The basic question of ontology is “What exists?”. The basic question of metaontology is: are there objective answers to the basic question of ontology? Here ontological realists say yes, and ontological anti-realists say no. (Compare: The basic question of ethics is “What is right?”. The basic question of metaethics is: are there objective answers to the basic question of ethics? Here moral realists say yes, and moral anti-realists say no.) For example, the ontologist may ask: Do numbers exist? (...) The Platonist says yes, and the nominalist says no. The metaontologist may ask: is there an objective fact of the matter about whether numbers exist? The ontological realist says yes, and the ontological anti-realist says no. Likewise, the ontologist may ask: Given two distinct entities, when does a mereological sum of those entities exist? The universalist says always, while the nihilist says never. The metaontologist may ask: is there an objective fact of the matter about whether the mereological sum of two distinct entities exists? The ontological realist says yes, and the ontological anti-realist says no. Ontological realism is often traced to Quine (1948), who held that we can determine what exists by seeing which entities are endorsed by our best scientific theory of the world. In recent years, the practice of ontology has often presupposed an ever-stronger ontological realism, and strong versions of ontological realism have received explicit statements by Fine (this volume), Sider (2001; this volume), van Inwagen (1998; this volume), and others. (shrink)

Anti-realism is a doctrine about logic, language, and meaning that is based on the work of Wittgenstein and Frege. In this book, Professor Tennant clarifies and develops Dummett's arguments for anti-realism and ultimately advocates a radical reform of our logical practices.

It might be expected that it would suffice for the entry for “moral anti-realism” to contain only some links to other entries in this encyclopedia. It could contain a link to “moral realism” and stipulate the negation of the view there described. Alternatively, it could have links to the entries “anti-realism” and “morality” and could stipulate the conjunction of the materials contained therein. The fact that neither of these approaches would be adequate—and, more strikingly, that (...) following the two procedures would yield substantively non-equivalent results—reveals the contentious and unsettled nature of the topic. -/- “Anti-realism,” “non-realism,” and “irrealism” may for most purposes be treated as synonymous. Occasionally, distinctions have been suggested for local pedagogic reasons (see, e.g., Wright 1988a; Dreier 2004), but no such distinction has generally taken hold. (“Quasi-realism” denotes something very different, to be discussed in the supplement Projectivism and quasi-realism below.) All three terms are to be defined in opposition to realism, but since there is no consensus on how “realism” is to be understood, “anti-realism” fares no better. Crispin Wright (1992: 1) comments that “if there ever was a consensus of understanding about ‘realism’, as a philosophical term of art, it has undoubtedly been fragmented by the pressures exerted by the various debates—so much so that a philosopher who asserts that she is a realist about theoretical science, for example, or ethics, has probably, for most philosophical audiences, accomplished little more than to clear her throat.” This entry doesn't purport to do justice to the intricacy and subtlety of the topic of realism; it should be acknowledged at the outset that the fragmentation of which Wright speaks renders it unlikely that the label “moral anti-realism” even succeeds in picking out a definite position. Yet perhaps we can at least make an advance on clearing our throats. (shrink)

Mathematical concepts play at least three roles in the application of mathematics: an inferential role, a representational role, and an expressive role. In this paper, I argue that, despite what has often been alleged, platonists do not fully accommodate these features of the application of mathematics. At best, platonism provides partial ways of handling the issues. I then sketch an alternative, anti-realist account of the application of mathematics, and argue that this account manages to accommodate these features of the (...) application process. In this way, a better account of mathematical applications is, in principle, available. (shrink)

This article attempts to motivate a new approach to anti-realism (or nominalism) in the philosophy of mathematics. I will explore the strongest challenges to anti-realism, based on sympathetic interpretations of our intuitions that appear to support realism. I will argue that the current anti-realistic philosophies have not yet met these challenges, and that is why they cannot convince realists. Then, I will introduce a research project for a new, truly naturalistic, and completely scientific approach (...) to philosophy of mathematics. It belongs to anti-realism, but can meet those challenges and can perhaps convince some realists, at least those who are also naturalists. (shrink)

