In the contemporary philosophy of set theory, discussion of new axioms that purport to resolve independence necessitates an explanation of how they come to be justified. Ordinarily, justification is divided into two broad kinds: intrinsic justification relates to how `intuitively plausible' an axiom is, whereas extrinsic justification supports an axiom by identifying certain `desirable' consequences. This paper puts pressure on how this distinction is formulated and construed. In particular, we argue that the distinction as often presented is neither well-demarcated nor (...) sufficiently precise. Instead, we suggest that the process of justification in set theory should not be thought of as neatly divisible in this way, but should rather be understood as a conceptually indivisible notion linked to the goal of explanation. (shrink)

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often forcing constructions that add subsets to models are cited as evidence in favour of the latter. This paper informs this debate by analysing ways the Universist might interpret this discourse that seems (...) to necessitate the addition of subsets to V. We argue that despite the prima facie incoherence of such talk for the Universist, she nonetheless has reason to try and provide interpretation of this discourse. We analyse extant interpretations of such talk, and analyse various tradeoffs in naturality that might be made. We conclude that the Universist has promising options for interpreting different forcing constructions. (shrink)

A pervasive thought in contemporary philosophy of mathematics is that in order to justify reflection principles, one must hold universism: the view that there is a single universe of pure sets. I challenge this kind of reasoning by contrasting universism with a Zermelian form of multiversism. I argue that if extant justifications of reflection principles using notions of richness are acceptable for the universist, then the Zermelian can use similar justifications. However, I note that for some forms of richness argument, (...) the status of reflection principles as axioms is left open for the Zermelian. (shrink)

Let's suppose you think that there are no uncountable sets. Have you adopted a restrictive position? It is certainly tempting to say yes---you've prohibited the existence of certain kinds of large set. This paper argues that this intuition can be challenged. Instead, I argue that there are some considerations based on a formal notion of restrictiveness which suggest that it is restrictive to hold that there are uncountable sets.

This article articulates and assesses an imperatival approach to the foundations of mathematics. The core idea for the program is that mathematical domains of interest can fruitfully be viewed as the outputs of construction procedures. We apply this idea to provide a novel formalisation of arithmetic and set theory in terms of such procedures, and discuss the significance of this perspective for the philosophy of mathematics.

I provide an examination and comparison of modal theories for underwriting different non-modal theories of sets. I argue that there is a respect in which the `standard' modal theory for set construction---on which sets are formed via the successive individuation of powersets---raises a significant challenge for some recently proposed `countabilist' modal theories (i.e. ones that imply that every set is countable). I examine how the countabilist can respond to this issue via the use of regularity axioms and raise some questions (...) about this approach. I argue that by comparing them with the `standard' uncountabilist theory, a new approach that brings in arbitrariness rather than the strict controls of forcing is desirable. (shrink)

We explain and explore class-theoretic potentialism—the view that one can always individuate more classes over a set-theoretic universe. We examine some motivations for class-theoretic potentialism, before proving some results concerning the relevant potentialist systems (in particular exhibiting failures of the $\mathsf {.2}$ and $\mathsf {.3}$ axioms). We then discuss the significance of these results for the different kinds of class-theoretic potentialists.

In this article, I survey some philosophical attitudes to talk concerning `the' universe of sets. I separate out four different strands of the debate, namely: (i) Universism, (ii) Multiversism, (iii) Potentialism, and (iv) Pluralism. I discuss standard arguments and counterarguments concerning the positions and some of the natural mathematical programmes that are suggested by the various views.

Zero provides a challenge for philosophers of mathematics with realist inclinations. On the one hand it is a bona fide cardinal number, yet on the other it is linked to ideas of nothingness and non-being. This paper provides an analysis of the epistemology and metaphysics of zero. We develop several constraints and then argue that a satisfactory account of zero can be obtained by integrating an account of numbers as properties of collections, work on the philosophy of absences, and recent (...) work in numerical cognition and ontogenetic studies. (shrink)

Often philosophers, logicians, and mathematicians employ a notion of intended structure when talking about a branch of mathematics. In addition, we know that there are foundational mathematical theories that can find representatives for the objects of informal mathematics. In this paper, we examine how faithfully foundational theories can represent intended structures, and show that this question is closely linked to the decidability of the theory of the intended structure. We argue that this sheds light on the trade-off between expressive power (...) and meta-theoretic properties when comparing first-order and second-order logic. (shrink)

