Two fundamental rules of reasoning are Universal Generalisation and Existential Instantiation. Applications of these rules involve stipulations such as ‘Let n be an arbitrary number’ or ‘Let John be an arbitrary Frenchman’. Yet the semantics underlying such stipulations are far from clear. What, for example, does ‘n’ refer to following the stipulation that n be an arbitrary number? In this paper, we argue that ‘n’ refers to a number—an ordinary, particular number such as 58 or 2,345,043. Which (...) one? We do not and cannot know, because the reference of ‘n’ is fixed arbitrarily. Underlying this proposal is a more general thesis: Arbitrary Reference : It is possible to fix the reference of an expression arbitrarily. When we do so, the expression receives its ordinary kind of semantic-value, though we do not and cannot know which value in particular it receives. Our aim in this paper is defend AR. In particular, we argue that AR can be used to provide an account of instantial reasoning, and we suggest that AR can also figure in offering new solutions to a range of difficult philosophical puzzles. (shrink)

Reductionist realist accounts of certain entities, such as the natural numbers and propositions, have been taken to be fatally undermined by what we may call the problem of arbitrary identification. The problem is that there are multiple and equally adequate reductions of the natural numbers to sets (see Benacerraf, 1965), as well as of propositions to unstructured or structured entities (see, e.g., Bealer, 1998; King, Soames, & Speaks, 2014; Melia, 1992). This paper sets out to solve the problem by (...) canvassing what we may call the arbitrary reference strategy. The main claims of such strategy are 2. First, we do not know which objects are the referents of proposition and numerical terms since their reference is fixed arbitrarily. Second, our ignorance of which object is picked out as the referent does not entail that no object is referred to by the relevant expression. Different articulations of the strategy are assessed, and a new one is defended. (shrink)

Existential instantiation is a rule of inference that allows us infer, from the proposition that there are some p things, the proposition that a is a p thing. What role does 'a' play here? According to one account, recently defended by Breckenridge and Magidor, we use 'a' to refer to a p thing. I argue that this cannot be right. I propose an alternative account, according to which we use 'a' to refer to a supposedly p thing.

This paper is a response to Haze’s brief argument for the falsity of the theory that instantial terms refer arbitrarily, proposed by Breckenridge and Magidor in 2012. In this paper, I characterise instantial terms and outline the theory of arbitrary reference; then I reconstruct Haze’s argument and contend that it fails in its purpose. Haze’s argument is supposed to be a _reductio ad absurdum:_ according to Haze, it proves that a contradiction follows from the most basic tenets of (...) the theory of arbitrary reference. I will argue, however, that the contradiction in question follows not from these tenets, but from the surreptitious use that Haze makes of a self-referential expression. I conclude, consequently, that Haze’s argument is nothing more than an illustration of the well-known fact that self-referential expressions produce paradoxical results. (shrink)

Much syntactic research on Romance, and, specifically, on Spanish, has been devoted within the GB framework to examining the properties of a class of pronominal elements involving the so-called ‘arbitrary reference’.1 Here is a sample of such constructions.

Many studies have highlighted a substantial "bureaucracy domination" in procedures relating to migrants’ access to territory. This form of domination is marked by highly discretionary and arbitrary practices, enacted by the administrative authorities of the state. Only minor attention, however, has been devoted to the arbitrariness of judicial decisions and to the judicial role in general in the numerous proceedings that increasingly affect the path of migrants. This path is the main object of this paper. The study focuses on (...) Italian case law in expulsion and detention proceedings of irregular third country national citizens and asylum seekers and presents qualitative empirical research on decisions issued by the competent national authorities. The results have been analysed using a selection of theoretical tools, all referable to the general concept of the rule of law. The judicial decisions on pre-removal detention proceedings in two case studies are examined: the jurisprudence on detention of irregular migrants, in different offices of the Justice of the Peace in Italy; and the case law on detention of asylum seekers in the Ordinary Tribunal of Rome. The assumption underlying the research is that various conceptions of the rule of law may have different explanatory power when it comes to explaining the empirical results. To verify this hypothesis, the study proposes an overview of the main rule of law doctrines in the Western tradition of political and legal thought and applies the method of historical-conceptual analysis. As a result, the explanatory power of six theoretical models of the rule of law was verified against the data with the view to highlight the virtues and vices of the respective explanatory frameworks. This article reaches a two-fold conclusion. First, as far as the explanatory frameworks are concerned: the results of the two case studies cannot be fully explained by any of the models considered in this study. This fact alone casts doubts on the explanatory power of these theories and calls for further research on judicial decision-making more generally. Secondly, a key finding of the study regarding the notions of discretion and arbitrariness is that the judicial approach which assures the highest protection of rights is also the one that is most easily influenced by arbitrariness. The author argues that this paradox can be easily dissolved by paying attention to the plural dimensions of arbitrariness. If we consider arbitrariness from a legal point of view, i.e. as an illegal decision, it is unsurprising that the authority that most uses its discretionary powers is also the one most at risk of abusing these discretionary powers and hence of exercising arbitrary power. However, if we consider arbitrariness from the point of view of philosophical-political theory, i.e. as a form of domination characterised by the absence of sufficient justification, it is unsurprising that the judicial approach which assures the highest protection of rights is also the one that takes its own role as guarantor of these rights and of the constitutional democratic legal order as such most seriously. This judicial approach thus most often risks exercising its power in criticisable ways, as compared to an authority much more in line with the requirements of law enforcement agencies. Keywords: migration, discretion, justice, arbitrariness, civil rights, Rechtsstaat, expulsion, mixed constitution. (shrink)

