This is a description and analysis of the intellectual culture of the eighteenth-century Church of England. Challenging conventional perceptions of the Church as an intellectually moribund institution, the study traces the influence of thinkers such as Locke, Newton, Burke, and Gibbon on theological debate in England during this period.

Susanne K. Langer is best known as a philosopher of culture and student of Ernst Cassirer. In this chapter, however, I argue that this standard picture ignores her contributions to the development of analytic philosophy in the 1920s and 1930s. I reconstruct the reception of Langer’s first book *The Practice of Philosophy*—arguably the first sustained defense of analytic philosophy by an American philosopher—and describe how prominent European philosophers of science such as Moritz Schlick, Rudolf Carnap, and Herbert Feigl viewed (...) her as one of the most important allies in the United States. In the second half of this chapter, I turn to Langer’s best-selling *Philosophy in a New Key* and reconstruct her attempts to broaden the scope of the, by then, rapidly growing U.S. analytic movement. I argue that her book anticipated various developments in analytic philosophy but was largely ignored by her former colleagues. I end the chapter by offering some clues as to why New Key did not incite the same laudatory responses from analytic philosophers as her earlier work. (shrink)

If the contents of our thoughts are partly determined by facts outside our heads, can we still know those contents directly, without investigating our environment? What if we were surreptitiously switched to Twin-Earth? Would we know the contents of our thoughts under these unusual circumstances? By looking carefully at what determines the content of a second-order thought, a candidate for self-knowledge, the paper argues that we can know the contents of our thoughts directly, even after being switched. Learning about the (...) switch, however, does raise some interesting difficulties. (shrink)

Concerned about the harmful effects of pervasive political ignorance, epistocrats argue that we should amplify the political power of politically knowledgeable citizens. But their proposals have been widely criticized on the grounds that they are susceptible to manipulation and abuse. Instead of empowering the knowledgeable, incumbents who control epistocratic institutions are likely to selectively empower their supporters, thereby increasing their share of power. Call this the problem of political capture. In this paper I argue for two claims. First, I claim (...) that the problem of political capture for epistocracy has been overstated. Incumbents who want to increase their share of power will encounter certain obstacles that complicate the task of capturing the system. Second, however, I claim that if the problem is nevertheless sufficiently serious, it militates against not just epistocracy, but also many other institutions. The problem of political capture is thus far wider than typically recognized. (shrink)

ABSTRACT: This paper offers a generic revenge-proof solution to the Sorites paradox that is compatible with several philosophical approaches to vagueness, including epistemicism, supervaluationism, psychological contextualism and intuitionism. The solution is traditional in that it rejects the Sorites conditional and proposes a modally expressed weakened conditional instead. The modalities are defined by the first-order logic QS4M+FIN. (This logic is a modal companion to the intermediate logic QH+KF, which places the solution between intuitionistic and classical logic.) Borderlineness is introduced modally as (...) usual. The solution is innovative in that its modal system brings out the semi-determinability of vagueness. Whether something is borderline and whether a predicate is vague or precise is only semi-determinable: higher-order vagueness is columnar. Finally, the solution is based entirely on two assumptions. (1) It rejects the Sorites conditional. (2) It maintains that if one specifies borderlineness in terms of the ‒suitably interpreted‒ modal logic QS4M+FIN, then one can explain why the Sorites appears paradoxical. From (1)+(2) it results that one can tell neither where exactly in a Sorites series the borderline zone starts and ends nor what its extension is. Accordingly, the solution is also called agnostic. (shrink)

There is a trade-off between specificity and accuracy in existing models of belief. Descriptions of agents in the tripartite model, which recognizes only three doxastic attitudes—belief, disbelief, and suspension of judgment—are typically accurate, but not sufficiently specific. The orthodox Bayesian model, which requires real-valued credences, is perfectly specific, but often inaccurate: we often lack precise credences. I argue, first, that a popular attempt to fix the Bayesian model by using sets of functions is also inaccurate, since it requires us to (...) have interval-valued credences with perfectly precise endpoints. We can see this problem as analogous to the problem of higher order vagueness. Ultimately, I argue, the only way to avoid these problems is to endorse Insurmountable Unclassifiability. This principle has some surprising and radical consequences. For example, it entails that the trade-off between accuracy and specificity is in-principle unavoidable: sometimes it is simply impossible to characterize an agent’s doxastic state in a way that is both fully accurate and maximally specific. What we can do, however, is improve on both the tripartite and existing Bayesian models. I construct a new model of belief—the minimal model—that allows us to characterize agents with much greater specificity than the tripartite model, and yet which remains, unlike existing Bayesian models, perfectly accurate. (shrink)

