BackgroundHealthcare providers have to make ethically complex clinical decisions which may be a source of stress. Researchers have recently introduced Artificial Intelligence (AI)-based applications to assist in clinical ethical decision-making. However, the use of such tools is controversial. This review aims to provide a comprehensive overview of the reasons given in the academic literature for and against their use.MethodsPubMed, Web of Science, Philpapers.org and Google Scholar were searched for all relevant publications. The resulting set of publications was title and abstract (...) screened according to defined inclusion and exclusion criteria, resulting in 44 papers whose full texts were analysed using the Kuckartz method of qualitative text analysis.ResultsArtificial Intelligence might increase patient autonomy by improving the accuracy of predictions and allowing patients to receive their preferred treatment. It is thought to increase beneficence by providing reliable information, thereby, supporting surrogate decision-making. Some authors fear that reducing ethical decision-making to statistical correlations may limit autonomy. Others argue that AI may not be able to replicate the process of ethical deliberation because it lacks human characteristics. Concerns have been raised about issues of justice, as AI may replicate existing biases in the decision-making process.ConclusionsThe prospective benefits of using AI in clinical ethical decision-making are manifold, but its development and use should be undertaken carefully to avoid ethical pitfalls. Several issues that are central to the discussion of Clinical Decision Support Systems, such as justice, explicability or human–machine interaction, have been neglected in the debate on AI for clinical ethics so far.Trial registrationThis review is registered at Open Science Framework (https://osf.io/wvcs9). (shrink)

Informed consent in surgical settings requires not only the accurate communication of medical information but also the establishment of trust through empathic engagement. The use of large language models (LLMs) offers a novel opportunity to enhance the informed consent process by combining advanced information retrieval capabilities with simulated emotional responsiveness. However, the ethical implications of simulated empathy raise concerns about patient autonomy, trust and transparency. This paper examines the challenges of surgical informed consent, the potential benefits and limitations of digital (...) tools such as LLMs and the ethical implications of simulated empathy. We distinguish between active empathy, which carries the risk of creating a misleading illusion of emotional connection and passive empathy, which focuses on recognising and signalling patient distress cues, such as fear or uncertainty, rather than attempting to simulate genuine empathy. We argue that LLMs should be limited to the latter, recognising and signalling patient distress cues and alerting healthcare providers to patient anxiety. This approach preserves the authenticity of human empathy while leveraging the analytical strengths of LLMs to assist surgeons in addressing patient concerns. This paper highlights how LLMs can ethically enhance the informed consent process without undermining the relational integrity essential to patient-centred care. By maintaining transparency and respecting the irreplaceable role of human empathy, LLMs can serve as valuable tools to support, rather than replace, the relational trust essential to informed consent. (shrink)

A modest proposal concerning laws, counterfactuals, and explanations - - Why be Humean? -- Suggestions from physics for deep metaphysics -- On the passing of time -- Causation, counterfactuals, and the third factor -- The whole ball of wax -- Epilogue : a remark on the method of metaphysics.

Philosophy and model theory frequently meet one another. Philosophy and Model Theory aims to understand their interactions -/- Model theory is used in every ‘theoretical’ branch of analytic philosophy: in philosophy of mathematics, in philosophy of science, in philosophy of language, in philosophical logic, and in metaphysics. But these wide-ranging appeals to model theory have created a highly fragmented literature. On the one hand, many philosophically significant mathematical results are found only in mathematics textbooks: these are aimed squarely at mathematicians; (...) they typically presuppose that the reader has a significant background in mathematics; and little clue is given as to their philosophical significance. On the other hand, the philosophical applications of these results are then scattered across disconnected pockets of papers, separated by decades or more. -/- The first aim of Philosophy and Model Theory, then, is to consider the philosophical uses of model theory. On a technical level, we try to show how philosophically significant results connect to one another, and also to state the best version of a result for philosophical purposes. On a philosophical level, we show how similar dialectical situations arise repeatedly, across fragmented debates in varied philosophical areas. -/- The second aim of Philosophy and Model Theory, though, is to consider the philosophy of model theory. Model theory itself is rarely taken as the subject matter of philosophising (contrast this, say, with the philosophy of biology, or the philosophy of set theory). But model theory is a beautiful part of pure mathematics, and worthy of philosophical study in its own right. (shrink)

