A natural view of testimony holds that a source's statements provide one with evidence about what the source believes, which in turn provides one with evidence about what is true. But some theorists have gone further and developed a broadly analogous view of memory. According to this view, which this essay calls the “diary model,” one's memory ordinarily serves as a means for one's present self to gain evidence about one's past judgments, and in turn about the truth. This essay (...) rejects the diary model's analogy between memory and testimony from one's former self, arguing first that memory and a diary differ with respect to their psychological roles, and second that this psychological difference underwrites important downstream epistemic differences. The resulting view stands opposed to prominent discussions of memory and testimony, which either, like the diary model, treat memory by analogy to what we naively wish to say about testimony, or which instead attempt to extend to testimony the epistemically preservative role of memory. (shrink)

This paper critically examines currently influential transparency accounts of our knowledge of our own beliefs that say that self-ascriptions of belief typically are arrived at by “looking outward” onto the world. For example, one version of the transparency account says that one self-ascribes beliefs via an inference from a premise to the conclusion that one believes that premise. This rule of inference reliably yields accurate self-ascriptions because you cannot infer a conclusion from a premise without believing the premise, and so (...) you cannot infer from a premise that you believe the premise unless you do believe it. I argue that this procedure cannot be a source of justification, however, because one can be justified in inferring from p that q only if p amounts to strong evidence that q is true. This is incompatible with the transparency account because p often is not very strong evidence that you believe that p. For example, unless you are a weather expert, the fact that it will rain is not very strong evidence that you believe it will rain. After showing how this intuitive problem can be made precise, I conclude with a broader lesson about the nature of inferential justification: that beliefs, when justified, must be underwritten by beliefs, when justified, must be underwritten by evidential relationships between the facts or propositions which those beliefs represent. (shrink)

According to a traditional Cartesian epistemology of perception, perception does not provide one with direct knowledge of the external world. Instead, your immediate perceptual evidence is limited to facts about your own visual experience, from which conclusions about the external world must be inferred. Cartesianism faces well-known skeptical challenges. But this chapter argues that any anti-Cartesian view strong enough to avoid these challenges must license a way of updating one’s beliefs in response to anticipated experiences that seems diachronically irrational. To (...) avoid this result, the anti-Cartesian must either license an unacceptable epistemic chauvinism, or else claim that merely reflecting on one’s experiences defeats perceptual justification. This leaves us with a puzzle: Although Cartesianism faces problems, avoiding them brings a new set of problems. (shrink)

The law views with suspicion statistical evidence, even evidence that is probabilistically on a par with direct, individual evidence that the law is in no way suspicious of. But it has proved remarkably hard to either justify this suspicion, or to debunk it. In this paper, we connect the discussion of statistical evidence to broader epistemological discussions of similar phenomena. We highlight Sensitivity – the requirement that a belief be counterfactually sensitive to the truth in a specific way – as (...) a way of epistemically explaining the legal suspicion towards statistical evidence. Still, we do not think of this as a satisfactory vindication of the reluctance to rely on statistical evidence. Knowledge – and Sensitivity, and indeed epistemology in general – are of little, if any, legal value. Instead, we tell an incentive-based story vindicating the suspicion towards statistical evidence. We conclude by showing that the epistemological story and the incentive-based story are closely and interestingly related, and by offering initial thoughts about the role of statistical evidence in morality. (shrink)

Is self-knowledge a requirement of rationality, like consistency, or means-ends coherence? Many claim so, citing the evident impropriety of asserting, and the alleged irrationality of believing, Moore-paradoxical propositions of the form < p, but I don't believe that p>. If there were nothing irrational about failing to know one's own beliefs, they claim, then there would be nothing irrational about Moore-paradoxical assertions or beliefs. This article considers a few ways the data surrounding Moore's paradox might be marshaled to support rational (...) requirements to know one's beliefs, and finds that none succeed. (shrink)

