In 1988, J. Ivlev proposed some (non-normal) modal systems which are semantically characterized by four-valued non-deterministic matrices in the sense of A. Avron and I. Lev. Swap structures are multialgebras (a.k.a. hyperalgebras) of a special kind, which were introduced in 2016 by W. Carnielli and M. Coniglio in order to give a non-deterministic semantical account for several paraconsistent logics known as logics of formal inconsistency, which are not algebraizable by means of the standard techniques. Each swap structure (...) induces naturally a non-deterministic matrix. The aim of this paper is to obtain a swap structures semantics for some Ivlev-like modal systems proposed in 2015 by M. Coniglio, L. Fariñas del Cerro and N. Peron. Completeness results will be stated by means of the notion of Lindenbaum–Tarski swap structures, which constitute a natural generalization to multialgebras of the concept of Lindenbaum–Tarski algebras. (shrink)

The logics of formal inconsistency (LFIs, for short) are paraconsistent logics (that is, logics containing contradictory but non-trivial theories) having a consistency connective which allows to recover the ex falso quodlibet principle in a controlled way. The aim of this paper is considering a novel semantical approach to first-order LFIs based on Tarskian structures defined over swap structures, a special class of multialgebras. The proposed semantical framework generalizes previous aproaches to quantified LFIs presented in the literature. The (...) case of QmbC, the simpler quantified LFI expanding classical logic, will be analyzed in detail. An axiomatic extension of QmbC called QLFI1o is also studied, which is equivalent to the quantified version of da Costa and D'Ottaviano 3-valued logic J3. The semantical structures for this logic turn out to be Tarkian structures based on twist structures. The expansion of QmbC and QLFI1o with a standard equality predicate is also considered. (shrink)

This paper discusses and evaluates a recent argument for the conclusion that an attractive variety of Russellian monism ought to be regarded as a form of physicalism. According to this line of thought, if the Russellian’s “inscrutable” properties are held to ground not only experience, but also the physical structure of the world—and in this sense are not “experience-specific”—they thereby have an unproblematic place in physicalist metaphysics. I argue, in contrast, that there can be a sense in which the Russellian’s (...) inscrutables are experience-specific in a way that a physicalist probably ought to find objectionable, even if they play some role other than grounding experience. This will be the case, I argue, if certain worlds are taken to be possible, as they sometimes have: worlds of “bare structure” and worlds with what might be called “swapped inscrutables”. In this way, I claim that accepting certain possibilities has consequences for how one should understand the nature of the Russellian’s inscrutables and the place they have in physicalist metaphysics. (shrink)

Multialgebras have been much studied in mathematics and in computer science. In 2016 Carnielli and Coniglio introduced a class of multialgebras called swap structures, as a semantic framework for dealing with several Logics of Formal Inconsistency that cannot be semantically characterized by a single finite matrix. In particular, these LFIs are not algebraizable by the standard tools of abstract algebraic logic. In this paper, the first steps towards a theory of non-deterministic algebraization of logics by swap (...) class='Hi'>structures are given. Specifically, a formal study of swap structures for LFIs is developed, by adapting concepts of universal algebra to multialgebras in a suitable way. A decomposition theorem similar to Birkhoff’s representation theorem is obtained for each class of swap structures. Moreover, when applied to the 3-valued algebraizable logics J3 and Ciore, their classes of algebraic models are retrieved, and the swap structures semantics become twist structures semantics. This fact, together with the existence of a functor from the category of Boolean algebras to the category of swap structures for each LFI, suggests that swap structures can be seen as non-deterministic twist structures. This opens new avenues for dealing with non-algebraizable logics by the more general methodology of multialgebraic semantics. (shrink)

There are two foundational, but not fully developed, ideas in paraconsistency, namely, the duality between paraconsistent and intuitionistic paradigms, and the introduction of logical operators that express meta-logical notions in the object language. The aim of this paper is to show how these two ideas can be adequately accomplished by the Logics of Formal Inconsistency (LFIs) and by the Logics of Formal Undeterminedness (LFUs). LFIs recover the validity of the principle of explosion in a paraconsistent scenario, while LFUs recover the (...) validity of the principle of excluded middle in a paracomplete scenario. We introduce definitions of duality between inference rules and connectives that allow comparing rules and connectives that belong to different logics. Two formal systems are studied, the logics mbC and mbD, that display the duality between paraconsistency and paracompleteness as a duality between inference rules added to a common core– in the case studied here, this common core is classical positive propositional logic (CPL + ). The logics mbC and mbD are equipped with recovery operators that restore classical logic for, respectively, consistent and determined propositions. These two logics are then combined obtaining a pair of logics of formal inconsistency and undeterminedness (LFIUs), namely, mbCD and mbCDE. The logic mbCDE exhibits some nice duality properties. Besides, it is simultaneously paraconsistent and paracomplete, and able to recover the principles of excluded middle and explosion at once. The last sections offer an algebraic account for such logics by adapting the swap-structures semantics framework of the LFIs the LFUs. This semantics highlights some subtle aspects of these logics, and allows us to prove decidability by means of finite non-deterministic matrices. (shrink)

