This paper synthesizes convergent lines of evidence to evaluate the hypothesis that objective falsity is essential to lying. Objective accounts of lying affirm this hypothesis; subjective accounts deny it. Evidence from history, logic, social observation, popular culture, lexicography, developmental psychology, inference, spontaneous description, and behavioral experimentation strongly supports the hypothesis. Studies show that the only apparent evidence against the hypothesis is due to task substitution, i.e. ethical concerns or perspective-taking interfering with performance on categorization tasks. I conclude that, overall, existing (...) evidence decisively favors objective accounts. (shrink)

Researchers have debated whether there is a relationship between a statement’s truth-value and whether it counts as a lie. One view is that a statement being objectively false is essential to whether it counts as a lie; the opposing view is that a statement’s objective truth-value is inessential to whether it counts as a lie. We report five behavioral experiments that use a novel range of behavioral measures to address this issue. In each case, we found evidence of a relationship. (...) A statement’s truth-value affects how quickly people judge whether it is a lie. When people consider the matter carefully and are told that they might need to justify their answer, they are more likely to categorize a statement as a lie when it is false than when it is true. When given options that inhibit perspective-taking, people tend to not categorize deceptively motivated statements as lies when they are true, even though they still categorize them as lies when they are false. Categorizing a speaker as “lying” leads people to strongly infer that the speaker’s statement is false. People are more likely to spontaneously categorize a statement as a lie when it is false than when it is true. We discuss four different interpretations of relevant findings to date. At present, the best supported interpretation might be that the ordinary lying concept is a prototype concept, with falsity being a centrally important element of the prototypical lie. (shrink)

Infectious logics are systems that have a truth-value that is assigned to a compound formula whenever it is assigned to one of its components. This paper studies four-valued infectious logics as the basis of transparent theories of truth. This take is motivated as a way to treat different pathological sentences differently, namely, by allowing some of them to be truth-value gluts and some others to be truth-value gaps and as a way to treat the semantic pathology suffered by at least (...) some of these sentences as infectious. This leads us to consider four distinct four-valued logics: one where truth-value gaps are infectious, but gluts are not; one where truth-value gluts are infectious, but gaps are not; and two logics where both gluts and gaps are infectious, in some sense. Additionally, we focus on the proof theory of these systems, by offering a discussion of two related topics. On the one hand, we prove some limitations regarding the possibility of providing standard Gentzen sequent calculi for these systems, by dualizing and extending some recent results for infectious logics. On the other hand, we provide sound and complete four-sided sequent calculi, arguing that the most important technical and philosophical features taken into account to usually prefer standard calculi are, indeed, enjoyed by the four-sided systems. (shrink)

Tarski's hierarchical solution to the Liar paradox is widely viewed as ad hoc. In this paper I show that, on the contrary, Tarski's solution is justified by a sound philosophical principle that concerns the inner structure of truth. This principle provides a common philosophical basis to a number of solutions to the Liar paradox, including Tarski's and Kripke's. Tarski himself may not have been aware of this principle, but by providing a philosophical basis to his hierarchical solution to the paradox, (...) it undermines the ad-hocness objection to this solution. Indeed, it contributes to the defense of Tarski's theory against other objections as well. (shrink)

In truth theory one aims at general formal laws governing the attribution of truth to statements. Gupta’s and Belnap’s revision-theoretic approach provides various well-motivated theories of truth, in particular T* and T#, which tame the Liar and related paradoxes without a Tarskian hierarchy of languages. In property theory, one similarly aims at general formal laws governing the predication of properties. To avoid Russell’s paradox in this area a recourse to type theory is still popular, as testified by recent work in (...) formal metaphysics by Williamson and Hale. There is a contingent Liar that has been taken to be a problem for type theory. But this is because this Liar has been presented without an explicit recourse to a truth predicate. Thus, type theory could avoid this paradox by incorporating such a predicate and accepting an appropriate theory of truth. There is however a contingent paradox of predication that more clearly undermines the viability of type theory. It is then suggested that a type-free property theory is a better option. One can pursue it, by generalizing the revision-theoretic approach to predication, as it has been done by Orilia with his system P*, based on T*. Although Gupta and Belnap do not explicitly declare a preference for T# over T*, they show that the latter has some advantages, such as the recovery of intuitively acceptable principles concerning truth and a better reconstruction of informal arguments involving this notion. A type-free system based on T# rather than T* extends these advantages to predication and thus fares better than P* in the intended applications of property theory. (shrink)