Let mathematical justification be the kind of justification obtained when a mathematician provides a proof of a theorem. Are Gettier cases possible for this kind of justification? At first sight we might think not: The standard for mathematical justification is proof and, since proof is bound at the hip with truth, there is no possibility of having an epistemically lucky justification of a true mathematical proposition. In this paper, I argue that Gettier cases are possible (and indeed actual) in mathematical (...) reasoning. By analysing these cases, I suggest that the Gettier phenomenon indicates some upshots for actual mathematical practice. (shrink)

It is standard in set theory to assume that Cantor's Theorem establishes that the continuum is an uncountable set. A challenge for this position comes from the observation that through forcing one can collapse any cardinal to the countable and that the continuum can be made arbitrarily large. In this paper, we present a different take on the relationship between Cantor's Theorem and extensions of universes, arguing that they can be seen as showing that every set is countable and that (...) the continuum is a proper class. We examine several principles based on maximality considerations in this framework, and show how some (namely Ordinal Inner Model Hypotheses) enable us to incorporate standard set theories (including ZFC with large cardinals added). We conclude that the systems considered raise questions concerning the foundational purposes of set theory. (shrink)

Much of the discussion of set-theoretic independence, and whether or not we could legitimately expand our foundational theory, concerns how we could possibly come to know the truth value of independent sentences. This paper pursues a slightly different tack, examining how we are ignorant of issues surrounding their truth. We argue that a study of how we are ignorant reveals a need for an understanding of set-theoretic explanation and motivates a pluralism concerning the adoption of foundational theory.

We introduce and consider the inner-model reflection principle, which asserts that whenever a statement \varphi(a) in the first-order language of set theory is true in the set-theoretic universe V, then it is also true in a proper inner model W \subset A. A stronger principle, the ground-model reflection principle, asserts that any such \varphi(a) true in V is also true in some non-trivial ground model of the universe with respect to set forcing. These principles each express a form of width (...) reflection in contrast to the usual height reflection of the Lévy–Montague reflection theorem. They are each equiconsistent with ZFC and indeed \Pi_2-conservative over ZFC, being forceable by class forcing while preserving any desired rank-initial segment of the universe. Furthermore, the inner-model reflection principle is a consequence of the existence of sufficient large cardinals, and lightface formulations of the reflection principles follow from the maximality principle MP and from the inner-model hypothesis IMH. We also consider some questions concerning the expressibility of the principles. (shrink)

Set-theoretic and category-theoretic foundations represent different perspectives on mathematical subject matter. In particular, category-theoretic language focusses on properties that can be determined up to isomorphism within a category, whereas set theory admits of properties determined by the internal structure of the membership relation. Various objections have been raised against this aspect of set theory in the category-theoretic literature. In this article, we advocate a methodological pluralism concerning the two foundational languages, and provide a theory that fruitfully interrelates a `structural' perspective (...) to a set-theoretic one. We present a set-theoretic system that is able to talk about structures more naturally, and argue that it provides an important perspective on plausibly structural properties such as cardinality. We conclude the language of set theory can provide useful information about the notion of mathematical structure. (shrink)

How does our language relate to reality? This is a question that is especially pertinent in set theory, where we seem to talk of large infinite entities. Based on an analogy with the use of models in the natural sciences, we argue for a threefold correspondence between our language, models, and reality. We argue that so conceived, the existence of models can be underwritten by a weak notion of existence, where weak existence is to be understood as existing in virtue (...) of language. (shrink)

In his _Being Known_ Peacocke sets himself the task of answering how we come to know about metaphysical necessities. He proposes a semantic principle-based conception consisting of, first, his Principles of Possibility which pro­vide necessary and sufficient conditions for a new concept 'admissibility', and second, characterizations of possibility and of necessity in terms of that new con­cept. I focus on one structural feature; viz. the recursive application involved in the specification of 'admissibility'. After sketching Peacocke’s proposal, I intro­duce a fictional (...) protagonist, Cautious Peacocke, whose coherence I claim shows that Peacocke s proposal cannot be made good. I conclude with the conjecture that similar failure will attend any such semantic-based attempts to ground the epistemology of metaphysical necessity. -/- Dans son livre intitulé Being Known, C. Peacocke se propose de repondre à la question de savoir comment nous en venons a connaitre des nécessités métaphysiques. Il développe une conception sémantique reposant sur des principes comprenant, d’une part, ses Principes de Possibilité — qui fournissent les conditions nécessaires et suffisantes pour un nouveau concept, « l’admissibilité » — et d’autre part des caractérisations de la possibilité et de la nécessité a l’aide de ce nouveau concept. Je me concentre sur une caractéristique structurelle, a savoir l’application récursive a l’œuvre dans la spécification de «l’admissibilité ». Apres avoir esquisse la proposition de Peacocke, j’introduis un personnage fictif, Peacocke-prudent. Je soutiens que la cohérence de ce personnage montre que la proposition de Peacocke ne peut pas être satisfaite. Je conclus en conjecturant qu’un échec similaire se présentera pour toutes les tentatives de fonder l’épistemologie de la nécessité métaphysique sur de telles bases semantiques. (shrink)

