This Paper combines interval- valued neutrouphic sets and rough sets. It studies roughness in interval- valued neutrosophic sets and some of its properties. Finally we propose a Hamming distance between lower and upper approximations of interval valued neutrosophic sets.

In this paper, we defined (I,T) − standard neutrosophic rough sets based on an implicator I and a t-norm T on I; lower and upper approximations of standard neutrosophic sets in a standard neutrosophic approximation are defined. Some properties of (I,T) − standard neutrosophic rough sets are investigated. We consider the case when the neutrosophic components (truth, indeterminacy, and falsehood) are totally dependent, single-valued, and hence their sum is ≤ 1.

In this paper, we first defined soft intervalvalued neutrosophic rough sets(SIVN- rough sets for short) which combines interval valued neutrosophic soft set and rough sets and studied some of its basic properties. This concept is an extension of soft interval valued intuitionistic fuzzy rough sets( SIVIF- rough sets). Finally an illustartive example is given to verfy the developped algorithm and to demonstrate its practicality and effectiveness.

Abstract: Theories of rough sets and fuzzy sets are related and complementary methodologies to handle uncertainty of vagueness and coarseness, respectively. They are generalizations of classical set theory for modeling vagueness and uncertainty. A fundamental question concerning both theories is their connections and differences. There have been many studies on this topic. Topology is a branch of mathematics, whose ideas exist not only in almost all branches of mathematics but also in many real life applications. The topological structure on (...) an abstract set is used as the base, which used to extract knowledge from data. In this paper: topological structure is used to study the relation between rough sets and fuzzy sets. Membership function is used to convert from rough set to fuzzy set and vice versa. This conversion will achieve the advantages of two theories. Some examples and theories are introduced to indicate the importance of using general binary relations in the construction of rough set concepts, and indicate the relation between rough sets and fuzzy sets according to the topological spaces. (shrink)

A rough fuzzy set is the result of the approximation of a fuzzy set with respect to a crisp approximation space. It is a mathematical tool for the knowledge discovery in the fuzzy information systems. In this paper, we introduce the concepts of rough standard neutrosophic sets and standard neutrosophic information system, and give some results of the knowledge discovery on standard neutrosophic information system based on rough standard neutrosophic sets.

Both neutrosophic sets theory and rough sets theory are emerging as powerful tool for managing uncertainty, indeterminate, incomplete and imprecise information .In this paper we develop an hybrid structure called “ rough neutrosophic sets” and studied their properties.

In this paper, we define projection and bidirectional projection measures between interval rough neutrosophic sets and prove their basic properties. Then two new multi attribute decision making strategies are proposed based on interval rough neutrosophic projection and bidirectional projection measures respectively. Then the proposed methods are applied for solving multi attribute decision making problems. Finally, a numerical example is solved to show the feasibility, applicability and effectiveness of the proposed strategies.

This paper is devoted to present Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method for multi-attribute group decision making under rough neutrosophic environment. The concept of rough neutrosophic set is a powerful mathematical tool to deal with uncertainty, indeterminacy and inconsistency. In this paper, a new approach for multi-attribute group decision making problems is proposed by extending the TOPSIS method under rough neutrosophic environment. Rough neutrosophic set is characterized by the upper and lower (...) approximation operators and the pair of neutrosophic sets that are characterized by truth-membership degree, indeterminacy membership degree, and falsity membership degree. In the decision situation, ratings of alternatives with respect to each attribute are characterized by rough neutrosophic sets that reflect the decision makers’ opinion. Rough neutrosophic weighted averaging operator has been used to aggregate the individual decision maker’s opinion into group opinion for rating the importance of attributes and alternatives. Finally, a numerical example has been provided to demonstrate the applicability and effectiveness of the proposed approach. (shrink)

The paper proposes a new formal approach to vagueness and vague sets taking inspirations from Pawlak’s rough set theory. Following a brief introduction to the problem of vagueness, an approach to conceptualization and representation of vague knowledge is presented from a number of different perspectives: those of logic, set theory, algebra, and computer science. The central notion of the vague set, in relation to the rough set, is defined as a family of sets approximated by the so called (...) lower and upper limits. The family is simultaneously considered as a family of all denotations of sharp terms representing a suitable vague term, from the agent’s point of view. Some algebraic operations on vague sets and their properties are defined. Some important conditions concerning the membership relation for vague sets, in connection to Blizard’s multisets and Zadeh’s fuzzy sets, are established as well. A classical outlook on a logic of vague sentences (vague logic) based on vague sets is also discussed. (shrink)

In this paper, we define correlation coefficient measure between any two rough neutrosophic sets. We also prove some of its basic properties.. We develop a new multiple attribute group decision making method based on the proposed correlation coefficient measure. An illustrative example of medical diagnosis is solved to demonstrate the applicability and effecriveness of the proposed method.

The purpose of this study is to propose new similarity measures namely rough variational coefficient similarity measure under the rough neutrosophic environment. The weighted rough variational coefficient similarity measure has been also defined. The weighted rough variational coefficient similarity measures between the rough ideal alternative and each alternative are xxxxx calculated to find the best alternative. The ranking order of all the alternatives can be determined by using the numerical values of similarity measures. Finally, an (...) illustrative example has been provided to show the effectiveness and validity of the proposed approach. Comparisons of decision results of existing rough similarity measures have been provided. (shrink)

In this paper, the sine, cosine and cotangent similarity measures of interval rough neutrosophic sets is proposed. Some properties of the proposed measures are discussed. We have proposed multi attribute decision making approaches based on proposed similarity measures. To demonstrate the applicability, a numerical example is solved.

Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic (...) rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been an important tool in the application of various areas such as data mining, decision making, e-learning, engineering, medicine, social science, and some more. (shrink)

This paper introduces the theory QST of quasets as a formal basis for the Nmatrices. The main aim is to construct a system of Nmatrices by substituting standard sets by quasets. Since QST is a conservative extension of ZFA (the Zermelo-Fraenkel set theory with Atoms), it is possible to obtain generalized Nmatrices (Q-Nmatrices). Since the original formulation of QST is not completely adequate for the developments we advance here, some possible amendments to the theory are also considered. One of the (...) most interesting traits of such an extension is the existence of complementary quasets which admit elements with undetermined membership. Such elements can be interpreted as quantum systems in superposed states. We also present a relationship of QST with the theory of Rough Sets RST, which grants the existence of models for SQT formed by rough sets. Some consequences of the given formalism for the relation of logical consequence are also analysed. (shrink)

In the article the problem of imprecise information and concepts is considered. The theory of rough sets and the theory of fuzzy sets are used to provide an original solution to this problem.

