Henry More argues that materialism cannot account for cases where a single subject or perceiver has multiple perceptions simultaneously. Since we clearly do have multiple perceptions at the same time--for example, when we see, hear, and smell simultaneously--More concludes that we are not wholly material. In response to More's argument, Margaret Cavendish adopts a two-fold strategy. First, she argues that there is no general obstacle to mental unification in her version of materialism. Second, Cavendish appeals to the mind or rational (...) matter--terms she often uses interchangeably—to explain the integration of sensory input from multiple senses. When the mind integrates perceptions across modalities, the different parts of rational matter share their knowledge so that they all come to perceive alike. When rational parts successfully communicate their knowledge, each part knows what all the others know. They pool their knowledge; they perceive alike. Thus, when someone hears, sees, and tastes, each part of her mind hears, sees, and tastes alike, in parallel and in unison. The Cavendishian mind, in short, approximates simplicity by achieving uniformity or homogeneity of perceptions across its parts. (shrink)

A satisfactory theory of linguistic communication must explain how it is that, through the interpersonal exchange of auditory, visual, and tactile stimuli, the communicative preconditions for the acquisition of testimonial knowledge regularly come to be satisfied. Without an account of knowledge-yielding communication this success condition for linguistic theorizing is left opaque, and we are left with an incomplete understanding of testimony, and communication more generally, as a source of knowledge. This paper argues that knowledge-yielding communication should be modelled on knowledge (...) itself. It is argued that knowledge-yielding communication occurs iff interlocutors coordinate on truth values in a non-lucky and non-deviant way. This account is able to do significant explanatory work: it sheds light on the nature of referential communication, and it allows us to capture, in an informative way, the sense in which interlocutors must entertain similar propositions in order to communicate successfully. (shrink)

Despite his reputation for neglecting the body, Descartes develops a systematic account of bodily awareness. He holds that in bodily awareness each of us feels intimately connected to our body. We experience this body as inescapable, as infused with bodily sensations and volitions, and as a special object of concern. This multifaceted experience plays an ambivalent role in Descartes’s philosophy. Bodily awareness is epistemically dangerous. It tempts us to falsely judge that we cannot exist apart from our bodies. But bodily (...) awareness isn’t all bad for Descartes. It helps us stay alive. Bodily awareness also serves as a corrective to overly disembodied conceptions of the self. (shrink)

In this paper I argue that the enkratic principle in its classic formulation may not be a requirement of rationality. The investigation of whether it is leads to some important methodological insights into the study of rationality. I also consider the possibility that we should consider rational requirements as a subset of a broader category of agential requirements.

Consider the distinctive qualitative property grass visually appears to have when it visually appears to be green. This property is an example of what I call sensuous color. Whereas early modern mechanists typically argue that bodies are not sensuously colored, Margaret Cavendish (1623–73) disagrees. In cases of veridical perception, she holds that grass is green in precisely the way it visually appears to be. In defense of her realist approach to sensuous colors, Cavendish argues that (i) it is impossible to (...) conceive of colorless bodies, (ii) the very possibility of color experience requires that bodies are sensuously colored, and (iii) the attribution of sensuous colors to bodies provides the best explanation of color constancy. Although some passages might suggest that Cavendish endorses a reductive account of sensuous color, according to which sensuous color reduces to a body's microscopic surface texture (or some other mechanistically respectable property), I argue that she accepts a nonreductive account, on which sensuous color is not thus reducible. (shrink)

Kant holds that in order to have knowledge of an object, a subject must be able to “prove” that the object is really possible—i.e., prove that there is neither logical inconsistency nor “real repugnance” between its properties. This is (usually) easy to do with respect to empirical objects, but (usually) impossible to do with respect to particular things-in-themselves. In the first section of the paper I argue that an important predecessor of Kant’s account of our ignorance of real possibility can (...) be found in Locke’s Essay Concerning Human Understanding. In the middle sections I discuss the way in which our inability to prove the real possibility of things-in-themselves motivates Kant’s famous prohibition on certain kinds of knowledge-claims about them. In the final section I examine Hegel’s attempts to dissolve this problem of real repugnance and thereby remove an inherited obstacle to speculative knowledge of the supersensible. -/- . (shrink)

