Equality and identity. Bulletin of Symbolic Logic. 19 (2013) 255-6. (Coauthor: Anthony Ramnauth) Also see https://www.academia.edu/s/a6bf02aaab This article uses ‘equals’ [‘is equal to’] and ‘is’ [‘is identical to’, ‘is one and the same as’] as they are used in ordinary exact English. In a logically perfect language the oxymoron ‘the numbers 3 and 2+1 are the same number’ could not be said. Likewise, ‘the number 3 and the number 2+1 are one number’ is just as bad from a logical point (...) of view. In normal English these two sentences are idiomatically taken to express the true proposition that ‘the number 3 is the number 2+1’. Another idiomatic convention that interferes with clarity about equality and identity occurs in discussion of numbers: it is usual to write ‘3 equals 2+1’ when “3 is 2+1” is meant. When ‘3 equals 2+1’ is written there is a suggestion that 3 is not exactly the same number as 2+1 but that they merely have the same value. This becomes clear when we say that two of the sides of a triangle are equal if the two angles they subtend are equal or have the same measure. -/- Acknowledgements: Robert Barnes, Mark Brown, Jack Foran, Ivor Grattan-Guinness, Forest Hansen, David Hitchcock, Spaulding Hoffman, Calvin Jongsma, Justin Legault, Joaquin Miller, Tania Miller, and Wyman Park. -/- ► JOHN CORCORAN AND ANTHONY RAMNAUTH, Equality and identity. Philosophy, University at Buffalo, Buffalo, NY 14260-4150, USA E-mail: [email protected] The two halves of one line are equal but not identical [one and the same]. Otherwise the line would have only one half! Every line equals infinitely many other lines, but no line is [identical to] any other line—taking ‘identical’ strictly here and below. Knowing that two lines equaling a third are equal is useful; the condition “two lines equaling a third” often holds. In fact any two sides of an equilateral triangle is equal to the remaining side! But could knowing that two lines being [identical to] a third are identical be useful? The antecedent condition “two things identical to a third” never holds, nor does the consequent condition “two things being identical”. If two things were identical to a third, they would be the third and thus not be two things but only one. The plural predicate ‘are equal’ as in ‘All diameters of a given circle are equal’ is useful and natural. ‘Are identical’ as in ‘All centers of a given circle are identical’ is awkward or worse; it suggests that a circle has multiple centers. Substituting equals for equals [replacing one of two equals by the other] makes sense. Substituting identicals for identicals is empty—a thing is identical only to itself; substituting one thing for itself leaves that thing alone, does nothing. There are as many types of equality as magnitudes: angles, lines, planes, solids, times, etc. Each admits unit magnitudes. And each such equality analyzes as identity of magnitude: two lines are equal [in length] if the one’s length is identical to the other’s. Tarski [1] hardly mentioned equality-identity distinctions (pp. 54-63). His discussion begins: -/- Among the logical concepts […], the concept of IDENTITY or EQUALITY […] has the greatest importance. -/- Not until page 62 is there an equality-identity distinction. His only “notion of equality”, if such it is, is geometrical congruence—having the same size and shape—an equivalence relation not admitting any unit. Does anyone but Tarski ever say ‘this triangle is equal to that’ to mean that the first is congruent to that? What would motivate him to say such a thing? This lecture treats the history and philosophy of equality-identity distinctions. [1] ALFRED TARSKI, Introduction to Logic, Dover, New York, 1995. [This is expanded from the printed abstract.] . (shrink)

The paper begins by reviewing two problems for fallibilism: the lottery problem, or the problem of explaining why fallible evidence, though otherwise excellent, is not enough to know that one will lose the lottery, and Gettier problems. It is then argued that both problems can be resolved if we note an important illocutionary force of knowledge attributions: namely, that when we attribute knowledge to someone we mean to give the person credit for getting things right. Alternatively, to say that a (...) person knows is to say that she got things right due to her own abilities, efforts and actions, rather than due to dumb luck, or blind chance, or something else. (shrink)

