While virtually everyone recognizes the moral permissibility of whistleblowing under certain circumstances, most theorists offer relatively conservative accounts of when it is allowed, and are reluctant to offer a full recommendation of the practice as an important tool towards addressing ethical failures in the workplace. We think that accounts such as these tend to overestimate the importance of professional or personal obligations, and underestimate the moral obligation to shine light on severe professional malfeasance. Of course, a whistleblower, even an anonymous (...) one, often faces serious threats of retaliation and harm to their professional livelihoods and well-being. To address these challenges we argue in favor of a practice that we will call Preemptive Anonymous Whistleblowing (PAW). Such whistleblowing is preemptive in that a whistleblower provides information about malfeasance to a party in a position to do something about it without first raising the worry to one’s immediate superiors. At first blush, such preemption may seem unsettling, and PAW admittedly raises a number of worrisome issues. We defend PAW, however, as part of a larger argument that whistleblowing is morally required more often than is commonly thought. The availability of PAW as an option provides a method for allaying the concern that whistleblowing can be overly burdensome due to the risks of job and career. Insofar as that concern can be allayed, it is feasible for there to be substantial moral requirements to engage in whistleblowing in cases where severe harms can be prevented. With high enough stakes, there is a moral requirement for whistleblowing. (shrink)

My paper discusses the philosophical interrelationship between perfection, truth, and knowledge. The connection that exists between these three concepts underscores the argument of my paper that they are all one and the same thing. -/- The concepts of perfection, truth and knowledge are analysed in that order. I analyse perfection and demonstrate the practicalities of my arguments. Truth is then scrutinized and defined to illustrate its intimate relationship with perfection leading to the conclusion that knowledge being ‘truth that is perfect’. (...) -/- In dealing with the theory of knowledge, I take into account the justification of knowledge and highlighted arguments that I found to be insufficient. I derive a premise to refute and replace both the traditional and contemporary views of knowledge. -/- In the paper presented, I consider views of some prominent philosophers including; Locke, Russell, Plato, Aristotle and Leibniz. (shrink)

This is a one page handout presenting R.R. Marrett's objections to Frazer from an article reviewing books by Frazer and also one by Malinowski (and others not referred to here).

This is a one page handout presenting some objections A.R. Radcliffe-Brown makes to Frazer on rites and Frazer's evolutionism.

This is a one page handout presenting objections from Gluckman's book Politics, Law, and Ritual in Tribal Society.

The consistent histories reformulation of quantum mechanics was developed by Robert Griffiths, given a formal logical systematization by Roland Omn\`{e}s, and under the label `decoherent histories', was independently developed by Murray Gell-Mann and James Hartle and extended to quantum cosmology. Criticisms of CH involve issues of meaning, truth, objectivity, and coherence, a mixture of philosophy and physics. We will briefly consider the original formulation of CH and some basic objections. The reply to these objections, like the objections themselves, involves (...) a mixture of physics and philosophy. These replies support an evaluation of the CH formulation as a replacement for the measurement, or orthodox, interpretation. (shrink)

Sir James Frazer’s The Golden Bough presents a puzzle regarding how primitive peoples believe they can control something which civilized people regard as beyond their control: the weather. I clarify the puzzle and consider Frazer’s solution to it, as well as other solutions.

This paper interprets Sir James Frazer’s The Golden Bough as presenting an objection to diffusionism: the diffusionist theory cannot account for the isolation of the rite Frazer focuses on, in the societies studied by classicists.

Probably the most famous story about the armchair anthropologist Sir James Frazer is about how, when asked by William James about doing fieldwork, he said, “But Heavens forbid!” I propose that it was rational for Frazer to avoid fieldwork given his theory of what is rational for so-called savages: to kill returning tribesmen and visitors, to protect against disease.

There are some further responses I have to Mary Beard on the relationship between Sir James Frazer’s The Golden Bough and British colonialism: her claim that it provided an image of the empire as a whole. The paper contains two objections, very minor ones perhaps, and some highly speculatively defences. But I find the defences difficult to present in the traditional manner, so I have written the responses as a pastiche imitating a widely read European writer.

