While it seems to be evident that the vision of the eternal return of the same is the solution to the riddle mentioned in "On the vision and the riddle," exactly what constitutes the riddle is anything but clear. Li ke all good riddles the solution demands a paradigm shift. Nietzsche's riddle is solved by a radical rethinking of the concept of time, from a straight line to a circle. I give a detailed account of how Nietzsche's riddle is formulated (...) in such a way tha t the eternal return of the same is the only possible solution. (shrink)

My aim in this paper is to identify the wrong that is done in all cases of testimonial injustice, if there is one. Miranda Fricker (2007) proposes one account of this distinctive wrong, and Gaile Pohlhaus Jr. (2014) offers another. I think neither works. Nor does an account based on giving due respect to the testifier's epistemic competence. Nor does an account based on exposing the testifier to substantial risk of harm. Rachel Fraser (2023) describes a further account, and the (...) proposal I favour is a slight amendment of this. (shrink)

David Hilbert's finitistic standpoint is a conception of elementary number theory designed to answer the intuitionist doubts regarding the security and certainty of mathematics. Hilbert was unfortunately not exact in delineating what that viewpoint was, and Hilbert himself changed his usage of the term through the 1920s and 30s. The purpose of this paper is to outline what the main problems are in understanding Hilbert and Bernays on this issue, based on some publications by them which have so far received (...) little attention, and on a number of philosophical reconstructions of the viewpoint (in particular, by Hand, Kitcher, and Tait). (shrink)

Adaptive preferences give rise to puzzles in ethics, political philosophy, decision theory, and the theory of action. Like our other preferences, adaptive preferences lead us to make choices, take action, and give consent. In 'False Consciousness for Liberals', recently published in The Philosophical Review, David Enoch (2020) proposes a criterion by which to identify when these choices, actions, and acts of consent are less than fully autonomous; that is, when they suffer from what Natalie Stoljar (2014) calls an 'autonomy deficit'. (...) According to Enoch, such actions are not protected in the usual way against interference by others; there is not the same prohibition against trying to prevent someone from acting in a particular way when that action is motivated by such adaptive preferences and is an attempt to satisfy them. In this note, I raise two concerns about Enoch's criterion. (shrink)

In the 1920s, David Hilbert proposed a research program with the aim of providing mathematics with a secure foundation. This was to be accomplished by first formalizing logic and mathematics in their entirety, and then showing---using only so-called finitistic principles---that these formalizations are free of contradictions. ;In the area of logic, the Hilbert school accomplished major advances both in introducing new systems of logic, and in developing central metalogical notions, such as completeness and decidability. The analysis of unpublished material presented (...) in Chapter 2 shows that a completeness proof for propositional logic was found by Hilbert and his assistant Paul Bernays already in 1917--18, and that Bernays's contribution was much greater than is commonly acknowledged. Aside from logic, the main technical contribution of Hilbert's Program are the development of formal mathematical theories and proof-theoretical investigations thereof, in particular, consistency proofs. In this respect Wilhelm Ackermann's 1924 dissertation is a milestone both in the development of the Program and in proof theory in general. Ackermann gives a consistency proof for a second-order version of primitive recursive arithmetic which, surprisingly, explicitly uses a finitistic version of transfinite induction up to www . He also gave a faulty consistency proof for a system of second-order arithmetic based on Hilbert's &egr;-substitution method. Detailed analyses of both proofs in Chapter 3 shed light on the development of finitism and proof theory in the 1920s as practiced in Hilbert's school. ;In a series of papers, Charles Parsons has attempted to map out a notion of mathematical intuition which he also brings to bear on Hilbert's finitism. According to him, mathematical intuition fails to be able to underwrite the kind of intuitive knowledge Hilbert thought was attainable by the finitist. It is argued in Chapter 4 that the extent of finitistic knowledge which intuition can provide is broader than Parsons supposes. According to another influential analysis of finitism due to W. W. Tait, finitist reasoning coincides with primitive recursive reasoning. The acceptance of non-primitive recursive methods in Ackermann's dissertation presented in Chapter 3, together with additional textual evidence presented in Chapter 4, shows that this identification is untenable as far as Hilbert's conception of finitism is concerned. Tait's conception, however, differs from Hilbert's in important respects, yet it is also open to criticisms leading to the conclusion that finitism encompasses more than just primitive recursive reasoning. (shrink)