Loneliness in medicine is a serious problem not just for patients, for whom illness is intrinsically isolating, but also for physicians in the contemporary condition of medicine. We explore this problem by investigating the ideal physician-patient relationship, whose analogy with friendship has held enduring normative appeal. Drawing from Talbot Brewer and Nir Ben-Moshe, we argue that this appeal lies in a dynamic form of companionship incompatible with static models of friendship-like physician-patient relationships: a mutual refinement of embodied virtue that draws (...) both persons together. The ideal physician-patient relationship has a dialectical character that fosters each member's improvement of phenomenologically recognizing and embodying moral virtues. A key component of this dynamic is a commitment to the common goal of the patient's health, realized through joint interactivities and conversations over time. The physician's presence to the patient's suffering—understood best as an alienating phenomenological condition for the patient—orients and discloses possibilities for virtuous caregiving by structuring the meanings of the goals, conversations, and joint narrative constitutive of their relationship. Presence to suffering, paradoxically, is perhaps an important prerequisite for this dynamic partnership. These activities dialectically build an interpretive horizon of understanding through which moral goods and character refinement—in and for the other—may become revealed for both persons in their shared being-in-the-world. This analysis of suffering, mood, and revealing of (possible) moral goods has implications for addressing the modern problem of loneliness for patients and physicians, who are increasingly inhibited from building flourishing relationships with each other. (shrink)

To hold an environmental ethic is to hold that non-human beings and states of affairs in the natural world have intrinsic value. This seemingly straightforward claim has been the focus of much recent philosophical discussion of environmental issues. Its clarity is, however, illusory. The term ‘intrinsic value’ has a variety of senses and many arguments on environmental ethics suffer from a conflation of these different senses: specimen hunters for the fallacy of equivocation will find rich pickings in the area. This (...) paper is largely the work of the underlabourer. I distinguish different senses of the concept of intrinsic value, and, relatedly, of the claim that non-human beings in the natural world have intrinsic value; I exhibit the logical relations between these claims and examine the distinct motivations for holding them. The paper is not however merely an exercise in conceptual underlabouring. It also defends one substantive thesis: that while it is the case that natural entities have intrinsic value in the strongest sense of the term, i.e., in the sense of value that exists independently of human valuations, such value does not as such entail any obligations on the part of human beings. The defender of nature’s intrinsic value still needs to show that such value contributes to the well-being of human agents. (shrink)

Do aesthetic reasons have normative authority over us? Could there be anything like an aesthetic ‘ought’ or an aesthetic obligation? I argue that there are no aesthetic obligations. We have reasons to act certain ways regarding various aesthetic objects – most notably, reasons to attend to and appreciate those objects. But, I argue, these reasons never amount to duties. This is because aesthetic reasons are merely evaluative, not deontic. They can only entice us or invite us – they can never (...) compel us. Beauty gives us goods without shoulds. (shrink)

Does Anne Conway (1631–79) hold that the created world consists of a single underlying substance? Some have argued that she does; others have argued that she is a priority monist and so holds that there are many created substances, but the whole created world is ontologically prior to each particular creature. Against both of these proposals, this article makes the case for a substance pluralist interpretation of Conway: individual creatures are distinct substances, and the whole created world is not ontologically (...) prior to the individual creatures that compose it. The basic argument for such a view draws on Conway's claims about the freedom and moral responsibility of individual creatures. The pluralist reading is straightforwardly compatible with these claims, while the monistic readings are not. (shrink)

Perceptual Confidence is the view that perceptual experiences assign degrees of confidence. After introducing, clarifying, and motivating Perceptual Confidence, I catalogue some of its more interesting consequences, such as the way it blurs the distinction between veridical and illusory experiences, a distinction that is sometimes said to carry a lot of metaphysical weight. I also explain how Perceptual Confidence fills a hole in our best scientific theories of perception and why it implies that experiences don't have objective accuracy conditions.

Some ‘naturalist’ accounts of disease employ a biostatistical account of dysfunction, whilst others use a ‘selected effect’ account. Several recent authors have argued that the biostatistical account offers the best hope for a naturalist account of disease. We show that the selected effect account survives the criticisms levelled by these authors relatively unscathed, and has significant advantages over the BST. Moreover, unlike the BST, it has a strong theoretical rationale and can provide substantive reasons to decide difficult cases. This is (...) illustrated by showing how life-history theory clarifies the status of so-called diseases of old age. The selected effect account of function deserves a more prominent place in the philosophy of medicine than it currently occupies. _1_ Introduction _2_ Biostatistical and Selected Effect Accounts of Function _3_ Objections to the Selected Effect Account _3.1_ Boorse _3.2_ Kingma _3.3_ Hausman _3.4_ Murphy and Woolfolk _4_ Problems for the Biostatistical Account _4.1_ Schwartz _5_ Analysis versus Explication _6_ Explicating Dysfunction: Life History Theory and Senescence _7_ Conclusion. (shrink)