As emphasized by Milne, an observer ultimately depends on the transmission and reception of light signals for the measurement of natural lengths and periods remote from his world point. The laws of geometry which are obeyed when these lengths and periods are plotted on a space-time depend, inevitably, on assumptions concerning the dependence of light velocity on the spatial and temporal coordinates. A convention regarding light velocity fixes the geometry, and conversely. However, the convention of flat space-time implies nonintegrable “radar (...) distances” unless the concept of coordinate-dependent units of measure is employed. Einstein's space-time has the advantage of admitting a special reference system $\hat R$ with respect to which the aether fluid is at rest and the total gravitational field vanishes. A holonomic transformation from $\hat R$ to another reference systemR belonging to the same space-time introduces a nonpermanent gravitational field and holonomic aether motion. A nonholonomic transformation from $\hat R$ to a reference systemR* which belongs to a different space-time introduces a permanent gravitational field and nonholonomic aether motion. The arbitrariness of geometry is expressed by extending covariance to include the latter transformation. By means of a nonholonomic (or units) transformation it is possible, with the aid of the principle of equivalence, to obtain the Schwarzschild and de Sitter metrics from the Newtonian fields that would arise in a flat space-time description. Some light is thrown on the interpretation of cosmological models. (shrink)

Reference is a central topic in philosophy of language, and has been the main focus of discussion about how language relates to the world. R. M. Sainsbury sets out a new approach to the concept, which promises to bring to an end some long-standing debates in semantic theory.There is a single category of referring expressions, all of which deserve essentially the same kind of semantic treatment. Included in this category are both singular and plural referring expressions, complex and non-complex (...) referring expressions, and empty and non-empty referring expressions. Referring expressions are to be described semantically by a reference condition, rather than by being associated with a referent. In arguing for these theses, Sainsbury's book promises to end the fruitless oscillation between Millian and descriptivist views. Millian views insist that every name has a referent, and find it hard to give a good account of names which appear not to have referents, or at least are not known to do so, like ones introduced through error, ones where it is disputed whether they have a bearer and ones used in fiction. Descriptivist theories require that each name be associated with some body of information. These theories fly in the face of the fact names are useful precisely because there is often no overlap of information among speakers and hearers. The alternative position for which the book argues is firmly non-descriptivist, though it also does not require a referent. A much broader view can be taken of which expressions are referring expressions: not just names and pronouns used demonstratively, but also some complex expressions and some anaphoric uses of pronouns.Sainsbury's approach brings reference into line with truth: no one would think that a semantic theory should associate a sentence with a truth value, but it is commonly held that a semantic theory should associate a sentence with a truth condition, a condition which an arbitrary state of the world would have to satisfy in order to make the sentence true. The right analogy is that a semantic theory should associate a referring expression with a reference condition, a condition which an arbitrary object would have to satisfy in order to be the expression's referent.Lucid and accessible, and written with a minimum of technicality, Sainsbury's book also includes a useful historical survey. It will be of interest to those working in logic, mind, and metaphysics as well as essential reading for philosophers of language. (shrink)

