One sometimes believes a proposition without grasping it. For example, a complete achromat might believe that ripe tomatoes are red without grasping this proposition. My aim in this paper is to shed light on the difference between merely believing a proposition and grasping it. I focus on two possible theories of grasping: the inferential theory, which explains grasping in terms of inferential role, and the phenomenal theory, which explains grasping in terms of phenomenal consciousness. I argue that the phenomenal theory (...) is more plausible than the inferential theory. (shrink)

The Problem of Overlappers is a puzzle about what makes it the case, and how we can know, that we have the parts we intuitively think we have. In this paper, I develop and motivate an overlooked solution to this puzzle. According to what I call the self-making view it is within our power to decide what we refer to with the personal pronoun ‘I’, so the truth of most of our beliefs about our parts is ensured by the very (...) mechanism of self-reference. Other than providing an elegant solution to the Problem of Overlappers, the view can be motivated on independent grounds. It also has wide-ranging consequences for how we should be thinking about persons. Among other things, it can help undermine an influential line of argument against the permissibility of elective amputation. After a detailed discussion and defence of the self-making view, I consider some objections to it. I conclude that none of these objections is persuasive and we should at the very least take seriously the idea that we are to some extent self-made. (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)

The aim of this article is to argue that ontological choices in scientific practice undermine common formulations of the value-free ideal in science. First, I argue that the truth values of scientific statements depend on ontological choices. For example, statements about entities such as species, race, memory, intelligence, depression, or obesity are true or false relative to the choice of a biological, psychological, or medical ontology. Second, I show that ontological choices often depend on non-epistemic values. On the basis of (...) these premises, I argue that it is often neither possible nor desirable to evaluate scientific statements independently of non-epistemic values. Finally, I suggest that considerations of ontological choices do not only challenge the value-free ideal but also help to specify positive roles of non-epistemic values in an often neglected area of scientific practice. (shrink)

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)

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)

Several different quantum gravity research programmes suggest, for various reasons, that spacetime is not part of the fundamental ontology of physics. This gives rise to the problem of empirical coherence: if fundamental physical entities do not occupy spacetime or instantiate spatiotemporal properties, how can fundamental theories concerning those entities be justified by observation of spatiotemporally located things like meters, pointers and dials? I frame the problem of empirical coherence in terms of entailment: how could a non-spatiotemporal fundamental theory entail spatiotemporal (...) evidence propositions? Solutions to this puzzle can be classified as realist or antirealist, depending on whether or not they posit a non-fundamental spacetime structure grounded in or caused by the fundamental structure. These approaches place different constraints on our everyday concepts of space and time. Applying lessons from the philosophy of mind, I argue that only realism is both conceptually plausible and suitable for addressing the problem at hand. I suggest a role functionalist version of realism, which is consistent with both grounding and causation, and according to which our everyday concepts reveal something of the true nature of emergent spacetime. (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)

The purpose of this essay is to shed some light on a certain type of sentence, which I call a borderline contradiction. A borderline contradiction is a sentence of the form F a ∧ ¬F a, for some vague predicate F and some borderline case a of F , or a sentence equivalent to such a sentence. For example, if Jackie is a borderline case of ‘rich’, then ‘Jackie is rich and Jackie isn’t rich’ is a borderline contradiction. Many theories (...) of vague language have entailments about borderline contradictions; correctly describing the behavior of borderline contradictions is one of the many tasks facing anyone offering a theory of vague language. Here, I first briefly review claims made by various theorists about these borderline contradictions, attempting to draw out some predictions about the behavior of ordinary speakers. Second, I present an experiment intended to gather relevant data about the behavior of ordinary speakers. Finally, I discuss the experimental results in light of several different theories of vagueness, to see what explanations are available. My conclusions are necessarily tentative; I do not attempt to use the present experiment to demonstrate that any single theory is incontrovertibly true. Rather, I try to sketch the auxiliary hypotheses that would need to be conjoined to several extant theories of vague language to predict the present result, and offer some considerations regarding the plausibility of these various hypotheses. In the end, I conclude that two of the theories I consider are better-positioned to account for the observed data than are the others. But the field of logically-informed research on people’s actual responses to vague predicates is young; surely as more data come in we will learn a great deal more about which (if any) of these theories best accounts for the behavior of ordinary speakers. (shrink)

