Rudolf Haag’s Local Quantum Physics (LQP) is an alternative framework to conventional relativistic quantum field theory for combining special relativity and quantum theory based on first principles, making it of great interest for the purposes of conceptual analysis despite currently being relatively limited as a tool for making experimental predictions. In LQP, the elementary particles are defined as species of causal link between interaction events, together with which they comprise its most fundamental entities. This notion of particle has yet to (...) be independently assessed as such. Here, it is captured via a set of propositions specifying particle characteristics and then compared to previous particle notions. Haag’s particle differs decisively with respect to mechanical intuitions about particles by lacking, among other things, even an approximate independent space–time location. This notion is thus found to differ greatly even from those of relativistic quantum mechanics and quantum field theory, which have been applied to the known elementary particles. (shrink)

The Meaning Circuit Hypothesis (MCH) is a synthesis of ideas providing John Wheeler’s outline of ultimate physics, which he fine-tuned over several decades from the 1970s onward. It is a ‘working hypothesis’ in which ‘existence is a ‘meaning circuit”’ that portrays the world as a “system self-synthesized by quantum networking.” It was strongly advocated by him for roughly two decades and since then has had an increasingly strong impact on the approach of many investigators of quantum theory; in particular, elements (...) such as the quantum participator and ‘it from bit’ are now considered by others as candidate components of a foundation for quantum theory in which information is involved essentially. Therefore, it is worthy of review and critique. (shrink)

Being disposed to see the marvelous by moving into the familiar is one of the fundamental philosophical dispositions. The pre-Socratic philosophers—especially Heraclitus—emphasized the needfulness of listening. This is true in two senses: we need to learn to listen, and listening is itself a need for something. The logos in nature can be heard only by one who is “awake.” The problem is that most live as though they were asleep, immersed in their own world. Being in tune with nature opens (...) one to hear something beyond nature—namely, the logos of nature. This implies a paradox: one can understand nature—i.e., be open to hear its logos—only if one is already open to hear it. The logos speaks to all, but it only successfully communicates with its lover. The philosophical life is intelligible only from within an openness to the logos. In this essay, I will argue that living a philosophical life (i.e., a philo-logical life: literally, a life in love with logos) is something that one has always already had. In short, a philosophical life is not something that one can decide to have or not; it is essentially something that one is thrown into, or perhaps more accurately, something that one finds oneself already a part of—like being in love—as the fruit of an unmerited gift. The philosophical life is a life of grace, since it is something that is given from another. This essay sets out to examine the philosophical facets of the claim that the philosophical life is a life of grace. (shrink)

The elementary particles of relativistic quantum field theory are not simple field quanta, as has long been assumed. Rather, they supplement quantum fields, on which they depend but to which they are not reducible, as shown here with particles defined instead as a unified collection of properties that appear in both physical symmetry group representations and field propagators. This notion of particle provides consistency between the practice of particle physics and its basis in quantum field theory.

The ontology of Local Quantum Physics, Rudolf Haag’s framework for relativistic quantum theory, is reviewed and discussed. It is one of spatiotemporally localized events and unlocalized causal intermediaries, including the elementary particles, which come progressively into existence in accordance with a fundamental arrow of time. Haag’s conception of quantum theory is distinguished from others in which events are also central, especially those of Niels Bohr and John Wheeler, with which it has been compared.

What is the relationship between the world and logic, between intuition and language, between objects and their quantitative determinations? Rationalists, on the one hand, hold that the world is structured in a rational way. Representationalists, on the other hand, assume that language, logic, and mathematics are only the means to order and describe the intuitively given world. In World and Logic, Jens Lemanski takes up three surprising arguments from Arthur Schopenhauer’s hitherto undiscovered Berlin Lectures, which concern the philosophy of (...) language, logic, and mathematics. Based on these arguments, Lemanski develops a new position entitled ‘rational representationalism’: the world is always structured by human beings according to linguistic, logical, and mathematical principles, but the basic vocabulary of these structural descriptions already contains metaphors taken from the world around us. (shrink)

Advanced AI systems are rapidly making their way into medical research and practice, and, arguably, it is only a matter of time before they will surpass human practitioners in terms of accuracy, reliability, and knowledge. If this is true, practitioners will have a prima facie epistemic and professional obligation to align their medical verdicts with those of advanced AI systems. However, in light of their complexity, these AI systems will often function as black boxes: the details of their contents, calculations, (...) and procedures cannot be meaningfully understood by human practitioners. When AI systems reach this level of complexity, we can also speak of black-box medicine. In this paper, we want to argue that black-box medicine conflicts with core ideals of patient-centered medicine. In particular, we claim, black-box medicine is not conducive for supporting informed decision-making based on shared information, shared deliberation, and shared mind between practitioner and patient. (shrink)