Mitochondrial DNA (mtDNA) diseases are a group of neuromuscular diseases that often cause suffering and premature death. New mitochondrial replacement techniques (MRTs) may offer women with mtDNA diseases the opportunity to have healthy offspring to whom they are genetically related. MRTs will likely be ready to license for clinical use in the near future and a discussion of the ethics of the clinical introduction ofMRTs is needed. This paper begins by evaluating three concerns about the safety of MRTs for clinical (...) use on humans: (1) Is it ethical to use MRTs if safe alternatives exist? (2) Would persons with three genetic contributors be at risk of suffering? and (3) Can society trust that MRTs will be made available for humans only once adequate safety testing has taken place, and that MRTs will only be licensed for clinical use in a way that minimises risks? It is then argued that the ethics debate about MRTs should be reoriented towards recommendingways to reduce the possible risks of MRT use on humans. Two recommendations are made: (1) licensed clinical access to MRTs should only be granted to prospective parents if they intend to tell their children about their MRT conception by adulthood; and (2) sex selection should be used in conjunction with the clinical use ofMRTs, in order to reduce transgenerational health risks. (shrink)

Many policies and ethical guidelines recommend developing “trustworthy AI”. We argue that developing morally trustworthy AI is not only unethical, as it promotes trust in an entity that cannot be trustworthy, but it is also unnecessary for optimal calibration. Instead, we show that reliability, exclusive of moral trust, entails the appropriate normative constraints that enable optimal calibration and mitigate the vulnerability that arises in high-stakes hybrid decision-making environments, without also demanding, as moral trust would, the anthropomorphization of AI and thus (...) epistemically dubious behavior. The normative demands of reliability for inter-agential action are argued to be met by an analogue to procedural metacognitive competence (i.e., the ability to evaluate the quality of one’s own informational states to regulate subsequent action). Drawing on recent empirical findings that suggest providing reliability scores (e.g., F1-scores) to human decision-makers improves calibration in the AI system, we argue that reliability scores provide a good index of competence and enable humans to determine how much they wish to rely on the system. (shrink)

In this paper Sullins argues that in certain circumstances robots can be seen as real moral agents. A distinction is made between persons and moral agents such that, it is not necessary for a robot to have personhood in order to be a moral agent. I detail three requirements for a robot to be seen as a moral agent. The first is achieved when the robot is significantly autonomous from any programmers or operators of the machine. The second is when (...) one can analyze or explain the robot's behavior only by ascribing to it some predisposition or 'intention' to do good or harm. And finally, robot moral agency requires the robot to behave in a way that shows and understanding of responsibility to some other moral agent. Robots with all of these criteria will have moral rights as well as responsibilities regardless of their status as persons. (shrink)

According to QBism, quantum states, unitary evolutions, and measurement operators are all understood as personal judgments of the agent using the formalism. Meanwhile, quantum measurement outcomes are understood as the personal experiences of the same agent. Wigner’s conundrum of the friend, in which two agents ostensibly have different accounts of whether or not there is a measurement outcome, thus poses no paradox for QBism. Indeed the resolution of Wigner’s original thought experiment was central to the development of QBist thinking. The (...) focus of this paper concerns two very instructive modifications to Wigner’s puzzle: One, a recent no-go theorem by Frauchiger and Renner, and the other a thought experiment by Baumann and Brukner. We show that the paradoxical features emphasized in these works disappear once both friend and Wigner are understood as agents on an equal footing with regard to their individual uses of quantum theory. Wigner’s action on his friend then becomes, from the friend’s perspective, an action the friend takes on Wigner. Our analysis rests on a kind of quantum Copernican principle: When two agents take actions on each other, each agent has a dual role as a physical system for the other agent. No user of quantum theory is more privileged than any other. In contrast to the sentiment of Wigner’s original paper, neither agent should be considered as in “suspended animation.” In this light, QBism brings an entirely new perspective to understanding Wigner’s friend thought experiments. (shrink)