One of Mill’s main arguments for free speech springs from taking disagreement as an epistemically valuable resource for fallible thinkers. Contemporary conciliationist treatments of disagreement spring from the same motivation, but end up seeing the epistemic implications of disagreement quite differently. Conciliationism also encounters complexities when transposed from the 2-person toy examples featured in the literature to the public disagreements among groups that give the issue much of its urgency. Group disagreements turn out to be in some ways more powerful (...) defeaters of rational belief, even when opposing groups are comparable in size and epistemic credentials. And conciliationism also shows us why determining the rational response to these disagreements can in certain cases (e.g. politics) be a particularly difficult and nuanced matter. (shrink)

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

Dispositional essentialists argue that physical properties have their causal roles essentially. This is typically taken to mean that physical properties are identical to dispositions. I argue that this is untenable, and that we must instead say that properties bestow dispositions. I explore what it is for a property to have such a role essentially. Dispositional essentialists argue for their view by citing certain epistemological and metaphysical implications, and I appeal to these implications to place desiderata on the concept of essence (...) involved. I argue that the traditional modal theory of essence meets these desiderata, but that the resulting theory wrongly implies that certain dispositions essential to mass are essential to charge, thereby offering a new argument against modal theories of essence. I argue that dispositional essentialism requires a primitive notion of essence, and develop a primitivist theory based on Kit Fine's views. I show that the primitivist theory has all the virtues of the modal alternative, and none of the vices. I develop a novel way of thinking about the relationship between properties, laws and dispositions, and argue that it has distinct advantages over standard dispositional essentialist formulations. (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)

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)

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)

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.

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)

Metaphysically speaking, just what is trying? There appear to be two options: to place it on the side of the mind or on the side of the world. Volitionists, who think that to try is to engage in a mental act, perhaps identical to willing and perhaps not, take the mind-side option. The second, or world-side option identifies trying to do something with one of the more basic actions by which one tries to do that thing. The trying is then (...) said to be identical with the physical action. -/- After carefully stating the second, world-side view, I produce two arguments against it. The first relies on the fact that if a=b and b=c, then a=c, sometimes put colloquially as: if something is identical to two things, then the two things must be identical to one another. In the case of trying, one might try to do something by performing a plurality of simultaneous actions, a sure sign that the relation between the trying and the plurality of actions by which one tries must be some relation other than identity. -/- The second argument discusses two cases, recorded in William James’ The Principles of Psychology, of a patient who tries but who performs no action whatever. This is sometimes called ‘naked trying’. A recent attempt at denying that there can be such cases of naked trying is examined and dismissed. (shrink)

First published in 1990, _Existentialism_ is widely regarded as a classic introductory survey of the topic, and has helped to renew interest in existentialist philosophy. The author places existentialism within the great traditions of philosophy, and argues that it deserves as much attention from analytic philosophers as it has always received on the continent.

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 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)

The chapter challenges hyperbolic claims about the centrality of appreciation of beauty to Buddhism. Within the texts, attitudes are more mixed, except for a form of 'inner beauty' - the beauty found in the expression of virtues or wisdom in forms of bodily comportment. Inner beauty is a stable presence throughout Buddhist history, practices, and art.

Analogien lassen sich aus unserem vernünftigen Nachdenken und Argumentieren kaum wegdenken. Ganz zurecht stellen sie eines der klassischen Themen der Argumentationstheorie dar. Doch wie genau sollte die argumentative Rolle von Analogien in Argumentrekonstruktionen dargestellt werden? Das ist die Leitfrage dieses Beitrags. Zunächst wird mit Michael Dummetts Schach-Analogie ein prominentes Beispiel dargestellt und eine genauere Charakterisierung des Analogiebegriffs vorgeschlagen. Danach wird die gängigste Rekonstruktionsform von Analogien diskutiert, das Analogieargument, und in einigen Punkten verfeinert. Vor diesem Hintergrund schlägt der Beitrag eine zweite, (...) alternative Rekonstruktionsform vor, in der zwei analoge Argumente an die Stelle eines einzelnen Analogiearguments treten. Nachdem diese beiden Rekonstruktionsformen an einem weiteren berühmten Beispiel vorgeführt wurden, an Peter Singers Teich-Analogie, wird diskutiert, wie sich diese beiden Varianten gegenseitig ergänzen und welche Stärken und Schwächen sie haben. Es zeigt sich, dass Analogien nicht nur in Form von Analogieargumenten einen zentralen Topos eines Einzelarguments darstellen. Darüber hinaus kann die Untersuchung analoger Argumente bereits selbst als argumentationstheoretische Topik verstanden werden. (shrink)

