One sometimes believes a proposition without grasping it. For example, a complete achromat might believe that ripe tomatoes are red without grasping this proposition. My aim in this paper is to shed light on the difference between merely believing a proposition and grasping it. I focus on two possible theories of grasping: the inferential theory, which explains grasping in terms of inferential role, and the phenomenal theory, which explains grasping in terms of phenomenal consciousness. I argue that the phenomenal theory (...) is more plausible than the inferential theory. (shrink)

The Problem of Overlappers is a puzzle about what makes it the case, and how we can know, that we have the parts we intuitively think we have. In this paper, I develop and motivate an overlooked solution to this puzzle. According to what I call the self-making view it is within our power to decide what we refer to with the personal pronoun ‘I’, so the truth of most of our beliefs about our parts is ensured by the very (...) mechanism of self-reference. Other than providing an elegant solution to the Problem of Overlappers, the view can be motivated on independent grounds. It also has wide-ranging consequences for how we should be thinking about persons. Among other things, it can help undermine an influential line of argument against the permissibility of elective amputation. After a detailed discussion and defence of the self-making view, I consider some objections to it. I conclude that none of these objections is persuasive and we should at the very least take seriously the idea that we are to some extent self-made. (shrink)

One of Mill’s main arguments for free speech springs from taking disagreement as an epistemically valuable resource for fallible thinkers. Contemporary conciliationist treatments of disagreement spring from the same motivation, but end up seeing the epistemic implications of disagreement quite differently. Conciliationism also encounters complexities when transposed from the 2-person toy examples featured in the literature to the public disagreements among groups that give the issue much of its urgency. Group disagreements turn out to be in some ways more powerful (...) defeaters of rational belief, even when opposing groups are comparable in size and epistemic credentials. And conciliationism also shows us why determining the rational response to these disagreements can in certain cases (e.g. politics) be a particularly difficult and nuanced matter. (shrink)

This is a collective study of the epistemic significance of disagreement: twelve contributors explore rival responses to the problems that it raises for philosophy. They develop our understanding of epistemic phenomena that are central to any thoughtful engagement with others' beliefs.

Using as a starting point recent and apparently incompatible conclusions by Saunders and Knox, I revisit the question of the correct spacetime setting for Newtonian physics. I argue that understood correctly, these two versions of Newtonian physics make the same claims both about the background geometry required to define the theory, and about the inertial structure of the theory. In doing so I illustrate and explore in detail the view—espoused by Knox, and also by Brown —that inertial structure is defined (...) by the dynamics governing subsystems of a larger system. This clarifies some interesting features of Newtonian physics, notably the distinction between using the theory to model subsystems of a larger whole and using it to model complete universes, and the scale-relativity of spacetime structure. _1_ Introduction _2_ Newtonian Mechanics and Galilean Spacetime _3_ Vector Relationism and Maxwellian Spacetime _4_ Recovering the Galilei Group: Dynamics of Subsystems _5_ Knox on Inertial Structure _6_ Connections on Maxwellian Spacetime _7_ Knox on Newtonian Gravity _8_ Vector Relationism and Newton–Cartan Theory _9_ Inertial Structure in Newton–Cartan Gravity _10_ Reconciling Knox and Saunders _11_ Conclusions. (shrink)

Lipsey and Lancaster's "general theory of second best" is widely thought to have significant implications for applied theorizing about the institutions and policies that most effectively implement abstract normative principles. It is also widely thought to have little significance for theorizing about which abstract normative principles we ought to implement. Contrary to this conventional wisdom, I show how the second-best theorem can be extended to myriad domains beyond applied normative theorizing, and in particular to more abstract theorizing about the normative (...) principles we should aim to implement. I start by separating the mathematical model used to prove the second-best theorem from its familiar economic interpretation. I then develop an alternative normative-theoretic interpretation of the model, which yields a novel second best theorem for idealistic normative theory. My method for developing this interpretation provides a template for developing additional interpretations that can extend the reach of the second-best theorem beyond normative theoretical domains. I also show how, within any domain, the implications of the second-best theorem are more specific than is typically thought. I conclude with some brief remarks on the value of mathematical models for conceptual exploration. (shrink)

Political philosophers frequently claim that political ideals can provide normative guidance for unjust and otherwise nonideal circumstances. This is mistaken. This paper demonstrates that political ideals contribute nothing to our understanding of the normative principles we should satisfy amidst unjust or otherwise nonideal circumstances.