This fifth volume on Advances and Applications of DSmT for Information Fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics, and is available in open-access. The collected contributions of this volume have either been published or presented after disseminating the fourth volume in 2015 in international conferences, seminars, workshops and journals, or they are new. The contributions of each part of this volume are chronologically ordered. First Part of this book presents some (...) theoretical advances on DSmT, dealing mainly with modified Proportional Conflict Redistribution Rules (PCR) of combination with degree of intersection, coarsening techniques, interval calculus for PCR thanks to set inversion via interval analysis (SIVIA), rough set classifiers, canonical decomposition of dichotomous belief functions, fast PCR fusion, fast inter-criteria analysis with PCR, and improved PCR5 and PCR6 rules preserving the (quasi-)neutrality of (quasi-)vacuous belief assignment in the fusion of sources of evidence with their Matlab codes. Because more applications of DSmT have emerged in the past years since the apparition of the fourth book of DSmT in 2015, the second part of this volume is about selected applications of DSmT mainly in building change detection, object recognition, quality of data association in tracking, perception in robotics, risk assessment for torrent protection and multi-criteria decision-making, multi-modal image fusion, coarsening techniques, recommender system, levee characterization and assessment, human heading perception, trust assessment, robotics, biometrics, failure detection, GPS systems, inter-criteria analysis, group decision, human activity recognition, storm prediction, data association for autonomous vehicles, identification of maritime vessels, fusion of support vector machines (SVM), Silx-Furtif RUST code library for information fusion including PCR rules, and network for ship classification. Finally, the third part presents interesting contributions related to belief functions in general published or presented along the years since 2015. These contributions are related with decision-making under uncertainty, belief approximations, probability transformations, new distances between belief functions, non-classical multi-criteria decision-making problems with belief functions, generalization of Bayes theorem, image processing, data association, entropy and cross-entropy measures, fuzzy evidence numbers, negator of belief mass, human activity recognition, information fusion for breast cancer therapy, imbalanced data classification, and hybrid techniques mixing deep learning with belief functions as well. (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)

A hypergroup, as a generalization of the notion of a group, was introduced by F. Marty in 1934. The first book in hypergroup theory was published by Corsini. Nowadays, hypergroups have found applications to many subjects of pure and applied mathematics, for example, in geometry, topology, cryptography and coding theory, graphs and hypergraphs, probability theory, binary relations, theory of fuzzy and rough sets and automata theory, physics, and also in biological inheritance.

The topics approached in this collection of papers 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; fuzzy measure; clustering algorithm; and many more. (shrink)

Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic (...) rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been an important tool in the application of various areas such as data mining, decision making, e-learning, engineering, medicine, social science, and some more. (shrink)

Libertarian free will is, roughly, the view that agents cause actions to occur or not occur: Maddy’s decision to get a beer causes her to get up off her comfortable couch to get a beer, though she almost chose not to get up. Libertarian free will notoriously faces the luck objection, according to which agential states do not determine whether an action occurs or not, so it is beyond the control of the agent, hence lucky, whether an action occurs or (...) not: Maddy’s reasons for getting beer in equipoise with her reasons to remain in her comfortable seat do not determine that she will get up or stay seated, so it seems beyond her control, hence lucky, that she gets up. In this paper I consider a sub-set of the luck objection called the Physical Indeterminism Luck Objection, according to which indeterministic physical processes cause actions to occur or not, and agent’s lack control over these indeterministic physical processes, so agent’s lack control over, hence it is lucky, whether action occurs or not. After motivating the physical indeterminism luck objection, I consider responses from three recent event-causal libertarian models, and conclude that they fail to overcome the problem, though one promising avenue is opened up. (shrink)

Semantic dispositionalism is roughly the view that meaning a certain thing by a word, or possessing a certain concept, consists in being disposed to do something, e.g., infer a certain way. Its main problem is that it seems to have so many and disparate exceptions. People can fail to infer as required due to lack of logical acumen, intoxication, confusion, deviant theories, neural malfunctioning, and so on. I present a theory stating possession conditions of concepts that are counterfactuals, rather than (...) disposition attributions, but which is otherwise similar to inferentialist versions of dispositionalism. I argue that it can handle all the exceptions discussed in the literature without recourse to ceteris paribus clauses. Psychological exceptions are handled by suitably undemanding requirements (unlike that of giving the sum of any two numbers) and by setting the following two preconditions upon someone’s making the inference: that she considers the inference and has no motivating reason against it. The non-psychological exceptions, i.e., cases of neural malfunctioning, are handled by requiring that the counterfactuals be true sufficiently often during the relevant interval. I argue that this accommodates some important intuitions about concept possession, in particular, the intuition that concept possession is vague along a certain dimension. (shrink)

I show that centered propositions—also called de se propositions, and usually modeled as sets of centered worlds—pose a serious problem for various versions of Lewis's Principal Principle. The problem, put roughly, is that in scenarios like Elga's `Sleeping Beauty' case, those principles imply that rational agents ought to have obviously irrational credences. To solve the problem, I propose a centered version of the Principal Principle. My version allows centered propositions to be objectively chancy.

According to the Market Failures Approach to business ethics, beyond-compliance duties can be derived by employing the same rationale and arguments that justify state regulation of economic conduct. Very roughly the idea is that managers have a duty to behave as if they were complying with an ideal regulatory regime ensuring Pareto-optimal market outcomes. Proponents of the approach argue that managers have a professional duty not to undermine the institutional setting that defines their role, namely the competitive market. This answer (...) is inadequate, however, for it is the hierarchical firm, rather than the competitive market, that defines the role of corporate managers and shapes their professional obligations. Thus, if the obligations that the market failures approach generates are to apply to managers, they must do so in an indirect way. I suggest that the obligations the market failures approach generates directly apply to shareholders. Managers, in turn, inherit these obligations as part of their duties as loyal agents. (shrink)

