Benjamin Schnieder has argued that several traditional definitions of truth-functionality fail to capture a central intuition informal characterizations of the notion often capture. The intuition is that the truth-value of a sentence that employs a truth-functional operator depends upon the truth-values of the sentences upon which the operator operates. Schnieder proposes an alternative definition of truth-functionality that is designed to accommodate this intuition. We argue that one traditional definition of ‘truth-functionality’ is immune from the (...) counterexamples that Schnieder proposes and is preferable to Schnieder’s alternative. (shrink)

In this paper I argue against Michael Morris’ claim, that the Tractatus view involves holding that the possibility of truth-functional combination is prior to the possibility for sentential constituents to combine with one another. I provide an alternative interpretation in which I deny the presence of any distinction in the Tractatus between these two possibilities. I then turn to Adrian Moore’s ‘disjunctivist’ account of sentencehood, itself inspired by the Tractatus view. I argue that Moore’s account need not involve a (...) commitment to the kind of priority Morris describes, and that it need not involve a commitment to transcendental idealism. (shrink)

The material interpretation of conditionals is commonly recognized as involving some paradoxical results. I here argue that the truth functional approach to natural language is the reason for the inadequacy of this material interpretation, since the truth or falsity of some pair of statements ‘p’ and ‘q’ cannot per se be decisive for the truth or falsity of a conditional relation ‘if p then q’. This inadequacy also affects the ability of the overall formal system to establish (...) whether or not arguments involving conditionals are valid. I also demonstrate that the Paradox of Indicative Conditionals does not actually involve a paradox, but instead contains some paralogistic elements that make it appear to be a paradox. The discussion of the paradox in this paper further reveals that the material interpretation of conditionals adversely affects the treatment of disjunctions. -/- Much has been said about these matters in the literature that point in the same direction. However, there seems to be some reluctance against fully complying with the arguments against the truth functional account of conditionals, since many of the alternative accounts rely on the material conditional, or at least on an understanding of the conditional as a function of antecedent and consequent in a similar sense as the material conditional. My argument against truth functionality indicates that it may in general involve similar problems to treat conditionals as such functions, whether one deals with theories of truth, assertability or probability. (shrink)

The truth-functional hypothesis states that indicative conditional sentences and the material implication have the same truth conditions. Haze (2011) has rejected this hypothesis. He claims that a self-referential conditional, coupled with a plausible assumption about its truth-values and the assumption that the truth-functional hypothesis is true, lead to a liar’s paradox. Given that neither the self-referential conditional nor the assumption about its truth-values are problematic, the culprit of the paradox must be the truth-functional hypothesis. (...) Therefore, we should reject it. In this paper I argue that, contrary to what Haze thinks, the truth-functional hypothesis is not to blame. In fact, no liar’s paradox emerges when the truth-functional hypothesis is true; it emerges only if it is false. (shrink)

I discuss Frege's argument - later called the slingshot - that if a construction is extensional and preserves logical equivalence then it is truth-functional. I consider some simple apparent counterexamples and conclude that they are not sentence-embedding in the required way.

Methods available for the axiomatization of arbitrary finite-valued logics can be applied to obtain sound and complete intelim rules for all truth-functional connectives of classical logic including the Sheffer stroke and Peirce’s arrow. The restriction to a single conclusion in standard systems of natural deduction requires the introduction of additional rules to make the resulting systems complete; these rules are nevertheless still simple and correspond straightforwardly to the classical absurdity rule. Omitting these rules results in systems for intuitionistic versions (...) of the connectives in question. (shrink)

Quine argues that if sentences that are set theoretically equivalent are interchangeable salva veritate, then all transparent operators are truth-functional. Criticisms of this argument fail to take into account the conditional character of the conclusion. Quine also argues that, for any person P with minimal logical acuity, if ‘belief’ has a sense in which it is a transparent operator, then, in that sense of the word, P believes everything if P believes anything. The suggestion is made that he intends (...) that result to show us that ‘believes’ has no transparent sense. Criticisms of this argument are either based on unwarranted assertions or on definitions of key terms that depart from Quine’s usage of those terms. (shrink)

Deflationists claim that the truth predicate was introduced into our language merely to full a certain logico-linguistic function. Oddly enough, the question what this function exactly consists in has received little attention. We argue that the best way of understanding the function of the truth predicate is as enabling us to mimic higher-order quantification in a first-order framework. Indeed, one can show that the full simple theory of types is reducible to disquotational principles of truth. Our analysis (...) has important consequences for our understanding of truth. In this paper, we can only touch on one of them: we will argue that the insubstantiality of truth does not imply a conservativity requirement on our best theories of truth. (shrink)

This is a draft of a new extended edition of Facts and the Function of Truth (Blackwell, 1988), forthcoming from Oxford University Press. If you wish to cite it before the final version appears, please refer to it as ‘Facts and the Function of Truth, Extended Edition (draft)’, including the URL at PhilPapers, and date of access.