In abstract algebraic logic, many systems, such as those paraconsistent logics taking inspiration from da Costa's hierarchy, are not algebraizable by even the broadest standard methodologies, as that of Blok and Pigozzi. However, these logics can be semantically characterized by means of non-deterministic algebraic structures such as Nmatrices, RNmatrices and swap structures. These structures are based on multialgebras, which generalize algebras by allowing the result of an operation to assume a non-empty set of values. This leads (...) to an interest in exploring the foundations of multialgebras applied to the study of logic systems. -/- It is well known from universal algebra that, for every signature Sigma, there exist algebras over Sigma which are absolutely free, meaning that they do not satisfy any identities or, alternatively, satisfy the universal mapping property for the class of Sigma-algebras. Furthermore, once we fix a cardinality of the generating set, they are, up to isomorphisms, unique, and equal to algebras of terms (or propositional formulas, in the context of logic). Equivalently, the forgetful functor, from the category of Sigma-algebras to Set, has a left adjoint. This result does not extend to multialgebras. Not only multialgebras satisfying the universal mapping property do not exist, but the forgetful functor U, from the category of Sigma-multialgebras to Set, does not have a left adjoint. -/- In this paper we generalize, in a natural way, algebras of terms to multialgebras of terms, whose family of submultialgebras enjoys many properties of the former. One example is that, to every pair consisting of a function, from a submultialgebra of a multialgebra of terms to another multialgebra, and a collection of choices (which selects how a homomorphism approaches indeterminacies), there corresponds a unique homomorphism, what resembles the universal mapping property. Another example is that the multialgebras of terms are generated by a set that may be viewed as a strong basis, which we call the ground of the multialgebra. Submultialgebras of multialgebras of terms are what we call weakly free multialgebras. Finally, with these definitions at hand, we offer a simple proof that multialgebras with the universal mapping property for the class of all multialgebras do not exist and that U does not have a left adjoint. (shrink)

Triviality arguments against the computational theory of mind claim that computational implementation is trivial and thus does not serve as an adequate metaphysical basis for mental states. It is common to take computational implementation to consist in a mapping from physical states to abstract computational states. In this paper, I propose a novel constraint on the kinds of physical states that can implement computational states, which helps to specify what it is for two physical states to non-trivially implement the same (...) computational state. (shrink)

Sydney Shoemaker argues that a certain class of self-ascriptions is immune to error through misidentification relative to the first-person pronouns. In their “Self-Consciousness and Immunity,” Timothy Lane and Caleb Liang question Shoemaker’s view. Lang and Liang present a clinical case and an experiment and argue that they are counterexamples to Shoemaker’s view. This paper is a response to Lane and Liang’s challenge. I identify the desiderata that a counterexample to Shoemaker’s view must meet and show that somatoparaphrenia and the Body (...) Swap Illusion fail to meet those desiderata. Thus, despite being puzzling phenomena, somatoparaphrenia and the Body Swap Illusion are not counterexamples to Shoemaker’s view. (shrink)

In this paper, I show that Polleit and Mariano (2011) are right in concluding that Credit Default Swaps (CDS) are per se unobjectionable from Rothbard’s libertarian perspective on property rights and contract theory, but that they fail to derive this conclusion properly. I therefore outline the proper explanation. In addition, though Polleit and Mariano are correct in pointing out that speculation with CDS can conceivably hurt the borrowers’ interests, they fail to grasp that this can be the case only in (...) some peculiar circumstances that I identify. In other words, they miss the bigger picture, the one outside special circumstances, in which CDS trading has the opposite effect. That is, CDS facilitate debt accumulation, including government debt accumulation. Finally, I point out how this can precipitate the collapse of fiat money regimes. An incidental goal of the analysis is to provide a better account than Polleit and Mariano of recent government interventions in and around CDS markets. (shrink)

What does it look like when a group of scientists set out to re-envision an entire field of biology in symbolic and formal terms? I analyze the founding and articulation of Numerical Taxonomy between 1950 and 1970, the period when it set out a radical new approach to classification and founded a tradition of mathematics in systematic biology. I argue that introducing mathematics in a comprehensive way also requires re-organizing the daily work of scientists in the field. Numerical taxonomists sought (...) to establish a mathematical method for classification that was universal to every type of organism, and I argue this intrinsically implicated them in a qualitative re-organization of the work of all systematists. I also discuss how Numerical Taxonomy’s re-organization of practice became entrenched across systematic biology even as opposing schools produced their own competing mathematical methods. In this way, the structure of the work process became more fundamental than the methodological theories that motivated it. (shrink)

Epistemic defeat is standardly understood in either evidentialist or responsibilist terms. The seminal treatment of defeat is an evidentialist one, due to John Pollock, who famously distinguishes between undercutting and rebutting defeaters. More recently, an orthogonal distinction due to Jennifer Lackey has become widely endorsed, between so-called doxastic (or psychological) and normative defeaters. We think that neither doxastic nor normative defeaters, as Lackey understands them, exist. Both of Lackey’s categories of defeat derive from implausible assumptions about epistemic responsibility. Although Pollock’s (...) evidentialist view is superior, the evidentialism per se can be purged from it, leaving a general structure of defeat that can be incorporated in a reliabilist theory that is neither evidentialist nor responsibilist in any way. (shrink)

