Minimal Semantics asks what a theory of literal linguistic meaning is for - if you were to be given a working theory of meaning for a language right now, what would you be able to do with it? Emma Borg sets out to defend a formal approach to semantic theorising from a relatively new type of opponent - advocates of what she call 'dual pragmatics'. According to dual pragmatists, rich pragmatic processes play two distinct roles in linguistic comprehension: (...) as well as operating in a post-semantic capacity to determine the implicatures of an utterance, they also operate prior to the determination of truth-conditional content for a sentence. That is to say, they have an integral role to play within what is usually thought of as the semantic realm. Borg believes dual pragmatic accounts constitute the strongest contemporary challenge to standard formal approaches to semantics since they challenge the formal theorist to show not merely that there is some role for formal processes on route to determination of semantic content, but that such processes are sufficient for determining content. Minimal Semantics provides a detailed examination of this school of thought, introducing readers who are unfamiliar with the topic to key ideas like relevance theory and contextualism, and looking in detail at where these accounts diverge from the formal approach. Borg's defence of formal semantics has two main parts: first, she argues that the formal approach is most naturally compatible with an important and well-grounded psychological theory, namely the Fodorian modular picture of the mind. Then she argues that the main arguments adduced by dual pragmatists against formal semantics - concerning apparent contextual intrusions into semantic content - can in fact be countered by a formal theory. The defence holds, however, only if we are sensitive to the proper conditions of success for a semantic theory. Specifically, we should reject a range of onerous constraints on semantic theorizing (e.g., that it answer epistemic or metaphysical questions, or that it explain our communicative skills) and instead adopt a quite minimal picture of semantics. (shrink)

In this paper I will tackle three issues. First, I aim to briefly outline the backbone of semantic minimalism, while focusing on the idea of ‘liberal truth conditions’ developed by Emma Borg in her book ‘Minimal Semantics’. Secondly, I will provide an account of the three principal views in legal interpretation: intentionalism, textualism and purposivism. All of them are based on a common denominator labelled by lawyers ‘literal meaning’. In the paper I suggest a novel way of viewing (...) this common denominator as almost identical to the Borgian ‘liberal truth conditions’, at least at a conceptual level. In the third section I will focus on the conceptual similarities between the two ideas. I intend to depict that, although legal theorists do not admit it explicitly, they treat literal legal meaning as minimal propositional content that can be ascribed liberal truth conditions. There are two main objections to liberal truth conditions: their under-determinacy and unintuitive character. Both objections can be applied to ‘literal meaning’. However, the idea of liberal truth conditions gives an adequate account of what lawyers call literal meaning and is helpful in explaining the mechanism of understanding of provisions and reasons leading to the necessity of statutory interpretation. (shrink)

Chomsky’s (1995, 2000a) Minimalist Program (MP) invites a perspective on semantics that is distinctive and attractive. In section one, I discuss a general idea that many theorists should find congenial: the spoken or signed languages that human children naturally acquire and use— henceforth, human languages—are biologically implemented procedures that generate expressions, whose meanings are recursively combinable instructions to build concepts that reflect a minimal interface between the Human Faculty of Language (HFL) and other cognitive systems. In sections two (...) and three, I develop this picture in the spirit of MP, in part by asking how much of the standard Frege-Tarski apparatus is needed in order to provide adequate and illuminating descriptions of the “concept assembly instructions” that human languages can generate. I’ll suggest that we can make do with relatively little, by treating all phrasal meanings as instructions to assemble number-neutral concepts that are monadic and conjunctive. But the goal is not to legislate what counts as minimal in semantics. Rather, by pursuing one line of Minimalist thought, I hope to show how such thinking can be fruitful. (shrink)

