Weakly Aggregative Modal Logic (WAML) is a collection of disguised polyadic modal logics with n-ary modalities whose arguments are all the same. WAML has some interesting applications on epistemic logic and logic of games, so we study some basic model theoretical aspects of WAML in this paper. Specifically, we give a van Benthem-Rosen characterization theorem of WAML based on an intuitive notion of bisimulation and show that each basic WAML system Kn lacks Craig Interpolation.

Weakly Aggregative Modal Logic ) is a collection of disguised polyadic modal logics with n-ary modalities whose arguments are all the same. \ has interesting applications on epistemic logic, deontic logic, and the logic of belief. In this paper, we study some basic model theoretical aspects of \. Specifically, we first give a van Benthem–Rosen characterization theorem of \ based on an intuitive notion of bisimulation. Then, in contrast to many well known normal or non-normal modal logics, we show that (...) each basic \ system \ lacks Craig interpolation. Finally, by model theoretical techniques, we show that an extension of \ does have Craig interpolation, as an example of amending the interpolation problem of \. (shrink)

This paper connects the following three apparently unrelated topics: an epistemic framework fighting logical omniscience, a class of generalized graphs without the arities of relations, and a family of non-normal modal logics rejecting the aggregative axiom. Through neighborhood frames as their meeting point, we show that, among many completeness results obtained in this paper, the limit of a family of weakly aggregative logics is both exactly the modal logic of hypergraphs and also the epistemic logic of local reasoning with veracity (...) and positive introspection. The logics studied are shown to be decidable based on a filtration construction. (shrink)

Discussions of risk have assumed that risk must be modeled the same in all cases. This is a mistake. Normally, if people know that those affected by an agent’s choice have conflicting interests, th...

This paper connects the following four topics: a class of generalized graphs whose relations do not have fixed arities called hypergraphs, a family of non-normal modal logics rejecting the aggregative axiom, an epistemic framework fighting logical omniscience, and the classical group knowledge modality of ‘someone knows’. Through neighborhood frames as their meeting point, we show that, among many completeness results obtained in this paper, the limit of a family of weakly aggregative logics is both exactly the modal logic of hypergraphs (...) and also the epistemic logic of local reasoning with veracity and positive introspection, and upon adding a single combinatorial axiom, it is also the logic of ‘someone knows’ for a fixed finite number of positively introspective agents. At the core of all these completeness results is a new canonical neighborhood model construction for monotone modal logics that is capable of dealing with all these diverse cases. We also provide an axiomatization for the logic of all non-n-colorable hypergraphs based on a filtration argument that also shows the decidability of the logics of hypergraphs we study. (shrink)

This paper extends David Lewis' result that all first degree modal logics are complete to weakly aggregative modal logic by providing a filtration-theoretic version of the canonical model construction of Apostoli and Brown. The completeness and decidability of all first-degree weakly aggregative modal logics is obtained, with Lewis's result for Kripkean logics recovered in the case k = 1.

In recent years, judgement aggregation has emerged as an important area of social choice theory. Judgement aggregation is concerned with aggregating sets of individual judgements over logically connected propositions into a set of collective judgements. It has been shown that even seemingly weak conditions on the aggregation function make it impossible to find functions that produce rational collective judgements from all possible rational individual judgements. This implies that the step from individual judgements to collective judgements requires (...) trade-offs between different desiderata, such as universal domain, rationality, epistemological quality, and unbiasedness. These dilemmas challenge us to decide which conditions we should relax. The typical application for judgement aggregation is the problem of group decision making. Juries and expert committees are the stock examples. However, the relevance of judgement aggregation goes beyond these cases. In this survey I review some core results in the field of judgement aggregation and social epistemology and discuss their implications for the analysis of distributed thinking. (shrink)

This paper articulates the structure of a two species of weakly aggregative necessity in a common idiom, neighbourhood semantics, using the notion of a k-filter of propositions. A k-filter on a non-empty set I is a collection of subsets of I which contains I, is closed under supersets on I, and contains ∪{Xi ≤ Xj : 0 ≤ i < j ≤ k} whenever it contains the subsets X0,…, Xk. The mathematical content of the proof that weakly aggregative modal logic (...) is complete relative to k-ary frame theory, the standard semantic idiom for weakly aggregative modal logic is presented in language-independent terms as a representation theorem for k-filters: every non-trivial k-filter is included in the union of ≤ k non-trivial filters. The elementary theory of k-filters is developed and then applied in the form of an ultrafilter extension result for k-ary frame theory. (shrink)

This work contributes to the theory of judgement aggregation by discussing a number of significant non-classical logics. After adapting the standard framework of judgement aggregation to cope with non-classical logics, we discuss in particular results for the case of Intuitionistic Logic, the Lambek calculus, Linear Logic and Relevant Logics. The motivation for studying judgement aggregation in non-classical logics is that they offer a number of modelling choices to represent agents’ reasoning in aggregation problems. By studying judgement (...) aggregation in logics that are weaker than classical logic, we investigate whether some well-known impossibility results, that were tailored for classical logic, still apply to those weak systems. (shrink)

