It has often been noticed that conciliatory views of disagreement are "self-undermining" in a certain way: advocates of such views cannot consistently maintain them when other philosophers disagree. This leads to apparent problems of instability and even inconsistency. Does self-undermining, then, show conciliationism untenable? If so, the untenablity would extend not only to almost all views of disagreement, but to a wide range of other views supporting what one might call epistemic modesty: roughly, the idea that getting evidence that one (...) has made an epistemic error in arriving at one’s opinion may require adjusting that opinion. This paper argues that the phenomenon of self-undermining does not disclose any defect in views mandating epistemic modesty. Instead, it highlights an uncomfortable but natural consequence of reflecting on one's own possible epistemic imperfections, a sort of reflection that tends to cause epistemic ideals to conflict. (shrink)

Compare your pain when immersing your hand in freezing water and your pleasure when you taste your favourite wine. The relationship seems obvious. Your pain experience is unpleasant, aversive, negative, and bad. Your experience of the wine is pleasant, attractive, positive, and good. Pain and pleasure are straightforwardly opposites. Or that, at any rate, can seem beyond doubt, and to leave little more to be said. But, in fact, it is not beyond doubt. And, true or false, it leaves a (...) good deal more to be said: about the nature of sensory affect; its relations to perception, motivation, and rationality; its value; and the mechanisms underlying it. Much is said about these matters in the contributions that follow. Here, in this introductory essay, we map the dialectical landscape and locate our contributors’ papers within it. (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)

The Simple Question (SQ) asks: “What are the necessary and jointly sufficient conditions any x must satisfy in order for it to be true that x is a simple?” The main motivation for asking SQ stems from the hope that it could teach us important lessons for material-object ontology. It is universally accepted that a proper answer to it has to be finite, complete and devoid of mereological expressions. This paper argues that we should stop treating SQ as the central (...) question to be asked about simples; there are a plethora of questions about simples that may even be addressed without answering the original question. The paper closes with some tentative remarks on how this lesson could be extended to van Inwagen’s Special Composition Question. (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)

In How We Get Along, philosopher David Velleman compares our social interactions to the interactions among improvisational actors on stage. He argues that we play ourselves - not artificially but authentically, by doing what would make sense coming from us as we really are. And, like improvisational actors, we deal with one another in dual capacities: both as characters within the social drama and as players contributing to the shared performance. In this conception of social intercourse, Velleman finds rational (...) grounds for morality, though not a rational guarantee. He maps a middle course between skepticism and rationalism, arguing that practical reasoning is 'pro-moral' without requiring moral action. The result is what he calls a 'Kinda Kantian metaethics'. How We Get Along is the summation of Velleman's thinking to date, incorporating and unifying previous work on agency, the self, the emotions, narrative and Kantian moral theory. (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)

An introduction to Karl Mannheim's sociology of knowledge for a textbook.

In the first half of this paper, I argue that essential properties are intrinsic and that this permits a modal analysis of essence that is immune the sort of objections raised by Fine. In the second half, I argue that intrinsic properties collectively have a certain structure and that this accounts for some observations about essences: that things are essentially determinate; that things often have properties within a certain range essentially; and that the essential properties of things are their core (...) properties. (shrink)

The eponymous dialogue presents the sophist as a figure who defies definition, and those difficulties are attributed to the conception of the image. Ultimately, the sophist is defined as a species of image maker. The image, however, which is important throughout the Platonic corpus as a metaphor, an analogy, and a metaphysical concept as well, receives in the Sophist little clarification or definition apart from whatever may be inferred from the division of image making arts. In the Sophist, the sophist (...) escapes definition as in no other dialogue, rendering even the concluding division one that makes the distinction of the sophist from the philosopher problematic, if not impossible. The paper explores how the dialogue problematizes and rethinks the metaphysics of the image, as compared to its use in dialogues such as the Phaedo and the Republic, pointing to a refinement in understanding the relation of judgment to knowledge and appearance to reality. (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.