Many areas of philosophy employ a distinction between factual and non-factual (descriptive/non-descriptive, cognitive/non-cognitive, etc) uses of language. This book examines the various ways in which this distinction is normally drawn, argues that all are unsatisfactory, and suggests that the search for a sharp distinction is misconceived. The book develops an alternative approach, based on a novel theory of the function and origins of the concept of truth. The central hypothesis is that the main role of the normative notion of (...) truth is to encourage speakers to argue, with long-run behavioural advantages. This offers a fresh perspective on many debates about realism in contemporary philosophy. [A new, greatly extended edition of this book is forthcoming from OUP in 2025 – a draft of the new edition is also available on PhilPapers.]. (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)

The infinitary function of the truth predicate consists in its ability to express infinite conjunctions and disjunctions. A transparency principle for truth states the equivalence between a sentence and its truth predication; it requires an introduction principle—which allows the inference from “snow is white” to “the sentence ‘snow is white’ is true”—and an elimination principle—which allows the inference from “the sentence ‘snow is white’ is true” to “snow is white”. It is commonly assumed that a theory of (...) truth needs to satisfy a transparency principle to fulfil the infinitary function. Picollo and Schindler (Erkenntnis 83:899–928, 2017) argue against this idea. They prove that, given certain assumptions, an elimination principle is sufficient for the purpose. Then, they pose a challenge: to show why we should incorporate introduction principles to our theory of truth. In this essay I take on the challenge. I show that, given the authors’ assumptions, an introduction principle is also sufficient to perform the infinitary function. (shrink)

After some generalities about connections between functions and relations in Sections 1 and 2 recalls the possibility of taking the semantic values of ‐ary Boolean connectives as ‐ary relations among truth‐values rather than as ‐ary truth functions. Section 3, the bulk of the paper, looks at correlates of these truth‐value relations as applied to formulas, and explores in a preliminary way how their properties are related to the properties of “logical relations” among formulas such as (...) equivalence, implication (entailment) and contrariety (logical incompatibility), concentrating for illustrative purposes on binary logical relations such as those just listed. To avoid an excess of footnotes, some points have been deferred to an Appendix as “Longer Notes”. (shrink)

Truth in a correspondence sense is objective in two ways. It is objective because the relation of correspondence is objective and because the facts to which truths correspond are objective. Truth about artifacts is problematic because artifacts are intentionally designed to perform certain functions, and so are not entirely mind independent. Against this, it is argued in this paper that truth about artifacts is perfectly objective despite the role played by intention and purpose in the production (...) of artifacts. (shrink)

This paper makes two claims. Firstly, it shows that thinking the truth of any particular concept (such as politics) is founded upon an instrumental logic that betrays the truth of a situation. Truth cannot be thought ‘of something’, for this would fall back into a theory of correspondence. Instead, truth is a function of thought. In order to make this move to a functional concept of truth, I outline Dewey’s criticism, and two important repercussions, of (...) dogmatically instrumental philosophy. I then show how Badiou’s philosophy is indeed guilty of instrumentalisation, but emphasise that his prioritisation of truth is nevertheless important to maintain. The second claim this paper makes is that the criticism of Deleuze’s conception of truth as circular is misplaced, as it is founded on the assumption that Deleuze conceptualises the truth of objects. Instead, I show that, for Deleuze, truth is not a property of an object but of its production. To reach this conclusion, I develop what I call Dewey’s account of pragmatic instrumentalisation (as opposed to the dogmatic instrumentalisation he criticises) into Deleuze’s conceptualisation of truth as the process of making sense of our precarious world. I conclude by making some provisional remarks that Deleuze’s pragmatic account of truth paves the way for an ethics that is not founded on truths it cannot explain (i.e. God or mathematics), but as an ongoing, subversive practice. (shrink)

A proper function of an entity is a beneficial effect that helps explain the persistence of the entity. Proper functions thereby arise through feedback mechanisms with beneficial effects as inputs and persistence as outputs. We continue to make assertions because they benefit speakers by benefiting speakers. Hearers benefit from true information. Speakers benefit by influencing hearer belief. If hearers do not benefit, they will not form beliefs in response to assertions. Speakers can then only maintain influence by providing true (...) information, often enough. The function of assertion is then inducing true hearer belief. When interests conflict, however, some mechanism must ensure that speakers provide true information often enough, instead of deceiving, or providing information regardless of quality. In humans, a core mechanism stabilizing true assertion involves social norms for truth telling. We tell the truth partly because we prescribe and enforce telling the truth. (shrink)

Monists say that the nature of truth is invariant, whichever sentence you consider; pluralists say that the nature of truth varies between different sets of sentences. The orthodoxy is that logic and logical form favour monism: there must be a single property that is preserved in any valid inference; and any truth-functional complex must be true in the same way as its components. The orthodoxy, I argue, is mistaken. Logic and logical form impose only structural constraints on (...) a metaphysics of truth. Monistic theories are not guaranteed to satisfy these constraints, and there is a pluralistic theory that does so. (shrink)