Emma Borg has defined semantic minimalism as the thesis that the literal content of well-formed declarative sentences is truth-evaluable, fully determined by their lexico-syntactic features, and recoverable by language users with no need to access non-linguistic information. The task of this article is threefold. First, I shall raise a criticism to Borg’s minimalism based on how speakers disambiguate homonymy. Second, I will explore some ways Borg might respond to my argument and maintain that none of them offers a conclusive reply (...) to my case. Third, I shall suggest that in order for Borg’s minimalism to best accommodate the problem discussed in this paper, it should allow for semantically incomplete content and be converted into a claim about linguistic competence. (shrink)

Minimal Negation is defined within the basic positive relevance logic in the relational ternary semantics: B+. Thus, by defining a number of subminimal negations in the B+ context, principles of weak negation are shown to be isolable. Complete ternary semantics are offered for minimal negation in B+. Certain forms of reductio are conjectured to be undefinable (in ternary frames) without extending the positive logic. Complete semantics for such kinds of reductio in a properly extended positive (...) logic are offered. (shrink)

Different similarity relations on sets are introduced, and their logical properties are investigated. Close relationships are shown to hold between similarity relations that are based on symmetrical difference and operators of belief contraction that are based on relational selection functions. Two new rationality criteria for minimal belief contraction, the maximizing property and the reducing property, are proposed.

Herman Cappelen and Ernie Lepore’s book is ultimately a defense of their self-styled Semantic Minimalism, but it’s mainly a protracted assault on semantic Contextualism, both moderate and radical. They argue at length that Moderate Contextualism leads inevitably to Radical Contextualism and at greater length that Radical Contextualism is misguided. Supposing that “[Radical Contextualism] is the logical consequence of denying Semantic Minimalism”, they think they have given an indirect argument for their version of Semantic Minimalism. But they overlook a third view, (...) one that splits the difference between the other two. Like Contextualism it rejects Propositionalism, the conservative dogma that every indexical-free declarative sentence expresses a proposition. Unlike Contextualism, it does not invoke context to fill semantic gaps and, indeed, denies that filling those gaps is a semantic matter. Like Cappelen and Lepore’s brand of Semantic Minimalism, it rejects the very idea of pragmatic intrusion into semantic content. However, in rejecting Propositionalism, it is more radical, indeed, more minimalist than their version of Semantic Minimalism. It does not imagine that sentences that intuitively seem not to express propositions at least express “minimal propositions.” Radical Semantic Minimalism, or simply Radicalism, says that the sentences in question are semantically incomplete—their semantic contents are not propositions but merely “propositional radicals.”. (shrink)

A provocative ontological-cum-semantic position asserting that the right ontology is austere in its exclusion of numerous common-sense and scientific posits and that many statements employing such posits are nonetheless true. The authors of Austere Realism describe and defend a provocative ontological-cum-semantic position, asserting that the right ontology is minimal or austere, in that it excludes numerous common-sense posits, and that statements employing such posits are nonetheless true, when truth is understood to be semantic correctness under contextually operative semantic standards. (...) Terence Horgan and Matjaz Potrc argue that austere realism emerges naturally from consideration of the deep problems within the naive common-sense approach to truth and ontology. They offer an account of truth that confronts these deep internal problems and is independently plausible: contextual semantics, which asserts that truth is semantically correct affirmability. Under contextual semantics, much ordinary and scientific thought and discourse is true because its truth is indirect correspondence to the world. After offering further arguments for austere realism and addressing objections to it, Horgan and Potrc consider various alternative austere ontologies. They advance a specific version they call "blobjectivism"--the view that the right ontology includes only one concrete particular, the entire cosmos, which, although it has enormous local spatiotemporal variability, does not have any proper parts. The arguments in Austere Realism are powerfully made and concisely and lucidly set out. The authors' contentions and their methodological approach--products of a decade-long collaboration--will generate lively debate among scholars in metaphysics, ontology, and philosophy. (shrink)

Ontologically minimal truth law semantics are provided for various branches of formal logic (classical propositional logic, S5 modal propositional logic, intuitionistic propositional logic, classical elementary predicate logic, free logic, and elementary arithmetic). For all of them logical validity/truth is defined in an ontologically minimal way, that is, not via truth value assignments or interpretations. Semantical soundness and completeness are proved (in an ontologically minimal way) for a calculus of classical elementary predicate logic.