This paper examines the aggregation of preferences with a finitely additive measure space of agents. We consider three types of non-dictatorship axioms: non-dictatorship, coalitional non-dictatorship, and atomic non-dictatorship. First, we show that the existence of an atom is a necessary and sufficient condition for the existence of a social welfare function that satisfies weak Pareto, independence of irrelevant alternatives, and coalitional non-dictatorship. Second, we simultaneously impose non-dictatorship and coalitional non-dictatorship, and specify a necessary and sufficient condition for the (...) finitely additive measure that guarantees the compatibility among the axioms. Third, we impose all non-dictatorship axioms and show that the corresponding measure is extremely restricted. (shrink)

The problem of how to rationally aggregate probability measures occurs in particular when a group of agents, each holding probabilistic beliefs, needs to rationalise a collective decision on the basis of a single ‘aggregate belief system’ and when an individual whose belief system is compatible with several probability measures wishes to evaluate her options on the basis of a single aggregate prior via classical expected utility theory. We investigate this problem by first recalling some negative results from preference and judgment (...) aggregation theory which show that the aggregate of several probability measures should not be conceived as the probability measure induced by the aggregate of the corresponding expected utility preferences. We describe how McConway’s :410–414, 1981) theory of probabilistic opinion pooling can be generalised to cover the case of the aggregation of infinite profiles of finitely additive probability measures, too; we prove the existence of aggregation functionals satisfying responsiveness axioms à la McConway plus additional desiderata even for infinite electorates. On the basis of the theory of propositional-attitude aggregation, we argue that this is the most natural aggregation theory for probability measures. Our aggregation functionals for the case of infinite electorates are neither oligarchic nor integral-based and satisfy a weak anonymity condition. The delicate set-theoretic status of integral-based aggregation functionals for infinite electorates is discussed. (shrink)

This paper generalizes rationalizability of a choice function by a single acyclic binary relation to rationalizability by a set of such relations. Rather than selecting those options in a menu that are maximal with respect to a single binary relation, a weakly pseudo-rationalizable choice function selects those options that are maximal with respect to at least one binary relation in a given set. I characterize the class of weakly pseudo-rationalizable choice functions in terms of simple functional properties. This result also (...) generalizes Aizerman and Malishevski's characterization of pseudo-rationalizable choice functions, that is, choice functions rationalizable by a set of total orders. (shrink)

The Ostrogorski paradox and the discursive dilemma are seemingly unrelated paradoxes of aggregation. The former is discussed in traditional social choice theory, while the latter is at the core of the new literature on judgment aggregation. Both paradoxes arise when, in a group, each individual consistently makes a judgment, or expresses a preference, (in the form of yes or no) over specific propositions, and the collective outcome is in some respect inconsistent. While the result is logically inconsistent in (...) the case of the discursive paradox, it is not stable with respect to the level of aggregation in the case of the Ostrogorski paradox. In the following I argue that, despite these differences, the two problems have a similar structure. My conclusion will be twofold: on the one hand, the similarities between the paradoxes support the claim that these problems should be tackled using the same aggregation procedure; on the other hand, applying the same procedure to these paradoxes will help clarify the strengths and weaknesses of the aggregation method itself. More specifically, I will show that an operator defined in artificial intelligence to merge belief bases can deal with both paradoxes. (shrink)

This paper is concerned with an aggregation of individual preferences. We introduce the concept of weak independent decisiveness, which is a weakening of Sen’s independent decisiveness. We show that a Paretian social welfare function satisfies weak independent decisiveness if and only if the family of weakly decisive sets forms an ultrafilter.

This paper provides variants of Arrow’s impossibility theorem, which states that there exists no non-dictatorial aggregation rule satisfying weak Pareto, independence of irrelevant alternatives and collective rationality. In this paper, independence of irrelevant alternatives and collective rationality are simultaneously relaxed. Weak independence is imposed instead of independence of irrelevant alternatives. Social preferences are assumed to satisfy the semi-order properties of semi-transitivity and the interval-order property. We prove that there exists a vetoer when the number of alternatives is (...) greater than or equal to six. (shrink)

Sometimes we ought to aggregate lesser harms to many such that they outweigh greater harms to a few, and sometimes we ought not to. This seems self-evident, but it has proven surprisingly difficult to construct a coherent moral theory out of this basic observation. In particular, it is difficult to explain (in a principled way) when we ought to aggregate. Relevance views attempt to solve this problem by arguing that sufficiently lesser harms are irrelevant to greater harms and thus should (...) not be taken into consideration. My thesis develops and defends a new relevance view. The first half of the thesis focuses on when lesser harms can aggregate and outweigh stronger harms. I start by solving a ‘fatal’ dilemma for all relevance views. I show that one horn of the dilemma is fatal but avoidable, whilst the other is unavoidable but not fatal, and that the dilemma rests on a faulty assumption of weak-additivity. I then develop a new relevance view based around the principle that we ought to balance harms by similarity (i.e., we ought to balance greater harms against similarly great harms and lesser harms against other lesser harms) before deciding whether lesser harms are relevant to greater harms. The second half focuses on when lesser harms can aggregate and tiebreak between stronger harms. First, I show that relevance views cannot capture our intuition that sufficiently lesser harms should not tiebreak between greater harms, without forfeiting our intuitions in other important cases. Secondly, I demonstrate that relevance views are sometimes inappropriately insensitive to the number of harms in tiebreaking cases. To solve these problems, I distinguish between two types of relevance, and I introduce Broomean fairness into my account. Doing so allows my view to capture all our intuitions about when lesser harms can tiebreak between stronger harms. (shrink)

