The predominant interpretation of Wittgenstein's later remarks on religion takes him to hold that all religious utterances are non-scientific, and to hold that the way to show that religious utterances are non-scientific is to identify and characterise the grammatical rules governing their use. This paper claims that though this does capture one strand of Wittgenstein's later thought on religion, there is an alternative strand of that thought which is quite different and more nuanced. In this alternative strand Wittgenstein stresses that (...) religious utterances and beliefs can come in both scientific and non-scientific varieties. More than that, he claims that the grammar of religious utterances, and the logic of religious beliefs, is often complex – in that individual utterances and beliefs will often be mixed between, indeterminate between, or fluid between being scientific and being non-scientific. This complexity means that it will often be unhelpful to try to pin down one particular grammar or logic for a given utterance or belief. Wittgenstein therefore suggests a new method of grammatical and logical investigation, which is less likely to distort complex grammars or logics by being overly simplistic or rigid. This method is to use simple examples of utterances and beliefs as objects of comparison, so as to illuminate the different aspects of the more complex actual utterances and beliefs under examination. This alternative strand in Wittgenstein's later remarks on religion is a manifestation of a broader strand of Wittgenstein's later thought as a whole, which was first described by Friedrich Waismann, and later developed by Gordon Baker and Oskari Kuusela. The paper concludes by providing examples of religious beliefs which are logically mixed, indeterminate, and fluid, and showing how simple objects of comparison can be used to illuminate them. (shrink)

Many philosophers have puzzled over the nature of the logically simple objects, the “substance” of the world, in Wittgenstein’s Tractatus-logico-philosophicus (TLP). Such questions are misplaced because TLP is committed to the view that talk of such metaphysically problematical entities is part of the “ladder” that must be “thrown away” after one has climbed it. Further, TLP’s demotion of its logically simple objects to mere logical subjects requires an increased emphasis on the relations between these alleged (...) class='Hi'>objects. TLP’s account of its logically simple objects is an application of Russell’s relational view of mathematical objects from his Principles of Mathematics applied to “reality”. Carnap develops an analogous relational or “structural” view of reality in The Logical Structure of the World. Despite important differences between them, these three philosophers can profitably be seen as replacing the traditional emphasis on substances with a relational model of reality. (shrink)

The popularity of rule-consequentialism among philosophers has waxed and waned. Waned, mostly; at least lately. The idea that the morality that ought to claim allegiance is the ideal code of rules whose acceptance by everybody would bring about best consequences became the object of careful analysis about half a century ago, in the writings of J. J. C. Smart, John Rawls, David Lyons, Richard Brandt, Richard Hare, and others.1 They considered utilitarian versions of rule consequentialism but discovered flaws in the (...) view that attach to the wider consequentialist doctrine. In the eyes of many, the flaws were decisive. Brad Hooker has produced brilliant work that unsettles this complacent consensus.2 Over a period of several years he has produced a sustained and powerful defense of a version of rule consequentialism that does not obviously succumb to the criticisms that have been thought to render this doctrine a nonstarter. He acknowledges intellectual debts to Richard Brandt. But Hooker avoid certain excrescences in Brandt’s efforts to conceive of morality as an ideal code of rules. Most notably, Hooker eschews Brandt’s misguided attempt to derive some version of rule utilitarianism from an underlying commitment to some form of contractualism. Moreover, Hooker has worked to articulate a version of rule consequentialism in sufficient detail that one can see how the different parts of the doctrine hang together and how the best version of the.. (shrink)

This paper puts forward an alternative interpretation of the argument for simple objects advanced in the 2.0s of the Tractatus. In my view, Wittgenstein derives the simplicity of objects directly from his account of possible states, complex objects and senseful propositions. The key to Wittgenstein's argument is the idea that, if there were no simple objects, possible states would not be necessarily possible. If this were the case, however, there would be no senseful language, (...) in Wittgenstein's view. One of the subsidiary aims of this paper is to question the idea that Wittgenstein posits simples because, without them, language would be infinitely analysable.1. (shrink)

Suppose that a material object is gunky: all of its parts are located in space, and each of its parts has a proper part. Does it follow from this hypothesis that the space in which that object resides must itself be gunky? I argue that it does not. There is room for gunky objects in a space that decomposes without remainder into mereological simples.