Why is there a norm of reciprocity in certain societies – the recipient of a gift should give a gift in return? Or what is its function? Sir James Frazer provides an unobvious answer to the function of such a norm in one society: it serves to establish who is alive.

This paper examines the debate between Marilyn Strathern and I.C. Jarvie. Writing in 1987, Strathern argues that the time is ripe for reincorporating Sir James Frazer. Jarvie thinks Strathern does so in a way that treats revolutions in anthropology as not involving scientific progress. There is a familiar defence against this charge while pursuing the same, or much the same, line of argument.

In this essay, I look at some extraordinary actors who never got their due—actors who had distinguished careers, but never won an Academy Award for acting. I review the work of: Joseph Cotten; Orson Welles; Edward G. Robinson; Cary Grant; James Mason; Richard Burton; Claude Rains; Alan Ladd: Robert Mitchum; and Fred MacMurray. In each case, I explore the actor’s best work, what made his acting outstanding, and offer possible explanations why he was not so honored.

This thesis modifies the wording of William Clifford’s 1877 evidence principle (that ‘it is wrong always, everywhere, and for anyone, to believe anything upon insufficient evidence’) to propose an explicitly moral principle, restricted to descriptive beliefs (about what is or is not the case) and excluding prescriptive beliefs (about what ought or ought not to be the case). It considers potential counter-examples, particularly William James’s 1896 defence of religious belief; and concludes that the modified principle survives unscathed. It then (...) searches for suitable criteria for ‘sufficient’ and ‘insufficient’ evidence, first within a Bayesian framework enriched by pragmatic considerations, and finally by returning to Clifford’s conception of our shared responsibilities to our shared epistemic asset. Combined with elements of Edward Craig’s (1990, 1999) ‘state-of-nature’ theory of knowledge this gets us to a minimum threshold to avoid insufficient evidence and an aspirational criterion of sufficient evidence. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Newton's Metaphysics: Essays by Eric SchliesserMarius StanEric Schliesser. Newton's Metaphysics: Essays. Oxford: Oxford University Press, 2021. Pp. 328. Hardback, $99.90.Newton owes his high regard to the quantitative science he left us, but his overall picture of the world had some robustly metaphysical threads woven in as well. Posthumous judgment about the value of these threads has varied wildly. Christian Wolff thought him a metaphysical rustic, as did Hans (...) Reichenbach some two centuries later ("Die Bewegungslehre bei Newton, Leibniz und Huygens," Kant-Studien 29 [1924]: 416–38). In the 1960s, the tide would turn, as Howard Stein and James Edward McGuire separately began to show that Newton's metaphysics was not just sophisticated, but often more compelling than its early modern alternatives (see respectively "Newtonian Spacetime," Texas Quarterly 10 [1967]: 174–200; and Tradition and Innovation: Newton's Metaphysics of Nature [Dordrecht: Kluwer Academic Publishers, 1995]). Eric Schliesser's book unfolds in that same register of appreciative, high scholarship, and it attests to the enduring attraction of its subject.The book grew out of previous discrete papers, to which he added a few more for this occasion. Accordingly, it does not come with a master argument. Rather, it is an in-depth exploration of some key metaphysical themes in Newton. As such, it befits its subject figure, who reflected on themes and concepts while stopping short of working out systems.The first major theme is Newton and Spinozism. The latter does not denote Spinoza's metaphysics. In fact, Schliesser explains, Newton shared with Spinoza some weighty commitments, for example, to space being actually infinite, and to substance monism: "for Newton, there is strictly speaking only one genuine substance," namely, God (33). Rather, "Spinozism" is an interpreter's category for a bundle of three theses: identifying God and nature; denying final causation in the physical world; and the assumption of "blind" metaphysical necessity. Some counted Hobbes and John Toland as Spinozist in this sense, and even Epicurus, avant la lettre. Newton and his followers argued vehemently against this package, as Schliesser shows in chapters 4, 5, and 8. Their chief complaint was that Spinozism is unable to account for the "origin of motion," for a certain type of order, and for the stability of cosmological structure—and to do so in a way that "meets the standards of Newtonian mechanics" (122). This interpretive lens allows Schliesser to draw Kant in, by reading his youthful Theory of Heaven as a possible Spinozist reply to their objections (chapter 3). [End Page 157]A second theme is the metaphysics of mechanics, where Schliesser weaves together several strands. One is the ontology of gravity, for which he offers a novel construal: for Newton, gravity counts as real, but in a qualified sense. Namely, it is not essential and not intrinsic: "even after creation, a lonely partless particle of matter in the universe would not be said to gravitate." And gravity is relational: a "shared quality" of two or more bits of matter, which obtains in virtue of their sharing a nature (19). Another strand is Newton's ontology of time—really, a subtle, difficult topic long neglected. Famously, Newton in Principia defends absolute, true, and mathematical time. The question is what these three qualifiers denote, and whether Newton thought they were synonymous. Schliesser in chapter 7 argues for the provocative view that "absolute" and "true" time are not identical concepts; rather, they pick out different entities. These entities share a common structure, namely, metric and topological. That makes them species of "mathematical" time (179). But, Schliesser contends, Newton has unequal warrant for his two concepts of time.Yet another theme is formal causation. It comes to the fore in chapter 5, which grapples with Newton's opaque idea that space is an "emanative effect." Schliesser explains that here, "emanation picks out a species of formal causation" (147), but in a novel, early modern sense that comes from Bacon, not Aristotle. If space has a formal cause, then so has its twin brother, time, the topic of chapter 7. God is their common formal cause. Then in chapter 6 (coauthored with Zvi Biener) Schliesser adds that, for Newton, laws... (shrink)

