Michael Lynch’s Truth as One and Many is a contribution to the large body of philosophical literature on the nature of truth. Within that genre, advocates of truth-as-correspondence, advocates of truth-as-coherence, and the like, all hold that truth has a single underlying metaphysical nature, but they sharply disagree as to what this nature is. Lynch argues that many of these views make good sense of truth attributions for a limited stretch of discourse, but he adds that each of the contenders (...) also faces a ‘scope problem’, in that none of them makes sense of all legitimate truth attributions. Some deflationists make similar observations – usually less concessive – and conclude that truth simply has no substantial, underlying nature. There is nothing for the philosopher to articulate and defend. Lynch agrees with deflationists that the realm of discourse is too diverse for any single ‘first-level’ property, such as correspondence or coherence, to fully characterize it, but against deflationism, he holds that truth does have a nature. He presents a functionalist theory. The definition is this: x is true if, and only if, x has a property that plays the truth-role. According to Lynch, the truth-role is given in terms of what he calls the ‘core truisms’ of the folk concept of truth. These are platitudes that hold of the everyday notion, and are such that anyone who denies all of them can be accused of changing the subject – of not talking about truth. A given property T plays the truth-role for a batch of propositions, just in case, for any proposition P in the batch: P is T if, and only if, where P is believed, things are as they are believed to be; other things being equal, it is a worthy goal …. (shrink)

In Spandrels of Truth, Beall concisely presents and defends a modest, so-called dialetheic theory of transparent truth.

Christine Tappolet posed a problem for alethic pluralism: either deny the truth of conjunctions whose conjuncts are from distinct domains of inquiry, or posit a generic global truth property thus making other truth properties redundant. Douglas Edwards has attempted to solve the problem by avoiding the horns of Tappolet's dilemma. After first noting an unappreciated consequence of Edwards's view regarding a proliferation of truth properties, I show that Edwards's proposal fails to avoid Tappolet's original dilemma. His response is not successful, (...) as it lets in a generic truth property through the ‘back door’. I conclude by briefly offering a new solution to the problem, and an alternative diagnosis of Tappolet's dilemma.1. Tappolet's dilemmaThe alethic pluralist ; Sher ; Wright ) contends that propositions from different domains can be true in different ways. Mixed conjunctions have conjuncts from different domains; consider for example, ‘1+1=2 and murder is wrong’. A pressing question for the pluralist: if each conjunct is true in a distinct way, in what way is the conjunction true? Tappolet argues, " [M]ixed conjunctions need to be true in a further way. … But then each conjunct has to be true in the same way. This is what follows from the truism that a conjunction is true if and only if its conjuncts are true. Hence the question arises again why this further way of being true is not the only one we need. " Edwards puts Tappolet's contention as a dilemma: either admit a generic truth property that can apply to all propositions, regardless of domain or deny that mixed conjunctions can be true. It is prima facie plausible that mixed conjunctions can be true. Moreover, admitting a generic truth property would seemingly undermine alethic pluralism by making other truth properties redundant.2. Edwards's solutionEdwards's solution attempts …. (shrink)

Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, the view that there is more than one genuine deductive consequence relation, a (...) position which has profound implications for many linguists as well as for philosophers. We should not search for one true logic, since there are many. (shrink)

Recasting important questions about truth and objectivity in new and helpful terms, his book will become a focus in the contemporary debates over realism, and ...

In reply to Geach's objection against expressivism, some have claimed that there is a plurality of truth predicates. I raise a difficulty for this claim: valid inferences can involve sentences assessable by any truth predicate, corresponding to 'lightweight' truth as well as to 'heavyweight' truth. To account for this, some unique truth predicate must apply to all sentences that can appear in inferences. Mixed inferences remind us of a central platitude about truth: truth is what is preserved in valid inferences. (...) The question is why we should postulate truth predicates that do not satisfy this platitude. (shrink)

Traditional inflationary approaches that specify the nature of truth are attractive in certain ways; yet, while many of these theories successfully explain why propositions in certain domains of discourse are true, they fail to adequately specify the nature of truth because they run up against counterexamples when attempting to generalize across all domains. One popular consequence is skepticism about the efficaciousness of inflationary approaches altogether. Yet, by recognizing that the failure to explain the truth of disparate propositions often stems from (...) inflationary approaches' allegiance to alethic monism, pluralist approaches are able to avoid this explanatory inadequacy and the resulting skepticism, though at the cost of inviting other conceptual difficulties. A novel approach, alethic functionalism, attempts to circumvent the problems faced by pluralist approaches while preserving their main insights. Unfortunately, it too generates additional problems---namely, with its suspect appropriation of the multiple realizability paradigm and its platitude-based strategy---that need to be dissolved before it can constitute an adequate inflationary approach to the nature of truth. (shrink)

Pluralism about truth is the view that there is more than one way for a proposition to be true. When taken to imply that there is more than one concept and property of truth, this position faces a number of troubling objections. I argue that we can overcome these objections, and yet retain pluralism's key insight, by taking truth to be a multiply realizable property of propositions.

Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, the view that there is more than one genuine deductive consequence relation, a (...) position which has profound implications for many linguists as well as for philosophers. We should not search for one true logic, since there are many. (shrink)

This is a critique of Michael P. Lynch’s functional pluralism with respect to truth. The paper is sympathetic to Lynch’s overall approach to truth, but is critical of (i) his platitudinous characterization of the general principles of truth, (ii) his excessive pluralism with respect to the “realizers” of truth, (iii) his treatment of atomic truth, and (iv) his analysis of “mixed” logical inferences. The paper concludes with a proposal for a functional pluralism that puts greater emphasis on the unity of (...) truth. For example: while Lynch regards truth as based on correspondence principles in some domains and on coherence principles in others, the current proposal regards truth as based on correspondence principles in all domains, restricting the plurality of truth to a plurality of correspondence principles. (shrink)

Alethic pluralism, on one version of the view , is the idea that truth is to be identified with different properties in different domains of discourse. 1 Whilst we operate with a univocal concept of truth, and a uniform truth predicate, the thought is that the truth property changes from one domain to the next. So the truth property for talk about the nature and state of the material world may be different from the truth property for moral discourse .Tappolet (...) challenged alethic pluralism by asking how it can account for the truth of mixed compounds, such as a mixed conjunction like ‘this cat is wet and funny’, where each of the conjuncts are from different domains of discourse, and thus assessable in terms of different truth properties. She argues that the alethic pluralist is left in a dilemma: either admit of a ‘generic’ truth property, which can be possessed by propositions from all domains, thus rendering the plural ways of being true obsolete, or deny the truth of mixed conjunctions.In Edwards 2008, I argued that there is route out of Tappolet's dilemma. Briefly, I suggested that we acknowledge that the truth of a mixed conjunction is dependent on the truth of its conjuncts, and we should explain the truth of the conjunction by saying that it is true just in case each of its conjuncts is true. This, I argued, gives us an account of the truth of the conjunction without needing to appeal to a troublesome ‘generic’ truth property.Aaron Cotnoir criticizes my solution to Tappolet's problem. Cotnoir argues that my solution to the problem admits of an unacceptable ‘proliferation’ of truth properties, and smuggles in a generic truth property. I …. (shrink)

Alethic pluralism is the view that the nature of truth is not uniform across domains. There are several ways of bang true $(T_1 ...\,T_n )$ A simple argument, the 'instability challenge', purports to show that this view is inherently unstable. One can simply say that something is uniformly true if and only if it is T₁ or ... or $\,T_n $ . Being uniformly true is a single truth property that applies across the board, and so the nature of truth (...) is uniform across domains, contra pluralism. I defend pluralism against the instability challenge. I show that the challenge bifurcates: one Challenge is formulated in terms of predicates, and the other is formulated in terms of properties. Vie pluralist has the resources to defuse both of these. The sparse/abundant property distinction and considerations of explanatory asymmetry play a crucial role in my argument. (shrink)

This paper presents an approach to truth and the Liar paradox which combines elements of context dependence and hierarchy. This approach is developed formally, using the techniques of model theory in admissible sets. Special attention is paid to showing how starting with some ideas about context drawn from linguistics and philosophy of language, we can see the Liar sentence to be context dependent. Once this context dependence is properly understood, it is argued, a hierarchical structure emerges which is neither ad (...) hoc nor unnatural. (shrink)

The aim of this paper is to provide an overview of various forms of alethic pluralism. Along the way we will draw a number of distinctions that, hopefully, will be useful in mapping the pluralist landscape. Finally, we will argue that a commitment to alethic disjunctivism, a certain brand of pluralism, might be difficult to avoid for adherents of the other pluralist views to be discussed. We will proceed as follows: Section 1 introduces alethic monism and alethic pluralism. Section 2 (...) presents a distinction between strong and moderate versions of monism and pluralism, understood as theses about the existence of truth properties. Section 3 introduces four pluralist positions: strong alethic pluralism, alethic disjunctivism, second-order functionalism and manifestation functionalism. These positions are classified using the basic framework from Section 2, and a further distinction between pure and mixed versions of pluralism is drawn. Interestingly, alethic disjunctivism and the two kinds of functionalism—i.e. three out of four positions— have a mixed character. They incorporate a monist thesis. The only pure form of pluralism is strong alethic pluralism. Section 4 adds another distinction to the stock: one-level and two-level views. Each of the mixed positions operates with two levels, locating certain “alethically potent”—or grounding—properties at a lower level and others at a higher level. We briefly discuss the nature of grounding. In Section 5, we answer a question about mixed, two-level views, viz. whether they are as much monist as pluralist in nature, or more. They are not. Section 6 is devoted to the task of arguing that the strong pluralist, the second-order functionalist, and the manifestation functionalist will find it hard to deny a commitment to alethic disjunctivism. (shrink)