In the _Meditations_ and related texts from the early 1640s, Descartes argues that the self can be correctly considered as either a mind or a human being, and that the self’s properties vary accordingly. For example, the self is simple considered as a mind, whereas the self is composite considered as a human being. Someone might object that it is unclear how merely considering the self in different ways blocks the conclusion that a single subject of predication—the self—is both simple (...) and composite, which is contradictory. In response to this objection, this paper develops a reading of Descartes’s various ways of considering the self. I argue that the best reading of Descartes’s qualified claims about the self, i.e., about the self _qua_ mind or the self qua human being, presupposes an account of the unqualified self, that is, of the self _simpliciter_. I argue that the self _simpliciter_ is not a mind, and that it is not a human being either. This result might suggest the pessimistic conclusion that Descartes’s view of the self is incoherent. To avoid this result, I introduce a new metaphysical account of the Cartesian self. On my view, the self is individuated by a unified mental life. The self is constituted by the beings that jointly produce this mental life, and derives its unity from it. (shrink)

Empirical work has lately confirmed what many philosophers have taken to be true: people are ‘biased toward the future’. All else being equal, we usually prefer to have positive experiences in the future, and negative experiences in the past. According to one hypothesis, the temporal metaphysics hypothesis, future-bias is explained either by our beliefs about temporal metaphysics—the temporal belief hypothesis—or alternatively by our temporal phenomenology—the temporal phenomenology hypothesis. We empirically investigate a particular version of the temporal belief hypothesis according to (...) which future-bias is explained by the belief that time robustly passes. Our results do not match the apparent predictions of this hypothesis, and so provide evidence against it. But we also find that people give more future-biased responses when asked to simulate a belief in robust passage. We take this to suggest that the phenomenology that attends simulation of that belief may be partially responsible for future-bias, and we examine the implications of these results for debates about the rationality of future-bias. (shrink)

Empirical evidence suggests that a majority of people believe that time robustly passes, and that many also report that it seems to them, in experience, as though time robustly passes. Non-dynamists deny that time robustly passes, and many contemporary non-dynamists—deflationists—even deny that it seems to us as though time robustly passes. Non-dynamists, then, face the dual challenge of explaining why people have such beliefs and make such reports about their experiences. Several philosophers have suggested the stable-self explanation, according to which (...) what partly explains one or both of the explananda is that people believe themselves to have a stable persisting self which is imagined either as moving through time, or as being stationary, with time moving around it. This paper empirically investigates this explanation. We found, however, no evidential support for the stable-self explanation, leaving the non-dynamist but also, we will argue, the dynamist, with an extant explanatory challenge. (shrink)

This is a discussion of the state of discussion on pragmatic reasons for belief.

This essay considers Kant’s theory of modality in light of a debate in contemporary modal metaphysics and modal logic concerning the Barcan formulas. The comparison provides a new and fruitful perspective on Kant’s complex and sometimes confusing claims about possibility and necessity. Two central Kantian principles provide the starting point for the comparison: that the possible must be grounded in the actual and that existence is not a real predicate. Both are shown to be intimately connected to the Barcan formulas, (...) and Kant’s views on what he distinguishes as three different kinds of modality are then considered in light of this connection. (shrink)

How is it that a speaker _S_ can at once make it obvious to an audience _A_ that she intends to communicate some proposition _p_, and yet at the same time retain plausible deniability with respect to this intention? The answer is that _S_ can bring it about that _A_ has a high justified credence that ‘_S_ intended _p_’ without putting _A_ in a position to know that ‘_S_ intended _p_’. In order to achieve this _S_ has to exploit a (...) sense in which communication can be lottery-like. After defending this view of deniability I argue that it compares favorably to a rival account recently developed by Dinges and Zakkou (Mind, https://doi.org/10.1093/mind/fzac056, 2023 ). (shrink)

