Within contemporary philosophy of mind, it is taken for granted that externalist accounts of meaning and mental content are, in principle, orthogonal to the matter of whether cognition itself is bound within the biological brain or whether it can constitutively include parts of the world. Accordingly, Clark and Chalmers (1998) distinguish these varieties of externalism as ‘passive’ and ‘active’ respectively. The aim here is to suggest that we should resist the received way of thinking about these dividing lines. With reference (...) to Brandom’s (1994; 2000; 2008) broad semantic inferentialism, we show that a theory of meaning can be at the same time a variety of active externalism. While we grant that supporters of other varieties of content externalism (e.g., Putnam 1975 and Burge 1986) can deny active externalism, this is not an option for semantic inferentialists: On this latter view, the role of the environment (both in its social and natural form) is not ‘passive’ in the sense assumed by the alternative approaches to content externalism. (shrink)

Mark Wilson argues that the standard categorizations of "Theory T thinking"— logic-centered conceptions of scientific organization (canonized via logical empiricists in the mid-twentieth century)—dampens the understanding and appreciation of those strategic subtleties working within science. By "Theory T thinking," we mean to describe the simplistic methodology in which mathematical science allegedly supplies ‘processes’ that parallel nature's own in a tidily isomorphic fashion, wherein "Theory T’s" feigned rigor and methodological dogmas advance inadequate discrimination that fails to distinguish between explanatory structures that (...) are architecturally distinct. One of Wilson's main goals is to reverse such premature exclusions and, thus, early on Wilson returns to John Locke's original physical concerns regarding material science and the congeries of descriptive concern insofar as capturing varied phenomena (i.e., cohesion, elasticity, fracture, and the transmission of coherent work) encountered amongst ordinary solids like wood and steel are concerned. Of course, Wilson methodologically updates such a purview by appealing to multiscalar techniques of modern computing, drawing from Robert Batterman's work on the greediness of scales and Jim Woodward's insights on causation. (shrink)

In his 1975 paper “The Meaning of ‘Meaning’”, Hilary Putnam famously argued for semantic externalism. Little attention has been paid, however, to the fact that already in 1973, Putnam had presented the idea of the linguistic division of labor and the Twin Earth thought experiment in his comment on Wilfrid Sellars’s “Meaning as Functional Classification” at a conference, and Sellars had replied to Putnam from a broadly inferentialist perspective. The first half of this paper aims to trace the development (...) of Putnam’s semantic externalism, situate his debate with Sellars in it, and reconstruct the two arguments he presented against Sellars. The second half of this paper aims to reconstruct how Sellars replied to Putnam. I argue that Sellars not only accepts the social character of language but also suggests how inferentialists can accommodate the contribution of the world. Sellars’s key idea is that substance terms have a “promissory note aspect” which is to be cashed out in a successor conceptual framework. I reconstruct Sellars’s position as ideal successor externalism, and compare it with temporal externalism. (shrink)

Inferentialism is a theory in the philosophy of language which claims that the meanings of expressions are constituted by inferential roles or relations. Instead of a traditional model-theoretic semantics, it naturally lends itself to a proof-theoretic semantics, where meaning is understood in terms of inference rules with a proof system. Most work in proof-theoretic semantics has focused on logical constants, with comparatively little work on the semantics of non-logical vocabulary. Drawing on Robert Brandom’s notion of material inference and Greg (...) Restall’s bilateralist interpretation of the multiple conclusion sequent calculus, I present a proof-theoretic semantics for atomic sentences and their constituent names and predicates. The resulting system has several interesting features: (1) the rules are harmonious and stable; (2) the rules create a structure analogous to familiar model-theoretic semantics; and (3) the semantics is compositional, in that the rules for atomic sentences are determined by those for their constituent names and predicates. (shrink)

The paper presents teleo-inferentialism, which is a novel meta-semantic theory that combines advantages of teleosemantics and normative inferentialism. Like normative inferentialism, teleo-inferentialism holds that contents are individuated by the norms that govern inferences in which they occur. This allows teleo-inferentialism to account for sophisticated concepts. Like teleosemantics, teleo-inferentialism explains conceptual norms in a naturalistically acceptable way by appeal to the broadly biological well-functioning of our innate capacities. As a test-case for teleo-inferentialism, I (...) discuss how the view handles Kripkenstein-style meaning skepticism. (shrink)

This article offers an overview of inferential role semantics. We aim to provide a map of the terrain as well as challenging some of the inferentialist’s standard commitments. We begin by introducing inferentialism and placing it into the wider context of contemporary philosophy of language. §2 focuses on what is standardly considered both the most important test case for and the most natural application of inferential role semantics: the case of the logical constants. We discuss some of the (alleged) (...) benefits of logical inferentialism, chiefly with regards to the epistemology of logic, and consider a number of objections. §3 introduces and critically examines the most influential and most fully developed form of global inferentialism: Robert Brandom’s inferentialism about linguistic and conceptual content in general. Finally, in §4 we consider a number of general objections to IRS and consider possible responses on the inferentialist’s behalf. (shrink)