In this paper I investigate the possibility of a dictatorship in the context of Harsanyi's Social Aggregation Theorem. Preliminarily, some propositions about Harsanyi's Theorem are presented using an alternative principle that I name Quasi-strong Pareto, which is the latter part of Strong Pareto. Then I define dictatorship as a requirement that social preference agrees with a dictator's preference or those of members of dictatorial group even if their preferences strictly contradict those of all other people in the society. Conclusively, (...) although in each version of Harsanyi's Theorem with Pareto Indifference, Weak Preference Pareto or Weak Pareto the social utility function may have a form of dictatorship, however if individuals' vNM utility functions are all 'individualistic' and Quasi-strong Pareto is satisfied, then the dictatorship is excluded. (shrink)

I discuss the trilemma that consists of the following three principles being inconsistent: 1. The Common Principle: if one distribution, A, necessarily brings a higher total sum of personal value that is distributed in a more egalitarian way than another distribution, B, A is more valuable than B. 2. (Weak) ex-ante Pareto: if one uncertain distribution, A, is more valuable than another uncertain distribution, B, for each patient, A is more valuable than B. 3. Pluralism about attitudes to risk (...) (Pluralism): the personal value of a prospect is a weighted sum of the values of the prospect’s outcomes, but the weight each outcome gets might be different from the probability the prospect assigns to the outcome. (shrink)

The demandingness of act consequentialism is well-known and has received much sophisticated treatment.1 Few have been content to defend AC’s demands. Much of the response has been to jettison AC in favor of a similar, though significantly less demanding view.2 The popularity of this response is easy to understand. Excessive demandingness appears to be a strong mark against any moral theory. And if excessive demandingness is a worry of this kind, AC’s goose appears cooked: attempts to show that AC is (...) not particularly demanding are implausible at best. Given that AC requires agents to promote goodness, and given that “goodness” here is most often construed as impartial and aggregative between persons, were I in a position to save others from death by sacrificing myself, I am morally required, on. (shrink)

In this paper, we develop a 3D-individual-based model to understand effect of various small-scale mechanisms in phytoplankton cells, on the cellular aggregation process. These mechanisms are: spatial interactions between cells due to their chemosensory abilities, a molecular diffusion and a demographical process. The latter is considered as a branching process with a density-dependent death rate to take into account the local competition on resources. We implement the IBM and simulate various scenarios under real parameter values for phytoplankton cells. To (...) quantify the effects of the different processes quoted above on the spatial and temporal distribution of phytoplankton, we used two spatial statistics: the Clark–Evans index and the group belonging percentage. Our simulation study highlights the role of the branching process with a weak-to-medium competition in reinforcing the aggregating structure that forms from attraction mechanisms, and shows by contrast that aggregations cannot form when competition is high. (shrink)

Social dilemmas occur when individuals make choices that are in their own best interest but not in the interest of society as a whole. Intrapersonal dilemmas occur when people make choices that are in the best interest of themselves at the moment of choice, but not in the best interest of themselves in the long run. A number of writers have observed that we can usefully model this self-defeating behavior by treating each individual as an aggregate of selves which have (...) competing interests, like the individual selves in a population. We undertake to synthesize and extend these contributions, applying the theory of intrapersonal dilemmas to addiction and procrastination, and discuss how the concept of multiple selves can explain why people attempt to control their behavior by imposing costs or constraints on themselves in the future, and how it can also help us develop new strategies of (personal) behavior control. (shrink)

The Relevance View, exemplified by Alex Voorhoeve's Aggregate Relevant Claims, has considerable appeal. It accommodates our reluctance to aggregate weak claims in canonical cases like Life for Headaches, while permitting aggregation of claims in a range of other cases. But it has been the target of significant criticism. In an important recent paper, Patrick Tomlin argues that the view suffers from failures of internal logic, violating plausible consistency constraints and generating incoherent combinations of verdicts on cases. And in (...) cases resembling real-world healthcare allocation problems, Tomlin argues that the view offers no guidance at all. In response, I argue that the internal logic of the Relevance View is sound, and the view's core principles, suitably clarified, support a significant extension of the view beyond the simple cases to which it is typically applied. (shrink)

Suppose that A and B are two kinds of goods such that more of each is better than less. A is strongly superior to B if any amount of A is better than any amount of B. It is weakly superior to B if some amount of A is better than any amount of B. There are many examples of these relations in the literature, sometimes under the labels “higher goods” and “discontinuity.” The chapter gives a precise and generalized statement (...) of Strong and Weak Superiority and discusses different ways in which these relations can be relevant to the aggregation of welfare. It also proves a number of general results. One of the results gives rise to a dilemma: It can be used as an argument against the existence of value superiority or, alternatively, as an argument against the view that superiority entails a radical difference in value. (shrink)

Niels Bohr’s model of the hydrogen atom is widely cited as an example of an inconsistent scientific theory because of its reliance on classical electrodynamics together with assumptions about interactions between matter and electromagnetic radiation that could not be reconciled with CED. This view of Bohr’s model is controversial, but we believe a recently proposed approach to reasoning with inconsistent commitments offers a promising formal reading of how Bohr’s model worked. In this paper we present this new way of reasoning (...) with inconsistent commitments and compare it with other approaches before applying it to Bohr’s model and offering some suggestions for how it might be extended to account for subsequent developments in old quantum theory. (shrink)