People are often offended by beliefs, expect apologies for beliefs, apologize for their own beliefs. In many mundane cases, people are morally criticized for their beliefs. Intuitively, then, beliefs seem to sometimes wrong people. Recently, the philosophical literature has picked up on this theme, and has started to discuss it under the heading of doxastic wrongdoing. In this paper we argue that despite the strength of such initial intuitions, at the end of the day they have to be rejected. If (...) it can be ever truthfully asserted that beliefs wrong, this is always derivative – beliefs wrong only in virtue of other things (like evidence-gathering actions) wronging. We distinguish between modest and ambitious doxastic wrongdoing theories (the former deny, while the latter accept, the possibility of a morally wrong yet epistemically permissible belief); we argue that each of these options faces insurmountable problems; and we offer partly debunking explanations of the intuitions purportedly supporting doxastic wrongdoing. (shrink)

It is conventional wisdom among political philosophers that ideal principles of justice must guide our attempts to design institutions to avert actual injustice. Call this the ideal guidance approach. I argue that this view is misguided— ideal principles of justice are not appropriate "guiding principles" that actual institutions must aim to realize, even if only approximately. Fortunately, the conventional wisdom is also avoidable. In this paper, I develop an alternative approach to institutional design, which I call institutional failure analysis. The (...) basic intuition of this approach is that our moral assessment of institutional proposals is most effective when we proceed from a detailed understanding of the causal processes generating problematic social outcomes. Failure analysis takes the institutional primary design task to be obviating or averting institutional failures. Consequently, failure analysis enables theorists to prescribe more effective solutions to actual injustice because its focuses on understanding the injustice, rather than specifying an ideal of justice. (shrink)

Abstract: Theories of epistemic rationality that take disagreement (or other higher-order evidence) seriously tend to be “modest” in a certain sense: they say that there are circumstances in which it is rational to doubt their correctness. Modest views have been criticized on the grounds that they undermine themselves—they’re self-defeating. The standard Self-Defeat Objections depend on principles forbidding epistemically akratic beliefs; but there are good reasons to doubt these principles—even New Rational Reflection, which was designed to allow for certain special cases (...) that are intuitively akratic. On the other hand, if we construct a Self-Defeat Objection without relying on anti-akratic principles, modest principles turn out not to undermine themselves. In the end, modesty should not be seen as a defect in a theory of rational belief. (shrink)

We propose a formal framework for interpretable machine learning. Combining elements from statistical learning, causal interventionism, and decision theory, we design an idealised explanation game in which players collaborate to find the best explanation for a given algorithmic prediction. Through an iterative procedure of questions and answers, the players establish a three-dimensional Pareto frontier that describes the optimal trade-offs between explanatory accuracy, simplicity, and relevance. Multiple rounds are played at different levels of abstraction, allowing the players to explore overlapping causal (...) patterns of variable granularity and scope. We characterise the conditions under which such a game is almost surely guaranteed to converge on a optimal explanation surface in polynomial time, and highlight obstacles that will tend to prevent the players from advancing beyond certain explanatory thresholds. The game serves a descriptive and a normative function, establishing a conceptual space in which to analyse and compare existing proposals, as well as design new and improved solutions. (shrink)

Machine learning algorithms may radically improve our ability to diagnose and treat disease. For moral, legal, and scientific reasons, it is essential that doctors and patients be able to understand and explain the predictions of these models. Scalable, customisable, and ethical solutions can be achieved by working together with relevant stakeholders, including patients, data scientists, and policy makers.

We often get evidence concerning the reliability of our own thinking about some particular matter. This “higher-order evidence” can come from the disagreement of others, or from information about our being subject to the effects of drugs, fatigue, emotional ties, implicit biases, etc. This paper examines some pros and cons of two fairly general models for accommodating higher-order evidence. The one that currently seems most promising also turns out to have the consequence that epistemic akrasia should occur more frequently than (...) is sometimes supposed. But it also helps us see why this might not be a bad thing. (shrink)

Formally-inclined epistemologists often theorize about ideally rational agents--agents who exemplify rational ideals, such as probabilistic coherence, that human beings could never fully realize. This approach can be defended against the well-know worry that abstracting from human cognitive imperfections deprives the approach of interest. But a different worry arises when we ask what an ideal agent should believe about her own cognitive perfection (even an agent who is in fact cognitively perfect might, it would seem, be uncertain of this fact). Consideration (...) of this question reveals an interesting feature of the structure of our epistemic ideals: for agents with limited information, our epistemic ideals turn out to conflict with one another. (shrink)