When it comes to caring about and helping those in need, our imaginations tend to be weak and our motivation tends to be parochial. This is a major moral problem in view of how much unmet need there is in the world and how much material capacity there is to address that need. With this problem in mind, the present paper will focus on genetic means to the enhancement of a moral capacity—a disposition to altruism—and of a cognitive capacity that (...) facilitates use of the moral capacity: the ability to grasp vividly the needs of individuals who are unknown and not present. I will address two questions, with more extensive attention to the first question. First, assuming we had excellent reason to believe that the enhancements were safe, effective, and available to all who desired them, would seeking these enhancements be inherently morally acceptable—that is, free of inherent wrongness? Second, would it be wise for a society to pursue these enhancements? I will defend an affirmative answer to the first question while leaving the second question open. (shrink)

I claim that, in the Topics, Aristotle advises dialectical questioners to intentionally argue fallaciously in order to escape from some dialectically awkward positions, and I work through the consequences of that claim. It will turn out that, although there are important exceptions, the techniques for finding arguments described in Topics I–VII are, by and large, locations that Aristotle thought of as appropriate for use in philosophical inquiry. The text that grounds this claim, however, raises a further problem: it highlights the (...) solitary nature of philosophical inquiry, which puts into question the philosophical relevance of Topics VIII. I find that the Topics provides inadequate grounds for thinking that Aristotle saw Topics VIII as describing standards or techniques of argument that were appropriate for philosophy, and so these texts cannot be used by contemporary commentators to shed light on Aristotle's philosophical practice. Finally, although Aristotle saw philosophy as a solitary activity, he th.. (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)

I suggest that the social justice issues raised by Internet regulation can be exposed and examined by using a methodology adapted from that described by John Rawls in 'A Theory of Justice'. Rawls' theory uses the hypothetical scenario of people deliberating about the justice of social institutions from the 'original position' as a method of removing bias in decision-making about justice. The original position imposes a 'veil of ignorance' that hides the particular circumstances of individuals from them so that they (...) will not be influenced by self-interest. I adapt Rawls' methodology by introducing an abstract description of information technology to those deliberating about justice from within the original position. This abstract description focuses on computing devices that users can use to access information and information networks that information devices use to communicate. The abstractness of this description prevents the particular characteristics of the Internet and the computing devices in use from influencing the decisions about the just use and regulation of information technology and networks. From this abstract position, the principles of justice that the participants accept for the rest of society will also apply to the computing devices people use to communicate, and to Internet regulation. (shrink)

According to the most popular theories of intentionality, a family of theories we will refer to as “functional intentionality,” a machine can have genuine intentional states so long as it has functionally characterizable mental states that are causally hooked up to the world in the right way. This paper considers a detailed description of a robot that seems to meet the conditions of functional intentionality, but which falls victim to what I call “the composition problem.” One obvious way to escape (...) the problem (arguably, the only way) is if the robot can be shown to be a moral patient – to deserve a particular moral status. If so, it isn’t clear how functional intentionality could remain plausible (something like “phenomenal intentionality” would be required). Finally, while it would have seemed that a reasonable strategy for establishing the moral status of intelligent machines would be to demonstrate that the machine possessed genuine intentionality, the composition argument suggests that the order of precedence is reversed: The machine must first be shown to possess a particular moral status before it is a candidate for having genuine intentionality. (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)

There is some consensus among orthodox category theorists that the concept of adjoint functors is the most important concept contributed to mathematics by category theory. We give a heterodox treatment of adjoints using heteromorphisms that parses an adjunction into two separate parts. Then these separate parts can be recombined in a new way to define a cognate concept, the brain functor, to abstractly model the functions of perception and action of a brain. The treatment uses relatively simple category theory and (...) is focused on the interpretation and application of the mathematical concepts. (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)

