Fictional names present unique challenges for semantic theories of proper names, challenges strong enough to warrant an account of names different from the standard treatment. The theory developed in this paper is motivated by a puzzle that depends on four assumptions: our intuitive assessment of the truth values of certain sentences, the most straightforward treatment of their syntactic structure, semantic compositionality, and metaphysical scruples strong enough to rule out fictional entities, at least. It is shown that these four assumptions, taken (...) together, are inconsistent with referentialism, the common view that names are uniformly associated with ordinary individuals as their semantic value. Instead, the view presented here interprets names as context-sensitive expressions, associated in a context of utterance with a particular act of introduction, or dubbing, which is then used to determine their semantic value. Some dubbings are referential, which associate names with ordinary individuals as their semantic values; others are fictional, which associate names, instead, with sets of properties. Since the semantic values of names can be of different sorts, the semantic rule interpreting predication must be complex as well. In the body of the paper, I show how this new treatment of names allows us to solve our original puzzle. I defend the complexity of the semantic predication rule, and address additional worries about ontological commitment. (shrink)

MILLIANISM and DESCRIPTIVISM are without question the two most prominent views with respect to the semantics of proper names. However, debates between MILLIANS and DESCRIPTIVISTS have tended to focus on a fairly narrow set of linguistic data and an equally narrow set of problems, mainly how to solve with Frege's puzzle and how to guarantee rigidity. In this article, the author focuses on a set of data that has been given less attention in these debates—namely, so-called predicative uses, bound uses, (...) and shifted uses of names. The author first shows that these data points seem to favor a DESCRIPTIVIST view over a MILLIAN view, but the author then introduces an alternative view of names that not only provides a simple and elegant way of dealing with the data, but also retains rigidity without becoming subject to the problems raised by Frege's puzzle. This is the view that names are variables, also called VARIABILISM. (shrink)

Influential work on proper names, most centrally associated with Kripke (1980), has had a significant influence in the literature on singular thought. The dominant position among contemporary singularists is that we can think singular thoughts about any object we can refer to by name and that, given the range of cases in which it is possible to refer using a name, name use in fact enables singular thought about a name's referent. I call this the extended name-based thought thesis (extended-NBT). (...) This chapter outlines the reasoning and presumptions of theorists who adopt extended NBT, and also outlines a set of reasons to resist it. The piece is distinctive in approaching the question of the relation between names and singular thought by focusing on the function of names and what this function entails (or doesn’t) about the kinds of thoughts (singular or descriptive) we have when we use names to communicate. In short, thinking about the function of names tells against the claim that name-use enables singular thought. (shrink)

As he recalls in his book Naive Physics, Paolo Bozzi’s experiments on naïve or phenomenological physics were partly inspired by Aristotle’s spokesman Simplicio in Galileo’s Dialogue. Aristotle’s ‘naïve’ views of physical reality reflect the ways in which we are disposed perceptually to organize the physical reality we see. In what follows I want to apply this idea to the notion of a group, a term which I shall apply as an umbrella expression embracing ordinary visible collections (of pieces of fruit (...) in the fruit bowl), but also families, populations, kinds, categories, species and genera. I will try to determine to what extent we can understand what groups, in this broad sense, have in common and how they are distinguished from two sorts of entities with which they are standardly confused, namely sets and wholes. (shrink)

Abstract. On the Direct Reference thesis, proper names are what I call ‘genuine terms’, terms whose sole semantic contributions to the propositions expressed by their use are the terms’ semantic referents. But unless qualified, this thesis implies the false consequence that sentences containing names that fail to refer can never express true or false propositions. (Consider ‘The ancient Greeks worshipped Zeus’, for instance.) I suggest that while names are typically and fundamentally used as genuine terms, there is a small class (...) of names, which I call ‘descriptive names’, whose reference is fixed by commonly associated definite descriptions, and I also suggest that there is an idiom of natural language on which such names can be used as abbreviated definite descriptions in a limited set of sentential contexts, including (1) positive and negative existentials, (2) cognitive ascriptions, and (3) uses of names to talk about myth. Uses of empty descriptive names in such contexts can then be either true or false. Relying on Gregory Currie’s theory of truth in fiction, I also propose an idiom on which fictional names can be used as short for a certain type of description in talk about fiction. Along the way, I provide arguments that names are used as short for descriptions in substantive existential statements as well as in both metamythic and metafictive contexts. I also discuss and criticize alternative views of these matters, including the views of David Braun, Saul Kripke, Peter van Inwagen, and others. (shrink)

Standard approaches to proper names, based on Kripke's views, hold that the semantic values of expressions are (set-theoretic) functions from possible worlds to extensions and that names are rigid designators, i.e.\ that their values are \emph{constant} functions from worlds to entities. The difficulties with these approaches are well-known and in this paper we develop an alternative. Based on earlier work on a higher order logic that is \emph{truly intensional} in the sense that it does not validate the axiom scheme of (...) Extensionality, we develop a simple theory of names in which Kripke's intuitions concerning rigidity are accounted for, but the more unpalatable consequences of standard implementations of his theory are avoided. The logic uses Frege's distinction between sense and reference and while it accepts the rigidity of names it rejects the view that names have direct reference. Names have constant denotations across possible worlds, but the semantic value of a name is not determined by its denotation. (shrink)

We investigate an enrichment of the propositional modal language L with a "universal" modality ■ having semantics x ⊧ ■φ iff ∀y(y ⊧ φ), and a countable set of "names" - a special kind of propositional variables ranging over singleton sets of worlds. The obtained language ℒ $_{c}$ proves to have a great expressive power. It is equivalent with respect to modal definability to another enrichment ℒ(⍯) of ℒ, where ⍯ is an additional modality with the semantics x ⊧ (...) ⍯φ iff Vy(y ≠ x → y ⊧ φ). Model-theoretic characterizations of modal definability in these languages are obtained. Further we consider deductive systems in ℒ $_{c}$ . Strong completeness of the normal ℒ $_{c}$ logics is proved with respect to models in which all worlds are named. Every ℒ $_{c}$ -logic axiomatized by formulae containing only names (but not propositional variables) is proved to be strongly frame-complete. Problems concerning transfer of properties ([in]completeness, filtration, finite model property etc.) from ℒ to ℒ $_{c}$ are discussed. Finally, further perspectives for names in multimodal environment are briefly sketched. (shrink)