Informal rigour is the process by which we come to understand particular mathematical structures and then manifest this rigour through axiomatisations. Structural relativity is the idea that the kinds of structures we isolate are dependent upon the logic we employ. We bring together these ideas by considering the level of informal rigour exhibited by our set-theoretic discourse, and argue that different foundational programmes should countenance different underlying logics (intermediate between first- and second-order) for formulating set theory. By bringing considerations of (...) perturbations in modal space to bear on the debate, we will suggest that a promising option for representing current set-theoretic thought is given by formulating set theory using quasi-weak second-order logic. These observations indicate that the usual division of structures into \particular (e.g. the natural number structure) and general (e.g. the group structure) is perhaps too coarse grained; we should also make a distinction between intentionally and unintentionally general structures. (shrink)

The relevance of analytic metaphysics has come under criticism: Ladyman & Ross, for instance, have suggested do discontinue the field. French & McKenzie have argued in defense of analytic metaphysics that it develops tools that could turn out to be useful for philosophy of physics. In this article, we show first that this heuristic defense of metaphysics can be extended to the scientific field of applied ontology, which uses constructs from analytic metaphysics. Second, we elaborate on a parallel by French (...) & McKenzie between mathematics and metaphysics to show that the whole field of analytic metaphysics, being useful not only for philosophy but also for science, should continue to exist as a largely autonomous field. (shrink)

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often model-theoretic constructions that add sets to models are cited as evidence in favour of the latter. This paper informs this debate by developing a way for a Universist to interpret talk that (...) seems to necessitate the addition of sets to V. We argue that, despite the prima facie incoherence of such talk for the Universist, she nonetheless has reason to try and provide interpretation of this discourse. We present a method of interpreting extension-talk (V-logic), and show how it captures satisfaction in `ideal' outer models and relates to impredicative class theories. We provide some reasons to regard the technique as philosophically virtuous, and argue that it opens new doors to philosophical and mathematical discussions for the Universist. (shrink)

Black holes are extremely relativistic objects. Physical processes around them occur in a regime where the gravitational field is extremely intense. Under such conditions, our representations of space, time, gravity, and thermodynamics are pushed to their limits. In such a situation philosophical issues naturally arise. In this chapter I review some philosophical questions related to black holes. In particular, the relevance of black holes for the metaphysical dispute between presentists and eternalists, the origin of the second law of thermodynamics and (...) its relation to black holes, the problem of information, black holes and hypercomputing, the nature of determinisim, and the breakdown of predictability in black hole space-times. I maintain that black hole physics can be used to illuminate some important problems in the border between science and philosophy, either epistemology and ontology. (shrink)