For purposes of this paper, a conscious state is a mental state whose subject is directly or at least nonevidentially aware of being in it. (The state does not count as conscious if the subject has only been told about it by a cognitive scientist or psychologist; introspectively would be better, but no one should say that a state is conscious only if its subject actively introspects it.). N.b., this usage is only one among several quite different though of course (...) not competing ones; the phrase has been used in at least two other senses, as by, respectively, Dretske (1993, 1995) and Block (1995).1 My definition is stipulative, but not brutely so; it settles on one thing that is often meant by conscious state cf. a conscious memory, a conscious desire, a conscious intention, a conscious decision. According to higher-order (HO) theories of consciousness in this sense of consciousness, what makes a mental state a conscious one is that it is represented by another of the subject’s mental states, that in virtue of which s/he is aware of it. Some practitioners follow Locke in taking the higher-order state to be quasi-perceptual (Armstrong, 1968, 1980, Lycan 1991, 1996); others say it may be merely a thought about the original state (Rosenthal, 1986, 1990).2 There is an alleged objection to such theories, that originated with Goldman (1993)Error: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMapError: Illegal entry in bfrange block in ToUnicode CMap3 and has since been voiced and discussed by others (Dretske 1995, Stubenberg 1998, Van Gulick 2000, 2005, Gennaro 2005, Kriegel 2009). I say alleged, because. (shrink)

An SR model is presented that shows how an objective (noncontextual and local) interpretation of quantum mechanics can be constructed, which contradicts some well-established beliefs following from the standard interpretation of the theory and from known no-go theorems. The SR model is not a hidden variables theory in the standard sense, but it can be considered a hidden parameters theory which satisfies constraints that are weaker than those usually imposed on standard hidden variables theories. The SR model is also extended (...) in a natural way that shows how a broader theory embodying quantum mechanics can be envisaged which is realistic in a semantic sense, hence compatible with various “realistic” perspectives. (shrink)

Let us say that an extended object is “composed wholly of simples” just in case it is an aggregate of absolutely unextended parts spread throughout an extended region—that is, just in case there is a set S such that: every member is a point-sized part of the object, and for every x, x is part of the object if and only if it has a part in common with some member of S. Could a truly extended substance be composed entirely (...) of unextended parts? Reflection upon the fact that it must be at least possible for extended objects to touch one another suggests that the answer to this question is: No. (shrink)

In this article I introduce a hybrid view of persistence whereby simple objects persist by enduring while composite objects persist by being stage-related. I first show how, by sharing certain features and not others with the standard views of persistence, this hybrid view navigates two metaphysical problems that have been raised against such standard views. I then consider some implications of the view by addressing a couple of worries that may be raised against it. I conclude that (...) this hybrid view provides an attractive theory, one that deserves further investigation in the debate on persistence. (shrink)

I argue that extended simples are possible. The argument given here parallels an argument given elsewhere for the claim that the shape properties of material objects are extrinsic, not intrinsic as is commonly supposed. In the final section of the paper, I show that if the shape properties of material objects are extrinsic, the most popular argument against extended simples fails.

Extended simples are physical objects that, while spatially extended, possess no actual proper parts. The theory that physical reality bottoms out at extended simples is one of the principal competing views concerning the fundamental composition of matter, the others being atomism and the theory of gunk. Among advocates of extended simples, Markosian’s ‘MaxCon’ version of the theory has justly achieved particular prominence. On the assumption of causal realism, I argue here that the reality of MaxCon simples would entail the (...) reality of irreducible, intrinsic dispositional properties. The existence of dispositional properties in turn has important implications for another central debate in metaphysics, namely that between two major competing views concerning the ontology of laws: dispositionalism versus nomological necessitarianism. (shrink)

This article discusses three important models of concept combination—Smith and colleagues' Selective Modification model, Hampton's Composite Prototype model, and Costello and Keane's C3 model. Smith and colleagues' famous model of concept combination combines a model for producing complex concepts out of simple concepts with a prototype model of concept representation and a metric for computing the typicality of objects with respect to those concepts. The model of concept combination proposed by Smith and colleagues applies only to modifier–head complex (...) concepts. Hampton's model of concept combination includes, along with a qualitative description of the process resulting in complex concepts, a model of concepts, a model of categorization, and a model of typicality judgement. For Hampton, concept combination consists in the inheritance of typical properties from the combined concepts by the complex concept. (shrink)