The logical basis for information theory is the newly developed logic of partitions that is dual to the usual Boolean logic of subsets. The key concept is a "distinction" of a partition, an ordered pair of elements in distinct blocks of the partition. The logical concept of entropy based on partition logic is the normalized counting measure of the set of distinctions of a partition on a finite set--just as the usual logical notion of probability based on the Boolean logic (...) of subsets is the normalized counting measure of the subsets (events). Thus logical entropy is a measure on the set of ordered pairs, and all the compound notions of entropy (join entropy, conditional entropy, and mutual information) arise in the usual way from the measure (e.g., the inclusion-exclusion principle)--just like the corresponding notions of probability. The usual Shannon entropy of a partition is developed by replacing the normalized count of distinctions (dits) by the average number of binary partitions (bits) necessary to make all the distinctions of the partition. (shrink)

A theory of property needs to give an account of the whole life-cycle of a property right: how it is initiated, transferred, and terminated. Economics has focused on the transfers in the market and has almost completely neglected the question of the initiation and termination of property in normal production and consumption (not in some original state or in the transition from common to private property). The institutional mechanism for the normal initiation and termination of property is an invisible-hand function (...) of the market, the market mechanism of appropriation. Does this mechanism satisfy an appropriate normative principle? The standard normative juridical principle is to assign or impute legal responsibility according to de facto responsibility. It is given a historical tag of being "Lockean" but the basis is contemporary jurisprudence, not historical exegesis. Then the fundamental theorem of the property mechanism is proven which shows that if "Hume's conditions" (no transfers without consent and all contracts fulfilled) are satisfied, then the market automatically satisfies the Lockean responsibility principle, i.e., "Hume implies Locke." As a major application, the results in their contrapositive form, "Not Locke implies Not Hume," are applied to a market economy based on the employment contract. It is shown the production based on the employment contract violates the Lockean principle (all who work in an employment enterprise are de facto responsible for the positive and negative results) and thus Hume's conditions must also be violated in the marketplace (de facto responsible human action cannot be transferred from one person to another—as is readily recognized when and employer and employee together commit a crime). (shrink)

How should we understand knowledge-how – knowledge how to do something? And how is it related to knowledge-that – knowledge that something is the case? In this paper, I will discuss a very important and influential aspect of this question, namely the claim – dubbed ‘Intellectualism’ by Gilbert Ryle – that knowledge-how can be reduced to knowledge-that. Recently, Jason Stanley and Timothy Williamson have tried to establish Intellectualism with the aid of linguistic considerations. This project – Linguistic Intellectualism – will (...) be criticized on three levels. First, I will reconstruct and object to Stanley and Williamson’s positive argument in favour of Intellectualism. Second, I will assess their view of the relationship between knowledge-how and practical ability and argue that their stance is not well-motivated. Third, I will discuss their criticism of Ryle’s objection against Intellectualism. After distinguishing between different versions of Ryle’s argument, I will show that its strongest version is both immune to the objection by Stanley and Williamson and a decisive argument against their own theory. Given that Intellectualism fails for these three reasons, I finally draw on a broader reading of Ryle in order to develop the beginnings of a positive account of knowledge-how and its relationship to knowledge-that. (shrink)

An experiment was performed to test the hypothesis that people sometimes take physical actions to make themselves more effective problem solvers. The task was to generate all possible words that could be formed from seven Scrabble letters. In one condition, participants could use their hands to manipulate the letters, and in another condition, they could not. Results show that more words were generated with physical manipulation than without. However, an interaction was obtained between the physical manipulation conditions and the specific (...) letter sets chosen, indicating that physical manipulation helps more for generating words in some circumstances than in others. Overall, our findings can be explained in terms of an interactive search process in which external, physical activity effectively complements internal, cognitive activity. Within this framework, the interaction can be explained in terms of the relative difficulty of generating words from the letters given in the different sets. (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)

Part of a Festschrift for Fred Miller, this essay reconsiders Miller's interpretation of Aristotle in terms of natural rights. After defending Miller against his numerous critics, I draw a somewhat different lesson from his interpretation than he himself does: Miller helps us to see that an Aristotelian theory of justice can do all the work that we would reasonably want a theory of rights to do while avoiding significant problems that the idiom and rhetoric of rights tend to generate.