The Bayesian maxim for rational learning could be described as conservative change from one probabilistic belief or credence function to another in response to newinformation. Roughly: ‘Hold fixed any credences that are not directly affected by the learning experience.’ This is precisely articulated for the case when we learn that some proposition that we had previously entertained is indeed true (the rule of conditionalisation). But can this conservative-change maxim be extended to revising one’s credences in response to entertaining propositions or (...) concepts of which one was previously unaware? The economists Karni and Vierø (2013, 2015) make a proposal in this spirit. Philosophers have adopted effectively the same rule: revision in response to growing awareness should not affect the relative probabilities of propositions in one’s ‘old’ epistemic state. The rule is compelling, but only under the assumptions that its advocates introduce. It is not a general requirement of rationality, or so we argue. We provide informal counterexamples. And we show that, when awareness grows, the boundary between one’s ‘old’ and ‘new’ epistemic commitments is blurred. Accordingly, there is no general notion of conservative change in this setting. (shrink)

Kant takes the idea of autonomy of the will to be his distinctive contribution to moral philosophy. However, this idea is more nuanced and complicated than one might think. In this chapter, I sketch the rough outlines of Kant’s idea of autonomy of the will while also highlighting contentious exegetical issues that give rise to various possible interpretations. I tentatively defend four basic claims. First, autonomy primarily features in Kant’s account of moral agency, as the condition of the possibility (...) of moral obligation. Second, autonomy amounts to a metaphysical property as well as a normative principle and a psychological capacity. Third, although there is legitimate scholarly disagreement about whether or not autonomy involves self-legislation of the moral law, there is good reason to believe it underwrites an ‘inside-out’ (as opposed to ‘outside-in’) conception of the relationship between the will and moral requirements. Fourth, persons have dignity because their autonomy makes them members in the set of beings over whom the categorical imperative requires us to universalise our maxims, not because autonomy is an independently important property. (shrink)

The notion of intentionality has been in the center of the debate between dualism and physicalism quite some time. Dualism insists that intentionality is the mark of mental phenomena which separates humans from other animals whereas physicalism roughly claims that whatever there is either reducible to some physical states or explainable in terms of some physical language. But both of them are deeply troubled. Is there any other alternative? Where can we look for one? We know that Asian tradition is (...) full of organic world views. I am inclined to think that one alternative world view may come from this background. This paper tries to show that the notion of cheng(誠) intentionality is such a candidate. -/- I will advance a thesis in this paper that cheng(誠) intentionality is holistic. The notion is not only applicable to humans but also to all other phenomena. This may seem indistinguishable from physicalism in its monistic settings. Since I believe that the notion of cheng(誠) is more persuasive in explaining mental phenomena in evolutionary terms, I would argue here that the thesis can also be supported by some notions like that an information is a syntactical structure which reflects physical states and that the physicalisitic view of the world is not sufficient. (shrink)

Scientists have the ability to influence policy in important ways through how they present their results. Surprisingly, existing codes of scientific ethics have little to say about such choices. I propose that we can arrive at a set of ethical guidelines to govern scientists’ presentation of information to policymakers by looking to bioethics: roughly, just as a clinician should aim to promote informed decision-making by patients, a scientist should aim to promote informed decision-making by policymakers. Though this may sound like (...) a natural proposal, I show it offers guidance that conflicts with standard scientific practices. I conclude by considering one cost of the proposal: that it would prevent scientists from acting as advocates in a way that is currently common in certain fields. I accept that the proposal would restrict scientists’ political advocacy rights, but argue that the benefits of adopting it — promoting democratic governance — justify the restriction. (shrink)

The notion of Simulative Reasoning in the study of propositional attitudes within Artificial Intelligence (AI) is strongly related to the Simulation Theory of mental ascription in Philosophy. Roughly speaking, when an AI system engages in Simulative Reasoning about a target agent, it reasons with that agent’s beliefs as temporary hypotheses of its own, thereby coming to conclusions about what the agent might conclude or might have concluded. The contrast is with non-simulative meta-reasoning, where the AI system reasons within a detailed (...) theory about the agent’s (conjectured) reasoning acts. The motive within AI for preferring Simulative Reasoning is that it is more convenient and efficient, because of a simplification of the representations and reasoning processes. The chapter discusses this advantage in detail. It also sketches the use of Simulative Reasoning in an AI natural language processing system, ATT-Meta, that is currently being implemented. This system is directed at the understanding of propositional attitude reports. In ATT-Meta, Simulative Reasoning is yoked to a somewhat independent set of ideas about how attitude reports should be treated. Central here are the claims that (a) speakers often employ commonsense (and largely metaphorical) models of mind in describing agents’ attitudes, (b) the listener accordingly needs often to reason within the terms of such models, rather than on the basis of any objectively justifiable characterization of the mind, and (c) the commonsense models filter the suggestions that Simulative Reasoning comes up with concerning target agents’ reasoning conclusions. There is a yet tighter connection between the commonsense models and the Simulative Reasoning. It turns out that Simulative Reasoning can be rationally reconstructed in terms of a more general type of reasoning about the possibly-counterfactual “world” that the target agent believes in, together with an assumption that that agent has a faithful representation of the world. In the ATT-Meta approach, the reasoner adopts that assumption when it views the target agent through a particular commonsense model (called IDEAS-AS-MODELS). (shrink)

This essay considers how ancient Stoic cosmopolitanism – roughly, the claim all human beings are members of the same “cosmopolis”, or universal city, and so are entitled to moral concern in virtue of possessing reason – informs Stoic thinking about how we ought to treat non-human entities in the environment. First, I will present the Stoic justification for the thesis that there are only rational members of the cosmopolis – and so that moral concern does not extend to any non-human (...) part of the natural world – and explore the foundations of these views in Stoic physics. Next, I will show that, like other anthropocentric theories, Stoic cosmopolitanism allows for environmental preservation and protection of non-human entities, so long as these activities ultimately benefit human beings. However, because the Stoics include the appreciation of natural beauty as a component of the happy life, this justification is not as feeble as it might seem. Humans are naturally set up to contemplate the order and complexity of the universe, and so environmental degradation and species loss, in marring this harmonious system, frustrates the achievement of the human goal. After exploring these facets of Stoic philosophy, and assessing to what extent they might justify environmental conservation, I close with a critical appraisal of Stoic theory – specifically, of the claims that (i) only humans possess reason and (ii) only rational creatures are deserving of moral concern. (shrink)