The given is the state of a mind in its primary engagement with the world. A satisfactory epistemology—one, it turns out, that is foundationalist and includes a naïve realist view of perception—requires a certain account of the given. Moreover, knowledge based on the given requires both a particular view of the world itself and a heterodox account of judgment. These admittedly controversial claims are supported by basic ontological considerations. I begin, then, with two contradictory views of the world per se (...) and the structure one experiences. I draw out the consequences of these two views for what intentionality is. The two views yield incompatible accounts of the given. The definitive spontaneity of the one account, and passivity of the other, can be understood in terms of the structure (or lack thereof) in the given. In defense of the claim that a structured given is not an apt epistemic basis, I examine an attempt to found an epistemology on such an account in light of the so-called myth of the given. I maintain that the given, if it is to provide some justification for taking the world to be a particular way, must be unstructured. To support this, I first discuss a significant problem with traditional foundationalism. I then argue that a satisfactory (foundationalist) epistemology requires the rejection of the orthodox propositional view of judgment in favor of a non-propositional, reistic view. (shrink)

Structural requirements of rationality prohibit various things, like having inconsistent combinations of attitudes, having means-end incoherent combinations of attitudes, and so on. But what is the distinctive feature of structural requirements of rationality? And do we fall under an obligation to be structurally rational? These issues have been at the heart of significant debates over the past fifteen years. Some philosophers have recently argued that we can unify the structural requirements of rationality by analyzing what is constitutive of our attitudes (...) (Lee, 2020; Worsnip, 2018a). It has also been suggested that, in the course of good first-personal deliberation, agents should treat structurally irrational combinations of attitudes as off-limits (Worsnip, 2021). In this paper, I raise a worry for these two theses concerning structural rationality. Roughly, I argue that some imperfect epistemic agents (like us) can be disposed to have structurally irrational combinations of attitudes. Also, when these imperfect agents deliberate, they should not treat structurally irrational combinations of attitudes as off-limits. Given our imperfections, being structurally irrational can very well be the best option we have. More generally, these observations reveal that structural rationality should not always be theorized independently from more “substantive” norms, like responsiveness to reasons or expected value optimization. (shrink)

The normativity of so-called “coherence” or “structural” requirements of rationality has been hotly debated in recent years. However, relatively little has been said about the nature of structural rationality, or what makes a set of attitudes structurally irrational, if structural rationality is not ultimately a matter of responding correctly to reasons. This paper develops a novel account of incoherence (or structural irrationality), critically examining Alex Worsnip’s recent account. It first argues that Worsnip’s account both over-generates and under-generates incoherent patterns of (...) attitudes, and then proposes an alternative that both avoids these problems and captures a crucial insight behind Worsnip’s account. According to this account, a set of attitudes is incoherent just in case having all of the attitudes in that set is incompatible with reacting to a question in a way that one is, in virtue of having the attitudes, committed to. (shrink)

The bridges of Königsberg case has been widely cited in recent philosophical discussions on scientific explanation as a potential example of a structural explanation of a physical phenomenon. However, when discussing this case, different authors have focused on two different versions, depending on what they take the explanandum to be. In one version, the explanandum is the _failure_ of a given individual in performing an Eulerian walk over the bridge system. In the other version, the explanandum is the _impossibility_ of (...) performing an Eulerian walk over the bridges. The goal of this paper is to show that only the latter version amounts to a real case of a structural explanation. I will also suggest how to fix the first version, and show how my remarks apply to other purported cases of structural explanations. (shrink)

Economists can value things for cost-benefit analysis using either a structured or an unstructured approach. The first imposes some theoretical structure on the valuation; the second does not. This paper explains the difference between the approaches and examines the relative merits of each. Cost-benefit analysis may be aimed at finding what would be the best action, or alternatively at finding which action should be done in a democracy. The paper explains the difference, and argues that the appropriate aim is the (...) first. Given that, it comes down in favour of the structured approach to valuation. As an example, it discusses different approaches to valuing life in economics. (shrink)

This paper argues against definitions of depiction in terms of the syntactic and semantic properties of symbol systems. In particular, it is argued that John Kulvicki's definition of depictive symbol systems in terms of relative repleteness, semantic richness, syntactic sensitivity and transparency is susceptible to similar counterexamples as Nelson Goodman's in terms of syntactic density, semantic density and relative repleteness. The general moral drawn is that defining depiction requires attention not merely to descriptive questions about syntax and semantics, but also (...) to foundational questions about what makes it the case that depictions have the syntactic and semantic properties they do. (shrink)