Set theory deals with the most fundamental existence questions in mathematics—questions which affect other areas of mathematics, from the real numbers to structures of all kinds, but which are posed as dealing with the existence of sets. Especially noteworthy are principles establishing the existence of some infinite sets, the so-called “arbitrary sets.” This paper is devoted to an analysis of the motivating goal of studying arbitrary sets, usually referred to under the labels of quasi-combinatorialism or combinatorial maximality. After (...) explaining what is meant by definability and by “arbitrariness,” a first historical part discusses the strong motives why set theory was conceived as a theory of arbitrary sets, emphasizing connections with analysis and particularly with the continuum of real numbers. Judged from this perspective, the axiom of choice stands out as a most central and natural set-theoretic principle (in the sense of quasi-combinatorialism). A second part starts by considering the potential mismatch between the formal systems of mathematics and their motivating conceptions, and proceeds to offer an elementary discussion of how far the Zermelo—Fraenkel system goes in laying out principles that capture the idea of “arbitrary sets”. We argue that the theory is rather poor in this respect. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy, Psychiatry, & Psychology 10.3 (2003) 261-264 [Access article in PDF] Contingency, Arbitrariness, and Failure Michael Loughlin PICKERING AIMS TO affect the form of the debate about the reality of mental illness. He notices that many influential arguments both for and against the existence of mental illnesses are in an important sense circular. It is observed that a given condition is relevantly similar to conditions we all agree are (...) genuine illnesses and on the basis of this observation it is concluded that it too can be classified as a type of illness—from which it can be inferred that mental illnesses do indeed exist. But Pickering contends that the initial observation can only be made if we already construe the condition in question as a type of illness. Otherwise we may interpret the data differently.So unless we help ourselves to the categorization whose legitimacy it is supposed to establish, the likeness argument cannot get going. He illustrates his point effectively. Most of his examples are taken from authors defending the existence of mental illness and it would have been interesting to see a more detailed account of the argument working in the other direction. Even so, his references to Szasz (Pickering 2003) are sufficient to convince readers familiar with Szasz's work that a version of the likeness argument (the paradigm approach) is as much at work in his refutation of the existence of mental illnesses as is it in Boorse's proof of their reality.This is an incisive analysis, which should be taken very seriously indeed by contributors to the debate. Its most immediate implication is a negative one. We should not rely upon any version of the likeness argument to establish the existence (or nonexistence) of mental illnesses: "the likeness argument must fail" (Pickering 2003, p. 253). One important question left unanswered by the paper concerns what form the debate should take, if its criticisms are accepted. Assuming we agree that the likeness argument is methodologically flawed, what should the methodology be for debating the substantive issues at stake? Put another way, how can we break the circle? How is it possible to construct arguments that do not presuppose their main conclusions, and so to make real intellectual progress in addressing this issue? Is this in fact possible? What would a valid argument in this area look like, and what sort of observational premises (if any) would be acceptable as evidence?On the most skeptical reading of his thesis, Pickering's arguments render the ideal of intellectual progress toward a resolution of this debate strictly unattainable. The circle cannot be broken, because the theory dependence of our categorizations makes the truth about the reality of mental illness either unknowable or irredeemably relative to one's intellectual starting point. Having argued that the likeness argument fails in the case of alcoholism, Pickering states one possible response to this failure on the part of psychiatry as the concession that the classification [End Page 261] of alcoholism as an illness is "very much a matter of opinion (2003, p. 250). Because he then argues that the argument fails for logically analogous reasons in the case of schizophrenia, we may feel invited to draw the same conclusion about that condition. He later admits there is "some truth in the charge" that "the rejection of the likeness argument seems to introduce an unacceptable element of contingency into the way important questions about the categorization of schizophrenia and alcoholism are answered" (p. 253). His response to this is that it is not his arguments that lead to this element of contingency, and he reiterates that the likeness argument cannot get beyond such contingencies (p. 253).Certainly he seems committed to the view that no observational premises can "decide, or help decide, the issue" because the "detectable and observable features" of a purported mental illness "do not determine what description should be given of them" (p. 250). Even the fact that a particular description seems intuitively irresistible or "natural" cannot decide this. His argument on this point concerns the fact that what appears natural or intuitively obvious to us is... (shrink)

I criticize some arguments against the causal interpretability of population genetics put forward by Denis Walsh ([2007], [2010]). In particular, I seek to undermine the contention that population genetics exhibits frame of reference relativity or subjectivity with respect to its formal representations. I also show that classical population genetics does not fall foul of some criteria for causal representation put forward by James Woodward ([2003]), although those criteria do undermine some causalist stances. 1 Introduction2 Modularity3 The Crucially Important Point4 (...) The Gillespie Case: Density-Dependent Selection5 Conclusion. (shrink)

In his 1763 Prize Essay, Kant is thought to endorse a version of formalism on which mathematical concepts need not apply to extramental objects. Against this reading, I argue that the Prize Essay has sufficient resources to explain how the objective reference of mathematical concepts is secured. This account of mathematical concepts’ objective reference employs material from Wolffian philosophy. On my reading, Kant's 1763 view still falls short of his Critical view in that it does not explain the (...) universal, unconditional applicability of mathematical concepts. (shrink)

Arbitrariness and systematicity are two of language’s most fascinating properties. Although both are characterizations of the mappings between signals and meanings, their emergence and evolution in communication systems has generally been explored independently. We present an experiment in which both arbitrariness and systematicity are probed. Participants invent signs from scratch to refer to a set of items that share salient semantic features. Through interaction, the systematic re-use of arbitrary signal elements emerges.

If we take the indexical, “I”, to be epistemologically identical across different contexts, as in, for example, it is the same “I” that at one moment observes, “I see a puddle of water on the floor”, and then, subsequently, exclaims, “I detect a leaking tap”, and, furthermore, we attribute not only self reference but self awareness in the use of the indexical, “I”, then a question arises as to how the “I” finds itself to be in reference to (...) the speaker in one context and not another. We cannot look to the ingredients of the context that the “I” inhabits for the answer because, based upon the above assumptions, the identity, or character, of the “I” stands independently of the context of the speaker. The answer, I argue, requires both the admission of the unreality of space and time, as well as an explanation as to why we have a sense of the here and now despite space and time being unreal. To this end, I turn to the juxtaposition of Kant’s a priori forms of inner sense and outer sense to explain how the cognitive faculty arrives at a sense of time and place despite the declared unreality of time and space. To sustain this explanation in the face of the problem of localisation, I draw on the full implications of Kant’s transcendental idealism in which the properties of time and space are not only withdrawn from things as they exist externally to the mind but also from mental representations insofar as mental representations can be said to exist in themselves. (shrink)

In this paper, I critically examine an important premise in theories of global distributive justice that, despite its widespread influence, has remained largely unexamined. This is the claim that state borders are morally arbitrary with respect to a just distribution of goods. I examine two common arguments for this claim, the argument that state borders are historically unjust and therefore morally arbitrary; and the argument first made by Charles Beitz that the conditions of a fair, hypothetical social contract (...) would not include knowledge of one's location with respect to the distribution of natural resources between state borders. I argue that there are good reasons to reject both arguments. Beitz's immense contribution to international justice can be gauged by the fact that it is difficult to find a contemporary work on global justice that does not reference his arguments in Political Theory and International Relations . Although some authors find Beitz's cosmopolitan theory objectionable, no author has, to my knowledge, criticized Beitz's pivotal arguments that our placement in the distribution of natural resources is morally arbitrary. The aim of this paper is to do just that. (shrink)