It is argued that the analysis by which the gene are differentiated in the dialogue is an exercise in studied ambiguities informed by an Eleatic logic of strict dichotomy that was the underpinning of the Sophist's method of division. By this dialectical drill, Plato shows that the metaphysics underlying the Visitor's method fails to adequately distinguish what it means to have a character from what it means to be a character, and therefore remains inadequate to track down the sophist or (...) to distinguish him from the philosopher: Eleaticism, as critically examined by Plato, proves to be means to disguise, not to discover the sophist. (shrink)

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)

According to the grounding theory of powers, fundamental physical properties should be thought of as qualities that ground dispositions. Although this view has recently been defended by many different philosophers, there is no consensus for how the view should be developed within a broader metaphysics of properties. Recently, Tugby has argued that the view should be developed in the context of a Platonic theory of properties, where properties are abstract universals. I will argue that the view should not be developed (...) within such a framework. Either the view should be developed with an ontology of Aristotelian properties, or it should be developed in a Nominalist framework that contains no properties at all. (shrink)

The purpose of this article is twofold: on the one hand, we present the outlines of a history of university collections in Germany. On the other hand, we discuss this history as a case study of the changing attitudes of the sciences towards their material heritage. Based on data from 1094 German university collections, we distinguish three periods that are by no means homogeneous but offer a helpful starting point for a discussion of the entangled institutional and epistemic factors in (...) the history of university collections. In the 19th century, university collections were institutionalized and widely recognized as indispensable in research and teaching. During the 20th century, university collection became increasingly marginalized both on an institutional and theoretical level. Towards the end of the 20th century, the situation of university collections improved partly because of their reconsideration as material heritage. (shrink)

A defense of the value of studying what Aristotle, in the Politics, refers to as useless things, and thereby a defense of the 'uselessness' of the study of the liberal arts.

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)

A curious and comparatively neglected element of death penalty jurisprudence in America is my target in this paper. That element concerns the circumstances under which severely mentally disabled persons, incarcerated on death row, may have their sentences carried out. Those circumstances are expressed in a part of the law which turns out to be indefensible. This legal doctrine—competence-for-execution —holds that a condemned, death-row inmate may not be killed if, at the time of his scheduled execution, he lacks an awareness of (...) his impending death or the reasons for it. I argue that the law of CFE should be abandoned, along with the notion that it is permissible to kill the deeply disturbed just so long as they meet some narrow test of readiness to die. By adopting CFE, the courts have been forced to give independent conceptual and moral significance to a standard for competence that simply cannot bear the weight placed upon it. To be executable, CFE requires that a condemned prisoner meet a standard demonstrating an awareness of certain facts about his death. Yet this standard both leads to confusing and counter-intuitive results and is unsupported either by the reasons advanced by the courts on its behalf or by any of the standard theoretical justifications of criminal punishment. If executing the profoundly psychotic or delusional is wrong the law needs a better account of the wrong done when prisoners like Ford are killed. I suggest wherein that wrong might be located. (shrink)

It is often argued that if one holds a liberal political philosophy about individual rights against the state and the community, then one cannot consistently say that a state that violates those principles is owed the right of noninterference. How could the rights of the collective trump the rights of individuals in a liberal view? I believe that this debate calls for more reflection, on the relation between liberalism and individualism. I will sketch a conception of liberalism in which there (...) is nothing awkward about saying that associations, as such, have some moral rights to noninterference. If liberal associationism is compelling in general terms then, if states can be shown to be associations in the relevant respects, then liberalism itself will supply the moral basis for a right of that kind, held by a state or people as such, to nonintervention. (shrink)

The formal and empirical-generative perspectives of computation are demonstrated to be inadequate to secure the goals of simulation in the social sciences. Simulation does not resemble formal demonstrations or generative mechanisms that deductively explain how certain models are sufficient to generate emergent macrostructures of interest. The description of scientific practice implies additional epistemic conceptions of scientific knowledge. Three kinds of knowledge that account for a comprehensive description of the discipline were identified: formal, empirical and intentional knowledge. The use of formal (...) conceptions of computation for describing simulation is refuted; the roles of programming languages according to intentional accounts of computation are identified; and the roles of iconographic programming languages and aesthetic machines in simulation are characterized. The roles that simulation and intentional decision making may be able to play in a participative information society are also discussed. (shrink)

This article sets forth Voltaire’s philosophy of liberty. Contrary to generally accepted readings, which take Voltaire at face value rather than considering the environment in which he wrote, Voltaire had a clear normative political thought. He was an early proponent of rule of law, ordered liberty, freedom of conscience and expression, and the right to prudent rebellion against tyranny. At the root of his political theory lay a rejection of slavery, and hence of all forms of subjugation.