This paper develops a theory of analog representation. We first argue that the mark of the analog is to be found in the nature of a representational system’s interpretation function, rather than in its vehicles or contents alone. We then develop the rulebound structure theory of analog representation, according to which analog systems are those that use interpretive rules to map syntactic structural features onto semantic structural features. The theory involves three degree-theoretic measures that capture three independent ways in which (...) a system can be more or less analog. We explain how our theory improves upon prior accounts of analog representation, provides plausible diagnoses for novel challenge cases, extends to hybrid systems that are partially analog and partially symbolic, and accounts for some of the advantages and disadvantages of representing analogically versus symbolically. (shrink)

What is structural rationality? Specifically, what is the distinctive feature of structural requirements of rationality? Some philosophers have argued, roughly, that the distinctive feature of structural requirements is coherence. But what does coherence mean, exactly? Or, at least, what do structuralists about rationality have in mind when they claim that structural rationality is coherence? This issue matters for making progress in various active debates concerning rationality. In this paper, I analyze three strategies for figuring out what coherence means in the (...) debates on structural rationality. I argue that these strategies face problems. (shrink)

What can we do—and what should we do—to fight against bias? This final chapter introduces empirically-tested interventions for combating implicit (and explicit) bias and promoting a fairer world, from small daily-life debiasing tricks to larger structural interventions. Along the way, this chapter raises a range of moral, political, and strategic questions about these interventions. This chapter further stresses the importance of admitting that we don’t have all the answers. We should be humble about how much we still don’t know and (...) dedicate efforts to gathering as much knowledge as possible. Even so, we know enough now to start making a difference, and this chapter ultimately aims to chip away at the gap between our abstract commitments to treat people fairly and our lived habits and experiences, which continue to be shaped by implicit and explicit prejudices and stereotypes about race, gender, and other social categories. (shrink)

This paper introduces and defends a new principle for when a structural equation model is apt for analyzing actual causation. Any such analysis in terms of these models has two components: a recipe for reading claims of actual causation off an apt model, and an articulation of what makes a model apt. The primary focus in the literature has been on the first component. But the problem of structural isomorphs has made the second especially pressing (Hall 2007; Hitchcock 2007a). Those (...) with realist sympathies have reason to resist the standard response to this problem, which introduces a normative parameter into the metaphysics (Hall 2007; Halpern and Hitchcock 2010, 2015; Halpern 2016a; Menzies 2017; Gallow 2021). However, the only alternative solution in the literature leaves central questions unanswered (Blanchard and Schaffer 2017). I propose an independently motivated aptness requirement, Evident Mediation, that provides the missing details and resolves the structural isomorph problem without need for a normative parameter. (shrink)

There is good reason to believe that scientific realism requires a commitment to the objective modal structure of the physical world. Causality, equilibrium, laws of nature, and probability all feature prominently in scientific theory and explanation, and each one is a modal notion. If we are committed to the content of our best scientific theories, we must accept the modal nature of the physical world. But what does the scientific realist’s commitment to physical modality require? We consider whether scientific realism (...) is compatible with Humeanism about the laws of nature, and we conclude that it is not. We specifically identify three major problems for the best-systems account of lawhood: its central concept of strength cannot be formulated non-circularly, it cannot offer a satisfactory account of the laws of the special sciences, and it can offer no explanation of the success of inductive inference. In addition, Humeanism fails to be naturalistically motivated. For these reasons, we conclude that the scientific realist must embrace natural necessity. (shrink)

Structural representations are increasingly popular in philosophy of cognitive science. A key virtue they seemingly boast is that of meeting Ramsey's job description challenge. For this reason, structural representations appear tailored to play a clear representational role within cognitive architectures. Here, however, I claim that structural representations do not meet the job description challenge. This is because even our most demanding account of their functional profile is satisfied by at least some receptors, which paradigmatically fail the job description challenge. Hence, (...) the functional profile typically associated with structural representations does not identify representational posits. After a brief introduction, I present, in the second section of the paper, the job description challenge. I clarify why receptors fail to meet it and highlight why, as a result, they should not be considered representations. In the third section I introduce what I take to be the most demanding account of structural representations at our disposal, namely Gładziejewski's account. Provided the necessary background, I turn from exposition to criticism. In the first half of the fourth section, I equate the functional profile of structural representations and receptors. To do so, I show that some receptors boast, as a matter of fact, all the functional features associated with structural representations. Since receptors function merely as causal mediators, I conclude structural representations are mere causal mediators too. In the second half of the fourth section I make this conclusion intuitive with a toy example. I then conclude the paper, anticipating some objections my argument invites. (shrink)

A dynamical system is called chaotic if small changes to its initial conditions can create large changes in its behavior. By analogy, we call a dynamical system structurally chaotic if small changes to the equations describing the evolution of the system produce large changes in its behavior. Although there are many definitions of “chaos,” there are few mathematically precise candidate definitions of “structural chaos.” I propose a definition, and I explain two new theorems that show that a set of models (...) is structurally chaotic if it contains a chaotic function. I conclude by discussing the relationship between structural chaos and structural stability. (shrink)