Malebranche holds that the feeling of having a body comes in three main varieties. A perceiver sensorily experiences herself (1) as causally connected to her body, in so far as the senses represent the body as causing her sensory experiences and as uniquely responsive to her will, (2) as materially connected to her body, in so far as the senses represent the perceiver as a material being wrapped up with the body, and (3) as perspectivally connected to her body, in (...) so far as the external senses represent the world from the body’s perspective. In addition to distinguishing these varieties of embodied experience, I explain why the perceiver experiences her connection to the body in these ways. Although Malebranche often casts the experience of embodiment in a negative light, his considered view is that this experience contributes to our survival and salvation. (shrink)

This paper argues that underlying social biases are able to affect the processes underlying linguistic interpretation. The result is a series of harms systematically inflicted on marginalised speakers. It is also argued that the role of biases and stereotypes in interpretation complicates Miranda Fricker's proposed solution to epistemic injustice.

The fallacy fallacy is either the misdiagnosis of fallacy or the supposition that the conclusion of a fallacy must be a falsehood. This paper explores the relevance of these and related errors of reasoning for the appraisal of arguments, especially within virtue theories of argumentation. In particular, the fallacy fallacy exemplifies the Owl of Minerva problem, whereby tools devised to understand a norm make possible new ways of violating the norm. Fallacies are such tools and so are vices. Hence a (...) similar problem arises with argumentative vices. Fortunately, both instances of the problem have a common remedy. (shrink)

Virtue theories of argumentation (VTA) emphasize the roles arguers play in the conduct and evaluation of arguments, and lay particular stress on arguers’ acquired dispositions of character, that is, virtues and vices. The inspiration for VTA lies in virtue epistemology and virtue ethics, the latter being a modern revival of Aristotle’s ethics. Aristotle is also, of course, the father of Western logic and argumentation. This paper asks to what degree Aristotle may thereby be claimed as a forefather by VTA.

An important advance in normativity research over the last decade is an increased understanding of the distinction, and difference, between normativity and rationality. Normativity concerns or picks out a broad set of concepts that have in common that they are, put loosely, guiding. For example, consider two commonly used normative concepts: that of a normative reason and that of ought. To have a normative reason to perform some action is for there to be something that counts in favour of performing (...) that action. Likewise with ought, when there is sufficient evidence for something, one ought to believe it (at least under normal circumstances). Not all guidance need be directed towards a specific state or a specific action. Subject to the requirements of normativity, too, are relations. It is commonly believed, for example, that we ought not to hold contradictory beliefs.1 At least some of the requirements that concern relations amongst an agent’s mental states are, or seem, distinctive. Agents who fail to satisfy these requirements are considered, at least to some degree, irrational. On many current views, being irrational is distinct in some way from not being how one ought to be; rationality is a concept distinct from normativity. Much of the literature on this topic over the last decade stems from attempts to capture the characteristic features of the requirements of rationality. Two influential views in particular did much to set the agenda. The first of these two was put forward John Broome.2 His view, the particulars of which I shall discuss in more detail below, is that the requirements of rationality could be expressed using a normative relation, which he calls a ‘normative requirement’. Normative requirements are conditionals governed by an all-thingsconsidered ought. In the case of rationality, the conditional is made up entirely of mental states.. (shrink)

David Lewis—famously—never tasted vegemite. Did he have any knowledge of what it's like to taste vegemite? Most say 'no'; I say 'yes'. I argue that knowledge of what it’s like varies along a spectrum from more exact to more approximate, and that phenomenal concepts vary along a spectrum in how precisely they characterize what it’s like to undergo their target experiences. This degreed picture contrasts with the standard all-or-nothing picture, where phenomenal concepts and phenomenal knowledge lack any such degreed structure. (...) I motivate the degreed picture by appeal to (1) limits in epistemic abilities such as recognition, imagination, and inference, and (2) the semantics of ‘knows what it’s like’ expressions. I argue that approximate phenomenal knowledge cannot be explained merely via determinable or vague phenomenal concepts. I develop a framework for systematizing approximate knowledge of phenomenal character. And I explain how my view challenges some standard assumptions about the acquisition conditions, requirements for mastery, and referential mechanisms of phenomenal concepts. (shrink)