We present a fully relational definition of inertial systems based in the No Arbitrariness Principle, that eliminates the need for absolute inertial frames of reference or distinguished reference systems as the ``fixed stars'' in order to formulate Newtonian mechanics. The historical roots of this approach to mechanics are discussed as well. The work is based in part in the constructivist perspective of space advanced by Piaget. We argue that inertial systems admit approximations and that what is of practical (...) use are precisely such approximations. We finally discuss a slightly larger class of systems that we call ``relatively inertial'' which are the fundamental systems in a relational view of mechanics. (shrink)

Equality1 gives rise to challenging questions which are not altogether easy to answer. Is it a relation? A relation between objects, or between names or signs of objects? In my Begriffsschrift I assumed the latter. The reasons which seem to favour this are the following: a = a and a = b are obviously statements of differing cognitive value; a = a holds a priori and, according to Kant, is to be labeled analytic, while statements of the form a = (...) b often contain very valuable extensions of our knowledge and cannot always be established a priori. The discovery that the rising sun is not new every morning, but always the same, was one of the most fertile astronomical discoveries. Even to-day the identification of a small planet or a comet is not always a matter of course. Now if we were to regard equality as a relation between that which the names ‘a’ and ‘b’ designate, it would seem that a = b could not differ from a = a (i.e. provided a = b is true). A relation would thereby be expressed of a thing to itself, and indeed one in which each thing stands to itself but to no other thing. What is intended to be said by a = b seems to be that the signs or names ‘a’ and ‘b’ designate the same thing, so that those signs themselves would be under discussion; a relation between them would be asserted. But this relation would hold between the names or signs only in so far as they named or designated something. It would be mediated by the connexion of each of the two signs with the same designated thing. But this is arbitrary. Nobody can be forbidden to use any arbitrarily producible event or object as a sign for something. In that case the sentence a = b would no longer refer to the subject matter, but only to its mode of designation; we would express no proper knowledge by its means. But in many cases this is just what we want to do. If the sign ‘a’ is distinguished from the sign ‘b’ only as object (here, by means of its shape), not as sign (i.e. not by the manner in which it designates something), the cognitive value of a = a becomes essentially equal to that of a = b, provided a = b is true.. (shrink)

This paper deals with three puzzles concerning reference. The first concerns the Kripkean distinction between reference fixing by description and meaning giving. The second concerns the compatibility of two properties of names, arbitrariness and rigidity across world. The third concerns the tenability of the notion that a name means its bearer considering that a name is meaningful even when the bearer is no longer. The solution of the first consists in seeing that the distinction involved is not essentially (...) a modal distinction. The solution of the second consists in setting things right with our modal talk. The solution of the third consists in realizing the persistence across times of the enjoyment of certain properties. (shrink)

Policies that determine whether someone is allowed access to reproductive healthcare or not vary widely among countries, especially in their age requirements. This raises the suspicion of arbitrariness, especially because often no underlying justification is provided. In this article, we pose the question—under which circumstances is it morally acceptable to use age for policy and legislation in the first place? We start from the notion that everyone has a _conditional positive_ right to fertility treatment. Subsequently, we set off to formulate (...) a framework that helps to determine who should be excluded from treatment nonetheless. The framework’s three core elements are: choosing and ethically justifying exclusion criteria (target), determining the actual limit between in- and exclusion (cut-off), and selecting variables that help to predict the exclusion criteria via correlation (as they are not directly measurable) (proxy). This framework allows us to show that referring to age in policy and legislation is only ethically justifiable if there is a sufficiently strong correlation with a non-directly measurable exclusion criterion. Moreover, since age is only one of many predicting variables, it should therefore not be ascribed any special status. Finally, our framework may be used as an argumentative scheme to critically assess the ethical legitimacy of policies that regulate access to (fertility) treatments in general. (shrink)

In this paper I will give an analysis of what I call ‘generalizing detached self-reference’ within a general account of reference to the first person. With generalizing detached self-reference an agent attributes properties to a range of individuals by putting himself into their shoes, or simulating them. I will show that generalizing detached self-reference plays an important role in the semantics of natural language, in particular in the English generic one and in what syntacticians call (...) class='Hi'>arbitrary PRO. (shrink)

To Aristotle, spoken words are symbols, not of objects in the world, but of our mental experiences related to these objects. Presently there are two major strands of interpretation of Aristotle’s concept of the linguistic sign. First, there is the structuralist account offered by Coseriu (Geschichte der Sprachphilosophie. Von den Anfängen bis Rousseau, 2003 [1969], pp. 65–108) whose interpretation is reminiscent of the Saussurean sign concept. A second interpretation, offered by Lieb (in: Geckeler (Ed.) Logos Semantikos: Studia Linguistica in Honorem (...) Eugenio Coseriu 1921–1981, 1981) and Weidemann (in: Schmitter (Ed.) Geschichte der Sprachtheorie 2. Sprachtheorien der abendländischen Antike, 1991), says that Aristotle’s concept of the linguistic sign is similar to the one presented in Ogden and Richard’s (The meaning of meaning: A study of the influence of language upon thought and of the science of symbolism, 1970 [1923]) semiotic triangle. This paper starts off with an introductory outline of the so-called phýsei-thései discussion which started during presocratic times and culminated in Plato’s Cratylus. Aristotle’s concept of the linguistic sign is to be regarded as a solution to the stalemate position reached in the Cratylus. Next, a discussion is offered of both Coseriu’s and Lieb’s analysis. We submit that Aristotle’s concept of the linguistic sign shows features of both Saussure’s and Ogden and Richards’s sign concept but that it does not exclusively predict one of the two. We argue that Aristotle’s concept of the linguistic sign is based on three different relations which together evince his teleological as well empiricist point of view: one internal (symbolic) relation and two external relations, i.e. a likeness relation and a relation katà synthéken. (shrink)