Frege’s rejection of singular reference to concepts is centrally implicated in his notorious paradox of the concept horse. I distinguish a number of claims in which that rejection might consist and detail the dialectical difficulties confronting the defense of several such claims. Arguably the least problematic such claim—that it is simply nonsense to say that a concept can be referred to with a singular term—has recently received a novel defense due to Robert Trueman. I set out Trueman’s argument for this (...) claim, identifying and remedying some omissions and errors of formulation therein. I then develop a response to the argument by showing, pace Trueman, that it is possible—and how it is possible—to express identities between objects and concepts. (shrink)

Controlling the names of places, environments, and species is one way in which settler colonial ontologies delimit the intelligibility of ecological relations, Indigenous peoples, and environmental injustices. To counter this, this article amplifies the voices of Native American scholars and foregrounds a philosophical account of Indigenous naming. First, I explore some central characteristics of Indigenous ontology, epistemic virtue, and ethical responsibility, setting the stage for how Native naming draws these elements together into a complete, robust philosophy. Then I point toward (...) leading but contingent principles of Native naming, foregrounding how Native names emerge from and create communities by situating (rather than individuating) the beings that they name within kinship structures, including human and nonhuman agents. Finally, I outline why and how Indigenous names and the knowledges they contain are crucial for both resisting settler violence and achieving environmental justice, not only for Native Americans, but for their entire animate communities. (shrink)

This dissertation sets out to answer the question ''What fixes the semantic values of context-sensitive referential terms—like names, demonstratives, and pronouns—in context?'' I argue that it is the speaker's intentions that play this role, as constrained by the conventions governing the use of particular sorts of referential terms. These conventions serve to filter the speaker's intentions for just those which meet these constraints on use, leaving only these filtered-for intentions as semantically relevant. By considering a wide range of cases, (...) including many involving confused and deceptive speakers, I argue that this 'constraint theory' provides a better account of linguistic reference than does any extant alternative, whether intentionalist or non-intentionalist. Along the way, I argue that semantics cannot depend on the reactions of idealized listeners, that speaker meaning is far less clear, and helpful, a notion than it is standardly taken to be, and that speakers needn't aim to be cooperative in order to fix the meaning of their terms in context. (shrink)

A wide variety of ontologies relevant to the biological and medical domains are available through the OBO Foundry portal, and their number is growing rapidly. Integration of these ontologies, while requiring considerable effort, is extremely desirable. However, heterogeneities in format and style pose serious obstacles to such integration. In particular, inconsistencies in naming conventions can impair the readability and navigability of ontology class hierarchies, and hinder their alignment and integration. While other sources of diversity are tremendously complex and challenging, agreeing (...) a set of common naming conventions is an achievable goal, particularly if those conventions are based on lessons drawn from pooled practical experience and surveys of community opinion. We summarize a review of existing naming conventions and highlight certain disadvantages with respect to general applicability in the biological domain. We also present the results of a survey carried out to establish which naming conventions are currently employed by OBO Foundry ontologies and to determine what their special requirements regarding the naming of entities might be. Lastly, we propose an initial set of typographic, syntactic and semantic conventions for labelling classes in OBO Foundry ontologies. Adherence to common naming conventions is more than just a matter of aesthetics. Such conventions provide guidance to ontology creators, help developers avoid flaws and inaccuracies when editing, and especially when interlinking, ontologies. Common naming conventions will also assist consumers of ontologies to more readily understand what meanings were intended by the authors of ontologies used in annotating bodies of data. (shrink)

As central as the method of forcing is within set theory, it has yet to be incorporated into the philosopher's toolbox. That strikes me as a shame, since it may well have important applications within philosophy. One barrier is that typical presentations of forcing are overly dry and technical and make it seem inherently bound up with its applications within set theory. The purpose of this note is to try to rectify this. In particular, I will explain how the method (...) of forcing can be seen as a way of constructing a certain kind of intensional model that philosophers are already interested in: namely, possibility models. (shrink)

From the apparently trivial problem of homonyms, I argue that proper names as they occur in natural languages cannot be characterised as strings of sounds or characters. This entails, first, that the proper names philosophers talk about are not physical entities, like strings, but abstractions that, second, may be better characterised as triples (s, m, C), where s is the string that conveys the meaning m in a set of contexts C. Third, the generality principle of compositionality may be put (...) into question, for apparently its converse holds in some cases. Finally, the prominence of context for determining the meaning expressed by a sign suggests a strong connection between proper names and indexicals. This connection has been largely overlooked by the analytic tradition, in spite that both proper names and indexicals have been among their hottest topics. This may be because the analytic literature about proper names has been decisively influenced by Frege’s work, which was better suited for formal languages. Izydora Dąmbska and Jerzy Pelc, with their semiotic background, were able to have a finer understanding of this quasi-indexical character of proper names. (shrink)

This paper contributes to the debate regarding the semantic type of singular referential names. According to one view, known as referentialism, names rigidly designate individuals (Kripke 1972, Abbott 2002, Leckie 2013, Jeshion 2015, Schoubye 2017). According to another view, known as predicativism, names designate properties of individuals (Burge 1973, Geurts 1997, Bach 2002, Elbourne 2005, Matushansky 2008, Fara 2015). Most predicativist accounts claim that bare names in English occur with a phonologically null determiner, a proposal that is based on languages (...) like Greek where names require a determiner in argument position. Novel data from both English and Greek show that names can be nonrigid designators under modal operators ("Aristotle may teach Socrates") and bound variables under quantifiers ("in every set of twins, Helen is a musician"), challenging referentialism. As for rigidity, one possible source of this phenomenon is the proprial article, a name-specific determiner found in Catalan and other languages that may be null in English and homophonous with the definite article in Greek (Ghomeshi and Massam 2009, Muñoz 2019, Izumi and Erickson 2021). While much further research is needed, the data suggest that the proper analysis of names is grounded in predicativism rather than referentialism. (shrink)

In this article, I survey some philosophical attitudes to talk concerning `the' universe of sets. I separate out four different strands of the debate, namely: (i) Universism, (ii) Multiversism, (iii) Potentialism, and (iv) Pluralism. I discuss standard arguments and counterarguments concerning the positions and some of the natural mathematical programmes that are suggested by the various views.

