Philosophy and Phenomenological Research, EarlyView.

ABSTRACTThis paper distinguishes between the theoretical scientific image and the practical scientific image. The popular idea that there is a conceptual clash between the scientific and manifest images of the world is revealed as largely illusory. From the perspective of a liberal naturalism, the placement problem for ‘problematic’ entities or truths is not solved but dissolved. Persons, say, are not posits of any explanatory science, but beings acknowledged as rational agencies in second-personal space. Core elements of the manifest image are (...) more deeply rooted in our conceptual scheme than any version of the scientific image. (shrink)

I argue that, just like causal explanation requires laws of nature, so metaphysical explanation requires laws of metaphysics. I offer a minimal rendition of the argument for laws of metaphysics, assuming nothing about grounding or essences, and little about explanation. And I offer a positive and minimal functional conception of the laws of metaphysics, coupled with an argument that some laws of metaphysics are fundamental.

Quine's metaphilosophical naturalism is often dismissed as overly “scientistic.” Many contemporary naturalists reject Quine's idea that epistemology should become a “chapter of psychology” and urge for a more “liberal,” “pluralistic,” and/or “open-minded” naturalism instead. Still, whenever Quine explicitly reflects on the nature of his naturalism, he always insists that his position is modest and that he does not “think of philosophy as part of natural science”. Analyzing this tension, Susan Haack has argued that Quine's naturalism contains a “deep-seated and significant (...) ambivalence”. In this paper, I argue that a more charitable interpretation is possible—a reading that does justice to Quine's own pronouncements on the issue. I reconstruct Quine's position and argue that Haack and Quine, in their exchanges, have been talking past each other and that once this mutual misunderstanding is cleared up, Quine's naturalism turns out to be more modest, and hence less scientistic, than many contemporary naturalists have presupposed. I show that Quine's naturalism is first and foremost a rejection of the transcendental. It is only after adopting a broadly science-immanent perspective that Quine, in regimenting our language, starts making choices that many contemporary philosophers have argued to be unduly restrictive. (shrink)

Evidential holism begins with something like the claim that “it is only jointly as a theory that scientific statements imply their observable consequences.” This is the holistic claim that Elliott Sober tells us is an “unexceptional observation”. But variations on this “unexceptional” claim feature as a premise in a series of controversial arguments for radical conclusions, such as that there is no analytic or synthetic distinction that the meaning of a sentence cannot be understood without understanding the whole language of (...) which it is a part and that all knowledge is empirical knowledge. This paper is a survey of what evidential holism is, how plausible it is, and what consequences it has. Section 1 will distinguish a range of different holistic claims, Sections 2 and 3 explore how well motivated they are and how they relate to one another, and Section 4 returns to the arguments listed above and uses the distinctions from the previous sections to identify holism's role in each case. (shrink)

I argue that Quinean naturalists’ holism-based arguments against analyticity and apriority are more difficult to resist than is generally supposed, for two reasons. First, although opponents of naturalism sometimes dismiss these arguments on the grounds that the holistic premises on which they depend are unacceptably radical, it turns out that the sort of holism required by these arguments is actually quite minimal. And second, although it’s true, as Grice and Strawson pointed out long ago, that these arguments can succeed only (...) if there isn’t any principled criterion for meaning change, such a criterion turns out to be hard to come by. David Chalmers has recently argued that such a criterion must exist, since the norms governing belief revision are subject to obvious exceptions that can be explained only by appeal to meaning change. But this, I argue, is incorrect: if choices about how to use language are themselves rationally assessable, then there are no such exceptions to be explained. To show that this is so, I formulate a new kind of coherence norm that may be useful for reasoning formally about the relationship between meaning and evidence. (shrink)

This essay is concerned with six linguistic moves that we commonly make, each of which is considered in turn. These are: stating rules of representation; representing things categorically; mentioning expressions; saying truly or falsely how things are; saying vaguely how things are; and stating rules of rules of representation. A common-sense view is defended of what is involved in our doing each of these six things against a much more sceptical view emanating from the idea that linguistic behavior is fundamentally (...) messy. Both the fifth move and the sixth move involve vague concepts, and much of the essay is concerned with developing an approach to various problems and puzzles that attach to such concepts, most notably the sorites paradoxes. (shrink)