Stephen Ingram defends a robustly realistic metaethical theory, based on the concept of normative arbitrariness, of which he provides the first in-depth analysis. He argues that, in order to capture the normative non-arbitrariness of moral choice, we must commit to the existence of robustly stance-independent, categorical, irreducibly normative, non-natural moral facts. Specifically, he identifies five ways in which a metaethical theory might fail to capture the non-arbitrariness of moral choice. The first involves claims about the bruteness of moral attitudes or (...) facts. The second involves claims about the privileging of some attitudes over others. The third involves the claim that some metaethical theories leave a normative deficit. The fourth involves a claim about our ownership over moral reality. And the fifth involves the claim that certain metaethical theories introduce a destabilising contingency into the moral domain. Ingram argues that robust realism is the theory that is best placed to avoid all five of these arbitrariness charges. He then goes on to show that, by exploring the nature of interpersonal moral dialogue, robust realists can defend epistemological and meta-semantic theories that are friendly to their view. Specifically, he defends a dualistic form of moral intuitionism on which some moral beliefs are justified on the basis of a priori intuitions, whilst others are justified on the basis of a posteriori moral experiences, and provides a theory of 'moral mental files' to explain how moral terms and concepts are able to refer to robust moral facts. (shrink)

Imagine that only the state can meet the need for housing but decides not to do so. Unsurprisingly, participants in a vignette experiment deem this scenario unjust. Hence, justice ratings increase when the living situation improves. To a lesser extent, this also holds beyond the need threshold, understood as the minimum amount necessary for a decent life. Surprisingly, however, the justice evaluation function is highly convex below this point. The resulting S-shaped curve is akin to the value function in prospect (...) theory, with the need threshold providing the point of reference and inflection. A control treatment without needs-information supports this interpretation. Needs-information furthermore compresses the perceived injustice of arbitrary inequality. As in prospect theory, such reference dependency suggests biases in judgment and decision making. A consequence may be that the lot of the poorest in society does not receive the attention it would otherwise get. (shrink)

emantic pathologies of self-reference include the Liar (‘this sentence is false’), the Truth-Teller (‘this sentence is true’) and the Open Pair (‘the neighbouring sentence is false’ ‘the neighbouring sentence is false’). Although they seem like perfectly meaningful declarative sentences, truth value assignment to their uses seems either inconsistent (the Liar) or arbitrary (the Truth-Teller and the Open-Pair). These pathologies thus call for a resolution. I propose such a resolution in terms of relative-truth: the truth value of a pathological (...) sentence use varies with the context of its assessment. It always has a determinate truth value, but this truth value is relative to the context of its assessment. I start by considering a fairly esoteric pathology: the Truth-Teller, that is, sentences which assert nothing but their own truth. I make the case that truth value of a given truth-teller use must in general depend on the context of its assessment, and that one can indeed change its truth value at will. I then show how the notion of assessment-sensitive truth can help us provide solutions to other semantic paradoxes such as the Liar and the Open Pair and that those solutions are immune to revenge problems. I conclude by situating my proposal among the main approaches to the semantic paradoxes, and by drawing a very broad moral about pathological self-reference and intentionality. (shrink)

In his general theory of relativity (GR) Einstein sought to generalize the special-relativistic equivalence of inertial frames to a principle according to which all frames of reference are equivalent. He claimed to have achieved this aim through the general covariance of the equations of GR. There is broad consensus among philosophers of relativity that Einstein was mistaken in this. That equations can be made to look the same in different frames certainly does not imply in general that such frames (...) are physically equivalent. We shall argue, however, that Einstein's position is tenable. The equivalence of arbitrary frames in GR should not be equated with relativity of arbitrary motion, though. There certainly are observable differences between reference frames in GR (differences in the way particles move and fields evolve). The core of our defense of Einstein's position will be to argue that such differences should be seen as fact-like rather than law-like in GR. By contrast, in classical mechanics and in special relativity (SR) the differences between inertial systems and accelerated systems have a law-like status. The fact-like character of the differences between frames in GR justifies regarding them as equivalent in the same sense as inertial frames in SR. (shrink)

The so-called New Theory of Reference (Marcus, Kripke etc.) is inspired by the insight that in modal and intensional contexts quantifiers presuppose nondescriptive unanalyzable identity criteria which do not reduce to any descriptive conditions. From this valid insight the New Theorists fallaciously move to the idea that free singular terms can exhibit a built-in direct reference and that there is even a special class of singular terms (proper names) necessarily exhibiting direct reference. This fallacious move has been (...) encouraged by a mistaken belief in the substitutional interpretation of quantifiers, by the myth of thede re reference, and a mistaken assimilation of direct reference to ostensive (perspectival) identification. Thede dicto vs.de re contrast does not involve direct reference, being merely a matter of rule-ordering (scope).The New Theorists' thesis of the necessity of identities of directly referred-to individuals is a consequence of an unmotivated and arbitrary restriction they tacitly impose on the identification of individuals. (shrink)

