We prove a representation theorem for preference relations over countably infinite lotteries that satisfy a generalized form of the Independence axiom, without assuming Continuity. The representing space consists of lexicographically ordered transfinite sequences of bounded real numbers. This result is generalized to preference orders on abstract superconvex spaces.

We study the representation of sets of desirable gambles by sets of probability mass functions. Sets of desirable gambles are a very general uncertainty model, that may be non-Archimedean, and therefore not representable by a set of probability mass functions. Recently, Cozman (2018) has shown that imposing the additional requirement of even convexity on sets of desirable gambles guarantees that they are representable by a set of probability mass functions. Already more that 20 years earlier, Seidenfeld et al. (1995) (...) gave an axiomatisation of binary preferences—on horse lotteries, rather than on gambles—that also leads to a unique representation in terms of sets of probability mass functions. To reach this goal, they use two devices, which we will call ‘SSK–Archimedeanity’ and ‘SSK–extension’. In this paper, we will make the arguments of Seidenfeld et al. (1995) explicit in the language of gambles, and show how their ideas imply even convexity and allow for conservative reasoning with evenly convex sets of desirable gambles, by deriving an equivalence between the SSK–Archimedean natural extension, the SSK–extension, and the evenly convex natural extension. (shrink)

Non-Archimedean population axiologies – also known as lexical views – claim (i) that a sufficient number of lives at a very high positive welfare level would be better than any number of lives at a very low positive welfare level and/or (ii) that a sufficient number of lives at a very low negative welfare level would be worse than any number of lives at a very high negative welfare level. Such axiologies are popular because they can avoid the (Negative) (...) Repugnant Conclusion and satisfy the adequacy conditions given in the central impossibility result in population axiology due to Gustaf Arrhenius. I provide a novel argument against them which appeals to the way that good and bad lives can intuitively outweigh one another. (shrink)

The repugnant conclusion poses a conundrum in population ethics that has evaded satisfactory solution for four decades. In this article, I show that the repugnant conclusion can be avoided without sacrificing key moral intuitions. This is achieved using non-Archimedean orders, which admit the possibility of pairs of goods for which no amount of one is better than a single unit of the other. I show that with minimal assumptions, not only are such goods sensible, they are compulsory. I show (...) that utilitarianism and expected utility theory in their canonical forms are not in general suitable in this setting, and using these tools naively can lead to ethical errors that are arbitrarily serious. Multi-dimensional lexicographic expected utility representations may be required. I use fuzzy sets to show that there needn't be a clear boundary separating goods that are not Archimedean equivalent. This may be unavoidable due to intrinsic physical limits on the ability to discriminate between different goods arising from e.g. quantum mechanics. Limited discriminatory power can cause preferences to be non-transitive, which can resolve problems related to so-called `fanaticism' and `recklessness' wherein `rational' decision-makers counterintuitively prefer arbitrary long shot bets to a guaranteed lesser outcome. (shrink)

Functional analysis works with TVS (Topological Vector Spaces), classically over archimedean fields like
and .Canonical non-Archimedean functional analysis, where alternative but equally valid number systems such as p-adic numbers p etc. are fundamental, is a fast-growing discipline. This paper deals with TVS over non-classical non-Archimedean fields.

In 1980 F. Wattenberg constructed the Dedekind completion

d of the Robinson non-archimedean field

and established basic algebraic properties of

d [6]. In 1985 H. Gonshor established further fundamental properties of

d [7].In [4] important construction of summation of countable sequence of Wattenberg numbers was proposed and corresponding basic properties of such summation were considered. In this paper the important applications of the Dedekind completion

d in transcendental number theory were considered. We dealing using set theory ZFC
(
-model of (...) ZFC).Given an class of analytic functions of one complex variable f  

z, we investigate the arithmetic nature of the values of fz at transcendental points en, n  .Main results are: (i) the both numbers e
 and e   are irrational, (ii) number ee is transcendental. Nontrivial generalization of the Lindemann- Weierstrass theorem is obtained. (shrink)

According to standard rational choice theory, as commonly used in political science and economics, an agent's fundamental preferences are exogenously fixed, and any preference change over decision options is due to Bayesian information learning. Although elegant and parsimonious, such a model fails to account for preference change driven by experiences or psychological changes distinct from information learning. We develop a model of non-informational preference change. Alternatives are modelled as points in some multidimensional space, only some of whose dimensions play (...) a role in shaping the agentís preferences. Any change in these "motivationally salient" dimensions can change the agent's preferences. How it does so is described by a new representation theorem. Our model not only captures a wide range of frequently observed phenomena, but also generalizes some standard representations of preferences in political science and economics. (shrink)

After generalizing the Archimedean property of real numbers in such a way as to make it adaptable to non-numeric structures, we demonstrate that the real numbers cannot be used to accurately measure non-Archimedean structures. We argue that, since an agent with Artificial General Intelligence (AGI) should have no problem engaging in tasks that inherently involve non-Archimedean rewards, and since traditional reinforcement learning rewards are real numbers, therefore traditional reinforcement learning probably will not lead to AGI. We indicate (...) two possible ways traditional reinforcement learning could be altered to remove this roadblock. (shrink)

