer, it follows from classical logic that his criterion is trivial—it classifies all statements as either tautologies or genuinely factual, but none as nonsense. However, in this paper, I argue that Ayer’s criterion of meaning can be defended from classical proofs of its triviality by the adoption of a relevant (...) logic—an idea which is motivated because, according to Ayer, the genuinely factual statements are those which observation is relevant to. (shrink)

According to Satosi Watanabe's "theorem of the ugly duckling", the number of predicates satisfied by any two different particulars is a constant, which does not depend on the choice of the two particulars. If the number of predicates satisfied by two particulars is their number of properties in common, and the degree of resemblance between two particulars is a function of their number of properties in common, then it follows that the degree of resemblance between any two different particulars is (...) also constant, which is absurd. Avoiding this absurd conclusion requires questioning assumptions about infinity in the proof or interpretation of the theorem, adopting a sparse conception of properties, or denying degree of resemblance is a function of number of properties in common. After arguing against both the first two options, this paper argues for a version of the third which analyses degree of resemblance as a function of properties in common, but weighted by their degree of naturalness or importance. (shrink)

If two self-connected individuals are connected, it follows in classical extensional mereotopology that the sum of those individuals is self-connected too. Since mainland Europe and mainland Asia, for example, are both self-connected and connected to each other, mainland Eurasia is also self-connected. In contrast, in non-extensional mereotopologies, two individuals may have more than one sum, in which case it does not follow from their being self-connected and connected that the sum of those individuals is self-connected too. Nevertheless, one would still (...) expect it to follow that a sum of connected self-connected individuals is self-connected too. In this paper, we present some surprising countermodels which show that this conjecture is incorrect. (shrink)

According to Whitehead’s rectified principle, two individuals are connected just in case there is something self-connected which overlaps both of them, and every part of which overlaps one of them. Roberto Casati and Achille Varzi have offered a counterexample to the principle, consisting of an individual which has no self-connected parts. But since atoms are self-connected, Casati and Varzi’s counterexample presupposes the possibility of gunk or, in other words, things which have no atoms as parts. So one may still wonder (...) whether Whitehead’s rectified principle follows from the assumption of atomism. This paper presents an atomic countermodel to show the answer is no. (shrink)

Review of A Syncretistic Theory of Depiction by Alberto Voltolini.

Australasian Journal of Philosophy, Volume 90, Issue 1, Page 187-189, March 2012.

Philosophers of logic are particularly interested in understanding the aims, epistemology, and methodology of logic. This raises the question of how the philosophy of logic should go about these enquires. According to the practice-based approach, the most reliable method we have to investigate the methodology and epistemology of a research field is by considering in detail the activities of its practitioners. This holds just as true for logic as it does for the recognised empirical and abstract sciences. If we wish (...) to systematically understand the aims and epistemology of logic, we are best placed achieving this by looking at what logicians do, rather than reflecting upon the nature of logic itself. In this entry, we outline the motivations for a practice-based approach towards the philosophy of logic and highlight its advantages over more “top-down” approaches, which attempt to infer conclusions about the nature of logic and its methodology on the basis of traditional assumptions about knowledge, metaphysics, or logic itself. We end by addressing several prominent concerns raised against the practice-based approach. (shrink)

The philosophical study of well-being concerns what makes lives good for their subjects. It is now standard among philosophers to distinguish between two kinds of well-being: - lifetime well-being, i.e., how good a person's life was for him or her considered as a whole, and - temporal well-being, i.e., how well off someone was, or how they fared, at a particular moment in time or over a period of time longer than a moment but shorter than a whole life, say, (...) a day, month, year, or chapter of a life. Many theories have been offered of each of these kinds of well-being. A common view is that lifetime well-being is in some way constructed out of temporal well-being. This book argues that much of this literature is premised on a mistake. Lifetime well-being cannot be constructed out of temporal well-being, because there is no such thing as temporal well-being. The only genuine kind of well-being is lifetime well-being. The Passing of Temporal Well-Being will prove essential reading for professional philosophers, especially in moral and political philosophy. It will also be of interest to welfare economists and policy-makers who appeal to well-being. (shrink)

