O dilema de Jørgensen tem atormentado os imperativistas até aos nossos dias. Resumidamente, se há uma Lógica das Normas, então esta tem por elementos proposições (as proposições normativas) e, simultaneamente, tem por elementos imperativos, que não possuem conteúdo proposicional. Neste ensaio, defender-se-á que o imperativismo é totalmente compatível com a concebilidade de uma Lógica Deôntica de proposições, pelo que não é necessário afastá-lo para manter a referida concebilidade (ainda que haja outras razões para rejeitar o imperativismo). Todas as posições que (...) aceitam a incompatibilidade suscitada pelo dilema de Jørgensen incorrem num erro, o de confundir imperativismo e prescritivismo. -/- Jørgensen's dilemma has plagued imperativists to this day. Briefly, if there is a Logic of Norms, then propositions participate in it (normative propositions) and, simultaneously, imperatives participate in it, which do not have propositional content. In this essay, I will argue that imperativism is fully compatible with the conceivability of a Deontic Logic of propositions, so it is not necessary to push it aside to maintain that conceivability (although there are other reasons for rejecting imperativism). All positions that accept the incompatibility raised by Jørgensen's dilemma incur an error, that of confusing imperativism and prescriptivism. (shrink)

Este texto tem como objetivo apresentar a principal motivação filosófica para se defender uma teoria causal da memória, que é explicar como pode um evento que se deu no passado estar relacionado a uma experiência mnêmica que se dá no presente. Para tanto, iniciaremos apresentando a noção de memória de maneira informal e geral, para depois apresentar elementos mais detalhados. Finalizamos apresentando uma teoria causal da memória que se beneficia da noção de veritação (truthmaking).

A semantic theory is committed to semantic monism just in case every particular semantic property posited by the theory is a member of the same kind. The commitment to semantic monism appears to draw some support from the need to provide a compositional semantics, since taking a single kind of semantic property as key to a semantic theory affords a uniform pattern on the basis of which the meaning of any given sentence can be compositionally determined. This line of support (...) highlights a tension between the principle of compositionality and taking a more pluralistic approach to semantic theorizing. In this essay, that tension is relieved, leaving open the prospect of a pluralistic semantic theory that observes the principle of compositionality. (shrink)

I argue that the concept of direction of fit is best seen as picking out a certain inferential property of a psychological attitude. The property in question is one that believing shares with assuming and fantasizing and fails to share with desire. Unfortunately, the standard analysis of DOF obscures this fact because it conflates two very different properties of an attitude: that in virtue of which it displays a certain DOF, and that in virtue of which it displays certain revision (...) conditions. I claim that the latter corresponds with the aim of an attitude, not its DOF. In order to remedy this failure of the standard analysis, I offer an alternative account of DOF, which I refer to as the two-content analysis. (shrink)

According to judgment internalism, there is a conceptual connection between moral judgment and motivation. This paper offers an argument against that kind of internalism that does not involve counterexamples of the amoralist sort. Instead, it is argued that these forms of judgment internalism fall prey to a Frege-Geach type argument.

The paper tackles two problems. The first one is to grasp the real meaning of Jerzy Kalinowski’s theory of normative sentences. His formal system K 1 is a simple logic formulated in a very limited language . While presenting it Kalinowski formulated a few interesting philosophical remarks on norms and actions. He did not, however, possess the tools to formalise them fully. We propose a formulation of Kalinowski’s ideas with the use of a set-theoretical frame similar to the one presented (...) by Krister Segerberg in his A Deontic Logic of Action. At the same time we enrich the language used by Kalinowski with more operators on actions and present an adequate axiomatisation of the resulting system. That allows us to disclose some unrevealed aspects of Kalinowski’s theory. The most important one is a relation between acts which we call moral indiscernibility. Our second problem is a proper understanding of moral indiscernibility. We show how a repertoire of agent’s actions, defined with the use of simple observable elements of actions, can be filtrated by the relation of moral indiscernibility. That allows us to understand the consequences of Kalinowski’s claim that not doing something good is always bad. (shrink)

This article surveys a range of current views on the semantics of imperatives, presenting them as more or less conservative with respect to the Truth-Conditional Paradigm in semantics. It describes and critiques views at either extreme of this spectrum: accounts on which the meaning of an imperative is a modal truth-condition, as well as various accounts that attempt to explain imperative meaning without making use of truth-conditions. It briefly describes and encourages further work on a family of views lying somewhere (...) in the middle. On such views, an imperative will semantically determine, without having as its meaning, a modal truth-condition, which figures centrally in accounting for various aspects of its meaning. (shrink)

Esta coletânea explora o papel desempenhado pelas emoções na teorização em ética e metaética. Inclui capítulos escritos por pesquisadores do Brasil e de outros países.

