Accounts of the nature of unpleasant pain have proliferated over the past decade, but there has been little systematic investigation of which of them can accommodate its badness. This paper is such a study. In its sights are two targets: those who deny the non-instrumental disvalue of pain's unpleasantness; and those who allow it but deny that it can be accommodated by the view—advanced by me and others—that unpleasant pains are interoceptive experiences with evaluative content. Against the former, I argue (...) that pain's unpleasantness does indeed have noninstrumental disvalue; against the latter I argue both that my critics’ own desire-theoretic accounts of pain's unpleasantness cannot accommodate such disvalue, and that my evaluativist view can—either by appealing to “anti-unpleasantness” desires or by exploiting pain's perceptuality. (shrink)

It has often been noticed that conciliatory views of disagreement are "self-undermining" in a certain way: advocates of such views cannot consistently maintain them when other philosophers disagree. This leads to apparent problems of instability and even inconsistency. Does self-undermining, then, show conciliationism untenable? If so, the untenablity would extend not only to almost all views of disagreement, but to a wide range of other views supporting what one might call epistemic modesty: roughly, the idea that getting evidence that one (...) has made an epistemic error in arriving at one’s opinion may require adjusting that opinion. This paper argues that the phenomenon of self-undermining does not disclose any defect in views mandating epistemic modesty. Instead, it highlights an uncomfortable but natural consequence of reflecting on one's own possible epistemic imperfections, a sort of reflection that tends to cause epistemic ideals to conflict. (shrink)

I argue that according to Socrates in the Phaedo we should not merely evaluate bodily pleasures and desires as worthless or bad, but actively avoid them. We need to avoid them because they change our values and make us believe falsehoods. This change in values and acceptance of falsehoods undermines the soul’s proper activity, making virtue and happiness impossible for us. I situate this account of why we should avoid bodily pleasures within Plato’s project in the Phaedo of providing Pythagorean (...) and Orphic ideas with clearer meanings and better justifications. (shrink)

Pain asymbolia is a rare condition caused by brain damage, usually in adulthood. Asymbolics feel pain but appear indifferent to it, and indifferent also to visual and verbal threats. How should we make sense of this? Nikola Grahek thinks asymbolics’ pains are abnormal, lacking a component that make normal pains unpleasant and motivating. Colin Klein thinks that what is abnormal is not asymbolics’ pains, but asymbolics: they have a psychological deficit making them unresponsive to unpleasant pain. I argue that an (...) illuminating account requires elements of both views. Asymbolic pains are indeed abnormal, but they are abnormal because asymbolics are. I agree with Klein that asymbolics are incapable of caring about their bodily integrity; but I argue against him that, if this is to explain not only their indifference to visual and verbal threat, but also their indifference to pain, we must do the following: (i) take asymbolics’ lack of bodily care not as an alternative to, but as an explanation of their pains’ missing a component, and (ii) claim that the missing component consists in evaluative content. Asymbolia, I conclude, reveals not only that unpleasant pain is composite, but that its ‘hedomotive component’ is evaluative. (shrink)

Musical works change. Bruckner revised his Eighth Symphony. Ella Fitzgerald and many other artists have made it acceptable to sing the jazz standard “All the Things You Are” without its original verse. If we accept that musical works genuinely change in these ways, a puzzle arises: why can’t I change Bruckner’s Eighth Symphony? More generally, why are some individuals in a privileged position when it comes to changing musical works and other artifacts, such as novels, films, and games? I give (...) a view of musical works that helps to answer these questions. Musical works, on this view, are created abstract objects with no parts. The paradigmatic changes that musical works undergo are socially determined normative changes in how they should be performed. Due to contingent social practices, Bruckner, but not I, can change how his symphony should be performed. Were social practices radically different, I would be able to change his symphony. This view extends to abstract artifacts beyond music, including novels, films, words, games, and corporations. (shrink)