We discuss the one–many problem as it appears in the Philebus and find that it is not restricted to the usually understood problem about the identity of universals across particulars that instantiate them (the Hylomorphic Dispersal Problem). In fact some of the most interesting aspects of the problem occur purely with respect to the relationship between Forms. We argue that contemporary metaphysicians may draw from the Philebus at least three different one–many relationships between universals themselves: instantiation, subkind and part, and (...) thereby construct three new ‘problems of the one and the many’ (an Eidetic Dispersal Problem, a Genus–Species Problem, and an Eidetic Combination Problem), which are as problematic as the version generally discussed. We then argue that this taxonomy sheds new and interesting light on certain discussions of higher-order universals in recent Australian analytic philosophy. (shrink)

Although artificial intelligence has been given an unprecedented amount of attention in both the public and academic domains in the last few years, its convergence with other transformative technologies like cloud computing, robotics, and augmented/virtual reality is predicted to exacerbate its impacts on society. The adoption and integration of these technologies within industry and manufacturing spaces is a fundamental part of what is called Industry 4.0, or the Fourth Industrial Revolution. The impacts of this paradigm shift on the human operators (...) who continue to work alongside and symbiotically with these technologies in the industry bring with it novel ethical issues. Therefore, how to design these technologies for human values becomes the critical area of intervention. This paper takes up the case study of robotic AI-based assistance systems to explore the potential value implications that emerge due to current design practices and use. The design methodology known as Value Sensitive Design (VSD) is proposed as a sufficient starting point for designing these technologies for human values to address these issues. (shrink)

Politics is full of people who don’t care about the facts. Still, while not caring about the facts, they are often concerned to present themselves as caring about them. Politics, in other words, is full of bullshitters. But why? In this paper I develop an incentives-based analysis of bullshit in politics, arguing that it is often a rational response to the incentives facing different groups of agents. In a slogan: bullshit in politics pays, sometimes literally. After first outlining an account (...) of bullshit (Section 1), I discuss the incentives driving three different groups of agents to bullshit: politicians, the media, and voters (Section 2). I then examine several existing proposals to combat bullshit in politics, arguing that each will fail because they ignore the relevant underlying incentives (Section 3). I conclude somewhat pessimistically that a certain amount of bullshit in politics is inevitable (Section 4). (shrink)

Proponents of epistocracy worry that high levels of voter ignorance can harm democracies. To combat such ignorance, they recommend allocating comparatively more political power to more politically knowledgeable citizens. In response, some recent critics of epistocracy contend that epistocratic institutions risk causing even more harm, since much evidence from political psychology indicates that more politically knowledgeable citizens are typically more biased, less open-minded, and more prone to motivated reasoning about political matters than their less knowledgeable counterparts. If so, perhaps epistocratic (...) institutions will perform worse epistemically than corresponding democratic institutions. Call this 'the problem of epistocratic irrationality'. This paper argues that the problem of epistocratic irrationality can be overcome. First, I argue that critics of epistocracy have overlooked several complications regarding the psychological data they claim shows that more knowledgeable citizens are less politically rational. Second, I argue that appropriately designed epistocratic institutions could overcome the problem of epistocratic irrationality even if such critics have interpreted the data correctly. I first explore whether refined selection mechanisms could allow epistocrats to avoid empowering less rational citizens, before assessing the prospects of implementing only those epistocratic institutions with a solid track record of reliable performance. (shrink)

ABSTRACT: I argue that there is no evidence that Epicurus dealt with the kind of free-will problem he is traditionally associated with; i.e. that he discussed free choice or moral responsibility grounded on free choice, or that the "swerve" was involved in decision processes. Rather, for Epicurus, actions are fully determined by the agent's mental disposition at the outset of the action. Moral responsibility presupposes not free choice but that the person is unforced and causally responsible for the action. This (...) requires the agent's ability to influence causally, on the basis of their beliefs, the development of their behavioral dispositions. The "swerve" was intended to explain the non-necessity of agency without undermining Epicurus' atomistic explanation of the order in the universe, viz. by making the mental dispositions of adults non-necessary. (shrink)

Most descriptions of higher-order vagueness in terms of traditional modal logic generate so-called higher-order vagueness paradoxes. The one that doesn't is problematic otherwise. Consequently, the present trend is toward more complex, non-standard theories. However, there is no need for this.In this paper I introduce a theory of higher-order vagueness that is paradox-free and can be expressed in the first-order extension of a normal modal system that is complete with respect to single-domain Kripke-frame semantics. This is the system QS4M+BF+FIN. It corresponds (...) to the class of transitive, reflexive and final frames. With borderlineness defined logically as usual, it then follows that something is borderline precisely when it is higher-order borderline, and that a predicate is vague precisely when it is higher-order vague.Like Williamson's, the theory proposed here has no clear borderline cases in Sorites sequences. I argue that objections that there must be clear borderline cases ensue from the confusion of two notions of borderlineness—one associated with genuine higher-order vagueness, the other employed to sort objects into categories—and that the higher-order vagueness paradoxes result from superimposing the second notion onto the first. Lastly, I address some further potential objections. (shrink)