In previous articles, it has been shown that the deductive system developed by Aristotle in his "second logic" is a natural deduction system and not an axiomatic system as previously had been thought. It was also stated that Aristotle's logic is self-sufficient in two senses: First, that it presupposed no other logical concepts, not even those of propositional logic; second, that it is (strongly) complete in the sense that every valid argument expressible in the language of the system is deducible (...) by means of a formal deduction in the system. Review of the system makes the first point obvious. The purpose of the present article is to prove the second. Strong completeness is demonstrated for the Aristotelian system. (shrink)

Perceptual Confidence is the view that our conscious perceptual experiences assign confidence. In previous papers, I motivated it using first-personal evidence (Morrison, 2016), and Jessie Munton motivated it using normative evidence (Munton, 2016). In this paper, I will consider the extent to which it is motivated by third-personal evidence. I will argue that the current evidence is supportive but not decisive. I will then describe experiments that might provide stronger evidence. I hope to thereby provide a roadmap for future research.

Philosophers have often noted a contrast between practical and theoretical reasons when it comes to cases involving equally balanced reasons. When there are strong practical reasons for A-ing, and equally strong practical reasons for some incompatible option, B-ing, the agent is permitted to make an arbitrary choice between them, having sufficient reason to A and sufficient reason to B. But when there is strong evidence for P and equally strong evidence for ~ P, one isn’t permitted to simply believe one (...) or the other. Instead, one must withhold belief, neither believing that P nor believing that ~ P. This paper examines what explains this contrast, focusing in particular on a proposal recently developed by Mark Schroeder across several papers. Schroeder aims to explain the contrast by an appeal to non-evidential, epistemic reasons against belief. But, I argue, it’s not clear exactly what those reasons are, nor how those reasons are to be weighed against evidential reasons. Despite these challenges, I argue that there are grounds for optimism that the contrast can be explained within the broad framework Schroeder provides, and I aim to provide resources to meet the aforementioned challenges. (shrink)

In the Tractatus Theologico-Politicus (TTP), Spinoza argues that an individual’s natural right extends as far as their power. Subsequently, in the Tractatus Politicus (TP), he offers a revised argument for the same conclusion. Here I offer an account of the reasons for the revision. In both arguments, an individual’s natural right derives from God’s natural right. However, the TTP argument hinges on the claim that each individual is part of the whole of nature (totius naturae), and for this reason inherits (...) part of the natural right of that whole. Using several analogous cases from the Ethics, I show that this form of argument from division is not compatible with Spinoza’s considered metaphysical views. The revised argument, by contrast, avoids the pitfalls of his earlier efforts. It also better reveals the deep roots by which the monistic metaphysics of the Ethics feeds into Spinoza’s conception of natural right. (shrink)

Country music has not gotten much attention in philosophy. I introduce two philosophical issues that country music raises. First, country music is simple. Some people might think that its simplicity makes country music worse; I argue that simplicity is aesthetically valuable. The second issue is country music’s ideal of authenticity; fans and performers think that country should be real or genuine in a particular way. But country music scholars have debunked the idea that country authenticity gets at anything real; widespread (...) ideas about country authenticity are rooted in a racist and fabricated picture of country music. In discussing these two issues, I highlight the importance of community in country music. (shrink)

I use an old challenge to motivate a new view. The old challenge is due to variation in our perceptions of secondary qualities. The challenge is to say whose perceptions are accurate. The new view is about how we manage to perceive secondary qualities, and thus manage to perceive them accurately or inaccurately. I call it perceptual structuralism. I first introduce the challenge and point out drawbacks with traditional responses. I spend the rest of the paper motivating and defending a (...) structuralist response. While I focus on color, both the challenge and the view generalize to the other secondary qualities. (shrink)

Certain passages in Kaplan’s ‘Demonstratives’ are often taken to show that non-vacuous sentential operators associated with a certain parameter of sentential truth require a corresponding relativism concerning assertoric contents: namely, their truth values also must vary with that parameter. Thus, for example, the non-vacuity of a temporal sentential operator ‘always’ would require some of its operands to have contents that have different truth values at different times. While making no claims about Kaplan’s intentions, we provide several reconstructions of how such (...) an argument might go, focusing on the case of time and temporal operators as an illustration. What we regard as the most plausible reconstruction of the argument establishes a conclusion similar enough to that attributed to Kaplan. However, the argument overgenerates, leading to absurd consequences. We conclude that we must distinguish assertoric contents from compositional semantic values, and argue that once they are distinguished, the argument fails to establish any substantial conclusions. We also briefly discuss a related argument commonly attributed to Lewis, and a recent variant due to Weber. (shrink)

We present Backward Clock, an original counterexample to Robert Nozick’s truth-tracking analysis of propositional knowledge, which works differently from other putative counterexamples and avoids objections to which they are vulnerable. We then argue that four ways of analysing knowledge in terms of safety, including Duncan Pritchard’s, cannot withstand Backward Clock either.