Overview of fundamental work in deontic logic.

In this paper I will develop a view about the semantics of imperatives, which I term Modal Noncognitivism, on which imperatives might be said to have truth conditions (dispositionally, anyway), but on which it does not make sense to see them as expressing propositions (hence does not make sense to ascribe to them truth or falsity). This view stands against “Cognitivist” accounts of the semantics of imperatives, on which imperatives are claimed to express propositions, which are then enlisted in explanations (...) of the relevant logico-semantic phenomena. It also stands against the major competitors to Cognitivist accounts—all of which are non-truth-conditional and, as a result, fail to provide satisfying explanations of the fundamental semantic characteristics of imperatives (or so I argue). The view of imperatives I defend here improves on various treatments of imperatives on the market in giving an empirically and theoretically adequate account of their semantics and logic. It yields explanations of a wide range of semantic and logical phenomena about imperatives—explanations that are, I argue, at least as satisfying as the sorts of explanations of semantic and logical phenomena familiar from truth-conditional semantics. But it accomplishes this while defending the notion—which is, I argue, substantially correct—that imperatives could not have propositions, or truth conditions, as their meanings. (shrink)

I resolve the major challenge to an Expressivist theory of the meaning of normative discourse: the Frege–Geach Problem. Drawing on considerations from the semantics of directive language (e.g., imperatives), I argue that, although certain forms of Expressivism (like Gibbard’s) do run into at least one version of the Problem, it is reasonably clear that there is a version of Expressivism that does not.

The problem of imperative consequence consists in the fact that theses (i) through (iii) are inconsistent; but yet all three are attractive (for the reasons sketched above). A solution to the problem consists in the denial of one of the three theses; I describe solutions as belonging to type 1, type 2, or type 3, depending on which thesis they deny. For the purposes of this paper, I would like to focus on a certain variety of type 3 solution – (...) a solution that offers a revised criterion of validity of a particular kind. (shrink)

Between the two horns of Jørgensen's dilemma, the authors opt for that according to which logic deals not only with truth and falsity but also with those concepts not possessing this semantic reference. Notwithstanding the “descriptive” prejudice, deontic logic has gained validity among modal logics. The technical foundation proposed consists in an abstract characterization of logical consequence. By identifying in the abstract notion of consequence the primitive from which to begin, it is possible to define the connectives - even those (...) of obligation - by means of the rules of introduction or elimination in a context of derivation. (shrink)

Suppose that a sign at the entrance of a hotel reads: “Don’t enter these premises unless you are accompanied by a registered guest”. You see someone who is about to enter, and you tell her: “Don’t enter these premises if you are an unaccompanied registered guest”. She asks why, and you reply: “It follows from what the sign says”. It seems that you made a valid inference from an imperative premise to an imperative conclusion. But it also seems that imperatives (...) cannot be true or false, so what does it mean to say that your inference is valid? It cannot mean that the truth of its premise guarantees the truth of its conclusion. One is thus faced with what is known as “Jørgensen’s dilemma” (Ross 1941: 55-6): it seems that imperative logic cannot exist because logic deals only with entities that, unlike imperatives, can be true or false, but it also seems that imperative logic must exist. It must exist not only because inferences with imperatives can be valid, but also because imperatives (like “Enter” and “Don’t enter”) can be inconsistent with each other, and also because one can apply logical operations to imperatives: “Don’t enter” is the negation of “Enter”, and “Sing or dance” is the disjunction of “Sing” and “Dance”. A standard reaction to this dilemma consists in basing imperative logic on analogues of truth and falsity. For example, the imperative “Don’t enter” is satisfied if you don’t enter and is violated if you enter, and one might say that an inference from an imperative premise to an imperative conclusion is valid exactly if the satisfaction (rather than the truth) of the premise guarantees the satisfaction of the conclusion. But before getting into the details, more needs to be said on what exactly imperatives are. (shrink)

