Analyticity and A Priority

This paper is about Poincaré’s view of the foundations of geometry. According to the established view, which has been inherited from the logical positivists, Poincaré, like Hilbert, held that axioms in geometry are schemata that provide implicit definitions of geometric terms, a view he expresses by stating that the axioms of geometry are “definitions in disguise.” I argue that this view does not accord well with Poincaré’s core commitment in the philosophy of geometry: the view that geometry is the study (...) of groups of operations. In place of the established view I offer a revised view, according to which Poincaré held that axioms in geometry are in fact assertions about invariants of groups. Groups, as forms of the understanding, are prior in conception to the objects of geometry and afford the proper definition of those objects, according to Poincaré. Poincaré’s view therefore contrasts sharply with Kant’s foundation of geometry in a unique form of sensibility. According to my interpretation, axioms are not definitions in disguise because they themselves implicitly define their terms, but rather because they disguise the definitions which imply them. (shrink)

W. V. Quine’s “Two Dogmas of Empiricism”, first published in 1951, is one of the most influential articles in the history of analytic philosophy. It does not just question central semantic and epistemological views of logical positivism and early analytic philosophy, it also marks a momentous challenge to the ideas that conceptual analysis is a main task of philosophy and that philosophy is an a priori discipline which differs in principle from the empirical sciences. These ideas dominated early analytic philosophy, (...) but similar views are to be found in the Kantian tradition, in phenomenology and in philosophical hermeneutics. In questioning this consensus from the perspective of a radical empiricism, Quine’s article has had a sustained and lasting impact across all these philosophical divisions. Quine himself moved from the abandonment of the analytic/synthetic distinction to a thoroughgoing naturalism, and many analytic philosophers have followed his lead. The current collection differs from other anthologies devoted to Quine in two respects. On the one hand, it focuses on his attack on analyticity, apriority and necessity; on the other, it considers implications of that attack that far transcend the limits of Quine scholarship, and lie at the heart of the current self-understanding of philosophy. The contributors include both opponents and proponents of the dichotomies attacked by Quine. Furthermore, they include both eminent figures such as Boghossian, Burge, and Davidson, and up and coming younger philosophers. (shrink)

This paper concerns the three great modal dichotomies: (i) the necessary/contingent dichotomy; (ii) the a priori/empirical dichotomy; and (iii) the analytic/synthetic dichotomy. These can be combined to produce a tri-dichotomy of eight modal categories. The question as to which of the eight categories house statements and which do not is a pivotal battleground in the history of analytic philosophy, with key protagonists including Descartes, Hume, Kant, Kripke, Putnam and Kaplan. All parties to the debate have accepted that some categories are (...) void. This paper defends the contrary view that all eight categories house statements—a position I dub ‘octopropositionalism’. Examples of statements belonging to all eight categories are given. (shrink)

Millians about proper names typically claim that it is knowable apriori that Hesperus is Phosphorus. We argue that they should claim instead that it is knowable only aposteriori that Hesperus is Hesperus, since the Kripke-Putnam epistemic arguments against descriptivism are special cases of Quinean arguments that nothing is knowable apriori, and Millians have no resources to resist the more general Quinean arguments.

A critical survey of Quine's arguments against the analytic/synthetic distinction.

Boghossian (1996) has put forward an interesting explanation of how we can acquire logical knowledge via implicit definitions that makes use of a special template. Ebert (2005) has argued that the template is unserviceable, as it doesn't transmit warrant. In this paper, we defend the template. We first suggest that Jenkins (2008)’s response to Ebert fails because it focuses on doxastic rather than propositional warrant. We then reject Ebert’s objection by showing that it depends on an implausible and incoherent assumption.

On rationalist infallibilism, a wide range of both (i) analytic and (ii) synthetic a priori propositions can be infallibly justified (or absolutely warranted), i.e., justified to a degree that entails their truth and precludes their falsity. Though rationalist infallibilism is indisputably running its course, adherence to at least one of the two species of infallible a priori justification refuses to disappear from mainstream epistemology. Among others, Putnam (1978) still professes the a priori infallibility of some category (i) propositions, while Burge (...) (1986, 1988, 1996) and Lewis (1996) have recently affirmed the a priori infallibility of some category (ii) propositions. In this paper, I take aim at rationalist infallibilism by calling into question the a priori infallibility of both analytic and synthetic propositions. The upshot will be twofold: first, rationalist infallibilism unsurprisingly emerges as a defective epistemological doctrine, and second, more importantly, the case for the a priori infallibility of one or both categories of propositions turns out to lack cogency. (shrink)