We argue that stereotypes associated with concepts like he-said–she-said, conspiracy theory, sexual harassment, and those expressed by paradigmatic slurs provide “normative inference tickets”: conceptual permissions to automatic, largely unreflective normative conclusions. These “mental shortcuts” are underwritten by associated stereotypes. Because stereotypes admit of exceptions, normative inference tickets are highly flexible and productive, but also liable to create serious epistemic and moral harms. Epistemically, many are unreliable, yielding false beliefs which resist counterexample; morally, many perpetuate bigotry and oppression. Still, some normative (...) inference tickets, like some activated by sexual harassment, constitute genuine moral and hermeneutical advances. For example, our framework helps explain Miranda Fricker’s notion of “hermeneutical lacunae”: what early victims of “sexual harassment” — as well as their harassers — lacked before the term was coined was a communal normative inference ticket — one that could take us, collectively, from “this is happening” to “this is wrong.”. (shrink)

In this paper, we present and defend an analysis of harm that we call the Negative Influence on Well-Being Account (NIWA). We argue that NIWA has a number of significant advantages compared to its two main rivals, the Counterfactual Comparative Account (CCA) and the Causal Account (CA), and that it also helps explain why those views go wrong. In addition, we defend NIWA against a class of likely objections, and consider its implications for several questions about harm and its role (...) in normative theorizing. (shrink)

The well-definedness of particles of any kind depends on the limits, approximations, or other conditions that may or may not be involved, for example, whether there are interactions and whether ostensibly related energy is localizable. In particular, their theoretical status differs between its non-relativistic and relativistic versions: One can properly define interacting elementary particles in single-system non-relativistic quantum mechanics, at least in the case of non-zero mass systems; by contrast, one is severely challenged to define even these properly in the (...) relativistic quantum field theories that now underlie the study of particle physics. Here, the impact of localizability on this status is reviewed in relation to the work of Paul Busch on positive operator valued measures that significantly probes the relevance of quantum unsharpness to it. (shrink)

Possible-worlds accounts of mental or linguistic content are often criticized for being too coarse-grained. To make room for more fine-grained distinctions among contents, several authors have recently proposed extending the space of possible worlds by "impossible worlds". We argue that this strategy comes with serious costs: we would effectively have to abandon most of the features that make the possible-worlds framework attractive. More generally, we argue that while there are intuitive and theoretical considerations against overly coarse-grained notions of content, the (...) same kinds of considerations also prohibit an overly fine-grained individuation of content. An adequate notion of content, it seems, should have intermediate granularity. However, it is hard to construe a notion of content that meets these demands. Any notion of content, we suggest, must be either implausibly coarse-grained or implausibly fine-grained (or both). (shrink)

In this paper, I investigate whether we can use a world-involving framework to model the epistemic states of non-ideal agents. The standard possible-world framework falters in this respect because of a commitment to logical omniscience. A familiar attempt to overcome this problem centers around the use of impossible worlds where the truths of logic can be false. As we shall see, if we admit impossible worlds where “anything goes” in modal space, it is easy to model extremely non-ideal agents that (...) are incapable of performing even the most elementary logical deductions. A much harder, and considerably less investigated challenge is to ensure that the resulting modal space can also be used to model moderately ideal agents that are not logically omniscient but nevertheless logically competent. Intuitively, while such agents may fail to rule out subtly impossible worlds that verify complex logical falsehoods, they are nevertheless able to rule out blatantly impossible worlds that verify obvious logical falsehoods. To model moderately ideal agents, I argue, the job is to construct a modal space that contains only possible and non-trivially impossible worlds where it is not the case that “anything goes”. But I prove that it is impossible to develop an impossible-world framework that can do this job and that satisfies certain standard conditions. Effectively, I show that attempts to model moderately ideal agents in a world-involving framework collapse to modeling either logical omniscient agents, or extremely non-ideal agents. (shrink)

This article examines the evolution of the concept of existence in modern visual representation and reasoning, highlighting important milestones. In the late eighteenth century, during the so-called golden age of visual reasoning, nominalism reigned supreme and there was limited scope for existential import or individuals in logic diagrams. By the late nineteenth century, a form of realism had taken hold, whose existential commitments continue to dominate many areas in logic and visual reasoning to this day. Physical, metaphysical, epistemological, and linguistic (...) positions underlie both nominalist and realist views. Since the paradigmatic works on visual reasoning in the 1990s, formal diagram systems have been developed that revive either the nominalist or realist perspectives. Unlike in the nineteenth century, these are not motivated by philosophical views. Nevertheless, they may still have an impact on many areas of philosophy and science outside logic. (shrink)

In this paper, we provide an account of the ontological status of Christ’s dead body, which remained in the tomb during the three days after his crucifixion. Our account holds that Christ’s dead body – during the time between his death and resurrection – was prime matter without a substantial form. We defend this account by showing how it is metaphysically possible for prime matter to exist in actuality without substantial forms. Our argument turns on the truth of two theses: (...) God is able to produce all acts of secondary causes without those secondary causes, and Substantial forms are secondary causes of the actuality of prime matter. We argue that the metaphysical possibility of matter without form is perfectly consistent with holding both there is only one substantial form in a material substance and that prime matter is pure potentiality. Moreover, we argue that the metaphysical possibility of matter without form does little-to-no damage to our natural understanding of material substances. (shrink)