Despite its many advantages as a metaethical theory, moral expressivism faces difficulties as a semantic theory of the meaning of moral claims, an issue underscored by the notorious Frege-Geach problem. I consider a distinct metaethical view, inferentialism, which like expressivism rejects a representational account of meaning, but unlike expressivism explains meaning in terms of inferential role instead of expressive function. Drawing on Michael Williams’ recent work on inferential theories of meaning, I argue that an appropriate understanding of the (...) pragmatic role of moral discourse—the facilitation of coordinated social behavior—suggests the kind of inferences we should expect terms with this function to license. I offer a sketch of the inferential roles the moral ‘ought’ plays, and argue that if we accept that the relevant inferential roles are meaning-constitutive, we will be in a position to solve the Frege-Geach problem. Such an inferentialist solution has advantages over those forwarded by expressivists such as Blackburn and Gibbard. First, it offers a more straightforward explanation of the meaning of moral terms. It also gives simple answers to at least two semantic worries that have vexed contemporary expressivists—the “problem of permissions” and the commitment to “mentalism”, both of which I argue are problems that don’t get traction with an inferentialist approach. I conclude by considering ways in which this approach can be expanded into a more robust semantic account. (shrink)

This dissertation is devoted to empirically contrasting the Suppositional Theory of conditionals, which holds that indicative conditionals serve the purpose of engaging in hypothetical thought, and Inferentialism, which holds that indicative conditionals express reason relations. Throughout a series of experiments, probabilistic and truth-conditional variants of Inferentialism are investigated using new stimulus materials, which manipulate previously overlooked relevance conditions. These studies are some of the first published studies to directly investigate the central claims of Inferentialism empirically. In contrast, (...) the Suppositional Theory of conditionals has an impressive track record through more than a decade of intensive testing. The evidence for the Suppositional Theory encompasses three sources. Firstly, direct investigations of the probability of indicative conditionals, which substantiate “the Equation” (P(if A, then C) = P(C|A)). Secondly, the pattern of results known as “the defective truth table” effect, which corroborates the de Finetti truth table. And thirdly, indirect evidence from the uncertain and-to-if inference task. Through four studies each of these sources of evidence are scrutinized anew under the application of novel stimulus materials that factorially combine all permutations of prior and relevance levels of two conjoined sentences. The results indicate that the Equation only holds under positive relevance (P(C|A) – P(C|¬A) > 0) for indicative conditionals. In the case of irrelevance (P(C|A) – P(C|¬A) = 0), or negative relevance (P(C|A) – P(C|¬A) < 0), the strong relationship between P(if A, then C) and P(C|A) is disrupted. This finding suggests that participants tend to view natural language conditionals as defective under irrelevance and negative relevance (Chapter 2). Furthermore, most of the participants turn out only to be probabilistically coherent above chance levels for the uncertain and-to-if inference in the positive relevance condition, when applying the Equation (Chapter 3). Finally, the results on the truth table task indicate that the de Finetti truth table is at most descriptive for about a third of the participants (Chapter 4). Conversely, strong evidence for a probabilistic implementation of Inferentialism could be obtained from assessments of P(if A, then C) across relevance levels (Chapter 2) and the participants’ performance on the uncertain-and-to-if inference task (Chapter 3). Yet the results from the truth table task suggest that these findings could not be extended to truth-conditional Inferentialism (Chapter 4). On the contrary, strong dissociations could be found between the presence of an effect of the reason relation reading on the probability and acceptability evaluations of indicative conditionals (and connate sentences), and the lack of an effect of the reason relation reading on the truth evaluation of the same sentences. A bird’s eye view on these surprising results is taken in the final chapter and it is discussed which perspectives these results open up for future research. (shrink)

Robert Brandom has supported his inferentialist conception of semantic content by appealing to the claim that it is a necessary condition on having a propositional attitude that one appreciate the inferential relations it stands in. When we see what considerations can be given in support of that claim, however, we see that it doesn’t even motivate an inferentialist semantics. The problem is that that claim about what it takes to have a propositional attitude does nothing to show that its (...) inferential relations are a feature of its content rather than of the relation that the subject stands in to that content—that is, the attitude. (shrink)

Abstract: Any normative inferentialist view confronts a set of challenges in the form of how to account for the sort of ordinary empirical descriptive vocabulary that is involved, paradigmatically, in our noninferential perceptual responses and knowledge claims. This chapter lays out that challenge, and then argues that Sellars’ original multilayered account of such noninferential responses in the context of his normative inferentialist semantics and epistemology shows how the inferentialist can plausibly handle those sorts of cases without stretching the notion of (...) inference beyond its standard uses. Finally, it is suggested that for Sellars there were deeply naturalistic motivations for his own normative inferentialism, though the latter raises further questions as to whether this really represents, as Sellars thought, a genuinely scientific naturalist outlook on meaning and conceptual cognition. (shrink)

Normative discourse includes statements which appear to be truth-apt expressions of normative beliefs. But normative oughts do not seem to fit cleanly amongst the natural facts. This makes many naturalistically inclined philosophers sympathetic to some form of expressivist view that normative statements get their meaning from how they express desire-like attitudes. However, there are a serious semantic challenges for expressivism, which lead others to accept the idea that normative statements are representational of reality after all. This paper presents another (...) option that derives from the general program in the theory of meaning to emphasize the commissive role of language over any descriptive or expressive roles. Here this emphasis is used to sketch a version of metaethical inferentialism and contrast it with expressivism. I conclude with some observations about new perspectives this view offers on three other issues in metaethics. (shrink)

One’s account of the meaning of ethical sentences should fit – roughly, as part to whole – with one’s account of the meaning of sentences in general. When we ask, though, where one widely discussed account of the meaning of ethical sentences fits with more general accounts of meaning, the answer is frustratingly unclear. The account I have in mind is the sort of metaethical expressivism inspired by Ayer, Stevenson, and Hare, and defended and worked out in more detail recently (...) by Blackburn, Gibbard, and others. So, my first aim (§1) in this paper is to pose this question about expressivism’s commitments in the theory of meaning and to characterize the answer I think is most natural, given the place expressivist accounts attempt to occupy metaethics. This involves appeal to an ideationalist account of meaning. Unfortunately for the expressivist, however, this answer generates a problem; it’s my second aim (§2) to articulate this problem. Then, my third aim (§3) is to argue that this problem doesn’t extend to the sort of account of the meaning of ethical claims that I favor, which is like expressivism in rejecting a representationalist order of semantic explanation but unlike expressivism in basing an alternative order of semantic explanation on inferential role rather than expressive function. (shrink)