Hilbert’s program was an ambitious and wide-ranging project in the philosophy and foundations of mathematics. In order to “dispose of the foundational questions in mathematics once and for all,” Hilbert proposed a two-pronged approach in 1921: first, classical mathematics should be formalized in axiomatic systems; second, using only restricted, “finitary” means, one should give proofs of the consistency of these axiomatic systems. Although Gödel’s incompleteness theorems show that the program as originally conceived cannot be carried out, it had many partial (...) successes, and generated important advances in logical theory and metatheory, both at the time and since. The article discusses the historical background and development of Hilbert’s program, its philosophical underpinnings and consequences, and its subsequent development and influences since the 1930s. (shrink)

to appear in Lambert, E. and J. Schwenkler (eds.) Transformative Experience (OUP) -/- L. A. Paul (2014, 2015) argues that the possibility of epistemically transformative experiences poses serious and novel problems for the orthodox theory of rational choice, namely, expected utility theory — I call her argument the Utility Ignorance Objection. In a pair of earlier papers, I responded to Paul’s challenge (Pettigrew 2015, 2016), and a number of other philosophers have responded in similar ways (Dougherty, et al. 2015, Harman (...) 2015) — I call our argument the Fine-Graining Response. Paul has her own reply to this response, which we might call the Authenticity Reply. But Sarah Moss has recently offered an alternative reply to the Fine-Graining Response on Paul’s behalf (Moss 2017) — we’ll call it the No Knowledge Reply. This appeals to the knowledge norm of action, together with Moss’ novel and intriguing account of probabilistic knowledge. In this paper, I consider Moss’ reply and argue that it fails. I argue first that it fails as a reply made on Paul’s behalf, since it forces us to abandon many of the features of Paul’s challenge that make it distinctive and with which Paul herself is particularly concerned. Then I argue that it fails as a reply independent of its fidelity to Paul’s intentions. (shrink)

Methods available for the axiomatization of arbitrary finite-valued logics can be applied to obtain sound and complete intelim rules for all truth-functional connectives of classical logic including the Sheffer stroke and Peirce’s arrow. The restriction to a single conclusion in standard systems of natural deduction requires the introduction of additional rules to make the resulting systems complete; these rules are nevertheless still simple and correspond straightforwardly to the classical absurdity rule. Omitting these rules results in systems for intuitionistic versions of (...) the connectives in question. (shrink)

Mathematical formalism is the the view that numbers are "signs" and that arithmetic is like a game played with such signs. Frege's colleague Thomae defended formalism using an analogy with chess, and Frege's critique of this analogy has had a major influence on discussions in analytic philosophy about signs, rules, meaning, and mathematics. Here I offer a new interpretation of formalism as defended by Thomae and his predecessors, paying close attention to the mathematical details and historical context. I argue that (...) for Thomae, the formal standpoint is an _algebraic perspective_ on a domain of objects, and a "sign" is not a linguistic expression or mark, but a representation of an object within that perspective. Thomae exploits a shift into this perspective to give a purely algebraic construction of the real numbers from the rational numbers. I suggest that Thomae's chess analogy is intended to provide a model for such shifts in perspective. (shrink)

The political philosophy originates from the reflections of crisis, risks and threats which society faces to. The author understands environmentalism as a tendency of current political philosophy which starts from the reflections of causes and possible effects of global environmental crisis as one of the most serious threats to the existential preconditions of current political system and global civilization at all. Considering the changes in social, technological and environmental starting conditions of the existence of economic-political system – that are consequences (...) of the transition from stable geologic-climate era of Holocene to unstable era of anthropocene – it is necessary to reconsider once more the basic premises, imperatives and conceptual frames of current economic-political system. The outlines of current economic-political system in philosophical frame were laid out by founders of modern political thinking while we can identify some of basic premises of environmentalism and also concepts relevant to the reflection of current threats and risks in some of their works. Author considers the concept of civil and human rights, the concept of natural state and the concept of social contract to be suitable for the reflection of the crisis of current economic-political system regarding environmentalism. Afterwards, the author formulates in what meanings are these concepts actual also for anthropocene. In conclusion, the author´s hypothesis is that the political philosophy of 21st century must reflect the environmental preconditions and limits of existence and forms of economic-political system and, at the same time, it must take into account that any economic and social activities have influence on the quality and sustainability of environment. (shrink)