In what follows, I will give examples of the sorts of step that can be taken towards spelling out the intuition that, after all, good models might be true. Along the way, I provide an outline of my account of models as ontologically and pragmatically constrained representations. And I emphasize the importance of examining models as functionally composed systems in which different components play different roles and only some components serve as relevant truth bearers. This disputes the standard approach (...) that proceeds by simply counting true and false elements in models in their entirety and concludes that models are false since they contain so many false elements. I call my alternative the functional decomposition approach. (shrink)

The truth functional account of conditional statements ‘if A then B’ is not only inadequate; it eliminates the very conditionality expressed by ‘if’. Focusing only on the truth-values of the statements ‘A’ and ‘B’ and different combinations of these, one is bound to miss out on the conditional relation expressed between them. All approaches that treat conditionals as functions of their antecedents and consequents will end up in some sort of logical atomism where causal matters simply are (...) reduced to the joint occurrence of A and B. (shrink)

On the basis of elementary thinking about language functioning, a solution of truth paradoxes is given and a corresponding semantics of a truth predicate is founded. It is shown that it is precisely the two-valued description of the maximal intrinsic fixed point of the strong Kleene three-valued semantics.

Halbach has argued that Tarski biconditionals are not ontologically conservative over classical logic, but his argument is undermined by the fact that he cannot include a theory of arithmetic, which functions as a theory of syntax. This article is an improvement on Halbach's argument. By adding the Tarski biconditionals to inclusive negative free logic and the universal closure of minimal arithmetic, which is by itself an ontologically neutral combination, one can prove that at least one thing exists. The result (...) can then be strengthened to the conclusion that infinitely many things exist. Those things are not just all Gödel codes of sentences but rather all natural numbers. Against this background inclusive negative free logic collapses into noninclusive free logic, which collapses into classical logic. The consequences for ontological deflationism with respect to truth are discussed. (shrink)

In Truth and Truthfulness, Bernard Williams sought to defend the value of truth by giving a vindicatory genealogy revealing its instrumental value. But what separates Williams’s instrumental vindication from the indirect utilitarianism of which he was a critic? And how can genealogy vindicate anything, let alone something which, as Williams says of the concept of truth, does not have a history? In this paper, I propose to resolve these puzzles by reading Williams as a type of pragmatist (...) and his genealogy as a pragmatic genealogy. On this basis, I show just in what sense Williams’s genealogy can by itself yield reasons to cultivate a sense of the value of truth. Using various criticisms of Williams’s genealogical method as a foil, I then develop an understanding of pragmatic genealogy which reveals it to be uniquely suited to dealing with practices exhibiting what I call self-effacing functionality—practices that are functional only insofar as and because we do not engage in them for their functionality. I conclude with an assessment of the wider significance of Williams’s genealogy for his own oeuvre and for further genealogical inquiry. (shrink)

This article explores the compatibility of posing and authenticity in portraiture. Often understood as a source of inauthenticity, I propose that posing in fact functions as an artistic tool that can support a truthful portrayal. My argument first discusses authenticity in relation to portraiture through the lens of Bernard Williams’s idea of “truthfulness,” which relies on his notions of “accuracy” and “sincerity.” Second, I introduce a phenomenology of posing. I identify two aspects of posing that can be present in (...) the portrait; these are the “posing sitter,” who holds the actual physical pose, but also point out the use of a “posing effect” in the image, which I call the “posed sitter.” Third, I address the worry of posing as a source of inauthenticity and demonstrate how this can be reframed in order to lay bare its capacity for enhancing truthfulness. The pose then need not be regarded with suspicion of artifice that clouds the authenticity of the sitter; instead, it can offer an approach to truthfully portray the sitter. (shrink)

All that philosophical “theories” of truth do is to demonstrate what is entailed by assuming our common uses and common understandings of the concept of truth. But our common understanding of what truth is is only a part of how truth functions. If we only look at that, we are missing the rest of the picture, namely how truth functions as the foundation for all human communication. I propose that truth functions (...) a lot like morality, in the sense that both truth and morality are normative systems that regulate human behaviour. To best understand this we need to imagine why truth was needed in the first place, and what role it plays in human communication as a whole. Here the philosophical approach of defining the “State of Nature” comes into play, and we obtain an account starting with drawing the relevant distinction between humans and non-human animals, and then showing how a crisis could have arisen from the initial development of language and how collective acknowledgement of truth as a default notion could have solved it, in the same way that collective acknowledgement of a moral system solved the problem of cheats and free riders. To do this, I utilize the idea of common pool resource management, as outlined in the work of the Institutional Economist Elinor Ostrom. (shrink)