Metasemantic inferentialismhas gained popularity in the last few decades. Traditionally, inferentialism is combined with a deflationary attitude towards semantic terms such as truth and reference, i.e., many inferentialists hold that when we use these semantic terms we do not purport to refer to substantive properties. This combination makes inferentialism attractive for philosophers who see themselves as antirealists. Although the attractions of combining inferentialism and deflationism are easy to see, deflationism is also a controversial position. For (...) one, deflationists maintain that truth is an insubstantive property, but it is not altogether clear what an insubstantive property is. Secondly, as deflationists maintain that truth does not play an explanatory role, it is incompatible with the position that truth can explain the normativity of truth talk. Given that deflationism faces these objections, it would be preferable if the success of inferentialism did not depend on the deflationist’s ability to respond to these objections. I argue that someone attracted to inferentialism for its ability to accommodate antirealist intuitions about a domain (e.g. morality) is not committed to deflationism about truth. More specifically, I will show that inferentialism combined with a straightforward account of inferentialist truth-conditions is compatible with a version of truth pluralism. I call this position Inferentialist Truth Pluralism. (shrink)

For semantic inferentialists, the basic semantic concept is validity. An inferentialist theory of meaning should offer an account of the meaning of "valid." If one tries to add a validity predicate to one's object language, however, one runs into problems like the v-Curry paradox. In previous work, I presented a validity predicate for a non-transitive logic that can adequately capture its own meta-inferences. Unfortunately, in that system, one cannot show of any inference that it is invalid. Here I (...) extend the system so that it can capture invalidities. (shrink)

According to Brandom’s conceptual role semantics, to grasp a concept involves a commitment to drawing certain inferences. This is a consequence of the inferentialist thesis that the meaning of a term is given by its justification through assertibility conditions. Inferential commitments come out from a material notion of inference which underwrites human rational discourse and activity. In this paper I discuss a problem of Brandom’s semantics allegedly exposed in an argument by Paul Boghossian against Dummett’s and Brandom’s substantive conception of (...) meaning. I contend that Boghossian’s analysis is dubious because it overlooks an important difference between Dummett’s and Brandom’s positions related respectively to a monotonic and a non-monotonic view of the norm underwriting meaning. (shrink)

John McDowell articulated a radical criticism of normative inferentialism against Robert Brandom’s expressivist account of conceptual contents. One of his main concerns consists in vindicating a notion of intentionality that could not be reduced to the deontic relations that are established by discursive practitioners. Noticeably, large part of this discussion is focused on empirical knowledge and observational judgments. McDowell argues that there is no role for inference in the application of observational concepts, except the paradoxical one of justifying the (...) content of an observational judgment in terms of itself. This paper examines the semantical consequences of the analysis of the content of empirical judgments in terms of their inferential role. These, it is suggested, are distinct from the epistemological paradoxes that McDowell charges the inferentialist approach with. (shrink)

Semantic dispositionalism is roughly the view that meaning a certain thing by a word, or possessing a certain concept, consists in being disposed to do something, e.g., infer a certain way. Its main problem is that it seems to have so many and disparate exceptions. People can fail to infer as required due to lack of logical acumen, intoxication, confusion, deviant theories, neural malfunctioning, and so on. I present a theory stating possession conditions of concepts that are counterfactuals, rather (...) than disposition attributions, but which is otherwise similar to inferentialist versions of dispositionalism. I argue that it can handle all the exceptions discussed in the literature without recourse to ceteris paribus clauses. Psychological exceptions are handled by suitably undemanding requirements (unlike that of giving the sum of any two numbers) and by setting the following two preconditions upon someone’s making the inference: that she considers the inference and has no motivating reason against it. The non-psychological exceptions, i.e., cases of neural malfunctioning, are handled by requiring that the counterfactuals be true sufficiently often during the relevant interval. I argue that this accommodates some important intuitions about concept possession, in particular, the intuition that concept possession is vague along a certain dimension. (shrink)

This paper provides both a solution and a problem for the account of compositionality in Christopher Peacocke’s modest inferentialism. The immediate issue facing Peacocke’s account is that it looks as if compositionality can only be understood at the level of semantics, which is difficult to reconcile with inferentialism. Here, following up a brief suggestion by Peacocke, I provide a formal framework wherein compositionality occurs the level of the determining relation between inference and semantics. This, in turn provides a (...) “test” for compositionality, which, problematically, Peacocke’s natural deduction framework for classical logic can not meet. To finish, I briefly outline an alternative, bilateralist, framework for modest inferentialism, for which compositionality holds. (shrink)