Stephen Palmquist is Professor of Religion and Philosophy at Hong Kong Baptist University. We invited him to answer the question "What norms or values define excellent philosophy of religion? as part of our "Philosophers of Religion on Philosophy of Religion" series. If we regard this as a philosophical (not a scientific) question, then the first step to answering it is to determine what norms or values define excellent philosophy, in general. Once that is established, we can inquire whether the (...) nature of religion brings with it any special features that make the task of doing excellent philosophy of religion unique. Unlike scientific explanations, excellent philosophical explanations must be multi-perspectival. A question that has only one right answer is not philosophical; instead, it is likely to be about facts. While we philosophers should care (deeply!) about any facts relevant to our inquiries, our peculiar way of interpreting facts means that answering a philosophical question cannot be done in one absolutely "right" way. This does not mean there are no right answers to philosophical questions; rather, there are many. But this does not make any answer equally good; for there would then be no such thing as excellent philosophy. The essentially perspectival nature of all genuinely philosophical questions means that the correctness of each purportedly "right" answer must be assessed in terms of its aptness for the perspective the questioner adopts when posing the question. A single question, such as "Does God exist?" can have many good answers, depending on whether the questioner assumes science, morality, aesthetics, or something else as the context. Each different type of inquiry has different boundary-conditions, so a good answer within each context is bound to differ from those in other contexts. Bad philosophy typically lacks depth: like a cyclops, its approach to answering questions is mono-perspectival. But if good philosophy acknowledges perspectives, what makes philosophy excellent? Good philosophy achieves excellence when it approaches a completeness whereby we begin to understand the range of relevant perspectives from which a given question can be asked, and the distinct boundary-conditions for answering it properly from each relevant perspective. Before applying this definition of excellent philosophy to the specific case at hand, we must pause to consider whether anything distinctive characterizes the range of philosophical topics and questions that typically come under the umbrella of philosophy of religion. In particular, does religion have features that make it especially difficult (or for that matter, easy) to think about philosophically, compared to other philosophical topics? Yes and no. (shrink)

Discussion of new axioms for set theory has often focused on conceptions of maximality, and how these might relate to the iterative conception of set. This paper provides critical appraisal of how certain maximality axioms behave on different conceptions of ontology concerning the iterative conception. In particular, we argue that forms of multiversism (the view that any universe of a certain kind can be extended) and actualism (the view that there are universes that cannot be extended in particular ways) face (...) complementary problems. The latter view is unable to use maximality axioms that make use of extensions, where the former has to contend with the existence of extensions violating maximality axioms. An analysis of two kinds of multiversism, a Zermelian form and Skolemite form, leads to the conclusion that the kind of maximality captured by an axiom differs substantially according to background ontology. (shrink)

The goal of this paper is to show that the information carried by a structural representation can be decomposed into the information carried by its component parts. In particular, the relations between the components of a structural representation carry quantifiable information about the relations between components of their signifieds. It follows that the information carried by cognitive structural representations, including cognitive maps, can in principle be quantified and decomposed. This is perhaps surprising given that the formal tools of communication theory (...) have typically only been applied to simpler representation-like states without significant structure, such as detectors or indicators. In the final section I consider using computational complexity theory to capture the processing advantages afforded by structural representation. (shrink)

I argue that Schopenhauer’s ascription of (moral) rights to animals flows naturally from his distinctive analysis of the concept of a right. In contrast to those who regard rights as fundamental and then cast wrongdoing as a matter of violating rights, he takes wrong (Unrecht) to be the more fundamental notion and defines the concept of a right (Recht) in its terms. He then offers an account of wrongdoing which makes it plausible to suppose that at least many animals can (...) be wronged and thus, by extension, have rights. The result, I argue, is a perspective on the nature of moral rights in general, and the idea of animal rights in particular, that constitutes an important and plausible alternative to the more familiar views advanced by philosophers in recent decades. (shrink)

What should we make of claims by members of other groups to have moralities different from our own? Human Rights in Chinese Thought gives an extended answer to this question in the first study of its kind. It integrates a full account of the development of Chinese rights discourse - reaching back to important, though neglected, origins of that discourse in 17th and 18th century Confucianism - with philosophical consideration of how various communities should respond to contemporary Chinese claims about (...) the uniqueness of their human rights concepts. The book elaborates a plausible kind of moral pluralism and demonstrates that Chinese ideas of human rights do indeed have distinctive characteristics, but it nonetheless argues for the importance and promise of cross-cultural moral engagement. (shrink)

Tracing the leading role of emotions in the evolution of the mind, a philosopher and a psychologist pair up to reveal how thought and culture owe less to our faculty for reason than to our capacity to feel. Many accounts of the human mind concentrate on the brain’s computational power. Yet, in evolutionary terms, rational cognition emerged only the day before yesterday. For nearly 200 million years before humans developed a capacity to reason, the emotional centers of the brain were (...) hard at work. If we want to properly understand the evolution of the mind, we must explore this more primal capability that we share with other animals: the power to feel. Emotions saturate every thought and perception with the weight of feelings. The Emotional Mind reveals that many of the distinctive behaviors and social structures of our species are best discerned through the lens of emotions. Even the roots of so much that makes us uniquely human—art, mythology, religion—can be traced to feelings of caring, longing, fear, loneliness, awe, rage, lust, playfulness, and more. From prehistoric cave art to the songs of Hank Williams, Stephen T. Asma and Rami Gabriel explore how the evolution of the emotional mind stimulated our species’ cultural expression in all its rich variety. Bringing together insights and data from philosophy, biology, anthropology, neuroscience, and psychology, The Emotional Mind offers a new paradigm for understanding what it is that makes us so unique. (shrink)

