The exploration of chemical periodicity over the past 250 years led to the development of the Periodic System of Elements and demonstrates the value of vague ideas that ignored early scientific anomalies and instead allowed for extended periods of normal science where new methodologies and concepts are developed. The basic chemical element provides this exploration with direction and explanation and has shown to be a central and historically adaptable concept for a theory of matter far from the reductionist frontier. (...) This is explored in the histories of Prout’s hypothesis, Döbereiner Triads, element inversions necessary when ordering chemical elements by atomic weights, and van den Broeck’s ad-hoc proposal to switch to nuclear charges instead. The development of more accurate methods to determine atomic weights, Rayleigh and Ramsey’s gas separation and analytical techniques, Moseley’s X-ray spectroscopy to identify chemical elements, and more recent accelerator-based cold fusion methods to create new elements at the end of the Periodic Table point to the importance of methodological development complementing conceptual advances. I propose to frame the crossover from physics to chemistry not as a loss of accuracy and precision but as an increased application of vague concepts such as similarity which permit classification. This approach provides epistemic flexibility to adapt to scientific anomalies and the continued growth of chemical compound space and rejects the Procrustean philosophy of reductionist physics. Furthermore, it establishes chemistry with its explanatory and operational autonomy epitomized by the periodic system of elements as a gateway to other experimental sciences. (shrink)

Sample chapter from H. Asgeirsson, The Nature and Value of Vagueness in the Law (Hart Publishing, 2020), in which I present and partially defend a version of what has come to be called the communicative-content theory of law. Book abstract: Lawmaking is – paradigmatically – a type of speech act: people make law by saying things. It is natural to think, therefore, that the content of the law is determined by what lawmakers communicate. However, what they communicate is (...) sometimes vague and, even when it is clear, the content itself is sometimes vague. The monograph examines the nature and consequences of these two linguistic sources of indeterminacy in the law with the aim of providing plausible answers to three related questions: In virtue of what is the law vague? What might be good about vague law? How should courts resolve cases of vagueness? (shrink)

It is common to think that what theory of linguistic vagueness is correct has implications for debates in philosophy of law. I disagree. I argue that the implications of particular theories of vagueness on substantive issues of legal theory and practice are less far-reaching than often thought. I focus on four putative implications discussed in the literature concerning (i) the value of vagueness in the law, (ii) the possibility and value of legal indeterminacy, (iii) the (...) possibility of the rule of law, and (iv) strong discretion. I conclude with some methodological remarks. Delineating questions about conventional meaning, the metaphysics/metasemantics of (legal) content determination, and norms of legal interpretation and judicial practice can motivate clearer answers and a more refined understanding of the space of overall theories of vagueness, interpretation, and law. (shrink)

Intuitionistic logic provides an elegant solution to the Sorites Paradox. Its acceptance has been hampered by two factors. First, the lack of an accepted semantics for languages containing vague terms has led even philosophers sympathetic to intuitionism to complain that no explanation has been given of why intuitionistic logic is the correct logic for such languages. Second, switching from classical to intuitionistic logic, while it may help with the Sorites, does not appear to offer any advantages when dealing with the (...) so-called paradoxes of higher-order vagueness. We offer a proposal that makes strides on both issues. We argue that the intuitionist’s characteristic rejection of any third alethic value alongside true and false is best elaborated by taking the normal modal system S4M to be the sentential logic of the operator ‘it is clearly the case that’. S4M opens the way to an account of higher-order vagueness which avoids the paradoxes that have been thought to infect the notion. S4M is one of the modal counterparts of the intuitionistic sentential calculus and we use this fact to explain why IPC is the correct sentential logic to use when reasoning with vague statements. We also show that our key results go through in an intuitionistic version of S4M. Finally, we deploy our analysis to reply to Timothy Williamson’s objections to intuitionistic treatments of vagueness. (shrink)

ABSTRACT: Recently a bold and admirable interpretation of Chrysippus’ position on the Sorites has been presented, suggesting that Chrysippus offered a solution to the Sorites by (i) taking an epistemicist position1 which (ii) made allowances for higher-order vagueness. In this paper I argue (i) that Chrysippus did not take an epistemicist position, but − if any − a non-epistemic one which denies truth-values to some cases in a Sorites-series, and (ii) that it is uncertain whether and how he made (...) allowances for higher-order vagueness, but if he did, this was not grounded on an epistemicist position. (shrink)

We take it that conscious acquaintance has great epistemic value. I develop a new problem for reductive physicalism concerning the epistemic value of acquaintance. The problem concerns "multiple candidate cases". (This develops a theme of my paper *The Significance Argument for the Irreducibility of Consciousness", Philosophical Perspectives 2017.).

You are morally permitted to save your friend at the expense of a few strangers, but not at the expense of very many. However, there seems no number of strangers that marks a precise upper bound here. Consequently, there are borderline cases of groups at the expense of which you are permitted to save your friend. This essay discusses the question of what explains ethical vagueness like this, arguing that there are interesting metaethical consequences of various explanations.