Dummettian anti-realism repudiates the realist's notion of verification-transcendent truth. Perhaps the most crucial element in the Dummettian attack on realist truth is the critique of so-called realist semantics, which assigns verification-transcendent truth-conditions as the meanings of (some) sentences. The Dummettian critique charges that realist semantics cannot serve as an adequate theory of meaning for a natural language, and that, consequently, the realist conception of truth must be rejected as well. In arguing for this, Dummett and his followers have (...) appealed to a certain conception of linguistic knowledge. This paper examines closely the appeal to speakers' knowledge of linguistic meaning, its force and limitations. (shrink)

Here is one argument against realism. (1) Realists are committed to the classical rules for negation. But (2) legitimate rules of inference must conserve evidence. And (3) the classical rules for negation do not conserve evidence. So (4) realism is wrong. Most realists reject 2. But it has recently been argued that if we allow denied sentences as premisses and conclusions in inferences we will be able to reject 3. And this new argument against 3 generates a new (...) response to the antirealist argument: keep 1 and 2, avoiding 4 by rejecting 3. My aim in this paper is to see how much work in the fight against anti-realism this new response can really do. I argue that there is a powerful objection to the response: 2 is in tension with the claim that denied sentences can be premisses and conclusions in inferences. But I show that, even given this objection, the new response has an important role to play. (shrink)

Lee McIntyre’s Respecting Truth chronicles the contemporary challenges regarding the relationship amongst evidence, belief formation and ideology. The discussion in his book focusses on the ‘politicisation of knowledge’ and the purportedly growing public (and sometimes academic) tendency to choose to believe what is determined by prior ideological commitments rather than what is determined by evidence-based reasoning. In considering these issues, McIntyre posits that the claim “race is a myth” is founded on a political ideology rather than on support from scientific (...) evidence. He contrasts this view with the argument that racially correlated biomedical outcomes for self-identified racial groups suggest that biological races are real. I explore how McIntyre’s framing of the claim “race is a myth” as fundamentally ideological results in him failing to engage with the arguments and evidence many constructionists and biological anti-realists put forward in support of their views. I also show how the biomedical evidence he thinks supports biological realism is unconvincing. (shrink)

This paper begins by applying a version of Timothy Williamson’s anti-luminosity argument to normative properties. This argument suggests that there must be at least some unknowable normative facts in normative Sorites sequences, or otherwise we get a contradiction given certain plausible assumptions concerning safety requirements on knowledge and our doxastic dispositions. This paper then focuses on the question of how the defenders of different forms of metaethical anti-realism (namely, error theorists, subjectivists, relativists, contextualists, expressivists, response dependence theorists, (...) and constructivists) could respond to the explanatory challenge created by the previous argument. It argues that, with two exceptions, the metaethical anti-realists need not challenge the argument itself, but rather they can find ways to explain how the unknowable normative facts can obtain. These explanations are based on the idea that our own attitudes on which the normative facts are grounded need not be transparent to us either. Reaching this conclusion also illuminates how metaethical anti-realists can make sense of instances of normative vagueness more generally. (shrink)

Many metaethicists agree that as ordinary people experience morality as a realm of objective truths, we have a prima facie reason to believe that it actually is such a realm. Recently, worries have been raised about the validity of the extant psychological research on this argument’s empirical hypothesis. Our aim is to advance this research, taking these worries into account. First, we propose a new experimental design for measuring folk intuitions about moral objectivity that may serve as an inspiration for (...) future studies. Then we report and discuss the results of a survey that was based on this design. In our study, most of our participants denied the existence of objective truths about most or all moral issues. In particular, many of them had the intuition that whether moral sentences are true depends both on their own moral beliefs and on the dominant moral beliefs within their culture. This finding suggests that the realist presumptive argument may have to be rejected and that instead anti-realism may have a presumption in its favor. (shrink)

An "overview article" that (a) clarifies the nature of theological anti-realism and how that thesis should be formulated, and (b) negatively assesses some of the most common arguments for being a theological anti-realist.