Within his overarching program aiming to defend an epistemic conception of analyticity, Boghossian (1996 and 1997) has offered a clear-cut explanation of how we can acquire a priori knowledge of logical truths and logical rules through implicit definition. The explanation is based on a special template or general form of argument. Ebert (2005) has argued that an enhanced version of this template is flawed because a segment of it is unable to transmit warrant from its premises to the conclusion. This (...) article aims to defend the template from this objection. We provide an accurate description of the type of non-transmissivity that Ebert attributes to the template and clarify why this is a novel type of non-transmissivity. Then, we argue that Jenkins (2008)’s response to Ebert fails because it focuses on doxastic rather than propositional warrant. Finally, we rebut Ebert’s objection on Boghossian’s behalf by showing that it rests on an unwarranted assumption and is internally incoherent. (shrink)

It is often argued that inferential role semantics (IRS) entails semantic holism as long as theorists fail to answer the question about which inferences, among the many, are meaning-constitutive. Since analyticity, as truth in virtue of meaning, is a widely dismissed notion in indicating which inferences determine meaning, it seems that holism follows. Semantic holism is often understood as facing problems with the stability of content and many usual explanations of communication. Thus, we should choose between giving up IRS, to (...) avoid these holistic entailments, and defending holism against this charge, to rescue IRS. I try to pursue the second goal by analyzing certain patterns of counterfactual reasoning. Wilfrid Sellars and Robert Brandom claim that, to defend IRS, content-constitutive inferences are those counterfactually robust. While it is difficult to assess the goodness of such a view, it nonetheless entails that counterfactually non-robust inferences (which I call “modally ruled out inferences”) are not content-constitutive. If this is true, and if we take certain remarks about the grasp of concepts on board, there is a way to restrict the scope of the holism entailed by IRS to the extent of reshaping problems with the stability of content. (shrink)

Empiricist philosophers like Carnap invoked analyticity in order to explain a priori knowledge and necessary truth. Analyticity was “truth purely in virtue of meaning”. The view had a deflationary motivation: in Carnap’s proposal, linguistic conventions alone determine the truth of analytic sentences, and thus there is no mystery in our knowing their truth a priori, or in their necessary truth; for they are, as it were, truths of our own making. Let us call this “Carnapian conventionalism”, conventionalismC and cognates for (...) short. This conventionalistC explication of the a priori has been the target of sound criticisms. Arguments like Quine’s in “Truth by Convention” are in our view decisive: the truth of conventionalismC requires that the class of logical truths and logical validities be reductively accounted for as conventionally established; however, no such reduction is forthcoming, because logic is needed to generate the entire class from any given set of conventions properly so-called. Granted that conventionalismC is untenable, we want to take issue with a different, usually made criticism. Although the argument uncovers some difficulties for the way conventionalist claims are defended by some of its advocates, we will try to show that it fails. The criticism thus stands in the way of a proper appreciation of why the Carnapian account of the a priori is not correct. We will try to illustrate this by showing that the criticism we will dispute would dispose of conventionalist claims not only regarding philosophically problematic cases – logical and mathematical truths –, but also regarding cases for which they have some prima facie plausibility. One such case is that of truths that follow from mere abbreviations, “nominal” definitions; ‘someone is a bachelor if and only if he is an unmarried adult male’ can serve at this point for illustration. We will try to articulate a clear sense in which the contents of assertion such as this can be truths by convention. We do not need to prove that a conventionalist claim is true in those cases; it is enough for us to show that it is intelligible, for the arguments we will confront question even this. (shrink)

Many philosophers still believe that metaphysically analytic sentences exist, where a sentence is understood to be metaphysically analytic if and only if it is true solely in virtue of its meaning. I provide two arguments against this claim and hence conclude that metaphysically analytic sentences do not exist. Still, some philosophers, however, hold out hope that epistemically analytic sentences exist, where a sentence is epistemically analytic if and only if an agent's understanding the sentence suffices for the agent to be (...) justified in believing that this sentence is true. One such philosopher is Paul Boghossian, whose so-called analytic theory of the a priori is intended to show how epistemically analytic sentences can explain our a priori knowledge of the truths about logic. His theory, however, relies on the dubious Argument by Implicit Definition. I provide an objection to this argument and hence conclude that Boghossian's analytic theory of the a priori fails to vindicate the notion of epistemic analyticity. Still, I concede that just because Boghossian's attempt to do so fails, it does not follow that the notion of epistemic analyticity cannot, in another way, be vindicated. (shrink)