Critics have argued that human-controlled avatar interactions fail to facilitate the kinds of expressivity and social understanding afforded by our physical bodies. We identify three claims meant to justify the supposed expressive limits of avatar interactions compared to our physical interactions. First, “The Limited Expressivity Claim”: avatars have a more limited expressive range than our physical bodies. Second, “The Inputted Expressivity Claim”: any expressive avatarial behaviour must be deliberately inputted by the user. Third, “The Decoding Claim”: users must infer or (...) figure out the expressive meaning of human-controlled avatars’ behaviour through cognitively onerous processes. With the aim of critically assessing all three claims, we analyze data collected through observations of and interviews with expert players of the avatar-based video game League of Legends. Focusing on Daniel Stern’s (2010) notion of vitality, we analyze the participants’ descriptions of seeing and interacting with other avatars during performance. Our analysis shows that the informants experience human-based avatarial interactions as qualitatively different than interactions with bots, that the informants see the movements of other players’ avatars as having different expressive styles, and that the informants actively use and manipulate this avatarial expressivity during performance. The results of our analysis, we argue, provide reasons for loosening or resisting the three claims concerning the limits of avatarial expressivity. (shrink)

Many philosophers think all abstract objects are causally inert. Here, focusing on novels, I argue that some abstracta are causally efficacious. First, I defend a straightforward argument for this view. Second, I outline an account of object causation—an account of how objects cause effects. This account further supports the view that some abstracta are causally efficacious.

We apply a familiar distinction from philosophy of language to a class of material artifacts that are sometimes said to “speak”: statues. By distinguishing how statues speak at the locutionary level versus at the illocutionary level, or what they say versus what they do, we obtain the resource for addressing two topics. First, we can explain what makes statues distinct from street art. Second, we can explain why it is mistaken to criticize—or to defend—the continuing presence of statues based only (...) on what they represent. Both explanations are driven by the same core idea: the significance of statues arises primarily from what they do, and not what they say. (shrink)

A natural view of testimony holds that a source's statements provide one with evidence about what the source believes, which in turn provides one with evidence about what is true. But some theorists have gone further and developed a broadly analogous view of memory. According to this view, which this essay calls the “diary model,” one's memory ordinarily serves as a means for one's present self to gain evidence about one's past judgments, and in turn about the truth. This essay (...) rejects the diary model's analogy between memory and testimony from one's former self, arguing first that memory and a diary differ with respect to their psychological roles, and second that this psychological difference underwrites important downstream epistemic differences. The resulting view stands opposed to prominent discussions of memory and testimony, which either, like the diary model, treat memory by analogy to what we naively wish to say about testimony, or which instead attempt to extend to testimony the epistemically preservative role of memory. (shrink)

Evaluativism is best thought of as a way of enriching a perceptual view of pain to account for pain’s unpleasantness or painfulness. Once it was common for philosophers to contrast pains with perceptual experiences (McGinn 1982; Rorty 1980). It was thought that perceptual experiences were intentional (or content-bearing, or about something), whereas pains were representationally blank. But today many of us reject this contrast. For us, your having a pain in your toe is a matter not of your sensing “pain-ly” (...) or encountering a sense-datum, but of your having an interoceptive experience representing (accurately or inaccurately) that your toe is in a particular experience-independent condition, such as undergoing a certain “disturbance” or being damaged or in danger (Armstrong 1962; Tye 1995). But even if such representational content makes an experience a pain, a further ingredient seems required to make the pain unpleasant. According to evaluativism, the further ingredient is the experience’s possession of evaluative content: its representing the bodily condition as bad for the subject. In this chapter, I elaborate evaluativism, locate it among alternatives, and explain its attractions and challenges. (shrink)

Abstract creationism about fictional characters is the view that fictional characters are abstract objects that authors create. I defend this view against criticisms from Stuart Brock that hitherto have not been adequately countered. The discussion sheds light on how the number of fictional characters depends on authorial intention. I conclude also that we should change how we think intentions are connected to artifacts more generally, both abstract and concrete.