Malebranche holds that visual experience represents the size of objects relative to the perceiver's body and does not represent objects as having intrinsic or nonrelational spatial magnitudes. I argue that Malebranche's case for this body-relative thesis is more sophisticated than other commentators—most notably, Atherton and Simmons —have presented it. Malebranche's central argument relies on the possibility of perceptual variation with respect to size. He uses two thought experiments to show that perceivers of different sizes—namely, miniature people, giants, and typical human (...) beings—can experience the very same objects as having radically different sizes. Malebranche argues that there is no principled reason to privilege one of these ways of experiencing size over the others and, more specifically, that all three kinds of perceivers experience size veridically. From the possibility of this kind of veridical perceptual variation, Malebranche infers that visual experience represents only body-relative size. (shrink)

Disagreements that resist rational resolution, often termed “deep disagreements”, have been the focus of much work in epistemology and informal logic. In this paper, I argue that they also deserve the attention of philosophers of mathematics. I link the question of whether there can be deep disagreements in mathematics to a more familiar debate over whether there can be revolutions in mathematics. I propose an affirmative answer to both questions, using the controversy over Shinichi Mochizuki’s work on the abc conjecture (...) as a potential example of both phenomena. I conclude by investigating the prospects for the resolution of mathematical deep disagreements in virtue-theoretic approaches to informal logic and mathematical practice. (shrink)

In this chapter, I present and explore various arguments for skepticism that are related to memory. My focus will be on the aspects of the arguments that are unique to memory, which are not shared, for example, by the more often explored skeptical arguments related to perception. -/- Here are some interesting upshots. First, a particular problem for justifiably concluding that one's memory is reliable is that any reasoning in favor of this conclusion will either result in epistemically circularity or (...) not be sufficient to justify the conclusion. Second, since many beliefs stored in memory do not appear to be based on evidence, it might also appear to follow that they are not justified. Third, although many stored memory beliefs are not based on stored memory experiences in the same way that perceptual beliefs are based on perceptual experiences, skeptical scenarios loom just as problematically for memory beliefs as they do for perceptual beliefs. (shrink)

I argue that assertoric content functions as a means for us to track the responsibilities undertaken by communicators, and that distinctively assertoric commitments are distinguished by being generated directly in virtue of the words the speaker uses. This raises two questions: (a) Why are speakers responsible for the content thus generated? (b) Why is it important for us to distinguish between commitments in terms of their manner of generation? I answer the first question by developing a novel responsibility based metasemantics. (...) I answer the second by reference to the conflicting pressures governing the resources we have available for appraising speech. (shrink)

A famous mathematical theorem says that the sum of an infinite series of numbers can depend on the order in which those numbers occur. Suppose we interpret the numbers in such a series as representing instances of some physical quantity, such as the weights of a collection of items. The mathematics seems to lead to the result that the weight of a collection of items can depend on the order in which those items are weighed. But that is very hard (...) to believe. A puzzle then arises: How do we interpret the metaphysical significance of this mathematical theorem? I first argue that prior solutions to the puzzle lead to implausible consequences. Then I develop my own solution, where the basic idea is that the weight of a collection of items is equal to the limit of the weights of its finite subcollections contained within ever-expanding regions of space. I show how my solution is intuitively plausible and philosophically motivated, how it reveals an underexplored line of metaphysical inquiry about quantities and locations, and how it elucidates some classic puzzles concerning supertasks. (shrink)

Is a human more conscious than an octopus? In the science of consciousness, it’s oftentimes assumed that some creatures (or mental states) are more conscious than others. But in recent years, a number of philosophers have argued that the notion of degrees of consciousness is conceptually confused. This paper (1) argues that the most prominent objections to degrees of consciousness are unsustainable, (2) examines the semantics of ‘more conscious than’ expressions, (3) develops an analysis of what it is for a (...) degreed property to count as degrees of consciousness, and (4) applies the analysis to various theories of consciousness. I argue that whether consciousness comes in degrees ultimately depends on which theory of consciousness turns out to be correct. But I also argue that most theories of consciousness entail that consciousness comes in degrees. (shrink)