This paper discusses two distinct questions of distributive justice raised by climate change. Stated very roughly, one question concerns how much protection is owed to the potential victims of climate change (the Just Target Question), and the second concerns how the burdens (and benefits) involved in preventing dangerous climate change should be distributed (the Just Burden Question). In Section II, I focus on the first of these questions, the Just Target Question. The rest of the paper examines the second question, (...) the Just Burden Question. To answer this question, I argue, it is necessary to address two important methodological questions (one concerning the choice between what I term Integrationism and Isolationism and the other concerning the choice between what I term Holism and Atomism). Sections III-V, thus, set out and explore these two methodological issues. Having done so, the paper then turns from methodological issues to substantive analysis, and in Section VI it examines three principles of distributive justice that, it has been suggested, should determine how the burden of addressing dangerous climatic changes should be distributed (the Polluter Pays Principle, the Ability to Pay Principle and the Beneficiary Pays Principle). (shrink)

This paper shows that several live philosophical and scientific hypotheses – including the holographic principle and multiverse theory in quantum physics, and eternalism and mind-body dualism in philosophy – jointly imply an audacious new theory of free will. This new theory, "Libertarian Compatibilism", holds that the physical world is an eternally existing array of two-dimensional information – a vast number of possible pasts, presents, and futures – and the mind a nonphysical entity or set of properties that "read" that physical (...) information off to subjective conscious awareness (in much the same way that a song written on an ordinary compact-disc is only played when read by an outside medium, i.e. a CD-player). According to this theory, every possible physical “timeline” in the multiverse may be fully physically deterministic or physically-causally closed but each person’s consciousness still entirely free to choose, ex nihilo, outside of the physical order, which physically-closed timeline is experienced by conscious observers. Although Libertarian Compatibilism is admittedly fantastic, I show that it not only follows from several live scientific and philosophical hypotheses, I also show that it (A) is a far more explanatorily powerful model of quantum mechanics than more traditional interpretations (e.g. the Copenhagen, Everett, and Bohmian interpretations), (B) makes determinate, testable empirical predictions in quantum theory, and finally, (C) predicts and explains the very existence of a number of philosophical debates and positions in the philosophy of mind, time, personal identity, and free will. First, I show that whereas traditional interpretations of quantum mechanics are all philosophically problematic and roughly as ontologically “extravagant” as Libertarian Compatibilism – in that they all posit “unseen” processes – Libertarian Compatibilism is nearly identical in structure to the only working simulation that human beings have ever constructed capable of reproducing (and so explaining) every general feature of quantum mechanics we perceive: namely, massive-multiplayer-online-roleplaying videogames (or MMORPGs). Although I am not the first to suggest that our world is akin to a computer simulation, I show that existing MMORPGs (online simulations we have already created) actually reproduce every general feature of quantum mechanics within their simulated-world reference-frames. Second, I show that existing MMORPGs also replicate (and so explain) many philosophical problems we face in the philosophy of mind, time, personal identity, and free will – all while conforming to the Libertarian Compatibilist model of reality. -/- I conclude, as such, that as fantastic and metaphysically extravagant as Libertarian Compatibilism may initially seem, it may well be true. It explains a number of features of our reality that no other physical or metaphysical theory does. (shrink)

The goal of this short chapter, aimed at philosophers, is to provide an overview and brief explanation of some central concepts involved in predictive processing (PP). Even those who consider themselves experts on the topic may find it helpful to see how the central terms are used in this collection. To keep things simple, we will first informally define a set of features important to predictive processing, supplemented by some short explanations and an alphabetic glossary. -/- The features described here (...) are not shared in all PP accounts. Some may not be necessary for an individual model; others may be contested. Indeed, not even all authors of this collection will accept all of them. To make this transparent, we have encouraged contributors to indicate briefly which of the features are necessary to support the arguments they provide, and which (if any) are incompatible with their account. For the sake of clarity, we provide the complete list here, very roughly ordered by how central we take them to be for “Vanilla PP” (i.e., a formulation of predictive processing that will probably be accepted by most researchers working on this topic). More detailed explanations will be given below. Note that these features do not specify individually necessary and jointly sufficient conditions for the application of the concept of “predictive processing”. All we currently have is a semantic cluster, with perhaps some overlapping sets of jointly sufficient criteria. The framework is still developing, and it is difficult, maybe impossible, to provide theory-neutral explanations of all PP ideas without already introducing strong background assumptions. (shrink)

I begin by constructing a religio-philosophical argument informed by ideas salient in the African tradition for thinking that we should express gratitude to God for having been giving a dignity-conferring life-force, after which I defend the argument from value-theoretic criticisms (I set aside metaphysical issues altogether). For example, I respond to the objections that having an inherent dignity is not a benefit of a sort warranting gratitude and that those with bad lives have no reason to be grateful. I conclude (...) roughly that, while those with unavoidably bad lives indeed have some reason to be disappointed about the quality of their life, that is compatible with there also being some reason for them to express gratitude for their dignified life-force. I conclude the chapter by considering the prospects for secularizing the African rationale. (shrink)

What is knowledge? What should knowledge be like? Call an epistemological project that sets out to answer the first question ‘descriptive’ and a project that sets out to answer the second question ‘normative’. If the answers to these two questions don’t coincide—if what knowledge should be like differs from what knowledge is like—there is room for a third project we call ‘revisionary’. A revisionary project starts by arguing that what knowledge should be differs from what knowledge is. It then proposes (...) that we revise our account of knowledge accordingly. Our aim in this paper was to develop a methodology for revisionary projects in epistemology. Put roughly, the thought is that we start by looking at the various things that we expect knowledge to do for us. Once we have a list of the various things we expect knowledge to do for us we have a ‘job description’; a list of tasks we need done, and that we expect knowledge to perform. With the job description in hand, we can ask what knowledge would hav.. (shrink)

In this paper we provide an analysis of dynamic dispositionalism. It is usually claimed that dispositions are dynamic properties. However, there is no exhaustive analysis of dynamism in the dispositional literature. We will argue that the dynamic character of dispositions can be analyzed in terms of three features: (i) temporal extension, (ii) necessary change and (iii) future orientedness. Roughly, we will defend the idea that dynamism entails a continuous view of time, to be analyzed in mathematical terms, where intervals are (...) its constitutive elements, whose duration lasts as much as a certain change takes to occur (in support of i). Such changes are the necessary components for the flowing of time because we think there cannot be time without change, (thus supporting ii) and that the forward-looking feature of properties is what determines the direction of time (as per iii). The paper is structured in 5 sections. In the first section, we set the problem: we outline and criticize some dispositional theories that defend an unsatisfying notion of dynamism. In the second, third and fourth sections we defend each desideratum for a disposition to be dynamic. Finally, we draw some conclusions and consider potential future research. (shrink)