In contrast to individualistic explanations of social injustice that appeal to implicit attitudes, structural explanations are unintuitive: they appeal to entities that lack clear ontological status, and the explanatory mechanism is similarly unclear. This makes structural explanations unappealing. The present work proposes a structural explanation of one type of injustice that happens in conversations, discursive injustice. This proposal meets two goals. First, it satisfactorily accounts for the specific features of this particular kind of injustice; and second, it articulates a structural (...) explanation that overcomes their unattractiveness. The main idea is that discursive injustice is not the result of biased interlocutors, but of problematic discursive norms. (shrink)

Why does social injustice exist? What role, if any, do implicit biases play in the perpetuation of social inequalities? Individualistic approaches to these questions explain social injustice as the result of individuals’ preferences, beliefs, and choices. For example, they explain racial injustice as the result of individuals acting on racial stereotypes and prejudices. In contrast, structural approaches explain social injustice in terms of beyond-the-individual features, including laws, institutions, city layouts, and social norms. Often these two approaches are seen as competitors. (...) Framing them as competitors suggests that only one approach can win and that the loser offers worse explanations of injustice. In this essay, we explore each approach and compare them. Using implicit bias as an example, we argue that the relationship between individualistic and structural approaches is more complicated than it may first seem. Moreover, we contend that each approach has its place in analyses of injustice and raise the possibility that they can work together—synergistically—to produce deeper explanations of social injustice. If so, the approaches may be complementary, rather than competing. (shrink)

This dissertation examines the theory of perceptual cognition laid out by the 7th century Buddhist scholar, Dharmakīrti, in his magnum opus, the Pramāṇavārttika. Like most theories of perception, both ancient and modern, the sensory cognition of ordinary objects is a topic of primary concern. Unlike other theorists, however, Dharmakīrti advances a technical definition of “perception” as a cognition which is both nonconceptual and non-erroneous. Dharmakīrti’s definition of perception is thereby deliberately inclusive of three additional types of “perceptual” cognition, in addition (...) to veridical sensory awareness: the nonconceptual mental apprehension of an immediately-preceding cognition (“mental perception”), the vivid appearance of soteriologically efficacious objects of contemplative practice (“yogic perception”), and the sheer unmediated presence of the contents of cognition—whatever these might be—to the cognizing mind (“reflexive awareness”). Through the logical examination of what it means to be aware of an object, Dharmakīrti demonstrates that the awareness of an object is just the awareness of a phenomenal form or cognitive image produced by that object. Pursuing this analysis further, however, Dharmakīrti argues that the very notion of an object of cognition that exists “externally” or outside the mind is incoherent. Additionally, Dharmakīrti maintains that the phenomenological structure of subject and object—that is, the “first-personal” sense of one’s own cognitions as pertaining to oneself (“for-me-ness”), together with the inseparably concomitant sense that the objects of cognition exist “out there” in an extramental world—is strictly a form of cognitive error. Therefore, because ordinary sensory cognition is inherently structured by this subject-object duality, ordinary sensory cognition must in the final analysis be understood as erroneous. According to Dharmakīrti, in other words, ultimately only the nondual “luminosity” of reflexive awareness is genuinely perceptual, because only reflexive awareness is undistorted by nature. In this way, Dharmakīrti’s epistemology provides a theoretical foundation for the advanced nondual contemplative practices of Indian and Tibetan Buddhism, particularly Mahāmudrā and rDzogs chen. (shrink)

This paper presents the main topics, arguments, and positions in the philosophy of AI at present (excluding ethics). Apart from the basic concepts of intelligence and computation, the main topics of ar-tificial cognition are perception, action, meaning, rational choice, free will, consciousness, and normativity. Through a better understanding of these topics, the philosophy of AI contributes to our understand-ing of the nature, prospects, and value of AI. Furthermore, these topics can be understood more deeply through the discussion of AI; so (...) we suggest that “AI Philosophy” provides a new method for philosophy. (shrink)

It is often argued that our obligations to address structural injustice are collective in character. But what exactly does it mean for ‘ordinary citizens’ to have collective obligations visà- vis large-scale injustice? In this paper, I propose to pay closer attention to the different kinds of collective action needed in addressing some of these structural injustices and the extent to which these are available to large, unorganised groups of people. I argue that large, dispersed and unorganised groups of people are (...) often in a position to perform distributive collective actions. As such, ordinary citizens can have massively shared obligations to address structural injustice through distributive action, but, ultimately, such obligations are ‘collective’ only in a fairly weak sense. (shrink)

An exploration of ground’s connections to structure (joint-carving, naturalness). The notion of structure is often invoked in connection to ground, because grounding is understood to impose constraints on the ‘structure of reality’. There is another, technical sense of structure, sometimes captured with reference to the notion of ‘joint-carving’. Both of these senses of structure as well as their potential connections are discussed.