In the Western philosophical tradition, the earliest recognized paradoxes are attributed to Zeno of Elea (ca. 490–430 B.C.E.) and to Eubulides of Miletus (fl. 4th century B.C.E.). In the Chinese tradition, the earliest and most well-known paradoxes are ascribed to figures associated with the “School of Names” (ming jia 名家), a diverse group of Warring States (479–221 B.C.E.) thinkers who shared an interest in language, logic, and metaphysics. Their investigations led some of these thinkers to propound puzzling, paradoxical statements such (...) as “Today go to Yue but arrive yesterday,” “White horses are not horses,” and “Mountains and gorges are level.” Such paradoxes seem to have been intended to highlight fundamental features of reality or subtleties in semantic relations between words and things. Why were thinkers who advanced paradoxes categorized as a school of “names”? In ancient China, philosophical inquiry concerning language and logic focused on the use of “names” (ming 名, also terms, labels, or reputation) and their semantic relations to “stuff” (shi 實, also objects, features, events, or situations). Hence for classificatory purposes, second-century B.C.E. Han-dynasty archivists grouped together assorted pre-Han figures whose most prominent ideas seemed to concern the relation between names and stuff—or at least strange, unorthodox uses of names—and dubbed them a school or lineage (jia 家) devoted to the study of names. Unfortunately, both the label and the grouping are misleading. Historically, the school was a retrospective, taxonomical fiction. The figures classified under the “School of Names” never formed a distinct circle, movement, tradition, or line of influence devoted to any particular doctrine, theme, method, or way of life. Their intellectual interests overlapped at most only partly, while also overlapping extensively with those of texts associated with other schools or traditions, such as the Mohist “Dialectics” 墨辯, the Zhuangzi 莊子, the Xunzi 荀子, and the Annals of Lü Buwei 呂氏春秋. What perhaps does set the School of Names apart is that some (though not all) of the figures associated with it apparently delighted in propounding paradoxical or preposterous sayings, while the other texts just mentioned generally (though not exclusively) seek to explain and debunk such utterances. (shrink)

In this paper we propose an informal exposition of the structure approach in the philosophy of science. Scientific knowledge is here considered as a collection of scientific theories. Each scientific theory has logico-linguistic, model-representing, pragmatic-procedural, and problem-heuristical subsystems and a subsystem of ties. The pivotal methodological concept for the exact description of these subsystems is the named set. We also outline the possibility of applying the structure-nominative approach to certain problems in the philosophy of science.

Let f(1)=2, f(2)=4, and let f(n+1)=f(n)! for every integer n≥2. Edmund Landau's conjecture states that the set P(n^2+1) of primes of the form n^2+1 is infinite. Landau's conjecture implies the following unproven statement Φ: card(P(n^2+1))<ω ⇒ P(n^2+1)⊆[2,f(7)]. Let B denote the system of equations: {x_j!=x_k: i,k∈{1,...,9}}∪{x_i⋅x_j=x_k: i,j,k∈{1,...,9}}. The system of equations {x_1!=x_1, x_1 \cdot x_1=x_2, x_2!=x_3, x_3!=x_4, x_4!=x_5, x_5!=x_6, x_6!=x_7, x_7!=x_8, x_8!=x_9} has exactly two solutions in positive integers x_1,...,x_9, namely (1,...,1) and (f(1),...,f(9)). No known system S⊆B with a finite (...) number of solutions in positive integers x_1,...,x_9 has a solution (x_1,...,x_9)∈(N\{0})^9 satisfying max(x_1,...,x_9)>f(9). For every known system S⊆B, if the finiteness/infiniteness of the set {(x_1,...,x_9)∈(N\{0})^9: (x_1,...,x_9) solves S} is unknown, then the statement ∃ x_1,...,x_9∈N\{0} ((x_1,...,x_9) solves S)∧(max(x_1,...,x_9)>f(9)) remains unproven. Let Λ denote the statement: if the system of equations {x_2!=x_3, x_3!=x_4, x_5!=x_6, x_8!=x_9, x_1 \cdot x_1=x_2, x_3 \cdot x_5=x_6, x_4 \cdot x_8=x_9, x_5 \cdot x_7=x_8} has at most finitely many solutions in positive integers x_1,...,x_9, then each such solution (x_1,...,x_9) satisfies x_1,...,x_9≤f(9). The statement Λ is equivalent to the statement Φ. It heuristically justifies the statement Φ . This justification does not yield the finiteness/infiniteness of P(n^2+1). We present a new heuristic argument for the infiniteness of P(n^2+1), which is not based on the statement Φ. Algorithms always terminate. We explain the distinction between existing algorithms (i.e. algorithms whose existence is provable in ZFC) and known algorithms (i.e. algorithms whose definition is constructive and currently known). Assuming that the infiniteness of a set X⊆N is false or unproven, we define which elements of X are classified as known. No known set X⊆N satisfies Conditions (1)-(4) and is widely known in number theory or naturally defined, where this term has only informal meaning. *** (1) A known algorithm with no input returns an integer n satisfying card(X)<ω ⇒ X⊆(-∞,n]. (2) A known algorithm for every k∈N decides whether or not k∈X. (3) No known algorithm with no input returns the logical value of the statement card(X)=ω. (4) There are many elements of X and it is conjectured, though so far unproven, that X is infinite. (5) X is naturally defined. The infiniteness of X is false or unproven. X has the simplest definition among known sets Y⊆N with the same set of known elements. *** Conditions (2)-(5) hold for X=P(n^2+1). The statement Φ implies Condition (1) for X=P(n^2+1). The set X={n∈N: the interval [-1,n] contains more than 29.5+\frac{11!}{3n+1}⋅sin(n) primes of the form k!+1} satisfies Conditions (1)-(5) except the requirement that X is naturally defined. 501893∈X. Condition (1) holds with n=501893. card(X∩[0,501893])=159827. X∩[501894,∞)= {n∈N: the interval [-1,n] contains at least 30 primes of the form k!+1}. We present a table that shows satisfiable conjunctions of the form #(Condition 1) ∧ (Condition 2) ∧ #(Condition 3) ∧ (Condition 4) ∧ #(Condition 5), where # denotes the negation ¬ or the absence of any symbol. No set X⊆N will satisfy Conditions (1)-(4) forever, if for every algorithm with no input, at some future day, a computer will be able to execute this algorithm in 1 second or less. The physical limits of computation disprove this assumption. (shrink)