"Surrender; therefore, surrender or fight" is apparently an argument corresponding to an inference from an imperative to an imperative. Several philosophers, however (Williams 1963; Wedeking 1970; Harrison 1991; Hansen 2008), have denied that imperative inferences exist, arguing that (1) no such inferences occur in everyday life, (2) imperatives cannot be premises or conclusions of inferences because it makes no sense to say, for example, "since surrender" or "it follows that surrender or fight", and (3) distinct imperatives have conflicting permissive presuppositions (...) ("surrender or fight" permits you to fight without surrendering, but "surrender" does not), so issuing distinct imperatives amounts to changing one's mind and thus cannot be construed as making an inference. In response I argue inter alia that, on a reasonable understanding of 'inference', some everyday-life inferences do have imperatives as premises and conclusions, and that issuing imperatives with conflicting permissive presuppositions does not amount to changing one's mind. (shrink)

Using concepts of evolutionary game theory, this paper presents a critique of ethical intuitionism, or non-naturalism, in its cognitivist and objectivist interpretation. While epistemological considerations suggest that human rational learning through experience provides no basis for objective moral knowledge, it is argued below that modern evolutionary theory explains why this is so, i.e., why biological organisms do not evolve so as to experience objective preferences and obligations. The difference between the modes of the cognition of objective and of valuative environmental (...) attributes is explained with reference to different modes of natural selection acting on the cognitive apparatus of the organism. The negative implications are pointed out which the observable diversity of intraspecific behavioural adaptations and of cultural values has for the cognitivist, objectivist foundation of ethics. Eventually a non-cognitivist alternative to ethical intuitionism is outlined in terms of empirical authority relations, with the ritualisation of dominance-submission patterns as the evolutionary origin of human charismatic authority. (shrink)

The paper discusses ten philosophical problems in deontic logic: how to formally represent norms, when a set of norms may be termed ‘coherent’, how to deal with normative conflicts, how contraryto-duty obligations can be appropriately modeled, how dyadic deontic operators may be redefined to relate to sets of norms instead of preference relations between possible worlds, how various concepts of permission can be accommodated, how meaning postulates and counts-as conditionals can be taken into account, and how sets of norms may (...) be revised and merged. The problems are discussed from the viewpoint of input/output logic as developed by van der Torre & Makinson. We argue that norms, not ideality, should take the central position in deontic semantics, and that a semantics that represents norms, as input/output logic does, provides helpful tools for analyzing, clarifying and solving the problems of deontic logic. (shrink)

Imperatives cannot be true or false, so they are shunned by logicians. And yet imperatives can be combined by logical connectives: "kiss me and hug me" is the conjunction of "kiss me" with "hug me". This example may suggest that declarative and imperative logic are isomorphic: just as the conjunction of two declaratives is true exactly if both conjuncts are true, the conjunction of two imperatives is satisfied exactly if both conjuncts are satisfied—what more is there to say? Much more, (...) I argue. "If you love me, kiss me", a conditional imperative, mixes a declarative antecedent ("you love me") with an imperative consequent ("kiss me"); it is satisfied if you love and kiss me, violated if you love but don't kiss me, and avoided if you don't love me. So we need a logic of three -valued imperatives which mixes declaratives with imperatives. I develop such a logic. (shrink)

This paper presents and discusses Henri Poincaré’s view on the logical non-derivability of imperatives from indicatives. Firstly, his point of view is compared with David Hume’s. Then Poincaré’s thesis is shown to have been implicitly or explicitly essential to attempts to build a logic of imperatives (norms) as a special linguistic category as well as a deontic logic. The paper shows deontic logic enables us to formulate general principles concerning the logical separability of deonticals (sentences with deontic operators) and non-deontic (...) sentences. Finally, the paper includes remarks on the reception of Poincaré’s discussed ideas in later logical and philosophical literature with the second issue illustrated by legal philosophy. (shrink)

