This paper investigates the implicative conditional, a connective intended to describe the logical behavior of an empirically defined class of natural language conditionals, also namedimplicative conditionals, which excludes concessive and some other conditionals. The implicative conditional strengthens the strict conditional with the possibility of the antecedent and of the contradictory of the consequent.$${p\Rightarrow q}$$p⇒qis thus defined as$${\lnot } \Diamond {(p \wedge \lnot q) \wedge } \Diamond {p \wedge } \Diamond {\lnot q}$$¬◊(p∧¬q)∧◊p∧◊¬q. We explore the logical (...) properties of this conditional in a reflexive normal Kripke semantics, provide an axiomatic system and prove it to be sound and complete for our semantics. The implicative conditional validates transitivity and contraposition, which we take to be integral parts of reasoning and communication. But it only validates restricted versions of strengthening the antecedent, right weakening, simplification, and rational monotonicity. Apparent counterexamples to some of these properties are explained as due to contextual factors. Finally, the implicative conditional avoids the paradoxes of material and strict implication, and validates some connexive principles such as Aristotle’s theses and weak Boethius’ thesis, as well as some highly entrenched principles of conditionals, such as conjunction of consequents, disjunction of antecedents, modus ponens, cautious monotonicity and cut. (shrink)

This paper compares two logical conditionals which are strengthenings of the strict conditional and avoid the paradoxes of strict implication. The logics of both may be viewed as extensions of KT, and the two conditionals are interdefinable in KT. The implicative conditional requires that its antecedent and consequent be both contingent. The consequential conditional may be viewed as a weakening of the implicative conditional, insofar as it also admits the case in which the antecedent and the (...) consequent are strictly equivalent (either both necessary or both impossible). The two conditionals share a number of properties, among them Transitivity, Contraposition, Aristotle’s Thesis, Weak Boethius’ Thesis and Aristotle’s Second Thesis. They also share some restricted principles such as Possibilistic Monotonicity, Possibilistic Simplification and Possibilistic Right Weakening. They differ in relation to Identity, which is validated by consequential implication, while the implicative conditional only validates the restricted principle of Possibilistic Identity. The relations between the two conditionals are represented by two Aristotelian cubes of opposition, one involving the contrariety between If A, then B and If A, then ¬B, according to Weak Boethius’ Thesis, and the other the contrariety between If A, then B and If ¬A, then B, according to Aristotle’s Second Thesis. We also explore the relations between the two logical conditionals and natural language conditionals, emphasizing the dependence of the latter on the context, and the need to distinguish natural language conditionals which may be viewed as consequential or implicative, on one side, and concessive and some other types of conditionals, on the other. (shrink)

People respond to metaphors as much with regard to the emotions that they generate as to their referential, comparative contents. Interviews with non-geneticists about preferred metaphors for gene-environment interaction that illustrate this tendency are reported. These interviews also reveal the dynamic tendency of such emotional responses. A second set of interviews shows that lay people may preferentially use a metaphor of "virus" or "disease" for talking about genes, as opposed to the coding metaphors transmitted through the mass media and reportedly (...) preferred by geneticists. An explanation based on the differently situated emotions of these groups is proposed. It is proposed that the prominence of emotions in responding to genetics indicates the importance of incorporating analyses of emotions instead of simple principles into policy formulation about genetics. (shrink)

In the face of documented difficulties in the public understanding of genetics, new metaphors have been suggested. The language of information coding and processing has become deeply entrenched in the public representation of genetics, and some critics have found fault in the blueprint metaphor, a variant of the dominant theme. They have offered the language of the recipe as a preferable metaphor. The metaphors of the blueprint and the recipe are compared in respect to their deterministic implications and other associations. (...) The likelihood of the recipe metaphor framing cognition in more useful ways is called into question. (shrink)

It is natural to ask under what conditions negating a conditional is equivalent to negating its consequent. Given a bivalent background logic, this is equivalent to asking about the conjunction of Conditional Excluded Middle (CEM, opposite conditionals are not both false) and Weak Boethius' Thesis (WBT, opposite conditionals are not both true). In the system CI.0 of consequential implication, which is intertranslatable with the modal logic KT, WBT is a theorem, so it is natural to ask which instances (...) of CEM are derivable. We also investigate the systems CIw and CI of consequential implication, corresponding to the modal logics K and KD respectively, with occasional remarks about stronger systems. While unrestricted CEM produces modal collapse in all these systems, CEM restricted to contingent formulas yields the Alt2 axiom (semantically, each world can see at most two worlds), which corresponds to the symmetry of consequential implication. It is proved that in all the main systems considered, a given instance of CEM is derivable if and only if the result of replacing consequential implication by the material biconditional in one or other of its disjuncts is provable. Several related results are also proved. The methods of the paper are those of propositional modal logic as applied to a special sort of conditional. (shrink)