Orthodox semantics for natural language modals give rise to two puzzles for their interactions with disjunction: Ross’s puzzle and the puzzle of free choice permission. It is widely assumed that each puzzle can be explained in terms of the licensing of ‘Diversity’ inferences: from the truth of a possibility or necessity modal with an embedded disjunction, hearers infer that each disjunct is compatible with the relevant set of worlds. I argue that Diversity inferences are too weak to explain the full (...) range of data. Instead, I argue, modals with embedded disjunctions license ‘Independence’ inferences: from the truth of a modal with an embedded disjunction, hearers infer that each disjunct is an independent alternative among the relevant set of worlds. I then develop a bilateral inquisitive semantics for modals that predicts the validity of these Independence inferences. My account vindicates common intuitions about both Ross’s puzzle and the puzzle of free choice permission, and explains the full range of data. (shrink)

So-called 'Frege cases' pose a challenge for anyone who would hope to treat the contents of beliefs (and similar mental states) as Russellian propositions: It is then impossible to explain people's behavior in Frege cases without invoking non-intentional features of their mental states, and doing that seems to undermine the intentionality of psychological explanation. In the present paper, I develop this sort of objection in what seems to me to be its strongest form, but then offer a response to it. (...) I grant that psychological explanation must invoke non-intentional features of mental states, but it is of crucial importance which such features must be referenced. -/- It emerges from a careful reading of Frege's own view that we need only invoke what I call 'formal' relations between mental states. I then claim that referencing such 'formal' relations within psychological explanation does not undermine its intentionality in the way that invoking, say, neurological features would. The central worry about this view is that either (a) 'formal' relations bring narrow content in through back door or (b) 'formal' relations end up doing all the explanatory work. Various forms of each worry are discussed. The crucial point, ultimately, is that the present strategy for responding to Frege cases is not available either to the 'psycho-Fregean', who would identify the content of a belief with its truth-value, nor even to someone who would identify the content of a belief with a set of possible worlds. It requires the sort of rich semantic structure that is distinctive of Russellian propositions. There is therefore no reason to suppose that the invocation of 'formal' relations threatens to deprive content of any work to do. (shrink)

The paradox of 'the One and the Many' might, more generally, be understood as the paradox of relationship. In order for there to be relationship there must be at least two parties in relation. The relation must, at once, hold the parties apart (otherwise they would collapse into unity) while holding them together (otherwise relationship itself would cease). It must do so, further, without itself becoming a third party which would then, itself, need to be related. This paper considers this (...) paradox as we find it manifest in the theories of quantum physics, the Socratic pursuit of universals, and, finally, at the very heart of human personhood - where we discover it at the core of interpersonal relationships, existential anxiety, and social distress. It is suggested, in the end, that though reason cannot resolve the terms of this paradox, there is a potential solution to the existential problems that spring from it, a solution lying in what Jesus calls, simply, 'faith.'. (shrink)

Frege begins his discussion of factives in ‘On Sense and Reference’ with an example of a purported contrafactive, that is, a verb that entails, or presupposes, the falsity of the complement sentence. But the verb he cites, ‘wähnen’, is now obsolete, and native speakers are sceptical about whether it really was a contrafactive. Despite the profusion of factive verbs, there are no clear examples of contrafactive propositional attitude verbs in English, French or German. This paper attempts to give an explanation (...) of this, and to use this to shed light on the behaviour of factives more generally. The suggestion is that factive propositional attitude verbs take facts, not propositions, as the referents of their complement sentences; and that as there are no contra-facts, there can be no contra-factives. This claim is also used to help explain Timothy Williamson's observation that there is no stative propositional attitude factive that requires only belief. Various conclusions are drawn within a broadly ‘knowledge first’ approach. (shrink)

Some years ago, Machery, Mallon, Nichols, and Stich reported the results of experiments that reveal, they claim, cross-cultural differences in speaker’s ‘intuitions’ about Kripke’s famous Gödel–Schmidt case. Several authors have suggested, however, that the question they asked their subjects is ambiguous between speaker’s reference and semantic reference. Machery and colleagues have since made a number of replies. It is argued here that these are ineffective. The larger lesson, however, concerns the role that first-order philosophy should, and more importantly should not, (...) play in the design of such experiments and in the evaluation of their results. (shrink)