CAMILO, Bruno. Aspectos metafísicos na física de Newton: Deus. In: DUTRA, Luiz Henrique de Araújo; LUZ, Alexandre Meyer (org.). Temas de filosofia do conhecimento. Florianópolis: NEL/UFSC, 2011. p. 186-201. (Coleção rumos da epistemologia; 11). Através da análise do pensamento de Isaac Newton (1642-1727) encontramos os postulados metafísicos que fundamentam a sua mecânica natural. Ao deduzir causa de efeito, ele acreditava chegar a uma causa primeira de todas as coisas. A essa primeira causa de tudo, onde toda a ordem e leis (...) tiveram início, a qual para ele assume um caráter divino, Newton aponta para um Deus sábio e poderoso e responsável pela ordem inteligente e pela a harmonia das leis físicas e universais de tudo o que existe – Deus como criador e preservador da ordem do universo. Há ainda a analogia do conceito de Deus com o espaço e o tempo, na medida em que ambos comunicam infinitude e onipresença. Por fim, nas considerações finais apontarei a importância de Newton para a metafísica moderna e como os seus estudos contribuíram para uma visão posterior do universo e suas leis e do homem enquanto ser pensante. (shrink)

Mīmāṁsā, an Indian hermeneutics provides an exhaustive methodology to interpret Vedic statements. A formalism namely, Mīmāṁsā Inspired Representation of Actions has already been proposed in a preliminary manner. This paper expands the formalism logically and includes Syntax and Semantics covering Soundness and Completeness. Here, several interpretation techniques from Mīmāṁsā have been considered for formalising the statements. Based on these, instructions that denote actions are categorized into positive and prohibitive unconditional imperatives and conditional imperatives that enjoin reason, temporal action and goal. (...) These instructions are evaluated to three values S, V and N. If the instruction is executed with the intention of goal, then it acquires the value of S; if the intention of goal is present and the instruction is not executed, then it assumes the value of V; and if there is no intention of goal, then the instruction is evaluated to N. This formalism has also been applied in different computational settings such as AI planning, Robotics, task analysis and classification of natural language instructions. An outline of these applications and the comparison of this formalism with other relevant theories are also presented in this paper. (shrink)

The present article provides a taxonomic analysis of bimodal logics of normative ideality and normative awfulness, two notions whose meaning is here explained in terms of the moral values pursued by a given community. Furthermore, the article addresses the traditional problem of a reduction among deontic concepts: we explore the possibility of defining other relevant normative notions, such as obligation, explicit permission and Hohfeldian relations, in terms of ideality and awfulness. Some proposals in this respect, which have been formulated in (...) the literature over the years, are here improved and discussed with reference to the various logics that we will introduce. (shrink)

[full article, abstract in English; only abstract in Lithuanian] This paper proposes a new pragmatic interpretation of the Frege–Geach problem and presents a possible solution using a model of ascriptive legal language. The first section includes the definition of the Frege–Geach problem. In the second section, I analyze the content of Geach’s critical argument against prescriptivism in ethics. I discuss what Geach means by ascriptivism, why he mixes it with prescriptivism, and why a particular article by Herbert Hart became the (...) subject of criticism by Geach. The third section proposes a possible solution to the Frege–Geach problem based on the explication of the assertoric force of ascriptive legal utterances and the performativity of legal language. (shrink)

This paper generalises classical revision theory of the AGM brand to sets of norms. This is achieved substituting input/output logic for classical logic and tracking the changes. Operations of derogation and amendment—analogues of contraction and revision—are defined and characterised, and the precise relationship between contraction and derogation, on the one hand, and derogation and amendment on the other, is established. It is argued that the notion of derogation, in particular, is a very important analytical tool, and that even core deontic (...) concepts such as that of permission resists a satisfactory analysis without it. By way of illustration the last section of the paper analyses the much debated concept of positive permission, of which there turns out to be more than one kind. (shrink)

This paper proposes a framework for formalising intuitions about the behaviour of imperative commands. It seeks to capture notions of satisfaction and coherence. Rules are proposed to express key aspects of the general logical behaviour of imperative constructions. A key objective is for the framework to allow patterns of behaviour to be described while avoiding making any commitments about how commands, and their satisfaction criteria, are to be interpreted. We consider the status of some conundrums of imperative logic in the (...) context of this proposal. (shrink)