A number of `no-proposition' approaches to the liar paradox find themselves implicitly committed to a moderate disquotational principle: the principle that if an utterance of the sentence `$P$' says anything at all, it says that $P$ (with suitable restrictions). I show that this principle alone is responsible for the revenge paradoxes that plague this view. I instead propose a view in which there are several closely related language-world relations playing the `semantic expressing' role, none of which is more central to (...) semantic theorizing than any other. I use this thesis about language and the negative result about disquotation to motivate the view that people do say things with utterances of paradoxical sentences, although they do not say the proposition you'd always expect, as articulated with a disquotational principle. (shrink)

I argue that experiences can have microphenomenal structures, where the macrophenomenal properties we introspect are realized by non-introspectible microphenomenal properties. After explaining what it means to ascribe a microstructure to experience, I defend the thesis against its principal philosophical challenge, discuss how the thesis interacts with other philosophical issues about experience, and consider our prospects for investigating the microphenomenal realm.

Some moral propositions are so obviously true that we refuse to doubt them, even where we believe that many people disagree. Following Fritz and McPherson, I call our behaviour in such cases ‘moral steadfastness’. In this paper, I argue for two metaethical implications of moral steadfastness. I first argue that morally steadfast behaviour is sufficiently prevalent to present an important challenge for some prominent analogies between moral epistemology and non-moral forms of epistemology. These analogies are often pressed by moral realists. (...) I then argue that moral quasi-realism, unlike realism, can explain and vindicate our presumption that moral steadfastness is frequently rational. On the assumption that we frequently act as it is rational to act, quasi-realism is therefore well placed to explain why we are so frequently morally steadfast. I conclude that this is an important respect in which quasi-realism is explanatorily preferable to realism. (shrink)

This paper develops a theory of analog representation. We first argue that the mark of the analog is to be found in the nature of a representational system’s interpretation function, rather than in its vehicles or contents alone. We then develop the rulebound structure theory of analog representation, according to which analog systems are those that use interpretive rules to map syntactic structural features onto semantic structural features. The theory involves three degree-theoretic measures that capture three independent ways in which (...) a system can be more or less analog. We explain how our theory improves upon prior accounts of analog representation, provides plausible diagnoses for novel challenge cases, extends to hybrid systems that are partially analog and partially symbolic, and accounts for some of the advantages and disadvantages of representing analogically versus symbolically. (shrink)

Hume is believed by many to hold an emotivist thesis, according to which all expressions of moral judgements are expressions of moral sentiments. However, most specialist scholars of Hume either deny that this is Hume's position or believe that he has failed to argue convincingly for it. I argue that Hume is an emotivist, and that his true arguments for emotivism have been hitherto overlooked. Readers seeking to understand Hume's theory of moral judgements have traditionally looked to the first section (...) of Book 3 of his Treatise, which discusses the relation between morality and reason. I argue that there is evidence elsewhere which better supports Hume's emotivist thesis. Hume's arguments for emotivism focus more on the causes of moral sentiments than on their relation to reason or belief, and he argues that moral sentiments are such as to arise whenever we contemplate morally relevant objects. He also holds that the presence of moral sentiments precludes any possibility of moral belief, because moral beliefs could only be less vivid copies of moral sentiments, and these cannot simultaneously exist. Hume concludes that all moral judgements must be expressions of sentiments. (shrink)

In this chapter I hope to persuade you that defective contexts are more ubiquitous than we typically assume. In doing, so I will draw attention to a number of pressing social and theoretical issues which arise once we start to consider defective contexts. I will proceed by pointing to a number of ways in which defective contexts can emerge without self-correcting in the manner envisioned by Stalnaker. First I will consider situations in which some, but not all interlocutors recognise that (...) the context is defective. I will then consider cases of opaquely defective contexts, and the question of what it is for a context to be “close enough” to being non-defective. (shrink)