Metaethics is traditionally understood as a non-moral discipline that examines moral judgements from a standpoint outside of ethics. This orthodox understanding has recently come under pressure from anti-Archimedeans, such as Ronald Dworkin and Matthew Kramer, who proclaim that rather than assessing morality from an external perspective, metaethical theses are themselves substantive moral claims. In this paper, I scrutinise this anti-Archimedean challenge as applied to the metaethical position of expressivism. More precisely, I examine the claim that expressivists do not avoid (...) moral commitments when accounting for moral thought, but instead presuppose them; they do not look at ethics from the outside, but operate from within ethics. This paper defends the non-moral status of expressivism against anti-Archimedeanism by rejecting a new anti-Archimedean challenge which, on the basis of Hume’s Law, aims to exploit expressivist explanations of supervenience in order to show that expressivism is a substantive moral position. (shrink)

Philosophers working on time-biases assume that people are hedonically biased toward the future. A hedonically future-biased agent prefers pleasurable experiences to be future instead of past, and painful experiences to be past instead of future. Philosophers further predict that this bias is strong enough to apply to unequal payoffs: people often prefer less pleasurable future experiences to more pleasurable past ones, and more painful past experiences to less painful future ones. In addition, philosophers have predicted that future-bias is restricted to (...) first-person preferences, and that people’s third-person preferences are time-neutral. Philosophers disagree vigorously about the normative status of these preferences—i.e., they disagree about whether first-person future-bias is rationally permissible. Time-neutralists, for example, have appealed to the predicted asymmetry between first- and third-person preferences to argue for the rational impermissibility of future-bias. We empirically tested these predictions, and found that while people do prefer more past pain to less future pain, they do not prefer less future pleasure to more past pleasure. This was so in both first and third-person conditions. This suggests that future-bias is typically non-absolute, and is more easily outweighed in the case of positive events. We connect this result to the normative debate over future-bias. (shrink)

Lexical views in population axiology can avoid the Repugnant Conclusion without violating Transitivity or Separability. However, they imply a dilemma: either some good life is better than any number of slightly worse lives, or else the ‘at least as good as’ relation on populations is radically incomplete. In this paper, I argue that Archimedean views face an analogous dilemma. I thus conclude that the lexical dilemma gives us little reason to prefer Archimedean views. Even if we give up (...) on lexicality, problems of the same kind remain. (shrink)

Purpose: Despite the prevalent use of the golden ratio in the environment design for autistic users, there is no experimental research that explains their desired space ratio. This study aims to find the desired ratio in the learning environment, like an occupational therapy room for autistic users, while considering effective variables on their choices. Methodology: Based on McAllister's (2012) study, a scale model inspired by a dollhouse has been chosen to work and play with autistic children directly and find their (...) desired space ratio. Meanwhile, the furniture configuration and the access type in the environment could also define the ratio for interviewees. Accordingly, the scale model was designed with six different scale rooms containing three ratios and two spatial access types represented by the furniture arrangement. 50 autistic children of different ages, genders, and disorders in the moderate and medium spectrum have been randomly sampled. Then, they were asked to choose their desired ratio by playing with the scale model and putting the doll in their preferred room. This study also included 50 non-autistic children as a control group with different genders and defined ages. Result: After interviewing both groups, the chi-square test with Cramer's V calculation analyzed the result to find the statistically significant correlation between control variables, among which two independent variables had a statistically significant correlation with the chosen ratio for all the interviewees. First, being autistic significantly impacted their desired ratio choice as autistic children went for a ratio of 2:5, and no autistic ones had a high tendency toward the golden ratio (1:1.6). The chi-square test also showed that the access type in the scale model was the effective variable for both groups when choosing their desired ratio. Conclusion: The access type of the room with its furniture configuration impacted how users perceived the room's ratio, as well as being autistic or non-autistic users. (shrink)

I argue that taking the Practical Conditionals Thesis seriously demands a new understanding of the semantics of such conditionals. Practical Conditionals Thesis: A practical conditional [if A][ought] expresses B’s conditional preferability given A Paul Weirich has argued that the conditional utility of a state of affairs B on A is to be identified as the degree to which it is desired under indicative supposition that A. Similarly, exploiting the PCT, I will argue that the proper analysis of indicative practical conditionals (...) is in terms of what is planned, desired, or preferred, given suppositional changes to an agent’s information. Implementing such a conception of conditional preference in a semantic analysis of indicative practical conditionals turns out to be incompatible with any approach which treats the indicative conditional as expressing non-vacuous universal quantification over some domain of relevant antecedent-possibilities. Such analyses, I argue, encode a fundamental misunderstanding of what it is to be best, given some condition. The analysis that does the best vis-à-vis the PCT is, instead, one that blends a Context-Shifty account of indicative antecedents with an Expressivistic, or non-propositional, treatment of their practical consequents. (shrink)

The Action Theory of Exchanges is based on three main assumptions: i) an exchange is motivated by people having convergent preferences, ii) people exchange actions, and iii) offers and acceptances are crucial parts of an exchange and they bring about rights and obligations. The main aim of this paper is to discuss three aspects of this theory to better understand its ontological implications and, possibly, improve it. I first examine the expression “transferring the ownership” by showing an ontological issue (...) behind it; after that, I propose an interpretation that might solve this issue. I then show that convergent preferences are not enough to motivate an exchange; accordingly, one has to introduce two more preferences possessed by the agents. I finally propose a characterization of buying and selling (and buyer and seller) which, in addition to being compatible with the Action Theory of Exchanges, has the advantage of accounting for both monetary and non-monetary exchanges. (shrink)

Several studies have shown that preference is not necessarily synonymous with choice. In particular, the most preferred object from a set of objects presented in a non—choice context is not necessarily chosen when the same objects are options in a choice situation (Lichtenstein & Slovic, 1971, 1973; Tversky, Sattah, & Slovic, 1988) . Our research on the choice—preference discrepancy replicates these findings and thus bears some resemblance to the study by Tversky, Sattah, and Slovic (1988). Two competing explanations are tested.