Robust Realists think that there are irreducible, non-natural, and mind-independent moral properties. Quasi-Realists and Relaxed Realists think the same, but interpret these commitments differently. Robust Realists interpret them as metaphysical commitments, to be defended by metaphysical argument. Quasi-Realists and Relaxed Realists say that they can only be interpreted as moral commitments. These theories thus pose a serious threat to Robust Realism, for they apparently undermine the very possibility of articulating the robust metaphysical commitments of this theory. I clarify and respond (...) to this threat, showing that there is in fact space to develop and defend a robust moral ontology. (shrink)

La pertinence de la métaphysique analytique a fait l'objet de critiques : Ladyman et Ross, par exemple, ont suggéré d'abandonner ce domaine. French et McKenzie ont défendu la métaphysique analytique en affirmant qu'elle développe des outils qui pourraient s'avérer utiles pour la philosophie de la physique. Dans cet article, nous montrons dans un premier temps que cette défense heuristique de la métaphysique peut être étendue au domaine scientifique de l'ontologie appliquée, qui utilise des théories et outils issus de la métaphysique (...) analytique. Dans un deuxième temps, nous développons le parallèle que font French et McKenzie entre les mathématiques et la métaphysique pour montrer que l'ensemble du domaine de la métaphysique analytique, étant donné son utilité non seulement pour la philosophie mais également pour la science, devrait continuer à exister en tant que domaine largement autonome. (shrink)

Some philosophers contend that the past must be finite in duration, because otherwise reaching the present would have involved the sequential occurrence of an actual infinity of events, which they regard as impossible. I recently developed a new objection to this finitist argument, to which Andrew Ter Ern Loke and Travis Dumsday have replied. Here I respond to the three main points raised in their replies.

Sufferers of eating disorders often hold false beliefs about their own body size. Such beliefs appear to violate norms of rationality, being neither grounded by nor responsive to appropriate forms of evidence. I defend the rationality of these beliefs. I argue that they are in fact supported by appropriate evidence, emanating from proprioceptive misperception of bodily boundaries. This argument has far‐reaching implications for the explanation and treatment of eating disorders, as well as debates over the relationship between rationality and human (...) psychology. (shrink)

This paper focuses on the fact that AI is predominantly portrayed as white—in colour, ethnicity, or both. We first illustrate the prevalent Whiteness of real and imagined intelligent machines in four categories: humanoid robots, chatbots and virtual assistants, stock images of AI, and portrayals of AI in film and television. We then offer three interpretations of the Whiteness of AI, drawing on critical race theory, particularly the idea of the White racial frame. First, we examine the extent to which this (...) Whiteness might simply reflect the predominantly White milieus from which these artefacts arise. Second, we argue that to imagine machines that are intelligent, professional, or powerful is to imagine White machines because the White racial frame ascribes these attributes predominantly to White people. Third, we argue that AI racialised as White allows for a full erasure of people of colour from the White utopian imaginary. Finally, we examine potential consequences of the racialisation of AI, arguing it could exacerbate bias and misdirect concern. (shrink)

This study in moral, political, and legal philosophy contends that it is morally impermissible to circumcise male minors without a medical indication (nontherapeutic circumcision). Male minors have a moral anticipatory autonomy right-in-trust not to be circumcised. This right depends on norms of autonomy and bodily integrity. These norms generate three direct non-consequentialist arguments against nontherapeutic circumcision: (1) the loss of nonrenewable functional tissue, (2) genital salience, and (3) limits on a parental right to permanently modify their sons' bodies. An indirect (...) argument holds (4) that if it is morally impermissible to remove the female prepuce (clitoral hood), then it is also morally impermissible to remove the male prepuce (foreskin). Although there is debate across medical cultures, a reasonable understanding supports the claim that nontherapeutic circumcision causes some harms and imposes unwarranted risks on male minors. The overall moral case applies to secular circumcisions and, with some qualifications, to religious circumcisions in Judaism and Islam. Arguments of political philosophy that invoke the freedom of religion, toleration, multiculturalism, and social meaning qualify somewhat, but do not eliminate, the case against circumcising male minors without a medical indication. Nevertheless, the arguments deployed in this study do not warrant legal interference at this time with secular and religious practices of nontherapeutic circumcision. (shrink)