This paper critically examines currently influential transparency accounts of our knowledge of our own beliefs that say that self-ascriptions of belief typically are arrived at by “looking outward” onto the world. For example, one version of the transparency account says that one self-ascribes beliefs via an inference from a premise to the conclusion that one believes that premise. This rule of inference reliably yields accurate self-ascriptions because you cannot infer a conclusion from a premise without believing the premise, and so (...) you cannot infer from a premise that you believe the premise unless you do believe it. I argue that this procedure cannot be a source of justification, however, because one can be justified in inferring from p that q only if p amounts to strong evidence that q is true. This is incompatible with the transparency account because p often is not very strong evidence that you believe that p. For example, unless you are a weather expert, the fact that it will rain is not very strong evidence that you believe it will rain. After showing how this intuitive problem can be made precise, I conclude with a broader lesson about the nature of inferential justification: that beliefs, when justified, must be underwritten by beliefs, when justified, must be underwritten by evidential relationships between the facts or propositions which those beliefs represent. (shrink)

Here, I put forth a construal of P. F. Strawson’s so-called reversal, his view that what it means to be morally responsible is determined by our practices of holding responsible. The “concern-based” construal that I defend holds that what it means to be morally responsible is determined by the basic social concerns of which our practices are an expression. This construal, I argue, avoids a dilemma that Patrick Todd has recently raised for the reversal.

I explain a tension between musical creationism (the view that musical works are abstract artifacts) and the view that there is no vague existence. I then suggest ways to reconcile these views. My central conclusion is that, although some versions of musical creationism imply vague existence, others do not. I discuss versions of musical creationism held by Jerrold Levinson, Simon Evnine, and Kit Fine. I also present two new versions. I close by considering whether the tension is merely an instance (...) of a general problem raised by artifacts, both abstract and concrete. I argue that on at least one defensible account of music the tension is especially problematic for abstracta. I focus on musical works, but much of the paper straightforwardly applies to other kinds of abstract artifacts. (shrink)

eSports practice designates a unique set of activities tethered to competitive, virtual environments, or worlds. This correlation between eSports practitioner and virtual world, we argue, is inadequately accounted for solely in terms of something physical or intellectual. Instead, we favor a perspective on eSports practice to be analyzed as a perceptual and embodied phenomenon. In this article, we present the phenomenological approach and focus on the embodied sensations of eSports practitioners as they cope with and perceive within their virtual worlds. (...) By approaching eSports phenomenologically, we uncover ways in which its unique forms of virtual involvement overlap with as well as differentiate themselves from traditional structures of embodiment. (shrink)

These days, just about every philosophical debate seems to generate a position labeledinternalism. The debate I will be joining in this essay concerns reasons for action and their connection, or lack of connection, to motivation. The internalist position in this debate posits a certain essential connection between reasons and motivation, while the externalist position denies such a connection. This debate about internalism overlaps an older debate between Humeans and Kantians about the exclusive reason-giving power of desires. As we will see, (...) however, while these debates overlap, the new debate is importantly different from the old debate. (shrink)

A quarter of a century ago, the first systematic behavioral experiments were performed to clarify the nature of color constancy—the effect whereby the perceived color of a surface remains constant despite changes in the spectrum of the illumination. At about the same time, new models of color constancy appeared, along with physiological data on cortical mechanisms and photographic colorimetric measurements of natural scenes. Since then, as this review shows, there have been many advances. The theoretical requirements for constancy have been (...) better delineated and the range of experimental techniques has been greatly expanded; novel invariant properties of images and a variety of neural mechanisms have been identified; and increasing recognition has been given to the relevance of natural surfaces and scenes as laboratory stimuli. Even so, there remain many theoretical and experimental challenges, not least to develop an account of color constancy that goes beyond deterministic and relatively simple laboratory stimuli and instead deals with the intrinsically variable nature of surfaces and illuminations present in the natural world. (shrink)

I argue that Meno’s Paradox targets the type of knowledge that Socrates has been looking for earlier in the dialogue: knowledge grounded in explanatory definitions. Socrates places strict requirements on definitions and thinks we need these definitions to acquire knowledge. Meno’s challenge uses Socrates’ constraints to argue that we can neither propose definitions nor recognize them. To understand Socrates’ response to the challenge, we need to view Meno’s challenge and Socrates’ response as part of a larger disagreement about the value (...) of inquiry. (shrink)