RÉSUMÉ: Je propose iei une interprétation de la position quinienne sur l’asymetrie entre l’indétermination de la traduction et la sous-détermination. Je discute les articIes de Chomsky, Rorty et Friedman, qui prétendent montrer que l’asymétrie défendue par Quine est inacceptable. J’examine en outre les points de vue de Føllesdal et Gibson, deux auteurs en accord avec Quine au sujet de l’asymétrie. Je défends l’idée selon laquelle il faut admettre le réalisme de Quine, mais pas son physicalisme, pour être en mesure de (...) reeonnaître l’asymétrie entre le cas des théories scientifiques et celui des manuels de traduction.ABSTRACT: I propose an interpretation of Quine’s position on the asymmetry between indeterminacy of translation and underdetermination of theory. The positions of Chomsky, Rorty, and Friedman, who reject the asymmetry, are presented and criticized. The same is done with Føllesdal’s and Gibson’s views, which are favourable to Quine’s. I argue that we must admit Quine’s realism but not his physicalism in order to accept the asymmetry. (shrink)

Contemporary science seems to be caught in a strange predicament. On the one hand, it holds a firm and reasonable commitment to a healthy naturalistic methodology, according to which explanations of natural phenomena should never overstep the limits of the natural itself. On the other hand, contemporary science is also inextricably and now inevitably dependent on ever more complex technologies, especially Information and Communication Technologies, which it exploits as well as fosters. Yet such technologies are increasingly “artificialising” or “denaturalising” the (...) world, human experiences and interactions, as well as what qualifies as real. So the search for the ultimate explanation of the natural seems to rely upon, and promote, the development of the artificial, seen here as an instantiation of the non-natural. In this article, I would like to try and find a way out of this apparently strange predicament. I shall argue that the naturalisation of our knowledge of the world is either philosophically trivial, or mistaken. First, I shall distinguish between different kinds of naturalism. Second, I shall remind the reader that the kinds of naturalism that are justified today need to be protected and supported pragmatically, but they are no longer very interesting conceptually. We know how to win the argument. We just have to keep winning it. Whereas the kind of naturalism that is still interesting today is now in need of revision in order to remain acceptable. Such a kind of naturalism may be revised on the basis of a realistic philosophy of information, according to which knowing is a constructive activity, through which we do not merely represent the phenomena we investigate passively, but create more or less correct informational models of them, proactively and interactively. I shall conclude that the natural is in itself artefactual, and that the information revolution is disclosing a tension not between the natural and the non-natural, but a deeper one between a user’s and a producer’s interpretation of knowledge. The outcome is a philosophical view of knowledge and science in the information age that may be called constructionist and a revival of philosophy as a classic, foundationalist enterprise. (shrink)

David Enoch has recently proposed that the deliberative indispensability of irreducibly normative facts suffices to support their inclusion in our ontology, even if they are not necessary for the explanation of any observable phenomena. He challenges dissenters to point to a relevant asymmetry between explanation and deliberation that shows why explanatory indispensability, but not deliberative indispensability, is a legitimate guide to ontology. In this paper, I aim to do just that. Given that an entity figures in the actual explanation of (...) some phenomenon, it is not an open question whether that entity exists. Thus, if you can manage to find actual explanations, you can find answers to ontological questions. In contrast, even if some entity is indispensable to deliberation, it still might not exist. For example, even if some form of libertarian free will is deliberatively indispensable, we still might not have libertarian free will. So even if you manage to discover the indispensable commitments of deliberation, there is still more work to do to get to the bottom of things. That additional work is explanatory work, and so deliberative indispensability is not an independent guide to what there is. (shrink)

There is no such thing as , conceived as a special discipline with its own distinctive subject matter or peculiar method. But there is an analytic task for philosophy that distinguishes it from other reflective pursuits, a global or synoptic commission: to establish whether the final outputs of other disciplines and common sense can be fused into a single periscopic vision of the Universe. And there is the hard-won insight that thought and language aren't transparent but stand in need of (...) analysis an insight that threatens to be lost once philosophers appeal to intuitions. (shrink)

While I was quietly thinking these thoughts [about misfortune] over to myself and giving vent to my sorrow with the help of my pen, I became aware of a woman standing over me. She was of aweinspiring appearance, her eyes burning and keen beyond the usual power of men. She was so full of years that I could hardly think of her as of my own generation, and yet she possessed a vivid colour and undiminished vigour … Her clothes were (...) made of imperishable material, of the finest thread woven with the most delicate skill … On the bottom hem could be read the embroidered Greek letter Pi , and on the top hem the Greek letter Theta . Between the two a ladder of steps rose from the lower to the higher letter. Her dress had been torn by the hands of marauders who had each carried off such pieces as he could get. There were some books in her right hand and in her left hand she held a sceptre … As she spoke she gathered her dress into a fold and wiped from my eyes the tears that filled them … the clouds of my grief dissolved and I drank in the light. (shrink)

I describe a new argument for the existence of God, and argue one of its steps. En route I criticize class-nominalist theories of attributes, and sketch an alternate theory involving God.