Buridan holds that the proper subject of psychology (i.e., the science undertaken in Aristotle’s De Anima) is the soul, its powers, and characteristic functions. But, on his view, the science of psychology should not be understood as including the body nor even the soul-body composite as its proper subject. Rather its subject is just “the soul in itself and its powers and functions insofar as they stand on the side of the soul". Buridan takes it as obvious that, even thus (...) narrowly construed, such a science is possible. To the extent that this science includes the human or intellective soul, however, Buridan’s claim regarding its possibility is far from obvious. After all, like most of his contemporaries, Buridan takes the human soul to be immaterial. Thus, he readily admits that “the intellect cannot be sensed” and its operations are likewise inaccessible to the senses. Yet, on Buridan's broadly empiricist theory of knowledge, all (human) knowledge, including knowledge of the intellect or intellective soul, takes its start in the senses. How, then, is a science of the human soul possible? What is the nature or source of our knowledge of the intellect? In this paper, I reconstruct Buridan's answer to these questions. -/- My discussion divides roughly into two parts. In the first, I set out the main elements of Buridan’s account of how we come to cognize the intellect, focusing on what he says about the genesis of our concept of the intellect. I then consider his account of our cognition of our own intellective states. As the discussion in part one make clear, Buridan holds that our concepts of intellect and of intellective states are both derived (inferentially) from subjective “experience” of our own states and rational activities. In part two, therefore, I try to elucidate Buridan’s notion of experience. Ultimately, I argue that it is a non-conceptual, non-discursive mode of self-awareness. I suggest, moreover, that it might best be understood in terms of our own notion of phenomenal consciousness. On the interpretation I advance, then, it turns out that, for Buridan, our concept of the intellect itself and, hence, the science of (human) psychology in general, is ultimately grounded in phenomenal experience of our own intellective states. (shrink)

The problem of stored beliefs is that of explaining how non-occurrent, seemingly justified beliefs are indeed justified. Internalism about epistemic justification, the view that one’s mental life alone determines what one is justified in believing, allegedly cannot solve this problem. This paper provides a solution. It asks: Does having a belief that p require having a special relation to a mental representation that p? If the answer is yes, then there are no stored beliefs, and so there is no problem. (...) Drawing on extensive research in cognitive psychology, this paper argues that memory doesn’t store the representations required for stored belief, and we don’t bear the special relation to anything memory does store. On the leading “no” answer, a belief is roughly a set of dispositions. This paper argues that a justified belief is then best understood as a set of dispositions. Since these dispositions are mental, internalism can count the right stored beliefs as justified. (shrink)

Joseph Margolis holds that both artworks and selves are ”culturally emergent entities." Culturally emergent entities are distinct from and not reducible to natural or physical entities. Artworks are thus not reducible to their physical media; a painting is thus not paint on canvas and music is not sound. In a similar vein, selves or persons are not reducible to biology, and thought is not reducible to the physical brain. Both artworks and selves thus have two ongoing and inseparable ”evolutions”—one cultural (...) and one physical. Rather than having fixed ”natures” that remain stable for any purpose other than numerical identity, artworks and selves have ”careers” due to their cultural evolution that change with the course and flux of history, interpretation and reinterpretation. The question for this essay is how a Margolisian encultured artist, who is also an individual ”self," can construct an identifiable ”career” that is both from culture and develops culture constructively in a way that involves an individual, as well as collective, contribution. In answering this question I will provide a theory that shows how Margolis’ work on the artist as cultural agent leaves room for creative innovators within a cultural context. In short, I claim that Margolis’ idea that a person is a thinking-and-doing practitioner that emerges from and works within a cultural context does allow for the agent to use that same context to acquire the tools and skills necessary to make something new. I will then consider how this innovation might be possible by making recourse to some theories of creativity from neuroscience and psychology. This essay will focus on Margolis’ theory of the creative artist as cultural agent as supplemented with an account of the nature of the human being as a raw set of genetic materials and capacity for acquiring cultural competence. My claim is that this is the site for an adequate account of how some encultured persons are able to create exceptional innovations in artistic domains and others are not. I agree with Margolis that it is true that innovation is not possible by any pre- or non-encultured self but I also think that extremes of cultural mastery and innovation, as in the case of highly creative and innovative artists, are not possible without an inborn potentiality to develop to a high level of cultural ability under the right conditions. This is not to deny Margolis’ theory of artists as cultural agents. Indeed, I accept Margolis’ view of the deep importance of culture to the development of the self and to the creative artist wholeheartedly. I also agree that this is a crucial aspect of artistic agency and creativity that has been given short shrift in analytic aesthetics. My intention here is only to answer one question that is still left unanswered after understanding and acknowledging the importance of culture: How do we account for the disparity in ability in cultural agents and artists that cannot be attributed to cultural training and socio-historical factors? How do we account for the existence of the exceptionally creative artist in a situation where the cultural and socio-historical factors are roughly equivalent for others who demonstrate lesser amounts of creativity? (shrink)