This essay deals with the problem of the status of colours, traditionally considered as the paradigmatic case of secondary qualities: do colours exist only as aspects of experience or are they real properties of objects, existing independently of human and animal perception? Recently, John Campbell has argued in favour of the simple view of colours, according to which colours are real properties of objects. I discuss the place of Campbell's position in a debated which was started by (...) John Mackie and continued by John McDowell, and defend it from a criticism due to Michael Smith. I conclude that the simple view is a philosophically credible position. Subsequently, I consider an alleged contradiction between the simple view and semantic externalism pointed out by Jim Edwards. I suggest that a supporter of the simple view may consistently maintain semantic externalism, if she also accepts epistemological externalism about the canonical warrant of perceptual judgements. (shrink)

What are the necessary and jointly sufficient conditions for an object's being a simple (an object without proper parts)? According to one prominent view, The Pointy View of Simples, an object is a simple if and only if the region occupied by that object contains exactly one point in space. According to another prominent view, MaxCon, an object is a simple if and only if it is maximally continuous. In this paper, I argue that both of these (...) views are inconsistent with the possibility of discrete space. I then go on to formulate analogues to these two views that are consistent with this possibility, and argue that if we are willing to grant the possibility of discrete space, we should endorse the analogue to The Pointy View of Simples over the analogue to MaxCon. (shrink)

Facts such as the fact that Donald Trump is the US president or the fact that Germany won the 2014 world cup final are commonly referred to as “institutional facts” (“IFF”). I advocate the view that the nature of these facts is comparatively simple: they are facts that exist by virtue of collective recognition (CR), where CR can be direct or indirect. The leading account of IFF, that of John Searle, basically conforms with this definition. However, in his writings (...) Searle has considered or defended several other conditions as potentially necessary for the existence of IFF. In particular, he has considered whether (a) IFF necessarily involve deontic powers, (b) IFF are necessarily so-called “status functions”, (c) IFF require speech acts of Declaring for their existence, (d) IFF require language for their existence. Each of these considerations, if valid, would seem to render the nature of IFF less simple. In this paper, I argue that none of these considerations stand up to scrutiny. Being unaware of any other serious considerations of this kind, I conclude that the nature of IFF is simple as captured by my definition. There is a respect, however, in which my view is possibly less simple than Searle’s, for he suggests that CR is always direct, and never indirect. I reject this suggestion. Indeed, I think that most of the facts existing by virtue of CR exist by virtue of indirect CR. Some authors have (or at least might be construed as having) objected that CR is not even necessary for the existence of IFF. I argue that the account defended here is immune to these objections. (shrink)

A material simple is a material object that has no proper parts. Some philosophers have argued for the possibility of extended simples. Some have even argued for the possibility of heterogeneous simples or simples that have intrinsic variations across their surfaces. There is a puzzle, though, that is meant to show that extended, heterogeneous simples are impossible. Although several plausible responses have been given to this puzzle, I wish to reopen the case against extended, heterogeneous simples. In this paper, (...) I briefly canvass responses to this puzzle which may be made in defense of extended, heterogeneous simples. I then present a new version of this puzzle which targets simples that occupy atomic yet extended regions of space. It seems that none of the traditional responses can be used to successfully save this particular kind of extended simple from the new puzzle. I also consider some non-traditional defenses of heterogeneous extended simples and argue that they too are unsuccessful. Finally, I will argue that a substantial case can be made against the possibility of extended heterogeneous simples of any kind. (shrink)

I give reasons to suggest that the various ‘homogeneous substance’ objections to perdurance theory should not be regarded as raising serious difficulties. The main strategy is to show that there are equally exotic possibilities involving extended mereological simples that may turn the tables on the endurance theorist, insofar as she will have difficulties with these cases analogous to those she raises for the perdurantist. I conclude that such exotic cases are less useful that we might suppose in adjudicating between these (...) competing doctrines of persistence. (shrink)

In the course of modern philosophy, there have been several attempts to demonstrate the existence of ultimately simple objects by purely logical methods. One of the most recent of such attempts forms part of the foundation of Wittgenstein's logical doctrine. As Wittgenstein has, until quite recently, been considered the authoritative source of Logical Positivism, an examination of his supposed demonstration of logical simples is propaedeutic to an evaluation of the method of the school.