The authors of Austere Realism describe and defend a provocative ontological-cum-semantic position, asserting that the right ontology is minimal or austere, in that it excludes numerous common-sense posits, and that statements employing such posits are nonetheless true, when truth is understood to be semantic correctness under contextually operative semantic standards. Terence Horgan and Matjaz [hacek over z] Potrc [hacek over c] argue that austere realism emerges naturally from consideration of the deep problems within the naive common-sense approach to truth (...) and ontology. They offer an account of truth that confronts these deep internal problems and is independently plausible: contextual semantics, which asserts that truth is semantically correct affirmability. Under contextual semantics, much ordinary and scientific thought and discourse is true because its truth is indirect correspondence to the world. After offering further arguments for austere realism and addressing objections to it, Horgan and Potrc [hacek over c] consider various alternative austere ontologies. They advance a specific version they call "blobjectivism"--the view that the right ontology includes only one concrete particular, the entire cosmos, which, although it has enormous local spatiotemporal variability, does not have any proper parts. The arguments in Austere Realism are powerfully made and concisely and lucidly set out. The authors' contentions and their methodological approach--products of a decade-long collaboration--will generate lively debate among scholars in metaphysics, ontology, and philosophy. Terence E. Horgan is Professor of Philosophy at the University of Arizona. Matjaz [hacek over z] Potrc [hacek over c] is Professor of Philosophy at the University of Ljubljana. (shrink)

Insensitive Semantics is mainly a protracted assault on semantic Contextualism, both moderate and radical. Cappelen and Lepore argue that Moderate Contextualism leads inevitably, like marijuana to heroin or masturbation to blindness, to Radical Contextualism and in turn that Radical Contextualism is misguided. Assuming that the only alternative to Contextualism is their Semantic Minimalism, they think they’ve given an indirect argument for it. But they overlook a third view, one that splits the difference between the other two. Like Contextualism it (...) rejects Propositionalism, the conservative dogma that every indexicalfree declarative sentence expresses a proposition. Unlike Contextualism, it does not invoke context to fill semantic gaps and, indeed, denies that filling those gaps is a semantic matter. In rejecting Propositionalism, it is more radical, indeed, more minimalist than Cappelen and Lepore’s brand of Semantic Minimalism. It does not imagine that sentences that intuitively seem not to express propositions at least express “minimal propositions.” Radical Semantic Minimalism, or simply Radicalism, says that the sentences in question are semantically incomplete – their semantic contents are not propositions but merely “propositional radicals.”. (shrink)

In our article, “Past Facts and The Nature of History”, we unpack a broadly realist view of the nature of history and historical narratives. Paul Roth’s The Philosophical Structure of Historical Explanation serves as our primary foil. Fons DeWulf and Roth have replied, and this is our response to their response.

In this paper we study a new operator of strong modality ⊞, related to the non-contingency operator ∆. We then provide soundness and completeness theorems for the minimal logic of the ⊞-operator.

Review of Horgan and Potrc (2008). I discuss both their linguistic and ontological theses.

Sylvan and Plumwood’s is the relevant De Morgan minimal logic in the Routley-Meyer semantics with a set of designated points. The aim of this paper is to define the logic and some of its extensions. The logic is the non-relevant De Morgan minimal logic in the Routley-Meyer semantics without a set of designated points.