J C Walker; Dusting Off Educational Studies: a methodology for implementing certain proposals of John Wilson’s, Journal of Philosophy of Education, Volume 18, I.

Spontaneously, one might want to object that it is essential to ordered pairs that they can contain the same members and yet be different: ≠. Hence, it may be argued, no set-theoretical substitute can fully capture the sense in which ordered pairs are ordered. Quine, however, rejects all such talk of essences and senses. As I will show, this anti-essentialist attitude is intimately related to his view of the ontological import of explication procedures. According to Quine, an explication should help (...) us reform our established theory of the world so that the resulting scheme assumes an ontology that is as sparse as possible. Allegedly, what Wiener and Kuratowski show is simply that whatever good is accomplished by talking of ordered pairs can be accomplished by talking of sets. And, Quine adds, ‘[a] similar view can be taken of every case of explication: explication is elimination’. (shrink)

A basic way of evaluating metaphysical theories is to ask whether they give satisfying answers to the questions they set out to resolve. I propose an account of “third-order” virtue that tells us what it takes for certain kinds of metaphysical theories to do so. We should think of these theories as recipes. I identify three good-making features of recipes and show that they translate to third-order theoretical virtues. I apply the view to two theories—mereological universalism and plenitudinous platonism—and draw (...) out their third-order virtues and vices. One lesson is that there is an important difference between essentially and non-essentially third-order vicious theories. I also argue that if a theory is essentially third-order vicious, it cannot be assessed for more standard “second-order” theoretical virtues and vices, like parsimony. This motivates the idea that third-order virtues are distinct from second-order ones. Finally, I suggest that the relationship between truth, progress, and third-order virtue is more complex than it seems. (shrink)

RÉSUMÉ : Même s’il formule à diverses reprises sa thèse controversée de l’indétermination de la traduction, Quine n’a jamais examiné de près le lien entre l’indétermination et la conception de la signification qu’il aurait développée à partir des travaux de Peirce et de Duhem. Cet article esquisse le plan d’une telle conception de la signification dans sa relation à la thèse de l’indétermination et évalue les avantages et les implications de cette conception dans le contexte du programme philosophique de Quine (...) lui-même, ainsi que selon l’approche très différente de la signification et de la compréhension élaborée dans l’œuvre de Gadamer. (shrink)

It is widely accepted by formal and informal logicians alike that a formal logic which, by the lights of English, gets the connectives wrong, nevertheless conspires to get entailment right—right that is, modulo English. There is a vexing problem occasioned by this semantic alienation of formal logic. It is next to impossible for formal logic to meet the expectations of realism. What, then, of informal logic?

Certain commentators on Russell's “no class” theory, in which apparent reference to classes or sets is eliminated using higher-order quantification, including W. V. Quine and (recently) Scott Soames, have doubted its success, noting the obscurity of Russell’s understanding of so-called “propositional functions”. These critics allege that realist readings of propositional functions fail to avoid commitment to classes or sets (or something equally problematic), and that nominalist readings fail to meet the demands placed on classes by mathematics. I show that Russell (...) did thoroughly explore these issues, and had good reasons for rejecting accounts of propositional functions as extra-linguistic entities. I argue in favor of a reading taking propositional functions to be nothing over and above open formulas which addresses many such worries, and in particular, does not interpret Russell as reducing classes to language. (shrink)

Quine’s thesis of underdetermination is significantly weaker than it has been taken to be in the recent literature, for the following reasons: (i) it does not hold for all theories, but only for some global theories, (ii) it does not require the existence of empirically equivalent yet logically incompatible theories, (iii) it does not rule out the possibility that all perceived rivalry between empirically equivalent theories might be merely apparent and eliminable through translation, (iv) it is not a fundamental thesis (...) within Quine’s philosophy, and (v) it does not carry with it the anti-realistic consequences often associated with the thesis in recent debates. The paper analyzes Quine’s views on the matter and the changes they underwent over the years. A conjecture is put forth about why Quine’s thesis has been so widely misrepresented: Quine’s writings up to 1975 tackled primarily the formulation and justification of the thesis, but afterwards were concerned mostly with the question whether empirically equivalent rivals to the theory we hold are to be considered true also. When this latter discussion is read without bearing in mind Quine’s earlier formulation and justification of the thesis, his thesis seems to have stronger epistemic consequences than it actually does. A careful reading of his later writings shows, however, that the formulation of the thesis remained unchanged after 1975, and that his mature and considered views supported only a very mitigated version of the thesis. (shrink)