One fairly common view about practical reason has it that whether you have a reason to act is not determined by what you know, or believe, or are justified in believing. Your reasons are determined by the facts. Perhaps there are two kinds of reasons, and however it goes with motivating reasons, normative reasons are determined by the facts, not your take on the facts. One fairly common version of this view has it that what's reasonable for you to do (...) is determined by what you know or believe. Any view that drives this kind of wedge between reasons and rationality is inherently unstable. I argue against this view, criticize the arguments typically presented in its favor, and sketch an alternative. (shrink)

It is commonly held that political ignorance is rational, a response to the high costs and low benefits of acquiring political information. But many recent critics of the claim that political ignorance is rational instead urge that it is a simple consequence of agents not concerning themselves with the acquisition of political information whatsoever. According to such critics, political ignorance is inadvertent radical ignorance rather than a rational response to the incentives faced by agents in democracies. And since political ignorance (...) is not a response to incentives, these critics urge, it cannot be ameliorated by incentivizing the acquisition of political information. This paper has two goals. First, I show that these seemingly competing accounts of political ignorance are in fact complementary, together explaining much political ignorance. Indeed, there is a sense in which political ignorance can be both rational and radical at the same time. Second, I more closely examine the relationship between incentives, kinds of political ignorance, and the acquisition of political information. On the one hand, from the fact that political ignorance is rational it does not follow that it can be overcome by incentivizing the acquisition of information. On the other hand, from the fact that political ignorance is radical it does not follow that it cannot be overcome by incentivizing the acquisition of information. Lastly, the complexity of the information in question is more relevant to determining whether ignorance can be overcome than whether such ignorance is rational or radical. (shrink)

In this extended essay, I argue that Frege plagiarized the Stoics --and I mean exactly that-- on a large scale in his work on the philosophy of logic and language as written mainly between 1890 and his death in 1925 (much of which published posthumously) and possibly earlier. I use ‘plagiarize' (or 'plagiarise’) merely as a descriptive term. The essay is not concerned with finger pointing or casting moral judgement. The point is rather to demonstrate carefully by means of detailed (...) evidence that there are numerous (over a hundred) and extensive parallels both in formulation and --more importantly-- in content between the Stoics and Frege, parallels so plentiful that one would be hard pressed to brush them off as coincidence. These parallels include several that appear to occur in no other modern works that were published before Frege’s own and were accessible to him. Additionally, a cluster of corroborating historical data is adduced to support the suggestion, showing how easy it would have to been for Frege to plagiarize the Stoics. This (first) part of the essay is easy to read and vaguely entertaining, or so I hope. -/- (Corrigendum: At school, Frege likely had seven, not ten, years of intensive Latin and four years of intensive ancient Greek courses.). (shrink)

This paper argues that the role of knowledge in the explanation and production of intentional action is as indispensable as the roles of belief and desire. If we are interested in explaining intentional actions rather than intentions or attempts, we need to make reference to more than the agent’s beliefs and desires. It is easy to see how the truth of your beliefs, or perhaps, facts about a setting will be involved in the explanation of an action. If you believe (...) you can stop your car by pressing a pedal, then, if your belief is true, you will stop. If it is false, you will not. By considering cases of unintentional actions, actions involving luck and cases of deviant causal chains, I show why knowledge is required. By looking at the notion of causal relevance, I argue that the connection between knowledge and action is causal and not merely conceptual. (shrink)

ABSTRACT: This is a short companion piece to my ‘Found in Translation – Aristotle’s Nicomachean Ethics III.5 1113b7-8 and its Reception’ in which I examine in close textual analysis the philosophical question whether these two lines from the Nicomachean Ethics provide any evidence that Aristotle discussed free choice – as is not infrequently assumed. The result is that they do not, and that the claim that they do tends to be based on a mistranslation of the Greek. (There is some (...) inevitable overlap with Part 1 of the 'Found in Translation' paper.). (shrink)

This paper argues for externalism about justification on the basis of thought experiments. I present cases in which two individuals are intrinsically and introspectively indistinguishable and in which intuitively, one is justified in believing that p while the other is not. I also examine an argument for internalism based on the ideas that we have privileged access to whether or not our own beliefs are justified and that only internalism is compatible with this privilege. I isolate what I take to (...) be the most plausible form of privileged access to justification and show that it is compatible with externalism. (shrink)