Many philosophers are impressed by the progress achieved by physical sciences. This has had an especially deep effect on their ontological views: it has made many of them physicalists. Physicalists believe that everything is physical: more precisely, that all entities, properties, relations, and facts are those which are studied by physics or other physical sciences. They may not all agree with the spirit of Rutherford's quoted remark that 'there is physics; and there is stamp-collecting',' but they all grant physical science (...) a unique ontological authority: the authority to tell us what there is. Physicalism is now almost orthodox in much philosophy, notably in much recent philosophy of mind. But although often invoked, it is rarely explicitly defined. It should be. The claim that everything is physical is not as clear as it seems. In this paper, we examine a number of proposed definitions of physicalism and reasons for being a physicalist. We will argue both that physicalism lacks a clear and credible definition, and that in no non-vacuous interpretation is it true. We are concerned here only with physicalism as a doctrine about the empirical world. In particular, it should not be confused with nominalism, the doctrine that there are no universals.2 Nominalism and physicalism are quite independent doctrines. Believers in universals may as consistently assert as deny that the only properties and relations are those studied by physical science. And nominalists may with equal consistency assert or deny that physical science could provide enough predicates to describe the world. That is the question which concerns physicalists, not whether physical predicates name real universals. (We will for brevity write as if they do, but we do not need that assumption.). (shrink)

Some have claimed that people with very different beliefs literally see the world differently. Thus Thomas Kuhn: ‘what a man sees depends both upon what he looks at and also upon what his previous visual—conceptual experience has taught him to see’ (Kuhn 1970, p. ll3). This view — call it ‘Perceptual Relativism’ — entails that a scientist and a child may look at a cathode ray tube and, in a sense, the first will see it while the second won’t. The (...) claim is not, of course, that the child’s experience is ‘empty’; but that, unlike the scientist, it does not see the tube as a cathode ray tube. One way of supporting this claim is to say that one cannot see something as an F unless one has the concept F. Since the child plainly lacks the concept of a cathode ray tube, it cannot see it as a cathode ray tube. Although Perceptual Relativism is hard to believe, this supporting suggestion is not so implausible. After all, when we see (and more generally, perceive) the world, the world is presented to us in a particular way; so how can we see it as being that way unless we have some idea or conception of the way it is presented? We need not be committed to a representative theory of perception to think that perceptions in some sense represent the world. We can express this by saying that perceptions have content. Now it is a commonplace that the contents of beliefs and the other propositional attitudes involve concepts. The belief that this thing is a cathode ray tube involves, in some sense, the concept cathode ray tube. So the line of thought behind Perceptual Relativism may be expressed thus: seeing an F as an F is a state with content. (shrink)

Elements of Mind (EM) has two themes, one major and one minor. The major theme is intentionality, the mind’s direction upon its objects; the other is the mind–body problem. I treat these themes separately: chapters 1, and 3–5 are concerned with intentionality, while chapter 2 is about the mind–body problem. In this summary I will first describe my view of the mind–body problem, and then describe the book’s main theme. Like many philosophers, I see the mind–body problem as containing two (...) sub–problems: the problem of mental causation and the problem of consciousness. I see these problems forming the two horns of a dilemma. Just as the problem of mental causation pushes us towards physicalism, so the problem of consciousness pushes us away from it. Each problem reveals the inadequacy of the solution to the other. Essentially the problem of mental causation is the conflict between (i) the apparent fact that mental states and events have effects in the physical world and (ii) a general principle about the causal nature of the physical world, which is sometimes called the ‘causal closure’ or the ‘causal completeness’ of the physical world. This principle says that all physical effects have physical causes which are enough to bring them about. The problem then is simple: how can a mental cause have a physical effect if that effect also has a physical cause which is enough to bring it about? Barring massive overdetermination of our actions by independent causes, it seems that the best answer is to identify the mental and the physical causes. And this is traditionally how physicalists have argued for their identity theory of mind and body. However, many physicalists reject the identity theory, and therefore they have to solve the mental causation problem in some other way. At present, there is no consensus among physicalists on which of the currently proposed solutions is correct. In chapter 2 of EM I propose an alternative, which I call ‘emergentism’. Inspired by the rejection of the identity theory, Emergentism is the idea that mental properties are genu.. (shrink)