In the recent philosophical literature on inquiry, epistemologists point out that their subject has often begun at the point at which you already have your evidence and then focussed on identifying the beliefs for which that evidence provides justification. But we are not mere passive recipients of evidence. While some comes to us unbidden, we often actively collect it. This has long been recognised, but typically epistemologists have taken the norms that govern inquiry to be practical, not epistemic. The recent (...) literature challenges this assumption and uncovers a rich range of questions about the epistemic normativity of inquiry. In this paper, I approach these questions from the formal side of epistemology. Developing out of the philosophy of science, as it did, this branch of epistemology has long discussed inquiry. And, building on the insights of Janina Hosiasson (1931), David Blackwell (1951), and I. J. Good (1967), it has produced a reasonably well-developed framework in which to understand norms of inquiry, both epistemic and practical. In the first half of the paper, I will present the pragmatic versions of this framework due to Hosiasson, Blackwell, and Good, and the epistemic version due to Graham Oddie (1997); in the second half of the paper, I put this framework to work, turning to some of the questions from the recent debate about inquiry and asking how the framework can help us answer them. Questions will include: When should we initiate an inquiry, when should we continue it, when should we conclude it, and when should we reopen it? How should we understand Julia Staffel's distinction between transitional attitudes and terminal attitudes (Staffel 2021a,b)? How do epistemic norms of inquiry relate to epistemic norms of belief or credence, and can they conflict (Friedman 2020)? And how should we understand the epistemic error that occurs when someone is resistant to evidence (Simion 2023)? (shrink)

Memory is everywhere in Blade Runner 2049. From the dead tree that serves as a memorial and a site of remembrance (“Who keeps a dead tree?”), to the ‘flashbulb’ memories individuals hold about the moment of the ‘blackout’, when all the electronic stores of data were irretrievably erased (“everyone remembers where they were at the blackout”). Indeed, the data wiped out in the blackout itself involves a loss of memory (“all our memory bearings from the time, they were all damaged (...) in the blackout”). Memory, and lack of it, permeates place, where from the post-blackout Las Vegas Deckard remembers it as somewhere you could “forget your troubles.” Memory is a commodity, called upon and consumed by the Wallace Corporation, purchased from the memory-maker, Dr Ana Stelline, who constructs and implants “the best memories” in replicants so as to instil in them real human responses. Memory is ubiquitous in Blade Runner 2049, involving humans, replicants, objects, and machines. Even “God,” we are told, “remembered Rachael.” Nowhere, though, is the depiction of memory more important than in the attempt to solve a question of identity. Officer K has a memory of his past. Even though he knows it is an implant, it is a memory he is emotionally attached to, frequently narrating it to Joi, his digital girlfriend. But it is a memory that starts to puzzle and trouble him. When K discovers the remains of a dead replicant, a female NEXUS-7, he uncovers a secret—this replicant was pregnant and died during childbirth, a discovery that could “break the world.” K is charged with hunting down the child and making the problem disappear. Yet as K starts seeking answers to the question of the child’s identity he gets inextricably caught up in the mystery. Is he merely Officer K, or is he Joe, the miracle child of Rachael and Deckard? The answer to this question hinges on K’s memory. But is the memory genuine? Is the memory his? Blade Runner 2049 encourages us to think deeply about the nature of memory, identity, and the relation between them. Indeed, the film does not just serve as a starting point for thinking about philosophical issues related to memory and identity. Rather, as we show in this chapter, the film seems to offer a view on these philosophical issues. Blade Runner 2049 offers us a view of memory as spread out over people, objects, and the environment, and it shows us that memory’s role in questions of identity goes beyond merely accurately recalling one’s past. Identity depends not on memory per se, but partly on what we use memory for. (shrink)

If a Zen Master kills a kitten, and does not hear its scream, does it make a sound? In this essay, I use the Zen story of Master Nansen's killing of a kitten as an entree into a reflection on the Zen experience of enlightenment. I argue that the story of Nansen and the cat, as presented in the Zen tradition, raises many questions and problems that must be resolved if we are to envision the enlightenment experience in a clear (...) way. (shrink)

Angell's logic of analytic containment AC has been shown to be characterized by a 9-valued matrix NC by Ferguson, and by a 16-valued matrix by Fine. We show that the former is the image of a surjective homomorphism from the latter, i.e., an epimorphic image. The epimorphism was found with the help of MUltlog, which also provides a tableau calculus for NC extended by quantifiers that generalize conjunction and disjunction.

Frege says, at the end of a discussion of formalism in the Foundations of Arithmetic, that his own foundational program “could be called formal” but is “completely different” from the view he has just criticized. This essay examines Frege’s relationship to Hermann Hankel, his main formalist interlocutor in the Foundations, in order to make sense of these claims. The investigation reveals a surprising result: Frege’s foundational program actually has quite a lot in common with Hankel’s. This undercuts Frege’s claim that (...) his own view is completely different from Hankel’s formalism, and motivates a closer examination of where the differences lie. On the interpretation offered here, Frege shares important parts of the formalist perspective, but differs in recognizing a kind of content for arithmetical terms which can only be made available via proof from prior postulates. (shrink)

In this brief essay, I argue that Anselm's ontological argument for the existence of God achieves its effect through the verbal equivalent of a magician's "sleight-of-hand." More technically, the argument commits the informal fallacy of equivocation. I provide a brief analysis of the argument's text to demonstrate this.