Consciousness Explained Daniel Dennett Boston, Little Brown & Company, 1991 xiii + 511 pp. $27.95Origins of the Modern Mind: Three Stages in the Evolution of Culture and Cognition Merlin Donald Cambridge, MA, Harvard University Press. 1991 viii + 413 pp., 827.95About Time: Inventing the Fourth Dimension William Friedman Cambridge, MA, The MIT PressMetapsychology: Missing links in behavior, mind and science S.S. Rakover New York, Paragon House. 1990 440 pp., $35.00Philosophy of Science and its Discontents Steve Fuller Westview, 1989Cognition Through Color (...) Jules Davidoff, 1991 Cambridge, MA, MIT Press xiv + 217 pp. Cloth, $32.50The Realistic Spirit: Wittgenstein, Philosophy and the Mind Cora Diamond Cambridge, MA and London, MIT Press 1991 396pp., 832.50. (shrink)

In the philosophy of mathematics, indispensability arguments aim to show that we are justified in believing that abstract mathematical objects exist. I wish to defend a particular objection to such arguments that has become increasingly popular recently. It is called instrumental nominalism. I consider the recent versions of this view and conclude that it has yet to be given an adequate formulation. I provide such a formulation and show that it can be used to answer the indispensability arguments. -/- There (...) are two main indispensability arguments in the literature, though one has received nearly all of the attention. They correspond to two ways in which we use mathematics in science and in everyday life. We use mathematical language to help us describe non-mathematical reality; and we use mathematical reasoning to help us perform inferences concerning non-mathematical reality using only a feasible amount of cognitive power. The former use is the starting point of the Quine-Putnam indispensability argument ([Quine, 1980a], [Quine, 1980b], [Quine, 1981a], [Quine, 1981b], [Putnam, 1979a], [Putnam, 1979b]); the latter provides the basis for Ketland’s more recent argument ([Ketland, 2005]). I begin by considering the Quine-Putnam argument and introduce instrumental nominalism to defuse it. Then I show that Ketland’s argument can be defused in a similar way. (shrink)

When a debate seems intractable, with little agreement as to how one might proceed towards a resolution, it is understandable that philosophers should consider whether something might be amiss with the debate itself. Famously in the last century, philosophers of various stripes explored in various ways the possibility that at least certain philosophical debates are in some manner deficient in sense. Such moves are no longer so much in vogue. For one thing, the particular ways they have been made have (...) themselves undergone much critical scrutiny, so that many philosophers now feel that there is, for example, a Quinean response to Carnap, a Gricean reply to Austin, and a diluting proliferation of Wittgenstein interpretations.2 Be that as it may,3 there do of.. (shrink)

Quine’s notion of fact of the matter has received very little attention, although a good grasp of it is crucial to an understanding of some of Quine’s famous formulations of the indeterminacy of translation thesis. The notion is used and cited by many but has to my knowledge never been thoroughly analysed. In the present article, I attempt to analyse and clarify it. In the first section, my exposition focuses on the relations Quine has developed between his notion of fact (...) of the matter and his views on physicalism and ontology. The main conclusion of this section is that Quine’s notion of fact of the matter is ontological. That is to say, for Quine, the notion concerns extralinguistic reality, which is ultimately described by physics. In the second section, I try to show what relations Quine sees between facts of the matter and truth. The main conclusion of this section is that, for Quine, facts of the matter determine truth. This determination is to be understood in the context of Quine’s genetic approach to evidence, which reveals that it is through the mechanism of conditioned response that facts of the matter determine truth. It is hoped that the present analyses will shed new light on Quine’s controversial indeterminacy of translation thesis as well as on the asymmetry that Quine sees between that thesis and underdetermination of theory. (shrink)

Tis is a review of Giorgio Lando's "Mereology: A Philosophical Introduction".