Is the societal-level of analysis sufficient today to understand the values of those in the global workforce? Or are individual-level analyses more appropriate for assessing the influence of values on ethical behaviors across country workforces? Using multi-level analyses for a 48-society sample, we test the utility of both the societal-level and individual-level dimensions of collectivism and individualism values for predicting ethical behaviors of business professionals. Our values-based behavioral analysis indicates that values at the individual-level make a more significant contribution to (...) explaining variance in ethical behaviors than do values at the societal-level. Implicitly, our findings question the soundness of using societal-level values measures. Implications for international business research are discussed. (shrink)

Compare your pain when immersing your hand in freezing water and your pleasure when you taste your favourite wine. The relationship seems obvious. Your pain experience is unpleasant, aversive, negative, and bad. Your experience of the wine is pleasant, attractive, positive, and good. Pain and pleasure are straightforwardly opposites. Or that, at any rate, can seem beyond doubt, and to leave little more to be said. But, in fact, it is not beyond doubt. And, true or false, it leaves a (...) good deal more to be said: about the nature of sensory affect; its relations to perception, motivation, and rationality; its value; and the mechanisms underlying it. Much is said about these matters in the contributions that follow. Here, in this introductory essay, we map the dialectical landscape and locate our contributors’ papers within it. (shrink)

Beach's Gaelic Symphony is plausibly an abstract object that Beach created. The view that people create some abstract objects is called abstract creationism. There are abstract creationists about many kinds of objects, including musical works, fictional characters, arguments, words, internet memes, installation artworks, bitcoins, and restaurants. Alternative theories include materialism and Platonism. This paper discusses some of the most serious objections against abstract creationism. Arguably, these objections have ramifications for questions in metaphysics pertaining to the abstract/concrete distinction, time, causation, vague (...) existence, vague identity, and inadvertent creation. (shrink)

Eleanor Knox has argued that our concept of spacetime applies to whichever structure plays a certain functional role in the laws (the role of determining local inertial structure). I raise two complications for this approach. First, our spacetime concept seems to have the structure of a cluster concept, which means that Knox's inertial criteria for spacetime cannot succeed with complete generality. Second, the notion of metaphysical fundamentality may feature in the spacetime concept, in which case spacetime functionalism may be uninformative (...) in the absence of answers to fundamental metaphysical questions like the substantivalist/relationist debate. (shrink)

Environmental health research produces scientific knowledge about environmental hazards crucial for public health and environmental justice movements that seek to prevent or reduce exposure to these hazards. The environment in environmental health research is conceptualized as the range of possible social, biological, chemical, and/or physical hazards or risks to human health, some of which merit study due to factors such as their probability and severity, the feasibility of their remediation, and injustice in their distribution. This paper explores the ethics of (...) identifying the relevant environment for environmental health research, as judgments involved in defining an environmental hazard or risk, judgments of that hazard or risk's probability, severity, and/ or injustice, as well as the feasibility of its remediation, all ought to appeal to non-epistemic as well as epistemic values. I illustrate by discussing the case of environmental lead, a housing-related hazard that remains unjustly distributed by race and class and is particularly dangerous to children. Examining a controversy in environmental health research ethics where researchers tested multiple levels of lead abatement in lead-contaminated households, I argue that the broader perspective on the ethics of environmental health research provided in the first part of this paper may have helped prevent this controversy. (shrink)

Categorical logic has shown that modern logic is essentially the logic of subsets (or "subobjects"). Partitions are dual to subsets so there is a dual logic of partitions where a "distinction" [an ordered pair of distinct elements (u,u′) from the universe U ] is dual to an "element". An element being in a subset is analogous to a partition π on U making a distinction, i.e., if u and u′ were in different blocks of π. Subset logic leads to finite (...) probability theory by taking the (Laplacian) probability as the normalized size of each subset-event of a finite universe. The analogous step in the logic of partitions is to assign to a partition the number of distinctions made by a partition normalized by the total number of ordered pairs |U|² from the finite universe. That yields a notion of "logical entropy" for partitions and a "logical information theory." The logical theory directly counts the (normalized) number of distinctions in a partition while Shannon's theory gives the average number of binary partitions needed to make those same distinctions. Thus the logical theory is seen as providing a conceptual underpinning for Shannon's theory based on the logical notion of "distinctions.". (shrink)