The starting point regarding consent has to be that it is both extremely important, and that it is often suspicious. In this article, the author tries to make sense of both of these claims, from a largely liberal perspective, tying consent, predictably, to the value of autonomy and distinguishing between autonomy as sovereignty and autonomy as nonalienation. The author then discusses adaptive preferences, claiming that they suffer from a rationality flaw but that it's not clear that this flaw matters morally (...) or politically. What matters is whether they suffer from an autonomy flaw. To answer this question, the author develops an account of autonomy failure, according to which a preference is nonautonomous if an injustice played an appropriate role in its causal history. The author then discusses the moral implications—and in an initial way, the political ones as well—of proclaiming a preference, or consent based on it, nonautonomous in this way. (shrink)

Critical race theorists and standpoint epistemologists argue that agents who are members of dominant social groups are often in a state of ignorance about the extent of their social dominance, where this ignorance is explained by these agents' membership in a socially dominant group (e.g., Mills 2007). To illustrate this claim bluntly, it is argued: 1) that many white men do not know the extent of their social dominance, 2) that they remain ignorant as to the extent of their dominant (...) social position even where this information is freely attainable, and 3) that this ignorance is due in part to the fact that they are white men. We argue that on Buchak's (2010, 2013) model of risk averse instrumental rationality, ignorance of one's privileges can be rational. This argument yields a new account of elite-group ignorance, why it may occur, and how it might be alleviated. (shrink)

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

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

Statistical evidence—say, that 95% of your co-workers badmouth each other—can never render resenting your colleague appropriate, in the way that other evidence (say, the testimony of a reliable friend) can. The problem of statistical resentment is to explain why. We put the problem of statistical resentment in several wider contexts: The context of the problem of statistical evidence in legal theory; the epistemological context—with problems like the lottery paradox for knowledge, epistemic impurism and doxastic wrongdoing; and the context of a (...) wider set of examples of responses and attitudes that seem not to be appropriately groundable in statistical evidence. Regrettably, we do not come up with a fully general, fully adequate, fully unified account of all the phenomena discussed. But we give reasons to believe that no such account is forthcoming, and we sketch a somewhat messier account that may be the best that can be had here. (shrink)

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

Philosophical Issues, Volume 31, Issue 1, Page 85-103, October 2021.

An internalist slogan says that justification depends on internal factors. But which factors are those? This paper examines some common motivations favoring internalism over externalism, and says they are compatible with including dispositional and even past mental states in the internal.

ABSTRACTIn a recent paper, Michael Pardo argues that the epistemic property that is legally relevant is the one called Safety, rather than Sensitivity. In the process, he argues against our Sensitivity-related account of statistical evidence. Here we revisit these issues, partly in order to respond to Pardo, and partly in order to make general claims about legal epistemology. We clarify our account, we show how it adequately deals with counterexamples and other worries, we raise suspicions about Safety's value here, and (...) we revisit our general skepticism about the role that epistemological considerations should play in determining legal policy. (shrink)

本文通过对德国著名汉学家、翻译家卫礼贤的最后一部哲学论著《中国哲学导 论》(1929)的翻译和研究,整理归纳了卫礼贤对中国哲学的核心词“道”的五种不同译法, 深入剖析了他如何用“一词多译”的方法,对中国哲学史上不同文本、不同哲学家、不同时代 及不同思想维度中的“道”进行诠释。同时,本文以术语学(Terminologie)为研究方法,聚焦 于卫礼贤用来翻译“道”的几个德语哲学术语,并对这些词汇进行溯源。以此为切入点, 本文 分析了卫礼贤作为对中国哲学与德国哲学均有深刻理解的汉学家,有意识地从跨文化比较哲学 的角度出发,将“道”转换为德国哲学中与之相匹配的哲学概念,并将其介绍给德国思想界的 路径。重新审视卫礼贤对“道”的“一词多译”,在加强当今中外文化互鉴和中文著作外译方面 具有积极且重要的作用。[This contribution is based on the translation and study of the book Chinesische Philosophie: Eine Einführung (Chinese Philosophy: An Introduction, 1929). It is the last philosophy-related work by the famous German sinologist and translator Richard Wilhelm. The article provides a compilation, summary, and in-depth analysis concerning Wilhelm's handling of the translation of "Dao", the "Urwort" (Heidegger) of Chinese philosophy. The study provides insight into how Wilhelm has used a poly-perspective method to (...) interpret the word “Dao" by using five different translation terms in relation to divergent texts, various philosophers, and different periods in the history of Chinese philosophy. Some of the German philosophical terms that were applied in these translations are investigated by tracing their etymological origins and general semantics. Richard Wilhelm was a sinologist with a deep understanding of both Chinese and German philosophical traditions. He deliberately imparted the different philosophical meanings of "Dao" in a way that was compatible with the context of the contemporary German intellectual community. In parts, he presented this semantic field from the perspective of transcultural philosophy. We believe that a re-examination of Richard Wilhelm's variational approaches to translate the term "Dao" can provide important methodological inspirations for the translation of complex Chinese texts as well as concerning the improvement of mutual cultural understanding between Chinese and other cultures.]. (shrink)