As is well-known, the formal system in which Frege works in his Grundgesetze der Arithmetik is formally inconsistent, Russell’s Paradox being derivable in it.This system is, except for minor differ...

According to Tye's PANIC theory of consciousness, perceptual states of creatures which are related to a disjunction of external contents will fail to represent sensorily, and thereby fail to be conscious states. In this paper I argue that heat perception, a form of perception neglected in the recent literature, serves as a counterexample to Tye's radical externalist claim. Having laid out Tye's absent qualia scenario, the PANIC theory from which it derives and the case of heat perception as a counterexample, (...) I defend the putative counterexample against three possible responses: (1) that heat perception represents general (i.e. non-disjunctive) intrinsic properties of objects, (2) that heat perception represents the non-specific heat energy that is transferred between a subject's body and another body and (3) that heat perception exclusively represents heat properties of the subjects own body. (shrink)

In this paper, we seek a reliabilist account of justified credence. Reliabilism about justified beliefs comes in two varieties: process reliabilism (Goldman, 1979, 2008) and indicator reliabilism (Alston, 1988, 2005). Existing accounts of reliabilism about justified credence comes in the same two varieties: Jeff Dunn (2015) proposes a version of process reliabilism, while Weng Hong Tang (2016) offers a version of indicator reliabilism. As we will see, both face the same objection. If they are right about what justification is, it (...) is mysterious why we care about justification, for neither of the accounts explains how justification is connected to anything of epistemic value. We will call this the Connection Problem. I begin by describing Dunn’s process reliabilism and Tang’s indicator reliabilism. I argue that, understood correctly, they are, in fact, extensionally equivalent. That is, Dunn and Tang reach the top of the same mountain, albeit by different routes. However, I argue that both face the Connection Problem. In response, I offer my own version of reliabilism, which is both process and indicator, and I argue that it solves that problem. Furthermore, I show that it is also extensionally equivalent to Dunn’s reliabilism and Tang’s. Thus, I reach the top of the same mountain as well. (shrink)

Critical examination of possible socio-political Anthropocene consequences leads to the conclusion that the sustainable development concept is not an adequate answer for current threats and risks. An effort to implement the sustainable development concept can even make climate changes and other forms of nature devastation worse, as it turns out on ongoing greenhouse gas concentrations growth in the atmosphere, despite obligations that result to all states of the world from Paris agreement. The climate change rate and range of plant and (...) animal species extinction confirms J. Lovelock´s thesis that humanity does not have enough time and, most likely, enough sources to implement the sustainable development concept and, as B. Latour points out, we do not have a big enough planet. Therefore, it is necessary to think about a retreat – to areas that are likely to stay livable even after the sea level rise and desertification; it is necessary to think about how to move millions of people from areas flooded by sea or parched by desert; to think about a change of our current way of life, of production of food and energy so that not only humankind as animal species would continue, but also our civilization and its technological and organizational knowledge. Even basic theses based on this concept indicate a need to reassess most political concepts, mainly the concepts of sovereignty, citizenship, but also those of freedom of movement and residence, freedom of business and consume, which work as fundamentals of the neoliberal economic-political system. Retreat expects complex and organized migration to beforehand chosen and arranged areas. Opposite to retreat is mass escape chaos that reduces human relations to fight for survival. As J. Lovelock proposed in his sustainable retreat concept, relocating people from areas affected by climate changes to climate oases would mean that rich northern countries give up their current, in fact, isolationistic politics of refusing climate migrants. Therefore, the concept of sustainable retreat requires much greater competence and especially willingness to cooperate not only nationally, but also internationally and globally, in addition to what humanity is capable of doing today. (shrink)