Interactions between an intelligent software agent and a human user are ubiquitous in everyday situations such as access to information, entertainment, and purchases. In such interactions, the ISA mediates the user’s access to the content, or controls some other aspect of the user experience, and is not designed to be neutral about outcomes of user choices. Like human users, ISAs are driven by goals, make autonomous decisions, and can learn from experience. Using ideas from bounded rationality, we frame these interactions (...) as instances of an ISA whose reward depends on actions performed by the user. Such agents benefit by steering the user’s behaviour towards outcomes that maximise the ISA’s utility, which may or may not be aligned with that of the user. Video games, news recommendation aggregation engines, and fitness trackers can all be instances of this general case. Our analysis facilitates distinguishing various subcases of interaction, as well as second-order effects that might include the possibility for adaptive interfaces to induce behavioural addiction, and/or change in user belief. We present these types of interaction within a conceptual framework, and review current examples of persuasive technologies and the issues that arise from their use. We argue that the nature of the feedback commonly used by learning agents to update their models and subsequent decisions could steer the behaviour of human users away from what benefits them, and in a direction that can undermine autonomy and cause further disparity between actions and goals as exemplified by addictive and compulsive behaviour. We discuss some of the ethical, social and legal implications of this technology and argue that it can sometimes exploit and reinforce weaknesses in human beings. (shrink)

Utilitarianism could still be a viable moral and political theory, although an emphasis on justice as distributing burdens and benefits has hidden this from current conversations. The traditional counterexamples prove that we have good grounds for rejecting classical, aggregative forms of consequentialism. A nonaggregative, liberal form of utilitarianism is immune to this rejection. The cost is that it cannot adjudicate when the basic needs of individuals or groups are in conflict. Cases like this must be solved by other methods. This (...) is not a weakness in liberal utilitarianism, on the contrary. The theory clarifies what we should admit to begin with: that ethical doctrines do not have universally acceptable solutions to all difficult problems or hard cases. The theory also reminds us that not all problems are in this sense difficult or cases hard. We could alleviate the plight of nonhuman animals by reducing meat eating. We could mitigate climate change and its detrimental effects by choosing better ways of living. These would imply that most people’s desire satisfaction would be partly frustrated, but liberal utilitarianism holds that this would be justified by the satisfaction of the basic needs of other people and nonhuman animals. (shrink)

Many think that it would be wrong to defend an individual from attack if he competently and explicitly refuses defensive intervention. In this paper, I consider the extent to which the preferences of victims affect the permissibility of defending groups or aggregates. These cases are interesting and difficult because there is no straightforward sense in which a group can univocally consent to or refuse defensive intervention in the same way that an individual can. Among those who have considered this question, (...) the dominant view is that that consent imposes only an extremely weak constraint on defending groups. I argue that this is mistaken and defend a much more robust requirement. Indeed, on the account that I develop there are cases in which the refusal of a single member of a victim is enough to make it impermissible to defend a much larger group. At the heart of my account is the idea that consent functions as an internal component of the broader requirement that defensive harms be proportionate: if a victim validly refuses defensive intervention, the fact that defence will benefit him cannot be used to justify harming innocents as the lesser-evil. An important implication of this view is that what constitutes sufficient consent from the members of a victim group will vary on a case-by-case basis. (shrink)

A major approach to the ethics of artificial intelligence is to use social choice, in which the AI is designed to act according to the aggregate views of society. This is found in the AI ethics of “coherent extrapolated volition” and “bottom–up ethics”. This paper shows that the normative basis of AI social choice ethics is weak due to the fact that there is no one single aggregate ethical view of society. Instead, the design of social choice AI faces (...) three sets of decisions: standing, concerning whose ethics views are included; measurement, concerning how their views are identified; and aggregation, concerning how individual views are combined to a single view that will guide AI behavior. These decisions must be made up front in the initial AI design—designers cannot “let the AI figure it out”. Each set of decisions poses difficult ethical dilemmas with major consequences for AI behavior, with some decision options yielding pathological or even catastrophic results. Furthermore, non-social choice ethics face similar issues, such as whether to count future generations or the AI itself. These issues can be more important than the question of whether or not to use social choice ethics. Attention should focus on these issues, not on social choice. (shrink)

Ecological communities are seldom, if ever, biological individuals. They lack causal boundaries as the populations that constitute communities are not congruent and rarely have persistent functional roles regulating the communities’ higher-level properties. Instead we should represent ecological communities indexically, by identifying ecological communities via the network of weak causal interactions between populations that unfurl from a starting set of populations. This precisification of ecological communities helps identify how community properties remain invariant, and why they have robust characteristics. This respects (...) the diversity and aggregational nature of these complex systems while still vindicating them as units worthy of investigation. (shrink)

NRP is a family of views differing by how they understand “reduction” and “physicalism.” Following Kim I understand the non-reduction as holding that some events and properties are distinct from any physical events and properties. A necessary condition for physicalism is that mental properties, events, and laws supervene on physical ones. Kim allows various understandings of “supervenience” but I think that physicalism requires at least the claim that any minimal physical duplicate of the actual world is a duplicate simpliciter. Some (...) complications aside this means that true mental propositions, e.g. Jaegwon is thinking about sailing, are metaphysically entailed by true physical propositions. Kim says that supervenience is too weak to capture the root idea of physicalism that mental property instantiations depend on physical property instantiations so he adds that the mental depends on the physical. One way in which this dependance might be spelled out is that mental properties are higher order functional properties whose instantiations are realized by instantiations of physical properties. An event is an instantiation of a property by an individual and a time. A mental event is the instantiation of a mental property. Not every predicate expresses a genuine property. Kim further suggests that properties are individuated, at least partly, by nomological and causal relations. For physicalism to have content something must be said about the difficult issue of characterizing the physical. Kim’s view seems to be that the micro-physical properties of ideal physics are physical. He also counts as physical properties that are conjunctions and aggregates of micro-physical properties and higher level properties defined over lower-level physical properties.. Since these latter two classes of properties supervene on the micro-properties and laws there is no need to include them in the supervenience base. (shrink)