La rinascita negli ultimi decenni di un nutrito dibattito intorno alla nozione di analiticità dopo le critiche a suo tempo mosse da Quine alla batteria di nozioni utilizzate da Rudolf Carnap (ad esempio, postulati di significato, regole semantiche, definizioni implicite, convenzioni e stipulazioni esplicite) prende le mosse da una riflessione critica sulle argomentazioni di Quine e tenta, da un lato, di approfondire meglio il legame fra analiticità e conoscenza a priori, e, dall’altro, di capire meglio il ruolo che la definizione (...) può svolgere nella costituzione del significato e nella formulazione di verità concettuali. Questa nuova concezione è detta “epistemica” ed ha fra i suoi più autorevoli fautori Crispin Wright, Bob Hale e Paul Boghossian. Boghossian, al pari di molti filosofi critici della nuova concezione epistemica, come Timothy Williamson, convegono però con Quine nel sostenere che gli enunciati analitici hanno portata fattuale e vertono anch’essi sul mondo, oltre che sul linguaggio. Anche per questa ragione essi possono rendere possibile una genuina estensione delle nostre conoscenze. Tuttavia una seconda linea di obiezioni facenti capo dapprima a Paul Horwich, e in seguito agli stessi Wright e Hale, mette in evidenza rispettivamente due difficoltà corrispondenti alle questioni dell'arroganza e dell'accettazione. In questa discussione una parte importante è svolta dalla ripresa e della discussione del condizionale di Carnap, impiegato per rendere conto del ruolo che i termini teorici svolgono nel quadro dell’intera teoria cui appartengono, senza con ciò sposare le conseguenze dell’olismo quineano. La tesi centrale che questo lavoro cerca di rendere plausibile è che una lettura attenta degli ultimi scritti di Carnap mostri come il carattere aperto che egli attribuisce ai termini teorici in ragione, sia dello loro intrinseca indeterminatezza, sia delle revisioni imposte dalle scoperte scientifiche, è perfettamente compatibile con la fattorizzazione del contenuto di una teoria scientifica data in una parte linguistica, il condizionale di Carnap, riguardante la costituzione del significato di un certo termine teorico, e nella sua controparte empirica, che consentono di registrare l’impatto dell’esperienza sulla teoria in questione. Se praticabile, questa concezione può a buon diritto entrare nel novero delle teorie epistemiche dell’analiticità, senza accampare alcuna pretesa di far rivivere i fasti della conoscenza a priori classica. (shrink)

Recent attempts to answer ontological questions through conceptual analysis have been controversial. Still, it seems reasonable to assume that if the existence of certain things analytically follows from sentences we already accept, then there is no further ontological commitment involved in affirming the existence of those things. More generally, it is plausible that whenever a sentence analytically entails another, the conjunction of those sentences requires nothing more of the world for its truth than the former sentence alone. In his ‘Analyticity (...) and Ontology’, Louis deRosset tries to produce counterexamples to these principles by means of linguistic stipulations. I aim to show where his arguments go wrong. (shrink)

There are various proposals for a general characterization of holism1. In this paper I propose the following: a variety of holism is the view that every X of an appropriate kind, which is part of a relevant whole W, cannot be legitimately separated or taken in isolation from W. Then, I distinguish two general kinds of holism, depending on two different reasons which can debar us from taking X in isolation from W. One reason can be that separating X from (...) W always amounts to transforming X into something else. Correspondingly, a strong holism is the view that if the whole W is modified anywhere, X ceases to be X and becomes something else. Another reason why it may be illegitimate to consider X in isolation from W can be that if we separate X from W, nothing that we know entitles us to exclude that X might be transformed into something else. Correspondingly, virtual holism is the view that if the whole W is modified anywhere, we can never rule out that X ceases to be X and becomes something else. (shrink)

An account of the feature all games share in virtue of which they are games.

My aim is to show that once we appreciate how Searle (1958) fills in the details of his account of proper names – which I will dub the presuppositional view – and how we might supplement it further, we are in for a twofold discovery. First, Searle’s account is crucially unlike the so-called cluster-of-descriptions view, which many philosophers take Searle to have held. Second, the presuppositional view he did hold is interesting, plausible, and worthy of serious reconsideration. The idea that (...) Searle’s account is a largely Fregean interlude between the Fregean description theory of proper names and Kripke’s proposals presented in “Naming and Necessity” is in major ways a myth, a mythical chapter in how the story of 20th-century philosophy of language is often told. (shrink)

On the basis of historical and textual evidence, this paper claims that after his Tractatus, Wittgenstein was actually influenced by Einstein's theory of relativity and, the similarity of Einstein's relativity theory helps to illuminate some aspects of Wittgenstein's work. These claims find support in remarkable quotations where Wittgenstein speaks approvingly of Einstein's relativity theory and in the way these quotations are embedded in Wittgenstein's texts. The profound connection between Wittgenstein and relativity theory concerns not only Wittgenstein's “verificationist” phase , but (...) also Wittgenstein's later philosophy centred on the theme of rule‐following. (shrink)