Persons with aphasia suffer from a loss of communication ability as a consequence of a brain injury. A small strand of research indicates effec- tiveness of dialogic interventions for communication development for persons with aphasia, but a vast amount of research studies shows its effectiveness for other target groups. In this paper, we describe the main parts of the hitherto technological development of an application named Dialogica that is (i) aimed at facilitating increased communicative participation in dialogic settings for (...) persons with aphasia and other communication disorders, (ii) based on comput- er game technology as well as on theory in dialogic education and argumenta- tion theory, and (iii) designed for mobile devices with larger screens. (shrink)

In the tradition stemming from Aristotle through Aquinas, rational decision making is seen as a complex structure of distinct phases in which reasoning and will are interconnected. Intention, deliberation, and decision are regarded as the fundamental steps of the decision-making process, in which an end is chosen, the means are specified, and a decision to act is made. Based on this Aristotelian theoretical background, we show how the decision-making process can be modeled as a net of several patterns of reasoning, (...) involving the classification of an action or state of affairs, its evaluation, the deliberation about the means to carry it out, and the decision. It is shown how argumentation theory can contribute to our understanding of the mechanisms involved by formalizing the steps of reasoning using argumentation schemes, and setting out the value-based criteria underlying the evaluation of an action. Representing each phase of the decision-making process as a separate scheme allows one to identify implicit premises and bring the roots of ethical dilemma to light along with the means to resolve them. In particular, we will show the role of framing and classification in triggering value-based reasoning, and how argumentation theory can be used to represent and uproot the grounds of possible manipulations. (shrink)

Philosophical counselling is typically conceptualised as a praxis going beyond academic and theoretical philosophy. However, two problems soon follow, namely the lack of agreed-upon methods and a substantial neglect of different philosophical traditions informing its practice. In this article, I propose reconceptualising philosophical counselling as a distinct method through which academic philosophy can be practised. This allows me to introduce an understanding of African philosophy, inspired by African philosophers Chimakonam and Serequeberhan, that might encourage the philosophical counsellor to render academic (...) philosophy more applicable to the counselee. Moreover, it allows for embodied voices talking from an embedded African lifeworld to create new and more relevant concepts that emerge from that lifeworld. (shrink)

It is standard in set theory to assume that Cantor's Theorem establishes that the continuum is an uncountable set. A challenge for this position comes from the observation that through forcing one can collapse any cardinal to the countable and that the continuum can be made arbitrarily large. In this paper, we present a different take on the relationship between Cantor's Theorem and extensions of universes, arguing that they can be seen as showing that every set is countable and that (...) the continuum is a proper class. We examine several principles based on maximality considerations in this framework, and show how some (namely Ordinal Inner Model Hypotheses) enable us to incorporate standard set theories (including ZFC with large cardinals added). We conclude that the systems considered raise questions concerning the foundational purposes of set theory. (shrink)

I set out and defend a view on indicative conditionals that I call “indexical relativism ”. The core of the view is that which proposition is expressed by an utterance of a conditional is a function of the speaker’s context and the assessor’s context. This implies a kind of relativism, namely that a single utterance may be correctly assessed as true by one assessor and false by another.

Russellianism is the view that the meaning of a proper name is the individual designated by the name. Together with other plausible assumptions, Russellianism entails the following: Sentences containing proper names express Russellian propositions, which involve the individual designated by the name as a direct constituent, and which can be represented as sets of individuals and properties. Moreover, as they occur in ordinary belief reports, ‘that’-clauses designate Russellian propositions. Such belief reports are true if and only if the subject (...) of the belief report bears the belief relation to the proposition designated by the ‘that’-clause. In defending this doctrine, some Russellians appeal to propositional guises, which, roughly speaking, are ways of grasping propositions. However, some Russellians don’t appeal to such entities. In this paper, I explain the varieties of Russellianism and then argue for Modest Russellianism: Believing a Russellian proposition is essentially mediated by guises, so that an agent can’t believe a Russellian proposition without standing in some appropriate relation to both the proposition and a guise. Nonetheless, guises don’t feature in the semantics of ordinary belief reports, so that an adequate account of the meaning of such belief reports needn’t invoke guises. (shrink)

The paper is Part III of the large research, dedicated to both the revision of the system of basic logical categories and the generalization of modern predicate logic to functional logic. We determinate and contrapose modern Fregean logistics and proposed by the author ultra-Fregean logistics, next we describe values and arguments of functions, arguments of relations, relations themselves, sets (classes), and subsets (subclasses) as derivative categories (concepts) of ultrafregean logistics. Logistics is a part of metalogic, independent of semantics. Fregean (...) logictics is a metalogical theory, based on the quadruple <particular (individual), predicate, equality, sequence>; it generates predicate logic. Ultrafregean logictics is based on the quadruple <particular, function, representation, sequence>, where the notion of a function is a generalization of the notion of a predicate and the notion of representation is a generalization of the notion of equality; this logictics generates functional logic. For the completely correct denotation of the functional values, we need the Churchian symbolics with parenthesis. Predicates are usually identified with relations. A relation is the derived and even definable category of ultra-Fregean logictics. Namely, relations are representations by functions (of one of their arguments). We show that Frege could really establish this definition and the notion (category) of representation but, unfortunately, rejected this course of thought. Next, we show that every n-ary relation can be resolved for some of its arguments via some (n-1)-ary function. A set, or class, is a derived and not definable category of ultra-Fregean logistics. The universal way to introduce the sets is Frege’s abstraction principle. We formulate this principle for functional logic and show that the notion of a set is quantified, so there is the dual existential notion of a nonempty subset, involved by the same abstraction principle. (shrink)