After a short preface, the first of the three sections of this paper is devoted to historical and philosophic aspects of categoricity. The second section is a self-contained exposition, including detailed definitions, of a proof that every mathematical system whose domain is the closure of its set of distinguished individuals under its distinguished functions is categorically characterized by its induction principle together with its true atoms (atomic sentences and negations of atomic sentences). The third section deals with applications especially those (...) involving the distinction between characterizing a system and axiomatizing the truths of a system. (shrink)

In “Perceptual Confidence,” I argue that our perceptual experiences assign degrees of confidence. In “Precision, not Confidence, Describes the Uncertainty of Perceptual Experience,” Rachel Denison disagrees. In this reply I first clarify what i mean by ‘perceptual experiences’, ‘assign’ and ‘confidence’. I then argue, contra Denison, that perception involves automatic categorization, and that there is an intrinsic difference between a blurry perception of a sharp image and a sharp perception of a blurry image. -/- .

This paper examines some recent arguments for internalism that (i) appeal to an analogy between practical and theoretical reasons, (ii) look toward our practices of reasoning with others, or (iii) tie reasons to good deliberation. The conclusion of this paper is a skeptical one: none of these new arguments gives us sufficient reason to think that internalism is true.

Anne Conway rejects the view that creatures are essentially members of any natural kind more specific than the kind 'creature'. That is, she rejects essentialism about species membership. This chapter provides an analysis of one of Anne Conway's arguments against such essentialism, which (as I argue) is drawn from metaethical rather than metaphysical premises. In her view, if a creature's species or kind were inscribed in its essence, that essence would constitute a limit on the creature's potential to participate in (...) the divine good. It is this consideration that ultimately leads her to reject essentialism about species membership. The chapter concludes with an examination of some of the metaethical consequences of Conway's view as well as a lesson it can teach us about ideal adviser accounts of the good. (shrink)

‘‘COGNITIVE ECOLOGY’’ is a fruitful model for Shakespearian studies, early modern literary and cultural history, and theatrical history more widely. Cognitive ecologies are the multidimensional contexts in which we remember, feel, think, sense, communicate, imagine, and act, often collaboratively, on the fly, and in rich ongoing interaction with our environments. Along with the anthropologist Edwin Hutchins,1 we use the term ‘‘cognitive ecology’’ to integrate a number of recent approaches to cultural cognition: we believe these approaches offer productive lines of engagement (...) with early modern literary and historical studies.2 The framework arises out of our work in extended mind and distributed cognition.3 The extended mind hypothesis arose from a post-connectionist philosophy of cognitive science. This approach was articulated in Andy Clark’s Being There: Putting Brain, Body, and World Together Again, and further developed by Susan Hurley and Mark Rowlands, among others.4 The distributed cognition approach arose independently, from work in cognitive anthropology, HCI (Human-Computer Interaction), the sociology of education and work, and science studies. The principles of distributed cognition were articulated in Hutchins’s ethnography of navigation, Cogni- tion in the Wild,5 and developed by theorists such as David Kirsh and Lucy Suchman.6 These models share an anti-individualist approach to cognition. In all these views, mental activities spread or smear across the boundaries of skull and skin to include parts of the social and material world. In remembering, decision making, and acting, whether individually or in small groups, our complex and structured activities involve many distinctive dimensions: neural, affective, kines-. (shrink)