DUMMETT HAS BEEN CONCERNED WITH SHOWING HOW ONE MIGHT GIVE\nAN ANTI-REALIST ACCOUNT OF RESTRICTED CLASSES OF SENTENCES.\nTHIS PAPER ARGUES THAT IT IS POSSIBLE TO GIVE AN\nANTI-REALIST ACCOUNT OF ALL CLASSES OF SENTENCES. THAT IS,\nIN THE CASE OF NO CLASSES OF SENTENCES DOES TRUTH TRANSCEND\nWHAT CAN BE WARRANTED. THE KEY TO GLOBAL ANTI-REALISM IS\nREPLACING DUMMETT'S EMPIRICISM WITH A COHERENTIST ACCOUNT\nOF WARRANT. THE AUTHOR POINTS OUT THAT COLIN McGINN'S\nARGUMENT AGAINST GLOBAL ANTI-REALISM FAILS.

Sebold provides a critique of the arguments for anti-realism in Continental philosophy, engaging specifically with Kant, Hegel, Nietzsche, and Husserl. Utilizing resources from both the analytic and continental philosophical traditions, it provides realist ways of reading those aspects of Continental anti-realism that are found to be problematic.

Ruben Berrios Queen’s University Belfast Anti-realism and Aesthetic Cognition Abstract At the core of the debate between scientific realism and anti-realism is the question of the relation between scientific theory and the world. The realist possesses a mimetic conception of the relation between theory and reality. For the realist, scientific theories represent reality. The anti-realist, in contrast, seeks to understand the relations between theory and world in non-mimetic terms. We will examine Cartwright’s simulacrum account (...) of explanation in order to illuminate the anti-realist position. Science consists of phenomenological and theoretical laws. The former are concerned with appearances, or those phenomena that can be directly observed; the latter involve the unobservable reality that is alleged to underlie appearances, and are capable only of indirect confirmation. Phenomenological laws are said to be descriptive, whilst theoretical laws are understood as explanatory. Cartwright is concerned with the theoretical. She claims that the standard realist account of the explanatory efficacy of theoretical laws is faulty. The explanatory power of theoretical laws consists in their ability to provide an explanation of physical phenomena. According to Cartwright, the realist claims that laws explain phenomena by providing an abstract description of them, in terms of their micro-structural features, that is alleged to be true. On this view, explanatory power is entirely dependent on descriptive adequacy. As phenomenological laws describe appearances, so theoretical laws describe the fundamental reality that governs appearances. Cartwright rejects the preceding view and in its place proposes a simulacrum account of explanation. According to Cartwright, the explanatory power of theoretical laws is related not to descriptive adequacy, but rather to the construction of adequate models. To explain a phenomenon is to construct a model which best or most adequately accommodates the phenomenon to a theory. The model will consist of various posited objects that serve to explain the phenomena in terms that are consistent with a set of theoretical laws. Cartwright claims that theoretical laws are true of, or describe, the objects of the model. The objects of the model, however, are not descriptive of reality. They are simulacra. They have, that is, the form or appearance of things, without possessing their substance or proper qualities. In light of the foregoing account we can summarise the distinction between scientific realism and anti-realism as follows. The realist claims that theoretical laws literally represent real objects. The anti-realist claims that laws represent objects of a model that are simulacra of reality. Anti-realism has an aesthetic dimension. The movement from realism to anti-realism is also the movement from the mimetic conception of the scientist as holding a mirror to nature to the constructionist view of the scientist as engaging with nature through invention. There is a lot of the artist in the anti-realist’s view of the scientist. This is true for Cartwright as well as, for example, Van Fraassen in his doctrine of constructive empiricism. It would appear, then, that the philosophy of science has absorbed some concepts that are ordinarily housed in aesthetics. And it has done so profitably. The aim of this paper is to reverse the direction of disciplinary influence. Can art, in relation to its status as a cognitive enterprise, be illuminated by scientific anti-realism? I will argue that it can. In an unexpected reference to the Nicomachean Ethics, Cartwright draws a suggestive parallel between theoretical laws and general moral principles, on the one hand, and physical phenomena and everyday moral conduct, on the other hand. If we add to this the claim that a central component of art’s value is cognitive, then we have the basic materials with which to flesh out a broadly anti-realist view of art. In the production of art, artists can construct models that mediate between everyday ethical phenomena and general ethical tendencies. These models reveal the ways in which there are implicit consistencies or inconsistencies, conflicts or congruences and so forth, between the phenomena and the tendencies. On this basis art can contribute to the reflective understanding of ethical life. This constitutes to a large degree art’s status as a cognitive enterprise. To apprehend art cognitively as artist or critic is to engage in aesthetic cognition. (shrink)

An analysis of the realist/anti-realist debate, arguing that both positions display a similar underlying structure.