According to the view that there is moral encroachment in epistemology, whether a person has knowledge of p sometimes depends on moral considerations, including moral considerations that do not bear on the truth or likelihood of p. Defenders of moral encroachment face a central challenge: they must explain why the moral considerations they cite, unlike moral bribes for belief, are reasons of the right kind for belief (or withheld belief). This paper distinguishes between a moderate and a radical version of (...) moral encroachment. It shows that, while defenders of moderate moral encroachment are well-placed to meet the central challenge, defenders of radical moral encroachment are not. The problem for radical moral encroachment is that it cannot, without taking on unacceptable costs, forge the right sort of connection between the moral badness of a belief and that belief’s chance of being false. (shrink)

Recent debates between representational and relational theories of perceptual experience sometimes fail to clarify in what respect the two views differ. In this essay, I explain that the relational view rejects two related claims endorsed by most representationalists: the claim that perceptual experiences can be erroneous, and the claim that having the same representational content is what explains the indiscriminability of veridical perceptions and phenomenally matching illusions or hallucinations. I then show how the relational view can claim that errors associated (...) with perception should be explained in terms of false judgments, and develop a theory of illusions based on the idea that appearances are properties of objects in the surrounding environment. I provide an account of why appearances are sometimes misleading, and conclude by showing how the availability of this view undermines one of the most common ways of motivating representationalist theories of perception. (shrink)

Naïve realism, often overlooked among philosophical theories of perception, has in recent years attracted a surge of interest. Broadly speaking, the central commitment of naïve realism is that mind-independent objects are essential to the fundamental analysis of perceptual experience. Since the claims of naïve realism concern the essential metaphysical structure of conscious perception, its truth or falsity is of central importance to a wide range of topics, including the explanation of semantic reference and representational content, the nature of phenomenal consciousness, (...) and the basis of perceptual justification and knowledge. One of the greatest difficulties surrounding discussions of naïve realism, however, has been lack of clarity concerning exactly what affirming or denying it entails. In particular, it is sometimes unclear how naïve realism is related to the claim that perceptual experience is in some sense direct or unmediated, and also to what extent the view is compatible with another widely discussed thesis in the philosophy of perception, the claim that perceptual experiences are states with representational content. In this essay, I discuss how recent work on these issues helps to clarify both the central commitments of naïve realism, as well as its relation to representationalist theories of perception. Along the way, I will attempt to shed light on the different ways in which each approach tries to address the various theoretical challenges facing a philosophical theory of perception, and also to assess the prospects for views that attempts to combine features of each approach. (shrink)