According to hedonism about well-being, lives can go well or poorly for us just in virtue of our ability to feel pleasure and pain. Hedonism has had many advocates historically, but has relatively few nowadays. This is mainly due to three highly influential objections to it: The Philosophy of Swine, The Experience Machine, and The Resonance Constraint. In this paper, I attempt to revive hedonism. I begin by giving a precise new definition of it. I then argue that the right (...) motivation for it is the ‘experience requirement’ (i.e., that something can benefit or harm a being only if it affects the phenomenology of her experiences in some way). Next, I argue that hedonists should accept a felt-quality theory of pleasure, rather than an attitude-based theory. Finally, I offer new responses to the three objections. Central to my responses are (i) a distinction between experiencing a pleasure (i.e., having some pleasurable phenomenology) and being aware of that pleasure, and (ii) an emphasis on diversity in one’s pleasures. (shrink)

This paper defends the view, put roughly, that to think that p is to guess that p is the answer to the question at hand, and that to think that p rationally is for one’s guess to that question to be in a certain sense non-arbitrary. Some theses that will be argued for along the way include: that thinking is question-sensitive and, correspondingly, that ‘thinks’ is context-sensitive; that it can be rational to think that p while having arbitrarily low credence (...) that p; that, nonetheless, rational thinking is closed under entailment; that thinking does not supervene on credence; and that in many cases what one thinks on certain matters is, in a very literal sense, a choice. Finally, since there are strong reasons to believe that thinking just is believing, there are strong reasons to think that all this goes for belief as well. (shrink)

What is it for a life to be meaningful? In this article, I defend what I call Consequentialism about Meaning in Life, the view that one's life is meaningful at time t just in case one's surviving at t would be good in some way, and one's life was meaningful considered as a whole just in case the world was made better in some way for one's having existed.

Adaptive preference formation is the unconscious altering of our preferences in light of the options we have available. Jon Elster has argued that this is bad because it undermines our autonomy. I agree, but think that Elster's explanation of why is lacking. So, I draw on a richer account of autonomy to give the following answer. Preferences formed through adaptation are characterized by covert influence (that is, explanations of which an agent herself is necessarily unaware), and covert influence undermines our (...) autonomy because it undermines the extent to which an agent's preferences are ones that she has decided upon for herself. This answer fills the lacuna in Elster's argument. It also allows us to draw a principled distinction between adaptive preference formation and the closely related phenomenon of character planning. (shrink)

I argue that we can visually perceive others as seeing agents. I start by characterizing perceptual processes as those that are causally controlled by proximal stimuli. I then distinguish between various forms of visual perspective-taking, before presenting evidence that most of them come in perceptual varieties. In doing so, I clarify and defend the view that some forms of visual perspective-taking are “automatic”—a view that has been marshalled in support of dual-process accounts of mindreading.

There is significant controversy over whether patients have a ‘right not to know’ information relevant to their health. Some arguments for limiting such a right appeal to potential burdens on others that a patient’s avoidable ignorance might generate. This paper develops this argument by extending it to cases where refusal of relevant information may generate greater demands on a publicly funded healthcare system. In such cases, patients may have an ‘obligation to know’. However, we cannot infer from the fact that (...) a patient has an obligation to know that she does not also have a right not to know. The right not to know is held against medical professionals at a formal institutional level. We have reason to protect patients’ control over the information that they receive, even if in individual instances patients exercise this control in ways that violate obligations. (shrink)

A clear and provocative introduction to the ethics of COVID-19, suitable for university-level students, academics, and policymakers, as well as the general reader. It is also an original contribution to the emerging literature on this important topic. The author has made it available Open Access, so that it can be downloaded and read for free by all those who are interested in these issues. Key features include: -/- A neat organisation of the ethical issues raised by the pandemic. An exploration (...) of the many complex interconnections between these issues. A succinct case for a continued lockdown until we develop a vaccine. An original account of the Deep Moral Problem of the Pandemic, and a Revolutionary Argument for how we should change society post-pandemic. References to, and engagement with, many of the best writings on the pandemic so far (both in popular media and academic journals). -/- ISBN: 978-0-6489016-0-0. (shrink)

In this paper, I set out and defend a new theory of value, whole-life welfarism. According to this theory, something is good only if it makes somebody better off in some way in his life considered as a whole. By focusing on lifetime, rather than momentary, well-being, a welfarist can solve two of the most vexing puzzles in value theory, The Badness of Death and The Problem of Additive Aggregation.