I INTRODUCTION - THE TOPIC EXPLAINED 1 GENERAL DIFFERENCES From its inception to the present, philosophy may be viewed as a series of struggles between ...

On the Dummettian understanding, anti-realism regarding a particular discourse amounts to (or at the very least, involves) a refusal to accept the determinacy of the subject matter of that discourse and a corresponding refusal to assert at least some instances of excluded middle (which can be understood as expressing this determinacy of subject matter). In short: one is an anti-realist about a discourse if and only if one accepts intuitionistic logic as correct for that discourse. On careful (...) examination, the strongest Dummettian arguments for anti-realism of this sort fail to secure intuitionistic logic as the single, correct logic for anti-realist discourses. Instead, antirealists are placed in a situation where they fail to be justified in asserting monism (that intuitionistic logic is the unique correct logic). Thus, antirealists seem forced either to accept pluralism (i.e. one or more intermediate logic is at least as `correct’ as intuitionistic logic–an option I take to be unattractive from the anti-realist perspective), or they must be anti-realists about the realism/anti-realism debate (and, in particular, must refuse to assert the instance of excluded middle equivalent to logical monism or logical pluralism). (shrink)

Marton ( 2019 ) argues that that it follows from the standard antirealist theory of truth, which states that truth and possible knowledge are equivalent, that knowing possibilities is equivalent to the possibility of knowing, whereas these notions should be distinct. Moreover, he argues that the usual strategies of dealing with the Church–Fitch paradox of knowability are either not able to deal with his modal-epistemic collapse result or they only do so at a high price. Against this, I argue that (...) Marton’s paper does not present any seriously novel challenge to anti-realism not already found in the Church–Fitch result. Furthermore, Edgington ( 1985 ) reformulated antirealist theory of truth can deal with his modal-epistemic collapse argument at no cost. (shrink)

Call "radical moral theorizing" the project of developing a moral theory that not only tries to conform to our existing moral intuitions, but also manifests various theoretical virtues: consistency, simplicity, explanatory depth, and so on. Many moral philosophers assume that radical moral theorizing does not require any particular metaethical commitments. In this paper, I argue against this assumption. The most natural justification for radical moral theorizing presupposes moral realism, broadly construed; in contrast, there may be no justification for radical (...) moral theorizing if moral anti-realism is true. (shrink)

Husserl endorses ideal verificationism, the claim that there is a necessary correlation between truth and the ideal possibility of experience. This puts him in the company of semantic anti-realists like Dummett, Tennant, and Wright who endorse the knowability thesis that all truths are knowable. Unfortunately, there is a simple, seductive, and troubling argument due to Alonzo Church and Frederic Fitch that the knowability thesis collapses into the omniscience thesis that all truths are known. Phenomenologists should be worried. I assess (...) the damage by surveying responses that may be open to Husserl. In particular, I explore whether Husserl ought to have adopted intuitionistic logic and motivate a restriction of ideal verificationism on phenomenological grounds. (shrink)

The article shows that three antirealistic theories of classical analysis and synthesis are logically possible: presentationistic, solipsistic and Kantian, but only the latter is actually being developed. Revealed its specific features and features shared with other, logically possible antirealistic theories. The correlation of the Kantian theory of analysis and synthesis of knowledge with his theory of analysis and synthesis of subjects of knowledge is analyzed. Gnoseological problems that forced Kant to assert that new knowledge is provided only by the synthesis (...) of knowledge, and analysis only clarifies the results of synthesis, are characterized. The Kantian solution to these problems is correlated with their realistic solution. The role that the Kantian "Copernican revolution in philosophy" plays in his interpretation of the analysis and synthesis of subjects of knowledge is investigated. The Kantian theory of analytical and synthetic judgments is considered. It is shown that the Kantian question "how are synthetic judgments a priori possible?" is essentially a question about the nature of theoretical knowledge, which was historically formed in ancient geometry precisely as the unity of analysis and synthesis. A qualitative difference is shown between classical and geometric (by origin) analysis and synthesis. Three historical stages of their formation are described. The assertion of I. Newton that the natural science experiment arose as a result of the extension of the method of geometric analysis and synthesis to the natural sciences is investigated. (shrink)