Minimal semantics is sometimes characterised as a ‘neo-Gricean’ approach to meaning. This label seems reasonable since a key claim of minimal semantics is that the minimal contents possessed by sentences (akin to Grice’s technical notion of ‘what is said by a sentence’) need not be (and usually are not) what is communicated by a speaker who utters those sentences. However, given an affinity between the two approaches, we might expect that a well-known challenge for the (...) Gricean – namely that their account fails to fit with the psychological evidence concerning linguistic understanding – could also be levelled at the minimalist, and indeed this seems to be the basis of Recanati’s challenge to minimalism from his ‘availability principle’ (Recanati 2004). This paper aims to explore the relationship between semantics and psychology and show how both Gricean and minimalist approaches can avoid the challenge from psychological evidence. I conclude by suggesting that the way in which minimalism avoids this challenge also helps the account to defuse Clapp’s ‘naturalistic objection’ (Clapp 2007) that there are no grounds for selecting a correct minimal semantic theory. (shrink)

This is the first in a series of instalments aiming at a minimal model explanation for conscious experience, taking the phenomenal character of “pure consciousness” or “pure awareness” in meditation as its entry point. It develops the concept of “minimal phenomenal experience” as a candidate for the simplest form of consciousness, substantiating it by extracting six semantic constraints from the existing literature and using sixteen phenomenological case-studies to incrementally flesh out the new working concept. One empirical hypothesis is (...) that the phenomenological prototype of “pure awareness”, to which all such reports refer, really is the content of a predictive model, namely, a Bayesian representation of tonic alertness. On a more abstract conceptual level, it can be described as a model of an unpartitioned epistemic space. (shrink)

The starting point for this paper is a critical discussion of claims of psychological reality articulated within Borg’s (forth.) minimal semantics and Carpintero’s (2007) character*-semantics. It has been proposed, for independent reasons, that their respective accounts can accommodate, or at least avoid the challenge from psychological evidence. I outline their respective motivations, suggesting various shortcomings in their efforts of preserving the virtues of an uncontaminated semantics in the face of psychological objection (I-II), and try to make (...) the case that, at least for a theory of utterance comprehension, a truth-conditional pragmatic stance is far preferable. An alternative from a relevance-theoretic perspective is offered in terms of mutual adjustment between truth-conditional content and implicature(s), arguing that many “free” pragmatic processes are needed to uncover the truth-conditional content, which can then warrant the expected implicature(s) (III). I finally illustrate the difficulties their accounts have in predicting the correct order of interpretation in cases of ironic metaphor, i.e. metaphor is computed first, as part of truth-conditional content, while irony is inferentially grounded in metaphorical content (IV). (shrink)

According to semantic minimalism, context-invariant minimal semantic propositions play an essential role in linguistic communication. This claim is key to minimalists’ argument against semantic contextualism: if there were no such minimal semantic propositions, and semantic content varied widely with shifts in context, then it would be “miraculous” if communication were ever to occur. This paper offers a critical examination of the minimalist account of communication, focusing on a series of examples where communication occurs without a minimal semantic (...) proposition shared between speaker and hearer. The only way for minimalists to respond to these examples is by restricting the scope of their account to intra-lingual communication. It can then be shown that the minimalist’s notion of a language shrinks to a point, such that practically no instances of communication will fall under that account, and that the retreat to intra-lingual communication is in any case self-defeating, since the only way for minimalists to account for the individuation of languages is by resort to precisely the kinds of contextual considerations they abjured in the first place. In short, if, as minimalists allege, contextualism founders because it renders communication contingent on speaker and hearer sharing a context, it can now be seen that minimalism faces a parallel problem because it renders communication contingent on speaker and hearer sharing a language. I end by arguing that the possibility of communication cannot, as minimalists assume, be grounded in shared semantic conventions; rather, successful communication must precede the establishment of any particular set of semantic conventions. (shrink)

In the recent debate about the semantics of perspectival expressions, disagreement has played a crucial role. In a nutshell, what I call “the challenge from disagreement” is the objection that certain views on the market cannot account for the intuition of disagreement present in ordinary exchanges involving perspectival expressions like “Licorice is tasty./no, it’s not.” Various contextualist answers to this challenge have been proposed, and this has led to a proliferation of notions of disagreement. It is now accepted in (...) the debate that there are many notions of disagreement and that the search for a common, basic notion is misguided. In this paper I attempt to find such a basic notion underneath this diversity. The main aim of the paper is to motivate, forge and defend a notion of “minimal disagreement” that has beneficial effects for the debate over the semantics of perspectival expressions. (shrink)

