This paper offers a new interpretation for Wittgenstein`s treatment of mathematical identities. As it is widely known, Wittgenstein`s mature philosophy of mathematics includes a general rejection of abstract objects. On the other hand, the traditional interpretation of mathematical identities involves precisely the idea of a single abstract object – usually a number –named by both sides of an equation.

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)

The essential role of language in rational cognition is analysed. The approach is functional: only the results of the connection between language, reality, and thinking are considered. Scientific language is analysed as an extension and improvement of everyday language. The analysis gives a uniform view of language and rational cognition. The consequences for the nature of ontology, truth, logic, thinking, scientific theories, and mathematics are derived.

During the past few decades, a radical shift has occurred in how philosophers conceive of the relation between science and philosophy. A great number of analytic philosophers have adopted what is commonly called a ‘naturalistic’ approach, arguing that their inquiries ought to be in some sense continuous with science. Where early analytic philosophers often relied on a sharp distinction between science and philosophy—the former an empirical discipline concerned with fact, the latter an a priori discipline concerned with meaning—philosophers today largely (...) follow Willard Van Orman Quine (1908-2000) in his seminal rejection of this distinction. -/- This book offers a comprehensive study of Quine’s naturalism. Building on Quine’s published corpus as well as thousands of unpublished letters, notes, lectures, papers, proposals, and annotations from the Quine archives, this book aims to reconstruct both the nature (chapters 2-4) and the development (chapter 5-7) of his naturalism. As such, this book aims to contribute to the rapidly developing historiography of analytic philosophy, and to provide a better, historically informed, understanding of what is philosophically at stake in the contemporary naturalistic turn. (shrink)

(1) This paper is about how to build an account of the normativity of logic around the claim that logic is constitutive of thinking. I take the claim that logic is constitutive of thinking to mean that representational activity must tend to conform to logic to count as thinking. (2) I develop a natural line of thought about how to develop the constitutive position into an account of logical normativity by drawing on constitutivism in metaethics. (3) I argue that, while (...) this line of thought provides some insights, it is importantly incomplete, as it is unable to explain why we should think. I consider two attempts at rescuing the line of thought. The first, unsuccessful response is that it is self-defeating to ask why we ought to think. The second response is that we need to think. But this response secures normativity only if thinking has some connection to human flourishing. (4) I argue that thinking is necessary for human flourishing. Logic is normative because it is constitutive of this good. (5) I show that the resulting account deals nicely with problems that vex other accounts of logical normativity. (shrink)

Two questions are raised about Quine's view of truth. He has recently said that ontology is relative to a translation manual: is this the same as relativizing it to a language? The same question may be asked about truth. Should we think there is one concept of truth which is relative to a language, or is there a separate concept for each language (or speaker)? The second question concerns Quine's repeated endorsements of the ?disquotational? account of truth. Does he think (...) this account limits a truth predicate to application to a single language, or can translation (or Tarski's methods) allow us to apply a truth predicate in one language to sentences in other languages? If the latter, can Quine still contend that the disquotational account is a ?full? account of the concept of truth? The answer would tell us whether Quine can be counted among those who would deflate the concept of truth. (shrink)

I want to discuss, in some detail, a short section from Quine’s Philosophy of Logic. It runs from pages 10 to 13 of the second, revised edition of the book and carries the subheading ‘Truth and semantic ascent’.1 In these two and a half pages, Quine presents his well-known account of truth as a device of disquotation, employing what I call Quine’s Ladder. The section merits scrutiny, for it has become the central document for contemporary deflationary views about truth.

This article reconsiders the relationship between interpretivism about belief and normative standards. Interpretivists have traditionally taken beliefs to be fixed in relation to norms of interpretation. However, recent work by philosophers and psychologists reveals that human belief attribution practices are governed by a rich diversity of normative standards. Interpretivists thus face a dilemma: either give up on the idea that belief is constitutively normative or countenance a context-sensitive disjunction of norms that constitute belief. Either way, interpretivists should embrace the intersubjective (...) indeterminacy of belief. (shrink)

We present a series of arguments for logical nativism, focusing mainly on the meaning of disjunction in human languages. We propose that all human languages are logical in the sense that the meaning of linguistic expressions corresponding to disjunction (e.g. English or , Chinese huozhe, Japanese ka ) conform to the meaning of the logical operator in classical logic, inclusive- or . It is highly implausible, we argue, that children acquire the (logical) meaning of disjunction by observing how adults use (...) disjunction. Findings from studies of child language acquisition and from cross-linguistic research invite the conclusion that children do not learn to be logical—it comes naturally to them. (shrink)