An increasing amount of twenty-first century metaphysics is couched in explicitly hyperintensional terms. A prerequisite of hyperintensional metaphysics is that reality itself be hyperintensional: at the metaphysical level, propositions, properties, operators, and other elements of the type hierarchy, must be more fine-grained than functions from possible worlds to extensions. In this paper I develop, in the setting of type theory, a general framework for reasoning about the granularity of propositions and properties. The theory takes as primitive the notion of a (...) substitution on a proposition (property, etc.) and, among other things, uses this idea to elucidate a number of theoretically important distinctions. A class of structures are identified which can be used to model a wide range of positions about the granularity of reality; certain of these structures are seen to receive a natural treatment in the category of M-sets. (shrink)

In this paper, I describe some of what I take to be the more interesting features of friendship, then explore the extent to which other virtues can be reconstructed as sharing those features. I use trustworthiness as my example throughout, but I think that other virtues such as generosity & gratitude, pride & respect, and the producer’s & consumer’s sense of humor can also be analyzed with this model. The aim of the paper is not to demonstrate that all moral (...) virtues are exactly like friendship in all important respects, but rather to articulate a fruitful model in which to explore the virtues. Section 2 explores the relational nature of friendship, drawing on Aristotle’s discussion of friendship in the Nicomachean Ethics. Section 3 catalogues four motivations for taking seriously the friendship model of virtue. Section 4 applies the friendship model in depth to the virtue of trustworthiness. (shrink)

The topics approached in the 52 papers included in this book are: neutrosophic sets; neutrosophic logic; generalized neutrosophic set; neutrosophic rough set; multigranulation neutrosophic rough set (MNRS); neutrosophic cubic sets; triangular fuzzy neutrosophic sets (TFNSs); probabilistic single-valued (interval) neutrosophic hesitant fuzzy set; neutro-homomorphism; neutrosophic computation; quantum computation; neutrosophic association rule; data mining; big data; oracle Turing machines; recursive enumerability; oracle computation; interval number; dependent degree; possibility degree; power aggregation operators; multi-criteria group decision-making (MCGDM); expert set; soft sets; LA-semihypergroups; single valued (...) trapezoidal neutrosophic number; inclusion relation; Q-linguistic neutrosophic variable set; vector similarity measure; fundamental neutro-homomorphism theorem; neutro-isomorphism theorem; quasi neutrosophic triplet loop; quasi neutrosophic triplet group; BE-algebra; cloud model; Maclaurin symmetric mean; pseudo-BCI algebra; hesitant fuzzy set; photovoltaic plan; decision-making trial and evaluation laboratory (DEMATEL); Choquet integral; fuzzy measure; clustering algorithm; and many more. (shrink)

An ongoing philosophical discussion concerns how various types of mental states fall within broad representational genera—for example, whether perceptual states are “iconic” or “sentential,” “analog” or “digital,” and so on. Here, I examine the grounds for making much more specific claims about how mental states are structured from constituent parts. For example, the state I am in when I perceive the shape of a mountain ridge may have as constituent parts my representations of the shapes of each peak and saddle (...) of the ridge. More specific structural claims of this sort are a guide to how mental states fall within broader representational kinds. Moreover, these claims have significant implications of their own about semantic, functional, and epistemic features of our mental lives. But what are the conditions on a mental state's having one type of constituent structure rather than another? Drawing on explanatory strategies in vision science, I argue that, other things being equal, the constituent structure of a mental state determines what I call its distributional properties—namely, how mental states of that type can, cannot, or must co‐occur with other mental states in a given system. Distributional properties depend critically on and are informative about the underlying structures of mental states, they abstract in important ways from aspects of how mental states are processed, and they can yield significant insights into the variegation of psychological capacities. (shrink)

Alasia Nuti’s recent book Injustice and the Reproduction of History: Structural Inequalities, Gender and Redress puts forward a compelling vision of contemporary duties to redress past wrongdoing, grounded in the idea of “historical-structural-injustice”, constituted by the “structural reproduction of an unjust history over time and through changes”. Such an approach promises to transcend the familiar scholarly divide between “backward-looking” and “forward-looking” models, and allow for a reparative approach that focuses specifically on those past wrongs that impact the present, while retaining (...) a significant focus on the historical. While Nuti’s work is perhaps the most sophisticated treatment of structural injustice to date, this paper argues that an exclusive concentration on historical-structural-injustices neglects some aspects and some acts of wrongdoing that call out for present-day redress. What is needed, therefore, is a pluralist theory that can accept the pressing force in the present of historical-structural-injustices, whilst also making room for past-regarding duties that either do not fit, or are not best conceptualized in terms of, this approach, without being overwhelmed by the sheer scale of historic injustice. (shrink)

Reflection on the historical injustice suffered by many formerly colonized groups has left us with a peculiar account of their claims to material objects. One important upshot of that account, relevant to present day justice, is that many people seem to think that members of indigenous groups have special claims to the use of particular external objects by virtue of their attachment to them. In the first part of this paper I argue against that attachment-based claim. In the second part (...) I suggest that, to provide a normatively defensible account of why sometimes agents who are attached to certain external objects might also have special claims over them, the most important consideration is whether the agents making such claims suffer from structural injustice in the present. In the third part I try to explain why structural injustice matters, in what way attachment-based claims relate to it and when they count. (shrink)