Morally speaking, what should one do when one is morally uncertain? Call this the Moral Uncertainty Question. In this paper, I argue that a non-ideal moral theory provides the best answer to the Moral Uncertainty Question. I begin by arguing for a strong ought-implies-can principle---morally ought implies agentially can---and use that principle to clarify the structure of a compelling non-ideal moral theory. I then describe the ways in which one's moral uncertainty affects one's moral prescriptions: moral uncertainty constrains the set (...) of moral prescriptions one is subject to, and at the same time generates new non-ideal moral reasons for action. I end by surveying the problems that plague alternative answers to the Moral Uncertainty Question, and show that my preferred answer avoids most of those problems. (shrink)

According to a widely held view, rationality demands that the preferences of a person be transitive. The transitivity assumption is an axiom in standard theories of rational choice. It is also prima facie very plausible. I argue here that transitivity is not a necessary condition of rationality; it is a constraint only in some cases. The argument presented here is based on the non-linearity of differential utility functions. This paper has four parts. First, I present an argument against the (...) transitivity assumption (I, II). Second, I discuss some objections; this will also bring out some features of the view defended here, like the essentially comparative nature of choice (III). Then, I discuss certain proposals that promise to avoid my conclusion (IV). Finally, I go into some implications concerning the nature of rational decision making (V). To accept some intransitivities as rational does not make our life easier; it can even lead to hard choices. However, it does not lead to skepticism about rational choice. (shrink)

In a recent article [AJP, 2013], Saul Smilansky argues that our own existence is regrettable and that we should prefer not to have existed at all. I show why Smilansky's argument is fallacious, if we understand terms like ‘regrettable’ and ‘prefer’ in a straightforward non-deviant way.

Cet article se penche sur le rapport de la conception républicaine de la liberté comme non-domination défendue par P. Pettit avec la conception de la liberté comme capabilité proposée par A. Sen. L’usage que fait Pettit de la conception défendue par Sen lui permet d’avancer une conception plus réaliste des préférences des individus en contexte social. Cette définition des « préférences décisives » guide toute sa démonstration de la compatibilité de la liberté comme capabi- lité avec la théorie néorépublicaine. Elle (...) lui permet en outre de donner une valeur particulière à l’objectif social de lutte contre la précarité, précarité comprise comme situation dans laquelle un individu est placé sous la dépendance arbitraire d’un autre en l’empêchant de se mouvoir à sa guise dans le jeu social. Nous examinons les enjeux de cette articulation à la lumière de la réponse critique qui a été formulée par Sen à l’effet que la conception néorépublicaine limitait trop la pluralité sociale de la liberté. Enfin, nous esquissons une manière de réconcilier l’approche par les capabilités avec la conception républicaine. (shrink)

This article offers a novel solution to the problem of material constitution: by including non-concrete objects among the parts of material objects, we can avoid having a statue and its constituent piece of clay composed of all the same proper parts. Non-concrete objects—objects that aren’t concrete, but possibly are—have been used in defense of the claim that everything necessarily exists. But the account offered shows that non-concreta are independently useful in other domains as well. The resulting view falls under a (...) ‘nonmaterial partist’ class of views that includes, in particular, Laurie Paul’s and Kathrin Koslicki’s constitution views; ones where material objects have properties or structures as parts respectively. The article gives reasons for preferring the non-concretist solution over these other non-material partist views and defends it against objections. (shrink)

It is commonly held that retraction data, if they exist, show that assessment relativism is preferable to non-indexical contextualism. I argue that this is not the case. Whether retraction data have the suggested probative force depends on substantive questions about the proper treatment of tense and location. One’s preferred account in these domains should determine whether one accepts assessment relativism or non-indexical contextualism.

I find much to like in Craig Callender's [2022] arguments for the rational permissibility of non-exponential time discounting when these arguments are viewed in a conditional form: viz., if one thinks that time discounting is rationally permissible, as the social scientist does, then one should think that non-exponential time discounting is too. However, time neutralists believe that time discounting is rationally impermissible, and thus they take zero time discounting to be the normative standard. The time neutralist rejects time discounting because (...) they think it is rationally impermissible to prefer to live a worse life in expectation because of arbitrariness. Callender’s attack on the time-neutralist position is the following: the time-neutralist’s non-arbitrariness intuition assumes the existence of nonexistent ‘pure’ time preferences. In response, I aim to clarify the time-neutralist position and show that the non-arbitrariness argument does not rely on the existence of pure time preferences. Instead, the debate between time neutralism and permissivism about time discounting boils down to a methodological question: can we ever criticize the content of preferences? If so, we should embrace time neutralism. (shrink)