When the United States Supreme Court used the expression “with all deliberate speed” in the case Brown v. Board of Education, it did so presumably because of its vagueness. Many jurists, economists, linguists, and philosophers accordingly assume that vagueness can be strategically used to one’s advantage. Roy Sorensen has cast doubt on this assumption by strictly differentiating between vagueness and generality. Indeed, most arguments for the value of vagueness go through only when vagueness is (...) confused with generality. Sorensen claims that vagueness – correctly understood – has no function in law inter alia because judges lie systematically when confronted with borderline cases. I argue that both claims are wrong. First, judges do not need to resort to lying when adjudicating borderline cases, and even if they had to, this would not render vagueness useless. Secondly, vagueness has several important functions in law such as the reduction of decision costs and the delegation of power. Although many functions commonly attributed to the vagueness of legal expressions are in fact due to their generality or other semantic properties, vagueness has at least these two functions in law. (shrink)

Abstract: We propose a view of vagueness as a semantic property of names and predicates. All entities are crisp, on this semantic view, but there are, for each vague name, multiple portions of reality that are equally good candidates for being its referent, and, for each vague predicate, multiple classes of objects that are equally good candidates for being its extension. We provide a new formulation of these ideas in terms of a theory of granular partitions. We show that (...) this theory provides a general framework within which we can understand the relation between vague terms and concepts and the corresponding crisp portions of reality. We also sketch how it might be possible to formulate within this framework a theory of vagueness which dispenses with the notion of truth-value gaps and other artifacts of more familiar approaches. Central to our approach is the idea that judgments about reality involve in every case (1) a separation of reality into foreground and background of attention and (2) the feature of granularity. On this basis we attempt to show that even vague judgments made in naturally occurring contexts are not marked by truth-value indeterminacy. We distinguish, in addition to crisp granular partitions, also vague partitions, and reference partitions, and we explain the role of the latter in the context of judgments that involve vagueness. We conclude by showing how reference partitions provide an effective means by which judging subjects are able to temper the vagueness of their judgments by means of approximations. (shrink)

Some comparisons are hard. How should we think about such comparisons? According to John Broome, we should think about them in terms of vagueness. But the vagueness account has remained unpopular thus far. Here I try to bolster it by clarifying the notion of comparative vagueness that lies at its heart.

Two competing accounts of value incomparability have been put forward in the recent literature. According to the standard account, developed most famously by Joseph Raz, ‘incomparability’ means determinate failure of the three classic value relations ( better than , worse than , and equally good ): two value-bearers are incomparable with respect to a value V if and only if (i) it is false that x is better than y with respect to V , (ii) it (...) is false that x is worse than y with respect to V and (iii) it is false that x and y are equally good with respect to V . Most philosophers have followed Raz in adopting this account of incomparability. Recently, however, John Broome has advocated an alternative view, on which value incomparability is explained in terms of vagueness or indeterminacy . In this paper I aim to further Broome’s view in two ways. Firstly, I want to supply independent reasons for thinking that the phenomenon of value incomparability is indeed a matter of the indeterminacy inherent in our comparative predicates. Secondly, I attempt to defend Broome’s account by warding off several objections that worry him, due mainly to Erik Carlson and Ruth Chang. (shrink)

There are some who defend a view of vagueness according to which there are intrinsically vague objects or attributes in reality. Here, in contrast, we defend a view of vagueness as a semantic property of names and predicates. All entities are crisp, on this view, but there are, for each vague name, multiple portions of reality that are equally good candidates for being its referent, and, for each vague predicate, multiple classes of objects that are equally good candidates (...) for being its extension. We provide a new formulation of these ideas in terms of a theory of granular partitions. We show that this theory provides a general framework within which we can understand the relation between vague terms and concepts on the one hand and correlated portions of reality on the other. We also sketch how it might be possible to formulate within this framework a theory of vagueness which dispenses with the notion of truth-value gaps and other artifacts of more familiar approaches. (shrink)

Gareth Evans has argued that the existence of vague objects is logically precluded: The assumption that it is indeterminate whether some object a is identical to some object b leads to contradiction. I argue in reply that, although this is true—I thus defend Evans's argument, as he presents it—the existence of vague objects is not thereby precluded. An 'Indefinitist' need only hold that it is not logically required that every identity statement must have a determinate truth-value, not that some (...) such statements might actually fail to have a determinate truth-value. That makes Indefinitism a cousin of mathematical Intuitionism. (shrink)

This paper explores the interaction of well-motivated (if controversial) principles governing the probability conditionals, with accounts of what it is for a sentence to be indefinite. The conclusion can be played in a variety of ways. It could be regarded as a new reason to be suspicious of the intuitive data about the probability of conditionals; or, holding fixed the data, it could be used to give traction on the philosophical analysis of a contentious notion—indefiniteness. The paper outlines the various (...) options, and shows that ‘rejectionist’ theories of indefiniteness are incompatible with the results. Rejectionist theories include popular accounts such as supervaluationism, non-classical truth-value gap theories, and accounts of indeterminacy that centre on rejecting the law of excluded middle. An appendix compares the results obtained here with the ‘impossibility’ results descending from Lewis ( 1976 ). (shrink)