This paper examines the paradox of revisability. This paradox was proposed by Jerrold Katz as a problem for Quinean naturalised epistemology. Katz employs diagonalisation to demonstrate what he takes to be an inconsistency in the constitutive principles of Quine's epistemology. Specifically, the problem seems to rest with the principle of universal revisability which states that no statement is immune to revision. In this paper it is argued that although there is something odd about employing universal revisability to revise itself, there (...) is nothing paradoxical about this. At least, there is no paradox along the lines suggested by Katz. (shrink)

Postmodernism has established a significant hold in educational thought and some of the most important ideas are to be found in the writings of Michael Peters. This paper examines his postmodern stance and use of Lyotard's account of knowledge, and from a naturalist point of view raises a number of objections centred on science as a metanarrative, the unity of the empirical and the evaluative, and reason, truth and the growth of knowledge. It is concluded that postmodern epistemology, unlike naturalism, (...) does not serve education well. (shrink)

Postmodernism has established a significant hold in educational thought and some of the most important ideas are to be found in the writings of Michael Peters. This paper examines his postmodern stance and use of Lyotard's account of knowledge, and from a naturalist point of view raises a number of objections centred on science as a metanarrative, the unity of the empirical and the evaluative, and reason, truth and the growth of knowledge. It is concluded that postmodern epistemology, unlike naturalism, (...) does not serve education well. (shrink)

A collective understanding that traces a debate between 'what is science?’ and ‘what is a science about?’ has an extraction to the notion of scientific knowledge. The debate undertakes the pursuit of science that hardly extravagance the dogma of pseudo-science. Scientific conjectures invoke science as an intellectual activity poured by experiences and repetition of the objects that look independent of any idealist views (believes in the consensus of mind-dependence reality). The realistic machinery employs in an empiricist exposition of the objective (...) phenomenon by synchronizing the general method to make observational predictions that cover all the phenomena of the particular entity without any exception. The formation of science encloses several epistemological purviews and a succession of conjectures cum refutation that a newer theorem could reinstate. My attempt is to advocate a holistic plea of scientific conjectures that outruns the restricted regulation of experience or testable hypothesis to render the validity of a chain of logical reasoning (deductive or inductive) of basic scientific statements. The milieu of scientific intensification integrates speculation that loads efficiency towards a new experimental dimension where the reality is not itself objective or observers relative; in fact the observed phenomenon divulges in the constructive progression of preferred methods of falsifiability and uncertainty. (shrink)

In this paper I contend that standard quantum theory has a minimal interpretation, on which all physicists agree. That interpretation is sufficient for every application of quantum theory and it has been confirmed by a countless number of experiments. However, it provides neither an overall picture of the quantum world nor an intended ontology for quantum theory. For those reasons, several full interpretations have been proposed in order to complete the minimal interpretation. I then argue that those interpretations –which are (...) empirically equivalent, but mutually incompatible- are metaphysical ventures that cannot be confirmed by any conceivable experience. Moreover, I claim that the program of finding the ontology for quantum theory rests on the false assumption that there is a unique ontology compatible with each physical theory. I conclude that there is no direct path either from the formalism of quantum theory to its intended ontology, or from determinate metaphysical assumptions to the quantum formalism. (shrink)

The present work constitutes an attempt to make explicit those pragmatic norms successfully operating in empirical science. I will first comment on the initial presuppositions of the discussion, in particular, on those concerning the instrumental character of scientific practice and the nature of scientific goals. Then I will depict the moderately naturalistic frame in which, from this approach, the pragmatic norms make sense. Third, I will focus on the specificity of the pragmatic norms, making special emphasis on what I regard (...) as a key idea underlying them, namely, the view, vigorously advocated by classical pragmatists like C. S. Peirce and G. Vailati, that the best test for objectivity is the test of action. Finally, I am going to put forward a tentative list of pragmatic norms that can be abstracted from a careful observation and analysis of scientific practice as provided by current philosophers of experimentation (A. Franklin and F. Steinle among others). The norms will be divided into four classes corresponding to four aspects of science in which they rule, that is, self-correction, prediction, explanation and both experimentation and computation. In the following account, the formulation of those pragmatic norms successfully governing science will be understood as a contribution that scientifically-oriented pragmatism can make to the normative naturalistic project in epistemology. (shrink)