This paper falls into two parts. In the first part, I argue that consideration of general indicative conditionals, e.g., sentences like If a donkey brays it is beaten, provides a powerful argument that a pure material implication analysis of indicative if p, q is correct. In the second part I argue, opposing writers like Jackson, that a Gricean style theory of pragmatics can explain the manifest assertability conditions of if p, q in terms of its conventional content – assumed (...) to be merely (p⊃q) – and the conversational implicature contents which utterance of if p, q may gain in certain contexts. I also defend the pragmatic approach against a recent objection by Edgington that appeal to pragmatics cannot explain what we are inclined to say about the believability conditions, as opposed to the assertability conditions, of indicative if p, q. (shrink)

Implications of the Level of Dogmatism and Selected Psychosocial Conditions for a Propensity for Risky Behaviour among the Soldiers of the Polish Army Land Forces The article presents the results of a study concerning a propensity for risky behaviour, conducted on regular soldiers of the Polish Army Land Forces. Its aim was to verify whether a level of dogmatism and selected psychosocial conditions were related to a propensity for risky behaviour among the soldiers. The research partially confirmed the hypothesis of (...) psychosocial determinants of a propensity for such behaviour. Young and shortserving soldiers appeared to be more inclined to undertake risky behaviour than older and long-serving ones. A tendency to avoid risky behaviour was displayed by soldiers from small towns as compared to groups of respondents from larger towns. The results of the research did not indicate a significant relationship between the propensity for risky behaviour and the level of dogmatism, education, personal corps, professional position. (shrink)

Solving poverty is a laudable public policy goal. While there are many approaches, one that has gained popularity is the conditional cash transfer that requires recipients to satisfy conditions imposed on them such as requiring regular medical checkups. Another approach, which is gaining interest is unconditional cash transfers that do not impose conditions. The question we ask in this paper is: what do these past and current attempts tell us about the implications for gender? To answer this question, we explore (...) two programs using a gendered framework: Brazil's Bolsa Familia,which is a conditional cash transfer, and Manitoba's Mincome experiment, which was an unconditional cash transfer in Canada. We then consider how this information might be used by states, particularly as it relates to ending social marginalization. Broadly, this research contributes to academic discussions of public policy, income, gender and social vulnerability. (shrink)

Hypotheticals, conditionals, and their connecting relation, implication, dramatically changed their meanings during the nineteenth and early part of the twentieth century. Modern logicians ordinarily do not distinguish between the terms hypothetical and conditional. Yet in the late nineteenth century their meanings were quite different, their ties to the implication relation either were unclear, or the implication relation was used exclusively as a logical operator. I will trace the development of implication as an inference operator from these earlier notions into (...) the first third of the twentieth century using as the starting point the ideas primarily of R. Whately and W. Hamilton before discussing the work of the transitional logicians, A. De Morgan and G. Boole on these topics. Then we discuss the relevant views of four prominent but relatively unknown nineteenth century British logicians, W.E. Johnson, J.N. Keynes, E.E.C. Jones, and H. MacColl, as well as those of the more influential logicians, W.S. Jevons and J. Venn, closing with a section on ‘implication as inference’ where we explore some key ideas of B. Russell and sketch the work of D. Hilbert, P. Hertz, and G. Gentzen who together are responsible for the development of the modern ideas related to the subjects of this paper. (shrink)