In this paper the logic of broad necessity is explored. Definitions of what it means for one modality to be broader than another are formulated, and it is proven, in the context of higher-order logic, that there is a broadest necessity, settling one of the central questions of this investigation. It is shown, moreover, that it is possible to give a reductive analysis of this necessity in extensional language. This relates more generally to a conjecture that it is not possible (...) to define intensional connectives from extensional notions. This conjecture is formulated precisely in higher-order logic, and concrete cases in which it fails are examined. The paper ends with a discussion of the logic of broad necessity. It is shown that the logic of broad necessity is a normal modal logic between S4 and Triv, and that it is consistent with a natural axiomatic system of higher-order logic that it is exactly S4. Some philosophical reasons to think that the logic of broad necessity does not include the S5 principle are given. (shrink)

Once upon a time, not too long ago, the question about apes and ethics had to do with moral standing—do apes have interests or rights that humans ought to respect? Given the fifty years of research on great ape cognition, life history, social organization, and behavior, the answer to that question seems obvious. Apes have emotions and projects, they can be harmed, and they have important social relationships.

Do the senses represent causation? Many commentators read Nicolas Malebranche as anticipating David Hume’s negative answer to this question. I disagree with this assessment. When a yellow billiard ball strikes a red billiard ball, Malebranche holds that we see the yellow ball as causing the red ball to move. Given Malebranche’s occasionalism, he insists that the visual experience of causal interaction is illusory. Nevertheless, Malebranche holds that the senses represent finite things as causally efficacious. This experience of creaturely causality explains (...) why Aristotelian philosophers and others struggle to recognize occasionalism’s truth. (shrink)

This paper defines and defends a notion of teleological function which is fit to figure in explanations concerning how organic systems, and the items which compose them, are able to perform certain activities, such as surviving and reproducing or pumping blood. According to this notion, a teleological function of an item (such as the heart) is a typical way in which items of that type contribute to some containing system's ability to do some activity. An account of what it is (...) for an item to contribute to a containing system's ability to perform an activity is provided. I argue that the view acquires its normative status in virtue of the fact that it obeys a function-accident distinction and obeys a function-dysfunction distinction; that the view is ahistorical; and, that its ahistoricity provides it with an advantage over one of its main competitors. (shrink)

This paper argues that the theory of structured propositions is not undermined by the Russell-Myhill paradox. I develop a theory of structured propositions in which the Russell-Myhill paradox doesn't arise: the theory does not involve ramification or compromises to the underlying logic, but rather rejects common assumptions, encoded in the notation of the $\lambda$-calculus, about what properties and relations can be built. I argue that the structuralist had independent reasons to reject these underlying assumptions. The theory is given both a (...) diagrammatic representation, and a logical representation in a novel language. In the latter half of the paper I turn to some technical questions concerning the treatment of quantification, and demonstrate various equivalences between the diagrammatic and logical representations, and a fragment of the $\lambda$-calculus. (shrink)

This chapter discusses Kant's 1763 "possibility proof" for the existence of God. I first provide a reconstruction of the proof in its two stages, and then revisit my earlier argument according to which the being the proof delivers threatens to be a Spinozistic-panentheistic God—a being whose properties include the entire spatio-temporal universe—rather than the traditional, ontologically distinct God of biblical monotheism. I go on to evaluate some recent alternative readings that have sought to avoid this result by arguing that the (...) relevant facts about real modality can be ultimately grounded in God’s powers or thoughts – or that Kant just leaves the grounding relations mysterious. I argue that the textual and philosophical costs of each of these alternative readings are formidable. The chapter concludes with a discussion of the fate of the proof in the critical period. Some commentators think that it disappears altogether, or that it is downgraded such that it produces a mere regulative idea of God as the most real being. I suggest that the proof survives but that the mode of assent it licenses towards its conclusion changes from knowledge to a certain kind of Belief (Glaube). (shrink)