This paper analyses a hitherto unknown technique of using logic diagrams to create argument maps in eristic dialectics. The method was invented in the 1810s and -20s by Arthur Schopenhauer, who is considered the originator of modern eristic. This technique of Schopenhauer could be interesting for several branches of research in the field of argumentation: Firstly, for the field of argument mapping, since here a hitherto unknown diagrammatic technique is shown in order to visualise possible situations of arguments in a (...) dialogical controversy. Secondly, the art of controversy or eristic, since the diagrams do not analyse the truth of judgements and the validity of inferences, but the persuasiveness of arguments in a dialogue. (shrink)

In his 'Of the Standard of Taste' David Hume seems to make the paradoxical claim that even though the sentiments an agent feels in response to an artwork are subjective and unique, and it cannot be said that such sentiments are either correct or incorrect, there is a standard upon which art can be judged, which is at least partly determined by these sentiments.

There has recently been a revived interest in temporal justice among political philosophers. For example, lone mothers have, on average, 30 h less free time per week than people in couples without children. Recent work has focussed on free time as a distinct distributive good, but this paper argues that it would be a mistake for a theory of temporal justice to focus only on shares of free time. First, I argue that the concept of free time does not succeed (...) in tracking discretionary control over time. All of time is a resource, and the particular moral relevance of free time must be established otherwise. Second, hours of time differ in use value, and we cannot fully track our concerns about the allocation of time, whether free or necessary, without taking this into account. We care about free time but also about ‘quality time’. To explain this observation, I develop an account of the value of time as a resource. The value of time periods differs with the prospects for which a time period can be used, that is, what we can do and be with it. What we are allocating when we are allocating time is not just hours; it is hours of time with a certain value. Finally, I argue that a concern for the value of time is compatible with a resourcist theory of temporal justice. (shrink)

Logic diagrams have been increasingly studied and applied for a few decades, not only in logic, but also in many other fields of science. The history of logic diagrams is an important subject, as many current systems and applications of logic diagrams are based on historical predecessors. While traditional histories of logic diagrams cite pioneers such as Leibniz, Euler, Venn, and Peirce, it is not widely known that Kant and the early Kantians in Germany and England played a crucial role (...) in popularising Euler(-type) diagrams. In this paper, the role of the Kantians in the late eighteenth and early nineteenth centuries will be analysed in more detail. It shows that diagrams (or intuition in general) were a highly contentious topic that depend on the philosophical attitude and went beyond logic to touch on issues of physics, metaphysics, linguistics and, above all, mathematics. (shrink)

In the article ”Against Physicalism-plus-God: How Creation Accounts for Divine Action in the World’, I defined a framework which allows us to make some progress in our understanding of how God acts in the world. In the present article, I apply this framework to the specific question of chance events. I show that chance does not provide an explanation for special divine action. Nevertheless, chance does not hamper God’s ability to act in the world, and creation provides a framework for (...) the understanding of chance, which is akin to what we see in modern science. (shrink)

Logicians commonly speak in a relatively undifferentiated way about pre-euler diagrams. The thesis of this paper, however, is that there were three periods in the early modern era in which euler-type diagrams (line diagrams as well as circle diagrams) were expansively used. Expansive periods are characterized by continuity, and regressive periods by discontinuity: While on the one hand an ongoing awareness of the use of euler-type diagrams occurred within an expansive period, after a subsequent phase of regression the entire knowledge (...) about the systematic application and the history of euler-type diagrams was lost. I will argue that the first expansive period lasted from Vives (1531) to Alsted (1614). The second period began around 1660 with Weigel and ended in 1712 with lange. The third period of expansion started around 1760 with the works of Ploucquet, euler and lambert. Finally, it is shown that euler-type diagrams became popular in the debate about intuition which took place in the 1790s between leibnizians and Kantians. The article is thus limited to the historical periodization between 1530 and 1800. (shrink)