In this paper, we present three necessary conditions for morally responsible animal research that we believe people on both sides of this debate can accept. Specifically, we argue that, even if human beings have higher moral status than nonhuman animals, animal research is morally permissible only if it satisfies (a) an expectation of sufficient net benefit, (b) a worthwhile-life condition, and (c) a no unnecessary-harm/qualified-basic-needs condition. We then claim that, whether or not these necessary conditions are jointly sufficient conditions of (...) justified animal research, they are relatively demanding with the consequence that many animal experiments may fail to satisfy them. (shrink)

Does it count against a normative theory in political philosophy that it is in some important sense infeasible, that its prescriptions are unlikely to be complied with? Though a positive answer seems plausible, it has proved hard to defend against the claim that this is not how normative theories work - noncompliance shows a problem with the noncomplying agents, not with the normative theory. I think that this line of thought - this defense of Utopianism - wins the battle but (...) loses the war. It’s right about what does and what does not refute a normative theory. It’s wrong in misidentifying the problem. The right way to think about the feasibility worry is as essentially involving multiple agents, and how expected noncompliance by one agent may refute a normative claim addressed at another. Thus understood, feasibility problems may very well refute a theory in political philosophy. In this paper I develop this understanding of the feasibility worry, tie it to more general discussions in normative ethics, and in political philosophy. (shrink)

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

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

Categorical logic has shown that modern logic is essentially the logic of subsets (or "subobjects"). Partitions are dual to subsets so there is a dual logic of partitions where a "distinction" [an ordered pair of distinct elements (u,u′) from the universe U ] is dual to an "element". An element being in a subset is analogous to a partition π on U making a distinction, i.e., if u and u′ were in different blocks of π. Subset logic leads to finite (...) probability theory by taking the (Laplacian) probability as the normalized size of each subset-event of a finite universe. The analogous step in the logic of partitions is to assign to a partition the number of distinctions made by a partition normalized by the total number of ordered pairs |U|² from the finite universe. That yields a notion of "logical entropy" for partitions and a "logical information theory." The logical theory directly counts the (normalized) number of distinctions in a partition while Shannon's theory gives the average number of binary partitions needed to make those same distinctions. Thus the logical theory is seen as providing a conceptual underpinning for Shannon's theory based on the logical notion of "distinctions.". (shrink)

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

We take it that we can exercise doxastic agency by reasoning and by making judgments. We take it, that is, that we can actively make up our minds by reasoning and judging. On what I call the ‘Standard View’ this is so because judgment can yield belief. It is typical to take it that judgments yield beliefs by causing them. But on the resultant understanding of the Standard View, I argue, it is unclear how judgment could play its role in (...) doxastic agency in the way we take it to. I therefore offer an alternative understanding of how judgment yields belief. Drawing on Ryle I argue that when one comes to believe by judging the event which is one's judging is token identical to the event which is one's coming to believe. This paves the way for version of the Standard View capable of explaining how we can actively make up our minds despite that we cannot believe or come to believe at will. (shrink)