An “inferentialist” semantic theory for some language L aims to account for the meanings of the sentences of L solely in terms of the inferential rules governing their use. A “hyper-inferentialist” theory admits into the semantics only “narrowly inferential” rules that normatively relate sentences of L to other sentences of L. A “strong inferentialist” theory also admits into the semantics “broadly inferential” rules that normatively relate perceptual states to sentences of L or sentences of L to intentional actions. It (...) is widely thought that only the latter of these two sorts of semantic theories is at all viable. I argue here that the opposite is so. Negatively, strong inferentialism is viciously circular: including rules into the semantic theory that relate perceptual states to sentences of the language requires us to appeal, in individuating those perceptual states, to the very meanings for which we are supposed to be inferentially accounting. Hyper-inferentialism does not face this problem because it does not appeal to any nonlinguistic states. Positively, though hyper-inferentialism is widely thought to be a theoretical non-starter, I argue here that it is a genuine theoretical possibility insofar as it essentially includes cross-perspectival inferences, inferences along the lines of the one from the sentences “The ball is in front of n,” “The ball is red,” and “The lighting is good” to the sentence “n sees that the ball is red.” I make the further exegetical claim that Robert Brandom, though unanimously taken to be a strong inferentialist, is in fact a hyper-inferentialist. (shrink)

Brandom’s philosophical programme can be seen as a reversion of the traditional order of explanation in semantics. Whereas traditional semantic theories start with a grip on a notion like truth or reference, Brandom argues that it is also possible to begin with an analysis of the speech acts of what one is doing by making a claim in order to explain representational notions like truth and objectivity. Evaluating the explanatory values of Brandom’s theory, it therefore is necessary to ask (...) to what extent Brandom’s analysis of our linguistic practices is able to explain what other theories start with. That is, can linguistic practices in Brandom’s sense give an account of why we are capable of referring to language-external objects? And can they make evident why we take truth and falsity not to depend upon our beliefs or claims but upon an extra-linguistic reality? After a short discussion of Brandom’s answer to the first question, I argue that Brandom’s answer to the second is not sufficient and that it does not seem to be possible to give a sufficient answer within his theory. (shrink)

Review of the book "Robert Brandom's Normative Inferentialism" by Giacomo Turbanti.

Both in formal and computational natural language semantics, the classical correspondence view of meaning – and, more specifically, the view that the meaning of a declarative sentence coincides with its truth conditions – is widely held. Truth (in the world or a situation) plays the role of the given, and meaning is analysed in terms of it. Both language and the world feature in this perspective on meaning, but language users are conspicuously absent. In contrast, the inferentialist semantics that Robert (...) Brandom proposes in his magisterial book ‘Making It Explicit’ puts the language user centre stage. According to his theory of meaning, the utterance of a sentence is meaningful in as far as it is a move by a language user in a game of giving and asking for reasons (with reasons underwritten by a notion of good inferences). In this paper, I propose a proof-theoretic formalisation of the game of giving and asking for reasons that lends itself to computer implementation. In the current proposal, I flesh out an account of defeasible inferences, a variety of inferences which play a pivotal role in ordinary (and scientific) language use. (shrink)

In proof-theoretic semantics, meaning is based on inference. It may be seen as the mathematical expression of the inferentialist interpretation of logic. Much recent work has focused on base-extension semantics, in which the validity of formulas is given by an inductive definition generated by provability in a ‘base’ of atomic rules. Base-extension semantics for classical and intuitionistic propositional logic have been explored by several authors. In this paper, we develop base-extension semantics for the classical propositional modal systems K, KT , (...) K4, and S4, with □ as the primary modal operator. We establish appropriate soundness and completeness theorems and establish the duality between □ and a natural presentation of ♢. We also show that our semantics is in its current form not complete with respect to euclidean modal logics. Our formulation makes essential use of relational structures on bases. (shrink)

Alberto Coffa used the phrase "the Copernican turn in semantics" to denote a revolutionary transformation of philosophical views about the connection between the meanings of words and the acceptability of sentences and arguments containing those words. According to the new conception resulting from the Copernican turn, here called "the Copernican view", rules of use are constitutive of the meanings of words. This view has been linked with two doctrines: (A) the instances of meaning-constitutive rules are analytically and a priori true (...) or valid; (B) to grasp a meaning is to accept its rules. The pros and cons of different versions of the Copernican view, ascribable to Wittgenstein, Carnap, Gentzen, Dummett, Prawitz, Boghossian and other authors, will be weighed. A new version will be proposed, which implies neither (A) nor (B). (shrink)

This book presents a philosophical conception of logic -- "logical expressivism"-- according to which the role of logic is to make explicit reason relations, which are often neither monotonic nor transitive. It reveals new perspectives on inferential roles, sequent calculi, representation, truthmakers, and many extant logical theories.

The paper examines how Brandom can respond to two objections raised against another sort of inferentialism, conceptual role semantics. After a brief explanation of the difference between the motivations and the nature of the two accounts (I), I argue that externalism can be accommodated within Brandomian inferentialism (II). Then I offer a reconstruction of how Brandom tries to explain mutual understanding (III-IV). Finally I point out a problem in Brandom’s account, which is this. Brandom’s inferential roles are social (...) and normative, but he also seeks to explain cases of understanding which involve novelty and individual ingenuity which cannot be reduced to social norms (V). (shrink)

Recently several papers have reported relevance effects on the cognitive assessments of indicative conditionals, which pose an explanatory challenge to the Suppositional Theory of conditionals advanced by David Over, which is influential in the psychology of reasoning. Some of these results concern the “Equation” (P(if A, then C) = P(C|A)), others the de Finetti truth table, and yet others the uncertain and-to-inference task. The purpose of this chapter is to take a Birdseye view on the debate and investigate some of (...) the open theoretical issues posed by the empirical results. Central among these is whether to count these effects as belonging to pragmatics or semantics. (shrink)