The author investigates whether the model prevalent today of an “humble reason” - based on fallibilism and epistemic humility - is the most appropriate to express the theological truth, even in the light of the debate within the contemporary theism (rational theology). To answer this question it is necessary to examine the epistemological status of “human truth” and the “truth of faith”, in order to develop a common approach to sciences, philosophy and theology. Finally, the author shows how the communitarian (...) dimension and the “choice” (a call for freedom) are inherent to theology understood as “critical faith”, whose peculiarity is to posit itself without nostalgia in the middle between fideism, rationalism and a certain relativism. From the path, finally, it emerges the proposal of a new “cristeologia”. Il rapporto tra fede e ragione è la questione meta-teologica per eccellenza. L’autore si propone dunque d’indagare se il modello oggi prevalente di “ragione umile” – basato su fallibilismo e umiltà epistemica – sia il più adeguato per esprimere le verità teologiche, anche alla luce del dibattito interno al teismo contemporaneo (teologia razionale). Per rispondere a questa domanda è necessario esaminare lo statuto epistemologico della verità umana e della verità di fede, per poter elaborare un metodo comune alle discipline scientifiche, filosofiche e teologiche, capace di trovare un equilibrio tra fideismo e positivismo teologico. Dopo una breve panoramica storica dei rapporti tra fede e ragione nel pensiero occidentale (con particolare attenzione alla dottrina dei praeambula fidei), l’articolo cercherà di mostrare come, nel paradigma della verità relazionale e del fallibilismo sia necessario integrare il problema delle fonti, dell’autorità, del concetto di ispirazione e della nozione di “rivelazione”, giacché contraddistinguono la teologia rispetto alla filosofia. Si mostrerà infine come la dimensione comunitaria e della scelta (appello alla libertà) siano connaturate alla teologia intesa come fede critica, la cui peculiarità è di collocarsi senza nostalgie nel mezzo tra fideismo, razionalismo e un certo relativismo. Dal percorso emergerà infine la proposta di una nuova "cristeologia". (shrink)

Most discussions frame the Liar Paradox as a formal logical-linguistic puzzle. Attempts to resolve the paradox have focused very little so far on aspects of cognitive psychology and processing, because semantic and cognitive-psychological issues are generally assumed to be disjunct. I provide a motivation and carry out a cognitive-computational treatment of the liar paradox based on a model of language and conceptual knowledge within the Predictive Processing framework. I suggest that the paradox arises as a failure of synchronization between two (...) ways of generating the liar situation in two different PP sub-models, one corresponding to language processing and the other to the processing of meaning and world-knowledge. In this way, I put forward the claim that the liar sentence is meaningless but has an air of meaningfulness. I address the possible objection that the proposal violates the Principle of Unrestricted Compositionality, which purportedly regulates the conceptual competence of thinkers. (shrink)

Most discussions frame the Liar Paradox as a formal logical-linguistic puzzle. Attempts to resolve the paradox have focused very little so far on aspects of cognitive psychology and processing, because semantic and cognitive-psychological issues are generally assumed to be disjunct. I provide a motivation and carry out a cognitive-computational treatment of the liar paradox based on a model of language and conceptual knowledge within thePredictive Processing(PP) framework. I suggest that the paradox arises as a failure of synchronization between two ways (...) of generating the liar situation in two different (idealized) PP sub-models, one corresponding to language processing and the other to the processing of meaning and world-knowledge. In this way, I put forward the claim that the liar sentence is meaningless but has an air of meaningfulness. I address the possible objection that the proposal violates thePrinciple of Unrestricted Compositionality, which purportedly regulates the conceptual competence of thinkers. (shrink)

Most discussions frame the Liar Paradox as a formal logical-linguistic puzzle. Attempts to resolve the paradox have focused very little so far on aspects of cognitive psychology and processing, because semantic and cognitive-psychological issues are generally assumed to be disjunct. I provide a motivation and carry out a cognitive-computational treatment of the liar paradox based on a cognitive-computational model of language and conceptual knowledge within the Predictive Processing framework. I suggest that the paradox arises as a failure of synchronization between (...) two ways of generating the liar situation in two different PP sub-models, one corresponding to language processing and the other to the processing of meaning and world-knowledge. In this way, I put forward the claim that the liar sentence is meaningless but has an air of meaningfulness. I address the possible objection that the proposal violates the Principle of Unrestricted Compositionality, which purportedly regulates the conceptual competence of thinkers. (shrink)