In this paper, I reconstruct Robert Nozick's experience machine objection to hedonism about well-being. I then explain and briefly discuss the most important recent criticisms that have been made of it. Finally, I question the conventional wisdom that the experience machine, while it neatly disposes of hedonism, poses no problem for desire-based theories of well-being.

The historical consensus is that logical evidence is special. Whereas empirical evidence is used to support theories within both the natural and social sciences, logic answers solely to a priori evidence. Further, unlike other areas of research that rely upon a priori evidence, such as mathematics, logical evidence is basic. While we can assume the validity of certain inferences in order to establish truths within mathematics and test scientifi c theories, logicians cannot use results from mathematics or the empirical sciences (...) without seemingly begging the question. Appeals to rational intuition and analyticity in order to account for logical knowledge are symptomatic of these commitments to the apriority and basicness of logical evidence. This chapter argues that these historically prevalent accounts of logical evidence are mistaken, and that if we take logical practice seriously we fi nd that logical evidence is rather unexceptional, sharing many similarities to the types of evidence appealed to within other research areas. (shrink)

In this critique of longtermism, I attack its Heart, the idea that there is intrinsic value in the addition of each new happy being to the world. I provide new responses to longtermists' two main arguments for the Heart (The Argument from Extinction and The Argument from Miserable Beings). I then sketch an alternative view to longtermism, which I call Future Sentimentalism, a view that does a better job of explaining our future-regarding reasons. Finally, I consider an important objection to (...) my critique. (shrink)

According to attitudinal theories of pleasure and pain, what makes a given sensation count as a pleasure or a pain is just the attitudes of the experiencing agent toward it. In a previous article, I objected to such theories on the grounds that they cannot account for pleasures and pains whose subjects are entirely unaware of them at the time of experience. Recently, Chris Heathwood and Fred Feldman, the two leading contemporary defenders of attitudinal theories, have responded to this objection, (...) in very different ways. In this paper, I reconstruct and evaluate these responses. My conclusion is that neither response succeeds. (shrink)

The idea of using responsibility in the allocation of healthcare resources has been criticized for, among other things, too readily abandoning people who are responsible for being very badly off. One response to this problem is that while responsibility can play a role in resource allocation, it cannot do so if it will leave those who are responsible below a “sufficiency” threshold. This paper considers first whether a view can be both distinctively sufficientarian and allow responsibility to play a role (...) even for those who will be left with very poor health. It then draws several further distinctions that may affect the application of responsibility at this level. We conclude that a more plausible version of the sufficientarian view is to allow a role for responsibility where failure to do so will leave someone else who is not responsible below the sufficiency threshold. However, we suggest that individuals must exhibit “sufficient responsibility” in order for this to apply, involving both a sufficient level of control and an avoidable failure to respond adequately to reasons for action. (shrink)

Greg Bognar has recently offered a prioritarian justification for ‘fair innings’ distributive principles that would ration access to healthcare on the basis of patients' age. In this article, I agree that Bognar's principle is among the strongest arguments for age-based rationing. However, I argue that this position is incomplete because of the possibility of ‘time-relative' egalitarian principles that could complement the kind of lifetime egalitarianism that Bognar adopts. After outlining Bognar's position, and explaining the attraction of time-relative egalitarianism, I suggest (...) various ways in which these two kinds of principle could interact. Since various options have very different implications for age-based rationing, proponents of such a rationing scheme must take a position on time-relative egalitarianism to complement a lifetime prioritarian view like Bognar's. (shrink)

Healthcare practitioners have access to a range of ethical guidance. However, the normative role of this guidance in ethical decision-making is underexplored. This paper considers two ways that healthcare practitioners could approach ethics guidance. We first outline the idea of deference to ethics guidance, showing how an attitude of deference raises three key problems: moral value; moral understanding; and moral error. Drawing on philosophical literature, we then advocate an alternative framing of ethics guidance as a form of moral testimony by (...) colleagues and suggest that a more promising attitude to ethics guidance is to approach it in the spirit of ‘critical engagement’ rather than deference. (shrink)