Artificial intelligence has historically been conceptualized in anthropomorphic terms. Some algorithms deploy biomimetic designs in a deliberate attempt to effect a sort of digital isomorphism of the human brain. Others leverage more general learning strategies that happen to coincide with popular theories of cognitive science and social epistemology. In this paper, I challenge the anthropomorphic credentials of the neural network algorithm, whose similarities to human cognition I argue are vastly overstated and narrowly construed. I submit that three alternative supervised learning (...) methods—namely lasso penalties, bagging, and boosting—offer subtler, more interesting analogies to human reasoning as both an individual and a social phenomenon. Despite the temptation to fall back on anthropomorphic tropes when discussing AI, however, I conclude that such rhetoric is at best misleading and at worst downright dangerous. The impulse to humanize algorithms is an obstacle to properly conceptualizing the ethical challenges posed by emerging technologies. (shrink)

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

Suppose justice depends on some very unlikely good behavior. In that case the true (or correct, or best) theory of justice might have no practical value. But then, what good would it be? I consider analogies with science and mathematics in order to test various ways of tying their the value of intellectual work to practice, though I argue that these fail. If their value, or that of some political theory, is not practical then what is good about them? As (...) for political theory, I consider the question of what would even count as an answer to this question, and I conclude with the tentative proposal that it is valuable to come to understand something that is, itself, important. (shrink)

Metaphysically speaking, just what is trying? There appear to be two options: to place it on the side of the mind or on the side of the world. Volitionists, who think that to try is to engage in a mental act, perhaps identical to willing and perhaps not, take the mind-side option. The second, or world-side option identifies trying to do something with one of the more basic actions by which one tries to do that thing. The trying is then (...) said to be identical with the physical action. -/- After carefully stating the second, world-side view, I produce two arguments against it. The first relies on the fact that if a=b and b=c, then a=c, sometimes put colloquially as: if something is identical to two things, then the two things must be identical to one another. In the case of trying, one might try to do something by performing a plurality of simultaneous actions, a sure sign that the relation between the trying and the plurality of actions by which one tries must be some relation other than identity. -/- The second argument discusses two cases, recorded in William James’ The Principles of Psychology, of a patient who tries but who performs no action whatever. This is sometimes called ‘naked trying’. A recent attempt at denying that there can be such cases of naked trying is examined and dismissed. (shrink)

We often get evidence that bears on the reliability of some of our own first-order reasoning. The rational response to such “higher-order” evidence would seem to depend on a rational assessment of how reliable we can expect that reasoning to be, in light of the higher-order evidence. “Independence” principles are intended to constrain this reliability-assessment, so as to prevent question-begging reliance on the very reasoning being assessed. However, extant formulations of Independence principles tend to be vague or ambiguous, and coming (...) up with a tolerably precise formulation turns out to be tricky. This paper aims to make some progress toward developing a more precise Independence principle, and also to highlight some of the difficulties the project entails. The hope is to take a step toward understanding how rational belief is informed by evidence bearing on agents’ cognitive reliability. (shrink)

Many writers have recently urged that the epistemic rationality of beliefs can depend on broadly pragmatic (as opposed to truth-directed) factors. Taken to an extreme, this line of thought leads to a view on which there is no such thing as a distinctive epistemic form of rationality. A series of papers by Susanna Rinard develops the view that something like our traditional notion of pragmatic rationality is all that is needed to account for the rationality of beliefs. This approach has (...) undeniable attractions. But examining different versions of the approach uncovers problems. The problems help reveal why epistemic rationality is an indispensable part of understanding rationality—not only of beliefs, but of actions. We may or may not end up wanting to make a place, in our theories of epistemic rationality, for factors such as the practical or moral consequences of having beliefs. But a purely pragmatic notion of rationality—one that’s stripped of any component of distinctively epistemic evaluation—cannot do all the work that we need done. (shrink)