BACKGROUND Preconception sex selection for non-medical reasons is a controversial issue in bioethics. Little research has described preferences for preconception sex selection among Arab populations. This study describes the sex preference and interest in employing sex selection techniques among pregnant women in northern Jordan. -/- METHODS A self-reported questionnaire was administered to 600 pregnant women in Irbid, Jordan. χ2 test and binary logistic regression were used to examine the factors associated with interest in preconception sex selection. -/- RESULTS In (...) general, the interest in using sex selection was low. Women who preferred boys were more likely to be interested in sex selection, if paid for by the couple [odds ratio (OR) = 4.40, 95% confidence interval (CI): 1.75–11.11] or by health insurance (OR = 3.42, 95% CI: 1.94–6.06), or, if feasible, administered through oral medication (OR = 8.84, 95% CI: 5.05–15.63). Women with lower education were more likely to be interested in sex selection, if paid by health insurance (OR = 1.96, 95% CI: 1.10–3.45) and were more likely to believe that sex selection is legal (OR = 1.79, 95% CI: 1.06–2.86). Women who had no boys were more likely to be interested in sex selection, if paid by health insurance (OR = 1.94, 95% CI: 1.10–3.42) or, if feasible, through medication (OR = 3.03, 95% CI: 1.82–5.00). -/- CONCLUSIONS The majority of participants were not in favor of using preconception sex selection. Those with a preference to have boys, with lower education, and those with an imbalanced family were more likely to be interested in using sex selection technology. (shrink)

It has widely been assumed, by philosophers, that our first-person preferences regarding pleasurable and painful experiences exhibit a bias toward the future (positive and negative hedonic future-bias), and that our preferences regarding non-hedonic events (both positive and negative) exhibit no such bias (non-hedonic time-neutrality). Further, it has been assumed that our third-person preferences are always time-neutral. Some have attempted to use these (presumed) differential patterns of future-bias—different across kinds of events and perspectives—to argue for the irrationality of (...) hedonic future-bias. This paper experimentally tests these descriptive hypotheses. While as predicted we found first-person hedonic future-bias, we did not find that participants were time-neutral in all other conditions. Hence, the presumed asymmetry of hedonic/non-hedonic and first/third-person preferences cannot be used to argue for the irrationality of future-bias, since no such asymmetries exist. Instead, we develop a more fine-grained approach, according to which three factors—positive/negative valence, first/third-person, and hedonic/non-hedonic—each independently influence, but do not determine, whether an event is treated in a future-biased or time-neutral way. We discuss the upshots of these results for the debate over the rationality of future-bias. (shrink)

My dissertation is about Bayesian rationality for non-ideal agents. I show how to derive subjective probabilities from preferences using much weaker rationality assumptions than other standard representation theorems. I argue that non-ideal agents might be uncertain about how they will update on new information and consider two consequences of this uncertainty: such agents should sometimes reject free information and make choices which, taken together, yield sure loss. The upshot is that Bayesian rationality for non-ideal agents makes very different normative (...) demands than ideal Bayesian rationality. (shrink)

Orthodox decision theory gives no advice to agents who hold two goods to be incommensurate in value because such agents will have incomplete preferences. According to standard treatments, rationality requires complete preferences, so such agents are irrational. Experience shows, however, that incomplete preferences are ubiquitous in ordinary life. In this paper, we aim to do two things: (1) show that there is a good case for revising decision theory so as to allow it to apply non-vacuously to (...) agents with incomplete preferences, and (2) to identify one substantive criterion that any such non-standard decision theory must obey. Our criterion, Competitiveness, is a weaker version of a dominance principle. Despite its modesty, Competitiveness is incompatible with prospectism, a recently developed decision theory for agents with incomplete preferences. We spend the final part of the paper showing why Competitiveness should be retained, and prospectism rejected. (shrink)

Some early phase clinical studies of candidate HIV cure and remission interventions appear to have adverse medical risk–benefit ratios for participants. Why, then, do people participate? And is it ethically permissible to allow them to participate? Recent work in decision theory sheds light on both of these questions, by casting doubt on the idea that rational individuals prefer choices that maximise expected utility, and therefore by casting doubt on the idea that researchers have an ethical obligation not to enrol participants (...) in studies with high risk–benefit ratios. This work supports the view that researchers should instead defer to the considered preferences of the participants themselves. This essay briefly explains this recent work, and then explores its application to these two questions in more detail. (shrink)

Even among those who find lethal defense against non-responsible threats, innocent aggressors, or justified aggressors justified even in one to one cases, there is a debate as to what the best explanation of this permissibility is. The contenders in this debate are the liability account, which holds that the non-responsible or justified human targets of the defensive measures are liable to attack, and the justified infringement account, which claims that the targets retain their right not to be attacked but may (...) be attacked anyway, even in one to one situations. Given that we normally think that rights are trumps, this latter claim is counter-intuitive and rather surprising, and therefore in need of justification and explanation. So far only Jonathan Quong has actually tried to provide an explanation; however, I will argue that his explanation fails and that Quong’s own account of liability is misguided. I then address Helen Frowe’s critique of the liability account. She makes the important concession that the tactical bomber has to compensate his victims, but she tries to block the conclusion that he must therefore be liable. I will demonstrate that her attempt to explain away liability fails once that concession is made. (shrink)

Laws of nature have various roles in scientific practice. It is widely agreed that an adequate theory of lawhood ought to align with the roles that scientists assign to the laws. But philosophers disagree over whether Humean laws or non-Humean laws are better at filling these roles. In this paper, I provide an argument for settling this dispute. I consider possible situations in which scientists receive conclusive evidence that—according to the non-Humean—falsifies their beliefs about the laws, but which—according to the (...) Humean—does not falsify their beliefs about the laws. I argue that, in these possible scenarios, all law-related aspects of scientific practice would remain unchanged. In other words, scientists would treat the regularities “preferred” by the Humean as the laws of nature. On this basis, I conclude that non-Humean laws fail to align with scientific practice. (shrink)