Regarding the place of humans in a time of post-media I take into consideration the function of new technology and fictional information on human, embodied, and consequentially emotive forms of evaluating truth and messages conveyed, especially ones sent via the Internet. The main aim of this essay is to argue for the critical role played by post-media understood as digital technology in disseminating and co-creating post-truth conditions mediating human relationships horizontally (peer-to-peer, rather than vertically or from older generations (...) to younger ones) with each other and with information posted online. (shrink)

According to the accepted translation-failure interpretation, the problem of incommensurability involves the nature of the meaning-referential relation between scientific languages. The incommensurability thesis is that some competing scientific languages are mutually untranslatable due to the radical variance of meaning or/and reference of the terms they employ. I argue that this interpretation faces many difficulties and cannot give us a tenable, coherent, and integrated notion of incommensurability. It has to be rejected. ;On the basis of two case studies, I find that (...) the confrontations between many classical incommensurable languages are not confrontations between two untranslatable languages with different distribution of truth values, but rather the confrontations between incompatible fundamental presuppositions at the ontological level. We can always identify a truth-value gap between two incommensurable languages. Such a truth-value gap indicates a communication breakdown between the two language communities on the one hand, and is caused by the incompatible fundamental presuppositions underlying them on the other. ;I thereby identify the truth-value functional relationship between sentences, instead of the meaning-referential relationship between terms, as the dominant semantic relation between two incommensurable languages. According to my presuppositional interpretation of incommensurability, the real secret of incommensurability lies in the ontological setup of two competing presuppositional languages. When two presuppositional languages with incompatible factual commitments encounter with each other, the confrontation leads to a truth-value gap, and consequently a communication breakdown between them. Formally put, two scientific languages are incommensurable when core sentences of one language, which have truth values when considered within its own context, lack truth values when considered within the context of the other due to an ontological gap between them. ;The presuppositional interpretation makes many significant contributions to the discussion of the issue of incommensurability and the related metaphysical and epistemological issues: It confirms the existence of the phenomenon of incommensurability and makes it metaphysically and epistemologically significant. It establishes the tenability and integrity of the notion of incommensurability. It avoids many alleged unattractive epistemological and metaphysical consequences of the translation-failure interpretation. (shrink)

According to the knowledge view of evidence notoriously defended by Timothy Williamson (2000), for any subject, her evidence consists of all and only her propositional knowledge (E=K). Many have found (E=K) implausible. However, few have offered arguments against Williamson’s positive case for (E=K). In this paper, I propose an argument against Williamson’s positive case in favour of (E=K). Central to my argument is the possibility of the knowledge of necessary truths. I also draw some more general conclusions concerning theorizing about (...) evidence. (shrink)

Consider truth predicates. Minimalist analyses of truth predicates may involve commitment to some of the following claims: (i) truth “predicates” are not genuine predicates -- either because the truth “predicate” disappears under paraphrase or translation into deep structure, or because the truth “predicate” is shown to have a non-predicative function by performative or expressivist analysis, or because truth “predicates” must be traded in for predicates of the form “true-in-L”; (ii) truth predicates express ineligible, (...) non-natural, gerrymandered properties; (iii) truth predicates express metaphysically lightweight properties; (iv) truth predicates have thin conceptual roles; (v) truth predicates express properties with no hidden essence; (vi) truth predicates express properties which have no causal or explanatory role in canonical formulations of fundamental theories. (shrink)

John Searle has argued that functions owe their existence to the value that we put into life and survival. In this paper, I will provide a critique of Searle’s argument concerning the ontology of functions. I rely on a standard analysis of functional predicates as relating not only a biological entity, an activity that constitutes the function of this entity and a type of system but also a goal state. A functional attribution without specification of such a goal (...) state has no truth-value. But if completed with a goal state, functional attributions understood as four-place relations attain a truth-value. The truth conditions of all attributions of function involve a dependence claim of the goal state on the function bearer’s activity. The nature of this dependence may differ; I consider five different possibilities: causality, mechanistic constitution, mereology, supervenience and metaphysical grounding. If these dependency relations are objective, Searle’s central ontological thesis fails. What he ought to have said is that our valuing survival or other goal states may be the reason why biology seeks functional knowledge, but this has nothing to do with ontology. I will show further that Searle also raised an interesting challenge concerning the relationship of functional and causal truths, but it does not threaten the objectivity of functions either. At best, it could show that functional vocabulary is eliminable. However, I will show that functional vocabulary is not so eliminable. (shrink)

Minimalists, such as Paul Horwich, claim that the notions of truth, reference and satisfaction are exhausted by some very simple schemes. Unfortunately, there are subtle difficulties with treating these as schemes, in the ordinary sense. So instead, minimalists regard them as illustrating one-place functions, into which we can input propositions (when considering truth) or propositional constituents (when considering reference and satisfaction). However, Bertrand Russell's Gray's Elegy argument teaches us some important lessons about propositions and propositional constituents. When (...) applied to minimalism, these lessons show us why we should abandon it. (shrink)