A standard objection to so-called ‘minimal semantics’ (Borg 2004, 2012, Cappelen and Lepore 2005) is that minimal contents are explanatorily redundant as they play no role in an adequate account of linguistic communication (those making this objection include Levinson 2000, Carston 2002, Recanati 2004). This paper argues that this standard objection is mistaken. Furthermore, I argue that seeing why the objection is mistaken sheds light both on how we should draw the classic Gricean distinction between saying and (...) implicating, and how we should think about the key philosophical notion of assertion. Specifically, it reveals that these ideas are best understood primarily in socio-linguistic terms (resting on the degree of liability a speaker is held to have for linguistically conveyed content). (shrink)

Semantic Minimalists make a proprietary claim to explaining the possibility of utterances sharing content across contexts. Further, they claim that an inability to explain shared content dooms varieties of Contextualism. In what follows, I argue that there are a series of barriers to explaining shared content for the Minimalist, only some of which the Contextualist also faces, including: (i) how the type-identity of utterances is established, (ii) what counts as repetition of type-identical utterances, (iii) how it can be determined whether (...) semantically minimal content has been repeated, and (iv) what the nature of such content is. (shrink)

This paper aims to argue for two related statements: first, that formal semantics should not be conceived of as interpreting natural language expressions in a single model (a very large one representing the world as a whole, or something like that) but as interpreting them in many different models (formal counterparts, say, of little fragments of reality); second, that accepting such a conception of formal semantics yields a better comprehension of the relation between semantics and pragmatics and (...) of the role to be played by formal semantics in the general enterprise of understanding meaning. For this purpose, three kinds of arguments are given: firstly, empirical arguments showing that the many models approach is the most straightforward and natural way of giving a formal counterpart to natural language sentences. Secondly, logical arguments proving the logical impossibility of a single universal model. And thirdly, theoretical arguments to the effect that such a conception of formal semantics fits in a natural and fruitful way with pragmatic theories and facts. In passing, this conception will be shown to cast some new light on the old problems raised by liar and sorites paradoxes. (shrink)

In this paper, we give a constructive nonstandard model of intuitionistic arithmetic (Heyting arithmetic). We present two axiomatisations of the model: one finitary and one infinitary variant. Using the model these axiomatisations are proven to be conservative over ordinary intuitionistic arithmetic. The definition of the model along with the proofs of its properties may be carried out within a constructive and predicative metatheory (such as Martin-Löf's type theory). This paper gives an illustration of the use of sheaf semantics to (...) obtain effective proof-theoretic results.The axiomatisations of nonstandard intuitionistic arithmetic (to be calledHAIandHAIωrespectively) as well as their model are based on the construction in [5] of a sheaf model for arithmetic using a site of filters. In this paper we present a “minimal” version of this model, built instead on a suitable site of provable filter bases. The construction of this site can be viewed as an extension of the well-known construction of the classifying topos for a geometric theory which uses “syntactic sites”. (Such sites can in fact be used to prove semantical completeness of first order logic in a strictly constructive framework, see [6].)We should mention that for classical nonstandard arithmetics there are several nonconstructive methods of proving conservativity over arithmetic, e.g. the compactness theorem, Mac Dowell–Specker's theorem [3]. (shrink)