This chapter discusses the Ganser syndrome and gives a brief account on its clinical features. A significant number of clinicians in Europe continued accepting Ganser's basic postulates that the patients showed significant memory disorder and 'answers towards the question' within the framework of traumatic or reactive hysteria. In elderly patients, Ganser type symptoms may be indicative of the onset of dementia. Ganser syndrome raises the question of the interaction between concepts, ideology and clinical observation. The clinician must be aware that (...) a misdiagnosed case of Ganser-type hysteria may result in lawsuits, unnecessary surgical interventions, inappropriate use of minor and major tranquillizers, and social consequences that may be destabilizing for the patient and family. Positive results in the organic investigation should lead to a firm diagnosis and disconfirmation of Ganser syndrome. Persistent negative results and dramatic improvement should tend to confirm the diagnosis. (shrink)

Classical logic is usually interpreted as the logic of propositions. But from Boole's original development up to modern categorical logic, there has always been the alternative interpretation of classical logic as the logic of subsets of any given (nonempty) universe set. Partitions on a universe set are dual to subsets of a universe set in the sense of the reverse-the-arrows category-theoretic duality--which is reflected in the duality between quotient objects and subobjects throughout algebra. Hence the idea arises of a dual (...) logic of partitions. That dual logic is described here. Partition logic is at the same mathematical level as subset logic since models for both are constructed from (partitions on or subsets of) arbitrary unstructured sets with no ordering relations, compatibility or accessibility relations, or topologies on the sets. Just as Boole developed logical finite probability theory as a quantitative treatment of subset logic, applying the analogous mathematical steps to partition logic yields a logical notion of entropy so that information theory can be refounded on partition logic. But the biggest application is that when partition logic and the accompanying logical information theory are "lifted" to complex vector spaces, then the mathematical framework of quantum mechanics is obtained. Partition logic models indefiniteness (i.e., numerical attributes on a set become more definite as the inverse-image partition becomes more refined) while subset logic models the definiteness of classical physics (an entity either definitely has a property or definitely does not). Hence partition logic provides the backstory so the old idea of "objective indefiniteness" in QM can be fleshed out to a full interpretation of quantum mechanics. (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)

Rejects Levinas’s argument for the preeminence of ethics in philosophy.

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)

In this paper, I suggest that the wrongness of many—though not at all—cases of microaggressions can be captured as cases of negligence. A case of negligence holds when, regardless of an actor’s intentions, he or she wrongs another in a manner that is both reasonably foreseeable and reasonably avoidable. Thinking of microaggressions as negligence answers some objections of skeptics who focus on the possibility that the alleged microaggressor “meant no offense”. It does so while retaining language explaining why a wrong (...) was committed and suggesting what sort of corrective behavior can reasonably be demanded to avoid these wrongs in the future. I also argue that a negligence framework does a better job of phenomenologically explaining most microaggressions—both why they occur and why they are perceived as the sort of conduct that subjects the microaggressor to agent-level moral criticism. Indeed, I believe that negligence-style logic permeates many accounts that already exist regarding microaggressions, albeit without fully being recognized. Finally, in cases where it applies, the negligence framework has an advantage over alternate accounts in that it provides for consideration of both the moral culpability of the perpetrator as well as the tangible impact of microaggressions on the victim. (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)

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)

Corruptionism is the view that following physical death, the human being ceases to exist but their soul persists in the afterlife. Survivalism holds that both the human being and their soul persist in the afterlife, as distinct entities, with the soul constituting the human. Each position has its defenders, most of whom appeal both to metaphysical considerations and to the authority of St Thomas Aquinas. Corruptionists claim that survivalism violates a basic principle of any plausible mereology, while survivalists tend to (...) reject the principle, though without as much detail as one would like. In this paper I examine both the key exegetical issues and the mereological question, arguing that Aquinas cannot be shown to have supported the principle in question, and that the principle should be rejected on independent grounds. If correct, some key planks in support of survivalism are established, with others to await further examination. (shrink)

This essay aims to vindicate the thesis that cognitive computational properties are abstract objects implemented in physical systems. I avail of Voevodsky's Univalence Axiom and function type equivalence in Homotopy Type Theory, in order to specify an abstraction principle for epistemic (hyper-)intensions. The homotopic abstraction principle for epistemic (hyper-)intensions provides an epistemic conduit for our knowledge of (hyper-)intensions as abstract objects. Higher observational type theory might be one way to make first-order abstraction principles defined via inference rules, although not higher-order (...) abstraction principles, computable. The truth of my first-order abstraction principle for hyperintensions is grounded in its being possibly recursively enumerable i.e. Turing computable and the Turing machine being physically implementable. Epistemic modality and hyperintensionality can thus be shown to be both a compelling and a materially adequate candidate for the fundamental structure of mental representational states, comprising a fragment of the language of thought. (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)