Our aim in the present paper is to investigate, from the standpoint of truth-theoretic semantics, English tense, temporal designators and quantifiers, and other expressions we use to relate ourselves and other things to the temporal order. Truth-theoretic semantics provides a particularly illuminating standpoint from which to discuss issues about the semantics of tense, and their relation to thoughts at, and about, times. Tense, and temporal modifiers, contribute systematically to conditions under which sentences we utter are true or false. (...) A Tarski-style truth-theoretic semantics, by requiring explicitly represented truth conditions, helps to sharpen questions about the function of tense, and to deepen our insight into the contribution the tenses and temporal modifiers make to what we say by using them. (shrink)

Mistakes can be made in both personal and official accounts of past events: lies can be told. Stories about the past have many functions besides truth-telling: but we still care deeply that our sense of what happened should be accurate. The possibility of error in memory and in history implies a commonsense realism about the past. Truth in memory is a problem because, coupled with our desires to find out what really happened, we recognize that our individual (...) and collective access to past events may be indirect. This chapter sketches some approaches, from across the disciplines, to such problems about authority over the past. I open up recent lines of research on autobiographical memory which should be more accessible in the humanities and social sciences. Psychological work on constructive remembering should not be seen as sceptically challenging the very possibility of everyday authority over our own past, but as identifying specific forms of fallibility. I argue that the study of historical and social processes is an integral part of the cognitive sciences of memory, not a humanistic curiosity. (shrink)

The present thesis focuses on counterfactuals. Specifically, we will address new questions and open problems that arise for the standard semantic accounts of counterfactual conditionals. The first four chapters deal with the Lewisian semantic account of counterfactuals. On a technical level, we contribute by providing an equivalent algebraic semantics for Lewis' variably strict conditional logics, which is notably absent in the literature. We introduce a new kind of algebra and differentiate between local and global versions of each of Lewis' variably (...) strict conditional logics. We study the algebraic properties of Lewis' logics and the structure theory of our newly introduced algebras. Additionally, we employ a new algebraic construction, based on the framework of Boolean algebras of conditionals, to provide an alternative semantics for Lewisian counterfactual conditionals. This semantic account allows us to establish new truth conditions for Lewisian counterfactuals, implying that Lewisian counterfactuals are definable conditionals, and each counterfactual can be characterized as a modality of a corresponding probabilistic conditional. We further extend these results by demonstrating that each Lewisian counterfactual can also be characterized as a modality of the corresponding Stalnaker conditional. The resulting formal semantic framework is much more expressive than the standard one and, in addition to providing new truth conditions for counterfactuals, it also allows us to define a new class of conditional logics falling into the broader framework of weak logics. On the philosophical side, we argue that our results shed new light on the understanding of Lewisian counterfactuals and prompt a conceptual shift in this field: Lewisian counterfactual dependence can be understood as a modality of probabilistic conditional dependence or Stalnakerian conditional dependence. In other words, whether a counterfactual connection occurs between A and B depends on whether it is "necessary" for a Stalnakerian/probabilistic dependence to occur between A and B. We also propose some ways to interpret the kind of necessity involved in this interpretation. The remaining two chapters deal with the probability of counterfactuals. We provide an answer to the question of how we can characterize the probability that a Lewisian counterfactual is true, which is an open problem in the literature. We show that the probability of a Lewisian counterfactual can be characterized in terms of belief functions from Dempster-Shafer theory of evidence, which are a super-additive generalization of standard probability. We define an updating procedure for belief functions based on the imaging procedure and show that the probability of a counterfactual A > B amounts to the belief function of B imaged on A. This characterization strongly relies on the logical results we proved in the previous chapters. Moreover, we also solve an open problem concerning the procedure to assign a probability to complex counterfactuals in the framework of causal modelling semantics. A limitation of causal modelling semantics is that it cannot account for the probability of counterfactuals with disjunctive antecedents. Drawing on the same previous works, we define a new procedure to assign a probability to counterfactuals with disjunctive antecedents in the framework of causal modelling semantics. We also argue that our procedure is satisfactory in that it yields meaningful results and adheres to some conceptually intuitive constraints one may want to impose when computing the probability of counterfactuals. (shrink)

The positions of Frege, Russell and Wittgenstein on the priority of complexes over (propositional) functions are sketched, challenging those who take the "judgment centered" aspects of the Tractatus to be inherited from Frege not Russell. Frege's views on the priority of judgments are problematic, and unlike Wittgenstein's. Russell's views on these matters, and their development, are discussed in detail, and shown to be more sophisticated than usually supposed. Certain misreadings of Russell, including those regarding the relationship between propositional (...) class='Hi'>functions and universals, are exposed. Wittgenstein's and Russell's views on logical grammar are shown to be very similar. Russell's type theory does not countenance types of genuine entities nor metaphysical truths that cannot be put into words, contrary to conventional wisdom. I relate this to the debate over "inexpressible truths" in the Tractatus. I lastly comment on the changes to Russell's views brought about by Wittgenstein's influence. (shrink)