The traditional formulation of the indispensability argument for the existence of mathematical entities (IA) has been criticised due to its reliance on confirmational holism. Recently a formulation of IA that works without appeal to confirmational holism has been defended. This recent formulation is meant to be superior to the traditional formulation in virtue of it not being subject to the kind of criticism that pertains to confirmational holism. I shall argue that a proponent of the version of IA that works (...) without appeal to confirmational holism will struggle to answer a challenge readily answered by proponents of a version of IA that does appeal to confirmational holism. This challenge is to explain why mathematics applied in falsified scientific theories is not considered to be falsified along with the rest of the theory. In cases where mathematics seemingly ought to be falsified it is saved from falsification, by a so called 'Euclidean rescue'. I consider a range of possible answers to this challenge and conclude that each answer fails. (shrink)

It is claimed that the indispensability argument for the existence of mathematical entities (IA) works in a way that allows a proponent of mathematical realism to remain agnostic with regard to how we establish that mathematical entities exist. This is supposed to be possible by virtue of the appeal to confirmational holism that enters into the formulation of IA. Holism about confirmation is supposed to be motivated in analogy with holism about falsification. I present an account of how holism about (...) falsification is supposed to be motivated. I argue that the argument for holism about falsification is in tension with how we think about confirmation and with two principles suggested by Quine for construing a plausible variety of holism. Finally, I show that one of Quine's principles does not allow a proponent of mathematical realism to remain agnostic with regard to how we establish that mathematical entities exist. (shrink)

The paper provides an interpretation of Wittgenstein’s claim that a mathematical proof must be surveyable. It will be argued that this claim specifies a precondition for the applicability of the word ‘proof’. Accordingly, the latter is applicable to a proof-pattern only if we can come to agree by mere observation whether or not the pattern possesses the relevant structural features. The claim is problematic. It does not imply any questionable finitist doctrine. But it cannot be said to articulate a feature (...) of our actual usage of the word ‘proof’. The claim can be dissociated, however, from two tenable doctrines of Wittgenstein, namely that proofs can be used as paradigms for corresponding proof concepts and that a proof is not an experiment. (shrink)

In this paper I evaluate the soundness of the prototype paradigm, in particular its basic assumption that there are pan-human psychological essences or core meanings that refer to basic-level natural kinds, explaining why, on the whole, human communication and learning are successful. Instead I argue that there are no particular pan-human basic elements for thought, meaning and cognition, neither prototypes, nor otherwise. To illuminate my view I draw on examples from anthropology. More generally I argue that the prototype paradigm exemplifies (...) two assumptions that dominate cognitive science: (1) If human beings use words they mean something particular and what they mean can be discovered by scientific methods. (2) There is a fixed number of domains of categorization, each made up of a fixed number of basic categories. I suggest that these two assumptions lead to Brave New World. (shrink)

Keywords: W.V.Quine claimed that relativism is paradoxical and unacceptable; nevertheless, his own views concerning truth and the underdetermination of theories by data amount to an interesting and plausible form of relativism.

InWord and Object W. V. Quine argues that there is no uniquely correct way to assign referents to the terms of a language; any claim about the reference of a term is implicitly relative to a manual of translation. To Rudolf Carnap this must have seemed familiar. BeforeWord and Object was written Carnap had been saying the same thing inMeaning and Necessity: under the assumption of the method of the name-relation, any claim about the reference of a term is implicitly (...) relative to what Carnap calls a conception of the name-relation. Yet Carnap is often taken to be a victim of Quine's relativistic notion of reference. Drawing on Carnap's discussion of the name-relation inMeaning and Necessity, it is argued that Carnap's and Quine's views on reference are not so far apart as is usually perceived. (shrink)

I first show that most authors who developed Plural Quantification Logic (PQL) argued it could capture various features of natural language better than can other logic systems. I then show that it fails to do so: it radically departs from natural language in two of its essential features; namely, in distinguishing plural from singular quantification and in its use of an relation. Next, I sketch a different approach that is more adequate than PQL for capturing plural aspects of natural language (...) semantics and logic. I conclude with a criticism of the claim that PQL should replace natural language for specific philosophical or scientific purposes. (shrink)

This paper examines Quine’s web of belief metaphor and its role in his various responses to conventionalism. Distinguishing between two versions of conventionalism, one based on the under-determination of theory, the other associated with a linguistic account of necessary truth, I show how Quine plays the two versions of conventionalism against each other. Some of Quine’s reservations about conventionalism are traced back to his 1934 lectures on Carnap. Although these lectures appear to endorse Carnap’s conventionalism, in exposing Carnap’s failure to (...) provide an explanatory account of analytic truth, they in fact anticipate Quine’s later critique of conventionalism. I further argue that Quine eventually deconstructs both his own metaphor and the thesis of under-determination it serves to illustrate. This enables him to hold onto under-determination, but at the cost of depleting it of any real epistemic significance. Lastly, I explore the implications of this deconstruction for Quine’s indeterminacy of translation thesis. (shrink)