The epistemic probability of A given B is the degree to which B evidentially supports A, or makes A plausible. This paper is a first step in answering the question of what determines the values of epistemic probabilities. I break this question into two parts: the structural question and the substantive question. Just as an object’s weight is determined by its mass and gravitational acceleration, some probabilities are determined by other, more basic ones. The structural question asks what probabilities are (...) not determined in this way—these are the basic probabilities which determine values for all other probabilities. The substantive question asks how the values of these basic probabilities are determined. I defend an answer to the structural question on which basic probabilities are the probabilities of atomic propositions conditional on potential direct explanations. I defend this against the view, implicit in orthodox mathematical treatments of probability, that basic probabilities are the unconditional probabilities of complete worlds. I then apply my answer to the structural question to clear up common confusions in expositions of Bayesianism and shed light on the “problem of the priors.”. (shrink)

Fine, Lowe and Hale accept the view that necessity is to be explained by essences: Necessarily p iff, and because, there is some x whose essence ensures that p. Hale, however, believes that this strategy is not universally applicable; he argues that the necessity of essentialist truths cannot itself be explained by once again appealing to essentialist truths. As a consequence, Hale holds that there are basic necessities that cannot be explained. Thus, Hale style essentialism falls short of what Wilsch (...) calls the explanation-challenge (EC) for the metaphysics of necessity. Without endorsing the EC, I argue that Hale’s argument for basic, unexplained necessities fails due to a misunderstanding of the structure of essentialist explanations. Getting clear about the structure of essentialist explanations of necessity leads to a re-evaluation of crucial circularity- and regress-arguments that have been discussed in the debate about essentialism. (shrink)

Recent accounts of actual causation are stated in terms of extended causal models. These extended causal models contain two elements representing two seemingly distinct modalities. The first element are structural equations which represent the or mechanisms of the model, just as ordinary causal models do. The second element are ranking functions which represent normality or typicality. The aim of this paper is to show that these two modalities can be unified. I do so by formulating two constraints under which extended (...) causal models with their two modalities can be subsumed under so called which contain just one modality. These two constraints will be formally precise versions of Lewissystem of weights or priorities” governing overall similarity between possible worlds. (shrink)

Structural realism has been suggested as the best compromise in the debate on scientific realism. It proposes that we should be realist about the relational structure of the world, not its nature. However, it faces an important objection, first raised by Newman against Russell: if relations are not qualified, then the position is either trivial or collapses into empiricism, but if relations are too strongly qualified, then it is no longer SR. A way to overcome this difficulty is to talk (...) about modal, or nomological relations instead of purely extensional relations. I argue that this is insufficient, for then, SR collapses into modal empiricism. I suggest, however, that ME could be the best position in the debate on scientific realism. 1Introduction2Objections to Structural Realism3How to Escape Newman’s Objection4Which Modal Relations Are Retained in Theory Change?5Are Modal Relations Real?6Relativity and Fundamentality7Is Modal Empiricism Really Empiricism?8Could Modal Empiricism Be the Best of Both Worlds? (shrink)

Structural universals are a kind of complex universal. They have been put to work in a variety of philosophical theories but are plagued with problems concerning their compositional nature. In this article, we will discuss the following questions. What are structural universals? Why believe in them? Can we give a consistent account of their compositional nature? What are the costs of doing so?

The type-level abstraction is a formal way to represent molecular structures in biological practice. Graphical representations of molecular structures of biological objects are also used to identify functional processes of things. This paper will reveal that category theory is a formal mathematical language not only to visualize molecular structures of biological objects as type-level abstraction formally but also to understand how to infer biological functions from the molecular structures of biological objects. Category theory is a toolkit (...) to understand biological knowledge at the type-level formally, not individual token-level, as well as typical heuristic strategies in molecular biology. (shrink)

In this paper I challenge and adjudicate between the two positions that have come to prominence in the scientific realism debate: deployment realism and structural realism. I discuss a set of cases from the history of celestial mechanics, including some of the most important successes in the history of science. To the surprise of the deployment realist, these are novel predictive successes toward which theoretical constituents that are now seen to be patently false were genuinely deployed. Exploring the implications for (...) structural realism, I show that the need to accommodate these cases forces our notion of “structure” toward a dramatic depletion of logical content, threatening to render it explanatorily vacuous: the better structuralism fares against these historical examples, in terms of retention, the worse it fares in content and explanatory strength. I conclude by considering recent restrictions that serve to make “structure” more specific. I show however that these refinements will not suffice: the better structuralism fares in specificity and explanatory strength, the worse it fares against history. In light of these case studies, both deployment realism and structural realism are significantly threatened by the very historical challenge they were introduced to answer. (shrink)

It is frequently argued that to address structural injustice, individuals should participate in collective actions organized by civil society organizations, but the role and the normative status of CSOs are rarely discussed. In this paper, we argue that CSOs semi-perfect our shared obligation to address structural injustice by defining shared goals as well as taking actions to further them. This assigns a special moral status to CSOs, which in turn gives rise to our duty to support them. Thus, we do (...) not have full discretion when deciding whether to join collective actions or not. Under certain conditions, we can even be forced by others to do our share. (shrink)