In the exploratory study reported here, we tested the efficacy of an intervention designed to train teenagers with Möbius syndrome (MS) to increase the use of alternative communication strategies (e.g., gestures) to compensate for their lack of facial expressivity. Specifically, we expected the intervention to increase the level of rapport experienced in social interactions by our participants. In addition, we aimed to identify the mechanisms responsible for any such increase in rapport. In the study, five teenagers with MS interacted with (...) three naïve participants without MS before the intervention, and with three different naïve participants without MS after the intervention. Rapport was assessed by self-report and by behavioral coders who rated videos of the interactions. Individual non-verbal behavior was assessed via behavioral coders, whereas verbal behavior was automatically extracted from the sound files. Alignment was assessed using cross recurrence quantification analysis and mixed-effects models. The results showed that observer-coded rapport was greater after the intervention, whereas self-reported rapport did not change significantly. Observer-coded gesture and expressivity increased in participants with and without MS, whereas overall linguistic alignment decreased. Fidgeting and repetitiveness of verbal behavior also decreased in both groups. In sum, the intervention may impact non-verbal and verbal behavior in participants with and without MS, increasing rapport as well as overall gesturing, while decreasing alignment. (shrink)

Morality seems important, in the sense that there are practical reasons — at least for most of us, most of the time — to be moral. A central theoretical motivation for consequentialism is that it appears clear that there are practical reasons to promote good outcomes, but mysterious why we should care about non-consequentialist moral considerations or how they could be genuine reasons to act. In this paper we argue that this theoretical motivation is mistaken, and that because many arguments (...) for consequentialism rely upon it, the mistake substantially weakens the overall case for consequentialism. We argue that there is indeed a theoretical connection between good states and reasons to act, because good states are those it is fitting to desire and there is a conceptual connection between the fittingness of a motive and reasons to perform the acts it motivates. But while some of our motives are directed at states, others are directed at acts themselves. We contend that just as the fittingness of desires for states generates reasons to promote the good, the fittingness of these act-directed motives generates reasons to do other things. Moreover, we argue that an act’s moral status consists in the fittingness of act-directed feelings of obligation to perform or avoid performing it, so the connection between fitting motives and reasons to act explains reasons to be moral whether or not morality directs us to promote the good. This, we contend, de-mystifies how there could be non-consequentialist reasons that are both moral and practical. (shrink)

In the present article we attempt to show that Aristotle's syllogistic is an underlying logiC which includes a natural deductive system and that it isn't an axiomatic theory as had previously been thought. We construct a mathematical model which reflects certain structural aspects of Aristotle's logic. We examine the relation of the model to the system of logic envisaged in scattered parts of Prior and Posterior Analytics. Our interpretation restores Aristotle's reputation as a logician of consummate imagination and skill. Several (...) attributions of shortcomings and logical errors to Aristotle are shown to be without merit. Aristotle's logic is found to be self-sufficient in several senses: his theory of deduction is logically sound in every detail. (His indirect deductions have been criticized, but incorrectly on our account.) Aristotle's logic presupposes no other logical concepts, not even those of propositional logic. The Aristotelian system is seen to be complete in the sense that every valid argument expressible in his system admits of a deduction within his deductive system: every semantically valid argument is deducible. (shrink)

This paper seeks to identify the distinctive moral wrong of stalking and argues that this wrong is serious enough to criminalize. We draw on psychological literature about stalking, distinguishing types of stalkers, their pathologies, and victims. The victimology is the basis for claims about what is wrong with stalking. Close attention to the experiences of victims often reveals an obsessive preoccupation with the stalker and what he will do next. The kind of harm this does is best understood in relation (...) to the value of privacy and conventionally protected zones of privacy. We compare anti-stalking laws in different jurisdictions, claiming that they all fail in some way to capture the distinctive privacy violation that stalking involves. Further reflection on the seriousness of the invasion of privacy it represents suggests that it is a deeply personal wrong. Indeed, it is usually more serious than obtrusive surveillance by states, precisely because it is more personal. Where state surveillance genuinely is as intrusive as stalking, it tends to adopt the tactics of the stalker, imposing its presence on the activist victim at every turn. Power dynamics —whether rooted in the power of the state or the violence of a stalker —may exacerbate violations of privacy, but the wrong is distinct from violence, threats of violence and other aggression. Nor is stalking a simple expression of a difference in power between stalker and victim, such as a difference due to gender. (shrink)

This paper considers the formulation of the moral requirement against hypocrisy, paying particular attention to the logical scope of ‘requires’ in that formulation. The paper argues (i) that we should prefer a wide-scope formulation to a narrow-scope formulation, and (ii) this result has some advantages for our normative theorizing about hypocrisy – in particular, it allows us to resist several of Daniela Dover’s (2019) recent arguments against the anti-hypocrisy requirement.