According to Heidegger's Being and Time, social relations are constitutive of the core features of human agency. On this view, which I call a ‘strong conception’ of sociality, the core features of human agency cannot obtain in an individual subject independently of social relations to others. I explain the strong conception of sociality captured by Heidegger's underdeveloped notion of ‘being-with’ by reconstructing Heidegger's critique of the ‘weak conception’ of sociality characteristic of Kant's theory of agency. According to a (...) class='Hi'>weak conception, sociality is a mere aggregation of individual subjects and the core features of human agency are built into each individual mind. The weak conception of sociality remains today widely taken for granted. I show that Christine Korsgaard, one of the most creative contemporary appropriators of Kant, operates with a weak conception of sociality and that this produces a problematic explanatory deficiency in her view: she is unable to explain the peculiar motivational efficacy of shared social norms. Heidegger's view is tailor made to explain this phenomenon. I end by sketching how Heidegger provides a social explanation of a major systematic concern animating Korsgaard, the concern with the importance of individual autonomy and answerability in human life. (shrink)

The theory stating that oxidative stress is at the root of several diseases is extremely popular. However, so far, no antioxidant is recommended or offered by healthcare systems neither approved as therapy by regulatory agencies that base their decisions on evidence-based medicine. This is simply because, so far, despite many preclinical and clinical studies indicating a beneficial effect of antioxidants in many disease conditions, randomised clinical trials have failed to provide the evidence of efficacy required for drug approval. In this (...) review, we discuss the levels of evidence required to claim causality in preclinical research on OS, the weakness of the oversimplification associated with OS theory of disease and the importance of the narrative in its popularity. Finally, from a more translational perspective, we discuss the reasons why antioxidants acting by scavenging reactive oxygen species might not only prevent their detrimental effects but also interfere with essential signalling roles. We propose that ROS have a complex metabolism and are generated by different enzymes at diverse sites and with different timing. Aggregating this plurality of systems in a single theory of disease may not be the best way to develop new drugs, and future research may need to focus on specific oxygen-toxifying pathways rather than on non-specific ROS scavengers. Finally, similarly to what is nowadays required for clinical trials, we recommend making unpublished data available in repositories, as this will allow big data approaches or meta-analyses without the blinders of the publication bias. (shrink)

The science of well-being studies an evaluative kind, well-being, which raises natural worries about the ability of empirical research to deliver. This paper argues that well-being research can provide important information about how people are doing without entangling itself very deeply in controversial normative claims. Most life satisfaction research, for instance, purports only to tell us how people see their lives going relative to what they care about ? something most people can agree is important, whatever their theory of well-being. (...) At the same time, such research can mislead if it does not in fact have the significance it seems to have. Life satisfaction measures in fact have this problem: life satisfaction attitudes have deep in-principle limitations in their ability to reflect the subjective quality of people's lives, for instance because they are only weakly constrained by the facts about how people see their lives going. You might, e.g., reasonably be satisfied with your life even if you think it's going badly for you. I propose largely replacing such measures with aggregate life evaluation measures, which dispense with both the global judgment and ?satisfaction? elements of life satisfaction. (shrink)

Children with developmental language disorder (DLD) served as a test case for determining the role of extant vocabulary knowledge, endogenous attention, and phonological working memory abilities in cross-situational word learning. First-graders (Mage = 7 years; 3 months), 44 with typical development (TD) and 28 with DLD, completed a cross-situational word-learning task comprised six cycles, followed by retention tests and independent assessments of attention, memory, and vocabulary. Children with DLD scored lower than those with TD on all measures of learning and (...) retention, a performance gap that emerged in the first cycle of the cross-situational protocol and that we attribute to weaknesses in initial encoding. Over cycles, children with DLD learned words at a similar rate as their TD peers but they were less flexible in their strategy use, demonstrating a propose-but-verify approach but never a statistical aggregation approach. Also, they drew upon different mechanisms to support their learning. Attention played a greater role for the children with DLD, whereas extant vocabulary size played a greater role for the children with TD. Children navigate the problem space of cross-situational learning via varied routes. This conclusion is offered as motivation for theorists to capture all learners, not just the most typical ones. (shrink)

There is growing regulatory pressure on firms worldwide to address the under-representation of women in senior positions. Regulators have taken a variety of approaches to the issue. We investigate a jurisdiction that has issued recommendations and disclosure requirements, rather than implementing quotas. Much of the rhetoric surrounding gender diversity centres on whether diversity has a financial impact. In this paper we take an aggregate (market-level) approach and compare the performance of portfolios of firms with gender diverse boards to those without. (...) We also investigate whether having multiple women on the board is linked to performance, and if there is a within-industry effect. Overall, we do not find evidence of an association between diversity and performance. We find some weak evidence of a negative correlation between having multiple women on the board and performance, but that in some industries diversity is positively correlated with performance. (shrink)