The philosophy of mathematics has been accused of paying insufficient attention to mathematical practice: one way to cope with the problem, the one we will follow in this paper on extensive magnitudes, is to combine the `history of ideas' and the `philosophy of models' in a logical and epistemological perspective. The history of ideas allows the reconstruction of the theory of extensive magnitudes as a theory of ordered algebraic structures; the philosophy of models allows an investigation into the way epistemology (...) might affect relevant mathematical notions. The article takes two historical examples as a starting point for the investigation of the role of numerical models in the construction of a system of non-Archimedean magnitudes. A brief exposition of the theories developed by Giuseppe Veronese and by Rodolfo Bettazzi at the end of the 19th century will throw new light on the role played by magnitudes and numbers in the development of the concept of a non-Archimedean order. Different ways of introducing non-Archimedean models will be compared and the influence of epistemological models will be evaluated. Particular attention will be devoted to the comparison between the models that oriented Veronese's and Bettazzi's works and the mathematical theories they developed, but also to the analysis of the way epistemological beliefs affected the concepts of continuity and measurement. (shrink)

In a recent paper published in this journal, Giubilini, Douglas and Savulescu argue that we have given insufficient weight to the moral importance of fairness in our account of the best policies for non-medical exemptions to childhood immunization requirements. They advocate for a type of policy they call Contribution, according to which parents must contribute to important public health goods before their children can receive NMEs to immunization requirements. In this response, we argue that Giubilini, Douglas and Savulescu give insufficient (...) weight to the moral importance parental liberty in ways that count against their preferred type of NMEs policy and threaten public support for mandatory vaccination laws and public health initiatives generally. (shrink)

Policy-makers sometimes aim to improve well-being as a policy goal, but to do this they need some way to measure well-being. Instead of relying on potentially problematic theories of well-being to justify their choice of well-being measure, Daniel Hausman proposes that policy-makers can sometimes rely on preference-based measures as evidence for well-being. I claim that Hausman’s evidential account does not justify the use of any one measure more than it justifies the use of any other measure. This leaves us at (...) a loss as to which policy should be chosen in the non-trivial cases for which there is substantial disagreement between the different measures in their assessment of policy. (shrink)

A rather promising value theory for environmental philosophers combines the well-known fitting attitude (FA) account of value with the rather less well-known account of value as richness. If the value of an entity is proportional to its degree of richness (which has been cashed out in terms of unified complexity and organic unity), then since natural entities, such as species or ecosystems, exhibit varying degrees of richness quite independently of what we happen to feel about them, they also possess differing (...) degrees of mind-independent and subject-independent value. In particular, their value is not dependent on the desires or preferences of humans. The fitting attitudes account of value, at least as it is standardly developed, demands isomorphic evaluative responses on the part of all valuers. In particular, it entails that all valuers should have isomorphic preferences. But this seems absurd. I consider three different strategies with which the fitting attitude theorist can deflect this challenge. The first makes use of an account of non-standard value relations in terms of permissible preference orderings. The second appeals to value appearances and the associated notions of value distance and value perspective. The third involves an account of the ultimate bearers of value as properties, rather than as propositions or states of affairs. These strategies are not all mutually incompatible. While it isn’t possible to combine the first and second strategies, it is possible to combine the first and third strategies, and also to combine the second and the third. (shrink)

Evolution and geometry generate complexity in similar ways. Evolution drives natural selection while geometry may capture the logic of this selection and express it visually, in terms of specific generic properties representing some kind of advantage. Geometry is ideally suited for expressing the logic of evolutionary selection for symmetry, which is found in the shape curves of vein systems and other natural objects such as leaves, cell membranes, or tunnel systems built by ants. The topology and geometry of symmetry is (...) controlled by numerical parameters, which act in analogy with a biological organism’s DNA. The introductory part of this paper reviews findings from experiments illustrating the critical role of two-dimensional (2D) design parameters, affine geometry and shape symmetry for visual or tactile shape sensation and perception-based decision making in populations of experts and non-experts. It will be shown that 2D fractal symmetry, referred to herein as the “symmetry of things in a thing”, results from principles very similar to those of affine projection. Results from experiments on aesthetic and visual preference judgments in response to 2D fractal trees with varying degrees of asymmetry are presented. In a first experiment (psychophysical scaling procedure), non-expert observers had to rate (on a scale from 0 to 10) the perceived beauty of a random series of 2D fractal trees with varying degrees of fractal symmetry. In a second experiment (two-alternative forced choice procedure), they had to express their preference for one of two shapes from the series. The shape pairs were presented successively in random order. Results show that the smallest possible fractal deviation from “symmetry of things in a thing” significantly reduces the perceived attractiveness of such shapes. The potential of future studies where different levels of complexity of fractal patterns are weighed against different degrees of symmetry is pointed out in the conclusion. (shrink)

Until recently, philosophers debating the rationality of time-biases have supposed that people exhibit a first-person hedonic bias toward the future, but that their non-hedonic and third-person preferences are time-neutral. Recent empirical work, however, suggests that our preferences are more nuanced. First, there is evidence that our third-person preferences exhibit time-neutrality only when the individual with respect to whom we have preferences—the preference target—is a random stranger about whom we know nothing; given access to some information about (...) the preference target, third-person preferences mirror first-person preferences. As a result, the simulation hypothesis has been proposed, according to which third-person preferences will mirror first-person preferences when we can simulate the mental states of the preference target. Second, there is evidence that we prefer negative hedonic events to be in our past (we are first-person negatively hedonically future-biased) only when we view future events as fixed and in no way under our control. By contrast, when we perceive it to be within our power to mitigate the badness of future events, we are first-person negatively hedonically past-biased. This is the mitigation hypothesis. We distinguish two versions of the mitigation hypothesis, the squirrelling version and the heuristic version. We ran a study which tested the simulation hypothesis, and which aimed to determine whether the squirrelling or the heuristic version of the mitigation hypothesis enjoys more empirical support. We found support for the heuristic version of the hypothesis, but no support for the squirrelling version. (shrink)