The traditional Lewis–Stalnaker semantics treats all counterfactuals with an impossible antecedent as trivially or vacuously true. Many have regarded this as a serious defect of the semantics. For intuitively, it seems, counterfactuals with impossible antecedents—counterpossibles—can be non-trivially true and non-trivially false. Whereas the counterpossible "If Hobbes had squared the circle, then the mathematical community at the time would have been surprised" seems true, "If Hobbes had squared the circle, then sick children in the mountains of Afghanistan at the time would (...) have been thrilled" seems false. Many have proposed to extend the Lewis–Stalnaker semantics with impossible worlds to make room for a non-trivial or non-vacuous treatment of counterpossibles. Roughly, on the extended Lewis–Stalnaker semantics, we evaluate a counterfactual of the form "If A had been true, then C would have been true" by going to closest world—whether possible or impossible—in which A is true and check whether C is also true in that world. If the answer is "yes", the counterfactual is true; otherwise it is false. Since there are impossible worlds in which the mathematically impossible happens, there are impossible worlds in which Hobbes manages to square the circle. And intuitively, in the closest such impossible worlds, sick children in the mountains of Afghanistan are not thrilled—they remain sick and unmoved by the mathematical developments in Europe. If so, the counterpossible "If Hobbes had squared the circle, then sick children in the mountains of Afghanistan at the time would have been thrilled" comes out false, as desired. In this paper, I will critically investigate the extended Lewis–Stalnaker semantics for counterpossibles. I will argue that the standard version of the extended semantics, in which impossible worlds correspond to maximal, logically inconsistent entities, fails to give the correct semantic verdicts for many counterpossibles. In light of the negative arguments, I will then outline a new version of the extended Lewis–Stalnaker semantics that can avoid these problems. (shrink)

Eristic has been studied more and more intensively in recent years in philosophy, law, communication theory, logic, proof theory, and A.I. Nevertheless, the modern origins of eristic, which almost all current researchers see in the philosopher Arthur Schopenhauer, are considered to be a theory of the illegitimate use of logical and rhetorical devices. Thus, eristic seems to violate the norms of discourse ethics. In this paper, I argue that this interpretation of eristic is based on prejudices that contradict the original (...) intention of modern eristic. Eristic is not an art of being right or winning an argument, but an art of protecting oneself from the one who deliberately violates norms of discourse ethics to gain argumentative acceptance. For this reason, eristic must be seen as a discipline of Enlightenment philosophy and a correlate of discourse ethics. Especially in the age of alternative facts and post-factual politics, this makes eristic a valuable discipline. (shrink)

Wayne Wu argues that attention is necessary for action: since action requires a solution to the ‘Many–Many Problem’, and since only attention can solve the Many–Many Problem, attention is necessary for action. We question the first of these two steps and argue that it is based on an oversimplified distinction between actions and reflexes. We argue for a more complex typology of behaviours where one important category is action that does not require a solution to the Many–Many Problem, and so (...) does not require attention. (shrink)

To reconcile the standard possible worlds model of knowledge with the intuition that ordinary agents fall far short of logical omniscience, a Stalnakerian strategy appeals to two components. The first is the idea that mathematical and logical knowledge is at bottom metalinguistic knowledge. The second is the idea that non-ideal minds are often fragmented. In this paper, we investigate this Stalnakerian reconciliation strategy and argue, ultimately, that it fails. We are not the first to complain about the Stalnakerian strategy. But (...) in contrast to existing complaints, we want to cause trouble for the strategy directly on its home turf. That is, we will advance our objection while granting both the plausibility of the fragmentation component—save for an extreme version of it—and that of the metalinguistic component. Once our central objection to the Stalnakerian strategy is in place, we will show how it negatively affects Adam Elga and Augustín Rayo’s recent attempt to apply the Stalnakerian strategy in the context of Bayesian decision theory. (shrink)

How can work be a genuine good in life? I argue that this requires overcoming a problem akin to that studied by Marx scholars as the problem of work, freedom and necessity: how can work be something we genuinely want to do, given that its content is not up to us, but is determined by necessity? I argue that the answer involves valuing contributing to the good of others, typically as valuing active pro-sociality – that is, valuing actively doing something (...) good for others. This makes work better in one way, and may even make work something we are genuinely glad to have in our lives. Contemporary philosophical thinking about good work tends to focus on how work can be good for the person doing it, by providing, for example, self-realization or social relationships, while underappreciating the special importance of valuing social contribution. People will typically only really want work if they want a part of their lives to be about the good of others. This also means that work may be a part of the best life, something we should take into account when discussing work-related policies and the desirability of a ‘post-work’ future. (shrink)

The concept of the person is widely assumed to be indispensable for making a rights claim. But a survey of the concept's appearance in legal discourse reveals that the concept is stretched to the breaking point. Personhood stands at the center of debates as diverse as the legal status of embryos and animals to the rights and responsibilities of corporations and nations. This Note argues that personhood is a cluster concept with distinct components: the biological concept of the human being, (...) the notion of a rational agent, and unity of consciousness. Use of these component concepts (in lieu of the concept of the person) in legal reasoning would promote greater systematicity and coherence. (shrink)

Slurs have been standardly assumed to bear a very direct, very distinctive semantic relationship to what philosophers have called “neutral counterpart” terms. I argue that this is mistaken: the general relationship between paradigmatic slurs and their “neutral counterparts” should be assumed to be the same one that obtains between ‘chick flick’ and ‘romantic comedy’, as well a huge number of other more prosaic pairs of derogatory and “less derogatory” expressions. The most plausible general relationship between these latter expressions — and (...) thus, I argue, between paradigmatic slurs and “neutral counterpart” terms — is one of overlap in presumed extension, grounded in overlap in associated stereotypes. The resulting framework has the advantages of being simple, unified, and, unlike its orthodox rivals, neatly accommodating of a much wider range of data than has previously been considered. More importantly, it positions us to better understand, identify, and confront the insidious mechanisms of ordinary bigotry. (shrink)