Priority Theory is an increasingly popular view in metaphysics. By seeing metaphysical questions as primarily concerned with what explains what, instead of merely what exists, it promises not only an interesting approach to traditional metaphysical issues but also the resolution of some outstanding disputes. In a recent paper, Louis deRosset argues that Priority Theory isn’t up to the task: Priority Theory is committed to there being explanations that violate a formal constraint on any adequate explanation. This paper critically examines deRosset’s (...) challenge to Priority Theory. We argue that deRosset’s challenge ultimately fails: his proposed constraint on explanation is neither well-motivated nor a general constraint. Nonetheless, lurking behind his criticism is a deep problem for prominent ways of developing Priority Theory, a problem which we develop. (shrink)

In this chapter, we argue that it’s possible to lose your faith in God by the actions of other people. In particular, we argue that spiritually violent religious trauma, where religious texts are used to shame a person into thinking themselves unworthy of God’s love, can cause a person to stop engaging in activities that sustain their faith in God, such as engaging in the worship of God. To do this, we provide an analysis of faith, worship, and love on (...) which to have faith in God is to have an attitude of worship to him; to have such an attitude of worship to God is to love him; and to love God is to desire union with him. We apply this analysis particularly to the case of LGBT Christians and their experience in the church today. (shrink)

Is the societal-level of analysis sufficient today to understand the values of those in the global workforce? Or are individual-level analyses more appropriate for assessing the influence of values on ethical behaviors across country workforces? Using multi-level analyses for a 48-society sample, we test the utility of both the societal-level and individual-level dimensions of collectivism and individualism values for predicting ethical behaviors of business professionals. Our values-based behavioral analysis indicates that values at the individual-level make a more significant contribution to (...) explaining variance in ethical behaviors than do values at the societal-level. Implicitly, our findings question the soundness of using societal-level values measures. Implications for international business research are discussed. (shrink)

This paper discusses ethical issues surrounding Integrated Assessment Models (IAMs) of the economic effects of climate change, and how climate economists acting as policy advisors ought to represent the uncertain possibility of catastrophe. Some climate economists, especially Martin Weitzman, have argued for a precautionary approach where avoiding catastrophe should structure climate economists’ welfare analysis. This paper details ethical arguments that justify this approach, showing how Weitzman’s “fat tail” probabilities of climate catastrophe pose ethical problems for widely used IAMs. The main (...) claim is that economists who ignore or downplay catastrophic risks in their representations of uncertainty likely fall afoul of ethical constraints on scientists acting as policy advisors. Such scientists have duties to honestly articulate uncertainties and manage (some) inductive risks, or the risks of being wrong in different ways. (shrink)

Liberal-contractarian philosophies of justice see the unjust systems of slavery and autocracy in the past as being based on coercion—whereas the social order in modern democratic market societies is based on consent and contract. However, the ‘best’ case for slavery and autocracy in the past were consent-based contractarian arguments. Hence, our first task is to recover those ‘forgotten’ apologia for slavery and autocracy. To counter those consent-based arguments, the historical anti-slavery and democratic movements developed a theory of inalienable rights. Our (...) second task is to recover that theory and to consider several other applications of the theory. Finally, the liberal theories of justice expounded by John Rawls and by Robert Nozick are briefly examined from this perspective. (shrink)

Kant’s account of the freedom gained through virtue builds on the Socratic tradition. On the Socratic view, when morality is our end, nothing can hinder us from attaining satisfaction: we are self-sufficient and free since moral goodness is (as Kant says) “created by us, hence is in our power.” But when our end is the fulfillment of sensible desires, our satisfaction requires luck as well as the cooperation of others. For Kant, this means that happiness requires that we get other (...) people to work for our ends; and this requires, in turn, that we gain control over the things other people value so as to have influence over them. If this plan for happiness is not subordinated to morality, then what is most valuable to us will be precisely what others value. This is the root of the “passions” that make us evil and make us slaves whose satisfaction depends on others. But, significantly, this dependence is a moral slavery and hence does not signal a loss, or even diminishment of the kind of freedom required for moral responsibility. (shrink)

I argue that the technique Socrates describes in the Meno at 86e-87c allows him to make progress without definitions, even while accepting that definitions are necessary for knowledge. Some contend that the technique involves provisionally accepting a claim. I argue, instead, that it provides a secure biconditional that one can use to reduce the question one cares care about to a new question that one thinks will be easier to answer.