An object is a simple if and only if it has no proper parts. An object is gunk if and only if every proper part of that object itself has a proper part. In my dissertation, I address the following questions. The concepts of simples and gunk presuppose the concept of parthood. What is the status of this concept? his question itself divides into the following: does the concept of parthood have universal applicability, so that, just as every object (...) is self-identical, every object has parts? Finally, is the concept of parthood univocal, or are there different notions of parthood, each of which is defined on distinct ontological categories? I argue that the concept of parthood has univocal. I also argue that there is some evidence that the concept of parthood has universal applicability. I address the Simple Question, which is “under what circumstances is it true of some object that it has no proper parts?” I argue against several popular answers to the Simple Question, such as the view that simples are all and only point-sized objects, and the view that simples are maximally continuous material objects. I defend the Brutal View, which holds that there is no true, finitely expressible, and informative answer to the Simple Question. In short, there is no criterion for being a simple. Along the way, I address the question of whether extended simples, i.e., simples that are extended in space, are possible. I argue that one popular argument against the possibility of extended simples is unsound. I address the question of whether both simples and gunk are possible. I argue that it is metaphysically possible that material objects be composed of gunk. (shrink)

Are there any non‐composite objects? Are there any objects every part of which is composite? Are items of either kind even possible? What would they be like? Of what significance would they be? How best can we come to have reasonable beliefs about the answers to these inquiries? Such questions – about the actuality and possibility, the analysis and significance, the methodology and epistemology of simples and pieces of gunk – have been center stage in recent contemporary analytic (...) metaphysics. The following article provides a general overview of some of the current debates on their proper answers as well as a pair of slightly more detailed investigations into two issues of special interest in the recent literature devoted to these topics. (shrink)

Wittgenstein took the _Tractatus Logico-Philosophicus_ to be eventually invalidated by logical atomism. Our main thesis is that it can be revalidated, provided that we subtract the thesis 2.02 (“The object is simple.”) from it: atoms are not simple objects but, rather, bits of information the objects are made of. Starting from an introductory discussion about what is meant by a ‘logic of colors’, an explanatory framework is then proposed in the form of a partition semantics. The (...) philosophical problem of Wittgenstein’s color-statements is reformulated accordingly, thus overcoming the trouble with logical atomism. A Boolean treatment is advanced to solve the initial difficulty and leads to two final results: Wittgenstein’s logic of colors requires a mereological understanding of the relations between colors in order to make sense; the analysis of psychophysical concepts like colors casts some additional doubt about the analytic–synthetic distinction, to the point of treating relations between colors as analytic a posteriori judgments. (shrink)

We present a technique called Random Image Structure Evolution (RISE) for use in experimental investigations of high‐level visual perception. Potential applications of RISE include the quantitative measurement of perceptual hysteresis and priming, the study of the neural substrates of object perception, and the assessment and detection of subtle forms of agnosia. In simple terms, RISE involves the measurement of perceptual and/or neural responses as visual stimuli are systematically transformed—in particular, as recognizable objects evolve from, then dissolve into, randomness. (...) Points along the sequences corresponding to the onset and offset of subjects' percepts serve as markers for quantitatively and objectively characterizing several perceptual phenomena. Notably, these image sequences are created in a manner that strictly controls a number of important low‐level image properties, such as luminance and frequency spectra, thus reducing confounds in the analysis of high‐level visual processes. Here we describe the RISE paradigm, report the results of a few basic RISE experiments, and discuss a number of experimental and clinical applications of this approach. (shrink)

Many philosophers maintain that artworks, such as statues, are constituted by other material objects, such as lumps of marble. I give an argument against this view, an argument which appeals to mereological simples.

This paper offers a simple response to the Moral Twin Earth (MTE) objection to Naturalist Moral Realism (NMR). NMR typically relies on an externalist metasemantics such as a causal theory of reference. The MTE objection is that such a theory predicts that terms like ‘good’ and ‘right’ have a different reference in certain twin communities where it’s intuitively clear that the twins are talking about the same thing when using ‘good’. I argue that Boyd’s causal regulation theory, the original (...) target of the MTE objection, was never vulnerable to this objection. The theory contains an epistemic constraint on reference which implies that either the property that causally regulates uses of ‘good’ isn’t different for the twin communities or, in scenarios where the reference is different, the communities diverge in ways where it’s not intuitively clear that ‘good’ has the same reference for them. (shrink)