To believe that logic has no history might at first seem peculiar today. But since the early 20th century, this position has been repeatedly conflated with logical monism of Kantian provenance. This logical monism asserts that only one logic is authoritative, thereby rendering all other research in the field marginal and negating the possibility of acknowledging a history of logic. In this paper, I will show how this and many related issues have developed, and that they are founded on only (...) one prominent statement by Kant. I will argue, however, that this statement takes on a very different meaning in a broader context of the history and philosophy of science, and that Kant and his supporters never advocated the logical monism that they are still said to hold today. (shrink)

Attention has a long history in philosophy, despite its near absence in the twentieth century. This chapter provides an overview of philosophical research on attention. It begins by explaining the concept of "selection from limitation," contrasting it with the more recent "selection for action." It reviews historical texts that discuss attention, focusing on those in the Western canon whose understanding of "attention" aligns with contemporary usage. It then describes the differential treatment of attention in phenomenology and behaviorism in the last (...) century. Finally, it discusses contemporary research by topic: attention, perception, and knowledge; attention and consciousness; attention and action; and attention and the self. It includes work by Allport,Aristotle, Astell, Augustine, Bergson, Berkeley, Block, Bradley, Buddhaghosa, Campbell, Cherry, De Brigard, Dehaene and Naccache, Descartes, Dickie, Du Bois, Ganeri, Hegel, Heidegger, James, Kant, Koch and Tsuchiya, LaBerge, Locke, Mack and Rock, Malebranche, Merleau-Ponty, Mole, Montemayor and Haladjian, Neumann, Pashler, Posner, Prinz, Reid, Rensink, Reynolds and Heeger, Treisman, Watzl, Wittgenstein, Wollstonecraft, and Wu. (shrink)

Pluralistic ignorance is a socio-psychological phenomenon that involves a systematic discrepancy between people’s private beliefs and public behavior in certain social contexts. Recently, pluralistic ignorance has gained increased attention in formal and social epistemology. But to get clear on what precisely a formal and social epistemological account of pluralistic ignorance should look like, we need answers to at least the following two questions: What exactly is the phenomenon of pluralistic ignorance? And can the phenomenon arise among perfectly rational agents? In (...) this paper, we propose answers to both these questions. First, we characterize different versions of pluralistic ignorance and define the version that we claim most adequately captures the examples cited as paradigmatic cases of pluralistic ignorance in the literature. In doing so, we will stress certain key epistemic and social interactive aspects of the phenomenon. Second, given our characterization of pluralistic ignorance, we argue that the phenomenon can indeed arise in groups of perfectly rational agents. This, in turn, ensures that the tools of formal epistemology can be fully utilized to reason about pluralistic ignorance. (shrink)

When a proposition might be the case, for all an agent knows, we can say that the proposition is epistemically possible for the agent. In the standard possible worlds framework, we analyze modal claims using quantification over possible worlds. It is natural to expect that something similar can be done for modal claims involving epistemic possibility. The main aim of this paper is to investigate the prospects of constructing a space of worlds—epistemic space—that allows us to model what is epistemically (...) possible for ordinary, non-ideally rational agents like you and me. I will argue that the prospects look dim for successfully constructing such a space. In turn, this will make a case for the claim that we cannot use the standard possible worlds framework to model what is epistemically possible for ordinary agents. (shrink)

The criticism of Immanuel Kant’s logic commenced with the advent of the so-called ‘new logic’ in the 20th century. One particular passage from the second preface to the Critique of Pure Reason has been a source of contention, where Kant asserted that logic has not taken a step forward or backward since Aristotle (B VIII). In Kant scholarship, one current strategy to avoid this criticism is to relocate Kant within the domain of philosophy of logic or by segregating his general (...) logic from modern formal systems. In this paper, it will be contended that this strategy is too weak, given that the B-preface has currently been analyzed in a markedly divergent manner by the so-called ‘methodological interpretation’. In his methodology and history of science of the B-preface, Kant means something different by progress and regression than what his 20th-century critics assume he meant. By examining what Kant and his critics considered to be progress and regress in science and logic, good reasons can be put forward for the argument that Kant was correct in his assertion that logic has not gone a step forward or backward. (shrink)