This study focuses on the foundations of Slovak critical environmentalism laid by work of Juraj Kučírek, who is also the author of the first ever monograph focused on the philosophical reflection of the causes and possible consequences of the global environmental crisis in Slovakia. Kučírek pointed out the need to combine reflection on subsequent solution of the global environmental crisis with the problems of social inequality and oppression. This unconventional approach in the context of the Slovak public and academic discourse (...) of the 1990s he termed as environmental anthropocentrism. Thus, he had a critical approach to biocentric concepts, which gained a dominant position in the Slovak environmental discourse. His work was followed by Ivan Dubnička, who extended Kučírek´s position to include cultural, political, and religious aspects of the causes of environmental devastation. His research was focused on the relationships of sociobiological and sociocultural determinants that shape human behaviour as a result of biological and cultural evolution. Based on evolutionism and anthropocentrism, he developed the concept of environmental pragmatism. Concepts of both are characterized by the critique of biocentric egalitarianism principle and the emphasis on democratic and human rights aspects of environmental devastation, as well as social and political causes of these phenomena. (shrink)

I employ William Carlos Williams' poem, "The Red Wheelbarrow" to provide a non-technical introduction to Heidegger's Being and Time. (Note: This Philpapers entry provides access to the full article.).

Is the societal-level of analysis sufficient today to understand the values of those in the global workforce? Or are individual-level analyses more appropriate for assessing the influence of values on ethical behaviors across country workforces? Using multi-level analyses for a 48-society sample, we test the utility of both the societal-level and individual-level dimensions of collectivism and individualism values for predicting ethical behaviors of business professionals. Our values-based behavioral analysis indicates that values at the individual-level make a more significant contribution to (...) explaining variance in ethical behaviors than do values at the societal-level. Implicitly, our findings question the soundness of using societal-level values measures. Implications for international business research are discussed. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Ideas 61.3 (2000) 453-471 [Access article in PDF] Liberty, Authority, and Trust in Burke's Idea of Empire Richard Bourke When Edmund Burke first embarked upon a parliamentary career, British political life was in the process of adapting to a series of critical reorientations in both the dynamics of party affiliation and the direction of imperial policy. During the period of the Seven Years' (...) War, a reconstituted militia became a focus for patriotic enthusiasm, uniting national sentiment against France and effectively eradicating the remnants of Jacobite rhetoric and aspiration. Traditional opposition between Tory and Whig became irrelevant, while Court and Country jointly came to the support of the Pitt-Newcastle ministry. However, in due course the Old Corps disintegrated as George III succeeded to the throne with the promise of an end to factional strife and the beginning of a patriotic alliance in government. But while competing ideologies and interests on the domestic political scene were undergoing comprehensive realignment, the pursuit of a blue-water policy in tandem with strategic continental campaigns brought Britain's struggle against France into North America, the Caribbean, and India. Trade continued to expand into Asia and West Africa, but the principles of commercial advantage were continually brought into open conflict with the exigencies of war. The division of power in Europe became embroiled in a substantial redivision of empire, and by 1763 British territorial expansion had reached its zenith.When Burke was appointed private secretary to the Marquis of Rockingham, with the national debt standing at an all time high and the demands of imperial defense unlikely to diminish, the politics of empire called for urgent attention from all sections of the political establishment. In particular the Rockinghamites, adopting a posture of aloofness from venality and petty interest, were obliged to advance policies for imperial government on the solid basis of political principle. 1 Coming into parliament as a member for Wendover in the wake of [End Page 453] Grenville's Stamp Act, at a time when the East India Company was assuming control of the revenue in Bengal, Burke set about formulating a doctrine of imperial sovereignty which would be serviceable to the party either in power or in opposition and which would be adequate to the complex reality of detached and extensive empire. The immediate reception of that inquiry, both in Britain and on the Continent, into the fraught world of post-Revolutionary political debate has had the long-term effect of distorting the order of emphasis in terms of which his career as a whole ought properly to be understood.The vigorous elaboration, in opposition to the Jacobin experiment in France, of the conditions under which moderate government could be exercised within the context of an absolute sovereignty was expressed in terms which had originally been invoked as part of a sustained attempt to reconcile civility with empire. As we shall see, that attempt involved a process of delicate coordination by means of which the interests of freedom would be brought into harmony with the demands of public power. In that sense the effort to make liberty and authority mutually responsible can be said to constitute the core ambition of Burke's political rhetoric. In this context responsibility defines the optimally beneficial relation between government and people on the one hand and national sovereignty and the extended empire on the other. This article outlines the practical and theoretical exploration of those relations within the frame of Burke's intervention in the world of eighteenth-century political discourse.Burke was of course well placed in 1765 to evolve a theory of imperial government that was at once ideologically compelling and politically viable. In his capacity as secretary to William Gerard Hamilton in the early 1760s he had already examined the corruption of legitimate empire as represented by the introduction of penal legislation into Ireland after 1694. The Tracts Relating to Popery Laws set out to convict the Irish Parliament in Dublin of flagrant misrule. A subordinate legislature within the empire is charged with having employed... (shrink)