Conceptual engineers endeavor to improve our concepts. But their endeavors face serious practical difficulties. One such difficulty – rational conceptual conflict - concerns the degree to which agents are incentivized to impede the efforts of conceptual engineers, especially in many of the contexts within which conceptual engineering is viewed as a worthwhile pursuit. Under such conditions, the already difficult task of conceptual engineering becomes even more difficult. Consequently, if they want to increase their chances of success, conceptual engineers should pay (...) closer attention to – and devise strategies to mitigate – rational conceptual conflict. After outlining the phenomenon at greater length and mapping its connections to other similar practical problems (Section 1), I explore the dynamics of such conflict by way of several detailed case studies (Section 2). In particular, I focus on cases driven by material, social, and moral incentives. I then consider some important methodological implications of rational conceptual conflict (Section 3). Among other things, I argue that conceptual engineers should focus more heavily on cultivating settings that modify the payoffs and penalties associated with conceptual conflict. By such indirect means, they can incentivize conceptual cooperation rather than conflict, thus making it easier to achieve success in conceptual engineering. Section 4 concludes. (shrink)

We argue that the extant evidence for Stoic logic provides all the elements required for a variable-free theory of multiple generality, including a number of remarkably modern features that straddle logic and semantics, such as the understanding of one- and two-place predicates as functions, the canonical formulation of universals as quantified conditionals, a straightforward relation between elements of propositional and first-order logic, and the roles of anaphora and rigid order in the regimented sentences that express multiply general propositions. We consider (...) and reinterpret some ancient texts that have been neglected in the context of Stoic universal and existential propositions and offer new explanations of some puzzling features in Stoic logic. Our results confirm that Stoic logic surpasses Aristotle’s with regard to multiple generality, and are a reminder that focusing on multiple generality through the lens of Frege-inspired variable-binding quantifier theory may hamper our understanding and appreciation of pre-Fregean theories of multiple generality. (shrink)

Since Mates’ seminal Stoic Logic there has been uncertainty and debate about how to treat the term anapodeiktos when used of Stoic syllogisms. This paper argues that the customary translation of anapodeiktos by ‘indemonstrable’ is accurate, and it explains why this is so. At the heart of the explanation is an argument that, contrary to what is commonly assumed, indemonstrability is rooted in the generic account of the Stoic epistemic notion of demonstration. Some minor insights into Stoic logic ensue.

ABSTRACT: This paper serves two purposes: (i) it can be used by students as an introduction to chapters 1-5 of book iii of the NE; (ii) it suggests an answer to the unresolved question what overall objective this section of the NE has. The paper focuses primarily on Aristotle’s theory of what makes us responsible for our actions and character. After some preliminary observations about praise, blame and responsibility (Section 2), it sets out in detail how all the key notions (...) of NE iii 1-5 are interrelated (Sections 3-9). The setting-out of these interconnections makes it then possible to provide a comprehensive interpretation of the purpose of the passage. Its primary purpose is to explain how agents are responsible for their actions not just insofar as they are actions of this kind or that, but also insofar as they are noble or base: agents are responsible for their actions qua noble or base, because, typically via choice, their character dispositions are a causal factor of those actions (Section 10). The paper illustrates the different ways in which agents can be causes of their actions by means of Aristotle’s four basic types of agents (Section 11). A secondary purpose of NE iii 1-5 is to explain how agents can be held responsible for consequences of their actions (Section 12), in particular for their character dispositions insofar as these are noble or base, i.e. virtues or vices (Section 13). These two goals are not the only ones Aristotle pursues in the passage. But they are the ones Aristotle himself indicates in its first sentence and summarizes in its last paragraph; and the ones that give the passage a systematic unity. The paper also briefly consider the issues of freedom-to-do-otherwise, free choice and free-will in the contexts in which they occur (i.e. in the final paragraphs of Sections 6, 7, 12, 13). (shrink)

ABSTRACT: A very brief summary presentation of western ancient logic for the non-specialized reader, from the beginnings to Boethius. For a much more detailed presentation see my "Ancient Logic" in the Stanford Encyclopedia of Philosopy (also on PhilPapers).

ABSTRACT: Summary presentation of the surviving logic theories of Philo the Dialectician (aka Philo of Megara) and Diodorus Cronus, including some general remarks on propositional logical elements in their logic, a presentation of their theories of the conditional and a presentation of their modal theories, including a brief suggestion for a solution of the Master Argument.