We consider the argument that Tarski's classic definitions permit an intelligence---whether human or mechanistic---to admit finitary evidence-based definitions of the satisfaction and truth of the atomic formulas of the first-order Peano Arithmetic PA over the domain N of the natural numbers in two, hitherto unsuspected and essentially different, ways: (1) in terms of classical algorithmic verifiabilty; and (2) in terms of finitary algorithmic computability. We then show that the two definitions correspond to two distinctly different assignments of satisfaction and (...) truth to the compound formulas of PA over N---I_PA(N; SV ) and I_PA(N; SC). We further show that the PA axioms are true over N, and that the PA rules of inference preserve truth over N, under both I_PA(N; SV ) and I_PA(N; SC). We then show: (a) that if we assume the satisfaction and truth of the compound formulas of PA are always non-finitarily decidable under I_PA(N; SV ), then this assignment corresponds to the classical non-finitary putative standard interpretation I_PA(N; S) of PA over the domain N; and (b) that the satisfaction and truth of the compound formulas of PA are always finitarily decidable under the assignment I_PA(N; SC), from which we may finitarily conclude that PA is consistent. We further conclude that the appropriate inference to be drawn from Goedel's 1931 paper on undecidable arithmetical propositions is that we can define PA formulas which---under interpretation---are algorithmically verifiable as always true over N, but not algorithmically computable as always true over N. We conclude from this that Lucas' Goedelian argument is validated if the assignment I_PA(N; SV ) can be treated as circumscribing the ambit of human reasoning about `true' arithmetical propositions, and the assignment I_PA(N; SC) as circumscribing the ambit of mechanistic reasoning about `true' arithmetical propositions. (shrink)

Minimalism about truth is one of the main contenders for our best theory of truth, but minimalists face the charge of being unable to properly state their theory. Donald Davidson incisively pointed out that minimalists must generalize over occurrences of the same expression placed in two different contexts, which is futile. In order to meet the challenge, Paul Horwich argues that one can nevertheless characterize the axioms of the minimalist theory. Sten Lindström and Tim Button have independently argued (...) that Horwich’s attempt to formulate minimalism remains unsuccessful. We show how to properly state Horwich’s axioms by appealing to propositional functions that are given by definite descriptions. Both Lindström and Button discuss proposals similar to ours and conclude that they are unsuccessful. Our new suggestion avoids these objections. (shrink)

On this particular issue about ¨truth¨, I´d rather focus more on the specific problematization of ¨sentential truth¨. In other words, I will not be concerned with the truth of an event or an experience per se in the objective, intersubjective or subjective sense. In the present consideration, I´d be more concentrated on the truth of beliefs uttered in meaningful statements. This distinctively philosophical approach—in the linguistic-analytic tradition—is supportive of the intent to determine whether certain beliefs are (...) matters of knowledge or not with respect to how classical philosophy presupposes that ONLY true beliefs achieve the category of knowledge. In this sense, the question of being true or the problem of truth plays an intrinsic function in the technical aspect of philosophy mainly in the discipline of epistemology (the philosophical field that deals with the issue of knowledge). In the most fundamental formulation, knowledge is defined as true belief. To resolve whether a belief is true or not, it has to be initially articulated in a sensible statement and must finally pass the test of verification. (shrink)

The interpretation of many texts in the everyday world is concerned with their truth value in relation to the reality around us. The recent publication experiments with computer-generated texts have shown that the distinction between true and false, or reality and fiction, is not always clear from the text itself. Essentially, in today’s media space, one may encounter texts, videos or images that deceive the reader by displaying nonsensical content or nonexistent events, while nevertheless appearing as genuine human-produced messages. (...) This article outlines certain problems with artificial intelligence (AI)-generated content, and frames the issue as a problem of recognising its proper referential reality. Examples include generative texts, deepfakes and their functioning in contemporary culture. The article makes use of the concepts of mimicry and nonsense to reveal the elements and counterparts in the communicative processes involving generated media. (shrink)

Even though it is not very often admitted, partial functions do play a significant role in many practical applications of deduction systems. Kleene has already given a semantic account of partial functions using a three-valued logic decades ago, but there has not been a satisfactory mechanization. Recent years have seen a thorough investigation of the framework of many-valued truth-functional logics. However, strong Kleene logic, where quantification is restricted and therefore not truthfunctional, does not fit the framework directly. (...) We solve this problem by applying recent methods from sorted logics. This paper presents a tableau calculus that combines the proper treatment of partial functions with the efficiency of sorted calculi. (shrink)