Arrow’s impossibility theorem states that if an aggregation rule satisfies unrestricted domain, weak Pareto, independence of irrelevant alternatives, and collective rationality, then there exists a dictator. Among others, Arrow’s postulate of collective rationality is controversial. We propose a new axiom for an aggregation rule, decisiveness coherence, which is weaker than collective rationality. It is shown that given the Arrovian axioms other than collective rationality, a dictatorship arises if and only if decisiveness coherence is satisfied. Moreover, we introduce (...) weak versions of decisive coherence and examine these implications. (shrink)

For the last thirty years or so, there has been a search underway for a theory that can accommodate our intuitions in regard to moral duties to future generations. The object of this search has proved surprisingly elusive. The classical moral theories in the literature all have perplexing implications in this area. Classical Utilitarianism, for instance, implies that it could be better to expand a population even if everyone in the resulting population would be much worse off than in the (...) original. The main problem has been to find an adequate population theory, that is, a theory about the moral value of states of affairs where the number of people, the quality of their lives, and their identities may vary. Since, arguably, any reasonable moral theory has to take these aspects of possible states of affairs into account when determining the normative status of actions, the study of population theory is of general import for moral theory. A number of theories have been proposed in the literature that purport to avoid counterintuitive implications such as the one mentioned above. The suggestions are diverse: introducing novel ways of aggregating welfare into a measure of value, revising the notion of a life worth living, questioning the way we can compare and measure welfare, counting people’s welfare differently depending on the temporal location or the modal features of their lives, and challenging the logic of axiological and normative concepts. We investigate the concepts and assumptions involved in these theories as well as their implications for population theory. In our discussion, we propose a number of intuitively appealing and logically weak adequacy conditions for an acceptable population theory. Finally, we consider whether it is possible to find a theory that satisfies all of these conditions. We prove that no such theory exists. (shrink)

Although epistasis is at the center of the Fisher-Wright debate, biologists not involved in the controversy are often unaware that there are actually two different formal definitions of epistasis. We compare concepts of genetic independence in the two theoretical traditions of evolutionary genetics, population genetics and quantitative genetics, and show how independence of gene action (represented by the multiplicative model of population genetics) can be different from the absence of gene interaction (represented by the linear additive model of quantitative genetics). (...) The two formulations converge with weak selection but not with strong selection or, for multiple loci, when the aggregated interaction terms are not negligible. As a result of the different formulations of gene interaction, the presence or absence of linkage disequilibrium,/D/, does not necessarily indicate the presence or absence of fitness epistasis. Indeed, linkage disequilibrium is generated in ‘additive’ models in quantitative genetics whenever two (or more) loci experience simultaneous selection. As a research strategy, it is often practical, for theoretical or experimental reasons, to minimize gene interaction by assuming independence of gene action in regard to fitness, or by assuming linear additive effects of multiple loci on a phenotype. However, minimizing the role of epistasis in theoretical investigations hinders our understanding of the origins of diversity and the evolution of complex phenotypes. (shrink)

NRP is a family of views differing by how they understand “reduction” and “physicalism.” Following Kim I understand the non-reduction as holding that some events and properties are distinct from any physical events and properties. A necessary condition for physicalism is that mental properties, events, and laws supervene on physical ones. Kim allows various understandings of “supervenience” but I think that physicalism requires at least the claim that any minimal physical duplicate of the actual world is a duplicate simpliciter. Some (...) complications aside this means that true mental propositions, e.g. Jaegwon is thinking about sailing, are metaphysically entailed by true physical propositions. Kim says that supervenience is too weak to capture the root idea of physicalism that mental property instantiations depend on physical property instantiations so he adds that the mental depends on the physical. One way in which this dependance might be spelled out is that mental properties are higher order functional properties whose instantiations are realized by instantiations of physical properties. An event is an instantiation of a property by an individual and a time. A mental event is the instantiation of a mental property. Not every predicate expresses a genuine property. Kim further suggests that properties are individuated, at least partly, by nomological and causal relations. For physicalism to have content something must be said about the difficult issue of characterizing the physical. Kim’s view seems to be that the micro-physical properties of ideal physics are physical. He also counts as physical properties that are conjunctions and aggregates of micro-physical properties and higher level properties defined over lower-level physical properties.. Since these latter two classes of properties supervene on the micro-properties and laws there is no need to include them in the supervenience base. (shrink)

ORCA.IT, a new online test of online research and comprehension was developed for the Italian population. A group of 183 students attending various types of upper secondary schools in Northern Italy were tested with the new tool and underwent further cognitive and neuropsychological assessment. The different school types involved in the study are representative of the school population in the Italian system, but can also be easily compared with the educational systems of other countries. The new test turned out to (...) have good psychometric properties after accurate item construction and final selection. In particular, Version 1 showed better characteristics than Version 2. Subsequently, comparison with one-way ANOVAs were performed to test whether differences exist between different school types, between groups with and without reading difficulties, and between males and females. Such differences are sometimes reported in the literature, but many remain controversial. Further, Pearson’s bivariate correlations were calculated to analyze associations between scores on the ORCA.IT and cognitive/neuropsychological variables. Finally, a stepwise regression analysis was performed on aggregated scores to identify the predictors of performance on each of the two versions, The test, especially in the most complete version (Version 1), appears to accurately and reliably capture students’ web searching abilities and online reading comprehension. The tool could highlight differences in online search and comprehension ability between students with and without reading difficulties, not penalizing overall performance but allowing very specific weaknesses to be pointed out. Further, it seems to be able to capture differences due to both educational pathways (different school types) and social attitudes (differences between males and females). Most interesting, it shows to be clearly resting on specific cognitive and neuropsychological abilities, including language, memory and attentional skills, which explain a large portion of the total variance. Offline text reading comprehension is a crucial predictor of online reading performance, while decoding ability is not. Prior knowledge also influences the results, as expected. The new tool turns out to be rather independent from previous internet experience and to measure more cognitively grounded processes related to information gathering, processing and communicating. (shrink)