Digital communication between a patient and their clinician offers the potential for improved patient care, particularly for young people with long term conditions who are at risk of service disengagement. However, its use raises a number of ethical questions which have not been explored in empirical studies. The objective of this study was to examine, from the patient and clinician perspective, the ethical implications of the use of digital clinical communication in the context of young people living with long-term conditions. (...) A total of 129 semi-structured interviews, 59 with young people and 70 with healthcare professionals, from 20 United Kingdom -based specialist clinics were conducted as part of the LYNC study. Transcripts from five sites were read by a core team to identify explicit and implicit ethical issues and develop descriptive ethical codes. Our subsequent thematic analysis was developed iteratively with reference to professional and ethical norms. Clinician participants saw digital clinical communication as potentially increasing patient empowerment and autonomy; improving trust between patient and healthcare professional; and reducing harm because of rapid access to clinical advice. However, they also described ethical challenges, including: difficulty with defining and maintaining boundaries of confidentiality; uncertainty regarding the level of consent required; and blurring of the limits of a clinician’s duty of care when unlimited access is possible. Paradoxically, the use of digital clinical communication can create dependence rather than promote autonomy in some patients. Patient participants varied in their understanding of, and concern about, confidentiality in the context of digital communication. An overarching theme emerging from the data was a shifting of the boundaries of the patient-clinician relationship and the professional duty of care in the context of use of clinical digital communication. The ethical implications of clinical digital communication are complex and go beyond concerns about confidentiality and consent. Any development of this form of communication should consider its impact on the patient-clinician-relationship, and include appropriate safeguards to ensure that professional ethical obligations are adhered to. (shrink)

Last-mile delivery platforms have recently emerged as effective business models to match supply and demand, even though they have been criticized for potentially exploiting their workers. This paper investigates the corporate sustainability and socio-economic trade-offs of platform companies in relation to working conditions (i.e., work relationships, social subsystems, and technical subsystem). A survey of 392 paid-per-order workers from six food delivery platforms across Spain was conducted to validate our research framework. Our findings provide a nuanced understanding of the impact of (...) working conditions on corporate sustainability in platform companies. On the one hand, there are positive implications for both social and economic sustainability in the presence of higher earnings, rights and protections, and empowerment for workers. Conversely, prolonged work relationships between workers and platform companies are negatively related to workers’ perceived stress and individual performance. Based on these insights, we advance our understanding of how platform companies can deal with conflicting objectives regarding working conditions by adopting an instrumental approach in the case of short-term workers and an integrative approach with long-term workers. (shrink)

This paper investigates whether 'even if A, B' is pragmatically polysemic, so that a nonconcessive conditional may have 'even if', and whether concessive conditionals, pragmatically defined, can fail to have 'even if' or a non-temporal 'still'. Different paraphrases are used to help elucidate pragmatic meanings. A theory of the pragmatic meanings of concessive and implicative conditionals is presented. The semantic meaning of 'even if' and the question of whether concessive conditionals imply the truth of their consequents (...) are also discussed. (shrink)

A theory of necessary and sufficient conditions is presented, as well as a theory of necessary and sufficient causes and effects, viewed as a particular case of the former. Ambiguities of the terms 'condition' and 'necessary condition' are explored, and a neutral meaning for 'condition' is favoured. The relation between necessary and sufficient conditions and implicative conditionals (including counterfactuals) is also discussed. Two problems of counterfactual theories of causal explanation are indicated, concerning (i) how to account for causes (...) that are not necessary and (ii) how to interpret the counterfactual from the negation of the effect to the negation of the cause. Application of the theory of necessary and sufficient conditions to Euler’s explanation of the Königsberg bridge problem is discussed. The theory of necessary and sufficient causes and effects is then applied to the flagpole shadow explanation and to two biological explanations, one involving a sufficient but not necessary cause and the other a necessary but not sufficient cause. Causes that are neither sufficient nor necessary are also recognized. Finally, a probabilistic approach to causes that are either not sufficient or not necessary is explored, including its application to examples of such cases. (shrink)

Generic statements express generalizations about categories and present a unique semantic profile that is distinct from quantified statements. This paper reports two studies examining the development of children's intuitions about the semantics of generics and how they differ from statements quantified by all, most, and some. Results reveal that, like adults, preschoolers recognize that generics have flexible truth conditions and are capable of representing a wide range of prevalence levels; and interpret novel generics as having near-universal prevalence implications. Results further (...) show that by age 4, children are beginning to differentiate the meaning of generics and quantified statements; however, even 7- to 11-year-olds are not adultlike in their intuitions about the meaning of most-quantified statements. Overall, these studies suggest that by preschool, children interpret generics in much the same way that adults do; however, mastery of the semantics of quantified statements follows a more protracted course. (shrink)

(1995). Prediction in chaotic social, economic, and political conditions: The conflict between traditional chaos theory and the psychology of prediction, and some implications for general evolution theory. World Futures: Vol. 44, No. 1, pp. 15-31.