It is common for theorists, drawing on P. F. Strawson, to account for morally responsible agency in terms of the nature of the emotions and feelings that characterize our responsibility practices, in terms of the nature of the so-called “reactive attitudes.” Here, I argue against this attitude-based Strawsonian strategy, and I argue in favor of an alternative, which I call the “concern-based Strawsonian strategy.” On this alternative, rather than account for morally responsible agency in terms of the nature of the (...) reactive attitudes, one accounts for such agency in terms of the concern that leaves us susceptible to those attitudes in the first place. This, I believe, is a more promising way to develop the Strawsonian approach than the attitude-based strategy. The concern-based strategy allows us to better countenance the number and variety of the reactive attitudes that characterize our responsibility practices; it shares the attitude-based strategy’s virtues; and it seems to position us to better understand the distinctive social and moral significance associated with being and being regarded as a morally responsible agent. (shrink)

Bernard Williams’ discussion of immortality in “The Makropulos Case: Reflections on the Tedium of Immortality” has spawned an entire philosophical literature. This literature tends to focus on one of Williams’ central claims: if we were to relinquish our mortality, we would necessarily become alienated from our existence and environment—“bored,” in his terms. Many theorists have defended this claim; many others have challenged it. Even if this claim is false, though, it still isn’t obvious that we should choose to relinquish our (...) mortality, given the option. And this is puzzling. Death is generally regarded as an evil, meriting anxiety, dread, and avoidance. What is it about our mortality that makes us hesitant to relinquish it? In this paper, I aim to explain this hesitancy and to argue in its favor: we should be hesitant to relinquish our mortality. Further, I take my discussion to suggest that most of us probably shouldn’t take this option if we were given it. To make these points, I draw on Williams’ discussion of immortality, developing and extending his thought in order to better understand how mortality shapes the way we relate to our lives, particularly the commitments and values that make them meaningful. Our mortality, it seems, plays a crucial role in our lives standing for something. Relinquishing it thus means risking the loss of this value. (shrink)

This paper examines whether Socrates provides his interlocutors with good reasons to seek knowledge of what virtue is, reasons that they are in a position to appreciate. I argue that in the Laches he does provide such reasons, but they are not the reasons that are most commonly identified as Socratic. Socrates thinks his interlocutors should be motivated not by the idea that virtue is knowledge nor by the idea that knowledge is good for its own sake, but rather by (...) the idea that knowledge is needed to recognize what to aim at. His argument reaches the potentially life-altering conclusion that we should all seek knowledge of what virtue is. It is powerful precisely because it relies on uncontroversial premises that his interlocutors could be expected to accept. In laying out this argument, I distinguish different ways in which someone could count as a teacher of virtue. At the end of the article, I situate the argument within the debate about whether virtue is teachable. (shrink)

After Marx, dissenting economics almost always used 'the labour theory' as a theory of value. This paper develops a modern treatment of the alternative labour theory of property that is essentially the property theoretic application of the juridical principle of responsibility: impute legal responsibility in accordance with who was in fact responsible. To understand descriptively how assets and liabilities are appropriated in normal production, a 'fundamental myth' needs to be cleared away, and then the market mechanism of appropriation can be (...) understood. On the normative side, neoclassical theory represents marginal productivity theory as showing that (a metaphorical version of) the imputation principle is satisfied ('people get what they produce') in competitive enterprises. Since that shows the moral commitment of neoclassical economics to the imputation principle, the labour theory of property is presented here as the actual non-metaphorical application of the imputation principle to property appropriation. The property-theoretic analysis at the firm level shows how the neoclassical (and much heterodox) analysis in terms of 'distributive shares' wholly misframed the basic questions. Finally, the paper shows how the imputation principle (modernised labour theory of property) is systematically violated in the present wage labour system of renting persons. The paper can be seen as taking up the recent challenge posed by Donald Katzner for a dialogue between neoclassical and heterodox microeconomics. (shrink)