This essay is part of a larger project aimed at making sense of rational thought and agency as part of the natural world. It provides a semantic framework for thinking about the contents of: 1) descriptive thoughts and sentences having a representational or mind-to-world direction of fit, and which manifest our capacity for theoretical rationality; and 2) prescriptive and intentional sentences having an expressive or world-to-mind direction of fit, and which manifest our capacity for practical rationality. I use a (...) modified version of Allan Gibbard’s hyperstate semantics, employing both maximally determinate possible worlds and maximally determinate plans of action, as a basis for providing a unified understanding of moral judgments and expressions of individual and collective intentionality – they one and all give voice to our ability as rational agents to adopt the perspectives of various individuals within a community and consider how we would behave were we in their positions. In the course of spelling out the view I draw on and criticize ideas that Wilfrid Sellars advanced in the middle of the 20th century, while employing the tools of contemporary modal logic and model-theoretic semantics to give perspicuous formulation to his thought that the moral judgment ‘one ought to do A’ should be understood in terms of the collective intention ‘we shall do A’, where the pronoun denotes the unrestricted class of rational agents and the ‘ought’ is in some sense unconditionally binding. (shrink)

Dummett’s justification procedures are revisited. They are used as background for the discussion of some conceptual and technical issues in proof-theoretic semantics, especially the role played by assumptions in proof-theoretic definitions of validity.

Logical inferentialism maintains that the formal rules of inference fix the meanings of the logical terms. The categoricity problem points out to the fact that the standard formalizations of classical logic do not uniquely determine the intended meanings of its logical terms, i.e., these formalizations are not categorical. This means that there are different interpretations of the logical terms that are consistent with the relation of logical derivability in a logical calculus. In the case of the quantificational logic, the (...) categoricity problem is generated by the finite nature of the standard calculi and one direction in which it can be solved is to strengthen the deductive systems by adding infinitary rules (such as the ω-rule), i.e., to construct a full formalization. Another main direction is to provide a natural semantics for the standard rules of inference, i.e., a semantics for which these rules are categorical. My aim in this paper is to analyze some recent approaches for solving the categoricity problem and to argue that a logical inferentialist should accept the infinitary rules of inference for the first order quantifiers, since our use of the expressions “all” and “there is” leads us beyond the concrete and finite reasoning, and human beings do sometimes employ infinitary rules of inference in their reasoning. (shrink)

The work of this dissertation, in a broad sense, seeks to rescue what may be in the original project or nucleus of philosophy, from its Socratic arising: the idea of elucidative rationality. This rationality is aimed at expressing our practices in a way that can be confronted with objections and alternatives. The notion of expression is central to this rationality. This centrality is elucidated by the contemporary philosopher Brandom (1994, 2000, 2008a, 2013), from his view of the semantic (...) class='Hi'>inferentialism. With this view, this dissertation, in a strict sense, investigates evidences that leads to the distinction of the inferentially expressivist tradition of syllogistic. In this semantic inferentialism, logic is the “organ of semantic self-consciousness”. In this sense, logic does not define the rational, in the most basic sense, but allows us to be aware, through inferential articulation, of the conceptual contents, which govern all our thoughts. Evidences presented in the work of this dissertation seek to show that the syllogism is marked by the logical-elucidative character of this semantic self-consciousness, because of its expressive role as inseparable from the notion of inference. In the first part of this dissertation, then, the tradition of syllogistics is examined, in which the expression is the main notion. This study is based on the tradition of syllogistics, composed of the Aristotelian school of Campinas, organized by Angioni (2014a), the logical economist Keynes (1906), and the “formalist” schools, represented mainly by the logician Łukasiewicz (1957, 1929/1963) and by Corcoran (1972, 1974, 2009, 2015). The main claims of the Campinas school are analyzed: the non-epistemological, but explanatory, exposition of (scientific) knowledge, in the syllogism, the secondary role of the notion of truth, the priority of the predicative structure, and the suggestion of approaching of the syllogistic to the relevant system of logic. In this analysis, we add the discussion about the reasoning of the epagogic type, important to the practical understanding of the “first principles”. The key points of Keynes are also discussed: the semantic priority of propositional judgment and the explanatory role of deductive inference. The second part of this dissertation discusses the relation between expression, inference and the expressive role of logic, based on the semantic inferentialism of Brandom. In order to discuss this relationship, propaedeutic questions are raised, related to the semantic role of sentences and subsentences (terms and predicates) in language, to different conceptions of logical validity, beyond the truth-functional aspect, to the logical demarcation of symbolic rules, to demarcation of logic, the idea of “formal logic”, and the removal of formal semantics from natural language concern. Next, the theoretical framework of Brandom's semantic inferentialism is presented. In this framework, the idea of philosophical semantics, pragmatisms of the semantic and conceptual type, expressivisms of the rationalist, logical and propositional conceptual type, and the semantically primitive notion of incompatibility come into play. Thus, to those who are interested in the correspondence between ancient logic and modern logic, the work of this dissertation offers a useful contribution, especially to projects of formalization of the syllogistics, which need not appeal against or in favor of a strictly formal approach to logic. (shrink)

In his program of analytic pragmatism, Robert Brandom has presented a thoroughgoing reinterpretation of the place of analytic philosophy in the history of philosophy by linking his own non-representational ‘inferentialist’ approach to semantics to the rationalist – idealist tradition, and in particular, to Hegel. Brandom, however, has not been without his critics in regard to both his approach to semantics and his interpretation of Hegel. Here I single out four interlinked problematic areas facing Brandom's inferentialist semantics – his approach of (...) perceptual content, to de re attitudes, to perceptual experience and to modality, and then go on to contrast the different approach to these issues that is found in Hegel. While Hegel can helpfully be understood as anticipating an inferentialist semantics as Brandom claims, his is a weak inferentialism in contrast to Brandom's strong version. With his weakly inferentialist approach Hegel can, I suggest, be seen as providing a solution to the tangle of problems.. (shrink)