Kagan argues that human beings who are neither persons nor even potential persons — if their impairment is independent of genetic constitution — are modal persons: individuals who might have been persons. Moreover, he proposes a view according to which both personhood and modal personhood are sufficient for counting more, morally, than nonhuman animals. In response to this proposal, I raise one relatively minor concern about Kagan's reasoning — that he judges too quickly that insentient beings can have interests — (...) before engaging the appeal to modal personhood. I challenge the thesis that modal personhood is relevant to one's moral status, first, by way of analogy to a kicker who misses a field goal though he might have made it; second, by casting doubt on implications for two impaired infants ; and, finally, by examining implications for dogs who would count as modal persons when genetic enhancements are capable of transforming them into persons. (shrink)

We naturally see ourselves as capable of being active with respect to the matter of what we believe – as capable of epistemic agency. A natural view is that we can exercise such agency by engaging in reasoning. Sceptics contend that such a view cannot be maintained in light of the fact that reasoning involves judgements, which are not decided upon or the products of prior intentions. In response, I argue that reasoning in fact can amount to epistemic agency in (...) virtue of its being aim-directed in a way that cannot be reconciled with the sceptics' conception of it. (shrink)

Implicit in our everyday attitudes and practices is the assumption that death ordinarily harms a person who dies. A far more contested matter is whether death harms sentient individuals who are not persons, a category that includes many animals and some human beings. On the basis of the deprivation account of the harm of death, I argue that death harms sentient nonpersons. I next consider possible bases for the commonsense judgment that death ordinarily harms persons more than it harms sentient (...) nonpersons. Contrary to what some philosophers believe, it is doubtful that the familiar resources of prudential value theory can vindicate this judgment. I show that the approach that at first glance seems most promising for supporting this judgment – namely, invoking an objective account of well-being – faces substantial challenges, before arguing that McMahan's time-relative interest account supplies the needed theoretical basis. I then go on to extract a significant practical implication of the first thesis, that death ordinarily harms sentient nonpersons: We should find a way to discontinue the routine killing of animal subjects following their use in experiments. (shrink)

The aim of this paper is to create dialectical space for a hitherto under-discussed option in the philosophy of conspiracy theories. The extant literature on the topic almost exclusively assumes that conspiracy theories are a type of explanation. The typical mental attitude towards explanations is belief, a representational attitude that can be assessed as true, false, warranted or unwarranted. I call models based on this assumption alethic models. Alethic models can’t pick out conspiracy theories as a distinct class of mental (...) attitudes without latching onto their negative epistemic properties. The extant literature therefore finds itself in an unfortunate situation. It either has to presume that conspiracy theories are epistemically defective in general (generalism). Or it has to deny that conspiracy theories are a distinct class of mental attitudes. Conspiracy theories are then nothing more than theories, theories about conspiracies, and should be assessed on a case-by-case basis (particularism). Instead, this paper motivates the research program of narrative models. According to narrative models, conspiracy theories are first and foremost stories – structured fictions. And their relevant mental attitudes are the attitudes of fiction – make-believe and imagination. Fictions are not subjects to epistemic norms. They are neither rational nor irrational. Narrative models can therefore pick out conspiracy theories as a distinct class of mental attitudes without labeling them as defective in general. In addition, they are able to explain certain features of conspiracy discourse particularly well, and they offer new perspectives on the popularity of conspiracy theories and the means of intervention we have at our disposal. (shrink)

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

Aristotle presents a formal logic in the Prior Analytics in which the premises and conclusions are never conditionals. In this paper I argue that he did not simply overlook conditionals, nor does their absence reflect a metaphysical prejudice on his part. Instead, he thinks that arguments with conditionals cannot be syllogisms because of the way he understands the explanatory requirement in the definition of a syllogism: the requirement that the conclusion follow because of the premises. The key passage is Prior (...) Analytics I.32, 47a22–40, where Aristotle considers an argument with conditionals that we would consider valid, but which he denies is a syllogism. I argue that Aristotle thinks that to meet the explanatory requirement a syllogism must draw its conclusion through the way its terms are predicated of one another. Because arguments with conditionals do not, in general, draw their conclusions through predications, he did not include them in his logic. (shrink)

