Daniel Nolan

In this paper, I motivate the view that quantitative parsimony is a theoretical virtue: that is, we should be concerned not only to minimize the number of kinds of entities postulated by our theories (i. e. maximize qualitative parsimony), but we should also minimize the number of entities postulated which fall under those kinds. In order to motivate this view, I consider two cases from the history of science: the postulation of the neutrino and the proposal of Avogadro's hypothesis. I also consider two issues concerning how a principle of quantitative parsimony should be framed.

Chrysippus often talks as if there is a third option when we might expect that two options in response to a question are exhaustive. Things are true, false or neither; equal, unequal, or neither; the same, different, or neither.. and so on. There seems to be a general pattern here that calls for a general explanation. This paper offers a general explanation of this pattern, preserving Stoic commitments to excluded middle and bivalence, arguing that Chrysippus employs this trichotomy move when he wishes to argue that apparent contradictories are only contraries, and wishes to endorse a third option. This general explanation of the pattern of trichotomies sheds light on a number of interpretive puzzles, including on Chrysippus's response to the paradox of the cone. The purpose of these trichotomies is also discussed, and it is suggested that they originate from the dialectical context in which philosophical problems were posed.

This paper describes a plausible view of the nature of physical objects, their mereological connections to each other, and their relation to spacetime. As well as being parsimonious, the view provides a plausible context for denying all of the following: (1) A theory that objects endure through time (and do not have temporal parts, as normally conceived) cannot claim that material objects are identical to space-time regions they occupy. (2) At least one of the family of mereological connections (part-whole, overlap etc.) is to be taken as primitive. (3) Claims entirely in the language of quantifiers and identity and mereology are not semantically vague. It is thus an example showing that the there are more options for the metaphysics of objects, spacetime and mereology than many metaphysicians ordinarily assume.

In the last few decades of the twentieth century there was a revolution in metaphysics: the intensional revolution. Many metaphysicians rejected the doctrine, associated with Quine and Davidson, that extensional analyses and theoretical resources were the only acceptable ones. Metaphysicians embraced tools like modal and counterfactual analyses, claims of modal and counterfactual dependence, and entities such as possible worlds and intensionally individuated properties and relations. The twenty-first century is seeing a hypterintensional revolution. Theoretical tools in common use carve more finely than by necessary equivalence: two pieces of language can apply to the same entities across all possible worlds but not be equivalent; thoughts can be necessarily equivalent in truth value but not synonymous. This paper argues that hyperintensional resources are valuable in metaphysics outside theories of representation, and discusses some promising areas of hyperintensional metaphysics

Our ordinary moral practices not only suppose that some people ought to perform some actions, and that some outcomes are morally better or worse than others, but also that there are rights, duties, goodness, and other apparently abstract moral entities. What should we make of these entities, and the talk of these entities? It is not straighforward to account for these entities in other terms. On the other hand, this paper will argue that talk of such entities is not easily eliminated from good moral theorising. Nor are the prospects for paraphrasing apparent talk about these entities into less committal terms very promising. We should either find a place in our ontology for these creatures of ethics, or explain how they can be employed as a convenient fiction.

A lot of good philosophy is done in the armchair, but is nevertheless a posteriori. This paper clarifies and then defends that claim. Among the a posteriori activities done in the armchair are assembling and evaluating commonplaces; formulating theoretical alternatives; and integrating well-known past a posteriori discoveries. The activity that receives the most discussion, however, is the application of theoretical virtues to choose philosophical theories: the paper argues that much of this is properly seen as a posteriori.

This paper explores a special kind of loop of grounding: cosmic loops. A cosmic loop is a loop that intuitively requires us to go "around" the entire universe to come back to the original ground. After describing several kinds of cosmic loop scenarios, I will discuss what we can learn from these scenarios about constraints on grounding; the conceivability of cosmic loops; the possibility of cosmic loops; and the prospects for salvaging local reflexivity, asymmetry and transitivity of grounding in a world containing a cosmic loop of ground. The considerations raised in this paper also bear on what we should think about relations that are meant to support grounding relations: in particular, revisions to theories of the part-whole relation are discussed.

We reply to recent papers by John Turri and Ben Bronner, who criticise the dispositionalised Nozickian tracking account we discuss in “Mad, Bad and Dangerous to Know.” We argue that the account we suggested can handle the problems raised by Turri and Bronner. In the course of responding to Turri and Bronner’s objections, we draw three general lessons for theories of epistemic dispositions: that epistemic dispositions are to some extent extrinsic, that epistemic dispositions can have manifestation conditions concerning circumstances where their bearers fail to exist, and that contrast is relevant to disposition attributions

A pressing problem for many non-realist1 theories concerning various specific subject matters is the challenge of making sense of our ordinary propositional attitude claims related to the subject in question. Famously in the case of ethics, to take one example, we have in ordinary language prima facie ascriptions of beliefs and desires involving moral properties and relationships. In the case, for instance, of “Jason believes that Kylie is virtuous”, we appear to have a belief which takes Kylie to be a certain way. If Jason desires that Kylie acts as she ought, he appears to have a desire which has as its content that Kylie perform actions of a certain sort (i.e. the actions that she ought to perform). However, for non-cognitivists in ethics who reject the idea that sentences such as “Kylie is virtuous” or “Kylie acts as she ought” are in the business of making truth-apt claims, or representing that certain moral features are possessed by objects or events, or even, in extreme cases, that such claims express propositions at all, the semantic analysis of the example propositional attitude claims made about Jason will have to be non-standard. (This is merely an application of the well-known “Frege-Geach problem” (see Geach 1965) to the case of embedding moral vocabulary in propositional-attitude ascriptions.).