In order to improve text reading ability, a human-computer interaction method based on artificial intelligence human-computer interaction is proposed. Firstly, the design of the AI human-computer interaction model is constructed, which includes the Stanford Question Answering Dataset and the designed baseline model. There are three components: the coding layer is based on a cyclic neural network, which aims to encode the problem and text into a hidden state; the interaction layer is used to integrate problems and text representation; the output (...) layer connects two independent soft Max layers after a fully connected layer, one is used to obtain the starting position of the answer in the text and the other is used to obtain the ending position. In the interaction layer of the model, this manuscript uses hierarchical attention and aggregation mechanism to improve text coding. The traditional model interaction layer has a simple structure, which leads to weak relevance between text and problems, and poor understanding ability of the model. Finally, the self-attention model is used to further enhance the feature representation of text. The experimental results show that the improved model in this manuscript is compared with the public AI human-computer interaction reading comprehension model. According to the data in the table, the accuracy of the model in this manuscript is better than that of the baseline model, in which the exact match value is increased by 1.4% and the F1 value is increased by 2.7%. However, compared with improvement point 2, the EM and F1 values of the model have decreased by 0.7%. It shows that the output layer has a certain impact on the effect of the model, and the improvement and optimization of the output layer can also improve the performance of the model. It is proved that AI human-computer interaction can effectively improve text reading ability. (shrink)

Deliberative or discursive models of democracy have recently enjoyed a revival in both political theory and policy practice. Against the picture of democracy as a procedure for aggregating and effectively meeting the given preference of individuals, deliberative theory offers a model of democracy as a forum through which judgements and preferences are formed and altered through reasoned dialogue between free and equal citizens. Much in the recent revival of deliberative democracy, especially that which comes through Habermas and Rawls, has Kantian (...) roots. Deliberative institutions are embodiments of the free public use of reason that Kant takes to define the enlightenment project. Within the Kantian model the public use of reason is incompatible with the use of rhetoric. While this paper rejects strong rhetorical criticisms of deliberative democracy which render all communication strategic, it argues that rhetorical studies of deliberation have highlighted features of deliberation which point to significant weaknesses in Kantian approaches to it. Two features are of particular importance: the role of testimony and judgements of credibility in deliberation; and the role of appeal to emotions in public discourse. Both from the Kantian perspective are potential sources of heteronomy. However, the appeal to testimony and emotion are features of public deliberation that cannot and should not be eliminated. For those committed to the enlightenment values that underlie the deliberative model of democracy the question is whether these rhetorical features of deliberation are incompatible with those values. The paper argues that they are compatible. It does so by defending an Aristotelian account of rhetoric in public deliberation which denies the Platonic contrast between reasoned discourse and rhetoric which the Kantian model inherits. (shrink)

We present a number of modal logics to reason about group norms. As a preliminary step, we discuss the ontological status of the group to which the norms are applied, by adapting the classification made by Christian List of collective attitudes into aggregated, common, and corporate attitudes. Accordingly, we shall introduce modality to capture aggregated, common, and corporate group norms. We investigate then the principles for reasoning about those types of modalities. Finally, we discuss the relationship between group norms and (...) types of collective responsibility. (shrink)

ALTHOUGH majority rule finds ready acceptance whenever groups make decisions, there are surprisingly few philosophically interesting arguments in support of it.1 Jeremy Waldron’s The Dignity of Legislation contains the most interesting recent defense of majority rule. Waldron combines his own argument from respect with May’s influential characterization of majority rule, tying both to a reinterpretation of a well-known passage from Locke’s Second Treatise (“the body moves into the direction determined by the majority of forces”). Despite its impressive resourcefulness, Waldron’s defense (...) is deficient, and one goal of this essay is to show how. Yet our main concern is not to criticize Waldron, but to demonstrate general deficiencies of arguments for majority rule and to suggest a strategy for a more adequate and more complete defense. Such arguments tend to have one of two weaknesses: Either they assume that collective decisionmaking is done in terms of ranking options and thus neglect both aggregation methods using more information than the relative standing of options in rankings (such as so-called positional methods) and rules that are not aggregation methods at all (such as fair-division procedures); or they also constitute arguments for other decision rules. In the first case, the argument is too narrow, in the second it is too broad. The narrowness problem is bigger than stated so far because arguments for majority rule tend to assume not only that decisions are made by ranking options, but also that only two options are to be ranked. Both problems arise for Waldron’s defense and leave it incomplete. Yet such incompleteness also characterizes the state of the art in arguing for majority rule. So in addition to.. (shrink)