According to the most popular non-skeptical views about intuition, intuitions justify beliefs because they are based on understanding. More precisely: if intuiting that p justifies you in believing that p it does so because your intuition is based on your understanding of the proposition that p. The aim of this paper is to raise some challenges for accounts of intuitive justification along these lines. I pursue this project from a non-skeptical perspective. I argue that there are cases in which intuiting (...) that p justifies you in believing that p, but such that there is no compelling reason to think this is because your intuition is based on your understanding of the proposition that p. (shrink)

In Boghossian's 1997 paper, 'Analyticity' he presented an account of a prioriknowledge of basic logical principles as available by inference from knowledge of their role in determining the meaning of the logical constants by implicit definitiontogether with knowledge of the meanings so-determined that we possess through ourprivileged access to meaning. Some commentators (e.g. BonJour (1998), Glüer (2003),Jenkins (2008)) have objected that if the thesis of implicit definition on which he relieswere true, knowledge of the meaning of the constants would presuppose (...) knowledge of the very logical principles knowledge of which the account purports to explain. Aconsequence would seem to be that implicit definition is incompatible with privilegedaccess. I argue that whilst it is possible for Boghossian to defend against theseobjections the form of argument he proposes does exhibit a subtle form of questionbegging such that it exhibits a transmission of warrant-failure. (shrink)

In this dissertation on Hilary Putnam's philosophy, I investigate his development regarding meaning and necessity, in particular mathematical necessity. Putnam has been a leading American philosopher since the end of the 1950s, becoming famous in the 1960s within the school of analytic philosophy, associated in particular with the philosophy of science and the philosophy of language. Under the influence of W.V. Quine, Putnam challenged the logical positivism/empiricism that had become strong in America after World War II, with influential exponents such (...) as Rudolf Carnap and Hans Reichenbach. Putnam agreed with Quine that there are no absolute a priori truths. In particular, he was critical of the notion of truth by convention. Instead he developed a notion of relative a priori truth, that is, a notion of necessary truth with respect to a body of knowledge, or a conceptual scheme. Putnam's position on necessity has developed over the years and has always been connected to his important contributions to the philosophy of meaning. I study Hilary Putnam's development through an early phase of scientific realism, a middle phase of internal realism, and his later position of a natural or commonsense realism. I challenge some of Putnam’s ideas on mathematical necessity, although I have largely defended his views against some other contemporary major philosophers; for instance, I defend his conceptual relativism, his conceptual pluralism, as well as his analysis of the realism/anti-realism debate. (shrink)

I critically assess Stephen Yablo’s claim that cassinis are ovals is an a posteriori conceptual necessity. One does not know it simply by mastering the relevant concepts but by substantial empirical scrutiny. Yablo represents narrow content by would have turned out -conditionals. An epistemic reading of such conditionals does not bear Yablo’s claim. Two metaphysically laden readings are considered. In one reading, Yablo’s conditionals test under what circumstances concepts remain the same while their extensions diverge. As an alternative, I develop (...) a more literal metaphysical interpretation: Yablo’s conditionals draw on scenarios which are qualitatively identical to some original situation. None of these interpretations sustains Yablo’s core thesis. (shrink)

The volume assembles thirteen essays on logic, language and meaning, and is preceded by an introduction by Paul Gochet. Most of the papers were published between 1981 and 2000 in European journals such as Dialectica, Logique et Analyse, and Erkenntnis. The papers stand alone, yet throughout the book an overarching view of the relationship between pragmatics and semantics transpires clearly. Callaway defends a midway position between American analytic philosophy and American pragmatism. The result is a blend of Quine's scientific philosophy (...) and Dewey's social pragmatism. In addition other thinkers such as Frege, Peirce, Davidson, Putnam, Fodor and Haack are critically discussed. (shrink)

This book provides a concise overview, with excellent historical and systematic coverage, of the problems of the philosophy of language in the analytic tradition. Howard Callaway explains and explores the relation of language to the philosophy of mind and culture, to the theory of knowledge, and to ontology. He places the question of linguistic meaning at the center of his investigations. The teachings of authors who have become classics in the field, including Frege, Russell, Carnap, Quine, Davidson, and Putnam are (...) critically analyzed. I share completely his conviction that contemporary Anglo-American philosophy follows the spirit of the enlightenment in insisting on intellectual sincerity, clarity, and the willingness to meet scientific doubts or objections openly. --Professor Henri Lauener, Editor of Dialectica. (shrink)