This article argues that the Phaedo is written as a new sort of story of how a hero faces death; this story provides an alternative to existing tragedy, as understood by Plato. The opening of the Phaedo makes clear that two features that Plato closely associates with tragedy, pity and lamentation, are inappropriate responses to Socrates’ impending death, and that tuchē (chance) did not affect his happiness. This is the first step in the dialogue’s sustained engagement with tragedy. Tragedy for (...) Plato falls under the category of stories about heroes and gods. Plato wrote the Phaedo so that we would see Socrates as a philosophical hero, a replacement for traditional heroes such as Theseus or Heracles. I argue that in fact the Phaedo meets every requirement in Republic Books 2–3 for how to tell stories about heroes and gods and so belongs to the same broad category as tragedy. Within this framework, it tells its new story of how the true hero faces death. (shrink)

Logical information theory is the quantitative version of the logic of partitions just as logical probability theory is the quantitative version of the dual Boolean logic of subsets. The resulting notion of information is about distinctions, differences and distinguishability and is formalized using the distinctions of a partition. All the definitions of simple, joint, conditional and mutual entropy of Shannon information theory are derived by a uniform transformation from the corresponding definitions at the logical level. The purpose of this paper (...) is to give the direct generalization to quantum logical information theory that similarly focuses on the pairs of eigenstates distinguished by an observable, i.e., qudits of an observable. The fundamental theorem for quantum logical entropy and measurement establishes a direct quantitative connection between the increase in quantum logical entropy due to a projective measurement and the eigenstates that are distinguished by the measurement. Both the classical and quantum versions of logical entropy have simple interpretations as “two-draw” probabilities for distinctions. The conclusion is that quantum logical entropy is the simple and natural notion of information for quantum information theory focusing on the distinguishing of quantum states. (shrink)

The purpose of this paper is to show that the mathematics of quantum mechanics is the mathematics of set partitions linearized to vector spaces, particularly in Hilbert spaces. That is, the math of QM is the Hilbert space version of the math to describe objective indefiniteness that at the set level is the math of partitions. The key analytical concepts are definiteness versus indefiniteness, distinctions versus indistinctions, and distinguishability versus indistinguishability. The key machinery to go from indefinite to more definite (...) states is the partition join operation at the set level that prefigures at the quantum level projective measurement as well as the formation of maximally-definite state descriptions by Dirac’s Complete Sets of Commuting Operators. This development is measured quantitatively by logical entropy at the set level and by quantum logical entropy at the quantum level. This follow-the-math approach supports the Literal Interpretation of QM—as advocated by Abner Shimony among others which sees a reality of objective indefiniteness that is quite different from the common sense and classical view of reality as being “definite all the way down”. (shrink)

According to a traditional Cartesian epistemology of perception, perception does not provide one with direct knowledge of the external world. Instead, your immediate perceptual evidence is limited to facts about your own visual experience, from which conclusions about the external world must be inferred. Cartesianism faces well-known skeptical challenges. But this chapter argues that any anti-Cartesian view strong enough to avoid these challenges must license a way of updating one’s beliefs in response to anticipated experiences that seems diachronically irrational. To (...) avoid this result, the anti-Cartesian must either license an unacceptable epistemic chauvinism, or else claim that merely reflecting on one’s experiences defeats perceptual justification. This leaves us with a puzzle: Although Cartesianism faces problems, avoiding them brings a new set of problems. (shrink)