An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the physical world and (...) are objects of mathematics. Though some mathematical structures such as infinities may be too big to be realized in fact, all of them are capable of being realized. Informed by the author's background in both philosophy and mathematics, but keeping to simple examples, the book shows how infant perception of patterns is extended by visualization and proof to the vast edifice of modern pure and applied mathematical knowledge. (shrink)

J. McTaggart argues that the philosophical conception of time is constituted by the notions of fluid and static time. Since, on his view, neither notion is philosophically viable, he concludes that time is nothing but an illusion that arises from our distorted perception of essentially atemporal reality. In the paper, I argue that despite McTaggart’s failure to prove the unreality of time as such, he does succeed in establishing his lesser claim that the concept of fluid time is without any (...) ontological import whatsoever. (shrink)

Most agree that, in some special scenarios, prudence can speak against feeling a fitting emotion. Some go further, arguing that the tension between fittingness and prudence afflicts some emotions in a fairly general way. This paper goes even further: it argues that, when it comes to anxiety, the tension between fittingness and prudence is nearly inescapable. On any plausible theory, an enormous array of possible outcomes are both bad and epistemically uncertain in the right way to ground fitting anxiety. What’s (...) more, the fittingness of an emotion is a demanding, not a permissive, normative status. So the norms of fitting emotion demand a great deal of anxiety. For almost any realistic agent, it would be deeply imprudent to feel anxiety in a way that meets the demands set by norms of fitting emotion. (shrink)

A polemical account of Australian philosophy up to 2003, emphasising its unique aspects (such as commitment to realism) and the connections between philosophers' views and their lives. Topics include early idealism, the dominance of John Anderson in Sydney, the Orr case, Catholic scholasticism, Melbourne Wittgensteinianism, philosophy of science, the Sydney disturbances of the 1970s, Francofeminism, environmental philosophy, the philosophy of law and Mabo, ethics and Peter Singer. Realist theories especially praised are David Armstrong's on universals, David Stove's on logical probability (...) and the ethical realism of Rai Gaita and Catholic philosophers. In addition to strict philosophy, the book treats non-religious moral traditions to train virtue, such as Freemasonry, civics education and the Greek and Roman classics. (shrink)

According to comparativism, degrees of belief are reducible to a system of purely ordinal comparisons of relative confidence. (For example, being more confident that P than that Q, or being equally confident that P and that Q.) In this paper, I raise several general challenges for comparativism, relating to (i) its capacity to illuminate apparently meaningful claims regarding intervals and ratios of strengths of belief, (ii) its capacity to draw enough intuitively meaningful and theoretically relevant distinctions between doxastic states, and (...) (iii) its capacity to handle common instances of irrationality. (shrink)

Call the following claim Asymmetry: rationality often requires a more steadfast response to pure moral disagreement than it does to otherwise analogous non-moral disagreement. This paper briefly motivates Asymmetry and explores its implications for meta-ethics. Some philosophers have thought that anti-realists are better-placed than realists to explain Asymmetry because, if anti-realism is true, disagreement cannot provide evidence against the reliability of one's thinking about objective moral facts. This paper argues that this simple diagnosis fails to support otherwise plausible anti-realisms. It (...) closes by discussing an alternative explanation for Asymmetry, which appeals to the moral importance of steadfastness. (shrink)

How were reliable predictions made before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? The book examines how judges, witch inquisitors, and juries evaluated evidence; how scientists weighed reasons for and against scientific theories; and how merchants counted shipwrecks to determine insurance rates. Also included are the problem of induction before Hume, design arguments for (...) the existence of God, and theories on how to evaluate scientific and historical hypotheses. It is explained how Pascal and Fermat's work on chance arose out of legal thought on aleatory contracts. The book interprets pre-Pascalian unquantified probability in a generally objective Bayesian or logical probabilist sense. (shrink)