In a crucial passage in the Parmenides, Parmenides states that the power of conversation (ten tou dialegesthai dynamin) depends on forms (135b-c) and indicates that this power is a prerequisite for philosophy. In chapter xx Kristian Larsen raises the question what implications this passage has for Plato’s conception of dialectic and argues that the discussion of the thesis that knowledge is perception in the Theaetetus, and in particular the conclusion to this discussion found at 184b3-186e12, provides an explanation of Parmenides’ (...) claims about the power of conversation. The chapter provides a detailed interpretation of the final refutation of Theaetetus’ thesis that knowledge is perception that highlights the way the dramatic features of the Theaetetus accentuate the argument Socrates develops in order to refute the thesis. Larsen argues that a central feature of the drama of the dialogue is Socrates’ attempt at redirecting Theaetetus from mathematics toward dialectic and philosophy. In particular, Socrates aims to make Theaetetus realize that being and the good or the beneficial are things that are what they are, themselves by themselves, that they are on a par, ontologically speaking, and that reaching for them, and attempting to come to grips with them, in thought, is a requirement for knowledge in general and for dialectic in particular. (shrink)

A particularly promising trail on the search for forgotten logic diagrams leads to Upper Lusatia in the 17th century, more precisely to Christian Weise and his students. Samuel Grosser, who later became rector in Görlitz, and Johann Christian Lange, who later became professor of logic at the University of Gießen, are the most prominent to have published remarkable logic diagrams. Even more remarkable, however, is the fact that Lange's interest in these diagrams ultimately gave rise to the idea of building (...) a logic machine. (shrink)

Plato’s Sophist and Statesman stand out from many other Platonic dialogues by at least two features. First, they do not raise a ti esti question about a single virtue or feature of something, but raise the questions what sophist, statesman, and philosopher are, how they differ from each other, and what worth each should be accorded. Second, a visitor from Elea, rather than Socrates, seeks to addressed these questions and does so by employing what is commonly referred to as the (...) method of collection and division. Some scholars have argued that this so-called method is value neutral and therefore unable to address the question how philosophy differs from sophistry and statesmanship according to worth. This article contends that the procedures of collection and division does not preclude the visitor from taking considerations of worth into account, but rather helps establish an objective basis for settling the main questions of the dialogue. (shrink)

This paper presents an analysis of Seneca's 58th letter to Lucilius and Porphyry's Isagoge, which were the origin of the tree diagrams that became popular in philosophy and logic from the early Middle Ages onwards. These diagrams visualise the extent to which a concept can be understood as a category, genus, species or individual and what the method of dihairesis (division) means. The paper explores the dissimilarities between Seneca's and Porphyry's tree structures, scrutinising them through the perspective of modern graph (...) theory. Although traditional trees can be interpreted in a modern way, their terms and definitions defy modern standardisation. These distinctions are not only useful for differentiating between Seneca's and Porphyry's trees, but also for comprehending the evolution of this philosophical tradition. Thus the paper highlights the continued significance of these tree diagrams in analysing concepts and categories in philosophy and structuring objects and information in modern fields such as artificial intelligence, computer science, bioinformatics, graph theory, and many more. (shrink)

In a possible world framework, an agent can be said to know a proposition just in case the proposition is true at all worlds that are epistemically possible for the agent. Roughly, a world is epistemically possible for an agent just in case the world is not ruled out by anything the agent knows. If a proposition is true at some epistemically possible world for an agent, the proposition is epistemically possible for the agent. If a proposition is true at (...) all epistemically possible worlds for an agent, the proposition is epistemically necessary for the agent, and as such, the agent knows the proposition. -/- This framework presupposes an underlying space of worlds that we can call epistemic space. Traditionally, worlds in epistemic space are identified with possible worlds, where possible worlds are the kinds of entities that at least verify all logical truths. If so, given that epistemic space consists solely of possible worlds, it follows that any world that may remain epistemically possible for an agent verifies all logical truths. As a result, all logical truths are epistemically necessary for any agent, and the corresponding framework only allows us to model logically omniscient agents. This is a well-known consequence of the standard possible world framework, and it is generally taken to imply that the framework cannot be used to model non-ideal agents that fall short of logical omniscience. -/- A familiar attempt to model non-ideal agents within a broadly world involving framework centers around the use of impossible worlds where the truths of logic can be false. As we shall see, if we admit impossible worlds where “anything goes” in epistemic space, it is easy to avoid logical omniscience. If any logical falsehood is true at some impossible world, then any logical falsehood may remain epistemically possible for some agent. As a result, we can use an impossible world involving framework to model extremely non-ideal agents that do not know any logical truths. -/- A much harder, and considerably less investigated challenge is to ensure that the resulting epistemic space can also be used to model moderately ideal agents that are not logically omniscient but nevertheless logically competent. Intuitively, while such agents may fail to rule out impossible worlds that verify complex logical falsehoods, they are nevertheless able to rule out impossible worlds that verify obvious logical falsehoods. To model such agents, we need a construction of a non-trivial epistemic space that partly consists of impossible worlds where not "anything goes". This involves imposing substantive constraints on impossible worlds to eliminate from epistemic space, say, trivially impossible worlds that verify obvious logical falsehoods. -/- The central aim of this dissertation is to investigate the nature of such non-trivially impossible worlds and the corresponding epistemic spaces. To flag my conclusions, I argue that successful constructions of epistemic spaces that can safely navigate between the Charybdis of logical omniscience and the Scylla of of “anything goes” are hard, if not impossible to find. (shrink)