In his general theory of relativity Einstein sought to generalize the special-relativistic equivalence of inertial frames to a principle according to which all frames of reference are equivalent. He claimed to have achieved this aim through the general covariance of the equations of GR. There is broad consensus among philosophers of relativity that Einstein was mistaken in this. That equations can be made to look the same in different frames certainly does not imply in general that such frames are (...) physically equivalent. We shall argue, however, that Einstein's position is tenable. The equivalence of arbitrary frames in GR should not be equated with relativity of arbitrary motion, though. There certainly are observable differences between reference frames in GR. The core of our defense of Einstein's position will be to argue that such differences should be seen as fact-like rather than law-like in GR. By contrast, in classical mechanics and in special relativity the differences between inertial systems and accelerated systems have a law-like status. The fact-like character of the differences between frames in GR justifies regarding them as equivalent in the same sense as inertial frames in SR. (shrink)

In this second paper, I continue my discussion of the problem of reference for scientific realism. First, I consider a final objection to Kitcher’s account of reference, which I generalise to other accounts of reference. Such accounts make attributions of reference by appeal to our pretheoretical intuitions about how true statements ought to be distibuted among the scientific utterances of the past. I argue that in the cases that merit discussion, this strategy fails because our intuitions (...) are unstable. The interesting cases are importantly borderline—it really isn’t clear what we ought to say about how those terms referred. I conclude that in many relevant cases, our grounds for thinking that the theoretical terms of the past referred are matched by our grounds for thinking that they failed to refer, in such a way that deciding on either result is arbitrary and bad news for the realist. In response to this problem, in the second part of the paper I expand upon Field’s account of partial reference to sketch a new way of thinking about the theoretical terms of the past—that they partially referred and partially failed to refer.Keywords: Scientific realism; Reference; Partial denotation; Theoretical terms; Philip Kitcher; Hartry Field. (shrink)

Nelson Goodman argued that the pictorial relation is reducible to reference. After explaining why previous attempts to refute this thesis of reduction have failed, I argue that in order to show that the thesis is indeed wrong we must find an aspect of pictures that is incompatible with it. I proceed to argue that there is indeed such an element to pictures. Ordinarily, a picture depicts its subject as having aesthetic properties. I show that the depiction of these properties (...) requires the picture’s engagement of our aesthetic judgement. Yet if according to the thesis of reduction a picture refers to these aesthetic properties, they must be inaccessible to aesthetic judgement, because reference is based on arbitrary correlation rules. Since pictures do engage our aesthetic judgement, we must conclude that the pictorial relation is irreducible to reference. (shrink)

The article deals with the question whether a state might be held liable for the infringement of the European Convention on Human Rights if its national court of last instance fails to implement the obligation to make a reference for a preliminary ruling to the Court of Justice of the European Union under the conditions laid down in Article 267 of the Treaty on the Functioning of the European Union and developed in the case-law of the Court. Relying on (...) well-established practice that an arbitrary decision not to refer a question for a preliminary ruling theoretically could infringe the right to a fair trial, the author analyses the practical application of the “arbitrariness rule” and discusses whether the European Court of Human Rights has established any specific criteria that national courts are required to bring into play in order to substantiate the decision not to refer. (shrink)

The article deals with the question whether a state might be held liable for the infringement of constitutional law if its national court of last instance violates the obligation to make a reference for a preliminary ruling to the Court of Justice of the European Union under the conditions laid down in Article 267 of the Treaty on the Functioning of the European Union and developed in the case-law of the Court. Relying on the well-established practice of the European (...) Court of Human Rights, which accepts that in theory an arbitrary decision not to refer a question for a preliminary ruling could infringe the right to a fair trial established in the ECHR, the author analyses whether constitutional courts of Germany, Czech Republic, Spain and Lithuania have elaborated the equivalent practice and if so, whether they have established any specific criteria that national courts are required to bring into play in order to substantiate the decision not to refer. (shrink)

We present an analysis of the game semantics of general references introduced by Abramsky, Honda and McCusker which exposes the algebraic structure of the model. Using the notion of sequoidal category, we give a coalgebraic definition of the denotational semantics of storage cells of arbitrary type. We identify further conditions on the model which allow an axiomatic presentation of the proof that finite elements of the model are definable by programs, in the style of Abramsky’s Axioms for Definability.