The problem of downward causation is that an intuitive response to an intuitive picture leads to counterintuitive results. Suppose a mental event, m1, causes another mental event, m2. Unless the mental and the physical are completely independent, there will be a physical event in your brain or your body or the physical world as a whole that underlies this event. The mental event occurs at least partly in virtue of the physical event’s occurring. And the same goes for m2 [2] (...) and p2. Let’s not worry about what exactly “underlying” or “in virtue of” means here. Here’s the picture. m1 -----> m2 | | p1 -----> p2 The horizontal arrows represent causation, and the vertical lines represent underlying, whatever that may be. There’s some reason to think that the only way m1 can bring about m2 is by bringing about p2. You can’t convince someone of something through mental telepathy. You need to interact with the physical world, perhaps by saying something and so making some noise, or by pointing and getting them to turn their head and see. What goes for the case of two people goes for the case of one person as well. Superstition aside, there is no purely mental energy that floats free of the merely physical workings of the brain. If m1 brings about m2 by bringing about p2, then m1 brings about p2. This is downward causation. But wait. Doesn’t p1 bring about p2? Isn’t that what the bottom arrow represents? Maybe m1 and p1 work together to bring about p2. There are little holes in the physical causal structure that need to be filled by mental events. You don’t need a sweeping metaphysical thesis about the causal closure of the physical to find this implausible. Maybe p2 is overdetermined. (shrink)

ABSTRACT: For the Stoics, a syllogism is a formally valid argument; the primary function of their syllogistic is to establish such formal validity. Stoic syllogistic is a system of formal logic that relies on two types of argumental rules: (i) 5 rules (the accounts of the indemonstrables) which determine whether any given argument is an indemonstrable argument, i.e. an elementary syllogism the validity of which is not in need of further demonstration; (ii) one unary and three binary argumental rules which (...) establish the formal validity of non-indemonstrable arguments by analysing them in one or more steps into one or more indemonstrable arguments (cut type rules and antilogism). The function of these rules is to reduce given non-indemonstrable arguments to indemonstrable syllogisms. Moreover, the Stoic method of deduction differs from standard modern ones in that the direction is reversed (similar to tableau methods). The Stoic system may hence be called an argumental reductive system of deduction. In this paper, a reconstruction of this system of logic is presented, and similarities to relevance logic are pointed out. (shrink)

ABSTRACT: This paper argues that the so-called paradoxes of higher-order vagueness are the result of a confusion between higher-order vagueness and the distribution of the objects of a Sorites series into extensionally non-overlapping non-empty classes.

In a recent paper, María Pía Méndez (2022) offers an epistemic critique of epistocracy according to which the sort of politically well-informed but homogenous groups of citizens that would be empowered under epistocracy would lack reliable access to information about the preferences of less informed citizens. Specifically, they would lack access to such citizens’ preferences regarding the form that policies ought to take—that is, how these policies ought to be implemented. Arguing that this so-called Information Gap Problem militates against epistocracy, (...) Méndez instead recommends that we respond to problems created by widespread voter ignorance by improving the flow of information between political actors by adopting some participatory democratic institutions. In this paper I argue that the severity of the Information Gap Problem for epistocracy is overstated. After first sketching some background (Section 1), I argue that it is hard to see why information about citizens’ preferences for the form that policies ought to take is important enough that the expected costs of epistocracy outweigh its expected benefits if it selectively empowers people who lack access to such information (Section 2). Moreover, different forms of epistocracy are less threatened by the Information Gap Problem, assuming it is indeed a problem. For some forms of epistocracy, it may be no problem whatsoever. However, I conclude by suggesting that Méndez touches upon some more serious problems for epistocracy (Section 3). First, even setting aside the Information Gap Problem, there are open questions about the possible epistemic inferiority of epistocracy relative to democracy. Second, more comprehensive accounts of political competence that move beyond the possession of sufficient levels of political information are much harder to reliably test for, thus complicating the task of devising effective epistocratic selection mechanisms. Lastly, epistocracy arguably creates a serious risk of abuse that may outweigh any other benefits it brings. More research is needed to determine how (and whether) epistocrats can respond to such challenges. (shrink)

ABSTRACT: A brief critique of Bruno Haas’ interpretation of Kant’s categories of practical reason and a reply to his criticism of my paper 'Die Kategorien der Freiheit bei Kant' ('Kant's Categories of Freedom').