Newcomers to the philosophy of mind are sometimes resistant to the idea that pain is a mental state. If asked to defend their view, they might say something like this: pain is a physical state, it is a state of the body. A pain in one’s leg feels to be in the leg, not ‘in the mind’. After all, sometimes people distinguish pain which is ‘all in the mind’ from a genuine pain, sometimes because the second is ‘physical’ while the (...) first is not. And we also occasionally distinguish mental pain (which is normally understood as some kind of emotional distress) from the ‘physical pain’ one feels in one’s body. So what can be meant by saying that pain is a mental state? Of course, it only takes a little reflection shows that this naive view is mistaken. Pain is a state of consciousness, or an event in consciousness, and whether or not all states of mind are conscious, it is indisputable that only minds, or states of mind, are conscious.2 But does the naive view tell us anything about the concept of pain, or the concept of mind? I think it does. In this paper, I shall give reasons for thinking that consciousness is a form of intentionality, the mind’s ‘direction upon its objects’. I shall claim that the consciousness involved in bodily sensations like pain is constituted by the mind’s direction upon the part or region of the body where the sensation feels to be. Given this, it is less surprising that the naive view of pain says what it does: the apparent ‘physicality’ of pain is a consequence of confusing the object of the intentional state—the part of the body in which the pain is felt—with the state of being in pain. (shrink)

This book on the philosophy of science argues for an empiricism, opposed to the tradition of David Hume, in which singular rather than general causal claims are primary; causal laws express facts about singular causes whereas the general causal claims of science are ascriptions of capacities or causal powers, capacities to make things happen. Taking science as measurement, Cartwright argues that capacities are necessary for science and that these can be measured, provided suitable conditions are met. There are case studies (...) from both econometrics and quantum mechanics. (shrink)

The aim of this essay is to distinguish and analyze several difficulties confronting attempts to reconcile the fundamental quantum mechanical dynamics with Born''s rule. It is shown that many of the proposed accounts of measurement fail at least one of the problems. In particular, only collapse theories and hidden variables theories have a chance of succeeding, and, of the latter, the modal interpretations fail. Any real solution demands new physics.

This paper sketches a taxonomy of forms of substantivalism and relationism concerning space and time, and of the traditional arguments for these positions. Several natural sorts of relationism are able to account for Newton's bucket experiment. Conversely, appropriately constructed substantivalism can survive Leibniz's critique, a fact which has been obscured by the conflation of two of Leibniz's arguments. The form of relationism appropriate to the Special Theory of Relativity is also able to evade the problems raised by Field. I survey (...) the effect of the General Theory of Relativity and of plenism on these considerations. (shrink)

Some machine learning models, in particular deep neural networks (DNNs), are not very well understood; nevertheless, they are frequently used in science. Does this lack of understanding pose a problem for using DNNs to understand empirical phenomena? Emily Sullivan has recently argued that understanding with DNNs is not limited by our lack of understanding of DNNs themselves. In the present paper, we will argue, _contra_ Sullivan, that our current lack of understanding of DNNs does limit our ability to understand with (...) DNNs. Sullivan’s claim hinges on which notion of understanding is at play. If we employ a weak notion of understanding, then her claim is tenable, but rather weak. If, however, we employ a strong notion of understanding, particularly explanatory understanding, then her claim is not tenable. (shrink)