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

Analogien lassen sich aus unserem vernünftigen Nachdenken und Argumentieren kaum wegdenken. Ganz zurecht stellen sie eines der klassischen Themen der Argumentationstheorie dar. Doch wie genau sollte die argumentative Rolle von Analogien in Argumentrekonstruktionen dargestellt werden? Das ist die Leitfrage dieses Beitrags. Zunächst wird mit Michael Dummetts Schach-Analogie ein prominentes Beispiel dargestellt und eine genauere Charakterisierung des Analogiebegriffs vorgeschlagen. Danach wird die gängigste Rekonstruktionsform von Analogien diskutiert, das Analogieargument, und in einigen Punkten verfeinert. Vor diesem Hintergrund schlägt der Beitrag eine zweite, (...) alternative Rekonstruktionsform vor, in der zwei analoge Argumente an die Stelle eines einzelnen Analogiearguments treten. Nachdem diese beiden Rekonstruktionsformen an einem weiteren berühmten Beispiel vorgeführt wurden, an Peter Singers Teich-Analogie, wird diskutiert, wie sich diese beiden Varianten gegenseitig ergänzen und welche Stärken und Schwächen sie haben. Es zeigt sich, dass Analogien nicht nur in Form von Analogieargumenten einen zentralen Topos eines Einzelarguments darstellen. Darüber hinaus kann die Untersuchung analoger Argumente bereits selbst als argumentationstheoretische Topik verstanden werden. (shrink)

Cognitive modules are internal mental structures. Some theorists and empirical researchers hypothesise that the human mind is either partially or massively comprised of structures that are modular in nature. Is the massive modularity of mind hypothesis a cogent view about the ontological nature of human mind or is it, rather, an effective/ineffective adaptationist discovery heuristic for generating predictively successful hypotheses about both heretofore unknown psychological traits and unknown properties of already identified psychological traits? Considering the inadequacies of the case in (...) favour of massive modularity as an ontological hypothesis, I suggest approaching and valuing massive modularity as an adaptationist discovery heuristic. (shrink)

I claim that, in the Topics, Aristotle advises dialectical questioners to intentionally argue fallaciously in order to escape from some dialectically awkward positions, and I work through the consequences of that claim. It will turn out that, although there are important exceptions, the techniques for finding arguments described in Topics I–VII are, by and large, locations that Aristotle thought of as appropriate for use in philosophical inquiry. The text that grounds this claim, however, raises a further problem: it highlights the (...) solitary nature of philosophical inquiry, which puts into question the philosophical relevance of Topics VIII. I find that the Topics provides inadequate grounds for thinking that Aristotle saw Topics VIII as describing standards or techniques of argument that were appropriate for philosophy, and so these texts cannot be used by contemporary commentators to shed light on Aristotle's philosophical practice. Finally, although Aristotle saw philosophy as a solitary activity, he th.. (shrink)

Recently, John Fischer has applied Frankfurt’s well-known counter-example to the principle of alternate possibilities to refute the traditional libertarian position which holds that a necessary condition for an agent’s decision (choice) to be free in the sense of freedom required for moral responsibility is that the decision not be causally determined, and that the agent could have avoided making it. Fischer’s argument has consequently led various philosophers to develop libertarian accounts of freedom which try to dispense with the avoidability constraint (...) on freedom. My purpose in this article is to show that Fischer’s attack on traditional libertarianism fails, and, therefore, it is premature to abandon that position. (shrink)

Eva Erman and Niklas Möller have recently presented a trenchant critique of my (2015) argument that ideal normative theories are uninformative for certain practical purposes. Their criticisms are largely correct. In this note, I develop the ideas behind my earlier argument in a way that circumvents their critique and explains more clearly why ideal theory is uninformative for certain purposes while leaving open the possibility that it might be informative for other purposes.

I suggest that the social justice issues raised by Internet regulation can be exposed and examined by using a methodology adapted from that described by John Rawls in 'A Theory of Justice'. Rawls' theory uses the hypothetical scenario of people deliberating about the justice of social institutions from the 'original position' as a method of removing bias in decision-making about justice. The original position imposes a 'veil of ignorance' that hides the particular circumstances of individuals from them so that they (...) will not be influenced by self-interest. I adapt Rawls' methodology by introducing an abstract description of information technology to those deliberating about justice from within the original position. This abstract description focuses on computing devices that users can use to access information and information networks that information devices use to communicate. The abstractness of this description prevents the particular characteristics of the Internet and the computing devices in use from influencing the decisions about the just use and regulation of information technology and networks. From this abstract position, the principles of justice that the participants accept for the rest of society will also apply to the computing devices people use to communicate, and to Internet regulation. (shrink)