The article sets out a primitive ontology of the natural world in terms of primitive stuff—that is, stuff that has as such no physical properties at all—but that is not a bare substratum either, being individuated by metrical relations. We focus on quantum physics and employ identity-based Bohmian mechanics to illustrate this view, but point out that it applies all over physics. Properties then enter into the picture exclusively through the role that they play for the dynamics of the (...) primitive stuff. We show that such properties can be local, as well as holistic, and discuss two metaphysical options to conceive them, namely, Humeanism and modal realism in the guise of dispositionalism. 1 Introduction2 Primitive Ontology: Primitive Stuff3 The Physics of Matter as Primitive Stuff4 The Humean Best System Analysis of the Dynamical Variables5 Modal Realism about the Dynamical Variables6 Conclusion. (shrink)

In this paper, I describe and motivate a new species of mathematical structuralism, which I call Instrumental Nominalism about Set-Theoretic Structuralism. As the name suggests, this approach takes standard Set-Theoretic Structuralism of the sort championed by Bourbaki and removes its ontological commitments by taking an instrumental nominalist approach to that ontology of the sort described by Joseph Melia and Gideon Rosen. I argue that this avoids all of the problems that plague other versions of structuralism.

Neutrosophic set has been derived from a new branch of philosophy, namely Neutrosophy. Neutrosophic set is capable of dealing with uncertainty, indeterminacy and inconsistent information. Neutrosophic set approaches are suitable to modeling problems with uncertainty, indeterminacy and inconsistent information in which human knowledge is necessary, and human evaluation is needed. Neutrosophic set theory firstly proposed in 1998 by Florentin Smarandache, who also developed the concept of single valued neutrosophic set, oriented towards real world scientific and engineering applications. Since then, the (...) single valued neutrosophic set theory has been extensively studied in books and monographs introducing neutrosophic sets and its applications, by many authors around the world. (shrink)

Against the background of a conventionalist theory, and staged as a defense of a naturalistic notion of names and naming, the critique of language developed in Plato’s Cratylus does not only propose that human language, in contrast to the language of the gods, is bound to the realm of myth and lie. The dialogue also concludes by offering a set of reasons to think that knowledge of reality is not within the reach of our words. Interpretations of the dialogue’s long (...) etymological sections often neglect this critique and tend to end up with an overly optimistic assessment of the theory of language on offer. In the light of one of the dialogue’s central etymological accounts, Socrates’ etymology of the name Hermes, this paper discusses two recent and influential versions of such a view: David Sedley’s theory of onomatopoetic encapsulation and Franco Trivigno’s qualified referentialism. It argues that the complex relation between language and reality expressed in the Cratylus cannot be exhaustively captured by either of these theories because Plato considers all names to be semantically underdetermined until they are put to use. It suggests that Plato rather works with a functionalistic notion of names and naming, and that the dialogue’s account of natural and correct naming is to be understood in these terms. (shrink)

Neutrosophic set has been derived from a new branch of philosophy, namely Neutrosophy. Neutrosophic set is capable of dealing with uncertainty, indeterminacy and inconsistent information. Neutrosophic set approaches are suitable to modeling problems with uncertainty, indeterminacy and inconsistent information in which human knowledge is necessary, and human evaluation is needed. Neutrosophic set theory was firstly proposed in 1998 by Florentin Smarandache, who also developed the concept of single valued neutrosophic set, oriented towards real world scientific and engineering applications. Since then, (...) the single valued neutrosophic set theory has been extensively studied in books and monographs, the properties of neutrosophic sets and their applications, by many authors around the world. Also, an international journal - Neutrosophic Sets and Systems started its journey in 2013. Neutrosophic triplet was first defined in 2016 by Florentin Smarandache and Mumtaz Ali and they also introduced the neutrosophic triplet groups in the same year. For every element “x” in a neutrosophic triplet set A, there exist a neutral of “x” and an opposite of “x”. Also, neutral of “x” must be different from the classical neutral element. Therefore, the NT set is different from the classical set. Furthermore, a NT of “x” is showed by . This first volume collects original research and applications from different perspectives covering different areas of neutrosophic studies, such as decision making, Triplet, topology, and some theoretical papers. This volume contains three sections: NEUTROSOPHIC TRIPLET, DECISION MAKING, AND OTHER PAPERS. (shrink)

Michael Weisberg’s account of scientific models concentrates on the ways in which models are similar to their targets. He intends not merely to explain what similarity consists in, but also to capture similarity judgments made by scientists. In order to scrutinize whether his account fulfills this goal, I outline one common way in which scientists judge whether a model is similar enough to its target, namely maximum likelihood estimation method. Then I consider whether Weisberg’s account could capture the judgments involved (...) in this practice. I argue that his account fails for three reasons. First, his account is simply too abstract to capture what is going on in MLE. Second, it implies an atomistic conception of similarity, while MLE operates in a holistic manner. Third, Weisberg’s atomistic conception of similarity can be traced back to a problematic set-theoretic approach to the structure of models. Finally, I tentatively suggest how these problems might be solved by a holistic approach in which models and targets are compared in a non-set-theoretic fashion. (shrink)

In this paper, we set out to investigate the following question: if science relies heavily on induction, does philosophy of science rely heavily on induction as well? Using data mining and text analysis methods, we study a large corpus of philosophical texts mined from the JSTOR database (n = 14,199) in order to answer this question empirically. If philosophy of science relies heavily on induction, just as science supposedly does, then we would expect to find significantly more inductive arguments than (...) deductive arguments and abductive arguments in the published works of philosophers of science. Using indicator words to classify arguments by type (namely, deductive, inductive, and abductive arguments), we search through our corpus to find patterns of argumentation. Overall, the results of our study suggest that philosophers of science do rely on inductive inference. But induction may not be as foundational to philosophy of science as it is thought to be for science, given that philosophers of science make significantly more deductive arguments than inductive arguments. Interestingly, our results also suggest that philosophers of science do not rely on abductive arguments all that much, even though philosophers of science consider abduction to be a cornerstone of scientific methodology. (shrink)