If you stare for a period of time at a scene which contains movement in one direction, and then turn your attention to an object in a scene which contains no movement, this object will appear to move in the opposite direction to that of the original movement. The effect can be easily achieved by attaching a piece of paper with a spiral drawn on it to the spinning turntable of a record player, and then turning the turntable off while (...) continuing to look at the spiral (see Frisby 1979, pp. 100-101 for a detailed descrip- tion of how to bring this about). But the illusion of movement can also occur when looking at a waterfall, for instance, and turning one's attention away from the waterfall to a stationary object such as a stone; hence its name - the 'Waterfall Illusion'. (shrink)

This edition has been fully revised and updated, and includes a new chapter on consciousness and a new section on modularity. There are also guides for further reading, and a new glossary of terms such as mentalese, connectionism, and the homunculus fallacy.

This paper is about a puzzle which lies at the heart of contemporary physicalist theories of mind. On the one hand, the original motivation for physicalism was the need to explain the place of mental causation in the physical world. On the other hand, physicalists have recently come to see the explanation of mental causation as one of their major problems. But how can this be? How can it be that physicalist theories still have a problem explaining something which their (...) physicalism was intended to explain in the first place? If physicalism is meant to be an explanation of mental causation, then why should it still face the problem of mental causation? (shrink)

This essay is the first act of a two-act play. My ultimate aim is to defend a simple proposition: time passes. To be more precise, I want to defend the claim that the passage of time is an intrinsic asymmetry in the structure of space-time itself, an asymmetry that has no spatial counterpart and is metaphysically independent of the material contents of space-time. It is independent, for example, of the entropy gradient of the universe. This view is part of common-sense, (...) but has been widely attacked by philosophers. The passage of time, we are told, is a myth, an illusion, even an incoherent notion. Because the notion that time passes is common sense, it perhaps requires little positive defence; if there are no weighty objections to the view, it ought to be accepted. So the first, and more important, act of the play is defusing the arguments which have been used to cast doubt on the passage of time. I have positive arguments to give, but not having space for them here, I will confine myself to an examination of the common philosophical arguments that have been used to cast doubt on the passage of time. (shrink)

Sense-perception—the awareness or apprehension of things by sight, hearing, touch, smell and taste—has long been a preoccupation of philosophers. One pervasive and traditional problem, sometimes called “the problem of perception”, is created by the phenomena of perceptual illusion and hallucination: if these kinds of error are possible, how can perception be what it intuitively seems to be, a direct and immediate access to reality? The present entry is about how these possibilities of error challenge the intelligibility of the phenomenon of (...) perception, and how the major theories of perception in the last century are best understood as responses to this challenge. (shrink)

I argue that Norton & Earman's hole argument, despite its historical association with General Relativity, turns upon very general features of any linguistic system that can represent substances by names. After exploring various means by which mathematical objects can be interpreted as representing physical possibilities, I suggest that a form of essentialism can solve the hole dilemma without abandoning either determinism or substantivalism. Finally, I identify the basic tenets of such an essentialism in Newton's writings and consider how they can (...) be updated to apply to the case provided by General Relativity. (shrink)

The celebrated "Twin Earth" arguments of Hilary Putnam (1975) and Tyler Burge (1979) aim to establish that some intentional states logically depend on facts external to the subjects of those states. Ascriptions of states of these kinds to a thinker entail that the thinker's environment is a certain way. It is not possible that the thinker could be in those very intentional states unless the environment is that way...

There are various senses in which a physical theory may be said to "unify" different forces, with the unification being deeper of more shallow in different cases. This paper discusses some of these distinctions.