Politics abounds with bad language: lying and bullshitting, grandstanding and virtue signaling, code words and dogwhistles, and more. But why is there so much bad language in politics? And what, if anything, can we do about it? In this paper I show how these two questions are connected. Politics is full of bad language because existing social and political institutions are structured in such a way that the production of bad language becomes rational. In principle, by modifying these institutions we (...) can reduce the prevalence of bad language. However, as I show, such practical efforts are fraught with difficulties. After first outlining an account of bad language (Section 1), I examine the rationality of three different types of bad language: inaccurate language, insincere language, and unclear language (Section 2). Next, I discuss the possibility of implementing institutional reforms to improve the quality of political discourse (Section 3). However, I then outline and discuss two serious complications for institutional reforms—namely, they create risk of abuse, and they could preclude instances of seemingly bad language that, in fact, are socially beneficial (Section 4). I conclude with some thoughts about how to pursue institutional reform in an appropriately circumspect manner (Section 5). (shrink)

The Implementation Problem for conceptual engineering is, roughly, the problem conceptual engineers face when attempting to bring about the conceptual change they support. An important aspect of this problem concerns the extent to which attempting to implement concepts can lead to unintended negative consequences. Not only can conceptual engineers fail to implement their proposals, but their interventions can produce outcomes directly counter to their goals. It is therefore important to think carefully about the prospect of attempted implementation leading to unintended (...) negative consequences: what sort of negative consequences can conceptual engineers expect? Are some forms of conceptual engineering more likely than others to lead to such consequences? And is conceptual engineering still viable even given the risk of such consequences? This paper addresses such questions. I begin by outlining different forms of conceptual engineering (Section 1), before examining how they can produce unintended negative consequences (Section 2). I then discuss some implications of the fact that attempted implementation can produce unintended negative consequences, suggesting that, among other things, some forms of conceptual engineering are less viable than others (Section 3). I conclude, though, by considering some of the ways in which conceptual engineering is nonetheless a worthwhile pursuit (Section 4). (shrink)

Rawls famously argues that the parties in the original position would agree upon the two principles of justice. Among other things, these principles guarantee equal political liberty—that is, democracy—as a requirement of justice. We argue on the contrary that the parties have reason to reject this requirement. As we show, by Rawls’ own lights, the parties would be greatly concerned to mitigate existential risk. But it is doubtful whether democracy always minimizes such risk. Indeed, no one currently knows which political (...) systems would. Consequently, the parties—and we ourselves—have reason to reject democracy as a requirement of justice in favor of political experimentalism, a general approach to political justice which rules in at least some non-democratic political systems which might minimize existential risk. (shrink)

This paper contends that Stoic logic (i.e. Stoic analysis) deserves more attention from contemporary logicians. It sets out how, compared with contemporary propositional calculi, Stoic analysis is closest to methods of backward proof search for Gentzen-inspired substructural sequent logics, as they have been developed in logic programming and structural proof theory, and produces its proof search calculus in tree form. It shows how multiple similarities to Gentzen sequent systems combine with intriguing dissimilarities that may enrich contemporary discussion. Much of Stoic (...) logic appears surprisingly modern: a recursively formulated syntax with some truth-functional propositional operators; analogues to cut rules, axiom schemata and Gentzen’s negation-introduction rules; an implicit variable-sharing principle and deliberate rejection of Thinning and avoidance of paradoxes of implication. These latter features mark the system out as a relevance logic, where the absence of duals for its left and right introduction rules puts it in the vicinity of McCall’s connexive logic. Methodologically, the choice of meticulously formulated meta-logical rules in lieu of axiom and inference schemata absorbs some structural rules and results in an economical, precise and elegant system that values decidability over completeness. (shrink)

NOTE: The English translation is listed separately. ABSTRACT: A general interpretation and close textual analysis of Kant’s theory of the categories of freedom (or categories of practical reason) in his Critique of Practical Reason. My main concerns in the paper are the following: (1) I show that Kant’s categories of freedom have primarily three functions: as conditions of the possibility for actions (i) to be free, (ii) to be comprehensible as free and (iii) to be morally evaluated. (2) I show (...) that for Kant actions, although qua theoretical objects they are always already constituted by means of the theoretical categories, qua practical objects (objects of reason in its practical use, i.e. objects qua possibly good or bad) they are constituted by means of the categories of freedom; and that it is only in this way that actions, qua phenomena, can be a consequence of freedom, and can be understood and evaluated as such. (3) Since Kant's presentation of his theory of the Categories of Freedom is extremely brief, Kant's parallel theory of the theoretical categories in his Critique of Pure Reason is used as a guide for the interpretation of the practical categories and their systematic relevance. (shrink)

ABSTRACT: In contemporary discussions of freedom in Stoic philosophy we often encounter the following assumptions: (i) the Stoics discussed the problem of free will and determinis; (ii) since in Stoic philosophy freedom of the will is in the end just an illusion, the Stoics took the freedom of the sage as a substitute for it and as the only true freedom; (iii) in the c. 500 years of live Stoic philosophical debate, the Stoics were largely concerned with the same philosophical (...) problems of freedom. In this paper I argue that (i) can be upheld only in a very restricted way; (ii) is altogether untenable; and regarding (iii), that, although there may have occurred little change in the Stoic philosophical position on freedom over the centuries, we can detect more than one transformation of the philosophical problems that were at the forefront of the discussion. Moreover, that all the conceptions and problems of freedom were linked to Stoic ethics, and that the differences between them become transparent when one considers their various roles in this context. (shrink)