This essay provides a novel argument for impurism, the view that certain non-truth-relevant factors can make a difference to a belief's epistemic standing. I argue that purists, unlike impurists, are forced to claim that certain ‘high-stakes’ cases rationally require agents to be akratic. Akrasia is one of the paradigmatic forms of irrationality. So purists, in virtue of calling akrasia rationally mandatory in a range of cases with no obvious precedent, take on a serious theoretical cost. By focusing on akrasia, and (...) on the nature of the normative judgments involved therein, impurists gain a powerful new way to frame a core challenge for purism. They also gain insight about the way in which impurism is true: my argument motivates the claim that there is moral encroachment in epistemology. (shrink)

According to the preference-centric approach to understanding partial belief, the connection between partial beliefs and preferences is key to understanding what partial beliefs are and how they’re measured. As Ramsey put it, the ‘degree of a belief is a causal property of it, which we can express vaguely as the extent to which we are prepared to act on it’ The Foundations of Mathematics and Other Logical Essays, Routledge, Oxon, pp 156–198, 1931). But this idea is not as popular as (...) it once was. Nowadays, the preference-centric approach is frequently dismissed out-of-hand as behaviouristic, unpalatably anti-realist, and/or prone to devastating counterexamples. Cases like Eriksson and Hájek’s :183–213, 2007) preferenceless Zen monk and Christensen’s :356–376, 2001) other roles argument have suggested to many that any account of partial belief that ties them too closely to preferences is irretrievably flawed. In this paper I provide a defence of preference-centric accounts of partial belief. (shrink)

In this paper, I defend an epistemic requirement on fitting hopes and worries: it is fitting to hope or to worry that p only if one’s epistemic position makes it rational to suspend judgment as to whether p. This view, unlike prominent alternatives, is ecumenical; it retains its plausibility against a variety of different background views of epistemology. It also has other important theoretical virtues: it is illuminating, elegant, and extensionally adequate. Fallibilists about knowledge have special reason to be friendly (...) to my view; it can help them explain why it can be unfitting to hold on to hope and worry in the face of overwhelming evidence, and it can also help them explain the sense in which knowledge that p and hope that –p are in tension with one another. (shrink)

Throughout history, almost all mathematicians, physicists and philosophers have been of the opinion that space and time are infinitely divisible. That is, it is usually believed that space and time do not consist of atoms, but that any piece of space and time of non-zero size, however small, can itself be divided into still smaller parts. This assumption is included in geometry, as in Euclid, and also in the Euclidean and non- Euclidean geometries used in modern physics. Of the few (...) who have denied that space and time are infinitely divisible, the most notable are the ancient atomists, and Berkeley and Hume. All of these assert not only that space and time might be atomic, but that they must be. Infinite divisibility is, they say, impossible on purely conceptual grounds. (shrink)

The standard representation theorem for expected utility theory tells us that if a subject’s preferences conform to certain axioms, then she can be represented as maximising her expected utility given a particular set of credences and utilities—and, moreover, that having those credences and utilities is the only way that she could be maximising her expected utility. However, the kinds of agents these theorems seem apt to tell us anything about are highly idealised, being always probabilistically coherent with infinitely precise degrees (...) of belief and full knowledge of all a priori truths. Ordinary subjects do not look very rational when compared to the kinds of agents usually talked about in decision theory. In this paper, I will develop an expected utility representation theorem aimed at the representation of those who are neither probabilistically coherent, logically omniscient, nor expected utility maximisers across the board—that is, agents who are frequently irrational. The agents in question may be deductively fallible, have incoherent credences, limited representational capacities, and fail to maximise expected utility for all but a limited class of gambles. (shrink)

Comparativism is the view that comparative confidences (e.g., being more confident that P than that Q) are more fundamental than degrees of belief (e.g., believing that P with some strength x). In this paper, I outline the basis for a new, non-probabilistic version of comparativism inspired by a suggestion made by Frank Ramsey in `Probability and Partial Belief'. I show how, and to what extent, `Ramseyan comparativism' might be used to weaken the (unrealistically strong) probabilistic coherence conditions that comparativism traditionally (...) relies on. (shrink)

I propose a solution to the paradox of the kalela dance, as presented by Richard Werbner, based on a variety of liberalism I once identified.