Equal Justice explores the role of the idea of equality in liberal theories of justice. The title indicates the book’s two-part thesis: first, I claim that justice is the central moral category in the socio-political domain; second, I argue for a specific conceptual and normative connection between the ideas of justice and equality. This pertains to the age-old question concerning the normative significance of equality in a theory of justice. The book develops an independent, systematic, and comprehensive theory of equality (...) and egalitarianism. The principal question is about the importance of equality in a theory of justice. More precisely, we should pose questions in four contracting circles: 1. Is justice the supreme value guiding our setup of the basic structure of society, or are there other, equally important values, such as recognition, care, communal belonging? 2. If justice is the highest guiding principle, which competing ideals—especially equality and freedom—ought to have precedence in a policy oriented toward justice? What status does the ideal of equality have in that framework? 3. If equality is a basic ideal of just policy, how should it be practically realized? What sort of equality (equal opportunity, equality of welfare, resource equality) should be demanded? 4. What patterned distribution of which specific goods does the ideal of equality demand? Which principles of distribution can be justified according to our justice ideal? To conclude and summarize: 5. What is the essential core of an egalitarian theory of justice, as opposed to an inegalitarian theory? These five questions structure the work’s order of argumentation. Part A elaborates the conceptual foundations and basic moral principles of justice and equality. Chapter I sets out to install justice as the central moral category in the socio-political domain. At the beginning of the first chapter, the conceptual foundations of justice are clarified. While not eliminating the classical distinctions between different forms of justice, I argue that the distributive paradigm is of primary importance. The primacy of justice in the socio-political domain is developed out of a confrontation with alternative positions, those which maintain either that justice generally, or distributive justice in particular, are subsidiary virtues. At the end of Chapter I, the first of the questions mentioned above is answered in a way that establishes justice as the guiding normative concept for the foundation and evaluation of any social order. To clarify the role of equality in a theory of justice, Chapter II separates the idea of equality into four different principles. They are organized in a way that begins with the most general and uncontroversial principle of equality, and progresses towards increasingly detailed and contested principles. There are two theses that articulate and defend the significance of equality for justice: First there is a conceptual connection between justice and equality, in that principles of formal and proportional equality are necessary in order to explicate the concept of justice. These two principles establish an unbreakable bond between justice and equality. Justice can only be explained—or so I argue—by reference to these and other (normative) principles of equality. The second thesis posits a normative relationship between justice and equality, which is disclosed by three substantive principles of equality: moral equality, the presumption of equality, and the principle of responsibility. I argue that the normative core of an egalitarian theory of justice is expressed by the latter two principles, which are themselves based on the first principle, that of moral equality. When we view one another as persons, what form of equality or equal treatment is normatively demanded? I argue that the answer to this question is given by the procedural principle of the presumption of equality: regardless of their apparent differences, all persons deserve strictly equal treatment, unless certain kinds of differences have whatever particular relevance would justify, on generally acceptable grounds, unequal treatment or unequal distribution. The justification of the presumption of equality is central to this work and has considerable importance. If the presumption principle’s validity can be justified by enlisting the principle of general justification, then the primacy of equality, and the essential argument for an egalitarian theory of justice, is established. This would likewise provide a procedure for the construction of a material theory of justice. The second question is answered thereby at the end of Chapter II: Equality should have primacy over competing ideals within a justice-oriented policy. The presumption of equality establishes this primacy and, at the same time, offers an appropriate metric and guideline for the construction of a material theory of distributive justice. The presumption of equality in Part B offers an elegant procedure for the development of a theory of distributive justice. Chapter III clearly sets out the necessary prerequisites that a theory of distribution must satisfy in order to determine a liberal-egalitarian distributional framework. We need to specify in which situation the distribution takes place; which goods are and are not to be distributed; in which respect the presumptive equality is to be produced; and by and to whom, and for what period, the relevant goods are to be distributed. The distribution is based on resources understood as general-purpose means. It is necessary to divide goods into different categories, since the justification for unequal treatment in one domain will not carry over into another. This makes presumptive equality necessarily complex. To that end, four spheres of justice are distinguished: (1) the political sphere, which involves allocating rights through the distribution of civil liberties; (2) the democratic sphere, in which political power and the rights of political participation are regulated; (3) the economic sphere, in which income and property are distributed; (4) the social sphere, in which social positions and opportunities are distributed. This framework of distributive justice answers the third of our guiding questions, about the nature of equality, in terms of equality of resources. Chapters IV and V set out the egalitarian distributive criteria for each sphere. I argue that the generally accepted, fundamental rights of classical liberalism are more effectively reconstructed by reference to the equal resource distribution presumptively required in those spheres. Chapter IV shows that when it comes to the first two spheres, those involving basic rights and freedoms and entitlement political participation, there can be no justified exceptions to the equal distribution of the relevant goods. That section argues, contrary to what we commonly find in theories of freedom or popular sovereignty, that the value of freedom and self-determination as the political basis of autonomy is best realized through the presumption of equal distribution. Chapter V deals with the other two spheres, those of economic goods and social positions, and argues for justified exceptions to equal distribution. In the economic sphere we find one principal reason favouring unequal distribution of resources, and three restrictions and compensations limiting that inequality. The basic exception to equal economic distribution arises from the unequal consequences of personal responsibility. From a suitably egalitarian standpoint, the principle of responsibility is the normative principle that determines which reasons justify economic inequality. Here the basic idea is that unequal shares of social goods are fair if they result from the choices and deliberate actions of the relevant parties. That individuals have to bear the costs of their own choices is a condition of autonomy. However, benefits or disadvantages arising from arbitrary and unmerited differences in social circumstances or natural endowments is unfair. The unequal consequences of independent decision-making and action must therefore be limited by compensating first for preferences, secondly for disadvantages, and thirdly by redistributing wealth in aid of the worse-off. I situations of emergency, compensating for disadvantages has priority over all other claims, owing to the urgency of the situation. Social inequalities go beyond the permissible limit if it is possible to improve the long-term social or economic situation of the worse-off by redistributing wealth to them. These exceptions lead to a complex system of free economic action within a framework of compensatory tax and transfer mechanisms. Finally, in the social sphere, the distribution of social positions, offices and opportunities must be structured to ensure that equally talented and motivated citizens have roughly equal chances of obtaining those offices or positions, irrespective of their economic or social class backgrounds. This compromise is permissible for reasons of freedom and prudence, and it makes a certain measure of inequality acceptable. The fourth of our guiding questions is answered accordingly. There are five principles of justice for the basic structure of society, and five legal principles that govern the special distribution of goods in the respective spheres—all are ranked according to their most defensible grounds of priority, ensuring that everyone is accorded equal justice. Chapter VI recapitulates the initial question of equality’s value. The conception of equal justice developed in this work postulates five principles of equality and five principles of law; these constitute an egalitarian framework because they support and promote social justice. Equality has value with respect to them, but is not given any independent, intrinsic value. That is why I call the account developed here a form of constitutive egalitarianism: justice is realized through the realization of equality, itself accomplished by applying the five postulates of equality and five distributive principles of law. This is an egalitarianism on two levels. The first level is involves the claim that morality or justice is conceptually connected with equality. The second level gives equality a substantial weight in what is conceptually validated at the first level, namely the presumption of equality, and constructs an appropriate interpretation and conception of distributive justice through principles of distribution for the individual spheres. The weight and importance of equality is shown by the distributive criteria applied to those spheres. This answers our final guiding question about the nature of an egalitarian theory. (shrink)