The dispute between realists about color and anti-realists is actually a dispute about the nature of color properties. The disputants do not disagree over what material objects are like. Rather, they disagree over whether any of the uncontroversial facts about material objects--their powers to cause visual experiences, their dispositions to reflect incident light, their atomic makeup, and so on--amount to their having colors. The disagreement is thus about which properties colors are and, in particular, whether colors are any of the (...) properties in a particular set that is acknowledged on both sides to exhaust the properties of material objects. In a previous paper we discussed at length one attempt to identify colors with particular properties of material objects--namely, with their dispositions to cause visual experiences. Here we shall discuss a different and perhaps more influential version of realism, which says that the colors of material objects are microphysical properties of their surfaces. We shall call this theory physicalism about color (physicalism, for short). In order to evaluate this theory, however, we shall first have to clarify some methodological issues. Our hope is that we can bring some further clarity to the question of color realism, whether or not we succeed in our critique of the physicalists' answer. (shrink)

What are the conditions for fixing the reference of a proper name? Debate on this point has recently been rekindled by Scott Soames, Robin Jeshion, and others. In this paper, I sketch a new pragmatic approach to the justification of reference-fixing procedures, in opposition to accounts that insist on an invariant set of conditions for fixing reference across environments and linguistic communities. Comparing reference to other relations whose instances are introduced through "initiation" procedures, I outline a picture in which the (...) procedures that are successful for fixing the reference of proper names depend in part on regularities in the actual environment. (shrink)

So far, color-naming studies have relied on a rather limited set of color stimuli. Most importantly, stimuli have been largely limited to highly saturated colors. Because of this, little is known about how people categorize less saturated colors and, more generally, about the structure of color categories as they extend across all dimensions of color space. This article presents the results from a large Internet-based color-naming study that involved color stimuli ranging across all available chroma levels in Munsell space. These (...) results help answer such questions as how English speakers name a more complex color set, whether English speakers use so-called basic color terms (BCTs) more frequently for more saturated colors, how they use non-BCTs in comparison with BCTs, whether non-BCTs are highly consensual in less saturated parts of the solid, how deep inside color space basic color categories extend, or how they behave on the chroma dimension. (shrink)

In this paper, we set out to test empirically an idea that many philosophers find intuitive, namely that non-moral ignorance can exculpate. Many philosophers find it intuitive that moral agents are responsible only if they know the particular facts surrounding their action. Our results show that whether moral agents are aware of the facts surrounding their action does have an effect on people’s attributions of blame, regardless of the consequences or side effects of the agent’s actions. In general, it was (...) more likely that a situationally aware agent will be blamed for failing to perform the obligatory action than a situationally unaware agent. We also tested attributions of forgiveness in addition to attributions of blame. In general, it was less likely that a situationally aware agent will be forgiven for failing to perform the obligatory action than a situationally unaware agent. When the agent is situationally unaware, it is more likely that the agent will be forgiven than blamed. We argue that these results provide some empirical support for the hypothesis that there is something intuitive about the idea that non-moral ignorance can exculpate. (shrink)

In this thesis I argue against unrestricted mereological hybridism, the view that there are absolutely no constraints on wholes having parts from many different logical or ontological categories, an exemplar of which I take to be ‘mixed fusions’. These are composite entities which have parts from at least two different categories – the membered (as in classes) and the non-membered (as in individuals). As a result, mixed fusions can also be understood to represent a variety of cross-category summation such as (...) the abstract with the concrete, the physical with the non-physical, and the possible with the impossible, just to name a few. -/- Proposed by David Lewis (1991) alongside his defence of classical mereology (the major theory of parthood which permits such transcategorial composites through its principle of unrestricted composition) it is my contention that mixed fusions are an under-examined consequence of indiscriminate mereological fusion which harbour a multitude of complications. In my attempt to discern their substantive character, throughout this thesis I make a case study of mixed fusions and uncover several problematic consequences which I think follow from their most plausible assessment. -/- These include: (1) that mixed fusions’ probable membership relations may lead to dubious foundational loops in the mereological Universe, or (2) otherwise that mixed fusions oblige an implausible ontological priority of the mereological Universe as a whole; (3) that mixed fusions contradict the reductive account of set theory they are proposed within, by plausibly being seen to have the same members as their class parts, and (4) that mixed fusions therefore confound a mereological thesis of Composition as Identity, which some (including Lewis) use to support classical mereology – a consequence which is potentially self-defeating; (5) that mixed fusions as sums of abstract and concrete entities both subvert Lewis’s (1986) system of modal realism, while (6) also undermining less expansive theories of possible worlds; and finally, (7) that even where some of the foregoing is resisted, it remains implausible that mixed fusions are ontologically innocent, because their supposed distinction from their parts in this case ensures that they need to be counted as additional entities in one’s ontology. -/- To be clear, I do not advance a theory of mereological hybrid nihilism in the sense of denying all cases of transcategorial composition. (I only cover a few select instances of mereological hybridism via mixed fusions after all.) Rather, I deny that mereological hybridism is plausible in full generality, by demonstrating that any cases of it are at least limited by the constraints that I identify. This in turn vindicates a call for a restriction on parthood theories and composition principles which allow certain types of categorially mixed entities – including restricting classical mereology with its principle of unrestricted composition. -/- Although theories of parthood like the standard classical mereology are not ordinarily developed for the sake of mereological hybrids like mixed fusions, these and other transcategorial composites are still among the logical consequences of such parthood systems operating with sufficient generality. The significance of my thesis, then, comes from showcasing how some of these kinds of entities do not conform to the systems in which they are included as required, and hence I argue for the rejection of unrestricted mereological hybridism as well as any mereological principles which support it. (shrink)

Rather than set out an overarching view or take a stand on the debunking of morality tout court, in what follows I’ll explore a divide and conquer strategy. First, I will briefly sketch a debunking argument that, instead of targeting all of morality or human moral nature, has a more narrow focus—namely, the intuitive moral authority of disgust. The argument concludes that as vivid and compelling as they can be while one is in their grip, feelings of disgust should be (...) granted no power to justify moral judgments. Importantly, the argument is grounded in empirical advances concerning the character of the emotion itself. Next, I will step back and consider the argument’s general form. I then point to arguments that others have made that seem to share this form and selective focus, and comment on what such arguments do and do not presuppose. Finally, I locate the selective strategy with respect to other approaches moral debunking. (shrink)