There is a trade-off between specificity and accuracy in existing models of belief. Descriptions of agents in the tripartite model, which recognizes only three doxastic attitudes—belief, disbelief, and suspension of judgment—are typically accurate, but not sufficiently specific. The orthodox Bayesian model, which requires real-valued credences, is perfectly specific, but often inaccurate: we often lack precise credences. I argue, first, that a popular attempt to fix the Bayesian model by using sets of functions is also inaccurate, since it requires us to (...) have interval-valued credences with perfectly precise endpoints. We can see this problem as analogous to the problem of higher order vagueness. Ultimately, I argue, the only way to avoid these problems is to endorse Insurmountable Unclassifiability. This principle has some surprising and radical consequences. For example, it entails that the trade-off between accuracy and specificity is in-principle unavoidable: sometimes it is simply impossible to characterize an agent’s doxastic state in a way that is both fully accurate and maximally specific. What we can do, however, is improve on both the tripartite and existing Bayesian models. I construct a new model of belief—the minimal model—that allows us to characterize agents with much greater specificity than the tripartite model, and yet which remains, unlike existing Bayesian models, perfectly accurate. (shrink)

هو أول كتاب باللغة العربية يعرض لمراحل وآليات تطور المنطق الرمزي المعاصر متعدد القيم بأنساقه المختلفة، مركزًا على مشكلة الغموض المعرفي للإنسان بأبعادها اللغوية والإبستمولوجية والأنطولوجية، والتي تتجلى – على سبيل المثال – فيما تحفل به الدراسات الفلسفية والمنطقية والعلمية من مفارقات تمثل تحديًا قويًا لثنائية الصدق والكذب الكلاسيكية، وكذلك في اكتشاف «هيزنبرج» لمبدأ اللايقين، وتأكيده وعلماء الكمّ على ضرورة التفسيرات الإحصائية في المجال دون الذري، الأمر الذي يؤكد عدم فعالية قانون الثالث المرفوع في التعامل مع معطيات الواقع الفعلي، واستحالة (...) مشروع إقامة لغة مثالية أو اصطناعية أو كاملة منطقيًا تتجاوز عيوب ونقائص اللغة العادية التي نفكر ونتعامل بها. وينتهي الكتاب إلى نتيجة مؤداها أن ما واجهه المنطق الكلاسيكي – ثنائي القيم – من مشكلات أدت إلى تطويره، لاسيما مشكلة الغموض، لابد وأن يواجهه بالمثل المنطق متعدد القيم، ذلك أن الغموض ظاهرة إبستمولوجية في المحل الأول، مردودها إلى الذات العارفة وقصور إمكاناتها الإدراكية والقياسية، لا إلى الوجود ذاته. وأننا حتى لو سمحنا لأية قضية منطقية بقيمة صدق ثالثة، أو بأكثر من قيمة تتوسط بين الصدق التام والكذب التام، فسوف تظل القضية – كتمثيل لغوي لإحدى وقائع العالم – صادقة أو كاذبة، سواء أدركنا ذلك أو لم ندركه، وذلك تأكيد لنزعة أفلاطون الواقعية القائلة بوجود أزلي وثابت للحقائق في عالم المثل، تحول دون معرفتنا الظنية بظلالها في عالم الحس المتغير. ويعني ذلك بعبارة أخرى أن الشك في قانون الثالث المرفوع هو إسقاط من الذات على الموضوع، مبعثه عدم اكتمال العملية المعرفية ومحدوديتها، وأن ظهور الأنساق المنطقية ذات القيم المتعددة ما هو إلا حلقة من حلقات العلاقة الجدلية اللامنتهية بين الإنسان والطبيعة، أو بيم ما هو مُدرك وما هو موجود بالفعل. والكتاب بصفة عامة هو أول كتاب باللغة العربية يعرض لأنساق المنطق متعدد القيم بعد مرحلة البرينكيبيا ماثيماتيكا. (shrink)

This paper means to demonstrate the theoretical-and- methodological potential of a particular pattern of thought about culture. Employing an end-means and absolute value plus concept of reality approach, the continuous model of culture aims to embrace from one holistic standpoint various concepts and debates of the modern human, social, and political sciences. The paper revisits the debates of fact versus value, nature versus culture, culture versus structure, agency versus structure, and economics versus politics and offers the concepts of (...) the rule of law, state capitalism, a dialectical model of progress, and interpretative qualitative research, as well as of cultural diffusion, autonomy, alienation, and individuality. This model distinguishes between the ideal-symbolical and the instrumental functions of culture, sees culture as being sewn from universal binaries, and provides a certain understanding of the cognitive function of a value judgment, with positivism so far vague about the topic. It, too, suggests an extra method for investigating culture : the comparative literature study of culture enables social science to view literature as its potential in-depth interviewee— a case for arguing for a certain conception of interdisciplinarity as well. In addition, it predicts that cultural particularism or individuality remains an essential factor of human existence. Analyzing the issue of Eurocentrism in social science, the model finds modernity ’s concept of reality to be involved in ” methodological ” intellectualistic reductionism, characterizing it since the empiricism/ rationalism origination. Systematically confusing the universal oppositions in a Eurocentric manner, intellectualism becomes a contributing factor in unfolding post- modernity. (shrink)

This article provides an intuitive semantic account of a new logic for comparisons (CL), in which atomic statements are assigned both a classical truth-value and a “how much” value or extension in the range [0, 1]. The truth-value of each comparison is determined by the extensions of its component sentences; the truth-value of each atomic depends on whether its extension matches a separate standard for its predicate; everything else is computed classically. CL is less radical than (...) Casari’s comparative logics, in that it does not allow for the formation of comparative statements out of truth-functional molecules. It is argued that CL provides a better analysis of predicate vagueness than classical logic, fuzzy logic or supervaluation theory. (shrink)