Comment pouvons-nous analyser des relations de valeur non standards, comme la parité axiologique, en termes d’attitudes appropriées? Wlodek Rabinowicz suggère que deux choses sont à parité si et seulement si il est à la fois permissible de préférer l’une à l’autre et permissible d’avoir la préférence contraire. Dans un article récent, Johan Gustafsson soutient toutefois que l’analyse de Rabinowicz viole un principe de symétrie entre valeurs et préférences, selon lequel il existe pour toute relation de valeur une relation de préférence (...) correspondante (et vice-versa). À la lumière de ce principe, Gustafsson propose une analyse alternative, selon laquelle deux choses sont à parité si et seulement si il est requis d’entretenir ces choses en parité préférentielle. Dans cet article, j’examine en détail les arguments avancés par Gustafsson contre l’analyse de Rabinowicz et je montre qu’aucun d’eux n’est convaincant. (shrink)

Impairments in pragmatic abilities, that is, difficulties with appropriate use and interpretation of language – in particular, non-literal uses of language – are considered a hallmark of Autism Spectrum Conditions (ASC). Despite considerable research attention, these pragmatic difficulties are poorly understood. In this paper, we discuss and evaluate existing hypotheses regarding the literalism of ASC individuals, that is, their tendency for literal interpretations of non-literal communicative intentions, and link them to accounts of pragmatic development in neurotypical children. We present evidence (...) that reveals a developmental stage at which neurotypical children also have a tendency for literal interpretations and provide a possible explanation for such behaviour, one that links it to other behavioural, rule-following, patterns typical of that age. We then discuss extant evidence that shows that strict adherence to rules is also a widespread feature in ASC, and suggest that literalism might be linked to such rule-following behaviour. (shrink)

When explaining human actions, people usually focus on a small subset of potential causes. What leads us to prefer certain explanations for valenced actions over others? The present studies indicate that our moral attitudes often predict our explanatory preferences far better than our beliefs about how causally sensitive actions are to features of the actor's environment. Study 1 found that high-prejudice participants were much more likely to endorse non-agential explanations of an erotic same-sex encounter, such as that one of (...) the men endured a stressful event earlier that day. Study 2 manipulated participants' beliefs about how the agent's behavior depended on features of his environment, finding that such beliefs played no clear role in modeling participants' explanatory preferences. This result emerged both with low- and high-prejudice, US and Indian participants, suggesting that these findings probably reflect a species-typical feature of human psychology. Study 3 found that moral attitudes also predicted explanations for a woman's decision to abort her pregnancy (3a) and a person's decision to convert to Islam (3b). Study 4 found that luck in an action's etiology tends to undermine perceptions of blame more readily than perceptions of praise. Finally, Study 5 found that when explaining support for a rival ideology, both Liberals and Conservatives downplay agential causes while emphasizing environmental ones. Taken together, these studies indicate that our explanatory preferences often reflect a powerful tendency to represent agents as possessing virtuous true selves. Consequently, situation-focused explanations often appear salient because people resist attributing negatively valenced actions to the true self. There is a person/situation distinction, but it is normative. (shrink)

This chapter focuses on the psychological mechanisms behind the construction of preference, especially the actual processes used by humans when they make decisions in their everyday lives or in business situations. The chapter uses cognitive psychological techniques to break down these processes and set them in their social context. When attributes are compatible with the response scale, they are assigned greater weight because they are most easily mapped onto the response. For instance, when subjects are asked to set a price (...) for a gamble this task is compatible with the information about the gamble payoff, which is also expressed in monetary values (e.g., dollars). Conversely, when the task requires a choice the payoff information is not easily mapped onto the response anymore and loses some of its salience. In fact, Slovic, Griffin, and Tversky (1990) could show that using non-monetary outcomes attenuates preference reversals when no compatibility between the pricing task and the outcome attribute was possible. An assumption of the compatibility effect is that response modes compatible with specific characteristics of the options (e.g., payoffs) draw attention to them. One of the main themes that has emerged from behavioral decision research during the past decades is the view that people's preferences are often constructed—not merely revealed—in the process of elicitation (see e.g. Slovic). This conception is derived in part from studies demonstrating that normatively equivalent methods of elicitation often give rise to systematically different responses. These "preference reversals" violate the principle of procedure invariance fundamental to theories of rational choice and raise difficult questions about the nature of human values. If different elicitation procedures produce different orderings of options, how can preferences be defined and in what sense do they exist? Describing and explaining such failures of invariance will require choice models of far greater complexity than the traditional models -/- . (shrink)

In a paper recently published in this journal, Navin and Largent argue in favour of a type of policy to regulate non-medical exemptions from childhood vaccination which they call ‘Inconvenience’. This policy makes it burdensome for parents to obtain an exemption to child vaccination, for example, by requiring parents to attend immunization education sessions and to complete an application form to receive a waiver. Navin and Largent argue that this policy is preferable to ‘Eliminationism’, i.e. to policies that do not (...) allow non-medical exemptions, because Inconvenience has been shown to maintain exemption rates low while not harming parents by forcing them to do something that goes against their beliefs. We argue that it is at least doubtful that Inconvenience is ethically preferable to Eliminationism: while the latter disregards the value of liberty, Inconvenience disregards the value of fairness in the distribution of the burdens entailed by the preservation of a public good like herd immunity. We propose a variant of Inconvenience, which we call ‘Contribution’, which we think is preferable to the versions of Inconvenience discussed by Navin and Largent in that it successfully strikes a balance between the values of parents’ liberty, fairness and expected utility. (shrink)