I distinguish two theses regarding technological successors to current humans (posthumans): an anthropologically bounded posthumanism (ABP) and an anthropologically unbounded posthumanism (AUP). ABP proposes transcendental conditions on agency that can be held to constrain the scope for “weirdness” in the space of possible posthumans a priori. AUP, by contrast, leaves the nature of posthuman agency to be settled empirically (or technologically). Given AUP there are no “future proof” constraints on the strangeness of posthuman agents. -/- In Posthuman Life I defended (...) AUP via a critique of Donald Davidson’s work on intentionality and a “naturalistic deconstruction” of transcendental phenomenology (See also Roden 2013). In this paper I extend this critique to Robert Brandom’s account of the relationship between normativity and intentionality in Making It Explicit (MIE) and in other writings. -/- Brandom’s account understands intentionality in terms of the capacity to undertake and ascribe inferential normative commitments. It makes “first class agency” dependent on the ability to participate in discursive social practices. It implies that posthumans – insofar as they qualify as agents at all – would need to be social and discursive beings. -/- The problem with this approach, I will argue, is that it replicates a problem that Brandom discerns in Dennett’s intentional stance approach. It tells us nothing about the conditions under which a being qualifies as a potential interpreter and thus little about the conditions for meaning, understanding or agency. -/- I support this diagnosis by showing that Brandom cannot explain how a non-sapient community could bootstrap itself into sapience by setting up a basic deontic scorekeeping system without appealing (along with Davidson and Dennett) to the ways in which an idealized observer would interpret their activity. -/- This strongly suggests that interpretationist and pragmatist accounts cannot explain the semantic or the intentional without regressing to assumptions about ideal interpreters or background practices whose scope they are incapable of delimiting. It follows that Anthropologically Unbounded Posthumanism is not seriously challenged by the claim that agency and meaning are “constituted” by social practices. -/- AUP implies that we can infer no claims about the denizens of “Posthuman Possibility Space” a priori, by reflecting on the pragmatic transcendental conditions for semantic content. We thus have no reason to suppose that posthuman agents would have to be subjects of discourse or, indeed, members of communities. The scope for posthuman weirdness can be determined by recourse to engineering alone. (shrink)

There is a fault line running through classical liberalism as to whether or not democratic self-governance is a necessary part of a liberal social order. The democratic and non-democratic strains of classical liberalism are both present today—particularly in America. Many contemporary libertarians and neo-Austrian economists represent the non-democratic strain in their promotion of non-democratic sovereign city-states (startup cities or charter cities). We will take the late James M. Buchanan as a representative of the democratic strain of classical liberalism. Since the (...) fundamental norm of classical liberalism is consent, we must start with the intellectual history of the voluntary slavery contract, the coverture marriage contract, and the voluntary non-democratic constitution (or pactum subjectionis). Next we recover the theory of inalienable rights that descends from the Reformation doctrine of the inalienability of conscience through the Enlightenment (e.g., Spinoza and Hutcheson) in the abolitionist and democratic movements. Consent-based governments divide into those based on the subjects' alienation of power to a sovereign and those based on the citizens' delegation of power to representatives. Inalienable rights theory rules out that alienation in favor of delegation, so the citizens remain the ultimate principals and the form of government is democratic. Thus the argument concludes in agreement with Buchanan that the classical liberal endorsement of sovereign individuals acting in the marketplace generalizes to the joint action of individuals as the principals in their own organizations. (shrink)

Volume 20, Issue 3, March 2020, Page 71-73.

Corroborative evidence can have a dual function in argument whereby not only does it have a primary function of providing direct evidence supporting the main conclusion, but it also has a secondary, bolstering function which increases the probative value of some other piece of evidence in the argument. It has been argued (Redmayne, 2000) that this double function gives rise to the fallacy of double counting whereby the probative weight of evidence is overvalued by counting it twice. Walton has proposed (...) several models of corroborative evidence, each of which seems to accept the fallaciousness of double counting thereby seeming to deny the dual function of corroborative evidence. Against this view, I argue that the bolstering effect is legitimate, and can be explained by recourse to inference to the best explanation. (shrink)