2nd edition. Many-valued logics are those logics that have more than the two classical truth values, to wit, true and false; in fact, they can have from three to infinitely many truth values. This property, together with truth-functionality, provides a powerful formalism to reason in settings where classical logic—as well as other non-classical logics—is of no avail. Indeed, originally motivated by philosophical concerns, these logics soon proved relevant for a plethora of applications ranging from switching theory to cognitive modeling, and (...) they are today in more demand than ever, due to the realization that inconsistency and vagueness in knowledge bases and information processes are not only inevitable and acceptable, but also perhaps welcome. The main modern applications of (any) logic are to be found in the digital computer, and we thus require the practical knowledge how to computerize—which also means automate—decisions (i.e. reasoning) in many-valued logics. This, in turn, necessitates a mathematical foundation for these logics. This book provides both these mathematical foundation and practical knowledge in a rigorous, yet accessible, text, while at the same time situating these logics in the context of the satisfiability problem (SAT) and automated deduction. The main text is complemented with a large selection of exercises, a plus for the reader wishing to not only learn about, but also do something with, many-valued logics. (shrink)

Species is one of the most basic concepts for almost all branches of biology, and it is also one of the most controversial concepts. An important aspect of "the species problem" is the question of "what the ontological status of species is". Traditionally, the answer to the issue about "the ontological status of species" is biological essentialism. Biological essentialism claims that species is a "natural kind", which argues that all and only the members of a species have a common essence. (...) Each species is separated from all others by a sharp discontinuity. However, Darwin's evolutionary theory argues that species are gradual, and the boundaries between species are vague. This view conflicts with biological essentialism. With the continuous transmission of Darwin's theories, biological essentialism was gradually abandoned by philosophers and scientists. In recent years, some philosophers try to resurrect biological essentialism by using new biological resources. Their theories are known as New Biological Essentialism, which mainly includes three different approaches: The Barcode Theory of DNA, Relational Essentialism, and HPC Theory. However, there are so many defects in their theories that they don't provide a successful defense for biological essentialism. By analyzing these theories, I try to point out that the dilemma and failure of new biological essentialism dues to the conflict between its ontological presupposition and modern biological practice. The conflict leads to the tension between essentialism and biology. Further, I argue that the best way to eliminate the tension between biology and essentialism is to regard species as “heterogeneous kinds”. This new understanding of species abandons biological essentialism at the ontological level but retains the value of epistemology of regarding the species as “natural kinds”. (shrink)

If the semantic value of predicates are, as Williamson assumes, properties, then epistemicism is immediate. Epistemicism fails, so also this properties view of predicates. I use examination of Williamsons position as a foil, showing that his two positive arguments for bivalence fail, and that his efforts to rescue epistemicism from obvious problems fail to the point of incoherence. In Part II I argue that, despite the properties view’s problems, it has an important role to play in combinatorial semantics. We (...) may separate the problem of how smallest parts of language get attached to the world from the problem of how those parts combine to form complex semantic values. For the latter problem we idealize and treat the smallest semantic values as properties (and referents). So doing functions to put to one side how the smallest parts get worldly attachment, a problem that would just get in the way of understanding the combinatorics. Attachment to the world has to be studied separately, and I review some of the options. As a bonus we see why, mostly, higher order vagueness is an artifact of taking properties as semantic values literally instead of as a simplifying idealization. (shrink)

Abstract: This paper is a response to Park Seungbae’s article, “Defence of Cultural Relativism”. Some of the typical criticisms of moral relativism are the following: moral relativism is erroneously committed to the principle of tolerance, which is a universal principle; there are a number of objective moral rules; a moral relativist must admit that Hitler was right, which is absurd; a moral relativist must deny, in the face of evidence, that moral progress is possible; and, since every individual belongs to (...) multiple cultures at once, the concept of moral relativism is vague. Park argues that such contentions do not affect moral relativism and that the moral relativist may respond that the value of tolerance, Hitler’s actions, and the concept of culture are themselves relative. In what follows, I show that Park’s adroit strategy is unsuc-cessful. Consequently, moral relativism is incoherent. (shrink)

Eugene Afonasin highlights the wealth of information on Pythagoras and his tradition preserved in Clement of Alexandria’s Stromateis and presents them against the background of Later Platonic philosophy. He  rst outlines what Clement knew about the Pythagoreans, and then what he made of the Pythagorean ideal and how he reinterpreted it for his own purposes. Clement clearly occupies an intermediate position between the Neopythagorean biographical tradition, rmly based on Nicomachus, and that more or less vague and difuse literary situation (...) which preceded the later developments, and in this respect is a very good source, worth studying for its own sake and as supplementary material which can help to understand the great Pythagorean synthesis attempted by Iamblichus. Developing their variants of the “exhortation to philosophy” (protreptikoi logoi), these men were much concerned with the educational value of the Pythagorean way of life rather than biographical circumstances, designed to place the ancient sage in the proper cultural context. (shrink)

Recent work within such disparate research areas as the epistemology of perception, theories of well-being, animal and medical ethics, the philosophy of consciousness, and theories of understanding in philosophy of science and epistemology has featured disconnected discussions of what is arguably a single underlying question: What is the value of consciousness? The purpose of this paper is to review some of this work and place it within a unified theoretical framework that makes contributions (and contributors) from these disparate areas (...) more visible to one another. (shrink)