Many political philosophers hold the Feasible Alternatives Principle (FAP): justice demands that we implement some reform of international institutions P only if P is feasible and P improves upon the status quo from the standpoint of justice. The FAP implies that any argument for a moral requirement to implement P must incorporate claims whose content pertains to the causal processes that explain the current state of affairs. Yet, philosophers routinely neglect the need to attend to actual causal processes. This undermines (...) their arguments concerning moral requirements to reform international institutions. The upshot is that philosophers’ arguments must engage in causal analysis to a greater extent than is typical. -/- [Supplement: Handout available at http://db.tt/fyuVW3Xv]. (shrink)

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

This is a contribution to the symposium on Tim Scanlon’s Being Realistic about Reasons. We have two aims here: First, we ask for more details about Scanlon’s meta-metaphysical view, showing problems with salient clarifications. And second, we raise independent objections to the view – to its explanatory productivity, its distinctness, and the argumentative support it enjoys.

There is some consensus among orthodox category theorists that the concept of adjoint functors is the most important concept contributed to mathematics by category theory. We give a heterodox treatment of adjoints using heteromorphisms that parses an adjunction into two separate parts. Then these separate parts can be recombined in a new way to define a cognate concept, the brain functor, to abstractly model the functions of perception and action of a brain. The treatment uses relatively simple category theory and (...) is focused on the interpretation and application of the mathematical concepts. (shrink)

It is natural to think that rationality imposes some relationship between what a person believes, and what she believes about what she’s rational to believe. Epistemic akrasia—for example, believing P while believing that P is not rational to believe in your situation—is often seen as intrinsically irrational. This paper argues otherwise. In certain cases, akrasia is intuitively rational. Understanding why akratic beliefs in those case are indeed rational provides a deeper explanation how typical akratic beliefs are irrational—an explanation that does (...) not flow from akrasia per se. This understanding also allows us to diagnose where general anti-akratic arguments go wrong. We can then see why even principles designed to allow only moderate akrasia fail, and also why recognizing the possibility of rational akratic beliefs does not call for finding some other epistemic defect in agents who believe akratically. Believing akratically, in itself, is nothing to apologize for. (shrink)

Recent years have seen a surge in online collaboration between experts and amateurs on scientific research. In this article, we analyse the epistemological implications of these crowdsourced projects, with a focus on Zooniverse, the world’s largest citizen science web portal. We use quantitative methods to evaluate the platform’s success in producing large volumes of observation statements and high impact scientific discoveries relative to more conventional means of data processing. Through empirical evidence, Bayesian reasoning, and conceptual analysis, we show how information (...) and communication technologies enhance the reliability, scalability, and connectivity of crowdsourced e-research, giving online citizen science projects powerful epistemic advantages over more traditional modes of scientific investigation. These results highlight the essential role played by technologically mediated social interaction in contemporary knowledge production. We conclude by calling for an explicitly sociotechnical turn in the philosophy of science that combines insights from statistics and logic to analyse the latest developments in scientific research. (shrink)

Both Representation Theorem Arguments and Dutch Book Arguments support taking probabilistic coherence as an epistemic norm. Both depend on connecting beliefs to preferences, which are not clearly within the epistemic domain. Moreover, these connections are standardly grounded in questionable definitional/metaphysical claims. The paper argues that these definitional/metaphysical claims are insupportable. It offers a way of reconceiving Representation Theorem arguments which avoids the untenable premises. It then develops a parallel approach to Dutch Book Arguments, and compares the results. In each case (...) preferencedefects serve as a diagnostic tool, indicating purely epistemic defects. (shrink)

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

The chapter challenges hyperbolic claims about the centrality of appreciation of beauty to Buddhism. Within the texts, attitudes are more mixed, except for a form of 'inner beauty' - the beauty found in the expression of virtues or wisdom in forms of bodily comportment. Inner beauty is a stable presence throughout Buddhist history, practices, and art.