Conscious experiences are characterized by mental qualities, such as those involved in seeing red, feeling pain, or smelling cinnamon. The standard framework for modeling mental qualities represents them via points in geometrical spaces, where distances between points inversely correspond to degrees of phenomenal similarity. This paper argues that the standard framework is structurally inadequate and develops a new framework that is more powerful and flexible. The core problem for the standard framework is that it cannot capture precision structure: for example, (...) consider the phenomenal contrast between seeing an object as crimson in foveal vision versus merely as red in peripheral vision. The solution I favor is to model mental qualities using regions, rather than points. I explain how this seemingly simple formal innovation not only provides a natural way of modeling precision, but also yields a variety of further theoretical fruits: it enables us to formulate novel hypotheses about the space and structures of mental qualities, formally differentiate two dimensions of phenomenal similarity, generate a quantitative model of the phenomenal sorites, and define a measure of discriminatory grain. A noteworthy consequence is that the structure of the mental qualities of conscious experiences is fundamentally different from the structure of the perceptible qualities of external objects. (shrink)

In this paper, I examine Hume’s account of an important class of causal belief which he calls “general rules”. I argue that he understands general rules, like all causal beliefs, as lively ideas which are habitually associated with our impressions or memories. However, I argue, he believes that they are unlike any reflectively produced causal beliefs in that they are produced quickly and automatically, such that they occur independently of any other processes of reasoning. Given this, I argue, Hume appears (...) to understand general rules as relatively simple beliefs, expressible only via generic sentences, like “birds lay eggs”. (shrink)

Formal logic has often been seen as uniquely placed to analyze mathematical argumentation. While formal logic is certainly necessary for a complete understanding of mathematical practice, it is not sufficient. Important aspects of mathematical reasoning closely resemble patterns of reasoning in nonmathematical domains. Hence the tools developed to understand informal reasoning, collectively known as argumentation theory, are also applicable to much mathematical argumentation. This chapter investigates some of the details of that application. Consideration is given to the many contrasting meanings (...) of the word “argument”; to some of the specific argumentation-theoretic tools that have been applied to mathematics, notably Toulmin layouts and argumentation schemes; to some of the different ways that argumentation is implicated in mathematical practices; and to the social aspects of mathematical argumentation. (shrink)

Sometimes we love and hate the same thing at the same time. Margaret Cavendish (1623-1673)—the maverick early modern materialist—appeals to this type of passionate conflict to argue that the mind is a material thing. When our passions conflict, the mind or reason conflicts with itself. From this Cavendish infers that the mind has parts and, therefore, is material. Cavendish says this argument is among the best proofs of the mind’s materiality. And yet, the existing scholarship on Cavendish lacks the kind (...) of detailed reconstruction required to evaluate this argument’s merits. In this paper, I provide just such a reconstruction. I also show that Cavendish’s argument is an effective intervention in her dispute with René Descartes and Henry More about the (im)materiality of the mind. (shrink)

Margaret Cavendish (1623-1673) argues that when someone throws a ball, their hand does not cause the ball to move. Instead, the ball moves itself. In this chapter, I reconstruct Cavendish’s argument that material things—like the ball—are self-moving. Cavendish argues that body-body interaction is unintelligible. We cannot make sense of interaction in terms of the transfer of motion nor the more basic idea that one body acts in another body. Assuming something moves bodies around, Cavendish concludes that bodies move themselves. Still, (...) Cavendish needs to explain why bodies appear to causally interact even if they do not really. Balls do not usually throw themselves without a helping hand. I offer a new reading of the way bodies respond to their external circumstances in terms of prerequisites or enabling conditions. (shrink)

This three-part chapter explores a higher-order logic we call ‘Classicism’, which extends a minimal classical higher-order logic with further axioms which guarantee that provable coextensiveness is sufficient for identity. The first part presents several different ways of axiomatizing this theory and makes the case for its naturalness. The second part discusses two kinds of extensions of Classicism: some which take the view in the direction of coarseness of grain (whose endpoint is the maximally coarse-grained view that coextensiveness is sufficient for (...) identity), and some which take the view in the direction of fineness of grain (whose endpoint is the maximally fine-grained theory containing all distinctness claims compatible with Classicism). The third part introduces some techniques for constructing models of Classicism, and uses them to prove the consistency of many of the extensions of Classicism introduced in the second part. (shrink)