Using a quantified propositional logic involving the operators it is known that and it is possible to know that, we formalize various interesting philosophical claims involved in the realism debate. We set out inferential rules for the epistemic modalities, ranging from ones that are obviously analytic, to ones that are epistemologically more substantive or even controversial. Then we investigate various aporias for the realism debate. These are constructively inconsistent triads of claims from our list: a claim expressing some (...) sort of common ground in the debate; a characteristically anti-realist thesis about truth and knowability; and a characteristically realist thesis about determinacy of truth value. Various patterns of reductio proof for these inconsistent triads are generated, so as to display their variety. The reductio proofs use only the inferential rules set out earlier. The philosophical utility of each aporia for the anti-realist is then assessed. This involves consideration of the acceptability of the premiss expressing common ground; the strength and plausibility of the anti-realist premiss; the strength of the realist premiss that is the ultimate target of the reductio; and the analytic status of the inferential rules applied within the proof. (shrink)

After sketching an argument for radical anti-realism that does not appeal to human limitations but polynomial-time computability in its definition of feasibility, I revisit an argument by Wittgenstein on the surveyability of proofs, and then examine the consequences of its application to the notion of canonical proof in contemporary proof-theoretical-semantics.

I sketch an application of a semantically anti-realist understanding of the classical sequent calculus to the topic of mathematics. The result is a semantically anti-realist defence of a kind of mathematical realism. In the paper, I begin the development of the view and compare it to orthodox positions in the philosophy of mathematics.

I defend an inference to the best explanation (IBE) argument for anti-realism about reasons for acting based on the history of intractable disagreement in moral philosophy. The four key premises of the argument are: 1. If there were objective reasons for action, epistemically-well-situated observers would eventually converge upon them after two thousand years; 2. Contemporary philosophers, as the beneficiaries of two thousand years of philosophy, are epistemically well-situated observers; 3. Contemporary philosophers have not converged upon reasons for action; (...) 4. Conclusion: there are no objective reasons for action (IBE from the first three premises). The key premises of the IBE are (1) sentimentalism; (2) non-cognitivism about basic affects; and (3) philosophical arguments for what our reasons for action are always involve arguments that depend on a basic intuitive moral judgment (that can be explained in terms of a basic non-cognitive affect). All these premises are explored in detail, and various objections addressed. (shrink)

Typically, anti-realists argue for the underdetermination of theory by the data on the basis of the claim that each theory has empirically equivalent rivals. Leplin has recently sought to show that, whatever the truth-value of this latter claim, it cannot play any positive role in an argument for underdetermination. I argue that Leplin’s attempt fails.

Some members of the Vienna Circle argued for a coherence theory of truth. Their coherentism is immune to standard objections. Most versions of coherentism are unable to show why a sentence cannot be true even though it fails to cohere with a system of beliefs. That is, it seems that truth may transcend what we can be warranted in believing. If so, truth cannot consist in coherence with a system of beliefs. The Vienna Circle's coherentists held, first, that sentences are (...) warranted by coherence with a system of beliefs. Next they drew upon their verification theory of meaning, a consequence of which is that truth cannot transcend what can be warranted. The coherence theory of knowledge and verificationism together entail that truth cannot transcend what can be warranted by coherence with a system of beliefs. The Vienna Circle's argument for coherentism is strong and anticipates contemporary anti-realism. (shrink)