Mark David Webster ABSTRACT: Using qualitative methods, the author sought to better understand how philosophical assumptions about technology affect the thinking, and influence the decision making, of educational technology leaders in their professional practice. One of the research questions focused on examining whether assumptions of technological determinism were present in thinking and influenced the decisions that leaders make. The core category that emerged from data analysis, Keep up with technology (or be left behind), was interpreted to be a manifestation (...) of the technological imperative, an assumption associated with the philosophical perspective of technological determinism. The article presents a literature review and critique of philosophical issues surrounding technological determinism. Data analysis led to the conclusion that technology leaders working in K-12 education place weighted priority on the technological imperative, and there is philosophical tension between Keep up with technology (or be left behind), and a concurrently held perspective based on the logic of the instrumental view of technology. The findings suggest that different accounts of technological determinism, including Bimber’s three accounts of normative, nomological, and unintended consequences, are significant in the thinking of participants. School technology leaders placed priority on embracing technological change, sometimes adopting technology for its own sake. (shrink)

We argue that genuine modal realism can be extended, rather than modified, so as to allow for the possibility of nothing concrete, a possibility we term ‘metaphysical nihilism’. The issue should be important to the genuine modal realist because, not only is metaphysical nihilism itself intuitively plausible, but also it is supported by an argument with pre-theoretically credible premises, namely, the subtraction argument. Given the soundness of the subtraction argument, we show that there are two ways that the genuine modal (...) realist can accommodate metaphysical nihilism: (i) by allowing for worlds containing only spatiotemporal points and (ii) by allowing for a world containing nothing but the null individual. On methodological grounds, we argue that the genuine modal realist should reject the former way but embrace the latter way. (shrink)

Modern categorical logic as well as the Kripke and topological models of intuitionistic logic suggest that the interpretation of ordinary “propositional” logic should in general be the logic of subsets of a given universe set. Partitions on a set are dual to subsets of a set in the sense of the category-theoretic duality of epimorphisms and monomorphisms—which is reflected in the duality between quotient objects and subobjects throughout algebra. If “propositional” logic is thus seen as the logic of subsets of (...) a universe set, then the question naturally arises of a dual logic of partitions on a universe set. This paper is an introduction to that logic of partitions dual to classical subset logic. The paper goes from basic concepts up through the correctness and completeness theorems for a tableau system of partition logic. (shrink)

This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or toy model of quantum mechanics over sets (QM/sets). There have been several previous attempts to develop a quantum-like model with the base field of ℂ replaced by ℤ₂. Since there are no inner products on vector spaces over finite fields, the problem is to define the Dirac brackets and the probability calculus. The previous attempts (...) all required the brackets to take values in ℤ₂. But the usual QM brackets <ψ|ϕ> give the "overlap" between states ψ and ϕ, so for subsets S,T⊆U, the natural definition is <S|T>=|S∩T| (taking values in the natural numbers). This allows QM/sets to be developed with a full probability calculus that turns out to be a non-commutative extension of classical Laplace-Boole finite probability theory. The pedagogical model is illustrated by giving simple treatments of the indeterminacy principle, the double-slit experiment, Bell's Theorem, and identical particles in QM/Sets. A more technical appendix explains the mathematics behind carrying some vector space structures between QM over ℂ and QM/Sets over ℤ₂. (shrink)

The question of how people change artworks is important for the metaphysics of art. It’s relatively easy for anyone to change a painting or sculpture, but who may change a literary or musical work is restricted and varies with context. Authors of novels and composers of symphonies often have a special power to change their artworks. Mary Shelley revised Frankenstein, and Tchaikovsky revised his Second Symphony. I cannot change these artworks. In other cases, such as those involving jazz standards and (...) folk songs, performers and ordinary folks have more power to change artworks. My preferred explanation of these facts is the created-abstract-simples view, according to which literary and musical works, unlike paintings and sculptures, are created abstract objects that have no parts. On this view, the way to change a literary or musical work is for an individual, empowered by social practices, to change rules about how a literary work should be published or a musical work should be performed. A. R. J. Fisher and Caterina Moruzzi object that the created-abstract-simples view doesn’t allow for literary and musical works to genuinely change, and Nemesio Garcia-Carríl Puy objects that the view doesn’t allow for these artworks to be repeatable. This paper clarifies the created-abstract-simples view and defends the view against these objections. -/- . (shrink)