Prospect theory emerged as one of the leading descriptive decision theories that can rationalize a large body of behavioral regularities. The methods for eliciting prospect theory parameters, such as its value function and probability weighting, are invaluable tools in decision analysis. This paper presents a new simple method for eliciting prospect theory’s value function without any auxiliary/simplifying parametric assumptions. The method is applicable both to choice under ambiguity (Knightian uncertainty) and risk (when events are characterized by objective probabilities). Our (...) new elicitation method is implemented in a simple paper-and-pencil experiment (via an iterative multiple price list format). This is one of the first experiments that elicits non-parametric prospect theory’s value function with salient rewards. The collected data generally confirm findings in the existing literature: the value function is S-shaped (concave in the gain domain and convex in the loss domain) though there is a weaker loss aversion on the aggregate level and a substantial heterogeneity in loss aversion on the individual level (41% loss averse, 6% loss neutral and 53% gain seeking). (shrink)

The idea that there could be spatially extended mereological simples has recently been defended by a number of metaphysicians (Markosian 1998, 2004; Simons 2004; Parsons (2000) also takes the idea seriously). Peter Simons (2004) goes further, arguing not only that spatially extended mereological simples (henceforth just extended simples) are possible, but that it is more plausible that our world is composed of such simples, than that it is composed of either point-sized simples, or of atomless gunk. The difficulty for these (...) views lies in explaining why it is that the various sub-volumes of space occupied by such simples, are not occupied by proper parts of those simples. Intuitively at least, many of us find compelling the idea that spatially extended objects have proper parts at every sub-volume of the region they occupy. It seems that the defender of extended simples must reject a seemingly plausible claim, what Simons calls the geometric correspondence principle (GCP): that any (spatially) extended object has parts that correspond to the parts of the region that it occupies (Simons 2004: 371). We disagree. We think that GCP is a plausible principle. We also think it is plausible that our world is composed of extended simples. We reconcile these two notions by two means. On the one hand we pay closer attention to the physics of our world. On the other hand, we consider what happens when our concept of something—in this case space—contains elements not all of which are realized in anything, but instead key components are realized in different features of the world. (shrink)

We address simple voting games as mathematical objects in their own right, and study structures made up of these objects, rather than focusing on SVGs primarily as co-operative games. To this end it is convenient to employ the conceptual framework and language of category theory. This enables us to uncover the underlying unity of the basic operations involving SVGs.

Some things look more complex than others. For example, a crenulate and richly organized leaf may seem more complex than a plain stone. What is the nature of this experience—and why do we have it in the first place? Here, we explore how object complexity serves as an efficiently extracted visual signal that the object merits further exploration. We algorithmically generated a library of geometric shapes and determined their complexity by computing the cumulative surprisal of their internal skeletons—essentially quantifying the (...) “amount of information” within each shape—and then used this approach to ask new questions about the perception of complexity. Experiments 1–3 asked what kind of mental process extracts visual complexity: a slow, deliberate, reflective process (as when we decide that an object is expensive or popular) or a fast, effortless, and automatic process (as when we see that an object is big or blue)? We placed simple and complex objects in visual search arrays and discovered that complex objects were easier to find among simple distractors than simple objects are among complex distractors—a classic search asymmetry indicating that complexity is prioritized in visual processing. Next, we explored the function of complexity: Why do we represent object complexity in the first place? Experiments 4–5 asked subjects to study serially presented objects in a self‐paced manner (for a later memory test); subjects dwelled longer on complex objects than simple objects—even when object shape was completely task‐irrelevant—suggesting a connection between visual complexity and exploratory engagement. Finally, Experiment 6 connected these implicit measures of complexity to explicit judgments. Collectively, these findings suggest that visual complexity is extracted efficiently and automatically, and even arouses a kind of “perceptual curiosity” about objects that encourages subsequent attentional engagement. (shrink)

This essay deals with the problem of the status of colours, traditionally considered as the paradigmatic case of secondary qualities: do colours exist only as aspects of experience or are they real properties of objects, existing independently of human and animal perception? Recently, John Campbell has argued in favour of the simple view of colours, according to which colours are real properties of objects. I discuss the place of Campbell's position in a debated which was started by (...) John Mackie and continued by John McDowell, and defend it from a criticism due to Michael Smith. I conclude that the simple view is a philosophically credible position. Subsequently, I consider an alleged contradiction between the simple view and semantic externalism pointed out by Jim Edwards. I suggest that a supporter of the simple view may consistently maintain semantic externalism, if she also accepts epistemological externalism about the canonical warrant of perceptual judgements. (shrink)