§I. Anti-realism of the sort which Michael Dummett has expounded takes issue with the traditional idea that an understanding of any statement is philosophically correctly analysed as involving grasp of conditions necessary and sufficient for its truth. Many kinds of statement to which, as we ordinarily think, we attach a clear sense would have to be represented, according to this tradition, as possessing verification-transcendent truth-conditions; if true that is to say, they would be so in virtue of circumstances (...) of a type transcending our range of possible awareness. Exactly where to draw the boundaries of our possible awareness might be controversial; but there is clearly no being aware, in the relevant sense, of the kind of state of affairs which would make true a generalization of theoretical physics, an assertion about James II weight on his twenty-eighth birthday, a claim about what would have happened if Edward Heath had not sought a fresh mandate during the miners' strike, or—from your point of view—the statement that my left ear aches. In each of these kinds of case the traditional view, while granting that we cannot experience the truth-conferring states of affairs as such, would nevertheless credit us with a clear conception of the type of thing they would be. To be sure, there is then no possibility of a straightforward construal of this conception as a recognitional capacity. But the traditional view tends to conceal from itself the problematic status which the alleged grasp of truth-conditions therefore assumes by working with the picture that the ‘conception’ is indirectly recognitional, that it issues in a cluster of unproblematic recognitional capacities; in particular, the ability to recognize what is or is not good evidence for the relevant statement and the ability to recognize its logical relations to other statements. (shrink)

Metaphysical anti-realism is a large and heterogeneous group of views that do not share a common thesis but only share a certain family resemblance. Views as different as mathematical nominalism—the view that numbers do not exist—, ontological relativism—the view that what exists depends on a perspective—, and modal conventionalism—-the view that modal facts are conventional—all are versions of metaphysical anti-realism. As the latter two examples suggest, relativist ideas play a starring role in many versions of metaphysical (...) anti-realism. But what does it mean for the existence of something to “depend on” a perspective, or for a modal fact to “depend on” a convention? We can distinguish between various dependence relations, giving rise to an array of drastically different forms of metaphysical anti-realism. This article offers a guided tour. I develop a systematic distinction between various forms of metaphysical anti-realism with a focus on the role of relativist ideas in this landscape. (shrink)

Plausibly, mathematical claims are true, but the fundamental furniture of the world does not include mathematical objects. This can be made sense of by providing mathematical claims with paraphrases, which make clear how the truth of such claims does not require the fundamental existence of mathematical objects. This paper explores the consequences of this type of position for explanatory structure. There is an apparently straightforward relationship between this sort of structure, and the logical sort: i.e. logically complex claims are explained (...) by logically simpler ones. For example, disjunctions are explained by their (true) disjuncts, while generalizations are explained by their (true) instances. This would seem as plausible in the case of mathematics as elsewhere. Also, it would seem to be something that the anti-realist approaches at issue would want to preserve. It will be argued, however, that these approaches cannot do this: they lead not merely to violations of the familiar principles relating logical and explanatory structure, but even to reversals of these. That is, there are cases where generalizations explain their instances, or disjunctions their disjuncts. (shrink)

Since the publication of the Remarks on the Foundations of Mathematics, Wittgenstein’s interpreters have endeavored to reconcile his general constructivist/anti-realist attitude towards mathematics with his confessed anti-revisionary philosophy. In this article, the author revisits the issue and presents a solution. The basic idea consists in exploring the fact that the so-called “non-constructive results” could be interpreted so that they do not appear non-constructive at all. The author substantiates this solution by showing how the translation of mathematical results, given (...) by the possibility of translation between logics, can be seen as a tool for partially implementing the solution Wittgenstein had in mind. (shrink)

This paper argues that some defenses of global antirealism that critique both epistemic foundationalism and ontological priority foundationalism (e.g., Westerhoff 2020) turn on a false dilemma that ignores non-representational approaches to consciousness and cognition. Arguments against the existence of an external world and against introspective certainty, typically draw on a range of empirical findings (mainly about the brain-based mechanisms that realize cognition) and that are said to lend support to irrealism. Theories that incorporate these findings, such as the interface theory (...) of perception and predictive processing, not only retain the notion of the veil of perception, but have continued to assign to it an important theoretical role. While the mathematical frameworks these theories employ do make them viable candidates, neither theory is moving in a direction that would suggest global anti-realism is the more plausible attitude. Rather, I argue that the new paradigm of 4E cognitive science (embodied, embedded, enactive, extended) bolsters epistemological and metaphysical realism. (shrink)

This chapter contains sections titled: Realism vs. Anti‐realism in the Semantics of Mathematical Language Anti‐realism about the Empirical Realm and, in Particular, about the Past Historical Significance and Historical Insignificance Generality and Holistic Explanations The Objectivity of Historiography Conclusion Bibliography Further Reading.