The logical interpretation of probability, or "objective Bayesianism'' – the theory that (some) probabilities are strictly logical degrees of partial implication – is defended. The main argument against it is that it requires the assignment of prior probabilities, and that any attempt to determine them by symmetry via a "principle of insufficient reason" inevitably leads to paradox. Three replies are advanced: that priors are imprecise or of little weight, so that disagreement about them does not matter, within limits; that it (...) is possible to distinguish reasonable from unreasonable priors on logical grounds; and that in real cases disagreement about priors can usually be explained by differences in the background information. It is argued also that proponents of alternative conceptions of probability, such as frequentists, Bayesians and Popperians, are unable to avoid committing themselves to the basic principles of logical probability. (shrink)

In this paper, I draw attention to a revolution in the metaphysical commitments of Western astrology. Although I do not wish to promote astrology, I propose a rational route to this revolution. But there is a strong argument, from a Popperian perspective, that my proposal fails to establish rationality. I then consider whether we should say that astrology is either false or unfalsifiable, drawing attention to some surprising findings from schizophrenia research. Also, in a footnote I present “Tompkins’ paradox.”.

There is a wide range of realist but non-Platonist philosophies of mathematics—naturalist or Aristotelian realisms. Held by Aristotle and Mill, they played little part in twentieth century philosophy of mathematics but have been revived recently. They assimilate mathematics to the rest of science. They hold that mathematics is the science of X, where X is some observable feature of the (physical or other non-abstract) world. Choices for X include quantity, structure, pattern, complexity, relations. The article lays out and compares these (...) options, including their accounts of what X is, the examples supporting each theory, and the reasons for identifying the science of X with (most or all of) mathematics. Some comparison of the options is undertaken, but the main aim is to display the spectrum of viable alternatives to Platonism and nominalism. It is explained how these views answer Frege’s widely accepted argument that arithmetic cannot be about real features of the physical world, and arguments that such mathematical objects as large infinities and perfect geometrical figures cannot be physically realized. (shrink)

The article discusses the varying conceptions of the faculty of ‘the understanding’ in 18th-century British philosophy and logic. Topics include the distinction between the understanding and the will, the traditional division of three acts of understanding and its critics, the naturalizing of human understanding, conceiving of the limits of human understanding, British innatism and the critique of empiricist conceptions of the understanding, and reconceiving the understanding and the elimination of scepticism. Authors discussed include Richard Price, James Harris, Zachary Mayne, (...) Edward Bentham, Isaac Watts, Dugald Stewart, John Norris—as well as Locke, Berkeley, Hume and Reid. (shrink)

A review of some major topics of debate in normative decision theory from circa 2007 to 2019. Topics discussed include the ongoing debate between causal and evidential decision theory, decision instability, risk-weighted expected utility theory, decision-making with incomplete preferences, and decision-making with imprecise credences.

Just before the Scientific Revolution, there was a "Mathematical Revolution", heavily based on geometrical and machine diagrams. The "faculty of imagination" (now called scientific visualization) was developed to allow 3D understanding of planetary motion, human anatomy and the workings of machines. 1543 saw the publication of the heavily geometrical work of Copernicus and Vesalius, as well as the first Italian translation of Euclid.

Many writers have recently argued that there is something distinctively problematic about sustaining moral beliefs on the basis of others’ moral views. Call this claim pessimism about moral deference. Pessimism about moral deference, if true, seems to provide an attractive way to argue for a bold conclusion about moral disagreement: moral disagreement generally does not require belief revision. Call this claim steadfastness about moral disagreement. Perhaps the most prominent recent discussion of the connection between moral deference and moral disagreement, due (...) to Alison Hills, uses pessimism about the former to argue for steadfastness about the latter. This paper reveals that this line of thinking, and others like it, are unsuccessful. There is no way to argue from a compelling version of pessimism about moral deference to the conclusion of steadfastness about moral disagreement. The most plausible versions of pessimism about moral deference have only very limited implications for moral disagreement. (shrink)