The 2015 UK Supreme Court judgment in Montgomery v Lanarkshire reinforces the importance of informed consent to medical treatment. This paper suggests that Montgomery recognises the challenge faced by vulnerable individuals in choosing between treatment options and making decisions with appreciation of information about material risks. The judgment endorses a form of weak paternalism to safeguard such persons, which is not disrespectful of the aggregate principles of the Mental Capacity Act 2005. But ethical practice requires professionals to tread carefully (...) between weak and hard paternalism in the context of therapeutic interactions with vulnerable patients, while ensuring their awareness of material risks. (shrink)

That government agencies and public bodies can be liable for damages when they induce and then frustrate people’s legitimate expectations is an important and distinctive feature of administrative law in Europe. This article sets out to establish a set of moral principles and ideals that might justify this legal institution. The notion of security of expectations found in the work of utilitarian writers provides a starting point. Having examined the strengths and weaknesses of this approach, I then turn to consider (...) an alternative argument based on finding a solution to the problem of credible commitments. Finally, I look for suitable moral arguments in the liberal and Kantian political theorising of John Rawls. I argue that if we see the function of the rule of law as not merely to maximise aggregate utility and to make policymakers’ decisions seem credible but also to ensure Justice as Fairness for individuals, then this provides a more robust and satisfactory way to justify the liability of public bodies for legitimate expectations they induce and then frustrate. (shrink)

Chapter 5 is an essay on the methodology of equilibrium theory. In the course of examining recent controversies concerning lawlike claims and "assumptions" in economic theory, I reach a position similar to J. S. Mill's. Neo-classical economics is what Mill would call "a separate science." It follows a deductive method, since its basic laws supported by everyday experience. In its general equilibrium formulation, equilibrium theory possesses, however, no explanatory worth and very little explanatory importance, since its idealizations are not legitimate. (...) General equilibrium theory ought fundamentally to be regarded as an explanation of how economic equilibrium is possible. ;In conclusion I argue that Sraffa's contribution is a legitimate form of economic theorizing. Those methodological views, like Lionel Robbins', which would proscribe the sort of piecemeal theorizing Sraffa exemplifies, are, as methodological strictures, unjustified. In fact they involve an ideological distortion. Given the weaknesses in general equilibrium theory identified in Chapters 3 and 5, one has good reason to be eclectic. The Austrian theory, despite the Cambridge criticisms, may be useful in some investigations. A much more segmented economics built around Sraffa's work may have a great deal to teach us. Theories of capital, interest and exchange value currently are underdeveloped, unsupported, and subject to ideological influence. ;In Chapter 3 one special formulation of intertemporal general equilibrium theory is examined. I argue that general equilibrium theory may be taken as a theory of the rate of interest to which the Cambridge criticisms do not apply. Puzzles remain, however, concerning both the apparently lawlike claims and the unrealistic stipulations concerning background conditions that general equilibrium theory makes. ;In Chapter 4 Sraffa's system in The Production of Commodities by Means of Commodities is presented and tentatively assessed. I argue that it is consistent with equilibrium theory, but may be combined with other claims that are not consistent with equilibrium theory. What is puzzling but, I argue, methodologically legitimate in Sraffa's work is that he takes as givens factors like the composition of output, that are themselves subject to further economic analysis. Sraffa's work, when properly understood, can prove valuable to Marxian economists. ;Chapter 1 establishes a contrast between physical cost and marginal utility theories of exchange value and examines why issues concerning capital and interest are theoretically central to both theories. I point out that physical cost theories of value are not tenable. ;Chapter 2 is concerned with simplified aggregate capital theories, especially Wicksell's Austrian theory of capital, and with the Cambridge criticisms of such theories. The Cambridge criticisms show, I conclude, that aggregative capital theories make unwarranted economic claims. ;This dissertation examines from both an economic and a philosophical perspective controversies concerning the theory of capital and interest and the relationship of capital and interest to exchange value. The fundamentals of the neo-classical and neo-Ricardian approaches to economic theory are made explicit and compared. The neo-Ricardian approach is partially defended. (shrink)

James Griffin has considered a form of superiority in value that is weaker than lexical priority as a possible remedy to the Repugnant Conclusion. In this article, I demonstrate that, in a context where value is additive, this weaker form collapses into the stronger form of superiority. And in a context where value is non-additive, weak superiority does not amount to a radical value difference at all. These results are applied on one of Larry Temkin's cases against transitivity. I (...) demonstrate that Temkin appeals to two conflicting notions of aggregation. I then spell out the consequences of these results for different interpretations of Griffin's suggestion regarding population ethics. None of them comes out very successful, but perhaps they nevertheless retain some interest. (shrink)

This paper examines the ethical foundations of the Islamic financial industry which is strongly criticized for its similarity with conventional finance. In this paper, we argue that this criticism is based on the consequentialist reasoning. The deontological considerations are largely ignored when the focus is on aggregate returns and associated product features. We build an economic model which allows us to examine the implementation of deontological rules in the Islamic financial products along with examining their consequences. We show that the (...) market forces may cause the returns and the attributes of Islamic financial products to converge with conventional finance even though the industry may be adhering to the Islamic deontological rules. We build a model to show that there may exist ‘Epsilon States’ where the deontological rules are followed by the Islamic finance industry, but their impact is not significant. We argue that the source of these ‘Epsilon States’ could be either moral uncertainty or costly monitoring. The presence of these ‘Epsilon States’ enable Islamic financial institutions with weak ethical commitments to create financial products where the deontological rules are followed, but their impact remains insignificant. (shrink)