We present an inferentialist account of the epistemic modal operator might. Our starting point is the bilateralist programme. A bilateralist explains the operator not in terms of the speech act of rejection ; we explain the operator might in terms of weak assertion, a speech act whose existence we argue for on the basis of linguistic evidence. We show that our account of might provides a solution to certain well-known puzzles about the semantics of modal vocabulary whilst retaining classical logic. (...) This demonstrates that an inferentialist approach to meaning can be successfully extended beyond the core logical constants. (shrink)

This article analyzes whether Brandom’s ISA (inferential-substitutional-anaphoric) semantics as presented in Making It Explicit (MIE) and Articulating Reasons (AR) can cope with problems resulting from inferentialism’s near-implied meaning holism. Inferentialism and meaning holism entail a radically perspectival conception of content as significance for an individual speaker. Since thereby its basis is fixed as idiolects, holistic inferentialism engenders a communication-problem. Brandom considers the systematic difference in information among individuals as the „point“ of communication and thus doesn’t want to (...) diminish these effects of inferentialism. Instead, explains communication with a model of “navigating among perspectives without sharing contents”. The crucial element in this navigation-model is the functioning of anaphoric connections between tokens uttered in discourse that can be used by every individual speaker in their own perspectival semantic substitution-economies. The heart of Brandom’s semantics is the thesis of the purely inferential, hence non-referential nature of anaphora, coupled with the claim that anaphoric-inferential semantic mechanisms yield sufficient conditions for mutually successful “information-extraction” or interpretation. This article disputes the thesis and denies the claim. Regarding the former it is observed that all of Brandom’s plausible reconstructions of anaphoric discourse-structures rely on covert “reference-infiltrations” that can’t be eliminated. Regarding the latter, a new argument based on context-sensitive semantic phenomena in anaphoric settings shows that the crucial distinction between initiator or anaphoric antecedent and anaphoric dependent cannot be drawn according to Brandom’s own premises without overt and irreducible referential premises. The article concludes that either Brandom’s semantics can offer determinate contents, but then must accept genuinely referential semantic primitives, or else it leaves utterance-contents undeterminable and hence cannot explain communication. (shrink)

In this broad interview Robert Brandom talks about many themes concerning his work and about his career and education. Brandom reconstructs the main debts that he owes to colleagues and teachers, especially Wilfrid Sellars, Richard Rorty, and David Lewis, and talks about the projects he’s currently working on. He also talks about contemporary and classical pragmatism, and of the importance of classical thinkers like Kant and Hegel for contemporary debates. Other themes go deeper into the principal topics of his theoretical (...) work – in particular, his later understanding of expressivism, his take on the debate between representationalists and anti-representationalists in semantics, the main open problems for his wide inferentialist project, and his methodological preference for the normative vocabulary in his account of discursive practice. Finally, Brandom touches on the epistemic role of perception and on his views about the importance of the phenomenological aspects of perceptual experience. (shrink)

This book concerns the metasemantics of quantum mechanics (QM). Roughly, it pursues an investigation at an intersection of the philosophy of physics and the philosophy of semantics, and it offers a critical analysis of rival explanations of the semantic facts of standard QM. Two problems for such explanations are discussed: categoricity and permanence of rules. New results include 1) a reconstruction of Einstein's incompleteness argument, which concludes that a local, separable, and categorical QM cannot exist, 2) a reinterpretation of (...) Bohr's principle of correspondence, grounded in the principle of permanence, 3) a meaning-variance argument for quantum logic, which follows a line of critical reflections initiated by Weyl, and 4) an argument for semantic indeterminacy leveled against inferentialism about QM, inspired by Carnap's work in the philosophy of classical logic. (shrink)

An adequate semantics for generic sentences must stake out positions across a range of contested territory in philosophy and linguistics. For this reason the study of generic sentences is a venue for investigating different frameworks for understanding human rationality as manifested in linguistic phenomena such as quantification, classification of individuals under kinds, defeasible reasoning, and intensionality. Despite the wide variety of semantic theories developed for generic sentences, to date these theories have been almost universally model-theoretic and representational. This essay (...) outlines a range of proof-theoretic analyses for characterizing generics. Particular attention is given to an expressivist proof-theory that can be traced to 1) work on logical syntax that Carnap undertook prior to his turn toward truth-conditional model theory in the late 1930s, and 2) research on sequent calculi and natural deduction systems that originate in work from Gentzen and Prawitz.1. (shrink)

A priori theories of justification of logic based on meaning often lead to trouble, in particular to issues concerning circularity. First, I present Boghossian’s a prioriview. Boghossian maintains the rule-circular justifications from a conceptual role semantics. However, rule-circular justifications are problematic. Recently, Boghossian (Boghossian, 2015) has claimed that rules should be thought of as contents and contents as abstract objects. In this paper, I discuss Boghossian’s view. My argumentation consists of three main parts. First, I analyse several arguments to show (...) that in fact, Boghossian’s inferentialist solution is not fully satisfying. Second, I discuss the matter further, if one accepts that basic logical rules are constitutive of meaning, that is, they constitute the logical concepts and the content of a rule is an abstract object, then abstract objects — like, for example, rules — could be constitutive of meaning. The question is whether conceptual priority is in the judgment or in the object and what theory of content is pursued. Grasping content as a matter of knowing how a word or concept behaves in inferences is not completely explicative. Finally, I contend that rules come to exist as a result of certain kinds of mental action. These actions function as constitutive norms. Logical rules are not abstract objects but ideal. What one construes as norms or rules of content may involve idealization, but this is because we share a language. (shrink)