It is proposed that our memory is made up of individual, unconnected Records, to each of which is attached a Heading. Retrieval of a Record can only be accomplished by addressing the attached Heading, the contents of which cannot itself be retrieved. Each Heading is made up of a mixture of content in more or less literal form and context, the latter including specification of environment and of internal states (e.g. drug states and mood). This view of memory allows an (...) easy account of a number of natural memory phenomena as well as a variety of laboratory findings such as the differences between recall and recognition. The theory further proposes that Headed Records can neither be deleted nor modified. Data apparently against such a hypothesis can be accounted for in terms of the retrieval process. (shrink)

According to anti-atomism, we represent color properties (e.g., red) in virtue of representing color relations (e.g., redder than). I motivate anti-atomism with a puzzle involving a series of pairwise indistinguishable chips. I then develop two versions of anti-atomism.

Spinoza’s claims about true ideas are central to the Treatise on the Emendation of the Intellect. It is therefore worth trying to reconstruct what he means when he says that an idea is true. I argue that the three leading interpretations – correspondence, coherence, and causal – don’t explain key passages. I then propose a new interpretation. Roughly, I propose that an idea is true if and only if it represents an essence and was derived in the right kind of (...) way by the intellect from an innate idea of one’s own essence. In the final section I sketch why I believe this interpretation extends to his claims about truth and adequacy in the Ethics. (shrink)

Spinoza claims that a person’s mind and body are one and the same. But he also claims that minds think and do not move, whereas bodies move and do not think. How can we reconcile these claims? I believe that Spinoza is building on a traditional view about identity over time. According to this view, identity over time is linked to essence, so that a thing that is now resting is identical to a thing that was previously moving, provided that (...) they share the same essence. I believe that Spinoza has a similar view about the identity of minds and bodies. In particular, a thing that is thinking in the attribute of thought is identical to a thing that is moving in the attribute of extension, provided that they share the same essence. (shrink)

Spinoza's causal axiom is at the foundation of the Ethics. I motivate, develop and defend a new interpretation that I call the ‘causally restricted interpretation’. This interpretation solves several longstanding puzzles and helps us better understand Spinoza's arguments for some of his most famous doctrines, including his parallelism doctrine and his theory of sense perception. It also undermines a widespread view about the relationship between the three fundamental, undefined notions in Spinoza's metaphysics: causation, conception and inherence.

In this paper I will take it for granted that Zagzebski's position articulates a broadly Catholic perspective, and that Plantinga's position accurately represents a broadly Calvinist one. But I will argue that so construed, the Catholic and the Calvinist are much closer than Zagzebski implies: both views are person-based in an important sense of that term; both are internalist on Zagzebski's usage and externalist on the standard usage; and Plantinga's position is consistent with the social elements that Zagzebski stresses in (...) her view. In the second part of the paper I will identify what I think is the real issue between Zagzebski and Plantinga. Namely, Zagzebski thinks that knowledge requires epistemic responsibility, in the sense that instances of knowledge must be appropriately praiseworthy. Plantinga thinks that no such condition is required for knowledge or warranted belief. I will argue that on this issue Zagzebski is right, and that her virtue approach gives us resources for seeing why. Finally, I will look at the consequences for religious knowledge. Here I will argue that the consequences are minimal. Even if knowledge requires responsibility, Plantinga can still make a good case that religious belief is properly basic. And even if religious belief is properly basic, natural theology can still have an important role in the justification of religious belief. (shrink)

Conception and causation are fundamental notions in Spinoza's metaphysics. I argue against the orthodox view that, due to the causal axiom, if one thing is conceived through another thing, then the second thing causes the first thing. My conclusion forces us to rethink Spinoza's entitlement to some of his core commitments, including the principle of sufficient reason, the parallelism doctrine and the conatus doctrine.