Dispositions are essential to our understanding of the world. Dispositions: A Debate is an extended dialogue between three distinguished philosophers - D.M. Armstrong, C.B. Martin and U.T. Place - on the many problems associated with dispositions, which reveals their own distinctive accounts of the nature of dispositions. These are then linked to other issues such as the nature of mind, matter, universals, existence, laws of nature and causation.

The nature of perception has long been a central question in philosophy. It is of crucial importance not just in the philosophy of mind, but also in epistemology, metaphysics, aesthetics, and the philosophy of science. The essays in this 1992 volume not only offer fresh answers to some of the traditional problems of perception, but also examine the subject in light of contemporary research on mental content. A substantial introduction locates the essays within the recent history of the subject, and (...) demonstrates the links between them. The Contents of Experience brings together some prominent philosophers in the field, and offers a major statement on a problem central to current philosophical thinking. Notable contributors include Christopher Peacocke, Brian O'Shaughnessy and Michael Tye. (shrink)

In “Models and Reality” (1980), Putnam sketched a version of his internal realism as it might arise in the philosophy of mathematics. Here, I will develop that sketch. By combining Putnam’s model-theoretic arguments with Dummett’s reflections on Gödelian incompleteness, we arrive at (what I call) the Skolem-Gödel Antinomy. In brief: our mathematical concepts are perfectly precise; however, these perfectly precise mathematical concepts are manifested and acquired via a formal theory, which is understood in terms of a computable system of proof, (...) and hence is incomplete. Whilst this might initially seem strange, I show how internal categoricity results for arithmetic and set theory allow us to face up to this Antinomy. This also allows us to understand why “Models are not lost noumenal waifs looking for someone to name them,” but “constructions within our theory itself,” with “names from birth.”. (shrink)

The mind-body problem in contemporary philosophy has two parts: the problem of mental causation and the problem of consciousness. These two parts are not unrelated; in fact, it can be helpful to see them as two horns of a dilemma. On the one hand, the causal interaction between mental and physical phenomena seems to require that all causally efficacious mental phenomena are physical; but on the other hand, the phenomenon of consciousness seems to entail that not all mental phenomena are (...) physical.2 One may avoid this dilemma by adopting an epiphenomenalist view of consciousness, of course; but there is little independent reason for believing such a view. Rejecting epiphenomenalism, then, leaves contemporary philosophers with their problem: mental causation inclines them towards physicalism, while consciousness inclines them towards dualism. (shrink)

Amie Thomasson and Eli Hirsch have both attempted to deflate metaphysics, by combining Carnapian ideas with an appeal to ordinary language. My main aim in this paper is to critique such deflationary appeals to ordinary language. Focussing on Thomasson, I draw two very general conclusions. First: ordinary language is a wildly complicated phenomenon. Its implicit ontological commitments can only be tackled by invoking a context principle; but this will mean that ordinary language ontology is not a trivial enterprise. Second: ordinary (...) language often points in different directions simultaneously, so that a wide variety of existence questions cannot be deflated merely by appealing to ordinary language. (shrink)

We call our thoughts conscious, and we also say the same of our bodily sensations, perceptions and other sensory experiences. But thoughts and sensory experiences are very different phenomena, both from the point of view of their subject and in their functional or cognitive role. Does this mean, then, that there are very different kinds or varieties of consciousness? Philosophers do often talk about different kinds of consciousness: Christopher Hill, for example, claims that ‘it is customary to distinguish five forms (...) of consciousness’ (Hill 2009: 1). These are: agent consciousness, propositional consciousness, introspective consciousness, relational consciousness and phenomenal consciousness; to which Hill adds experiential consciousness, making six in total. (shrink)

A singular thought can be characterized as a thought which is directed at just one object. The term ‘thought’ can apply to episodes of thinking, or to the content of the episode (what is thought). This paper argues that episodes of thinking can be just as singular, in the above sense, when they are directed at things that do not exist as when they are directed at things that do exist. In this sense, then, singular thoughts are not object-dependent.