This paper sets out to accomplish two goals. First, drawing on the Irish perspective, it reconceptualises one of the enduring legacy-based harms of epistemic colonisation, in this case, ‘linguicism’, in terms of ‘hermeneutical injustice’. Second, it argues that otherwise well-meaning attempts to combat epistemic colonisation through the inclusion of marginalised testimony can, in certain circumstances, lead to cases of ‘epistemic exploitation’, which, in turn, can result in ‘ontic burnout’. Both linguicism and epistemic exploitation, this paper theorizes, have the potential (...) to bring about ontic burnout. Here is the plan: to set the scene, section I briefly surveys some key arguments supporting the call for higher education institutions (HEIs) to engage in epistemic decolonising, focusing on the importance of striking a balance between two extremes: (i) abandoning all forms of Eurocentric/colonial knowledge through the elimination of inherited thinking and conceptual schemes which result from colonization, in particular, those which remain in our thinking “owing to inertia rather than to our own reflective choices” (Wiredu 2002, p.56); (ii) the other—pursuing a more positive project where we seek to, “exploit as much as is judicious the resources of indigenous conceptual schemes” (Wiredu 1996: p.136). From here, it moves to consider harms associated with a subset of ‘epistemicide’, that is, ‘linguicism’—a phenomenon where the language and culture of the colonizer become part of the ‘civilising project’ and, in more extreme cases of linguicide, forcibly replaces indigenous languages. Section II then explores the subtleties of harmful by-products deriving from ‘inclusion’, namely that which scholars refer to as ‘epistemic exploitation’. Situations where marginalised scholars are finally ‘at the table but still on the menu’ arise when privileged persons, compel marginalised knowers to educate them [and others] about the nature of their oppression (Berenstain, 2016). Habitual requests to turn themselves inside out for emancipatory principles give rise to a phenomenon known as ontic burnout (Dunne and Kotsonis, 2022, p.9)—“a form of dissociative explanatory fatigue culminating in oppressed persons engaging in a conscious or unconscious decoupling from their socially constructed identity, from the burdens and injustices associated with being a member of a certain social kind”. This harm is, I argue, rarely discussed in the literature and worthy of further analysis. (shrink)

This paper concerns would-be necessary connections between doxastic attitudes about the epistemic statuses of your doxastic attitudes, or ‘higher-order epistemic attitudes’, and the epistemic statuses of those doxastic attitudes. I will argue that, in some situations, it can be reasonable for a person to believe p and to suspend judgment about whether believing p is reasonable for her. This will set the stage for an account of the virtue of intellectual humility, on which humility is a matter of your higher-order (...) epistemic attitudes. Recent discussions in the epistemology of disagreement have assumed that the question of the proper response to disagreement about p concerns whether you ought to change your doxastic attitude towards p. My conclusion here suggests an alternative approach, on which the question of the proper response to disagreement about p concerns the proper doxastic attitude to adopt concerning the epistemic status of your doxastic attitude towards p.Send article to KindleTo send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.HIGHER-ORDER EPISTEMIC ATTITUDES AND INTELLECTUAL HUMILITYVolume 9, Issue 3Allan HazlettDOI: https://doi.org/10.1017/epi.2012.11Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. HIGHER-ORDER EPISTEMIC ATTITUDES AND INTELLECTUAL HUMILITYVolume 9, Issue 3Allan HazlettDOI: https://doi.org/10.1017/epi.2012.11Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. HIGHER-ORDER EPISTEMIC ATTITUDES AND INTELLECTUAL HUMILITYVolume 9, Issue 3Allan HazlettDOI: https://doi.org/10.1017/epi.2012.11Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)

The application of artificial intelligence (AI) to judicial decision-making has already begun in many jurisdictions around the world. While AI seems to promise greater fairness, access to justice, and legal certainty, issues of discrimination and transparency have emerged and put liberal democratic principles under pressure, most notably in the context of bail decisions. Despite this, there has been no systematic analysis of the risks to liberal democratic values from implementing AI into judicial decision-making. This article sets out to fill (...) this void by identifying and engaging with challenges arising from artificial judicial decision-making, focusing on three pillars of liberal democracy, namely equal treatment of citizens, transparency, and judicial independence. Methodologically, the work takes a comparative perspective between human and artificial decision-making, using the former as a normative benchmark to evaluate the latter. -/- The chapter first argues that AI that would improve on equal treatment of citizens has already been developed, but not yet adopted. Second, while the lack of transparency in AI decision-making poses severe risks which ought to be addressed, AI can also increase the transparency of options and trade-offs that policy makers face when considering the consequences of artificial judicial decision-making. Such transparency of options offers tremendous benefits from a democratic perspective. Third, the overall shift of power from human intuition to advanced AI may threaten judicial independence, and with it the separation of powers. While improvements regarding discrimination and transparency are available or on the horizon, it remains unclear how judicial independence can be protected, especially with the potential development of advanced artificial judicial intelligence (AAJI). Working out the political and legal infrastructure to reap the fruits of artificial judicial intelligence in a safe and stable manner should become a priority of future research in this area. (shrink)

Brian Leftow sets out to provide us with an account of Aquinas’s metaphysics of modality. Drawing on some important recent work, which is surely close to the spirit (if not quite the letter) of Aquinas’s thought, he frames his discussion in terms of “truthmakers”: what is it that makes true claims about possibility and necessity—that is to say, what serves as their ontological ground or ultimate metaphysical explanation? Leftow’s main thesis is that, for Aquinas, all true modal claims are (...) made true by one and the same thing—namely, God. Along the way, however, he also attempts to show that Aquinas’s endorsement of this thesis commits him to an objectionable form of Platonism about possible worlds. (shrink)

This essay answers two questions that continue to drive debate in moral and legal philosophy; namely, ‘Is a risk of harm a wrong?’ and ‘Is a risk of harm a harm?’. The essay’s central claim is that to risk harm can be both to wrong and to harm. This stands in contrast to the respective positions of Heidi Hurd and Stephen Perry, whose views represent prominent extremes in this debate about risks. The essay shows that there is at least one (...) category of risks – intentional impositions of risk on unconsenting agents – which can be both wrongful and harmful. The wrongfulness of these risks can be established when, on the balance of reasons, one ought not to impose them. The harmfulness of these risks can be established when the risks are shown to set back legitimate interests. In those cases where risks constitute a denial of the moral status of agents, risks set back agents’ interest in dignity. In these ways, the essay shows that there are instances when a risk can constitute both a wrong and a harm. (shrink)