The appearance of negative terms in quasiprobability representations of quantum theory is known to be inevitable, and, due to its equivalence with the onset of contextuality, of central interest in quantum computation and information. Until recently, however, nothing has been known about how much negativity is necessary in a quasiprobability representation. Zhu :120404, 2016) proved that the upper and lower bounds with respect to one type of negativity measure are saturated by quasiprobability representations which are in one-to-one correspondence with the (...) elusive symmetric informationally complete quantum measurements. We define a family of negativity measures which includes Zhu’s as a special case and consider another member of the family which we call “sum negativity.” We prove a sufficient condition for local maxima in sum negativity and find exact global maxima in dimensions 3 and 4. Notably, we find that Zhu’s result on the SICs does not generally extend to sum negativity, although the analogous result does hold in dimension 4. Finally, the Hoggar lines in dimension 8 make an appearance in a conjecture on sum negativity. (shrink)

Mathematical modeling offers a promising approach to improving mathematics education. This study aims to determine if the concept of metacognitive awareness in the learning process is associated with mathematical modeling. This study also considers the interaction effect of sex and academic year level on both variables. Focusing the study on preservice elementary teachers might address potential issues and targeted intervention in their preparation program concerning their ability to teach and guide young learners in modeling activities. The research sample includes 140 (...) preservice elementary teachers at Central Luzon State University, Philippines. Data collection used an adapted metacognitive awareness inventory and a validated researcher-made mathematical modeling competency test aligned with the K-12 mathematics curriculum in the Philippines. Results revealed that the preservice elementary teachers had a high metacognitive awareness and mathematical modeling competency, ranging from 22 to 31 out of 36 points. Besides, Factorial ANOVA indicates that academic year level positively affects both variables regardless of sex, and stepwise regression analysis unveiled that information management, declarative knowledge, and planning significantly predict 41.4% of the mathematical modeling competency variance. This suggests that developing metacognitive awareness supports preservice elementary teachers in performing modeling tasks that improve their competency level in mathematics. (shrink)

I suggest a solution to two puzzles in Spinoza's metaphysics. The first puzzle involves the mind and the idea of the mind, in particular how they can be identical, even though the mind thinks about bodies and nothing else, whereas the idea of the mind thinks about ideas and nothing else. The second puzzle involves the mind and the idea of a thing that belongs to an unknown attribute, in particular how they can be identical, even though the mind thinks (...) about bodies and nothing else, whereas the idea thinks about things belonging to the unknown attribute and nothing else. I suggest that Spinoza would respond to both puzzles by rejecting the Indiscernibility of Identicals. (shrink)

Part 1 of this exchange consists in a critique by Smith of Searle’s The Construction of Social Reality focusing on Searle’s use of the formula ‘X counts as Y in context C’. Smith argues that this formula works well for social objects such as dollar bills and presidents where the corresponding X terms (pieces of paper, human beings) are easy to identify. In cases such as debts and prices and money in a banks computers, however, the formula fails, because these (...) are cases of what he calls ‘free-standing Y terms’, since there is here no X which can count as the corresponding Y. In his response in Part 2, Searle argues that Smith’s critique rests on three misunderstandings: 1. in wrongly presupposing that Searle is trying to analyze the nature of what he calls “social objects”, rather than of social facts; 2. in thinking that the counts as formula is intended as a definition, rather than as a mere mnemonic; and 3. in neglecting the naturalism of Searle’s account. (shrink)

Some moral disagreements are so persistent that we suspect they are deep : we would disagree even when we have all relevant information and no one makes any mistakes. The possibility of deep disagreement is thought to drive cognitivists toward relativism, but most cognitivists reject relativism. There is an alternative. According to divergentism, cognitivists can reject relativism while allowing for deep disagreement. This view has rarely been defended at length, but many philosophers have implicitly endorsed its elements. I will defend (...) it. (shrink)

Causal theories of perception typically have problems in explaining deviant causal chains. They also have difficulty with other unusual putative cases of perception involving prosthetic aids, defective perception, scientifically extended cases of perception, and so on. But I show how a more adequate reflexive causal theory, in which objects or properties X cause a perceiver to acquire X-related dispositions toward that very same item X, can provide a plausible and principled perceptual explanation of all of these kinds of cases. A (...) critical discussion of David Lewis's perceptual descriptivist views is also provided, including a defense of the logical possibility of systematic misperception or perceptual error for a perceiver, in spite of its empirical improbability. (shrink)

The initial argument presented herein is not significantly original—it is a simple reflection upon a notion of computation originally developed by Putnam and criticised by Chalmers et al. . In what follows, instead of seeking to justify Putnam’s conclusion that every open system implements every Finite State Automaton and hence that psychological states of the brain cannot be functional states of a computer, I will establish the weaker result that, over a finite time window every open system implements the trace (...) of FSA Q, as it executes program on input . If correct the resulting bold philosophical claim is that phenomenal states—such as feelings and visual experiences—can never be understood or explained functionally. (shrink)