The proposal I offer attempts to remedy the inadequacies of exclusive focus on well-being for moral purposes. The proposal is this: We should allow the agent to decide for herself where she wants to throw the weight that is her due in moral reflection, with the proviso that she understands the way that her weight will be aggregated with others in reaching a moral outcome. I will call this the "autonomy principle." The autonomy principle, I claim, provides the consequentialist's best (...) prospect for taking people into account morally in a way that they endorse. (shrink)

We often get reason to doubt the reliability of some of our own reasoning. The rational response to such evidence would seem to depend on how reliable one should estimate that reasoning to be. Independence principles constrain that reliability-assessment, to prevent question-begging reliance on the very reasoning being assessed. But this has consequences some find disturbing: can it be rational for an agent to bracket some of her reasons—which she may, after all, be assessing impeccably? So several arguments have been (...) offered against the very idea of an Independence principle. This paper argues that looking closely at these arguments actually strengthens the case for Independence, and yields some guidance in meeting a formidable challenge for Independence-defenders: formulating the principle in an adequate way. (shrink)

The article discusses retributive justice and punitive restraint in response to the worst types of crime. I take the Breivik Case as a starting point. Anders Behring Breivik was sentenced to 21 years of preventive detention for killing 69 people, mainly youths, at Utøya and 8 people in Oslo on July 22nd, 2011. Retributivist theories as well as commonly held retributive intuitions suggest that much harsher punishment is required for such crimes. According to some retributivist theories, most notably on the (...) influential theories of Kant and Hegel, the death penalty is warranted for murderers like Breivik. This suggests that the rationale for punitive restraint in a case like the Breivik Case can only be found in forward- looking, consequentialist theories of punishment, or by adding to retributivist theories a side-constraint in the form of a principle of parsimony. However, I argue that if we look closer at the function of punishment in the retributivist theories of Kant and Hegel, they too imply a rationale for punitive restraint, even for such horrific crimes as here discussed. Against Kant and Hegel’s own views on the death penalty, I argue that their broader “freedom theories” of retributive justice do not imply the justice of the death penalty or life imprisonment. In the last part of the article, I explore differences in the concepts of freedom entailed by Kant and Hegel’s theories, and I relate these to some of the background factors relevant to the Breivik Case. (shrink)

Corroborative evidence can have a dual function in argument whereby not only does it have a primary function of providing direct evidence supporting the main conclusion, but it also has a secondary, bolstering function which increases the probative value of some other piece of evidence in the argument. It has been argued (Redmayne, 2000) that this double function gives rise to the fallacy of double counting whereby the probative weight of evidence is overvalued by counting it twice. Walton has proposed (...) several models of corroborative evidence, each of which seems to accept the fallaciousness of double counting thereby seeming to deny the dual function of corroborative evidence. Against this view, I argue that the bolstering effect is legitimate, and can be explained by recourse to inference to the best explanation. (shrink)

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

We lead off this issue of Childhood and Philosophy with a collection of testimonies, homages, and brief memoirs offered from around the world in response to the death of the founder of Philosophy for Children, Matthew Lipman on December 26, 2010, at the age of 87. To characterize Lipman as “founder” is completely accurate, but barely evokes the role he played in conceiving, giving birth to, and nurturing this curriculum cum pedagogy that became a movement, and which has taken root (...) in over 40 countries, from Iceland to Nigeria to Taiwan to Chile and everywhere in between. The movement itself is broader than the program, which has in fact experienced multiple transformations in multiple contexts over its half-century of life. In fact, as many of the testimonies below either state outright or imply, the movement is an emancipatory one and thus implicitly political, infused with all the long-suffering hope for our species inspired in us by the fact of natality, and by our own intuitive faith in the transformative power of reason—or as Lipman came to call it, “reasonableness.” For those seized by its educational possibilities, it presents a sudden influx of sunlight and fresh air into an institution long stultified by its own rigid habitus, and promises the reconstruction of schooling in the image of authentic democratic practice that recognizes and honors the unique capacities of children. As Philosophy in the Classroom—Lipman’s first and now classic statement of educational philosophy--puts it, the movement promises a re-orientation of the goal of education from information (or “learning”) to meaning, and inaugurates the dialogue with childhood and children that follows from that. Lipman was not just founder of this movement but creator, inventor, developer, convener, organizer, faithful soldier, ambassador, apologist, polemicist, propagandist, and, finally, undying optimist. (shrink)

Estlund has replied to my "Motivational Demands on the Limits of Justice". This short note is my rejoinder.