In “The Evolutionary Debunking of Quasi-Realism,” Neil Sinclair and James Chamberlain present a novel answer that quasi-realists can pro-vide to a version of the reliability challenge in ethics—which asks for an explanation of why our moral beliefs are generally true—and in so doing, they examine whether evolutionary arguments can debunk quasi-realism. Although reliability challenges differ from EDAs in several respects, there may well be a connection between them. For the explanatory premise of an EDA may state that a particular (...) theory of beliefs of a certain kind does not, or cannot, provide a plausible account of why those beliefs might be generally true, and its epistemic premise may state that, if that is the case, then the beliefs in question have a negative epistemic status or the theory is false inasmuch as, if it were true, it would lead to those beliefs having such a negative epistemic status. The quasi-realist can answer the reli-ability challenge by claiming that, when we form our moral beliefs through a process of well-informed impartial reflection, we form them in response to the non-moral features of things on which depend the moral features they have. Hence, when we form beliefs by means of such a process, we are most likely forming true moral beliefs. (shrink)

Does utterance understanding require reliable (i.e. non-lucky) recovery of the speaker’s intended proposition? There are good reasons to answer in the affirmative: the role of understanding in supporting testimonial knowledge seemingly requires such reliability. Moreover, there seem to be communicative analogues of Gettier cases in which luck precludes the audience’s understanding an utterance despite recovering the intended proposition. Yet, there are some major problems with the view that understanding requires such reliability. Firstly, there are a number of cases in which (...) understanding seems to occur in a lucky way. In light of these cases I argue that we need to narrow down the precise sense in which understanding precludes luck – the anti-luck condition attached to linguistic understanding is importantly different to anti-luck conditions typically applied to knowledge. Secondly, Megan Hyska has recently argued that, assuming understanding precludes luck, we get a communicative analogue of the value problem for knowledge. i.e. why is it better to meet the other conditions for understanding in a reliable way than in a lucky way? It is natural to assume that we can simply port over our favoured responses to the epistemic value problem in response to Hyska’s challenge. I argue that, due to the difference between epistemic and communicative luck (discussed in response to the first problem), this cannot be done. The epistemic and communicative value problems will require different solutions. I close by sketching the beginnings of an alternative answer to the value problem for communication. (shrink)

Nicolas Malebranche (1638-1715) holds that the senses, imagination, and passions aim at survival and the satisfaction of the body’s needs, rather than truth or the good of the mind. Each of these faculties makes a distinctive and, indeed, an indispensable contribution to the preservation of life. Commentators have largely focused on how the senses keep us alive. By comparison, the imagination and passions have been neglected. In this paper, I reconstruct Malebranche’s account of how the imagination contributes to the preservation (...) of the body by compensating for the limitations of the senses. First, the imagination represents non-actual states of affairs, such as probable or possible future states. Second, the imagination forges new and often helpful associations based on past experiences. Third, the imagination (mis)represents that objects will cause pleasure and pain, thereby imbuing them with emotional significance they would otherwise lack. Together, these features flesh out Malebranche’s view that the imagination is necessary for the preservation of life. (shrink)

Mary Astell (1666-1731) relies on a Cartesian account of the self to argue that both men and women are essentially thinking things and, hence, that both should perfect their minds or intellects. This account of the self might seem to ignore the inescapable fact that we have bodies. I argue that Astell accommodates the self’s embodiment along three dimensions. First, she tempers her sharp distinction between mind and body by insisting on their union. Second, she argues that the mind-body union (...) is good, at least when the body obeys the mind. Third, though Astell identifies the self with the mind, she identifies the person with the combination of mind and body. (shrink)

Metaphysicians often claim that some metaphysical theory should (or shouldn’t) be believed because it exhibits (or fails to exhibit) theoretical virtues such as simplicity. Metaphysicians also sometimes claim that the legitimacy of these sorts of appeals to theoretical virtues are vindicated by the similar appeals to theoretical virtues which scientists make in scientific theory choice. One objection to this methodological move is to claim that the metaphysician misdescribes the role that theoretical virtues play within science. In this paper I defend (...) the metaphysician’s use of theoretical virtues against this objection. (shrink)