It has been known for a few years that no more than Pi-1-1 comprehension is needed for the proof of "Frege's Theorem". One can at least imagine a view that would regard Pi-1-1 comprehension axioms as logical truths but deny that status to any that are more complex—a view that would, in particular, deny that full second-order logic deserves the name. Such a view would serve the purposes of neo-logicists. It is, in fact, no part of my view that, say, (...) Delta-3-1 comprehension axioms are not logical truths. What I am going to suggest, however, is that there is a special case to be made on behalf of Pi-1-1 comprehension. Making the case involves investigating extensions of first-order logic that do not rely upon the presence of second-order quantifiers. A formal system for so-called "ancestral logic" is developed, and it is then extended to yield what I call "Arché logic". (shrink)

Nietzsche announces his intentions to publish a “physiology of aesthetics”, namely a naturalistic explanation for how aesthetic judgements are grounded in the physiology of both the one experiencing the work, and the creator of it. But as well as the physiological reduction of aesthetic judgements, Nietzsche in many places across his oeuvre frames the apparatus of physiology, especially the prescriptive dimension of self-cultivation, in terms amenable to being treated as ‘aesthetic’. The first section will mount a (re-) defense of the (...) use of aestheticized language for discussing Nietzschean self-cultivation. The second section demonstrates an aesthetic evaluation of capacities that make possible the acquisition and removal of instinctual components, ultimately arguing for Nietzsche’s qualified indeterminism regarding the capacity for self-cultivation. The third section will assess the pres- ence of another aesthetic measure, this time in terms of envisaging one’s psycho-physiology by reference to an external spectacle. The final section discusses metaethical questions stemming from Nietzsche’s prescriptive language regarding the aestheticization of our physiology. (shrink)

The discovery of a 1932 typewriter apparently signed by Heidegger raises questions about its authenticity and purpose, and prompts us to reconsider the validity of Heidegger’s portrayal of typewriters as devices that alienate writing from the hand and exemplify the modern oblivion of being.

Are non-natural properties worth caring about? I consider two objections to metaethical non-naturalism. According to the intelligibility objection, it would be positively unintelligible to care about non-natural properties that float free from the causal fabric of the cosmos. According to the ethical idlers objection, there is no compelling motivation to posit non-natural normative properties because the natural properties suffice to provide us with reasons. In both cases, I argue, the objection stems from misunderstanding the role that non-natural properties play in (...) the non-naturalist's understanding of normativity. The role of non-natural properties is not to be responded to, but to "mark" which natural properties it is correct for us to respond to in certain ways. (shrink)

This paper discusses Frege's account of definition by induction in Grundgesetze and the two key theorems Frege proves using it.

Drawing mainly from the Tractatus Logico-Philosophicus and his middle period writings, strategic issues and problems arising from Wittgenstein’s philosophy of mathematics are discussed. Topics have been so chosen as to assist mediation between the perspective of philosophers and that of mathematicians on their developing discipline. There is consideration of rules within arithmetic and geometry and Wittgenstein’s distinctive approach to number systems whether elementary or transfinite. Examples are presented to illuminate the relation between the meaning of an arithmetical generalisation or theorem (...) and its proof. An attempt is made to meet directly some of Wittgenstein’s critical comments on the mathematical treatment of infinity and irrational numbers. (shrink)

Heinrich Behmann (1891-1970) obtained his Habilitation under David Hilbert in Göttingen in 1921 with a thesis on the decision problem. In his thesis, he solved - independently of Löwenheim and Skolem's earlier work - the decision problem for monadic second-order logic in a framework that combined elements of the algebra of logic and the newer axiomatic approach to logic then being developed in Göttingen. In a talk given in 1921, he outlined this solution, but also presented important programmatic remarks on (...) the significance of the decision problem and of decision procedures more generally. The text of this talk as well as a partial English translation are included. (shrink)

This paper explores the relationship between Hume's Prinicple and Basic Law V, investigating the question whether we really do need to suppose that, already in Die Grundlagen, Frege intended that HP should be justified by its derivation from Law V.

A discussion of John Dewey's theory of inquiry and what it does and does not imply concerning good educational practice.

Priest has provided a simple tableau calculus for Chellas's conditional logic Ck. We provide rules which, when added to Priest's system, result in tableau calculi for Chellas's CK and Lewis's VC. Completeness of these tableaux, however, relies on the cut rule.