Against the backdrop of the frequent comparison of theories of truth in the literature on semantic paradoxes with regard to which inferences and metainferences are deemed valid, this paper develops a novel approach to defining a binary predicate for representing the valid inferences and metainferences of a theory within the theory itself under the assumption that the theory is defined with a classical meta-theory. The aim with the approach is to obtain a tool which facilitates the comparison between a theory (...) and its competitors within the theory itself, thereby expressing the disagreement between the theories within the theories. After discussing what we can and should require of an object-linguistic representation of a theory for that purpose, this paper proposes to restrict the representation of valid metainferences to locally valid metainferences, a requirement which turns out to be \-consistent and conservative over classical first-order arithmetic. This approach is then applied to four theories definable on strong Kleene models using a labelled nested sequent calculus. (shrink)

In his Lectures on the History of Philosophy, Hegel develops a subtle analysis of Megarian paradoxes: the Liar, the Veiled Man and the Sorites. In this paper, we focus on Hegel's interpretation of...

This article is a preliminary presentation of conjunctive paraconsistency, the claim that there might be non-explosive true contradictions, but contradictory propositions cannot be considered separately true. In case of true ‘p and not p’, the conjuncts must be held untrue, Simplification fails. The conjunctive approach is dual to non-adjunctive conceptions of inconsistency, informed by the idea that there might be cases in which a proposition is true and its negation is true too, but the conjunction is untrue, Adjunction fails. While (...) non-adjunctivism is a well-known option, the other view is not so much studied nowadays, but it was not unknown in the tradition, and there are some positive suggestions, in recent literature, that the position is plausible and deserves to be developed. The article compares conjunctivism, non-adjunctivism and dialetheism, then focuses on some possible justifications, costs and benefits of the conjunctive view. (shrink)

Scientific research in the formal sciences comes in multiple degrees of formality: fully formal work; rigorous proofs that practitioners know to be formalizable in principle; and informal work like rough proof sketches and considerations about the advantages and disadvantages of various formal systems. This informal work includes informal and semi-formal debates between formal scientists, e.g. about the acceptability of foundational principles and proposed axiomatizations. In this paper, we propose to use the methodology of structured argumentation theory to produce a formal (...) model of such informal and semi-formal debates in the formal sciences. For this purpose, we propose ASPIC-END, an adaptation of the structured argumentation framework ASPIC+ which can incorporate natural deduction style arguments and explanations. We illustrate the applicability of the framework to debates in the formal sciences by presenting a simple model of some arguments about proposed solutions to the Liar paradox, and by discussing a more extensive—but still preliminary—model of parts of the debate that mathematicians had about the Axiom of Choice in the early twentieth century. (shrink)

Suppose our ordinary notion of truth is ‘inconsistent’ in the sense that its meaning is partly given by principles that classically entail a logical contradiction. Should we replace the notion with a consistent surrogate? This paper begins by defusing various arguments in favor of this revisionary proposal, including Kevin Scharp’s contention that we need to replace truth for the purposes of semantic theorizing . Borrowing a certain conservative metasemantic principle from Matti Eklund, the article goes on to build a positive (...) case for the opposite policy: retaining truth as-is. The thought is basically that bivalence for the bulk of what we say in the course of ordinary, scientific, and philosophical inquiry should suffice to justify keeping ‘true’. Two versions of the story are told: one more philosophical, drawing on an analogy to Lewis’ response to Putnam’s paradox; the other more technical, invoking a deviant stran.. (shrink)

The aim of this paper is to provide a model that allows the representation and analysis of circularity in ethotic structures, i.e. in communication structures related to the speaker’s character and in particular, his credibility. The paper studies three types of cycles: in self-referential sentences, embedded testimony and ethotic begging the question. It is shown that standard models allow the reconstruction of the circularities only if those circular utterances are interpreted as ethotic arguments. Their alternative, assertive interpretation requires enriching the (...) existing models with a purely ethotic component related to the credibility of the performer of any (not necessarily argumentative) speech act. (shrink)

Following the phenomenology that is revealed by the emergent structure of consciousness, the path will lead to the acknowledgement of consciousness having a self-referential aspect. By following phenomenological clues, properties of self-reference will be revealed. The two most prominent properties of self-reference will be shown to be inclusion and transcendence that will be shown to be found everywhere in the phenomenology of consciousness. Also, self-reference will turn out to be unformalizable, this imposing limits on what a theory of consciousness can (...) ever achieve. The unformalizability of self-reference would be shown to be because self-reference: is itself, includes itself, and transcendes itself, all at the same time. Nevertheless, unformalizability will be shown to be an essential feature needed to bring essences into existence. (shrink)