This chapter explores the interrelation of religious pluralism and eschatology in the thought of John Hick and brings him into dialogue with the nineteenth-century Hindu mystic Sri Ramakrishna. According to Hick’s mature position, various world religions are equally capable of leading to salvation, since all the various religious conceptions of ultimate reality are different culturally conditioned ways of conceiving one and the same unknowable “Real an sich.” The contemporary Christian theologian S. Mark Heim convincingly argues that Hick’s theory of religious (...) pluralism is less pluralistic than it appears, since Hick conceives the final postmortem state of salvation in vague and monolithic terms, thereby failing to honor the variety of specific religious fulfillments taught by the world religions. Building on Heim’s critique of Hick, I make the case that Ramakrishna’s experientially grounded theory of religious pluralism has significant philosophical advantages over Hick’s theory, since Ramakrishna accepts the equal reality and value of both theistic and non-theistic forms of salvation. According to Ramakrishna’s expansive eschatology, some souls choose to “eat sugar” by remaining in eternal loving communion with the personal God, while other souls prefer to “become sugar” by merging their individuality in the impersonal Absolute. (shrink)

There is a variety of epistemic roles to which photographs are better suited than non-photographic pictures. Photographs provide more compelling evidence of the existence of the scenes they depict than non-photographic pictures. They are also better sources of information about features of those scenes that are easily overlooked. This chapter examines several different attempts to explain the distinctive epistemic value of photographs, and argues that none is adequate. It then proposes an alternative explanation of their epistemic value. The (...) chapter argues that photographs play the epistemic roles they do because they are typically rich sources of depictively encoded information about the scenes they depict, and reliable depictive representations of those scenes. It then explains why photographs differ from non-photographic pictures in both respects. (shrink)

This paper explores what the epistemic account of vagueness means for theories of legal interpretation. The thesis of epistemicism is that vague statements are true or false even though it is impossible to know which. I argue that if epistemicism is accepted within the domain of the law, then the following three conditions must be satisfied: Interpretative reasoning within the law must adhere to the principle of bivalence and the law of excluded middle, interpretative reasoning within the law must (...) construe vague statements as an epistemic phenomenon, and epistemicism must be expanded to include normative considerations in order to account for legal theories that are consistent with the first two conditions. The first two conditions are internal to a particular theory of legal interpretation, while the third condition is external to a particular theory of legal interpretation. My conclusion shows that there are legal theories that are internally consistent with the fundamental features of epistemicism. However, within the domain of law—and specifically in the case of legal theories that are internally consistent with epistemicism—I show that vagueness cannot be explained simply by our ignorance of the meaning and use of vague expressions. Rather, epistemicism must also account for ignorance of the requisite normative considerations in legal theories with which it is otherwise consistent. (shrink)

This paper develops a novel problem for representationalism (also known as "intentionalism"), a popular contemporary account of perception. We argue that representationalism is incompatible with supervaluationism, the leading contemporary account of vagueness. The problem generalizes to naive realism and related views, which are also incompatible with supervaluationism.

Neosentimentalist accounts of value need an explanation of which of the sentiments they discuss are pro-attitudes, which attitudes are con-attitudes, and why. I argue that this project has long been neglected in the philosophical literature, even by those who make extensive use of the distinction between pro- and con-attitudes. Using the attitudes of awe and respect as exemplars, I argue that it is not at all clear what if anything makes these attitudes pro-attitudes. I conclude that neither our intuitive (...) sense of the distinction nor the vague accounts of it that exist in the philosophical literature are especially helpful in sorting out the hard cases. What is needed is a more explicit and thorough account of what the valence of our attitudes consists in. (shrink)

In this article, I cast doubt on an apparent truism, namely, that if evidence is available for gathering and use at a negligible cost, then it’s always instrumentally rational for us to gather that evidence and use it for making decisions. Call this ‘value of information’ (VOI). I show that VOI conflicts with two other plausible theses. The first is the view that an agent’s evidence can entail non-trivial propositions about the external world. The second is the view that (...) epistemic rationality requires us to update our credences by conditionalization. These two theses, given some plausible assumptions, make room for rationally biased inquiries where VOI fails. I go on to argue that this is bad news for defenders of VOI. (shrink)

When considering the social valuation of a life-year, there is a conflict between two basic intuitions: on the one hand, the intuition of universality, according to which the value of an additional life-year should be universal, and, as such, should be invariant to the context considered; on the other hand, the intuition of complementarity, according to which the value of a life-year should depend on what this extra-life-year allows for, and, hence, on the quality of that life-year, because (...) the quantity of life and the quality of life are complement to each other. This paper proposes three distinct accounts of the intuition of universality, and shows that those accounts either conflict with a basic monotonicity property, or lead to indifference with respect to how life-years are distributed within the population. Those results support the abandon of the intuition of universality. But abandoning the intuition of universality does not prevent a social evaluator from giving priority, when allocating life-years, to individuals with the lowest quality of life. (shrink)