What is truth? Michael Lynch defends a bold new answer to this question. Traditional theories of truth hold that truth has only a single uniform nature. All truths are true in the same way. More recent deflationary theories claim that truth has no nature at all; the concept of truth is of no real philosophical importance. In this concise and clearly written book, Lynch argues that we should reject both these extremes and hold that truth is a functional property. To (...) understand truth we must understand what it does, its function in our cognitive economy. Once we understand that, we'll see that this function can be performed in more than one way. And that in turn opens the door to an appealing pluralism: beliefs about the concrete physical world needn't be true in the same way as our thoughts about matters -- like morality -- where the human stain is deepest. (shrink)

The paradoxes of self-reference are genuinely paradoxical. The liar paradox, Russell’s paradox and their cousins pose enormous difficulties to anyone who seeks to give a comprehensive theory of semantics, or of sets, or of any other domain which allows a modicum of self-reference and a modest number of logical principles. One approach to the paradoxes of self-reference takes these paradoxes as motivating a non-classical theory of logical consequence. Similar logical principles are used in each of the paradoxical inferences. If one (...) or other of these problematic inferences are rejected, we may arrive at a consistent (or at least, a coherent) theory. In this paper I will show that such approaches come at a serious cost. The general approach of using the paradoxes to restrict the class of allowable inferences places severe constraints on the domain of possible propositional logics, and on the kind of metatheory that is appropriate in the study of logic itself. Proof-theoretic and model-theoretic analyses of logical consequence make provide different ways for non-classical responses to the paradoxes to be defeated by revenge problems: the redefinition of logical connectives thought to be ruled out on logical grounds. Non-classical solutions are not the “easy way out” of the paradoxes. (shrink)

Crispin Wright offers an original perspective on the place of “realism” in philosophical inquiry. He proposes a radically new framework for discussing the claims of the realists and the anti-realists. This framework rejects the classical “deflationary” conception of truth yet allows both disputants to respect the intuition that judgments, whose status they contest, are at least semantically fitted for truth and may often justifiably be regarded as true. In the course of his argument, Wright offers original critical discussions of many (...) central concerns of philosophers interested in realism, including the “deflationary” conception of truth, internal realist truth, scientific realism and the theoreticity of observation, and the role of moral states of affairs in explanations of moral beliefs. (shrink)

Jenkins (2007) charges that the language advanced in Beall (2007) is either expressively impoverished, or inconsistent. We argue that Jenkins’ objections are based on unreasonably strong constraints on formal theories of truth. Our primary concern is not to defend the ‘paranormal’ framework advanced in Beall, but to respond to a common – and implausible – ‘revenge’-style charge directed at a certain class of formal theories of truth and paradox.

Mixed inferences are a problem for those who want to combine truth-assessability and antirealism with respect to allegedly nondescriptive sentences: the classical account of validity has apparently to be given up. J.C. Beall's response is that validity can be defined as the conservation of designated valued (Beall 2000). I argue that since it presupposes a truth predicate that can be applied to all sentences, this suggestion is not helpful. I also consider problems arising from mixed conjunctions and discuss the deeper (...) worry that the distinction between truth which does and truth which does not entail realism is inferentially irrelevant. (shrink)

Here is a well-known thought about truth: Truth consists in correspondence with reality. A sentence is true just in case what it says corresponds with how the world is. Theories of truth that incorporate this thought are naturally regarded as robust or “heavyweight”. Truth is to be understood in a realist fashion. The world decides what is true and what is not. A recent incarnation of the correspondence view is found in truth-maker theories, whose adherents maintain that truths are true (...) in virtue of there being something – a truth-maker – in the world that makes them so.2. (shrink)

A selective background -- Broadly classical approaches -- Paracompleteness -- More on paracomplete solutions -- Paraconsistent dialetheism.

Quantification is haunted by the specter of paradoxes. Since Russell, it has been a persistent idea that the paradoxes show what might have appeared to be absolutely unrestricted quantification to be somehow restricted. In the contemporary literature, this theme is taken up by Dummett (1973, 1993) and Parsons (1974a,b). Parsons, in particular, argues that both the Liar and Russell’s paradoxes are to be resolved by construing apparently absolutely unrestricted quantifiers as appropriately restricted.

The problem of absolute generality has attracted much attention in recent philosophy. Agustin Rayo and Gabriel Uzquiano have assembled a distinguished team of contributors to write new essays on the topic. They investigate the question of whether it is possible to attain absolute generality in thought and language and the ramifications of this question in the philosophy of logic and mathematics.

The problem of mixed conjunctions, due to Tappolet (2000), threatens to undermine alethic pluralism by showing that it cannot account for the truth of conjunctions in which the conjuncts spring from different domains of discourse. In this paper I argue, firstly, that the problem is not just a problem for alethic pluralism and, secondly, that the problem can be solved.