After Marx, dissenting economics almost always used 'the labour theory' as a theory of value. This paper develops a modern treatment of the alternative labour theory of property that is essentially the property theoretic application of the juridical principle of responsibility: impute legal responsibility in accordance with who was in fact responsible. To understand descriptively how assets and liabilities are appropriated in normal production, a 'fundamental myth' needs to be cleared away, and then the market mechanism of appropriation can be (...) understood. On the normative side, neoclassical theory represents marginal productivity theory as showing that (a metaphorical version of) the imputation principle is satisfied ('people get what they produce') in competitive enterprises. Since that shows the moral commitment of neoclassical economics to the imputation principle, the labour theory of property is presented here as the actual non-metaphorical application of the imputation principle to property appropriation. The property-theoretic analysis at the firm level shows how the neoclassical (and much heterodox) analysis in terms of 'distributive shares' wholly misframed the basic questions. Finally, the paper shows how the imputation principle (modernised labour theory of property) is systematically violated in the present wage labour system of renting persons. The paper can be seen as taking up the recent challenge posed by Donald Katzner for a dialogue between neoclassical and heterodox microeconomics. (shrink)

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

The purpose of this paper is to show that the mathematics of quantum mechanics is the mathematics of set partitions linearized to vector spaces, particularly in Hilbert spaces. That is, the math of QM is the Hilbert space version of the math to describe objective indefiniteness that at the set level is the math of partitions. The key analytical concepts are definiteness versus indefiniteness, distinctions versus indistinctions, and distinguishability versus indistinguishability. The key machinery to go from indefinite to more definite (...) states is the partition join operation at the set level that prefigures at the quantum level projective measurement as well as the formation of maximally-definite state descriptions by Dirac’s Complete Sets of Commuting Operators. This development is measured quantitatively by logical entropy at the set level and by quantum logical entropy at the quantum level. This follow-the-math approach supports the Literal Interpretation of QM—as advocated by Abner Shimony among others which sees a reality of objective indefiniteness that is quite different from the common sense and classical view of reality as being “definite all the way down”. (shrink)

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

We argue that genuine modal realism can be extended, rather than modified, so as to allow for the possibility of nothing concrete, a possibility we term ‘metaphysical nihilism’. The issue should be important to the genuine modal realist because, not only is metaphysical nihilism itself intuitively plausible, but also it is supported by an argument with pre-theoretically credible premises, namely, the subtraction argument. Given the soundness of the subtraction argument, we show that there are two ways that the genuine modal (...) realist can accommodate metaphysical nihilism: (i) by allowing for worlds containing only spatiotemporal points and (ii) by allowing for a world containing nothing but the null individual. On methodological grounds, we argue that the genuine modal realist should reject the former way but embrace the latter way. (shrink)

Modern categorical logic as well as the Kripke and topological models of intuitionistic logic suggest that the interpretation of ordinary “propositional” logic should in general be the logic of subsets of a given universe set. Partitions on a set are dual to subsets of a set in the sense of the category-theoretic duality of epimorphisms and monomorphisms—which is reflected in the duality between quotient objects and subobjects throughout algebra. If “propositional” logic is thus seen as the logic of subsets of (...) a universe set, then the question naturally arises of a dual logic of partitions on a universe set. This paper is an introduction to that logic of partitions dual to classical subset logic. The paper goes from basic concepts up through the correctness and completeness theorems for a tableau system of partition logic. (shrink)