It is an apparent truism about visual perception that we can see only what is visible to us. It is also frequently accepted that visual perception is dynamic: our visual experiences are extended through, and can evolve over time. I argue that taking the dynamism of visual experience seriously renders certain simplistic interpretations of the first claim, that a subject at a given time can see only what is visible to her at that time, false: we can be meaningfully said (...) to see invisible objects. This counterintuitive result in turn focuses our attention on the relationship between perception and memory. I show that it is difficult to draw a clear or simple distinction between the two. Memory and perception rely on, and blend with, one another. Together, these claims point us away from understanding visual perception as a simple reflection of the environment, and instead as closer to a process of dynamic modelling that draws together occurrent stimulation and stored information. (shrink)

Simple random sampling resolutions of the raven paradox relevantly diverge from scientific practice. We develop a stratified random sampling model, yielding a better fit and apparently rehabilitating simple random sampling as a legitimate idealization. However, neither accommodates a second concern, the objection from potential bias. We develop a third model that crucially invokes causal considerations, yielding a novel resolution that handles both concerns. This approach resembles Inference to the Best Explanation (IBE) and relates the generalization’s confirmation to confirmation (...) of an associated law. We give it an objective Bayesian formalization and discuss the compatibility of Bayesianism and IBE. (shrink)

According to certain kinds of semantic dispositionalism, what an agent means by her words is grounded by her dispositions to complete simple tasks. This sort of position is often thought to avoid the finitude problem raised by Kripke against simpler forms of dispositionalism. The traditional objection is that, since words possess indefinite (or infinite) extensions, and our dispositions to use words are only finite, those dispositions prove inadequate to serve as ground for what we mean by our words. I (...) argue that, even if such positions (emphasizing simple tasks) avoid the traditional form of Kripke's charge, they still succumb to special cases of the finitude problem. Furthermore, I show how such positions can be augmented so as to avoid even these special cases. Doing so requires qualifying the dispositions of interest as those possessed by the abstracted version of an actual agent (in contrast to, say, an idealized version of the agent). In addition to avoiding the finitude problem in its various forms, the position that results provides new materials for appreciating the role that abstracting models can play for a dispositionalist theory of meaning. (shrink)

Many empiricists, among them Locke and Hume, make a distinction between simple and complex ideas. Berkeley refuses to do so, because he finds connections—objective connections incompatible with simplicity—even among the ‘simplest’ of ideas. Simple ideas, in his view, are illegitimately abstract.

Objective Bayesian probability is often defined over rather simple domains, e.g., finite event spaces or propositional languages. This paper investigates the extension of objective Bayesianism to first-order logical languages. It is argued that the objective Bayesian should choose a probability function, from all those that satisfy constraints imposed by background knowledge, that is closest to a particular frequency-induced probability function which generalises the λ = 0 function of Carnap’s continuum of inductive methods.

Many believe that normative reasons for action are necessarily connected with the promotion of certain states of affairs: on Humean views, for example, there is a reason for you to do something if and only if it would promote the object of one of your desires. But although promotion is widely invoked in discussions of reasons, its nature is a matter of controversy. I propose a simple account: to promote a state of affairs is to make it more likely (...) to obtain than it previously was. I argue that this view has been unfairly neglected, that it avoids serious problems faced by many other views, and that it is a contender for the correct theory of promotion. (shrink)

This essay deals with the problem of the status of colours, traditionally considered as the paradigmatic case of secondary qualities: do colours exist only as aspects of experience or are they real properties of objects, existing independently of human and animal perception? Recently, John Campbell has argued in favour of the simple view of colours, according to which colours are real properties of objects. I discuss the place of Campbell's position in a debated which was started by (...) John Mackie and continued by John McDowell, and defend it from a criticism due to Michael Smith. I conclude that the simple view is a philosophically credible position. Subsequently, I consider an alleged contradiction between the simple view and semantic externalism pointed out by Jim Edwards. I suggest that a supporter of the simple view may consistently maintain semantic externalism, if she also accepts epistemological externalism about the canonical warrant of perceptual judgements. (shrink)