Nulty proposes a Davidsonian argument for metaphysical pluralism, the thesis that there are many actual worlds, which appeals to the possibility of alien forms of triangulation. I dispute Nulty’s reading of Davidson on two important points: Davidson’s attack on the notion of a conceptual scheme is not, as Nulty thinks, directed at pluralism, and his understanding of the notions of objective truth and reality is at odds with the conception needed for Nulty’s argument. I also show that the pluralist argument (...) fails on its own terms as it requires an assimilation of worlds to worldviews. But there is much of value in Nulty’s paper despite these important flaws. When the confusions are cleared up, we are left with an intriguing and novel line of argument for conceptual relativism. (shrink)

In this paper I examine a series of criticisms that have been levelled against Quine's naturalized epistemology, regarding its response to the problem of scepticism. Barry Stroud and Michael Williams, assuming that Quine wishes to refute scepticism, argue that Quine not only fails to undertake this refutation, but is also committed to theses (such as the inscrutability of reference and the underdetermination of theory by evidence) which imply versions of scepticism of their own. In Quine's defence, Roger Gibson argues that (...) Quine can succeed in showing sceptical doubts to be incoherent. But I contend that both parties of this dispute wrongly assume that Quine wishes to defeat the sceptic in a traditional way. Instead, Quine is happy to 'acquiesce' in scepticism about a certain kind of justification. No logical justification of our scientific beliefs is possible on his view. But Quine thinks that pragmatic justification is possible, and acknowledging that this is his view leads to the resolution of a number of interpretive quandaries. (shrink)

This paper offers an interpretation of Quine's naturalized epistemology through the lens of Jaegwon Kim's influential critique of the same. Kim argues that Quine forces a false choice between traditional deductivist foundationalism and naturalized epistemology and contends that there are viable alternative epistemological projects. However it is suggested that Quine would reject these alternatives by reference to the same fundamental principles (underdetermination, indeterminacy of translation, extensionalism) that led him to reject traditional epistemology and propose naturalism as an alternative. Given this (...) interpretation of Quine, it is essential that a successful critic of naturalism also examine Quine's aforementioned principles. The divide between naturalist and nonnaturalist epistemology turns out to be defined by the divide between more fundamental naturalist and nonnaturalist approaches to semantics. (shrink)

The history of so-called ‘linguistic relativity’ is an odd and multifaceted one. After knowing alternate fortunes and being treated by different academic branches, today there are some new ways of investigating the language-thought-reality problem that put into dialogue the latest trends in language-related disciplines generate room for philosophical themes previously overlooked, reassess the very idea of linguistic relativity, despite its popularized versions which have circulated for decades and which have led an otherwise fruitful debate to extremes. It is argued that (...) a multidisciplinary approach is desirable in order to broaden future research. In the last few years the opportunity to study this matter following a common trend in several disciplines has been created. Language, and cognition too, are now conceived as intrinsically social phenomena. It is argued that relativistic effects should be investigated in social realms, and that analytic philosophy could help with this task. (shrink)

In this paper I defend the “Standard View” of the semantics of ‘I’—according to which ‘I’ is a pure, automatic indexical—from a challenge posed by “deferred reference” cases, in which occurrences of ‘I’ are (allegedly) not speaker-referential, and thus non-automatic. In reply, I offer an alternative account of the cases in question, which I call the “Description Analysis” (DA). According to DA, seemingly deferred-referential occurrences of the first person pronoun are interpreted as constituents of a definite description, whose operator scopes (...) over an open sentence Rxy—where R is a contextually selected relation ranging over pairs of people and objects. The role of intentions is thus limited to the determination of R, which is posterior to the fixation of the reference of ‘I’. In support of the DA I present evidence that, in the cases in question, the (Determiner) phrase containing ‘I’ behaves in relevant ways like a description. I show that the DA can account for the problematic examples, while preserving the simplicity of the standard semantics of ‘I’. Finally, I examine a rival account of the data, offered by Nunberg (Linguist Philos 16:1–43, 1993), and argue for the superiority of the DA. (shrink)

Gibbard''s theory of rationality is evolutionary in terms of its result as well as its underpinning argument. The result is that judgments about what is rational are analyzed as being similar to judgments of morality — in view of what Darwin suggests concerning the latter. According to the Darwinian theory, moral judgments are based on sentiments which evolve to promote the survival and welfare of human societies. On Gibbard''s theory, rationality judgments should be similarly regarded as expressing emotional attachments to (...) behavioral norms which originate and function to coordinate social interaction. Consequently, Gibbard''s theory of rationality might be used to illuminate Darwin''s theory of morality, and vice versa. Additionally, as argued in the present essay, both can be further elaborated, and defended, by developing related themes in philosophical ethics: viz., connected with Hume and 20th-century emotivists. The main problem is that this general Darwinian approach faces widespread opposition nowadays, not only in ethics but in philosophy of science. The purpose of this essay is to analyze Gibbard''s theory, critically and constructively, with emphasis on the pertinent commonalities in Darwin, Hume and the emotivists, while also critically addressing their common enemies. The pervasive methodological orientation is to relate this analysis to (philosophy of) science in general, and biological science in particular. (shrink)