Rawlsian political liberalism famously requires a prohibition on truth. This has led to the charge that liberalism embraces non-cognitivism, according to which political claims have the moral status of emotions or expressions of preference. This result would render liberalism a non-starter for liberatory politics, a conclusion that political liberals themselves disavow. This conflict between what liberalism claims and what liberalism does has led critics to charge that the theory is disingenuous and functions as political ideology. In this paper, (...) I explore one way that this charge unfolds: critics charge that liberalism utilizes an individualistic and identity-insensitive social ontology, which in turn yields epistemic deficiencies that render it incapable of detecting oppression. The theory’s claim to freestandingness then shields it from necessary critique. I argue that this objection relies on constructing a conflict between liberalism’s professed non-cognitivism and its actual cognitivist commitments. By demonstrating that Rawlsian political liberalism explicitly endorses substantive moral truths, and that the method of avoidance applies only to public justification for coercive state action, I show that the theory is openly and foundationally cognitivist, and thus that the charge of disingenuousness does not stick. (shrink)

ExtractIn a democracy people are free to express their opinions and question those of others. This is an important personal freedom, and also essential to the very idea of government by discussion. But it has also been held to be instrumentally important because in open public debate true ideas will conquer false ones by their merit, and the people will see the truth for themselves. In other words, democracy has an epistemic function as a kind of truth machine. (...) From this it follows that in a democracy there should be no dogma: no knowledge protected from public challenge and debate. Yet this whole argument is founded on embarrassing misconceptions of the nature of truth and of the working of democracy.Send article to KindleTo send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.DEMOCRACY IS NOT A TRUTH MACHINEVolume 12, Issue 33Thomas WellsDOI: https://doi.org/10.1017/S1477175612000309Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. DEMOCRACY IS NOT A TRUTH MACHINEVolume 12, Issue 33Thomas WellsDOI: https://doi.org/10.1017/S1477175612000309Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. DEMOCRACY IS NOT A TRUTH MACHINEVolume 12, Issue 33Thomas WellsDOI: https://doi.org/10.1017/S1477175612000309Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation. (shrink)

Logical reasoning is not only a component of religious faith (cf., for instance, the "Golden rule"), but, in addition, the religious faith itself can be conceived as a logical pragmatic function applied to sentences and their meanings. Pragmatic role of religious faith is shown on the examples of the analogy of seed and spoken word (e.g., Mt 13:3-23) and on the degrees of faith described in the episode about Nicodemus (John 3). Pragmatics adds (different grades of) perseverance to the correctness (...) of reasoning and to the truth-preservation of the consequence relation. Correspondingly, religious faith is described by formally defined model and satisfaction relation, which are applied to and examined on the text of John 3. (shrink)

In their recent paper Bi-facial truth: a case for generalized truth values Zaitsev and Shramko [7] distinguish between an ontological and an epistemic interpretation of classical truth values. By taking the Cartesian product of the two disjoint sets of values thus obtained, they arrive at four generalized truth values and consider two “semi-classical negations” on them. The resulting semantics is used to define three novel logics which are closely related to Belnap’s well-known four valued logic. A (...) syntactic characterization of these logics is left for further work. In this paper, based on our previous work on a functionally complete extension of Belnap’s logic, we present a sound and complete tableau calculus for these logics. It crucially exploits the Cartesian nature of the four values, which is reflected in the fact that each proof consists of two tableaux. The bi-facial notion of truth of Z&S is thus augmented with a bi-facial notion of proof. We also provide translations between the logics for semi-classical negation and classical logic and show that an argument is valid in a logic for semi-classical negation just in case its translation is valid in classical logic. (shrink)

In their paper Nothing but the Truth Andreas Pietz and Umberto Rivieccio present Exactly True Logic, an interesting variation upon the four-valued logic for first-degree entailment FDE that was given by Belnap and Dunn in the 1970s. Pietz & Rivieccio provide this logic with a Hilbert-style axiomatisation and write that finding a nice sequent calculus for the logic will presumably not be easy. But a sequent calculus can be given and in this paper we will show that a calculus (...) for the Belnap-Dunn logic we have defined earlier can in fact be reused for the purpose of characterising ETL, provided a small alteration is made—initial assignments of signs to the sentences of a sequent to be proved must be different from those used for characterising FDE. While Pietz & Rivieccio define ETL on the language of classical propositional logic we also study its consequence relation on an extension of this language that is functionally complete for the underlying four truth values. On this extension the calculus gets a multiple-tree character—two proof trees may be needed to establish one proof. (shrink)

In his influential book Truth, Paul Horwich deploys a philosophical method focused on linguistic usage, that is, on the function(s) the concept of truth serves in actual discourse. In doing so Horwich eschews abstract metaphysics, arguing that metaphysical or ontological conceptions of truth rest on basic misconceptions. From this description, one might reasonably expect Horwich's book to have drawn inspiration from, or even embodied philosophical pragmatism of some kind. Unfortunately Horwich relies upon Russell's tired caricature of pragmatism (...) about truth (''p' is true if and only if it is useful to believe p' (Ibid., p. 34, p. 47)), and as a result underestimates the challenge it poses to Minimalism. This paper develops a pragmatist critique of minimalism that focuses on the seemingly central, plausibly constitutive role played by the concept of truth in the speech-act of assertion. The critique suggests that Horwich's Minimalism does not and cannot accomplish its stated goal of explaining all of the facts involving truth. Indeed, the kind of thorough-going deflationism sought by Horwich and others (including pragmatist sympathizer Bob Brandom) is incompatible with an adequate account of assertion, and perhaps other concepts (like belief, judgement and inquiry) as well. (shrink)