The article presents possible applications of Paul Ricoeur’s theory in interpretation of legal texts and legally relevant human action. One should notice that Paul Ricoeur developed a comprehensive interpretation theory of two seemingly distant phenomena: literary texts and human action. When interrelating these issues, it becomes possible, on the basis of Ricoeur’s work, to construct a unified theory of the interpretation of legal texts and of legally relevant human action. What is provided by this theory for jurisprudence is the possibility (...) of formulating a comprehensive theory of application of law, well established in the ontology of the recipient of the legal text. It should be emphasised that the resulting benefits, outlined in the article become particularly noticeable when set against the background of the methodological weaknesses of legal positivism, concerning both the interpretation of law and a syllogistic model of its application. (shrink)

In this paper I propose violation games as the basis of formal logics to represent and reason about norms, i.e. as the foundation of deontic logic. Deontic logic is an applied non-classical logic reflecting a way in which we conceptualize normative reasoning. By introducing violation games as a fundamental principle of deontic logic, I am introducing a new way of looking at familiar problems in normative reasoning, with the aim of introducing a new approach for handling norms in intelligent systems.

El objeto principal de este trabajo consiste en discutir una propuesta de C. Alchourrón y A. Martino para hacer frente al problema de la fundamentación de la lógica deóntica, planteado por el dilema de Jørgensen. La propuesta criticada se basa en la idea de que no existe obstáculo alguno en compatibilizar la idea de que las normas carecen de valor de verdad con la idea de que poseen una lógica, una vez que se renuncia al "prejuicio filosófico" de que es (...) indispensable caracterizar semánticamente las relaciones y propiedades lógicas y se explica la lógica a partir de la noción abstracta de consecuencia, desligándola de las nociones de verdad y falsedad. Sostienen que el significado de los operadores deónticos, al igual que el de los términos lógicos en la deducción natural, puede quedar totalmente expresado una vez que se explicita su uso mediante reglas de introducción y eliminación. Para ilustrar su propuesta, pretenden ofrecer una fundamentación puramente sintáctica de la lógica deóntica standard. Mis críticas se centran en tres puntos: a) no utilizan auténticas reglas de introducción para los operadores deónticos; b) no derivan la lógica deóntica standard como pretenden haber hecho, y c) no se establecen criterios para relacionar las fórmulas del cálculo con el lenguaje normativo ordinario, con lo que no existen razones para considerar que se trata de una lógica deóntica. Defiendo la idea de que, a los fines de fundamentar semánticamente la lógica deóntica, sólo es necesario que existan interpretaciones admisibles que atribuyan valores de verdad a las normas, y que este requisito es cumplido por la semántica usual de la lógica deóntica standard, con lo que el dilema de Jørgensen resulta ser un seudoproblema. In this paper I discuss a proposal from C. Alchourrón and A. Martino with which they try to face the problem posed to the foundation of deontic logic by Jørgensen' s dilemma. Their proposal is based on the idea that there is no problem at all in compatibilizing the fact that norms lack truth values with their possession of a logic, once it is denied that it is absolutely necessary to offer a semantic characterization of logical properties and relations, and the abstract notion of consequence is taken as primitive. They claim that the meaning of deontic operators, like that of logical terms in natural deduction, is completely expressed through their use, which is explained by means of rules of introduction and elimination. As an illustration, they present a calculus with which they intend to offer a foundation for standard deontic logic. I make three objections: a) They don' t use real rules of introduction for deontic operators; b) They don' t have derived standard deontic logic as they claim; c) There are no criteria for relating the formulas with ordinary normative discourse; so there are no reasons for considering their calculus as a deontic logic. I claim that, in order to give a semantical foundation to deontic logic it is only necessary that there are admissible interpretations that assign truth values to norms, and that this requisite is satisfied by the usual semantic of standard deontic logic. I conclude that Jørgensen' s dilemma is a pseudoproblem. (shrink)

This paper concerns the formal semantic analysis of imperative sentences. It is argued that such an analysis cannot be deferred to the semantics of propositions, under any of the three commonly adopted strategies: the performative analysis, the sentence radical approach to propositions, and the (nondeclarative) mood-as-operator approach. Whereas the first two are conceptually problematic, the third faces empirical problems: various complex imperatives should be analysed in terms of semantic operators over simple imperatives. One particularly striking case is the Dutch pluperfect (...) imperative. It is argued that this construction should be analysed as a genuine counterfactual imperative. On the constructive side, in the last part of the paper a formal semantic analysis of imperatives is presented, in the framework of Update Semantics. On this analysis, imperatives are sui generis semantic entities, on a par with propositions. The analysis also includes an account of the counterfactual imperatives. (shrink)

Emotivists like Ayer claim that moral sentences are devoid of cognitive meaning since they only evince attitudinal approval or disapproval of actions. In this paper, I explore two non-classical sem...