In this paper, we give a constructive nonstandard model of intuitionistic arithmetic (Heyting arithmetic). We present two axiomatisations of the model: one finitary and one infinitary variant. Using the model these axiomatisations are proven to be conservative over ordinary intuitionistic arithmetic. The definition of the model along with the proofs of its properties may be carried out within a constructive and predicative metatheory (such as Martin-Löf's type theory). This paper gives an illustration of the use of sheaf semantics to (...) obtain effective proof-theoretic results.The axiomatisations of nonstandard intuitionistic arithmetic (to be calledHAIandHAIωrespectively) as well as their model are based on the construction in [5] of a sheaf model for arithmetic using a site of filters. In this paper we present a “minimal” version of this model, built instead on a suitable site of provable filter bases. The construction of this site can be viewed as an extension of the well-known construction of the classifying topos for a geometric theory which uses “syntactic sites”. (Such sites can in fact be used to prove semantical completeness of first order logic in a strictly constructive framework, see [6].)We should mention that for classical nonstandard arithmetics there are several nonconstructive methods of proving conservativity over arithmetic, e.g. the compactness theorem, Mac Dowell–Specker's theorem [3]. (shrink)

Verificationism has been a hallmark of logical empiricism. According to this principle, a sentence is insignificant in a certain sense if its truth value cannot be determined. Although logical empiricists strove for decades to develop an adequate principle of verification, they failed to resolve its problems. This led to a general abandonment of the verificationist project in the early 1960s. In the last 50 years, this view has received tremendously bad press. Today it is mostly regarded as an outdated historical (...) concept. Theories that have evolved since the abandonment of verificationism can, however, help overcome some of its key problems. More specifically, an adequate criterion of significance can be derived from a combination of modern theories of justification and belief revision, along with a formal semantics for counterfactuals. In view of these potential improvements, the abandonment of verificationism appears premature. Half a century following its decline, it might be about time to revisit this disreputable view. The author argues in favor of a weak form of verificationism. This approach could be referred to as minimal verificationism, as it involves a weakening of traditional verificationist principles in various respects while maintaining their core idea. (shrink)

My aim in this note is to address the question of how a context of utterance can figure within a formal, specifically truth-conditional, semantic theory. In particular, I want to explore whether a formal semantic theory could, or should, take the intentional states of a speaker to be relevant in determining the literal meaning of an uttered sentence. The answer I’m going to suggest, contrary to the position of many contemporary formal theorists, is negative. The structure of this note is (...) then as follows: first, I’ll very briefly sketch three distinct forms of semantic theory. One, ‘strong formal semantics’, will be seen to be immediately problematic, leaving us with two other options: use-based theories and what I’ll term ‘moderate formal semantics’. If we opt for the latter position, the question arises of what kinds of appeals to a context of utterance are legitimate given a formal outlook. I’ll suggest that this question arises in two distinct ways and explore the moderate formal semanticist’s position in regard to both. However, the conclusion I will reach is that what is characteristic of formal semantics is that it makes only the most minimal semantic concessions to context. (shrink)

In this paper we present a characterization of hyper-connexivity by means of a relating semantics for Boolean connexive logics. We also show that the minimal Boolean connexive logic is Abelardian, strongly consistent, Kapsner strong and antiparadox. We give an example showing that the minimal Boolean connexive logic is not simplificative. This shows that the minimal Boolean connexive logic is not totally connexive.

Based on a crowdsourced truth value judgment experiment, we provide empirical evidence challenging two classical views in semantics, and we develop a novel account of counterfactuals that combines ideas from inquisitive semantics and causal reasoning. First, we show that two truth-conditionally equivalent clauses can make different semantic contributions when embedded in a counterfactual antecedent. Assuming compositionality, this means that the meaning of these clauses is not fully determined by their truth conditions. This finding has a clear explanation in (...) inquisitive semantics: truth-conditionally equivalent clauses may be associated with different propositional alternatives, each of which counts as a separate counterfactual assumption. Second, we show that our results contradict the common idea that the interpretation of a counterfactual involves minimizing change with respect to the actual state of affairs. We propose to replace the idea of minimal change by a distinction between foreground and background for a given counterfactual assumption: the background is held fixed in the counterfactual situation, while the foreground can be varied without any minimality constraint. (shrink)