This thesis engages with three topics and the relationships between them: (i) the phenomenon of disagreement (paradigmatically, where one person makes a claim and another denies it); (ii) the normative character of disagreements (the issue of whether, and in what sense, one of the parties is “at fault” for believing something that’s untrue); (iii) the issue of which theory of what truth is can best accommodate the norms relating belief and truth. People disagree about all sorts of things: (...) about whether climate is changing, death penalty is wrong, sushi is delicious, or Louis C.K. is funny. However, even focusing on disagreements in the evaluative domain (e.g., taste, moral and comedic), where people have the intuition that there is ‘no fact of the matter’ about who is right, there are significant differences that require explanation. For instance, disagreement about taste is generally perceived as shallow. People accept to disagree and live comfortably with that fact. By contrast, moral disagreement is perceived as deep and sometimes hard to tolerate. Comedic disagreement is similar to taste. However, it may involve an element of ‘intellectual snobbery’ that is absent in taste disagreement. The immediate questions are whether these contrasts allow of precise characterization and what is responsible for them. I argue that, once a case is made for the truth-aptness of judgments in these areas, the contrast can be explained in terms of variable normative function of truth – as exerting a lightweight normative constraint in the domain of taste and a stricter constraint in the moral domain. In particular I claim that while truth in the moral domain exerts a sui generis deontic control, this normative feature of truth is silent in both the taste and the comedic domains. This leads me to investigate how to conceive of truth in the light of normative variability. I argue that an amended version of deflationism – minimally inflated deflationism – can account for the normative variability of truth. (shrink)

Philosophers are divided on whether the proof- or truth-theoretic approach to logic is more fruitful. The paper demonstrates the considerable explanatory power of a truth-based approach to logic by showing that and how it can provide (i) an explanatory characterization —both semantic and proof-theoretical—of logical inference, (ii) an explanatory criterion for logical constants and operators, (iii) an explanatory account of logic’s role (function) in knowledge, as well as explanations of (iv) the characteristic features of logic —formality, strong modal (...) force, generality, topic neutrality, basicness, and (quasi-)apriority, (v) the veridicality of logic and its applicability to science, (v) the normativity of logic, (vi) error, revision, and expansion in/of logic, and (vii) the relation between logic and mathematics. The high explanatory power of the truth-theoretic approach does not rule out an equal or even higher explanatory power of the proof-theoretic approach. But to the extent that the truth-theoretic approach is shown to be highly explanatory, it sets a standard for other approaches to logic, including the proof-theoretic approach. (shrink)

A theory of truth is an explanation of the nature of truth and set of rules that true things obey. A theory of truth is basically an attempt to enlighten on the nature of truth and formulate a set of laws that ‘true’ things follow. When we recall a memory, or analyze a statement, or appeal to evaluate within our brain, in fact, we are in quest for truth. Different theories of truth try to (...) understand it from different perspectives. Attempts to analyze truth down the history can neatly be divided into two: Classical and Contemporary theories. The classical or otherwise known as the traditional theories of truth are, Correspondence theory, Coherence theory, Pragmatic theory. Contemporary theories or otherwise known as modern theories of truth are mostly deflationary theories. Over and above these two categories we shall discuss a new theory of truth known as Functional theory of truth. When we analyze contemporary theories of truth, such as functionalist theory of truth, specifically alethic pluralism which commits the problem of mixed compound and also suggest the solution for the same. (shrink)

There are numerous interpretations of Plato's theory of justice as it relates to the ideal state, deeply intertwined with his political philosophy. This complexity makes understanding his interlocking ideas challenging, as he seeks to construct a theory of the ideal state. Plato's philosophy of justice, particularly in its political dimension, emphasizes integration as a fundamental factor in grasping his theory. This paper aims to elucidate the original concept of justice in Plato's state by delving into the roots of the Republic, (...) analyzing its historical context. Plato's predictions reflect values and truths connected to politics and philosophy, emphasizing integration as essential to understanding his theory of justice, which lies at the core of his philosophy. This essay compares the relationship between the functions and class structure of the state. Plato classifies human nature into three components: reason, courage, and appetite, which correspond to three major classes in the state. The ruling class, educated in philosophy, governs the state. The military class, characterized by courage and strength, defends the state, while the professional class manages the everyday affairs of governance. Plato's theory posits functional specialization across all classes as fundamental to his ideal state. In essence, while Plato's imagined city may lack historical existence, it holds significant relevance in the realm of speculative human thought. Keywords: Justice. State. Function. Class. Rulers. Guardians. Producers. (shrink)