The purpose of this paper is to challenge some widespread assumptions about the role of the modal axiom 4 in a theory of vagueness. In the context of vagueness, axiom 4 usually appears as the principle ‘If it is clear (determinate, definite) that A, then it is clear (determinate, definite) that it is clear (determinate, definite) that A’, or, more formally, CA → CCA. We show how in the debate over axiom 4 two different notions of clarity are in play (...) (Williamson-style "luminosity" or self-revealing clarity and concealeable clarity) and what their respective functions are in accounts of higher-order vagueness. On this basis, we argue first that, contrary to common opinion, higher-order vagueness and S4 are perfectly compatible. This is in response to claims like that by Williamson that, if vagueness is defined with the help of a clarity operator that obeys axiom 4, higher-order vagueness disappears. Second, we argue that, contrary to common opinion, (i) bivalence-preservers (e.g. epistemicists) can without contradiction condone axiom 4 (by adopting what elsewhere we call columnar higher-order vagueness), and (ii) bivalence-discarders (e.g. open-texture theorists, supervaluationists) can without contradiction reject axiom 4. Third, we rebut a number of arguments that have been produced by opponents of axiom 4, in particular those by Williamson. (The paper is pitched towards graduate students with basic knowledge of modal logic.). (shrink)

Intuitionistic logic provides an elegant solution to the Sorites Paradox. Its acceptance has been hampered by two factors. First, the lack of an accepted semantics for languages containing vague terms has led even philosophers sympathetic to intuitionism to complain that no explanation has been given of why intuitionistic logic is the correct logic for such languages. Second, switching from classical to intuitionistic logic, while it may help with the Sorites, does not appear to offer any advantages when dealing with the (...) so-called paradoxes of higher-order vagueness. We offer a proposal that makes strides on both issues. We argue that the intuitionist’s characteristic rejection of any third alethic value alongside true and false is best elaborated by taking the normal modal system S4M to be the sentential logic of the operator ‘it is clearly the case that’. S4M opens the way to an account of higher-order vagueness which avoids the paradoxes that have been thought to infect the notion. S4M is one of the modal counterparts of the intuitionistic sentential calculus and we use this fact to explain why IPC is the correct sentential logic to use when reasoning with vague statements. We also show that our key results go through in an intuitionistic version of S4M. Finally, we deploy our analysis to reply to Timothy Williamson’s objections to intuitionistic treatments of vagueness. (shrink)

In Gibbons 2006, I presented a counterexample to epistemic internalism, the view that justification supervenes on the internal. Andrew Moon has replied to this paper, asking what generates the intuition behind the counterexample. In this note, I try to answer that question.

ABSTRACT: This paper discusses ancient versions of paradoxes today classified as paradoxes of presupposition and how their ancient solutions compare with contemporary ones. Sections 1-4 air ancient evidence for the Fallacy of Complex Question and suggested solutions, introduce the Horn Paradox, consider its authorship and contemporary solutions. Section 5 reconstructs the Stoic solution, suggesting the Stoics produced a Russellian-type solution based on a hidden scope ambiguity of negation. The difference to Russell's explanation of definite descriptions is that in the Horn (...) Paradox the Stoics uncovered a hidden conjunction rather than a hidden existential sentence. Sections 6 and 7 investigate hidden ambiguities in 'to have' and 'to lose' (including inalienable and alienable possession) and ambiguities of quantification based on substitution of indefinite plural expressions for indefinite or anaphoric pronouns, and Stoic awareness of these. Section 8 considers metaphorical readings and allusions that add further spice to the paradox. (shrink)

ABSTRACT: A systematic reconstruction of Chrysippus’ theory of causes, grounded on the Stoic tenets that causes are bodies, that they are relative, and that all causation can ultimately be traced back to the one ‘active principle’ which pervades all things. I argue that Chrysippus neither developed a finished taxonomy of causes, nor intended to do so, and that he did not have a set of technical terms for mutually exclusive classes of causes. Rather, the various adjectives which he used for (...) causes had the function of describing or explaining particular features of certain causes in particular philosophical contexts. I challenge the sometimes assumed close connection of Chrysippus’ notion of causation with explanation. I show that the standard view that the distinction between proximate and auxiliary causes and perfect and principal causes corresponds to the distinction between internal and external determining factors is not born out by the evidence, and argue that causes of the two types were not thought to co-operate, but rather conceived of as alternatives. (shrink)