In this essay I ask the reader to consider the “end of life” as a life stage, rather than as a health state. At one end of the life course is childhood and at the other end is elderhood. The basic inter-generational social compact in most societies is that working adults take care of their children and their parents, and count on their children to do the same for them. In developed countries, these obligations are met in part through government (...) programs, with taxpayers funding significant portions of education, health care, and income support. (shrink)

I discuss paradoxes of implication in the setting of a proof-conditional theory of meaning for logical constants. I argue that a proper logic of implication should be not only relevant, but also constructive and nonmonotonic. This leads me to select as a plausible candidate LL, a fragment of linear logic that differs from R in that it rejects both contraction and distribution.

This chapter was written in 2013 and was posted in the Semantics Archive in January 2014. The preprint of the published version has been in the Semantics Archive since 2016. The Semantics Archive is an electronic preprint archive hosted by the Linguistics Society of America. -/- The chapter looks at indicative conditionals embedded under quantifiers, with a special emphasis on ‘one-case’, episodic, conditionals as in "No query was answered if it came from a doubtful address." It agrees with (...) earlier assessments that a complete conditional (with antecedent and consequent) is embedded under a quantifier in those constructions, but then proceeds to create a dilemma by showing that we can’t always find the right interpretation for that conditional. Contrary to earlier assessments, Stalnaker’s conditional won’t always do. The paper concludes that the embedded conditional in the sentence above is a material implication, but the "if"-clause also plays a pragmatic role in restricting the domain of the embedding quantifier. That an appeal to pragmatics should be necessary at all goes with Edgington’s verdict that “we do not have a satisfactory general account of sentences with conditional constituents.” -/- One of the conclusions drawn at the end of the chapter is that the English modal "will" should be given a Stalnaker selection function analysis. The idea is implemented by attaching to "will" an accessibility function variable that receives its value from the context of use and can be dynamically updated by preceding "if"-clauses, as proposed in von Fintel (1994). The argument for a Stalnaker selection function analysis of "will" provided by the paper is that, together with the restrictor analysis of "if"-clauses, it yields the correct truth-conditions for "will"-conditionals (as opposed to episodic, 'one case', conditionals) embedded under quantifiers. The proposal that the English modal "will" should be given a Stalnaker selection function analysis has since been taken up and elaborated considerably in Cariani & Santorio's (2018) paper on "will" in Mind, and is a central idea in Cariani's (2021) book The Modal Future. (shrink)

Conditional sentences are among the most intriguing and puzzling features of language, and analysis of their meaning and function has important implications for, and uses in, many areas of philosophy. Jonathan Bennett, one of the world's leading experts, distils many years' work and teaching into this book, making it the fullest and most authoritative treatment of the subject.

Evaluative conditioning (EC) refers to the change in the valence of a conditioned stimulus (CS) due to its pairing with a positive or negative unconditioned stimulus (US). To the extent that core affect can be characterised by the two dimensions of valence and arousal, EC has important implications for the origin of affective responses. However, the distinction between valence and arousal is rarely considered in research on EC or conditioned responses more generally. Measuring the subjective feelings elicited by a CS, (...) the results from two experiments showed that (1) repeated pairings of a CS with a positive or negative US of either high or low arousal led to corresponding changes in both CS valence and CS arousal, (2) changes in CS arousal, but not changes in CS valence, were significantly related to recollective memory for CS–US pairings, (3) subsequent presentations of the CS without the US reduced the conditioned valence of the CS, with conditioned arousal being less susceptible to extinction and (4) EC effects were stronger for high arousal than low arousal USs. The results indicate that the conditioning of affective responses can occur simultaneously along two independent dimensions, supporting evidence in related areas that calls for a consideration of both valence and arousal. Implications for research on EC and the acquisition of emotional dispositions are discussed. (shrink)