Girolamo Saccheri (1667--1733) was an Italian Jesuit priest, scholastic philosopher, and mathematician. He earned a permanent place in the history of mathematics by discovering and rigorously deducing an elaborate chain of consequences of an axiom-set for what is now known as hyperbolic (or Lobachevskian) plane geometry. Reviewer's remarks: (1) On two pages of this book Saccheri refers to his previous and equally original book Logica demonstrativa (Turin, 1697) to which 14 of the 16 pages of the editor's "Introduction" are devoted. (...) At the time of the first edition, 1920, the editor was apparently not acquainted with the secondary literature on Logica demonstrativa which continued to grow in the period preceding the second edition \ref[see D. J. Struik, in Dictionary of scientific biography, Vol. 12, 55--57, Scribner's, New York, 1975]. Of special interest in this connection is a series of three articles by A. F. Emch [Scripta Math. 3 (1935), 51--60; Zbl 10, 386; ibid. 3 (1935), 143--152; Zbl 11, 193; ibid. 3 (1935), 221--333; Zbl 12, 98]. (2) It seems curious that modern writers believe that demonstration of the "nondeducibility" of the parallel postulate vindicates Euclid whereas at first Saccheri seems to have thought that demonstration of its "deducibility" is what would vindicate Euclid. Saccheri is perfectly clear in his commitment to the ancient (and now discredited) view that it is wrong to take as an "axiom" a proposition which is not a "primal verity", which is not "known through itself". So it would seem that Saccheri should think that he was convicting Euclid of error by deducing the parallel postulate. The resolution of this confusion is that Saccheri thought that he had proved, not merely that the parallel postulate was true, but that it was a "primal verity" and, thus, that Euclid was correct in taking it as an "axiom". As implausible as this claim about Saccheri may seem, the passage on p. 237, lines 3--15, seems to admit of no other interpretation. Indeed, Emch takes it this way. (3) As has been noted by many others, Saccheri was fascinated, if not obsessed, by what may be called "reflexive indirect deductions", indirect deductions which show that a conclusion follows from given premises by a chain of reasoning beginning with the given premises augmented by the denial of the desired conclusion and ending with the conclusion itself. It is obvious, of course, that this is simply a species of ordinary indirect deduction; a conclusion follows from given premises if a contradiction is deducible from those given premises augmented by the denial of the conclusion---and it is immaterial whether the contradiction involves one of the premises, the denial of the conclusion, or even, as often happens, intermediate propositions distinct from the given premises and the denial of the conclusion. Saccheri seemed to think that a proposition proved in this way was deduced from its own denial and, thus, that its denial was self-contradictory (p. 207). Inference from this mistake to the idea that propositions proved in this way are "primal verities" would involve yet another confusion. The reviewer gratefully acknowledges extensive communication with his former doctoral students J. Gasser and M. Scanlan. ADDED 14 March 14, 2015: (1) Wikipedia reports that many of Saccheri's ideas have a precedent in the 11th Century Persian polymath Omar Khayyám's Discussion of Difficulties in Euclid, a fact ignored in most Western sources until recently. It is unclear whether Saccheri had access to this work in translation, or developed his ideas independently. (2) This book is another exemplification of the huge difference between indirect deduction and indirect reduction. Indirect deduction requires making an assumption that is inconsistent with the premises previously adopted. This means that the reasoner must perform a certain mental act of assuming a certain proposition. It case the premises are all known truths, indirect deduction—which would then be indirect proof—requires the reasoner to assume a falsehood. This fact has been noted by several prominent mathematicians including Hardy, Hilbert, and Tarski. Indirect reduction requires no new assumption. Indirect reduction is simply a transformation of an argument in one form into another argument in a different form. In an indirect reduction one proposition in the old premise set is replaced by the contradictory opposite of the old conclusion and the new conclusion becomes the contradictory opposite of the replaced premise. Roughly and schematically, P,Q/R becomes P,~R/~Q or ~R, Q/~P. Saccheri’s work involved indirect deduction not indirect reduction. (3) The distinction between indirect deduction and indirect reduction has largely slipped through the cracks, the cracks between medieval-oriented logic and modern-oriented logic. The medievalists have a heavy investment in reduction and, though they have heard of deduction, they think that deduction is a form of reduction, or vice versa, or in some cases they think that the word ‘deduction’ is the modern way of referring to reduction. The modernists have no interest in reduction, i.e. in the process of transforming one argument into another having exactly the same number of premises. Modern logicians, like Aristotle, are concerned with deducing a single proposition from a set of propositions. Some focus on deducing a single proposition from the null set—something difficult to relate to reduction. (shrink)

I’m going to argue for a set of restricted skeptical results: roughly put, we don’t know that fire engines are red, we don’t know that we sometimes have pains in our lower backs, we don’t know that John Rawls was kind, and we don’t even know that we believe any of those truths. However, people unfamiliar with philosophy and cognitive science do know all those things. The skeptical argument is traditional in form: here’s a skeptical hypothesis; you can’t epistemically neutralize (...) it, you have to be able to neutralize it to know P; so you don’t know P. But the skeptical hypotheses I plug into it are “real, live” scientific-philosophical hypotheses often thought to be actually true, unlike any of the outrageous traditional skeptical hypotheses (e.g., ‘You’re a brain in a vat’). So I call the resulting skepticism Live Skepticism. Notably, the Live Skeptic’s argument goes through even if we adopt the clever anti-skeptical fixes thought up in recent years such as reliabilism, relevant alternatives theory, contextualism, and the rejection of epistemic closure. Furthermore, the scope of Live Skepticism is bizarre: although we don’t know the simple facts noted above, many of us do know that there are black holes and other amazing facts. (shrink)

Marya Schechtman has raised a series of worries for the Psychological Continuity Theory of personal identity (PCT) stemming out of what Derek Parfit called the ‘Extreme Claim’. This is roughly the claim that theories like it are unable to explain the importance we attach to personal identity. In her recent Staying Alive (2014), she presents further arguments related to this and sets out a new narrative theory, the Person Life View (PLV), which she sees as solving the problems as well (...) as bringing other advantages over the PCT. I look over some of her earlier arguments and responses to them as a way in to the new issues and theory. I argue that the problems for the PCT and advantages that the PLV brings are all merely apparent, and present no reason for giving up the former for the latter. (shrink)