Many people are inclined to think that consequences of actions, or perhaps reasonably expected consequences of those actions, have moral weight. Firing off shotguns in crowded areas is typically wrong, at least in part, because of the people who get maimed and killed. Committed consequentialists think that consequences (either actual consequences, or expected consequences, or intended consequences, or reasonably expected consequences, or maybe some other different shade) are all that matters, morally speaking. Lying and stealing are wrong, when they are wrong, only because of the consequences they have – these may include direct consequences, such as the loss of property by another, or another’s hurt at being deceived, but also indirect consequences, such as setting a bad example or cultivating a disposition to lie or steal too easily that risks manifesting when the direct harm would be more serious. Consequentialists do not have to agree on much else – they may not agree what the morally relevant consequences are (Bentham thought they were a matter of pleasure and avoidance of pain, others may define a conception of human welfare, or preference satisfaction, or something else), they may disagree over whether there is one sort of consequence or many sorts that are relevant, and they can disagree about how the consequences matter. A maximiser thinks that as much as possible of the relevant consequences is morally important, others may think that beyond some point, consequences are indifferent, others may think that the average distribution of consequences across agents is what matters, or largely what matters, and so on.1..

As is well known, Aristotelian natural philosophy, and many other systems of natural philosophy since, have relied heavily on teleology and teleological causation. Somehow, the purpose or end of an obj ect can be used to predict and explain what that object does: once you know that the end of an acorn is to become an oak, and a few things about what sorts of circumstances are conducive to the attainment of this end, you can predict a lot about the sprouting of the acorn and the subsequent behaviour of the piece of vegetation that results. Once you know that a rock seeks to move towards the centre of the Earth, you gain some insight into why it falls when released, and why it deforms the carpet or foot that it lands on. Once you know that the rabbit seeks to preserve itself, you can predict it will run from the fox. And so on. There are at least three features of Aristotle’s teleology, and more generally of an Aristotelian frame of mind about teleology, that may induce suspicion. One is that an end can serve as a "cause": as well as the sort of causation we all recognize, efficient causation, there are other forms, one of which is teleological causation. However, this can look less odd if we think of causes as things that figure in "because" answers to "why" questions. Whether or not self-preservation, or the rabbit’s continued existence, or something similar, causes the rabbit to run, the reply "because it seeks to continue in existence" certainly makes sense as an answer, or part of an answer, to a question about why it ran from the fox. (At present we are only.

David Lewis’s work in the past few decades produced a powerful and thought-provoking system, and this collection of eleven essays represents state-of-the-art engagement with that system across a range of topics. The title would suggest that the papers would deal in particular with Lewis’s doctrine of Humean supervenience, the doctrine that all the contingent truths are ultimately determined by instantiations of fundamental categorical properties at points of space-time, and the spatiotemporal relationships between those instantiations: that everything in our world supervenes on “local, particular matters of fact.” It is a bold philosophical program, with a reductionist approach to our everyday theoretical commitments and a goal of explaining the connections between the mental and the physical, laws and regularities, causes and effects, and chances and their outcomes, all without “necessary connections between distinct existences.” It is a program that many philosophers believe deserves attention in detail, even if many would wish to dispute parts of the picture. Indeed, Lewis himself does not so much defend Humean supervenience outright as argue that it need not be given up on philosophical grounds —in principle the materials allowed by Lewis would be enough to enable the world to contain such things as minds, causation, people, and languages; and in principle, Lewis claims, his Humean world has everything needed for truths of counterfactual conditionals and statements of objective chances. Lewis leaves open the question of whether physics in fact delivers us such a sparse world, but he thought that the lessons of his in-principle defense of Humean supervenience would carry over to a system including whatever fundamental physical posits will be eventually settled upon by science.

_ Source: _Volume 10, Issue 3, pp 441 - 456 Several kinds of historical alternatives are distinguished. Different kinds of historical alternatives are valuable to the practice of history for different reasons. Important uses for historical alternatives include representing different sides of historical disputes; distributing chances of different outcomes over alternatives; and offering explanations of why various alternatives did _not_ in fact happen. Consideration of counterfactuals about what would have happened had things been different in particular ways plays particularly useful roles in reasoning about historical analogues of current conditions; reasoning about causal claims; and in evaluating historical explanations. When evaluating the role of alternative histories in historical thinking, we should keep in mind the uses of historical alternatives that go well beyond the long-term and specific scenarios that are the focus of so-called “counterfactual history”.