ABSTRACT: This paper traces the earliest development of the most basic principle of deduction, i.e. modus ponens (or Law of Detachment). ‘Aristotelian logic’, as it was taught from late antiquity until the 20th century, commonly included a short presentation of the argument forms modus (ponendo) ponens, modus (tollendo) tollens, modus ponendo tollens, and modus tollendo ponens. In late antiquity, arguments of these forms were generally classified as ‘hypothetical syllogisms’. However, Aristotle did not discuss such arguments, nor did he call any (...) arguments ‘hypothetical syllogisms’. The Stoic indemonstrables resemble the modus ponens/tollens arguments. But the Stoics never called them ‘hypothetical syllogisms’; nor did they describe them as ponendo ponens, etc. The tradition of the four argument forms and the classification of the arguments as hypothetical syllogisms hence need some explaining. In this paper, I offer some explanations by tracing the development of certain elements of Aristotle’s logic via the early Peripatetics to the logic of later antiquity. I consider the questions: How did the four argument forms arise? Why were there four of them? Why were arguments of these forms called ‘hypothetical syllogisms’? On what grounds were they considered valid? I argue that such arguments were neither part of Aristotle’s dialectic, nor simply the result of an adoption of elements of Stoic logic, but the outcome of a long, gradual development that begins with Aristotle’s logic as preserved in his Topics and Prior Analytics; and that, as a result, we have a Peripatetic logic of hypothetical inferences which is a far cry both from Stoic logic and from classical propositional logic, but which sports a number of interesting characteristics, some of which bear a cunning resemblance to some 20th century theories. (shrink)

ABSTRACT: An introduction to Stoic logic. Stoic logic can in many respects be regarded as a fore-runner of modern propositional logic. I discuss: 1. the Stoic notion of sayables or meanings (lekta); the Stoic assertibles (axiomata) and their similarities and differences to modern propositions; the time-dependency of their truth; 2.-3. assertibles with demonstratives and quantified assertibles and their truth-conditions; truth-functionality of negations and conjunctions; non-truth-functionality of disjunctions and conditionals; language regimentation and ‘bracketing’ devices; Stoic basic principles of propositional logic; 4. (...) Stoic modal logic; 5. Stoic theory of arguments: two premisses requirement; validity and soundness; 6. Stoic syllogistic or theory of formally valid arguments: a reconstruction of the Stoic deductive system, which consisted of accounts of five types of indemonstrable syllogisms, which function as nullary argumental rules that identify indemonstrables or axioms of the system, and four deductive rules (themata) by which certain complex arguments can be reduced to indemonstrables and thus shown to be formally valid themselves; 7. arguments that were considered as non-syllogistically valid (subsyllogistic and unmethodically concluding arguments). Their validity was explained by recourse to formally valid arguments. (shrink)

ABSTRACT: Recently a bold and admirable interpretation of Chrysippus’ position on the Sorites has been presented, suggesting that Chrysippus offered a solution to the Sorites by (i) taking an epistemicist position1 which (ii) made allowances for higher-order vagueness. In this paper I argue (i) that Chrysippus did not take an epistemicist position, but − if any − a non-epistemic one which denies truth-values to some cases in a Sorites-series, and (ii) that it is uncertain whether and how he made allowances (...) for higher-order vagueness, but if he did, this was not grounded on an epistemicist position. (shrink)

A review of Yvanka Raynova's monograph Sein, Sinn und Werte: Phänomenologische und hermeneutische Perspektiven des europäischen Denkens. Frankfurt am Main, Bern, Bruxelles, New York, Oxford, Warszawa, Wien: 2017, 331 S.

In this 2 1/2 page piece(ling) I introduce the terms 'to maleappropriate', 'maleappropriation', 'maleappropriator', etc., for a familiar phenomenon and pattern of behaviour, following a couple of autobiographical remarks and followed by some brief suggestions about how to handle the phenomenon. That's all. (Nothing of philosophical depth here.).

One question about the role of the mental in the determination of practical reason concerns the pro-attitudes: can any set of beliefs, without the help of a desire, rationalize or make reasonable a desire, intention, attempt, or intentional action? After criticizing Michael Smith’s argument for a negative answer to this question, I present two arguments in favor of a positive answer. Another question about the role of the mental in the determination of practical reason concerns belief: what gives you a (...) reason to go to the store, the fact that you’re out of milk or the belief that you’re out of milk? The two questions about the mental are connected. I argue that if we give a positive answer to the first question and reject the Humean Theory of Motivation, we cannot accept the currently favored conception of normative reasons as determined by the facts. For the anti-Humean, normative reasons must be determined by the agent’s perspective. (shrink)