The following bare-bones story introduces the idea of a cumulative hierarchy of pure sets: 'Sets are arranged in stages. Every set is found at some stage. At any stage S: for any sets found before S, we find a set whose members are exactly those sets. We find nothing else at S.' Surprisingly, this story already guarantees that the sets are arranged in well-ordered levels, and suffices for quasi-categoricity. I show this by presenting Level Theory, a simplification of set theories (...) due to Scott, Montague, Derrick, and Potter. (shrink)

In The Mind and the World Order, C.I. Lewis made a famous distinction between the immediate data ‘which are presented or given to the mind’ and the ‘construction or interpretation’ which the mind brings to those data (1929: 52). What the mind receives is the datum – literally, the given – and the interpretation is what happens when we being it ‘under some category or other, select from it, emphasise aspects of it, and relate it in particular and unavoidable ways’ (...) (1929: 52). So although any attempt to describe the given will inevitably be an interpretation of it, this should not give us reason to deny its existence: ‘no-one but a philosopher could for a moment deny this immediate presence in consciousness of that which no activity of thought can create or alter’ (1929: 53). Whatever those outside philosophy might think, Lewis was certainly right about what philosophers were prepared to deny. His conception of the ‘given’ is without question one of the targets of Wilfrid Sellars’s influential critique of the notion of the ‘whole framework of givenness’ (1957).1 One of the things Sellars was attacking was the idea that something that was merely given by the senses could put one in a position to be justified in making a judgement about the empirical world. The.. (shrink)

Many philosophers think that being in an intentional state is a matter of being related to a sentence in a mental language-a 'Language of Thought' (see especially Fodor 1975, 1987 Appendix; Field 1978). According to this view-which I shall call 'the LT hypothesis'-when anyone has a belief or a desire or a hope with a certain content, they have a sentence of this language, with that content, 'written' in their heads. The claim is meant quite literally: the mental representations that (...) make up the items of this language have semantic and syntactic properties. This is why, according to this view, cognitive psychology does, and should, treat that part of the mind which deals with intentional states as a semantic and a syntactic 'engine'. (shrink)

This paper argues that a notion of statistical explanation, based on Salmon’s statistical relevance model, can help us better understand deep neural networks. It is proved that homogeneous partitions, the core notion of Salmon’s model, are equivalent to minimal sufficient statistics, an important notion from statistical inference. This establishes a link to deep neural networks via the so-called Information Bottleneck method, an information-theoretic framework, according to which deep neural networks implicitly solve an optimization problem that generalizes minimal sufficient statistics. The (...) resulting notion of statistical explanation is general, mathematical, and subcausal. (shrink)

The Divine Attributes explores the traditional theistic concept of God as the most perfect being possible, discussing the main divine attributes which flow from this understanding - personhood, transcendence, immanence, omnipresence, omniscience, omnipotence, perfect goodness, unity, simplicity and necessity. It argues that the atemporalist's conception of God is to be preferred over the temporalist's on the grounds of perfect being theology, but that, if it were to be the case that the temporal God existed, rather than the atemporal God, He'd (...) still be 'perfect enough' to count as the God of Theism. (shrink)

In this paper we defend the doxastic conception of delusions against the metacognitive account developed by Greg Currie and collaborators. According to the metacognitive model, delusions are imaginings that are misidentified by their subjects as beliefs: the Capgras patient, for instance, does not believe that his wife has been replaced by a robot, instead, he merely imagines that she has, and mistakes this imagining for a belief. We argue that the metacognitive account is untenable, and that the traditional conception of (...) delusions as beliefs should be retained. (shrink)

This book defends and outlines the key issues surrounding the philosophy of content as demonstrated in Wittgenstein's Philosophical Investigations. The text shows how Wittgenstein's critical arguments concerning mind and meaning are destructive of much recent work in the philosophy of thought and language, including the representationalist orthodoxy. These issues are related to the work of Davidson, Rorty and McDowell among others.