This paper empirically investigates whether people’s implicit decision theory is more like causal decision theory or more like a non-causal decision theory (such as evidential decision theory). We also aim to determine whether implicit causalists, without prompting and without prior education, make a distinction that is crucial to causal decision theorists: preferring something _as a news item_ and preferring it _as an object of choice_. Finally, we investigate whether differences in people’s implicit decision theory correlate with differences in their level (...) of _future bias_: the preference for positively valenced events to be located in the future and not the past, and negatively valenced events to be located in the past and not the future. We find that people are overwhelmingly non-causalists. We also find that implicit causalists _do not_ make the distinction between news items and objects of choice, and that there is little to no correlation between people’s future bias and their implicit decision theory. We end by discussing the philosophical upshots of this work. (shrink)

This thesis provides an account of acquaintance with abstract objects. The notion of acquaintance is integral to theorising on reference and singular thought, since it is generally taken to be the relation that must exist between a subject and an object, in order for the subject to refer to, and entertain singular thoughts about the object. The most common way of understanding acquaintance is as a form of causal connection. However, this implies a problem. We seem to be able to (...) refer and have singular thoughts about abstract objects. But given that abstract objects are causally inert, this would mean that we are unable to become acquainted with them. This problem shall be the focus of this thesis. I first argue that these traditional causal interpretations of acquaintance are lacking. Instead, I show that acquaintance is dependent to some degree on factors internal to the subject, namely the skills that they possess. From doctors to sommeliers to mathematicians (and possibly even philosophers!) – these subjects seem to succeed in becoming acquainted with certain objects precisely in virtue of their respective skills. Thus, building off from Evans’ The Varieties of Reference, I present a novel account of acquaintance, which I term as Skill-based Acquaintance (SBA). On SBA, a subject is said to be acquainted with an object when they possess discriminating knowledge of that object, gained through the use of their capacities and skills. The SBA account is applied to virtual (Ch.3), fictional (Ch.4), and mathematical objects (Ch.5), as well as God (Ch.6). SBA is successful in explaining how subjects can indeed become acquainted with these problematic categories of objects - some of which are abstract – thus being able to refer and entertain singular thoughts about them. Overall, then, SBA is shown to have greater explanatory power than competing accounts and should thus be preferred. (shrink)

Religious disagreement – the existence of inconsistent religious views – is familiar and widespread. Among the most fundamental issues of such disagreement is whether to characterise the divine as personal or non-personal. On most other religious issues, the diverse views seem to presuppose some view on the personal/non-personal issue. In this essay, I address a particular question arising from disagreement over this issue. Let an exclusivist belief be a belief that a doctrine d on an issue is true, and that (...) doctrines on the issue that differ from d are false. Assume that for at least some people, there is no epistemic reason to prefer any one exclusivist view on the personal/non-personal question. This might be because disagreements act as defeaters for disputants’ beliefs, or because someone comes at the question without already holding a belief on the matter, and finds each view equally plausible. In these circumstances, is it still possible to engage with particular traditions in a realist, truth-seeking way? I answer that it is, arguing for a new pluralist approach to the personal/non-personal issue. By ‘pluralist’, I mean an approach that reinterprets a doctrine d on a given issue to be consistent with doctrines on the issue that differ from d. I start with probably the best-known pluralist account of religion, that of John Hick. After presenting his account I identify a problem that it faces which any pluralist account must address, one that has clear relevance to the personal/non-personal question. I then draw on Thomas Merton to outline an alternative pluralist route, illustrating how such an approach can apply to Christian and Buddhist ideas of an ultimate spiritual goal. The personal/non-personal issue is a good test for the approach I develop: because of the issue’s fundamentality, if the approach succeeds here then the prospects look bright for applying it to other topics of religious disagreement. (shrink)

BACKGROUND: -/- Preconception sex selection for non-medical reasons raises serious moral, legal and social issues. The main concern is based on the assumption that a freely available service for sex selection will distort the natural sex ratio and lead to a severe gender imbalance. However, for a severe gender imbalance to happen, at least two conditions have to be met. First, there must be a significant preference for children of a particular sex, and second, there must be a considerable demand (...) for preconception sex selection. To ascertain whether or not these two conditions are met, we have conducted a survey in Germany. METHODS: -/- As a representative sample of the German population, 1094 men and women aged 18-45 years were asked about their gender preferences and whether or not they could imagine selecting the sex of their children through flow cytometric separation of X- and Y-bearing sperm followed by intrauterine insemination. RESULTS: -/- 58% of respondents stated that they do not care about the sex of their offspring. 30% wish to have a family with an equal number of boys and girls. 4% would like to have more boys than girls, 3% more girls than boys, 1% only boys and 1% only girls. For first-borns, however, there is still a preference for boys over girls. While 75.6% claimed to have no gender preference, 14.2% would like their first child to be a boy and 10.1% would like their first child to be a girl. Whereas 6% could imagine taking advantage of preconception sex selection, 92% found this to be out of the question. Even in the hypothetical case that a medication for sex selection were ever to become available, 90% stated that they would not want to use it. CONCLUSION: -/- Given that a majority does not seem to care about the sex of their offspring and only a minority seem to be willing to select the sex of their children, a freely available service for preconception sex selection for non-medical reasons is rather unlikely to cause a severe gender imbalance in Germany. (shrink)