This article elaborates the epistemic indispensability argument, which fully embraces the epistemic contribution of mathematics to science, but rejects the contention that such a contribution is a reason for granting reality to mathematicalia. Section 1 introduces the distinction between ontological and epistemic readings of the indispensability argument. Section 2 outlines some of the main flaws of the first premise of the ontological reading. Section 3 advances the epistemic indispensability argument in view of both applied and pure mathematics. And Sect. 4 (...) makes a case for the epistemic approach, which firstly calls into question the appeal to inference to the best explanation in the defense of the indispensability claim; secondly, distinguishes between mathematical and physical posits; and thirdly, argues that even though some may think that inference to the best explanation works in the postulation of physical posits, no similar considerations are available for postulating mathematicalia. (shrink)

Écrire un livre sur les fondements empiriques de la signification qui reprenne la question tant débattue de la critique de l'analycité, de la traduction radicale et de l'indétermination de la traduction, d'un point de vue éclairant, précis, et renouvelé à bien des égards, est la gageure que relève Martin Montminy avec son excellent livre Les fondements empiriques de la signification. La thèse simple mais convaincante de l'auteur est que la critique de l'analycité et de la distinction entre analytique et synthétique, (...) comme critique de toute approche normative de la signification, est la voie d'entrée, le fil directeur et l'argument central des différentes thèses de Quine sur l'épistémologie naturalisée, le holisme épistémologique et l'indétermination de la traduction. C'est par ce biais qu'il défend une approche empirique de la signification liant toute théorie sémantique à des données empiriques en principe accessibles à un observateur. Par ce fil directeur, Montminy, dans une argumentation toujours claire et explicite, offre à la fois une introduction pédagogique au. (shrink)

Semantic Indeterminacy and Scientific Realism are perhaps the two most ubiquitous and influential doctrines of the Quinean corpus. My concern is to argue against neither in isolation, but against their joint compatibility. Scientific Realism, I argue, when understood as Quine's realistic attitude toward the posits of physical theory, is essentially intentional in character. Thus, Realism requires Intentionality. In Section 1, I provide some necessary exegesis. In Section 2, I attempt to show how this Realism/Intentionality connection arises, surprisingly, within Quine's own (...) mature work to create a tension in his views which he does not himself resolve. In Section 3, I examine the source of the Realism/Intentionality connection more deeply, and respond to possible Quinean objections to my account. In Section 4, I consider the consequences of the connection for various debates in recent analytic philosophy. (shrink)

The purpose of this paper is threefold: First, I provide a framework – based on Sellars' distinction between the manifest and the scientific image – for illuminating the distinction between liberal and ‘orthodox’ scientific naturalism. Second, I level a series of objections against expanded liberal naturalism and its core commitment to the autonomy of manifest-image explanations. Further, I present a view which combines liberal and scientific naturalism, albeit construed in resolutely non-representationalist terms. Finally, I attempt to distinguish my own (Sellars- (...) and Peirce-inspired) position from the very similar pragmatic liberal naturalist view, that of Huw Price. I do this by suggesting that a ‘monistic’ Peircian evolutionary naturalism which accepts the Sellarsian scientia mensura principle not only is consistent with ungrudging recognition of the irreducibility of normative facts and the plurality of our discursive practices, but also shows how this irreducibility, by being understood in terms of an evolution-by-selection of a population of perceptual-practical-inferential habits, can be at the same time considered as naturalistically explicable – without any appeal to an expanded manifest-image conception of nature. (shrink)

W.V.Quine and Philip Kitcher have both developed naturalistic approaches to the philosophy of science which are partially based on a skeptical view about the possibility of rational inquiry into certain questions of value. Nonetheless, both Quine and Kitcher do not wish to give up on the normative dimension of the philosophy of science. I argue that Kitcher's recent argument against the specification of the goal of science in terms of truth raises a problem for Quine's account of the normative dimensions (...) of the discipline. However Kitcher's alternative suggestion, that the goal of science is to be specified in terms of an ideal democratic procedure, does not escape this problem, given Kitcher's own limited skepticism about rational inquiry into certain questions of value. (shrink)

ABSTRACT:Analytic philosophers have criticized A. N. Whitehead's metaphysics for being obscure, yet several such philosophers have espoused positions in metaphysics and philosophy of mind that were advanced by Whitehead in the 1920s. In this paper, we evaluate the merits and demerits of these criticisms by Bertrand Russell, W. V. Quine, Karl Popper, and others and then demonstrate the affinities and contrasts in the positions advanced by Galen Strawson, David Chalmers, Thomas Nagel, and Whitehead regarding so-called ‘analytic panexperientialism’.