Franz Brentano’s attempt to distinguish mental from physical phenomena by employing the scholastic concept of intentional inexistence is often cited as reintroducing the concept of intentionality into mainstream philosophical discussion. But Brentano’s own claims about intentional inexistence are much misunderstood. In the second half of the 20th century, analytical philosophers in particular have misread Brentano’s views in misleading ways.1 It is important to correct these misunderstandings if we are to come to a proper assessment of Brentano’s worth as a philosopher (...) and his position in the history of philosophy. Good corrections have been made in the recent analytic literature by David Bell (1990), Dermot Moran (1996), and Barry Smith (1994) among others. But there is also another, more purely philosophical lesson to be learned from the proper understanding of Brentano’s views on this matter. This is that Brentano’s struggles with the concept of intentionality reveal a fundamental division between different ways of thinking about intentionality, an division which Brentano himself does not make fully clear. Making the nature of this division explicit is the aim of this paper. (shrink)

Many philosophers want to say both that everything is determined by the physical and subject to physical laws and principles, and that certain mental entities cannot be identified with any physical entities. The problem of mental causation is to make these two assumptions compatible with the causal efficacy of the mental. The concern is that this physicalist picture of the world leaves no space for the causal efficacy of anything non-physical. The physical, as it is sometimes said, excludes anything non- (...) physical from doing causal work. (shrink)

It is widely held that there is a problem of talking about or otherwise representing things that not exist. But what exactly is this problem? This paper presents a formulation of the problem in terms of the conflict between the fact that there are truths about non-existent things and the fact that truths must be answerable to reality, how things are. Given this, the problem of singular negative existential statements is no longer the central or most difficult aspect of the (...) problem of non-existence, despite what some philosophers say. (shrink)

It has long been a commonplace that there is a problem understanding the role of time when one tries to quantize the General Theory of Relativity (GTR). In his "Thoroughly Modern McTaggart" (Philosophers' Imprint Vol 2, No. 3), John Earman presents several arguments to the conclusion that there is a problem understanding change and the passage of time in the unadorned GTR, quite apart from quantization. His Young McTaggart argues that according to the GTR, no physical magnitude ever changes. A (...) close consideration of Young McTaggart's arguments show that they turn on either a bad choice of formalism or an unwarranted interpretation of the implications of the formalism. This suggests that the problems that arise in quantization may be founded in similar shortcomings. (shrink)

No-futurists ('growing block theorists') hold that that the past and the present are real, but that the future is not. The present moment is therefore privileged: it is the last moment of time. Craig Bourne (2002) and David Braddon-Mitchell (2004) have argued that this position is unmotivated, since the privilege of presentness comes apart from the indexicality of 'this moment'. I respond that no-futurists should treat 'x is real-as-of y' as a nonsymmetric relation. Then different moments are real-as-of different times. (...) This reunites privilege with indexicality, but entails that no-futurists must believe in ineliminably tensed facts. (shrink)

Keränen (2001) raises an argument against realistic (ante rem) structuralism: where a mathematical structure has a non-trivial automorphism, distinct indiscernible positions within the structure cannot be shown to be non-identical using only the properties and relations of that structure. Ladyman (2005) responds by allowing our identity criterion to include 'irreflexive two-place relations'. I note that this does not solve the problem for structures with indistinguishable positions, i.e. positions that have all the same properties as each other and exactly the same (...) relations to all objects (including themselves). I conclude that realistic structuralists must compromise and treat some structures eliminativistically. (shrink)

This article surveys recent literature by Parsons, McGee, Shapiro and others on the significance of categoricity arguments in the philosophy of mathematics. After discussing whether categoricity arguments are sufficient to secure reference to mathematical structures up to isomorphism, we assess what exactly is achieved by recent ‘internal’ renditions of the famous categoricity arguments for arithmetic and set theory.