In this paper, we indicate how Jan Woleński’s non-linguistic concept of the norm allows us to clarify the deontic relationship between sentences and the given normative system. A relationship of this kind constitutes a component of the metalogic of relating deontic logic, which subjects the logical value of the deontic sentence to the logical value of the constituent sentence and its relationship with a given normative system in the accessible possible worlds.

Formalising deontic concepts, such as obligation, prohibition and permission, is normally carried out in a modal logic with a possible world semantics, in which some worlds are better than others. The main focus in these logics is on inferring logical consequences, for example inferring that the obligation O q is a logical consequence of the obligations O p and O. In this paper we propose a non-modal approach in which obligations are preferred ways of satisfying goals expressed in first-order logic. (...) To say that p is obligatory, but may be violated, resulting in a less than ideal situation s, means that the task is to satisfy the goal p ∨ s, and that models in which p is true are preferred to models in which s is true. Whereas, in modal logic, the preference relation between possible worlds is part of the semantics of the logic, in this non-modal approach, the preference relation between first-order models is external to the logic. Although our main focus is on satisfying goals, we also formulate a notion of logical consequence, which is comparable to the notion of logical consequence in modal deontic logic. In this formalisation, an obligation O p is a logical consequence of goals G, when p is true in all best models of G. We show how this non-modal approach to the treatment of deontic concepts deals with problems of contrary-to-duty obligations and normative conflicts, and argue that the approach is useful for many other applications, including abductive explanations, defeasible reasoning, combinatorial optimisation, and reactive systems of the production system variety. (shrink)

A Lei de Hume, pela qual um dever ser não pode resultar de um ser, e a sua recíproca, pela qual um ser não pode resultar de um dever ser, ocupam posições proeminentes nas discussões de metaética. Neste trabalho mostrarei relações lógicas entre distintas formulações da Lei de Hume e da sua recíproca. Também mostrarei como essas formulações estão relacionadas a teses sustentadas por importantes pensadores como Poincaré, Nelson, Jörgensen e Hare.

Abstract.The author gives a short survey of the different methods which have been proposed to deal with the logic of norm sentences on the basis of logical systems of descriptive language: deontic logic, logic of norms as an isomorphism of propositional logic, restriction of logical relations to the propositional content of norm sentences, transformation of norms into sanction sentences, preference interpretation of norm sentences, double interpretation of ought‐sentences and the use of the descriptive interpretation as a tool for establishing the (...) logic of norms, proposition about norms in the place of normative logic, the logic of admissible worlds, postulates addressed to the rational lawgiver and technical ought as a substitute for nor‐mological considerations. A critical analysis of these attempts may prove them inappropriate, but it is not sufficient to prove the impossibility of any method of founding normative logic on systems of a descriptive language. Therefore the author adds a general consideration on the chances of such approaches. (shrink)

The DAPRECO knowledge base is the main outcome of the interdisciplinary project bearing the same name. It is a repository of rules written in LegalRuleML, an XML formalism designed to be a standard for representing the semantic and logical content of legal documents. The rules represent the provisions of the General Data Protection Regulation, the new Regulation that is significantly affecting the digital market in the European Union and beyond. The DAPRECO knowledge base builds upon the Privacy Ontology, which provides (...) a model for the legal concepts involved in the GDPR, by adding a further layer of constraints in the form of if-then rules, referring either to standard first order logic implications or to deontic statements. If-then rules are formalized in reified Input/Output logic and then codified in LegalRuleML. Reified Input/Output logic is an application of standard Input/Output logic for legal reasoning, in which Input/Output logic is combined with the reification-based approach in Hobbs and Gordon. The DAPRECO knowledge base is then a case study for reified Input/Output logic, and it shows that the formalism indeed appears to be a good candidate to effectively formalize, via uniform and simple representations, complex linguistic/deontic phenomena that may be found in legal texts. To date, the DAPRECO knowledge base is the biggest knowledge base in LegalRuleML and Input/Output logic freely available online. (shrink)