Religions, ideologies try to give a complete vision of the world a vision containing both its origin, explanation and a “normative kit”: a collection of precepts and rules, which should regulate human activities and behavior. Their synergetic meaning is clear: if embraced by all they allow for development of strong synergetic effects on the social macro scales. These in turn may lead to creation of order and beauty, of intellectual, spiritual and moral development within men and in society. In this (...) consist the elements of their natural—i.e. not explicitly reasoned out—wisdom. However, as they contain also some elements of harmful consequences—at least if they are literally accepted and in a fundamentalist manner practiced—they cannot be universally accepted. But—rejecting them we lose also the important sourcesof natural—or should we say instinctive—wisdom.Could the solution of this contradiction, of this one of the basic human sources of suffering be looked for in the modern science of complexity?Synergetics and the sciences of complex systems in general offer a solid scientific base for a meta-philosophical, universalist intellectual framework. Its offspring the social synergetics offers concrete propositions of optimized social structures. Optimized in the sense of espousing the main synergetic effects with being at the same time free of the negative “side effects” happening when religions or ideologies are the source of synergism.Finally a connection is discussed between the presented ideas and the concept of “love of wisdom”. The term “love of wisdom” may be understood as striving not only to possess a “sound and serene judgment regarding the conduct of life” but also a practical ability to act according to that judgment.This ability may be also expressed using the information-thermodynamic concepts of synergetics. Indeed without the ever continuing negentropy transformation neither survival of a complex system like man or society nor its continuing development—uncovering of all his “hidden potentials” is possible.To assure maximization of this transformation process creation of strong synergetic effects—of reinforcement, of positive feedback—between all human beings—i.e. not excluding any nations, any social groups, and any individuals—are necessary. Acting towards local and global realization of such a structure everywhere on our planet constitutes the essence of social wisdom.Removing all obstacles towards this goal—obstacles existing on the intellectual, emotional and spiritual level—should be one of the most important tasks of various institutions, of state structures, of purified from mythical elements ideologies, of man oriented sciences and above all of the modern universalism.Thus striving towards its realization is an expression of the love of wisdom. Of wisdom once based on the elements of mythos and now regained in the full light of Logos. (shrink)

Although logical settings are typically concerned with tracking alethic considerations, frameworks exist in which topic-theoretic considerations—e.g., tracking subject-matter or topic—are given equal importance. Intuitions about extending topic through a propositional language are generally straightforward for extensional cases. For a number of reasons, arriving at a compelling account of the subject-matter of intensional operators—such as intensional conditionals—is a more difficult task. In particular, the framework of topic-sensitive intentional modals (TSIMs) championed by Francesco Berto and his collaborators leave the topics of (...) intensional formulae undefined, which artificially constricts the expressivity of the theory. This paper proposes an approach to fill in this lacuna, emphasizing an analogous problem in Parry-style containment logics. In this setting, the approach receives a proof-of-concept through the introduction of a natural and general family of subsystems of Parry’s $${\textsf{PAI}}$$ PAI —with sound and complete axiomatizations—that allow a fine degree of control over the topics of intensional conditionals. (shrink)

Inference versus consequence , an invited lecture at the LOGICA 1997 conference at Castle Liblice, was part of a series of articles for which I did research during a Stockholm sabbatical in the autumn of 1995. The article seems to have been fairly effective in getting its point across and addresses a topic highly germane to the Uppsala workshop. Owing to its appearance in the LOGICA Yearbook 1997 , Filosofia Publishers, Prague, 1998, it has been rather inaccessible. Accordingly it is (...) republished here with only bibliographical changes and an afterword. (shrink)

We show that the implicational fragment of intuitionism is the weakest logic with a non-trivial probabilistic semantics which satisfies the thesis that the probabilities of conditionals are conditional probabilities. We also show that several logics between intuitionism and classical logic also admit non-trivial probability functions which satisfy that thesis. On the other hand, we also prove that very weak assumptions concerning negation added to the core probability conditions with the restriction that probabilities of conditionals are conditional probabilities are (...) sufficient to trivialize the semantics. (shrink)

In this paper I examine a recent scientific claim that travel into the past, so long as a ‘consistent’ trajectory is followed, may be possible. I then argue that the possibility of such travel has unexpected implications for the free will‐determinism debate. In particular, human existence may be, at best, determinate but uncaused.