It has recently been argued that a sensitivity theory of knowledge cannot account for intuitively appealing instances of higher-order knowledge. In this paper, we argue that it can once careful attention is paid to the methods or processes by which we typically form higher-order beliefs. We base our argument on what we take to be a well-motivated and commonsensical view on how higher-order knowledge is typically acquired, and we show how higher-order knowledge is possible in a sensitivity theory once this (...) view is adopted. (shrink)

I raise two objections against Christian List and Peter Menzies' influential account of high-level causation. Improving upon some of Stephen Yablo's earlier work, I develop an alternative theory which evades both objections. The discussion calls into question List and Menzies' main contention, namely, that the exclusion principle, applied to difference-making, is false.

Doctoral graduates in philosophy are an excellent source of information about the discipline: they are at the cutting edge of research trends, have an inside view of researchfocused departments, and their employment prospects provide early insights on the future health of the discipline. We report on the results of a survey sent to recent PhD graduates and current students, as well as data gathering efforts by Academic Placement Data and Analysis that have taken place over the past ten years. In (...) this report we especially focus on demographic representation, program ratings, academic job placement, and non-academic careers. (shrink)

Ein Beispiel für die Rezeption und Fortführung der schopenhauerschen Logik findet man in den Mathematiklehrbüchern Friedrich Adolph Wilhelm Diesterwegs (1790–1866), In diesem Aufsatz werden die historische und systematische Dimension dieser Anwendung von Logikdiagramme auf die Mathematik skizziert. In Kapitel 2 wird zunächst die frühe Rezeption der schopenhauerschen Logik und Philosophie der Mathematik vorgestellt. Dabei werden einige oftmals tradierte Vorurteile, die das Werk Schopenhauers betreffen, in Frage gestellt oder sogar ausgeräumt. In Kapitel 3 wird dann die Philosophie der Mathematik und der (...) Logik Schopenhauers vorgestellt. Es wird gezeigt, dass Schopenhauers Logikdiagramme auf Ideen der Mathematiker Leonhard Euler (1707–1783), Bernhard Friedrich Thibaut (1775–1832) und Franz Ferdinand Schweins (1780–1856) zurückgehen und dass Schopenhauer diese Logikdiagramme auch bereits zur Analyse mathematischer Begriffe verwendet. Kapitel 4 beschäftigt sich mit der Schopenhauer-Rezeption Diesterwegs. Es wird die Frage behandelt, inwieweit Diesterweg in der Mathematik von Schopenhauer beeinflusst war und welche Rolle dieser Einfluss auf sein Verständnis von Logik und Mathematik hatte. In Kapitel 5 wird schließlich gezeigt, dass Diesterweg die schopenhauersche Begriffsanalyse der Mathematik mit Hilfe von Logikdiagrammen aufgreift und weiterführt. Da Diesterweg einer der einflussreichsten Pädagogen und Mathematikdidaktiker des 20. Jahrhunderts war, ist anzunehmen, dass sich Spuren dieser Methode noch heute finden lassen. Inwiefern dies wahrscheinlich ist, wird in der Zusammenfassung (Kapitel 6) thematisiert. (shrink)

Reism or concretism are the labels for a position in ontology and semantics that is represented by various philosophers. As Kazimierz Ajdukiewicz and Jan Woleński have shown, there are two dimensions with which the abstract expression of reism can be made concrete: The ontological dimension of reism says that only things exist; the semantic dimension of reism says that all concepts must be reduced to concrete terms in order to be meaningful. In this paper we argue for the following two (...) theses: (1) Arthur Schopenhauer has advocated a reistic philosophy of language which says that all concepts must ultimately be based on concrete intuition in order to be meaningful. (2) In his semantics, Schopenhauer developed a theory of logic diagrams that can be interpreted by modern means in order to concretize the abstract position of reism. Thus we are not only enhancing Jan Woleński’s list of well-known reists, but we are also adding a diagrammatic dimension to concretism, represented by Schopenhauer. (shrink)

Meaningful work is an important ideal, but it seems hard to give an adequate account of meaningful work. In this article, I conduct a revisionary conceptual analysis of ‘meaningful work’, i.e. a conceptual analysis that aims at finding a better and more useful way to use this term. I argue for a distinction between cases where work itself is meaningful and cases where other sources of meaning are found at work. The term ‘meaningful work’ is most useful for the former (...) cases. I then argue for the reasons account of what makes work itself meaningful: work is meaningful if (and to the extent that) there are good reasons to do it. I compare this to established accounts of meaningful work, such as subjective meaningfulness, self-realization, alienation, the unity of conception and execution, autonomy, social contribution, and Veltman’s four-dimensional account. None of these capture the distinct concern that the concept ‘meaningful work’ should capture, or they do so less well than the reasons account. This also shows that work can be meaningful regardless of whether it is good in other respects, such as in inherent interest or opportunities for self-realization. (shrink)