According to ‘orthodox’ epistemology, it has recently been said, whether or not a true belief amounts to knowledge depends exclusively on truth-related factors: for example, on whether the true belief was formed in a reliable way, or was supported by good evidence, and so on. Jason Stanley refers to this as the ‘intellectualist’ component of orthodox epistemology, and Jeremy Fantl and Matthew McGrath describe it as orthodox epistemology’s commitment to a ‘purely epistemic’ account of knowledge — that is, an account (...) of knowledge where only truth-related factors figure in whether or not a person knows. In the first part of this paper I try to clarify the intellectualist thesis and to distinguish what I take to be its two main strains. In the remainder of the paper I then take a more critical turn and argue that even if, as a matter of fact, traditional epistemology has endorsed intellectualism in both of its strains, this is a mistake on the part of the tradition. At least one way of understanding intellectualism should be rejected and its practicalist counterpart should be accepted instead. (shrink)

Timothy Hsiao argues that animals lack moral status because they lack the capacity for the sort of higher-level rationality required for membership in the moral community. Stijn Bruers and László Erdős have already raised a number of objections to this argument, to which Hsiao has replied with some success. But I think a stronger critique can be made. Here I raise further objections to three aspects of Hsiao's view: his conception of the moral community, his idea of root capacities grounded (...) in one's nature, and his explanation of why cruelty is wrong. I also argue that sentience is a more plausible candidate for the morally salient capacity than rationality. (shrink)

LandryElaine, * ed. Categories for the Working Philosopher. Oxford University Press, 2017. ISBN 978-0-19-874899-1 ; 978-0-19-106582-8. Pp. xiv + 471.

This paper investigates whether different philosophers’ claims about “normativity” are about the same subject or (as recently argued by Derek Parfit) theorists who appear to disagree are really using the term with different meanings, in order to cast disambiguating light on the debates over at least the nature, existence, extension, and analyzability of normativity. While I suggest the term may be multiply ambiguous, I also find reasons for optimism about a common subject-matter for metanormative theory. This is supported partly by (...) sketching a special kind of hybrid view of normative judgment, perspectivism, that occupies a position between cognitivism and noncognitivism, naturalism and nonnaturalism, objectivism and subjectivism, making it more plausible that radically different metanormative theories could be about the same thing. I explore three main fissures: between (i) the “normativity” of language/thought versus that of facts and properties, (ii) abstract versus substantive senses, and (iii) formal versus robust senses. (shrink)

Kripke, argued like this: it seems possible that E; the appearance can't be explained away as really pertaining to a "presentation" of E; so, pending a different explanation, it is possible that E. Textbook Kripkeans see in the contrast between E and its presentation intimations of a quite general distinction between two sorts of meaning. E's secondary or a posteriori meaning is the set of all worlds w which E, as employed here, truly describes. Its primary or a priori meaning (...) is the set of all w such that if w is actual, then E is true. "Conceivability error" occurs when a primary possibility is mistaken for a secondary one. Textbook Kripkeanism is rejected on the grounds that it makes meaning too modal and modality too much a matter of meaning. (shrink)

Instrumentalists about need believe that all needs are instrumental, i.e., ontologically dependent upon ends, goals or purposes. Absolutists view some needs as non-instrumental. The aims of this article are: clearly to characterize the instrumentalism/absolutism debate that is of concern (mainly §1); to establish that both positions have recent and current adherents (mainly §1); to bring what is, in comparison with prior literature, a relatively high level of precision to the debate, employing some hitherto neglected, but important, insights (passim); to show, (...) on grounds not previously to the fore in the literature, that insofar as instrumentalism’s advocates have provided arguments for the position, these are unsound (§2); to argue against instrumentalism using a new dilemma concerning whether ‘end’, ‘goal’ and ‘purpose’ are interpreted in a mentalistic manner (§3); to elucidate the implications of the needs/need-satisfiers and preconditions/means distinctions for the debate (§4). (shrink)