Kant’s project in ethics is to defend the conception of morality that he takes to be embedded in ordinary thought. The principal aims of his foundational works in ethics – the Groundwork of the Metaphysics of Morals and the Critique of Practical Reason – are to state the fundamental principle of morality, which he terms the “Categorical Imperative”, and then to give an account of its unconditional authority – why we should give moral requirements priority over non-moral reasons – by (...) grounding it in the nature of free rational agency. Roughly the principle of morality gets its authority from the fact that it is by acting from this principle that we exercise our free agency. In these works Kant develops a distinctive account of the content of moral requirement (which is filled out in his later work, The Metaphysics of Morals). According to one version of the Categorical Imperative, we determine what sorts of actions are permissible or required in various situations by asking whether a principle of action is rationally willed as universal law for agents with autonomy. A second version of the Categorical Imperative derives the content of morality from the principle that we are to respect “humanity”, or “rational nature”, as an “end in itself” and never merely as a means. “Humanity” is the capacity for autonomous rational choice, and it includes the capacity to act from one’s own judgment of what one has reason to do, to set ends for oneself, and to guide one’s actions by values one finds it reasonable to accept. To hold that this capacity is an end in itself is to claim that it has an absolute value – a value that Kant terms “dignity” – that sets limits on the.. (shrink)

The epidemiologist Bradford Hill famously argued that in epidemiology, specificity of association (roughly, the fact that an environmental or behavioral risk factor is associated with just one or at most a few medical outcomes) is strong evidence of causation. Prominent epidemiologists have dismissed Hill’s claim on the ground that it relies on a dubious `one-cause one effect’ model of disease causation. The paper examines this methodological controversy, and argues that specificity considerations do have a useful role to play in causal (...) inference in epidemiology. More precisely, I argue that specificity considerations help solve a pervasive inferential problem in contemporary epidemiology: the problem of determining whether an exposure-outcome correlation might be due to confounding by a social factor. This examination of specificity has interesting consequences for our understanding of the methodology of epidemiology. It highlights how the methodology of epidemiology relies on local tools designed to address specific inference problems peculiar to the discipline, and shows that observational causal inference in epidemiology can proceed with little prior knowledge of the causal structure of the phenomenon investigated. I also argue that specificity of association cannot (despite claims to the contrary) be entirely explained in terms of Woodward’s well-known concept of “one-to-one” causal specificity. This is because specificity as understood by epidemiologists depends on whether an exposure (or outcome) is associated with a `heterogeneous’ set of variables. This dimension of heterogeneity is not captured in Woodward’s notion, but is crucial for understanding the evidential import of specificity of association. (shrink)

The first sentence of NE I.2 has roughly the form: "If A [there is a universal end] and B, then D [this end will be the best good]". According to some commentators, Aristotle uses B to infer A; but then the sentence is fallacious. According to other commentators, Aristotle does not use B ; but then the sentence is bizarre. Contrary to both sets of commentators, I suggest that Aristotle uses B together with A to infer validly that there is (...) a non-instrumental – and thus unique – universal end. On this interpretation the above two problems disappear, but a subtler problem emerges: not-B does not entail C. (shrink)

According to moral testimony pessimists, the testimony of moral experts does not provide non-experts with normative reasons for belief. Moral testimony optimists hold that it does. We first aim to show that moral testimony optimism is, to the extent such things may be shown, the more natural view about moral testimony. Speaking roughly, the supposed discontinuity between the norms of moral beliefs and the norms of non-moral beliefs, on careful reflection, lacks the intuitive advantage that it is sometimes supposed to (...) have. Our second aim is to highlight the difference in the nature of the pragmatic reasons for belief that support moral testimony optimism and moral testimony pessimism, setting out more clearly the nature and magnitude of the challenge for the pessimist. (shrink)

Cardiotocography data uncertainty is a critical task for the classification in biomedical field. Constructing good and efficient classifier via machine learning algorithms is necessary to help doctors in diagnosing the state of fetus heart rate. *e proposed neutrosophic diagnostic system is an Interval Neutrosophic Rough Neural Network framework based on the backpropagation algorithm. It benefits from the advantages of neutrosophic set theory not only to improve the performance of rough neural networks but also to achieve a better performance (...) than the other algorithms. *e experimental results visualize the data using the boxplot for better understanding of attribute distribution. *e performance measurement of the confusion matrix for the proposed framework is 95.1, 94.95, 95.2, and 95.1 concerning accuracy rate, precision, recall, and F1-score, respectively. WEKA application is used to analyse cardiotocography data performance measurement of different algorithms, e.g., neural network, decision table, the nearest neighbor, and rough neural network. *e comparison with other algorithms shows that the proposed framework is both feasible and efficient classifier. Additionally, the receiver operation characteristic curve displays the proposed framework classifications of the pathologic, normal, and suspicious states by 0.93, 0.90, and 0.85 areas that are considered high and acceptable under the curve, respectively. Improving the performance measurements of the proposed framework by removing ineffective attributes via feature selection would be suitable advancement in the future. Moreover, the proposed framework can also be used in various real-life problems such as classification of coronavirus, social media, and satellite image. (shrink)

The chapter draws a very rough (and rather idiosyncratic) map of the terrain of the contemporary scene in the philosophy of language, as it was set out in the work of Frege, Russell and the early Wittgenstein – the presupposed common background, taught to beginners in the discipline, for the themes to be further explored from a present-day perspective in the rest of the book. The chapter outlines some core issues as they are presented in the insightful systematic articulation (...) of Frege’s and Russell’s themes in Wittgenstein’s Tractatus Logico-Philosophicus. Then it sums up the main issues, describes some contributions to them in Frege, Russell, Wittgenstein and other historical landmarks, and indicates how they are approached today, as presented in the book's chapters. The introduction concludes with a brief discussion of research methods and problems in the field. (shrink)

Inference to the Best Explanation, roughly put, appeals to the explanatory power of a theory or hypothesis (relative to some data set) as constituting epistemic justification for it. Inference to the Best Explanation (henceforth IBE) is a tool widely employed among all reasoners alike, from the empirical sciences to ordinary life. Philosophical discussions do not differ in the usualness of explanatory appeals of this kind during serious argument. Often enough, the appeal is dialectically blocked, as many of our epistemic peers (...) in philosophy offer reasons to be skeptical of IBE. Our aim with this monograph is to assess one worry that have been raised about this mode of inference: That explanatory power is not truth-conducive. We begin by discussing general features of inferences and then formulating IBE in detail. Afterward, we explicate and apply a canonical understanding of what an explanation is. This will lead to a certain understanding of explanatory power. We undergo a case study to defend the thesis that this kind of explanatory power is indeed epistemically irrelevant – unless, perhaps, when combined with other theoretical virtues. Our conclusion is that the measure what explanations are best requires taking other theoretical virtues into account, such as simplicity and unification. In this case, a complete assessment of IBE requires examining if, when, and how these alleged theoretical virtues are indeed truth-conducive. (shrink)