The so-called New Theory of Reference (Marcus, Kripke etc.) is inspired by the insight that in modal and intensional contexts quantifiers presuppose nondescriptive unanalyzable identity criteria which do not reduce to any descriptive conditions. From this valid insight the New Theorists fallaciously move to the idea that free singular terms can exhibit a built-in direct reference and that there is even a special class of singular terms (proper names) necessarily exhibiting direct reference. This fallacious move has been (...) encouraged by a mistaken belief in the substitutional interpretation of quantifiers, by the myth of the de re reference, and a mistaken assimilation of "direct reference" to ostensive (perspectival) identification. The de dicto vs. de re contrast does not involve direct reference, being merely a matter of rule-ordering ("scope"). The New Theorists' thesis of the necessity of identities of directly refened-to individuals is a consequence of an unmotivated and arbitrary restriction they tacitly impose on the identification of individuals. (shrink)

Tarski’s relation of satisfaction has been mentioned or discussed a good deal recently, but not often, it seems, with full understanding. Many misconceptions concerning it abound throughout the literature. The relation, it will be recalled, is one holding between an infinite sequence of objects and a sentential function containing an arbitrary number of free variables. A sentence is then any sentential function containing no free variables, and a true sentence is, by definition, one satisfied by all infinite sequences, a (...) false sentence being satisfied by none. (shrink)

Michael Jubien’s Ontology, Modality, and the Fallacy of Reference is an interesting and lively discussion of those three topics. In ontology, Jubien defends, to a first approximation, a Quinean conception: a world of objects that may be arbitrarily sliced or summed. Slicing yields temporal parts; summing yields aggregates, or fusions. Jubien is very unQuinean in his explicit Platonism regarding properties and propositions, but concerns about abstracta are peripheral to much of the argumentation in the book.1 His version of the (...) doctrine that arbitrary mereological sums exist is nonstandard in that he views it as a convention (albeit a useful one) that we treat sums of objects as themselves being objects. Indeed, he views the concept of objecthood itself as being conventional. The world consists fundamentally of stuff, which we divide into things in any way that suits our purposes. In modality, Jubien’s views are to a first approximation Chisholmian: he holds the doctrine of mereological essentialism, according to which anything.. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Kennedy Institute of Ethics Journal 10.2 (2000) 175-188 [Access article in PDF] Scope Note 38 Bioethics Resources on the Web * Once described as an "enormous used book store with volumes stacked on shelves and tables and overflowing onto the floor" (Pool, Robert. 1994. Turning an Info-Glut into a Library. Science 266 (7 October): 20-22, p. 20), Internet resources now receive numerous levels of organization, from basic directory listings (...) to elaborate "links" (cross-references to other Internet documents) that flash and glow in the dark. In many ways, the Internet functions as a direct extension of the traditional library. Following linked references across various sites is an electronic version of browsing library stacks, and the serendipitous discoveries made while "surfing the Net" recall the wonders of physically going "book-to-book." Although many of the Internet's best aspects augment library strengths by eliminating physical distance from sources, Net resources pose unique problems for researchers. It is not always clear who is responsible for the content of Web documents, when the document was produced, or how often (if ever) it is updated. Internet resource tools, then, must enable researchers to identify appropriate resources and to evaluate what they find when they get there. Web Research as Taking "Snapshots" Given the Internet's visual nature and fluid content, the process of conducting research on the Web has been likened to taking an informal picture of information on a specific date at a particular time. This metaphor also conveys the "zoom-in" aspect of searching through Web pages by going from general to specific categories. In the first section of this Scope Note, National Reference Center for Bioethics Literature (NRCBL) staff present a snapshot of bioethics resources taken during the spring months of 2000. Entries are divided into the categories of directories, electronic journals, full-text documents, news/current awareness, and teaching resources. In the two subsequent sections, this series of categories is repeated for entries on a specific topic within bioethics-genetics-and again for general search and evaluation tools. Where a Web site may contain pages applicable [End Page 175] to more than one category, multiple entries are made for that site with appropriate information for each category.Much as telecommunication advances have strengthened the relationship of patients and providers as partners, the dynamic nature of the Internet acknowledges that the researcher functions as a librarian whenever accessing the Web. It is our hope that BIOETHICSLINE and the other NRCBL databases not only will enable researchers to search the Web more efficiently, but also will help them to evaluate what they find when they get there. Bioethicsline on the Web: An International Plan in Progress Once only available through libraries, the U.S. National Library of Medicine (NLM), the funding agency for the ongoing development of the BIOETHICS LINE® database from the Kennedy Institute, has provided free Web access to that database of 63,000 citations since September 1998 through Internet Grateful Med. Plans are now underway to eliminate such specialty databases and incorporate all citations into PubMed (for journal articles) or LOCATORplus (for book-like materials and chapters in books). Both of these databases are likewise available at no cost on the Web. In the transition to PubMed and LOCATORplus some features of BIOETHICSLINE that presently are available may be lost. Researchers are encouraged to contact the National Reference Center for Bioethics Literature with search requests or for search strategy assistance with either the current or the future system ([email protected]).The inclusion of bioethics citations in PubMed and LOCATORplus will have several advantages. First, unique keywords from the Bioethics Thesaurus will be considered for inclusion in Medical Subject Headings (MeSH), the indexing vocabulary for PubMed and LOCATORplus, thereby enhancing retrieval of relevant clinical literature by offering more precise terminology covering ethical issues. Second, it will be easier to identify foreign-language materials, which are not currently included in the scope of BIOETHICSLINE. Third, the updating schedule will become more frequent. On the other hand, there may be some loss of searching precision because certain specialized features... (shrink)

In a recent paper, Breckenridge and Magidor argue for an interesting and counterintuitive account of instantial reasoning. According to this account, in arguments such as one beginning with 'There is some x such that x is mortal. Let O be such an x. ...', the 'O' refers to a particular object, although we cannot know which. I give and defend a simple counterexample involving the notion of an unreferred-to object.