Over the last fifteen years, an ambitious explanatory framework has been proposed to unify explanations across biology and cognitive science. Active inference, whose most famous tenet is the free energy principle, has inspired excitement and confusion in equal measure. Here, we lay the ground for proper critical analysis of active inference, in three ways. First, we give simplified versions of its core mathematical models. Second, we outline the historical development of active inference and its relationship to other theoretical approaches. Third, (...) we describe three different kinds of claim -- labelled mathematical, empirical and general -- routinely made by proponents of the framework, and suggest dialectical links between them. Overall, we aim to increase philosophical understanding of active inference so that it may be more readily evaluated. -/- This the final submitted version of the Introduction to the Topical Collection "The Free Energy Principle: From Biology to Cognition", forthcoming in Biology & Philosophy. (shrink)

Prominent views about representation share a premise: that mathematical communication theory is blind to representational content. Here I challenge that premise by rejecting two common misconceptions: that Claude Shannon said that the meanings of signals are irrelevant for communication theory (he didn't and they aren't), and that since correlational measures can't distinguish representations from natural signs, communication theory can't distinguish them either (the premise is true but the conclusion is false; no valid argument can link them).

How we feel is as vital to our survival as how we think. This claim, based on the premise that emotions are largely adaptive, serves as the organizing theme of Why We Need Religion. This book is a novel pathway in a well-trodden field of religious studies and philosophy of religion. Stephen Asma argues that, like art, religion has direct access to our emotional lives in ways that science does not. Yes, science can give us emotional feelings of wonder (...) and the sublime--we can feel the sacred depths of nature--but there are many forms of human suffering and vulnerability that are beyond the reach of help from science. Different emotional stresses require different kinds of rescue. Unlike secular authors who praise religion's ethical and civilizing function, Asma argues that its core value lies in its emotionally therapeutic power. No theorist of religion has failed to notice the importance of emotions in spiritual and ritual life, but truly systematic research has only recently delivered concrete data on the neurology, psychology, and anthropology of the emotional systems. This very recent "affective turn" has begun to map out a powerful territory of embodied cognition. Why We Need Religion incorporates new data from these affective sciences into the philosophy of religion. It goes on to describe the way in which religion manages those systems--rage, play, lust, care, grief, and so on. Finally, it argues that religion is still the best cultural apparatus for doing this adaptive work. In short, the book is a Darwinian defense of religious emotions and the cultural systems that manage them. (shrink)

I examine the (mediated) correspondence between Spinoza and Robert Boyle concerning the latter’s account of fluidity and his experiments on reconstitution of niter in the light of the epistemology and doctrine of method contained in the Treatise on the Emendation of the Intellect. I argue that both the Treatise and the correspondence reveal that for Spinoza, the proper method of science is not experimental, and that he accepted a powerful under-determination thesis. I argue that, in contrast to modern versions, Spinoza’s (...) form of naturalism was a highly rationalist and anti-empirical one. I conclude with a brief account of the value of experience and experimentation for Spinoza’s scientific method. (shrink)

Many intelligent, capable, and successful individuals believe that their success is due to luck and fear that they will someday be exposed as imposters. A puzzling feature of this phenomenon, commonly referred to as imposter syndrome, is that these same individuals treat evidence in ways that maintain their false beliefs and debilitating fears: they ignore and misattribute evidence of their own abilities, while readily accepting evidence in favour of their inadequacy. I propose a novel account of imposter syndrome as an (...) instance of self-deception, whereby biased evidence treatment is driven by the motivational benefit of negative self-appraisal. This account illuminates a number of interconnected philosophical and scientific puzzles related to the explanation, definition, and value of imposter syndrome. (shrink)

[Stephen Yablo] The usual charge against Carnap's internal/external distinction is one of 'guilt by association with analytic/synthetic'. But it can be freed of this association, to become the distinction between statements made within make-believe games and those made outside them-or, rather, a special case of it with some claim to be called the metaphorical/literal distinction. Not even Quine considers figurative speech committal, so this turns the tables somewhat. To determine our ontological commitments, we have to ferret out all traces (...) of nonliterality in our assertions; if there is no sensible project of doing that, there is no sensible project of Quinean ontology. /// [Andre Gallois] I discuss Steve Yablo's defence of Carnap's distinction between internal and external questions. In the first section I set out what I take that distinction, as Carnap draws it, to be, and spell out a central motivation Carnap has for invoking it. In the second section I endorse, and augment, Yablo's response to Quine's arguments against Carnap. In the third section I say why Carnap's application of the distinction between internal and external questions runs into trouble. In the fourth section I spell out what I take to be Yablo's version of Carnap. In the last I say why that version is especially vulnerable to the objection raised in the second. (shrink)