Philosophers of language are increasingly engaging with derogatory terms or slurs. Only few theorists take such language as a starting point for addressing puzzles in philosophy of language with little connection to our real-world problems. This paper aims to show that the political nature of derogatory language use calls for non-ideal theorising as we find it in the work of feminist and critical race scholars. Most contemporary theories of slurs, so I argue, fall short on some desiderata associated with a (...) non-ideal approach. They neglect crucial linguistic or political aspects of morally and politically significant meaning. I argue that a two-stage project is necessary to understand the perniciousness of slurs: accounting for the derogatory content of derogatory terms in general and, additionally, explaining the communicative function of slurs more specifically. I end by showing how inferentialism is well-suited to account for the content of derogatory terms whilst allowing for further explanations of the communicative functions of slurs. (shrink)

Philosophical debate about the meaning of normative terms has long been pulled in two directions by the apparently competing ideas: (i) ‘ought’s do not describe what is actually the case but rather prescribe possible action, thought, or feeling, (ii) all declarative sentences deserve the same general semantic treatment, e.g. in terms of compositionally specified truth conditions. In this paper, I pursue resolution of this tension by rehearsing the case for a relatively standard truth-conditionalist semantics for ‘ought’ conceived as a (...) necessity modal and proposing a revision to it motivated by the distinctively prescriptive character of some deontic modals. In my view, this puts pressure on a popular conception of one of the core debates of metanormative theory between realists and antirealists. To make good on this claim, I go on to explore two very general ways we might interpret the results of compositional semantics—“representationalism” and “inferentialism”—in order to argue that, contrary to what is generally assumed, both can capture the special prescriptivity of ‘ought’ and both can countenance compositionally specified and informative truth-conditions for ought-sentences. Hence, my main thesis is that the deciding factor between them should not be which of ideas (i) and (ii) we are more impressed by but rather what we think of the relative merits of how representationalism and inferentialism respect these ideas. I’m inclined to favor an antirealist form of inferentialism, but the task I’ve set myself here is mainly to articulate the view in the context of metanormative theory and the semantics of deontic modals rather than try to defend it fully. To this purpose, towards the end I also briefly compare and contrast inferentialism with a third “ideationalist” metasemantic view, which may be an attractive home for some sophisticated versions of metanormative expressivism. Depending on how expressivism is worked out, it may be completely compatible with and so perhaps usefully combined with inferentialism or it may offer a competing way to respect ideas (i) and (ii). (shrink)

It is widely held that truth and reference play an indispensable explanatory role in theories of meaning. By contrast, so-called deflationists argue that the functions of these concepts are merely expressive and never explanatory. Robert Brandom has proposed both a variety of deflationism — the anaphoric theory —, and a theory of meaning — inferentialism — which doesn’t rely on truth or reference. He argues that the anaphoric theory counts against his (chiefly referentialist) rivals in the debate on meaning (...) and thereby paves the way for inferentialism. In this paper, I give a friendly reconstruction of anaphoric deflationism (section II) and point to a distinguishing feature of the theory with respect to other deflationist proposals. While Brandom simply assumes, but doesn’t earn this feature, I propose a natural argument to justify it (section III). Then, however, I point out a subtle but clear sense in which truth and reference can play a role in explaining meaning, even if the anaphoric theory holds. Thus, anaphoric deflationism will turn out to be neutral in the debate on meaning (section IV). (shrink)

We develop a novel solution to the negation version of the Frege-Geach problem by taking up recent insights from the bilateral programme in logic. Bilateralists derive the meaning of negation from a primitive *B-type* inconsistency involving the attitudes of assent and dissent. Some may demand an explanation of this inconsistency in simpler terms, but we argue that bilateralism’s assumptions are no less explanatory than those of *A-type* semantics that only require a single primitive attitude, but must stipulate inconsistency elsewhere. Based (...) on these insights, we develop a version of B-type expressivism called *inferential expressivism*. This is a novel semantic framework that characterises meanings by inferential roles that define which *attitudes* one can *infer* from the use of terms. We apply this framework to normative vocabulary, thereby solving the Frege-Geach problem generally and comprehensively. Our account moreover includes a semantics for epistemic modals, thereby also explaining normative terms under epistemic modals. (shrink)

A system of logic usually comprises a language for which a model-theory and a proof-theory are defined. The model-theory defines the semantic notion of model-theoretic logical consequence (⊨), while the proof-theory defines the proof- theoretic notion of logical consequence (or logical derivability, ⊢). If the system in question is sound and complete, then the two notions of logical consequence are extensionally equivalent. The concept of full formalization is a more restrictive one and requires in addition the preservation of the (...) standard meanings of the logical terms in all the admissible interpretations of the logical calculus, as it is proof-theoretically defined. Although classical first-order logic is sound and complete, its standard formalizations fall short to be full formalizations since they allow non-intended interpretations. This fact poses a challenge for the logical inferentialism program, whose main tenet is that the meanings of the logical terms are uniquely determined by the formal axioms or rules of inference that govern their use in a logical calculus, i.e., logical inferentialism requires a categorical calculus. This paper is the first part of a more elaborated study which will analyze the categoricity problem from its beginning until the most recent approaches. I will first start by describing the problem of a full formalization in the general framework in which Carnap (1934/1937, 1943) formulated it for classical logic. Then, in sections IV and V, I shall discuss the way in which the mathematicians B.A. Bernstein (1932) and E.V. Huntington (1933) have previously formulated and analyzed it in algebraic terms for propositional logic and, finally, I shall discuss some critical reactions Nagel (1943), Hempel (1943), Fitch (1944), and Church (1944) formulated to these approaches. (shrink)

I argue that one need not be an inferentialist in order to model inconsistent concepts, contrary to what some have thought. Representationalists can do so by adopting a form of bilateralism about contents. It remains unclear, however, why conceptual inconsistency would constitute a defect to be eliminated, rather than a vindication of dialetheism to be embraced. I suggest some answers to explore that involve accepting a descriptive form of dialetheism but denying its normative forms.