Se realizó una revisión bibliográfica con el objetivo de valorar las implicaciones sociales de la investigación científico-tecnológica en Neurosicología del Adulto Mayor, mediante la caracterización del estado actual del proceso, los condicionantes que favorecen o impiden su desarrollo y los impactos sociales que genera. La investigación científico-tecnológica en esta área está condicionada por necesidades sociales propias del contexto actual. Se han identificado políticas, legislaciones e infraestructuras que la favorecen, aunque, existen algunas limitaciones. La producción tecnológica dirigida a la rehabilitación y (...) estimulación cognitiva continúa en ascenso, utilizando principalmente software y aplicaciones. La investigación del impacto de estas herramientas ha arrojado resultados contradictorios, lo que limita su poder de transformación social. Se pudo concluir que en Cuba es necesario estimular la transferencia de tecnología, la innovación tecnológica y la creación de alternativas de intervención ajustadas a la realidad económico-social de los adultos mayores. A bibliographical review was conducted with the aim of assessing the social implications of scientific-technological research in Senior Citizens' Neurosurgery through the characterization of the current state of the process, the determining factors that favor or stop its development and the social impact it generates. In this field, scientific-technological research is conditioned on social necessities typical of the current context. Policies, legislations and the infrastructures that favor it have been identified. Nevertheless, there are limitations. Technological production directed towards cognitive rehabilitation and stimulation continues to rise using mainly software and applications. The research on the impact of these tools has produced contradictory results, which limit their social transformation power. It was reached the conclusion that in Cuba, there's a need to stimulate technology transfer, technological innovation and the creation of intervention alternatives adapted to senior citizens' social-economic reality. (shrink)

The use of genome-wide association studies in medical research and the increased ability to share data give a new twist to some of the perennial ethical issues associated with genomic research. GWAS create particular challenges because they produce fine, detailed, genotype information at high resolution, and the results of more focused studies can potentially be used to determine genetic variation for a wide range of conditions and traits. The information from a GWA scan is derived from DNA that is a (...) powerful personal identifier, and can provide information not just on the individual, but also on the individual's relatives, related groups, and populations. Furthermore, it creates large amounts of individual-specific digital information that is easy to share across international borders. This paper provides an overview of some of the key ethical issues around GWAS: consent, feedback of results, privacy, and the governance of research. Many of the questions that lie ahead of us in terms of the next generation sequencing methods will have been foreshadowed by GWAS and the debates around ethical and policy issues that these have created. (shrink)

While there is now considerable experimental evidence that, on the one hand, participants assign to the indicative conditional as probability the conditional probability of consequent given antecedent and, on the other, they assign to the indicative conditional the “defective truth-table” in which a conditional with false antecedent is deemed neither true nor false, these findings do not in themselves establish which multi-premise inferences involving conditionals participants endorse. A natural extension of the truth-table semantics pronounces as valid numerous inference patterns (...) that do seem to be part of ordinary usage. However, coupled with something the probability account gives us—namely that when conditional-free ϕ entails conditional-free ψ, “if ϕ then ψ” is a trivial, uninformative truth—we have enough logic to derive the paradoxes of material implication. It thus becomes a matter of some urgency to determine which inference patterns involving indicative conditionals participants do endorse. Only thus will we be able to arrive at a realistic, systematic semantics for the indicative conditional. (shrink)

This book looks at the ways in which conditionals, an integral part of philosophy and logic, can be of practical use in computer programming. It analyzes the different types of conditionals, including their applications and potential problems. Other topics include defeasible logics, the Ramsey test, and a unified view of consequence relation and belief revision. Its implications will be of interest to researchers in logic, philosophy, and computer science, particularly artificial intelligence.

Explores the human condition in a range of world religions and discusses the issue and philosophical implications of comparison itself.

It is argued that contraposition is valid for a class of natural language conditionals, if some modifications are allowed to preserve the meaning of the original conditional. In many cases, implicit temporal indices must be considered, making a change in verb tense necessary. A suitable contrapositive for implicative counterfactual conditionals can also usually be found. In some cases, the addition of certain words is necessary to preserve meaning that is present in the original sentence and would be (...) lost or changed in the contrapositive without them. A distinction is made between adding new meaning and adding new words to preserve existing meaning. For concessive conditionals and relevance conditionals, however, no valid contrapositive can be found. They do not belong to the class of contraposable conditionals, which can be independently defined. Difficult cases are also discussed in which the contradictory of the consequent semantically entails the truth of the antecedent. In such cases the content of the antecedent is implicit in the meaning of the consequent. Contraposition becomes possible if what is implicit in the original consequent is made explicit in the contrapositive antecedent. (shrink)