This paper considers objections to Popper's views on scientific method. It is argued that criticism of Popper's views, developed by Kuhn, Feyerabend, and Lakatos, are not too damaging, although they do require that Popper's views be modified somewhat. It is argued that a much more serious criticism is that Popper has failed to provide us with any reason for holding that the methodological rules he advocates give us a better hope of realizing the aims of science than any other set (...) of rules. Consequently, Popper cannot adequately explain why we should value scientific theories more than other sorts of theories ; which in turn means that Popper fails to solve adequately his fundamental problem, namely the problem of demarcation. It is suggested that in order to get around this difficulty we need to take the search for explanations as a fundamental aim of science. (shrink)

In this paper, I argue that one approach to normative political theory, namely contextualism, can benefit from a specific kind of historical inquiry, namely genealogy, because the latter provides a solution to a deep-seated problem for the former. This problem consists in a lack of critical distance and originates from the justificatory role that contextualist approaches attribute to contextual facts. I compare two approaches to genealogical reconstruction, namely the historiographical method pioneered by Foucault and the hybrid method of pragmatic genealogy (...) as practiced by Bernard Williams, arguing that they both ensure an increase in critical distance while preserving contextualism’s distinctiveness. I also show, however, that only the latter provides normative action-guidance and can thus assist the contextualist theorist in the crucial task of discerning how far certain contextual facts deserve their justificatory role. I prove this point by showing how a pragmatic genealogy of the practice of punishment can inform the contextualist’s reflection about the role this practice should play in a transitional scenario, i.e. in the set of circumstances societies go through in the aftermath of large-scale violence and human rights violations. (shrink)

The semeiotic of Charles Sanders Peirce is irreducibly triadic, positing that a sign mediates between the object that determines it and the interpretant that it determines. He eventually holds that each sign has two objects and three interpretants, standardizing quickly on immediate and dynamical for the objects but experimenting with a variety of names for the interpretants. The two most prominent terminologies are immediate/dynamical/final and emotional/energetic/logical, and scholars have long debated how they are related to each other. This paper seeks (...) to shed new light on the matter by reviewing the numerous manuscript drafts where Peirce develops the latter nomenclature while attempting to introduce his pragmatism to a general audience. It then goes on to examine an additional set of interpretants, intentional/effectual/communicational, and shows that the three different trichotomies can be understood as complementary, rather than redundant or conflicting. (shrink)

According to Veritism, true belief is the sole fundamental epistemic value. Epistemologists often take Veritism to entail that all other epistemic items can only have value by standing in certain instrumental relations—namely, by tending to produce a high ratio of true to false beliefs or by being products of sources with this tendency. Yet many value theorists outside epistemology deny that all derivative value is grounded in instrumental relations to fundamental value. Veritists, I believe, can and should follow suit. After (...) setting the stage in §1, I explain in §2 why Veritism should not take an Instrumentalist form. Instrumentalist Veritism faces a generalized version of the swamping problem. But this problem undermines Instrumentalism, not Veritism: granting Instrumentalism, similar problems arise for any economical epistemic axiology. I show in §3 how Veritism can take a less narrow form and solve the swamping problem. After answering some objections in §4, I consider in §5 what some would regard as a less radical alternative solution and argue that it either fails or collapses into mine. I close in §6 by taking stock and re-evaluating the overall prospects for Veritism, suggesting that it is a highly promising epistemic axiology when divorced from Instrumentalism. (shrink)

Serial Endosymbiosis Theory, or SET, was conceived and developed by Lynn Margulis, to explain the greatest discontinuity in the history of life, the origin of eukaryotic cells. Some predictions of SET, namely the origin of mitochondria and chloroplasts, withstood the test of the most recent evidence from a variety of disciplines including phylogenetics, biochemistry, and cell biology. Even though some other predictions fared less well, SET remains a seminal theory in biology. In this paper, I focus on two aspects of (...) SET. First, using the concept of "universal symbiogenesis”, developed by Freeman Dyson to search for commonalities in astronomy and biology, I propose that SET can be extended beyond eukaryogenesis. The extension refers to the possibility that even prokaryotic organisms, themselves subject to the process of symbiogenesis in SET, could have emerged symbiotically. Second, I contrast a recent “viral eukaryogenesis” hypothesis, according to which the nucleus evolved from a complex DNA virus, with a view closer to SET, according to which the nucleus evolved through the interplay of the archaeal host, the eubacterial symbiont, and a non-LTR transposon, or telomerase. Viruses joined in later, through the process of viral endogenization, to shape eukaryotic chromosomes in the process of karyotype evolution. These two proposals based on SET are a testament to its longevity as a scientific theory. (shrink)

One challenge to the rationality of religious commitment has it that faith is unreasonable because it involves believing on insufficient evidence. However, this challenge and influential attempts to reply depend on assumptions about what it is to have faith that are open to question. I distinguish between three conceptions of faith each of which can claim some plausible grounding in the Judaeo-Christian tradition. Questions about the rationality or justification of religious commitment and the extent of compatibility with doubt look different (...) on accounts of faith in which trust or hope, rather than belief, are the primary basis for the commitments. On such accounts, while the person of faith has a stake in the truth of the content, practical as well as epistemic considerations can legitimately figure in normative appraisals. Trust and hope can be appropriate in situations of recognized risk, need not involve self-deception, and are compatible with the idea that one's purely epistemic opinions should be responsive only to evidence.Send article to KindleTo send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.Authentic faith and acknowledged risk: dissolving the problem of faith and reasonVolume 49, Issue 1DANIEL J. MCKAUGHAN DOI: https://doi.org/10.1017/S0034412512000200Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. Authentic faith and acknowledged risk: dissolving the problem of faith and reasonVolume 49, Issue 1DANIEL J. MCKAUGHAN DOI: https://doi.org/10.1017/S0034412512000200Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. Authentic faith and acknowledged risk: dissolving the problem of faith and reasonVolume 49, Issue 1DANIEL J. MCKAUGHAN DOI: https://doi.org/10.1017/S0034412512000200Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)

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)