Textbook on Gödel’s incompleteness theorems and computability theory, based on the Open Logic Project. Covers recursive function theory, arithmetization of syntax, the first and second incompleteness theorem, models of arithmetic, second-order logic, and the lambda calculus.

Much of our information comes to us indirectly, in the form of conclusions others have drawn from evidence they gathered. When we hear these conclusions, how can we modify our own opinions so as to gain the benefit of their evidence? In this paper we study the method known as geometric pooling. We consider two arguments in its favour, raising several objections to one, and proposing an amendment to the other.

In this essay I examine the moral message presented in Woody Allen's film, "Crimes and Misdemeanors.".

The desirability of what actually occurs is often influenced by what could have been. Preferences based on such value dependencies between actual and counterfactual outcomes generate a class of problems for orthodox decision theory, the best-known perhaps being the so-called Allais Paradox. In this paper we solve these problems by extending Richard Jeffrey's decision theory to counterfactual prospects, using a multidimensional possible-world semantics for conditionals, and showing that preferences that are sensitive to counterfactual considerations can still be desirability maximising. (...) We end the paper by investigating the conditions necessary and sufficient for a desirability function to be an expected utility. It turns out that the additional conditions imply highly implausible epistemic principles. (shrink)

Longtermism is the view that the most urgent global priorities, and those to which we should devote the largest portion of our resources, are those that focus on (i) ensuring a long future for humanity, and perhaps sentient or intelligent life more generally, and (ii) improving the quality of the lives that inhabit that long future. While it is by no means the only one, the argument most commonly given for this conclusion is that these interventions have greater expected goodness (...) per unit of resource devoted to them than each of the other available interventions, including those that focus on the health and well-being of the current population. In this paper, I argue that, even if we grant the consequentialist ethics upon which this argument depends, and even if we grant one of the axiologies that are typically paired with that ethics to give the argument, we are not morally required to choose an option that maximises expected utility; indeed, we might not even be permitted to do so. Instead, I will argue, if the argument's consequentialism is correct, we should choose using a decision theory that is sensitive to risk, and allows us to give greater weight to worse-case outcomes than expected utility theory does. And, I will show, such decision theories do not always recommend longtermist interventions. Indeed, sometimes, they recommend exactly the opposite: sometimes, they recommend hastening human extinction. Many, though not all, will take this as a reductio of the consequentialism or the axiology of the argument. I remain agnostic on the conclusion we should draw. (shrink)

Epistemologists who study credences have a well-developed account of how you should change them when you learn new evidence; that is, when your body of evidence grows. What's more, they boast a diverse range of epistemic and pragmatic arguments that support that account. But they do not have a satisfactory account of when and how you should change your credences when you become aware of possibilities and propositions you have not entertained before; that is, when your awareness grows. In this (...) paper, I consider the arguments for the credal epistemologist's account of how to respond to evidence, and I ask whether they can help us generate an account of how to respond to awareness growth. The results are surprising: the arguments that all support the same norms for responding to evidence growth support a number of different norms when they are applied to awareness growth. Some of these norms seem too weak, others too strong. I ask what we should conclude from this, and argue that our credal response to awareness growth is considerably less rigorously constrained than our credal response to new evidence. (shrink)

In this paper, we attempt to show that if Plantinga’s free will defence succeeds, his O Felix Culpa theodicy fails. For if every creaturely essence suffers from transworld depravity, then given that Jesus has a creaturely essence (as we attempt to show), it follows that Incarnation and Atonement worlds cannot be actualized by God, in which case we have anything but a felix culpa.

The writings of Joseph Henry Woodger (1894–1981) are often taken to exemplify everything that was wrongheaded, misguided, and just plain wrong with early twentieth-century philosophy of biology. Over the years, commentators have said of Woodger: (a) that he was a fervent logical empiricist who tried to impose the explanatory gold standards of physics onto biology, (b) that his philosophical work was completely disconnected from biological science, (c) that he possessed no scientific or philosophical credentials, and (d) that his work was (...) disparaged – if not altogether ignored – by the biologists and philosophers of his era. In this paper, we provide the first systematic examination of Woodger’s oeuvre, and use it to demonstrate that the four preceding claims are false. We argue that Woodger’s ideas have exerted an important influence on biology and philosophy, and submit that the current consensus on his legacy stems from a highly selective reading of his works. By rehabilitating Woodger, we hope to show that there is no good reason to continue to disregard the numerous contributions to the philosophy of biology produced in the decades prior to the professionalization of the discipline. (shrink)