The paper presents a non-monotonic inference relation on a language containing a conditional that satisfies the Ramsey Test. The logic is a weakening of classical logic and preserves many of the ‘paradoxes of implication’ associated with the material implication. It is argued, however, that once one makes the proper distinction between supposing that something is the case and accepting that it is the case, these ‘paradoxes’ cease to be counterintuitive. A representation theorem is provided where conditionals are given a (...) non-bivalent semantics and epistemic states are represented via preferential models. (shrink)

Why are conditional degrees of belief in an observation E, given a statistical hypothesis H, aligned with the objective probabilities expressed by H? After showing that standard replies are not satisfactory, I develop a suppositional analysis of conditional degree of belief, transferring Ramsey’s classical proposal to statistical inference. The analysis saves the alignment, explains the role of chance-credence coordination, and rebuts the charge of arbitrary assessment of evidence in Bayesian inference. Finally, I explore the implications of this analysis for Bayesian (...) reasoning with idealized models in science. (shrink)

In ‘The Human Condition’ Hannah Arendt presents a picture of what it is to be human based on the activities that we humans undertake. She distinguishes three forms of activity fundamental to our lives –labor, work and action. In her view the western intellectual tradition hasfailed to take proper account of the distinctions between the three activities. She considers that this way of categorising human actions is important to understanding the way that modern life has developed and seeks to describe (...) each one as fully as possible. Labor refers to the actions required to meet the unceasing need to satisfy our bodily needs. Work includes all those activities by which physical products are produced. It is through work that man transforms raw materials into tools and creates the human world we live in. However it is the third type of activity –action which promises to shine a different light on both the way organisations make use of Information and Communications Technology and the role current research methods play in developing our understanding of the potential value to be obtained by organisations from this technology. This paper presents Arendt’s analysis of these three human activities and then explores the implications for business research methods –in particular those applied within the Information Systems discipline. (shrink)

An important field of probability logic is the investigation of inference rules that propagate point probabilities or, more generally, interval probabilities from premises to conclusions. Conditional probability logic (CPL) interprets the common sense expressions of the form “if . . . , then . . . ” by conditional probabilities and not by the probability of the material implication. An inference rule is probabilistically informative if the coherent probability interval of its conclusion is not necessarily equal to the unit interval (...) [0, 1]. Not all logically valid inference rules are probabilistically informative and vice versa. The relationship between logically valid and probabilistically informative inference rules is discussed and illustrated by examples such as the modus ponens or the affirming the consequent. We propose a method to evaluate the strength of CPL inference. (shrink)

What we pay attention to is influenced by both reward learning and aversive conditioning. Although early attention tends to be biased toward aversively conditioned stimuli, sustained ignoring of such stimuli is also possible. How aversive conditioning influences how a person chooses to search, or the strategic control of attention, has not been explored. In the present study, participants learned an association between a colour and an aversive outcome during a training phase, and in a subsequent test phase searched for one (...) of two targets presented on each trial; one target was rendered in the aversively conditioned colour (CS+) and the other in a neutral colour (CS-). Given the distribution of colour stimuli in the search array, it was more optimal to search for and report a target in one of the two colours on some trials. Our results demonstrate that participants were biased away from the CS+ target, which resulted in non-optimal search on some trials. Surprisingly, rather than accentuate this bias, greater state anxiety was associated with a stronger tendency to find and report the CS+ target. Our findings have implications for our understanding of the learning-dependent control of attention and abnormal attentional biases observed in high-anxious individuals. (shrink)

We investigated how people interpret conditionals and how stable their interpretation is over a long series of trials. Participants were shown the colored patterns on each side of a six-sided die, and were asked how sure they were that a conditional holds of the side landing upwards when the die is randomly thrown. Participants were presented with 71 trials consisting of all combinations of binary dimensions of shape (e.g., circles and squares) and color (e.g., blue and red) painted onto (...) the sides of each die. In two experiments (N1 = 66, N2 = 65), the conditional event was the dominant interpretation, followed by conjunction, and material conditional responses were negligible. In both experiments, the percentage of participants giving a conditional event response increased from around 40% at the beginning of the task to nearly 80% at the end, with most participants shifting from a conjunction interpretation. The shift was moderated by the order of shape and color in each conditional’s antecedent and consequent: participants were more likely to shift if the antecedent referred to a color. In Experiment 2 we collected response times: conditional event interpretations took longer to process than conjunction interpretations (mean difference 500 ms). We discuss implications of our results for mental models theory and probabilistic theories of reasoning. (shrink)