Schiffer has given an argument against supervaluationist accounts of vagueness, based on reports of vague contents. Suppose that Al tells Bob ‘Ben was there’, pointing to a certain place, and later Bob says, ‘Al said that Ben was there’, pointing in the same direction. According to supervaluationist semantics, Schiffer contends, both Al’s and Bob’s utterances of ‘there’ indeterminately refer to myriad precise regions of space; Al’s utterance is true just in case Ben was in any of those precisely bounded (...) regions of space, and Bob’s is true just in case Al said of each of them that it is where Ben was. However, while the supervaluationist truth-conditions for Al’s utterance might be satisfied, those for Bob’s cannot; for Al didn’t say, of any of those precisely delimited regions of space, that it is where Ben was. In an earlier version of the material presented here (García-Carpintero 2000) I replied to Schiffer’s argument that supervaluationism has an independently well-motivated defense. The response is essentially based on the point that the occurrence of ‘there’ in Bob’s utterance (and of ‘tall’ in Wright’s argument) occurs in indirect discourse, and supervaluationists may allow that it shifts its referent there. Schiffer’s reply to this response shows that it was not made sufficiently clearly. In this paper I will try to improve on that score. In his more recent reply, Schiffer (2000b, 325) dismisses a proposal like the one I will make, mainly because it “undermines … a leading virtue of supervaluationism … its implication that vagueness is … not a feature of the world.” I will argue that my reply does not undermine the fundamental contentions of the supervaluationist account. (shrink)

In epistemology, the concept of knowledge is of distinctive interest. This fact is also reflected in the discussion of epistemic value, which focuses to a large extend on the value problem of knowledge. This discussion suggests that knowledge has an outstanding value among epistemic standings because its value exceeds the value of its constitutive parts. I will argue that the value of knowledge is not outstanding by presenting epistemic standings of checking, transferring knowledge, and (...) proving in court, whose values exceed the value of knowledge in certain contexts. Moreover, the values of these other epistemic standings do not always rely on the value of knowledge. In terms of value, knowledge is not an outstanding epistemic concept. Hence, in terms of value we cannot find support for the privileged position that knowledge enjoys in epistemology. (shrink)

Epistemic peer disagreement raises interesting questions, both in epistemology and in philosophy of science. When is it reasonable to defer to the opinion of others, and when should we hold fast to our original beliefs? What can we learn from the fact that an epistemic peer disagrees with us? A question that has received relatively little attention in these debates is the value of epistemic peer disagreement—can it help us to further epistemic goals, and, if so, how? We investigate (...) this through a recent case in paleoanthropology: the debate on the taxonomic status of Homo floresiensis remains unresolved, with some authors arguing the fossils represent a novel hominin species, and others claiming that they are Homo sapiens with congenital growth disorders. Our examination of this case in the recent history of science provides insights into the value of peer disagreement, indicating that it is especially valuable if one does not straightaway defer to a peer’s conclusions, but nevertheless remains open to a peer’s evidence and arguments. (shrink)

Written as a comment on Crispin Wright's "Vagueness: A Fifth Column Approach", this paper defends a form of supervaluationism against Wright's criticisms. Along the way, however, it takes up the question what is really wrong with Epistemicism, how the appeal of the Sorities ought properly to be understood, and why Contextualist accounts of vagueness won't do.

During the last couple of decades, several attempts have been made to come up with a theory that can handle the various semantic, logical and philosophical problems raised by the vagueness of natural languages. One of the most influential ideas that have come into fashion in recent years is the idea that vagueness should be analysed as a form of context sensitivity. Such contextualist theories of vagueness have gained some popularity, but many philosophers have remained sceptical of (...) the prospects of finding a tenable contextualist solution to the problems of vagueness. This paper provides an introduction to the most popular contextualist accounts, and a discussion of some of the most important arguments for and against them. (shrink)

The aim of this dissertation is to offer and defend a correspondence theory of truth. I begin by critically examining the coherence, pragmatic, simple, redundancy, disquotational, minimal, and prosentential theories of truth. Special attention is paid to several versions of disquotationalism, whose plausibility has led to its fairly constant support since the pioneering work of Alfred Tarski, through that by W. V. Quine, and recently in the work of Paul Horwich. I argue that none of these theories meets the correspondence (...) intuition---that a true sentence or proposition in some way corresponds to reality---despite the explicit claims by each to capture this intuition. I distinguish six versions of the correspondence theory, and defend two against traditional objections, standardly taken as decisive against them, and show, plainly, that these two theories capture the correspondence intuition. Due to the importance of meeting this intuition, only these two theories stands a chance of being a satisfactory theory of truth. I argue that the version of the correspondence theory incorporating a simple semantic representation relation is preferable to its rival, for which the representation relation is complex. I present and argue for a novel version of this correspondence theory according to which truth is a correspondence property sensitive to semantic context. One consequence of this context-sensitivity is that an ungrounded sentence does not express a proposition. In addition to accounting for the similarity between the Liar and Truth-Teller sentences, this theory of truth is immune to the Liar Paradox, including empirical versions. It is argued that the Liar Paradox is devastating to all of the other theories above, and even formal theories of truth designed to solve it, such as the revision and vagueness theories. Customized versions of the Liar Paradox besetting this theory are handled by its context-sensitivity, and by enforcing the distinction between truth and truth value. This same pair of considerations also yields solutions to Lob's Paradox and Grelling's Paradox. Arguments similar to those given to defend this correspondence theory show that with one minor alteration, Kripke's fixed point theory may be used to model this correspondence notion of truth. (shrink)