This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or toy model of quantum mechanics over sets (QM/sets). There have been several previous attempts to develop a quantum-like model with the base field of ℂ replaced by ℤ₂. Since there are no inner products on vector spaces over finite fields, the problem is to define the Dirac brackets and the probability calculus. The previous attempts (...) all required the brackets to take values in ℤ₂. But the usual QM brackets <ψ|ϕ> give the "overlap" between states ψ and ϕ, so for subsets S,T⊆U, the natural definition is <S|T>=|S∩T| (taking values in the natural numbers). This allows QM/sets to be developed with a full probability calculus that turns out to be a non-commutative extension of classical Laplace-Boole finite probability theory. The pedagogical model is illustrated by giving simple treatments of the indeterminacy principle, the double-slit experiment, Bell's Theorem, and identical particles in QM/Sets. A more technical appendix explains the mathematics behind carrying some vector space structures between QM over ℂ and QM/Sets over ℤ₂. (shrink)

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

Waldron argues that recent treatments of justice have neglected reasonable disagreement about justice itself. So Waldron offers a procedural account of democratic legitimacy, in which contending views of justice can be brought together to arrive at a decision without deciding which one is correct. However, if there is reasonable disagreement about everything, then this includes his preferred account of legitimacy. On the other hand, it is not clear that Waldron is right to count so much disagreement as reasonable. But then (...) Waldron has not undermined the view he opposes in which some prevailing disagreement about justice is held to be unreasonable. (shrink)

Since the pioneering work of Birkhoff and von Neumann, quantum logic has been interpreted as the logic of (closed) subspaces of a Hilbert space. There is a progression from the usual Boolean logic of subsets to the "quantum logic" of subspaces of a general vector space--which is then specialized to the closed subspaces of a Hilbert space. But there is a "dual" progression. The notion of a partition (or quotient set or equivalence relation) is dual (in a category-theoretic sense) to (...) the notion of a subset. Hence the Boolean logic of subsets has a dual logic of partitions. Then the dual progression is from that logic of partitions to the quantum logic of direct-sum decompositions (i.e., the vector space version of a set partition) of a general vector space--which can then be specialized to the direct-sum decompositions of a Hilbert space. This allows the logic to express measurement by any self-adjoint operators rather than just the projection operators associated with subspaces. In this introductory paper, the focus is on the quantum logic of direct-sum decompositions of a finite-dimensional vector space (including such a Hilbert space). The primary special case examined is finite vector spaces over ℤ₂ where the pedagogical model of quantum mechanics over sets (QM/Sets) is formulated. In the Appendix, the combinatorics of direct-sum decompositions of finite vector spaces over GF(q) is analyzed with computations for the case of QM/Sets where q=2. (shrink)

Williamson’s “anti-luminosity” argument aims to establish that there are no significant luminous conditions. “Far from forming a cognitive home”, luminous conditions are mere “curiosities”. Even supposing Williamson’s argument succeeds in showing that there are no significant luminous states his conclusion has not thereby been established. When it comes to determining what is luminous, mental events and processes are among the best candidates. It is events and processes, after all, which constitute the stream of consciousness. Judgment, for instance, is plausibly self-conscious. (...) If I am judging then plausibly I must know that I am. Similarly, deliberation is plausibly self-conscious. To be deliberating about some matter I plausibly must know that I am. That one is judging and that one is deliberating are thus plausibly luminous conditions. Furthermore, I argue, Williamson’s anti-luminosity argument fails to speak against this suggestion. This reveals that Williamson’s argument is more limited in scope than has been thought—something likely missed due to a misplaced focus on mental states in the luminosity debate as well as in epistemology and the philosophy of mind more generally. For all Williamson shows, there may be luminous events and processes of a sort apt to constitute a cognitive home. I conclude by considering how the anti-luminosity argument might be reinstated in the judgment case and argue that the natural way to do so fails. (shrink)

This paper argues that the problematic of rule following in Wittgenstein's Philosophical Investigations and Heidegger's analysis of anxiety in Being and Time have analogous structures. Working through these analogies helps our interpretation of both of these authors. Contrasting sceptical and anti-sceptical readings of Wittgenstein helps us to resolve an interpretive puzzle about what an authentic response to anxiety looks like for Heidegger. And considering the importance of anxiety to Heidegger's conception of authenticity allows us to locate in Wittgenstein's later philosophy (...) a covert appeal to something resembling Heideggerian authenticity. (shrink)