A problem for Aristotelian realist accounts of universals (neither Platonist nor nominalist) is the status of those universals that happen not to be realised in the physical (or any other) world. They perhaps include uninstantiated shades of blue and huge infinite cardinals. Should they be altogether excluded (as in D.M. Armstrong's theory of universals) or accorded some sort of reality? Surely truths about ratios are true even of ratios that are too big to be instantiated - what is the truthmaker (...) of such truths? It is argued that Aristotelianism can answer the question, but only a semi-Platonist form of it. (shrink)

One response to the problem of logical omniscience in standard possible worlds models of belief is to extend the space of worlds so as to include impossible worlds. It is natural to think that essentially the same strategy can be applied to probabilistic models of partial belief, for which parallel problems also arise. In this paper, I note a difficulty with the inclusion of impossible worlds into probabilistic models. Under weak assumptions about the space of worlds, most of the propositions (...) which can be constructed from possible and impossible worlds are in an important sense inexpressible; leaving the probabilistic model committed to saying that agents in general have at least as many attitudes towards inexpressible propositions as they do towards expressible propositions. If it is reasonable to think that our attitudes are generally expressible, then a model with such commitments looks problematic. (shrink)

This paper argues for the value of philosophers in a school of social sciences within a university, for fixing what I call disciplinary constitutions. A disciplinary constitution is a statement of “How our discipline works: how we achieve the ends of our discipline.” A lot of people depend on a constitution, but such a thing usually runs into problems and philosophers can identify these problems and propose solutions. I suggest that it is essential for the autonomy of an ambitious school (...) to be able to do such work internally. (shrink)

The formal sciences - mathematical as opposed to natural sciences, such as operations research, statistics, theoretical computer science, systems engineering - appear to have achieved mathematically provable knowledge directly about the real world. It is argued that this appearance is correct.

This is a one page handout reconstructing the paradox and identifying four solutions in the literature, as well as some concerns about them.

This paper offers a cheap solution to Laura Valentini’s paradox of ideal theory. An ideal theory cannot be sound by definition, since in the relevant sense of “ideal theory” it involves false propositions.

I present a sense of the term “ideal theory” based on Joseph Raz’s response to the situation of a lifeguard faced with three drowning on one side and two on the other and unable to save all. From what is of value, such a theory builds up a conception of an ideal political state or an aspect of it which we have reason to realize, but ignoring whether it is possible for us to realize this.

Modern philosophy of mathematics has been dominated by Platonism and nominalism, to the neglect of the Aristotelian realist option. Aristotelianism holds that mathematics studies certain real properties of the world – mathematics is neither about a disembodied world of “abstract objects”, as Platonism holds, nor it is merely a language of science, as nominalism holds. Aristotle’s theory that mathematics is the “science of quantity” is a good account of at least elementary mathematics: the ratio of two heights, for example, is (...) a perceivable and measurable real relation between properties of physical things, a relation that can be shared by the ratio of two weights or two time intervals. Ratios are an example of continuous quantity; discrete quantities, such as whole numbers, are also realised as relations between a heap and a unit-making universal. For example, the relation between foliage and being-a-leaf is the number of leaves on a tree,a relation that may equal the relation between a heap of shoes and being-a-shoe. Modern higher mathematics, however, deals with some real properties that are not naturally seen as quantity, so that the “science of quantity” theory of mathematics needs supplementation. Symmetry, topology and similar structural properties are studied by mathematics, but are about pattern, structure or arrangement rather than quantity. (shrink)

I distinguish two senses of the word “deconstruction.” Then I quote a passage by a critic from the 1860s which, together with trends of that time, gives rise to the question of whether deconstructive interpretation existed in the nineteenth century.

Dispostions, such as solubility, cannot be reduced to categorical properties, such as molecular structure, without some element of dipositionaity remaining. Democritus did not reduce all properties to the geometry of atoms - he had to retain the rigidity of the atoms, that is, their disposition not to change shape when a force is applied. So dispositions-not-to, like rigidity, cannot be eliminated. Neither can dispositions-to, like solubility.