In his article “Issues of Pragmaticism” published in 1905, in The Monist, Charles S. Peirce complains that “Logicians have been at fault in giving Vagueness the go-by, so far as not even to analyze it.” That same year, occupying himself with the consequences of “Critical commonsensism,” he affirmed, “I have worked out the logic of vagueness with something like completeness,” a statement that causes the majority of the commentators on his work, including the editors of the Collected Papers (...) to ask where this logic is to be found. The fever for finding Peirce's manuscripts is fed by the hope of some researchers of discovering the logic of vagueness, a hope that has grown since Carolyn Eisele's publication of his mathematical works. Others - and I count myself among them - believe that in reality this is a matter of something already known. That is, they interpret the affirmation ending the paragraph of reproach addressed to logicians, “The present writer has done his best to work out the Stechiology, Critic, and Methodeutik of the subject,” as a tripartite semiotic of the vague, still limited, according to Peirce's older works, to symbols, that is, to the signs of natural language examined from the perspective of logic. (shrink)

Many seem to think that AI-induced responsibility gaps are morally bad and therefore ought to be avoided. We argue, by contrast, that there is at least a pro tanto reason to welcome responsibility gaps. The central reason is that it can be bad for people to be responsible for wrongdoing. This, we argue, gives us one reason to prefer automated decision-making over human decision-making, especially in contexts where the risks of wrongdoing are high. While we are not the first to (...) suggest that responsibility gaps should sometimes be welcomed, our argument is novel. Others have argued that responsibility gaps should sometimes be welcomed because they can reduce or eliminate the psychological burdens caused by tragic moral choice-situations. By contrast, our argument explains why responsibility gaps should sometimes be welcomed even in the absence of tragic moral choice-situations, and even in the absence of psychological burdens. (shrink)

We generally accept that medicine’s conceptual and ethical foundations are grounded in recognition of personhood. With patients in vegetative state, however, we’ve understood that the ethical implications of phenomenal consciousness are distinct from those of personhood. This suggests a need to reconsider medicine’s foundations. What is the role for recognition of consciousness (rather than personhood) in grounding the moral value of medicine and the specific demands of clinical ethics? I suggest that, according to holism, the moral value of (...) medicine is secured when conscious states are recognized in everyday medical science. Moreover, consciousness fully motivates traditional principles of clinical ethics if we understand respect for autonomy as respect for the dominion of an experiencer in the private, inescapable realm of bodily experience. When medicine’s foundations are grounded in recognition of consciousness, we understand how patients fully command respect even when they lack capacity to exercise their bodily dominion through decision-making. (shrink)

I reconstruct the notion of significance [_Sinnhaftigkeit_] in the later Husserl, with attention to his conceptions of judgment and transcendental logic. My analysis is motivated by the idea that an account of significance can help to connect analytic, Anglo-American conceptions of meaning as a precise, law-governed phenomenon investigated via linguistic analysis and Continental European conceptions of meaning in a broader “existential” sense. I argue that Husserl’s later work points to a transcendental-logical conception of a founding level of _significance_ [_Sinnhaftigkeit_] prior (...) to language, and that this conception meets characteristically analytic demands for precision and governance by logical constraints. At the same time, since it is based in descriptions of perceptual intentionality at the level of essential possibility, it leaves room for an account of meaning as a partially undetermined phenomenon of lived experience, and not just of our language and concepts, and thereby meets the characteristically Continental demand to take at face value meaning’s vagueness and indeterminacy in everyday human life. (shrink)

Fine (2017) proposes a new logic of vagueness, CL, that promises to provide both a solution to the sorites paradox and a way to avoid the impossibility result from Fine (2008). The present paper presents a challenge to his new theory of vagueness. I argue that the possibility theorem stated in Fine (2017), as well as his solution to the sorites paradox, fail in certain reasonable extensions of the language of CL. More specifically, I show that if we (...) extend the language with any negation operator that obeys reductio ad absurdum, we can prove a new impossibility result that makes the kind of indeterminacy that Fine takes to be a hallmark of vagueness impossible. I show that such negation operators can be conservatively added to CL and examine some of the philosophical consequences of this result. Moreover, I demonstrate that we can define a particular negation operator that behaves exactly like intuitionistic negation in a natural and unobjectionable propositionally quantified extension of CL. Since intuitionistic negation obeys reductio, the new impossibility result holds in this propositionally quantified extension of CL. In addition, the sorites paradox resurfaces for the new negation. (shrink)

Abstract: Knowledge requires more than mere true belief, and we also tend to think it is more valuable. I explain the added value that knowledge contributes if its extra ingredient beyond true belief is tracking . I show that the tracking conditions are the unique conditions on knowledge that achieve for those who fulfill them a strict Nash Equilibrium and an Evolutionarily Stable Strategy in what I call the True Belief Game. The added value of these properties, intuitively, (...) includes preparedness and an expectation of survival advantage. On this view knowledge is valuable not because knowledge persists but because it makes the bearer more likely to maintain an appropriate belief state—possibly nonbelief—through time and changing circumstances. When Socrates concluded that knowledge of the road to Larissa was no more valuable than true belief for the purpose of getting to Larissa, he did not take into account that one might want to be prepared for a possible meeting with a misleading sophist along the way, or for the possibility of road work. (shrink)