I will be concerned with the following question: are there compelling arguments for postulating a distinction between the truth of a statement and the recognition of its truth, when truth is conceived along the lines of a suitable generalization of the intuitionistic idea that it should be characterized as the existence of a proof? I will argue that the distinction is not necessary within the conceptual framework of intuitionism by replying to two arguments to the contrary, one based on the (...) paradox of inference, the other on considerations concerning the content of a statement. (shrink)

Crispin Wright offers superassertibility as an anti-realist explication of truth. A statement is superassertible, roughly, if there is a state of information available which warrants it and it is warranted by all achievable enlargements of that state of information. However, it is argued, Wright fails to take account of the fact that many of our test procedures are not sure fire, even when applied under ideal conditions. An alternative conception of superassertibility is constructed to take this feature into account. (...) However, it is then argued that when this revised concept of superassertibility is taken as the truth predicate of probability statements, statements whose test procedures are paradigmatically not sure fire, then any anti-realist theory of the sense of such probability statements cannot be compositional, in Dummett's sense of compositional. (shrink)

In the first section, I characterize realism and illustrate the sense in which Wittgenstein's account of mathematics is anti-realist. In the second section, I spell out the above notion of objectivity and show how and anti-realist account of truth, namely, Putnam's idealized rational acceptability, preserves objectivity. In the third section, I discuss the "majority argument" and illustrate how Wittgenstein's anti-realism can also account for the objectivity of mathematics. What Putnam's and Wittgenstein's anti-realisms ultimately show (...) is that this notion of objectivity is distinct from the notion of realism and that an account of objectivity is no reason to be either realist or anti-realist. (shrink)

I argue that the implementation of theDummettian program of an ``anti-realist'' semanticsrequires quite different conceptions of the technicalmeaning-theoretic terms used than those presupposed byDummett. Starting from obvious incoherences in anattempt to conceive truth conditions as assertibilityconditions, I argue that for anti-realist purposesnon-epistemic semantic notions are more usefully kept apart from epistemic ones rather than beingreduced to them. Embedding an anti-realist theory ofmeaning in Martin-Löf's Intuitionistic Type Theory(ITT) takes care, however, of many notorious problemsthat have arisen in trying (...) to specify suitableintuitionistic notions of semantic value,truth-conditions, and validity, taking into accountthe so-called ``defeasibility of evidence'' forassertions in empirical discourses. (shrink)

According to the realist, the meaning of a declarative, non-indexical sentence is the condition under which it is true and the truth-condition of an undecidable sentence can obtain or fail to obtain independently of our capacity, even in principle, to recognize that it obtains or that fails to do so.1 In a series of papers, beginning with “Truth” in 1959, Michael Dummett challenged the position that the classical notion of truth-condition occupied as the central notion of a theory of meaning, (...) and proposed that it should be replaced by the anti-realist (and intuitionistic) notion of assertability-condition. Taken together with normalization results obtained by Dag Prawitz, Dummett’s work truly opened up the anti-realist challenge at the level of proof-theoretical semantics.2 There has been since numerous rejoinders from partisans of classical logic, which were at times met with by attempts at watering down the anti-realist challenge, e.g., by arguing that anti-realism does not necessarily entail the adoption of intuitionistic logic. Only a few anti-realists, such as Crispin Wright and Neil Tennant, tried to look instead in the other direction, towards a more radical version of anti-realism which would entail deeper revisions of classical logic than those recommended by intuitionists.3 In this paper, which is largely programmatic, we shall also argue in favour of a radical anti-realism which would be a genuine alternative to the traditional anti-realism of Dummett and Prawitz. The debate about anti-realism has by now more or less run out of breath and we wish to provide it with a new lease on life, by taking into account the profound changes that took place in proof theory during the intervening years. We have in mind in particular the considerable development within Gentzen-style proof theory of non-classical, substructural logics other than intuitionistic logic, which seriously opens up the possibility that anti-realism, when properly understood, might end up justifying another logic, and the development of closer links between proof theory and computational complexity theory that has renewed interest in a radical form of anti-realism, namely strict finitism. (shrink)