According to the structured theory of propositions, if two sentences express the same proposition, then they have the same syntactic structure, with corresponding syntactic constituents expressing the same entities. A number of philosophers have recently focused attention on a powerful argument against this theory, based on a result by Bertrand Russell, which shows that the theory of structured propositions is inconsistent in higher order-logic. This paper explores a response to this argument, which involves restricting the scope of the claim that (...) propositions are structured, so that it does not hold for all propositions whatsoever, but only for those which are expressible using closed sentences of a given formal language. We call this restricted principle Closed Structure, and show that it is consistent in classical higher-order logic. As a schematic principle, the strength of Closed Structure is dependent on the chosen language. For its consistency to be philosophically significant, it also needs to be consistent in every extension of the language which the theorist of structured propositions is apt to accept. But, we go on to show, Closed Structure is in fact inconsistent in a very natural extension of the standard language of higher-order logic, which adds resources for plural talk of propositions. We conclude that this particular strategy of restricting the scope of the claim that propositions are structured is not a compelling response to the argument based on Russell’s result, though we note that for some applications, for instance to propositional attitudes, a restricted thesis in the vicinity may hold some promise. (shrink)

Linguistic structures have recently started to attract attention from economists as determinants of economic phenomena. This paper provides the first comprehensive review of this nascent literature and its achievements so far. First, we explore the complex connections between language, culture, thought and behaviour. Then, we summarize the empirical evidence on the relationship between linguistic structures and economic and social outcomes. We follow up with a discussion of data, empirical design and identification. The paper concludes by discussing implications for (...) future research and policy. (shrink)

The aim of the study was to identify the organizational structure and its relation to the prevailing pattern of communication in the Palestinian universities. The researchers used the analytical descriptive method through a questionnaire randomly distributed among Palestinian university workers in the Gaza Strip. The study was conducted on a sample of (274) administrative staff from the three universities, and the response rate was (81.87%). The study found that there is a high satisfaction with the nature of the organizational structure (...) in the Palestinian universities from the point of view of the administrative staff, which reached 68.05%. And that there is a high level of communication pattern prevailing from the point of view of administrative staff, where the percentage (71.32%), there is a direct correlation between the nature of the organizational structure and the prevailing pattern of communication, the absence of differences between the sample according to the gender variable in their perception of the nature of the organizational structure and the prevailing pattern of communication, the absence of differences in the perception of employees of the nature of the organizational structure and the pattern of communication prevailing according to the variable age. There are differences of statistical significance in the perception of the nature of the organizational structure and the pattern of communication depending on the variable of scientific qualification in the organizational structure, and the pattern of communication. Differences were in favor of diploma holders compared to other practical qualifications. There is an absence of differences in the perception of employees of the nature of the organizational structure and the pattern of communication depending on the variable years of service. There is absence of differences in the perception of employees of the nature of the organizational structure and the pattern of communication depending on the variable level of career (Director, Head of Department, and Administrative Officer). There is absence of differences in the perception of employees of the nature of the organizational structure and the pattern of communication depending on the variable of the workplace. And the existence of differences in the perception of the employees of the nature of the organizational structure and pattern of communication depending on the university in which they work. And that there are statistically significant differences between the Islamic University and Al-Azhar University, the nature of the organizational structure and the pattern of communication in favor of the Islamic University. And that there are statistically significant differences between Al-Azhar University and Al-Aqsa University in the prevailing pattern of communication in favor of Al-Azhar University. The study reached a number of recommendations, the most important of which is that the departments of the Palestinian universities in the Gaza Strip in general, Al-Aqsa University and Al-Azhar Universities should be given greater attention to the prevailing organizational structure and the staff, the need to improve the pattern of communication prevalent in universities. Solving workers' problems and giving them the opportunity to contribute to solving their own problems. Strengthening the democratic leadership style and empowering university staff. (shrink)

Social problems such as racism, sexism, and inequality are often cited as structural rather than individual in nature. What does it mean to invoke a social structural explanation, and how do such explanations relate to individualistic ones? This article explores recent philosophical debates concerning the nature and usages of social structural explanation. I distinguish between two central kinds of social structural explanation: those that are autonomous from psychology, and those that are not. This distinction will help clarify the explanatory power (...) that each type of SSE has, points of convergence with methodological traditions such as critical theory and rational choice theory, and the difficulties that each type of SSE faces. (shrink)

While mechanistic explanation and, to a lesser extent, nomological explanation are well-explored topics in the philosophy of biology, topological explanation is not. Nor is the role of diagrams in topological explanations. These explanations do not appeal to the operation of mechanisms or laws, and extant accounts of the role of diagrams in biological science explain neither why scientists might prefer diagrammatic representations of topological information to sentential equivalents nor how such representations might facilitate important processes of explanatory reasoning unavailable to (...) scientists who restrict themselves to sentential representations. Accordingly, relying upon a case study about immune system vulnerability to attacks on CD4+ T-cells, I argue that diagrams group together information in a way that avoids repetition in representing topological structure, facilitate identification of specific topological properties of those structures, and make available to controlled processing explanatorily salient counterfactual information about topological structures, all in ways that sentential counterparts of diagrams do not. (shrink)