A simple interpretation of quantity calculus is given. Quantities are described as two-place functions from objects, states or processes (or some combination of them) into numbers that satisfy the mutual measurability property. Quantity calculus is based on a notational simplification of the concept of quantity. A key element of the simplification is that we consider units to be intentionally unspecified numbers that are measures of exactly specified objects, states or processes. This interpretation of quantity calculus combines all (...) the advantages of calculating with numerical values (since the values of quantities are numbers, we can do with them everything we do with numbers) and all the advantages of calculating with standardly conceived quantities (calculus is invariant to the choice of units and has built-in dimensional analysis). This also shows that the standard metaphysics and mathematics of quantities and their magnitudes is not needed for quantity calculus. At the end of the article, arguments are given that the concept of quantity as defined here is a pivotal concept in understanding the quantitative approach to nature. As an application of this interpretation of quantity calculus, an easy proof of dimensional homogeneity of physical laws is given. (shrink)

Many philosophers have supposed that while most of the objects in our immediate experience are composed of parts, at some point we must come down to those fundamental impartite objects out of which all partite things are composed: the metaphysical simples (usually conceived of as enduring, even eternal, entities). I consider what reason we have to believe that there really are simples, then we also have good reason to believe in their momentariness.

In this paper I have tried to clarify the meaning of two very different sets of characteristics which philosophers have had in mind when they claimed that ethical terms were objective. I gave a very tentative answer to the question whether it is true to say that, in any of the distinguished senses, ethical statements are objective. Lastly, I indicated how the failure to make the distinction I draw was responsible for a number of confusions and unnecessary difficulties. More precisely, (...) in (1) I defined the first set of the characteristics in question, which together I have called solidity ; in (2) I give reasons why it is misleading to claim that ethical statements are solid and also misleading to claim they are not; in (3) I defined the second set of these characteristics, namely, proper contentiousness and proper complexity; in (4) I explained what I thought were the fundamental differences between these two sets of characteristics; in (5) I suggested that the solidity of an expression is normally a good reason for holding that the expression is properly contentious and properly complex; in (6) I claim that the failure to understand (4) and, therefore, also (5) leads to the following errors: (a) that, if an expression is solid , it must be properly contentious and properly complex ; that, if an expression is non-solid , it must be either properly contentious and properly simple , or properly non-contentious . (5) That, if an expression is properly contentious and properly complex , it must be solid ; if it is properly contentious and properly simple or if it is properly non-contentious , then it must be non-solid ; and lastly in (7) I have mentioned some common reasons for holding that ethical expressions have one or the other of the above-mentioned characteristics. (shrink)

The standard argument for the uniqueness of the Einstein field equation is based on Lovelock's Theorem, the relevant statement of which is restricted to four dimensions. I prove a theorem similar to Lovelock's, with a physically modified assumption: that the geometric object representing curvature in the Einstein field equation ought to have the physical dimension of stress-energy. The theorem is stronger than Lovelock's in two ways: it holds in all dimensions, and so supports a generalized argument for uniqueness; it does (...) not assume that the desired tensor depends on the metric only up second-order partial-derivatives, that condition being a consequence of the proof. This has consequences for understanding the nature of the cosmological constant and theories of higher-dimensional gravity. Another consequence of the theorem is that it makes precise the sense in which there can be no gravitational stress-energy tensor in general relativity. Along the way, I prove a result of some interest about the second jet-bundle of the bundle of metrics over a manifold. (shrink)

Deep theorizing about possibility requires theorizing about possible objects. One popular approach regards the notion of a possible object as intertwined with the notion of a possible world. There are two widely discussed types of theory concerning the nature of possible worlds: actualist representationism and possibilist realism. They support two opposing views about possible objects. Examination of the ways in which they do so reveals difficulties on both sides. There is another popular approach, which has been influenced by (...) the philosophy of Alexius Meinong. The Meinongian approach is relevant to theorizing about possible objects because it attempts to construct a general theory of objects other than ordinary concrete existing objects. Independently of the debate about the nature of possible worlds or about Meinongianism, it is not always as straightforward as it may at first appear to determine whether putative possible objects are indeed possible. Another category of object similar to that of a possible object is the category of a fictional object. Although initially attractive, the idea that fictional objects are possible objects should not be accepted blindly. An important instance of theoretical usefulness of possible objects is their central role in the validation of two controversial theorems of a simple quantified modal logic. (shrink)