Experimental philosophy of aesthetics has explored to what extent ordinary people are committed to aesthetic realism. Extant work has focused on attitudes to normativism – a key commitment of realist positions in aesthetics – the claim that aesthetic judgments/statements have correctness conditions, invariant between subjects, such that there is a fact of the matter in cases of aesthetic disagreement. The emerging picture is that ordinary people strongly and almost universally reject normativism and thus there is no strong realist tendency (...) in ordinary people’s thinking about the aesthetic. This has been taken to dissolve the traditional puzzle in aesthetics of how to best account for the fact that (a) aesthetic judgments seem intersubjectively valid, while (b) aesthetic experience seems subjective. This paper presents studies which further enrich our understanding of ordinary thinking about the aesthetic: ordinary thinking about the aesthetic may not be so vehement in its rejection of normativism; and where previous results suggested that, in many cultures, the dominant trend is to reject correctness conditions for aesthetic judgments, the current results suggest participants think aesthetic judgments have correctness conditions (albeit perhaps very finely relativized to specific circumstances of judgment). (shrink)

In those parts of his paper that have the clearest bearing upon mycontributions, Simon Deichsel 1) elaborates various conceptions ofrealism; 2) declares himself an anti-realist of a specific sort; 3) seeks toidentify and criticise pragmatic aspects of my justification for adoptinga realist orientation; and 4) argues that his anti-realist perspective ispreferable to realism.An immediate problem with Deichsel’s project, if intended as acritique of my own realist orientation, is that the sort of realism againstwhich his anti- (...) class='Hi'>realism is oppositionally defined is not the versionof realism I maintain. In fact the only one of Deichsel’s formulationsthat I unambiguously accept as a version of realism is ontological realism. Realism as I understand the term is about existence.It is ontological in nature. At its most basic, it posits the existence of an‘external’ reality.1So understood, realism is not a theory of knowledge, or of language,or even of truth. Indeed so formulated it says nothing about knowledgeor truth.2In particular it does not commit anyone to the correspondencetheory of truth, or indeed to any other theory or conception of truth.In fact it is not a semantic theory at all. (shrink)

Wittgenstein is generally supposed to have abandoned in the 1930's a realistic conception of the meaning of mathematical propositions, founded on the idea of tmth-conditions which could in certain cases transcend any possibility of verification, for a realistic one, where the idea of truth-conditions is replaced by that of conditions of justification of assertability. It is argued that for Wittgenstein mathematical propositions, which are, as he says, "grammatical" propositions, have a meaning and a role which differ to a much greater (...) degree from those of ordinary propositions than either platonistic realism or intuitionistic anti-realism would admit, and that is the tendency to assimilate the mathematical proposition to an ordinary descriptive proposition which confers on it an appearance of meaning independent of the possibility of proving it, and not, as Dummett would say, that it is a decision concerning the kind of meaning it has which gives it the status of a proposition describing a determinate objective reality. (shrink)

Wittgenstein is generally supposed to have abandoned in the 1930's a realistic conception of the meaning of mathematical propositions, founded on the idea of tmth-conditions which could in certain cases transcend any possibility of verification, for a realistic one, where the idea of truth-conditions is replaced by that of conditions of justification of assertability. It is argued that for Wittgenstein mathematical propositions, which are, as he says, "grammatical" propositions, have a meaning and a role which differ to a much greater (...) degree from those of ordinary propositions than either platonistic realism or intuitionistic anti-realism would admit, and that is the tendency to assimilate the mathematical proposition to an ordinary descriptive proposition which confers on it an appearance of meaning independent of the possibility of proving it, and not, as Dummett would say, that it is a decision concerning the kind of meaning it has which gives it the status of a proposition describing a determinate objective reality. (shrink)