In this article, I provide a general account of deflationism. After doing so, I turn to truth-defla- tionism, where, after first describing some of the species, I highlight some challenges for those who wish to adopt it.

In this paper, I address some of the chief challenges, or problems, for Deflationary Theories of Truth, viz., the Generalization Problem, the Conservativeness Argument, and the Success Argument.

Whether meaning is compositional has been a major issue in linguistics and formal philosophy of language for the last 2 decades. Semantic holism is widely and plausibly considered as an objection to the principle of semantic compositionality therein. It comes as a surprise that the holistic peculiarities of scientific language have been rarely addressed in formal accounts so far, given that semantic holism has its roots in the philosophy of science. For this reason, a model-theoretic approach to semantic holism in (...) the language of science is presented here. This approach preserves compositionality to a large extent. *Received September 2009; revised February 2010. †To contact the author, please write to: Seminar for Philosophy, Logic, and Theory of Science, Hauspostfach 49, Ludwig-Maximilians-Universität, Munich 80539, Germany; e-mail: [email protected]. (shrink)

Modal logic has been applied in many different areas, as reasoning about time, knowledge and belief, necessity and possibility, to mention only some examples. In the present paper, an attempt is made to use modal logic to account for the semantics of theoretical sentences in scientific language. Theoretical sentences have been studied extensively since the work of Ramsey and Carnap. The present attempt at a modal analysis is motivated by there being several intended interpretations of the theoretical terms once these (...) terms are introduced through the axioms of a theory. (shrink)

Discusses the conditions of possibility for intercultural and comparative philosophy, and for crosscultural communication at large. This innovative book explores the preconditions necessary for intercultural and comparative philosophy. Philosophical practices that involve at least two different traditions with no common heritage and whose languages have very different grammatical structure, such as Indo-Germanic languages and classical Chinese, are a particular focus. Lin Ma and Jaap van Brakel look at the necessary and not-so-necessary conditions of possibility of interpretation, comparison, and other forms (...) of interaction and how we can speak of similarities and differences in this context. The authors posit that it is necessary to dissolve the question of universalism versus relativism by replacing the ideal language paradigm with a paradigm of family resemblances and that it is not necessary to share a common language to engage in comparison. Numerous case studies are presented, including many comparisons of Western and Chinese concepts. (shrink)

The main goal of this paper is to work out Quine's account of explication. Quine does not provide a general account, but considers a paradigmatic example which does not fit other examples he claims to be explications. Besides working out Quine's account of explication and explaining this tension, I show how it connects to other notions such as paraphrase and ontological commitment. Furthermore, I relate Quinean explication to Carnap's conception and argue that Quinean explication is much narrower because its main (...) purpose is to be a criterion of theory choice. (shrink)

Fechner's conception of psychophysics included both “outer psychophysics” the relation between stimulus intensity and the response reflecting sensation strength, and “inner psychophysics” the relation between neurelectric responses and sensation strength. In his own time outer psychophysics focussed on the form of the psychophysical law, with Fechner espousing a logarithmic law, Delboeuf a variant of the logarithmic law incorporating a resting level of neural activity, and Plateau a power law. One of the issues on which the dispute was focussed concerned the (...) appearance of contrasts if the overall illumination was increased or decreased; another issue was the question of whether a sensation of a “just noticeable difference” established for one value of a sensory dimension appeared the same for a value elsewhere on the dimension. The development of “inner psychophysics” led through the works of Delboeuf, Solomons, Jastrow, and Thurstone to modern signal detection theory. A third line of research, devoted to the question of what was meant by the “measurement” of sensation strength, stemmed from the criticism of Fechner's work by von Kries (1882) and others. Although a valid body of science could be built up without the intervening variable called “sensation strength,” such a science might be a cumbersome representation of reality. When an optical contrast is set up, and its overall illumination is increased or decreased, subjective contrasts involving medium levels of lightness vary little as illumination varies (as a power law based on sensation ratios or a logarithmic law based on sensation differences predict), but subjective contrasts involving extreme levels of lightness might be subject to the effects of other variables. (shrink)