Timothy Sprigge advanced an original synthesis of panpsychism and absolute idealism. He argued that consciousness is an irreducible, subjective reality that is only grasped by an introspective, phenomenological approach and constructed his ontology from what is revealed in the phenomenology. In defending the unique place of metaphysics in the pursuit of truth, he claimed that scientific investigation can never discover the essence of consciousness since it can only provide descriptions of structure and function in what we normally think of as (...) physical existence. In this paper I present a critical evaluation of Sprigge's view focusing in particular on his conception of the nature of scientific inquiry vis-à-vis the ambitious project of his metaphysics. I argue that a naturalistic metaphysics provides a more adequate approach to the relation between science and metaphysics. (shrink)

Owing in part to Rorty’s energetic promotional efforts, Davidson’s philosophy of language has received much attention in recent decades from quarters most diverse, creating at times a sense of an almost protean versatility. Conspicuously missing from the rapidly growing literature on the subject is a sustained discussion of the relationship between Davidson’s interpretive theory and history: an omission all the more surprising since a comparison between Davidson and Gadamer has been pursued at some length and now, it seems,abandoned—all without as (...) much as a mention of history, which does, of course,play a prominent role in Gadamer’s thought. The issue, moreover, is hardly negligible. Davidson understood his work as an attempt to reconcile the demands of rigorous naturalism with the Kantian picture of human rationality,thereby salvaging what he considered to be important and interesting features of the human world from mechanistic reduction. For many thinkers of the 20th century, including Dewey and Gadamer, the irreducibly human had to do with the historical being of mankind, with historicity as the unique mark of our species. Yet, Davidson has virtually nothing to say about history and, in fact, a recent study by Giuseppina D’Oro (2004b), comparing Collingwood and Davidson, concludes that Davidson’s model of interpretation results in a distorted picture of understanding, as judged by the standards of a historically informed interpretive practice. Examining the causes of their disagreement, then,should help us make some headway towards a clearer sense of what it means to understand historically, by gleaning some additional constraints that the requirement of historicity imposes upon an interpretive theory. We start with D’Oro’s criticism of Davidson and discuss the alternative account of interpretation she proposes. Afterwards, we turn to Collingwood to see if either account does justice to his central insights, ending with some suggestions about the conceptual adjustments required to accommodate them. (shrink)

Günther PATZIG: Gesammelte Schriften, Wallstein Verlag, Göttingen, 4 vols: I, Grundlagen der Ethik, pp. 303; II, Angewandte Ethik, pp. 191; III, Aufsätze zur antiken Philosophie, pp.319; IV, Theoretische Philosophie, pp. 278.

I make a Quinean case that Quine’s ontological relativity marked a wrong turn in his philosophy, that his fundamental commitments point toward the classical view of ontology that was worked out in most detail in hisWord and Object. This removes the impetus toward structuralism in his later philosophy.

The four principal competing substance ontologies are substratum theory, bundle theory, primitive substance theory, and hylomorphism. Both historically and in the recent literature, most arguments pertaining to these four theories have been developed under the assumption that only one of them can be true. However there is room in this debate for various forms of pluralism: mild pluralism here refers to the view that while only one of these four theories is true of our world, there is at least one (...) other possible world in which a different substance ontology obtains; moderate pluralism refers to the view that while only one of these four theories is true of our world, there is at least one other possible world in which multiple substance ontologies obtain ; and extreme pluralism refers to the view that our own actual world contains substances belonging to different substance ontologies. In this paper I lay out a novel argument for a version of extreme pluralism. (shrink)

Does V = L? Is the Axiom of Constructibility true? Most people with an opinion would answer no. But on what grounds? Despite the near unanimity with which V = L is declared false, the literature reveals no clear consensus on what counts as evidence against the hypothesis and no detailed analysis of why the facts of the sort cited constitute evidence one way or another. Unable to produce a well-developed argument one way or the other, some observers despair, retreating (...) to unattractive fall-back positions, e.g., that the decision on whether or not V = L is a matter of personal aesthetics. I would prefer to avoid such conclusions, if possible. If we are to believe that L is not V, as so many would urge, then there ought to be good reasons for this belief, reasons that can be stated clearly and subjected to rational evaluation. Though no complete argument has been presented, the literature does contain a number of varied argument fragments, and it is worth asking whether some of these might be developed into a persuasive case.One particularly simple approach would be to note that the existence of a measurable cardinal implies that V ≠ L,1and to argue that there is a measurable cardinal. The drawback to this approach is that its implying V ≠ L cannot then be counted as evidence in favor of MC, as it often is. Indeed, there seems to have been considerable sentiment against V = L even before the proof of its negation from MC,2and this sentiment must either be accounted for as reasonable or explained away as an aberration of some kind. (shrink)