This paper shows how the universals of category theory in mathematics provide a model (in the Platonic Heaven of mathematics) for the self-predicative strand of Plato's Theory of Forms as well as for the idea of a "concrete universal" in Hegel and similar ideas of paradigmatic exemplars in ordinary thought. The paper also shows how the always-self-predicative universals of category theory provide the "opposite bookend" to the never-self-predicative universals of iterative set theory and thus that the paradoxes arose from having (...) one theory (e.g., Frege's Paradise) where universals could be either self-predicative or non-self-predicative (instead of being always one or always the other). (shrink)

This chapter develops a ``nesting'' model of deontic normative principles (i.e., principles that specify moral constraints upon action) as a means to understanding the notion of a ``fundamental normative principle''. I show that an apparently promising attempt to make sense of this notion such that the ``real'' or ``fundamental'' demands of justice upon action are not constrained by social facts is either self-defeating or relatively unappealing. We should treat fundamental normative principles not as specifying fundamental constraints upon action, but as (...) specifying basic criteria for comparatively evaluating and ranking possibilities. (shrink)

If we want to see justice done with regard to responsibility, then we must either (i) allow that people are never morally responsible, (iia) show that luck is not ubiquitous or at least that (iib) ubiquitous luck is not moral, or (iii) show that ascriptions of responsibility can retain justice despite the omnipresence of luck. This paper defends (iii); ascriptions of responsibility can be just even though luck is ubiquitous.

Zetetic norms govern our acts of inquiry. Epistemic norms govern our beliefs and acts of belief formation. Recently, Jane Friedman (2020) has defended that we should think of these norms as conforming a single normative domain: epistemology should take a zetetic turn. Though this unification project implies a substantive re-elaboration of our traditional epistemic norms, Friedman argues that the reasons supporting the turn are robust enough to warrant its revisionary implications. In this paper, I suggest we should read Friedman’s proposal (...) as a dilemma. Either we believe the zetetic turn is well-motivated and undertake the task of looking for the proper revision of our traditional epistemic norms, or we take the revisionary implications of the turn to be unacceptable, in which case our challenge is to show why a zetetic epistemology is not a well-motivated project after all. After presenting this dilemma, I make a case for endorsing its second horn by presenting a two-pronged argument against Friedman’s project. First, I show that the revisionary implications of the zetetic turn are more far-reaching than expected. Second, I defend that the most persuasive reasons for endorsing the turn are not strong enough to support it. Taken together, these considerations speak against accepting the zetetic turn and the revisionary implications that come with it. (shrink)

Saunders Mac Lane famously remarked that "Bourbaki just missed" formulating adjoints in a 1948 appendix (written no doubt by Pierre Samuel) to an early draft of Algebre--which then had to wait until Daniel Kan's 1958 paper on adjoint functors. But Mac Lane was using the orthodox treatment of adjoints that only contemplates the object-to-object morphisms within a category, i.e., homomorphisms. When Samuel's treatment is reconsidered in view of the treatment of adjoints using heteromorphisms or hets (object-to-object morphisms between objects in (...) different categories), then he, in effect, isolated the concept of a left representation solving a universal mapping problem. When dualized to obtain the concept of a right representation, the two halves only need to be united to obtain an adjunction. Thus Samuel was only a now-simple dualization away for formulating adjoints in 1948. Apparently, Bodo Pareigis' 1970 text was the first and perhaps only text to give the heterodox "new characterization" (i.e., heteromorphic treatment) of adjoints. Orthodox category theory uses various relatively artificial devices to avoid formally recognizing hets--even though hets are routinely used by the working mathematician. Finally we consider a "philosophical" question as to whether the most important concept in category theory is the notion of an adjunction or the notion of a representation giving a universal mapping property (where adjunctions arise as the special case of a bi-representation of dual universal mapping problems). (shrink)

The new logic of partitions is dual to the usual Boolean logic of subsets (usually presented only in the special case of the logic of propositions) in the sense that partitions and subsets are category-theoretic duals. The new information measure of logical entropy is the normalized quantitative version of partitions. The new approach to interpreting quantum mechanics (QM) is showing that the mathematics (not the physics) of QM is the linearized Hilbert space version of the mathematics of partitions. Or, putting (...) it the other way around, the math of partitions is a skeletal version of the math of QM. The key concepts throughout this progression from logic, to logical information, to quantum theory are distinctions versus indistinctions, definiteness versus indefiniteness, or distinguishability versus indistinguishability. The distinctions of a partition are the ordered pairs of elements from the underlying set that are in different blocks of the partition and logical entropy is defined (initially) as the normalized number of distinctions. The cognate notions of definiteness and distinguishability run throughout the math of QM, e.g., in the key non-classical notion of superposition (= ontic indefiniteness) and in the Feynman rules for adding amplitudes (indistinguishable alternatives) versus adding probabilities (distinguishable alternatives). (shrink)