The essays in this volume investigate the question of where, and in what sense, the bounds of intelligible thought, knowledge, and speech are to be drawn. Is there a way in which we are limited in what we think, know, and say? And if so, does this mean that we are constrained – that there is something beyond the ken of human intelligibility of which we fall short? Or is there another way to think about these limits of intelligibility – (...) namely, as conditions of our meaning and knowing anything, beyond which there is no specifiable thing we cannot do? -/- These issues feature prominently in the writings of Kant and Wittgenstein who each engaged with them in unique and striking ways. Their thoughts on the matter remain provocative and stimulating, and accordingly the contributions to this volume address the issues surrounding the limits of intelligibility both exegetically and systematically: they examine how they figure in Kant’s and Wittgenstein’s most significant works and put them in touch with contemporary debates that are shaped by their legacy. These debates concern, inter alia, logically and morally alien thought, the semantics and philosophy of negation, disjunctivism in philosophy of perception and ethics, paraconsistent approaches to contradiction, and the relation between art, literature, and philosophy. The book is divided into four parts: Part I gives a first assessment of the issues, Part II examines limits as they feature in Kant, Part III as they feature in Wittgenstein, and Part IV suggests some ways in which the questions at issue might be reconsidered, drawing upon ideas in phenomenology, dialetheism, metamathematics, and the works of other influential authors. -/- Limits of Intelligibility provides insight into a theme that is central to the thought of two of the most important figures in modern philosophy, as well as to recent metaphysics, philosophy of language, philosophy of logic, epistemology, and ethics. (shrink)

Logic diagrams have seen a resurgence in their application in a range of fields, including logic, biology, media science, computer science and philosophy. Consequently, understanding the history and philosophy of these diagrams has become crucial. As many current diagrammatic systems in logic are based on ideas that originated in the 18th and 19th centuries, it is important to consider what motivated the use of logic diagrams in the past and whether these reasons are still valid today. This paper proposes that (...) transcendental philosophy was a key inspiration for the development of logic diagrams and that such diagrams can be employed in transcendental arguments, even after the linguistic turn. (shrink)

Kant lectured on moral philosophy fairly regularly over the course of his long, 40-year teaching career. Bearing a variety of different titles such as “Practical Philosophy”, “Ethics”, and “Universal Practical Philosophy and Ethics”, we have evidence that Kant offered a course on moral philosophy in at least 28 different semesters (of these we can prove that 19 actually took place, 9 others were advertised and there is good reason to think that they took place - see Arnoldt 1909). This means (...) that Kant offered a course on ethics in approximately one third of every semester he taught. The student notes from these lectures have proved invaluable resources for gaining insight into Kant’s intellectual development, his opinion on issues not covered extensively in the published works, and his character as a university instructor, among many others things. From his lectures on ethics, 23 distinct sets of notes are thought to have existed at any one point in time, but many of these have since been lost or destroyed (see Naragon 2006). Only 14 sets of notes still exist, either as an original, a copy, a published version of a subsequently lost manuscript, or just a collection of fragments (ibid.). But each of these are not unique, distinct sets of notes. For example: of the 23 sets of known notes, 13 of them belong to the same group in the sense that they are thought to all be copies of one original set. In the end, we possess only five distinct sets of notes from Kant’s lectures on ethics, stemming from various periods of his life: Herder (1760s), Kaehler/Collins (1770s), Powalski (1782/3), Mrongovius (1784/5), and Vigilantius (1790s). In what follows, each of these sets of notes will be given their own brief discussion. (shrink)

In this paper, we analyze and discuss Schopenhauer’s n-term diagrams for eristic dialectics from a graph-theoretical perspective. Unlike logic, eristic dialectics does not examine the validity of an isolated argument, but the progression and persuasiveness of an argument in the context of a dialogue or even controversy. To represent these dialogue situations, Schopenhauer created large maps with concepts and Euler-type diagrams, which from today’s perspective are a specific form of graphs. We first present the original method with Euler-type diagrams, then (...) give the most important graph-theoretical definitions, then discuss Schopenhauer’s diagrams graph-theoretically and finally give an example of how the graphs or diagrams can be used to analyze dialogues. (shrink)

In Critique of Pure Reason Kant speaks about motion, as action of the subject in connection with the actions by which we describe a space, such as drawing a line or constructing a circle. In a 1992-paper in Kant-Studien I argued that this is one important piece of textual evidence for the so-called externalist interpretation, according to which the transcendental conditions of experience and indeed all the a priori elements in Kant’s system are public, depending upon overt action. Konstantin Pollok (...) has criticized my reading, arguing that the relevant use of the term “motion” here is just metaphorical, and considering some central Kantian doctrines that he thinks refutes the externalist interpretation. The present paper defends the externalist interpretation against Pollok’s charges. (shrink)