The value of up-hill skiing is double, it is first a sport and artistic expression, second it incorporates functional dependencies related to the natural obstacles which the individual aims to overcome. On the artistic side, M. Dufrenne shows the importance of living movement in dance, and we can compare puppets with dancers in order to grasp the lack of intentional spiritual qualities in the former. The expressivity of dance, as for, Chi Gong, ice skating or ski mountaineering is a (...) particular innocence and lightness which is called grace. It is life without the burden of worries. Grace, in slow progression uphill on snow, is as dance for Dufrenne, it has the most central and specific aesthetical quality of life. Others compared dance to a landscape, a landscape is for the sight, what dance is for life, a symbolical space, different from a usual space, where utility and dependency are present. A mountain can be a space of experience of natural beauty. Aesthetical qualities can be closely related to function related qualities as when a climber needs to adjust his movements to the natural convex inclination of the rocks, and avoid slippery forms of inclination, present on the other side of the mountain. The natural object, the quality of the snow or the rock differ from the aesthetical quality of the style of ascent by the absence of neutralization of the object, in case of a purely instrumental approach. On the contrary, grace in the rhythm of the progression of ski climbers needs a difference of attitude, which is not only proper to the playing, and delimited by the conditions of that play, but as a contingency driven attitude, without signification as radical alterity, without any finality. First ascent of the Matterhorn succeeded from the Swiss side, and not from the Italian side because of the different inclination of the rock on both sides. Grace in dance as in martial art or mountaineering is allowing to perceive an autonomy of the expression, as the truth of the perceived object, it puts away a cognitive and practical orientation and replaces it by a new meaning as movement in the whole set of movements done by the climber. This replacement of the functional expression resembles that operated by the painter who chooses a color in the whole set of colors in a painting, or a shape in the whole set of possible existing shapes. -/- Ref. Dufrenne, Mikel, (1989): The Phenomenology of Aesthetic Experience. Studies in Phenomenology and Existential Philosophy, trans. by Edward S. Casey, 1st publ. in 1953, Evanston: Northwestern University Press. (shrink)

Much attention has been given to the question of ontic vagueness, and the issues usually center around whether certain paradigmatically concrete entities – cats, clouds, mountains, etc. – are vague in the sense of having indeterminate spatial boundaries. In this paper, however, I wish to focus on a way in which some abstracta seem to be locationally vague. To begin, I will briefly cover some territory already covered regarding certain types of “traditional” abstracta and the ways they are currently (...) alleged to be vague. I then wish to discuss two types of “nontraditional” abstracta and the sense in which I think some of these objects are locationally vague. I will next reexamine some of the traditional abstracta and discuss whether any of these objects are locationally vague in the novel way suggested for the nontraditional sorts. I’ll finish by discussing objections, and conclude with some remarks about characterizing the abstract/concrete distinction. (shrink)

Does the ethical value of a work of art ever contribute to its aesthetic value? I argue that when conventionally interpreted as a request for a conceptual analysis the answer to this question is indeterminate. I then propose a different interpretation of the question on which it is understood as a substantial and normative question internal to the practice of aesthetic criticism.

The dissertation has two parts, each dealing with a problem, namely: 1) What is the most adequate account of fuzziness -the so-called phenomenon of vagueness?, and 2) what is the most plausible solution to the sorites, or heap paradox? I will try to show that fuzzy properties are those which are gradual, amenable to be possessed in a greater or smaller extent. Acknowledgement of degrees in the instantiation of a property allows for a gradual transition from one opposite to (...) the other, each intermediate stage constituting an overlap in certain proportion of both contraries. Hence, degrees in the possession of a property give rise to simple contradictions. The reason why I have chosen those two questions is that they provide the main philosophical motivation for a particular brand of an infinite valued and paraconsistent logic. I will claim that Classical logic (CL) is not adequate to handle fuzzy situations, and, being deficient, is in need of being expanded to make room for degrees of truth and weak contradictions. One can hardly deny the importance of the debate, since what is ultimately at stake is what the limits of truth, rationality, intelligibility and possibility are. The main disciplines within which the research moves are the philosophy of language, philosophy of logic, and ontology. (shrink)

(for Adam Morton's half) I argue that if we take the values of persons to be ordered in a way that allows incomparability, then the problems Broome raises have easy solutions. In particular we can maintain that creating people is morally neutral while killing them has a negative value.

In this paper, I will assert that reflective performance produces something that is epistemically valuable. My argument depends on us stepping back from the scenario in which the dispute about internalism and externalism about knowledge and justification have developed over recent decades, in order to begin to consider certain, so far little explored, skeptical dialectic challenges. These are skeptical challenges in which individuals are challenged to evaluate and judge whether or not their beliefs are justified. As a rule, a person (...) is presented with reasons to suspect the limitations of their subjective perspective about the evidence and reasons that dispose them to believe. In dialectical challenges between epistemic peers, both recognize that they are not in a better position than their interlocutor to believe. In this context, to continue the dialogue requires a critical reflective examination of their initial beliefs (with their evidence and reasons) and, in the end, the achievement of epistemic change: the person must improve, expand, deepen, better understand, guarantee, confirm, renounce, or suspend their judgment etc. In this sense, reflection is understood as a performance, an activity in which the person examines the evidence, content and reliability of their own beliefs. This performance may lead to different results, but if someone is capable of critically reflecting on their own beliefs in skeptical-dialectic contexts, this is a positive thing, whatever the result – contrary to people who, in the face of skeptical challenges, simply decide to remain intellectually immobile, maintaining a cowardly, arrogant or dogmatic position. (shrink)