Many normative judgments play a practical role in our thought. This paper concerns how their practical role is reflected in language. It is natural to wonder whether the phenomenon is semantic or pragmatic. The standard assumption in moral philosophy is that at least terms which can be used to express “thin” normative concepts – such as 'good', 'right', and 'ought' – are associated with certain practical roles somehow as a matter of meaning. But this view is rarely given explicit (...) defense or even articulation. I’ll consider several versions of the view, and argue that even the most promising among them are problematic. Terms like 'ought' are often used in ways where their customary practical role is absent. Such cases give us a choice: either offer some plausible explanation of why the relevant practical upshots don’t show up in these cases despite featuring in our semantic theory for these expressions, or else don’t build them into that theory. I argue that plausible explanations of the requisite sort aren’t forthcoming in either descriptive semantics or metasemantics for normative language. In closing I briefly consider the prospects for a pragmatic account of the phenomenon and some broader ramifications for metaethics and the philosophy of normativity. (shrink)

It is argued that although George Bealer's influential ‘Self-Consciousness argument’ refutes standard versions of reductive functionalism (RF), it fails to generalize in the way Bealer supposes. To wit, he presupposes that any version of RF must take the content of ‘pain’ to be the property of being in pain (and so on), which is expressly rejected in independently motivated versions of conceptual role semantics (CRS). Accordingly, there are independently motivated versions of RF, incorporating CRS, which avoid Bealer's main type of (...) refutation. I focus particularly on one such theory, which takes concepts to be event types that are individuated by their psychological roles, which has the resources of responding to each of the more specific worries Bealer expresses. (shrink)

Due to Gӧdel’s incompleteness results, the categoricity of a sufficiently rich mathematical theory and the semantic completeness of its underlying logic are two mutually exclusive ideals. For first- and second-order logics we obtain one of them with the cost of losing the other. In addition, in both these logics the rules of deduction for their quantifiers are non-categorical. In this paper I examine two recent arguments –Warren (2020), Murzi and Topey (2021)– for the idea that the natural deduction rules (...) for the first-order universal quantifier are categorical, i.e., they uniquely determine its semantic intended meaning. Both of them make use of McGee’s open-endedness requirement and the second one uses in addition Garson’s (2013) local models for defining the validity of these rules. I argue that the success of both these arguments is relative to their semantic or infinitary assumptions, which could be easily discharged if the introduction rule for the universal quantifier is taken to be an infinitary rule, i.e. non-compact. Consequently, I reconsider the use of the ω-rule and I show that the addition of the ω-rule to the standard formalizations of first-order logic is categorical. In addition, I argue that the open-endedness requirement does not make the first-order Peano Arithmetic categorical and I advance an argument for its categoricity based on the inferential conservativity requirement. (shrink)

This paper explains three ways to develop a conceptual role view of meaning in metaethics. First, it suggests that there’s a way to combine inspiration from noncognitivism with a particular form of the conceptual role view to form a noncognitivist view with distinctive advantages over other noncognitivist views. Second, it suggests that there’s also a way to combine a strong commitment to cognitivism with a different form of the conceptual role view to form a version of cognitivism with distinctive advantages (...) over other cognitivist views. Finally, it suggests that there's another way to think of the conceptual role view in metaethics is as opening up the space for a third way, beyond cognitivism and noncognitivism. (shrink)

This paper presents and motivates a new philosophical and logical approach to truth and semantic paradox. It begins from an inferentialist, and particularly bilateralist, theory of meaning---one which takes meaning to be constituted by assertibility and deniability conditions---and shows how the usual multiple-conclusion sequent calculus for classical logic can be given an inferentialist motivation, leaving classical model theory as of only derivative importance. The paper then uses this theory of meaning to present and motivate a logical system---ST---that conservatively extends (...) classical logic with a fully transparent truth predicate. This system is shown to allow for classical reasoning over the full (truth-involving) vocabulary, but to be non-transitive. Some special cases where transitivity does hold are outlined. ST is also shown to give rise to a familiar sort of model for non-classical logics: Kripke fixed points on the Strong Kleene valuation scheme. Finally, to give a theory of paradoxical sentences, a distinction is drawn between two varieties of assertion and two varieties of denial. On one variety, paradoxical sentences cannot be either asserted or denied; on the other, they must be both asserted and denied. The target theory is compared favourably to more familiar related systems, and some objections are considered. (shrink)

This paper aims to provide a mathematically tractable background against which to model both modal cognitivism and modal expressivism. I argue that epistemic modal algebras, endowed with a hyperintensional, topic-sensitive epistemic two-dimensional truthmaker semantics, comprise a materially adequate fragment of the language of thought. I demonstrate, then, how modal expressivism can be regimented by modal coalgebraic automata, to which the above epistemic modal algebras are categorically dual. I examine five methods for modeling the dynamics of conceptual engineering for intensions and (...) hyperintensions. I develop a novel topic-sensitive truthmaker semantics for dynamic epistemic logic, and develop a novel dynamic epistemic two-dimensional hyperintensional semantics. I examine then the virtues unique to the modal expressivist approach here proffered in the setting of the foundations of mathematics, by contrast to competing approaches based upon both the inferentialist approach to concept-individuation and the codification of speech acts via intensional semantics. (shrink)