This article aims to achieve two goals: to show that probability is not the only way of dealing with uncertainty ; and to provide evidence that logic-based methods can well support reasoning with uncertainty. For the latter claim, two paradigmatic examples are presented: logic programming with Kleene semantics for modelling reasoning from information in a discourse, to an interpretation of the state of affairs of the intended model, and a neural-symbolic implementation of input/output logic for dealing with uncertainty in dynamic (...) normative contexts. (shrink)

Besides pure declarative arguments, whose premises and conclusions are declaratives (“you sinned shamelessly; so you sinned”), and pure imperative arguments, whose premises and conclusions are imperatives (“repent quickly; so repent”), there are mixed-premise arguments, whose premises include both imperatives and declaratives (“if you sinned, repent; you sinned; so repent”), and cross-species arguments, whose premises are declaratives and whose conclusions are imperatives (“you must repent; so repent”) or vice versa (“repent; so you can repent”). I propose a general definition of argument (...) validity: an argument is valid exactly if, necessarily, every fact that sustains its premises also sustains its conclusion, where a fact sustains an imperative exactly if it favors the satisfaction over the violation of the imperative, and a fact sustains a declarative exactly if, necessarily, the declarative is true if the fact exists. I argue that this definition yields as special cases the standard definition of validity for pure declarative arguments and my previously defended definition of validity for pure imperative arguments, and that it yields intuitively acceptable results for mixed-premise and cross-species arguments. (shrink)

ment on the same propositions, and is plagued by impossibility re- 2. What is the role of independence in judgment aggregation sults. In this paper we study the central notion of independence in..

This article aims to achieve two goals: to show that probability is not the only way of dealing with uncertainty ; and to provide evidence that logic-based methods can well support reasoning with uncertainty. For the latter claim, two paradigmatic examples are presented: logic programming with Kleene semantics for modelling reasoning from information in a discourse, to an interpretation of the state of affairs of the intended model, and a neural-symbolic implementation of input/output logic for dealing with uncertainty in dynamic (...) normative contexts. (shrink)

This article aims to show that the incompatibility between the application of logic to norms and values and the expressive conception of these notions – basically summed up by the Frege–Geach problem – can be overcome. To this end, a logic is constructed for the expressive conception of norms and values which provides a solution to the Frege–Geach problem and is not affected by the limitations that occur in some previous attempts. More specifically, a pragmatic language LP is introduced which (...) is an extension of the language L of standard propositional logic, obtained by adding two categories of logical-pragmatic signs to the vocabulary of L: the signs of pragmatic mood (,,, standing for assertion, obligation and approval, respectively) and the pragmatic connectives (∼, ∩, ∪, ⊃, ≡, standing for pragmatic negation, conjunction, disjunction, implication and bi-implication, respectively). The notions of pragmatic validity, consistency (satisfiability), compatibility, equivalence and inference are then defined, and some criteria of pragmatic validity are given. It is thus possible to carry out in LP inferences on norms and values expressively understood, adequately formalizing Geach's problematic inferences. (shrink)

Besides pure declarative arguments, whose premises and conclusions are declaratives, and pure imperative arguments, whose premises and conclusions are imperatives, there are mixed-premise arguments, whose premises include both imperatives and declaratives, and cross-species arguments, whose premises are declaratives and whose conclusions are imperatives or vice versa. I propose a general definition of argument validity: an argument is valid exactly if, necessarily, every fact that sustains its premises also sustains its conclusion, where a fact sustains an imperative exactly if it favors (...) the satisfaction over the violation proposition of the imperative, and a fact sustains a declarative exactly if, necessarily, the declarative is true if the fact exists. I argue that this definition yields as special cases the standard definition of validity for pure declarative arguments and my previously defended definition of validity for pure imperative arguments, and that it yields intuitively acceptable results for mixed-premise and cross-species arguments. (shrink)