This article focuses on the main methods used in analytic metaphysics. It first considers five important sources of constraints on metaphysical theorizing: linguistic and conceptual analysis, consulting intuitions, employing the findings of science, respecting folk opinion, and applying theoretical virtues in metaphysical theory choice such as preferring simpler theories, or preferring more explanatory theories. It then examines the role of formal methods in metaphysics as well as the role of metaphysical communities, traditions, and the place of the history of metaphysics in contemporary work. It also discusses the issue of whether metaphysics should be seen as an enterprise that will yield knowledge of metaphysical matters or whether it should have more modest epistemic goals. Finally, it explores the question of how much of metaphysics is a priori.

Curry's paradox for "if.. then.." concerns the paradoxical features of sentences of the form "If this very sentence is true, then 2+2=5". Standard inference principles lead us to the conclusion that such conditionals have true consequents: so, for example, 2+2=5 after all. There has been a lot of technical work done on formal options for blocking Curry paradoxes while only compromising a little on the various central principles of logic and meaning that are under threat. Once we have a sense of the technical options, though, a philosophical choice remains. When dealing with puzzles in the logic of conditionals, a natural place to turn is independently motivated semantic theories of the behaviour of "if... then...". This paper argues that the closest-worlds approach outlined in Nolan 1997 offers a philosophically satisfying reason to deny conditional proof and so block the paradoxical Curry reasoning, and can give the verdict that standard Curry conditionals are false, along with related "contraction conditionals".

This paper builds on the system of David Lewis’s “Parts of Classes” to provide a foundation for mathematics that arguably requires not only no distinctively mathematical ideological commitments (in the sense of Quine), but also no distinctively mathematical ontological commitments. Provided only that there are enough individual atoms, the devices of plural quantification and mereology can be employed to simulate quantification over classes, while at the same time allowing all of the atoms (and most of their fusions with which we are concerned) to be individuals (that is, urelements of classes). The final section of the paper canvasses some reasons to be committed to the required ontology for other than mathematical reasons.

The question of what truths are necessary in the broadest possible sense is a difficult one to answer, as is the question of what the limits are to what is possible. (Most people would see these two questions as different sides of the same coin, of course, since many think the question of what is possible is just the question of what is not necessarily ruled out). We have three general sorts of strategies for determining whether something is necessary (or possible). We can identify it in a class that we were previously sure was a class of things that are necessary – we might show it is a theorem of a logical system that we have confidence in, or that the sentence appears to be true simply in virtue of the meanings of the words, or that it is a true statement involving names or about natural kinds of the “necessary a posteriori” sort discussed by Kripke and Putnam, and there are perhaps other classes of claims which we are prepared to accept are necessary if true.1 Likewise, we might establish the possibility of something occurring by reference to a class of well-established or uncontroversial possibilities: e.g. we are inclined to think that it is possible (in the broadest sense) for an event to occur in the future if one of the same kind has occurred in the past.

In Jenkins’s groundbreaking analysis of flirtation (Jenkins 2006), she suggests that an act is an act of flirtation if, and only if, the following two conditions are satisfied: “First, the flirter should act with the intention to raise flirter/flirtee romance and/or sex to salience, in a knowing yet playful way. Second, he or she should believe that the flirtee can respond is in some significant way”. Jenkins also draws the useful distinction between flirtation proper and “flirtatious behaviour”: there is behaviour that typically raises romance or sex to salience in a knowing but playful way, but it can occur without flirting. In Jenkins’s example, a woman touching her ear while chatting to a man in Italy, who has no knowledge that in Italy that can be a sexual come-on, may be behaving flirtatiously without flirting. On the other hand, there can be flirting that does not count as flirtatious behaviour. There can be one-off jokes or private codes that intentionally and playfully raise sex or romance to salience, but through behaviour that seems entirely innocuous (or perhaps just strange) to anyone besides the flirter and flirtee.

Many people want to hold that some theoretical virtues—simplicity, elegance, familiarity or others—are only pragmatic virtues. That is, these features do not give us any more reason to think a theory is true, or close to true, but they justify choosing one theoretical option over another because they are desirable for some other, practical purpose. Using pragmatic virtues in theory choice apparently brings with it a dilemma: if we are deciding what to accept on the basis of considerations that are not truth-conducive, it looks like we should either refrain from believing what we accept, and adopt some sort of instrumentalist attitude to the theories we cherish; or alternatively, we stand charged with engaging in theoretical irrationality in our belief formation. This paper discusses the appropriate response to this dilemma

Reasoning about situations we take to be impossible is useful for a variety of theoretical purposes. Furthermore, using a device of impossible worlds when reasoning about the impossible is useful in the same sorts of ways that the device of possible worlds is useful when reasoning about the possible. This paper discusses some of the uses of impossible worlds and argues that commitment to them can and should be had without great metaphysical or logical cost. The paper then provides an account of reasoning with impossible worlds, by treating such reasoning as reasoning employing counterpossible conditionals, and provides a semantics for the proposed treatment