Neural correlates exist for a basic component of logical formulae, PREDICATE(x). Vision and audition research in primates and humans shows two independent neural pathways; one locates objects in body-centered space, the other attributes properties, such as colour, to objects. In vision these are the dorsal and ventral pathways. In audition, similarly separable “where” and “what” pathways exist. PREDICATE(x) is a schematic representation of the brain's integration of the two processes of delivery by the senses of the location of an (...) class='Hi'>arbitrary referent object, mapped in parietal cortex, and analysis of the properties of the referent by perceptual subsystems. The brain computes actions using a few “deictic” variables pointing to objects. Parallels exist between such nonlinguistic variables and linguistic deictic devices. Indexicality and reference have linguistic and nonlinguistic (e.g., visual) versions, sharing the concept of attention. The individual variables of logical formulae are interpreted as corresponding to these mental variables. In computing action, the deictic variables are linked with “semantic” information about the objects, corresponding to logical predicates. Mental scene descriptions are necessary for practical tasks of primates, and preexist language phylogenetically. The type of scene descriptions used by nonhuman primates would be reused for more complex cognitive, ultimately linguistic, purposes. The provision by the brain's sensory/perceptual systems of about four variables for temporary assignment to objects, and the separate processes of perceptual categorization of the objects so identified, constitute a pre-adaptive platform on which an early system for the linguistic description of scenes developed. Key Words: argument; attention; deictic; dorsal; logic; neural; object; predicate; reference; ventral. (shrink)

Neofregeanism and structuralism are among the most promising recent approaches to the philosophy of mathematics. Yet both have serious costs. We develop a view, structuralist neologicism, which retains the central advantages of each while avoiding their more serious costs. The key to our approach is using arbitrary reference to explicate how mathematical terms, introduced by abstraction principles, refer. Focusing on numerical terms, this allows us to treat abstraction principles as implicit definitions determining all properties of the numbers, achieving (...) a key neofregean advantage, while preserving the key structuralist advantage, which objects play the number role does not matter. (shrink)

PG (Plural Grundgesetze) is a consistent second-order system which is aimed to derive second-order Peano arithmetic. It employs the notion of plural quantification and a few Fregean devices, among which the infamous Basic Law V. George Boolos’ plural semantics is replaced with Enrico Martino’s Acts of Choice Semantics (ACS), which is developed from the notion of arbitrary reference in mathematical reasoning. Also, substitutional quantification is exploited to interpret quantification into predicate position. ACS provides a form of logicism which (...) is radically alternative to Frege’s and which is grounded on the existence of individuals rather than on the existence of concepts. (shrink)

I attempt to accommodate the phenomenon of vagueness with classical logic and bivalence. I hold that for any vague predicate there is a sharp cut-off between the things that satisfy it and the things that don’t; I claim that this is due to the greater naturalness of one of the candidate meanings of that predicate. I extend the view to give an account of arbitrary reference and a solution to Benacerraf problems. I end by exploring the idea that (...) it is ontically indeterminate what the most natural meanings are, and hence ontically indeterminate where the sharp cut-off in a sorites series is. (shrink)

PLV (Plural Basic Law V) is a consistent second-order system which is aimed to derive second-order Peano arithmetic. It employs the notion of plural quantification and a first-order formulation of Frege's infamous Basic Law V. George Boolos' plural semantics is replaced with Enrico Martino's Acts of Choice Semantics (ACS), which is developed from the notion of arbitrary reference in mathematical reasoning. ACS provides a form of logicism which is radically alternative to Frege's and which is grounded on the (...) existence of individuals rather than on the existence of concepts. (shrink)

The Convention on Biological Diversity opens the possibility to negotiate a legally binding Biosafety Protocol to assess and minimize risks in the field of transboundary transfer, handling, and use of organisms modified by genetic engineering. Two principles— the Precautionary Principle and the Principle of Familiarity—guiding the risk assessment as basis of import decisions on such organisms are discussed. Developing and European industrialized countries favor the Precautionary Principle. The U.S., Australia, Japan, and some others call for the Principle of Familiarity. These (...) two principles exhibit opposite effects on scientific progress in general and on scientific methodology of risk assessment in particular. With the example of risk assessment by the U.S. company Monsanto discussed below, it could be illustrated that the Principle of Familiarity opens the way for superficial evaluations based on citing arbitrary references while the Precautionary Principle is an incentive for developing and applying sound methodology in experimental risk assessment. on the transboundary transfer of such LMOs, for example, on the international exchange of and trade with transgenic seeds, grains, animals, or bacteria. The negotiations are based on Articles 19.3 and 8(g) of the Convention on Biological Diversity, elaborated during the Earth Summit in Rio de Janeiro, Brazil, in 1992, and on Decision II/5 of the Second Conference of the Parties to this Convention in Jakarta, Indonesia, in 1995 (see the appendix; for more documents, see www.biodiv.org). Until the Fourth Conference of the Parties in 1998, 172 states ratified this convention. This conference decided to finish the Biosafety Protocol in February 1999. In 1998, transgenic crops were allowed to be planted in eight (75%) countries of the world. As the country with the largest acreage of transgenic crops and as the main trader of LMOs, the United States cannot become a member of the protocol until it has ratified the Convention on Biological Diversity. (shrink)