Elementary preservice teachers (EPTs) substantially impact the quality of mathematics education, and their subject preference and problem-solving performance are essential indicators of their readiness to teach. The study described EPTs’ subject preference and problem-solving performance. Through a sequential explanatory research design, the quantitative inquiry involved 125 random samples, while the qualitative inquiry was participated by 30 non-random samples. Data were obtained by using an online survey and conferencing. Quantitative data were analyzed through descriptive statistics and analysis of variance, whereas qualitative (...) data were themed accordingly. The EPTs displayed unsatisfactory problem-solving performance and preferred to handle subjects other than math. Besides, the analysis found no significant performance differences with the EPTs’ subject preferences. Further, the EPTs who preferred to teach mathematics expressed their confidence in mathematics. Meanwhile, the EPTs who preferred other subjects displayed math avoidance. The study revealed an alarming result indicating that the EPTs are unprepared for teaching. As agents in cultivating the nation’s mathematics education status, these EPTs must be equipped with fundamental content knowledge. It is suggested that educational decision-makers take measures to address the issues identified concerning EPTs’ readiness to teach mathematics successfully. (shrink)

Inventing novel knowledge to solve problems is a crucial, creative, mechanism employed by humans, to extend their range of action. In this paper, we present TCL (typicality-based compositional logic): a probabilistic, non monotonic extension of standard Description Logics of typicality, and will show how this framework is able to endow artificial systems of a human-like, commonsense based, concept composition procedure that allows its employment in a number of applications (ranging from computational creativity to goal-based reasoning to recommender systems and affective (...) computing). -/- The framework relies on 3 main ingredients: a non monotonic extension of standard Description Logics (allowing to reason on exceptions to inheritance in standard knowledge bases) a probabilistic extension coming from the field of logic programming (the DISPONTE semantics) a cognitive heuristics known ad HEAD-Modifier determining preference rules for the inheritance mechanisms of the novel concepts to be generated via commonsense rules. -/- We report the obtained results and the lessons learned of this research path in the context of model-based AI applications. -/- . (shrink)

The Growing Block Theory of time says that the metaphysical openness of the future should be understood in terms of there not being any future objects or events. But in a series of works, Ross Cameron, Elizabeth Barnes, and Robbie Williams have developed a competing view that understands metaphysical openness in terms of it being indeterminate whether there exist future objects or events. I argue that the three reasons they give for preferring their account are not compelling. And since the (...) notion of “indeterminate existence” suffers conceptual problems, the Growing Block is the preferable view. (shrink)

The central question in meta-ethics, and arguably all of ethics, is the question of what moral statements refer to. Several candidates have been proposed, including Platonic objects, natural objects, commands, and personal preferences. The answer, I suggest, is that it is none of these. Rather, morality is a framework. We see this by looking at common moral terms: ‘right’ and ‘wrong’, ‘justice’, ‘guilt’, ‘responsibility’, ‘blame’, and ‘rights’. These terms all have something in common: they are legal terms. Since morality (...) dates to prehistoric times, it’s easy to see where this could have come from: prehistoric societies observed nature acting in a ‘court-like’ way – for example punishing them for overhunting – and inferred that this was a larger version of their own tribunal processes. Thus, we can define morality as an anthropomorphic framework based on the analogy of a human court, applied to human behaviour and its relation to nature. The framework persisted through human religious history, with various gods being the lawmaker and judge. This presents a problem: human society has worked hard to eliminate non-natural objects from our model of the world, replacing them with natural descriptions. Assuming we don’t really believe nature is a giant court, the question is how we replace morality with a natural description. (shrink)

Primarily using philosophy, but also some social science, Escape from Leviathan (EfL) explains and defends what it calls an extreme version of the implicit ‘classical liberal compatibility thesis’: liberty, welfare, and anarchy are overwhelmingly complementary in normal practice (rationality is added for its intimate theoretical connections to these categories). This is done using theories, not definitions, of each concept. This important thesis is entirely positive. Therefore, somewhat unusually, all normative issues are avoided as irrelevant distractions in this context. In addition, (...) the epistemology used is also unorthodox. A justificationist, or foundationalist, approach would be literally illogical: the self-refuting trilemma faced by ‘supporting justifications’ (as regards arguments and evidence) is of entailing infinite regresses, dogmatic starting points, or circularities. Consequently, critical rationalism is assumed: conjecture and criticism are all that is possible. Thus all aspects of the conjectured thesis are explained and defended from criticism as thoroughly as the book can encompass. It is concluded that the thesis has not been refuted and so may be critically preferred. (However, this could all still be viewed as a ‘justification’ by those thus inclined.) All of this is made clear enough in the short introductory chapter and repeated where relevant throughout. Yet some reviews do not have a firm grasp of the specific project and so reject it with unsound criticisms. We now turn to one such example. (shrink)

Should objects count as necessarily having certain properties, despite their not having those properties when they do not exist? For example, should a cat that passes out of existence, and so no longer is a cat, nonetheless count as necessarily being a cat? In this essay I examine different ways of adapting Aldo Bressan’s MLν so that it can accommodate an affirmative answer to these questions. Anil Gupta, in The Logic of Common Nouns, creates a number of languages that have (...) a kinship with Bressan’s MLν , three of which are also tailored to affirmatively answering these questions. After comparing their languages, I argue that metaphysicians and philosophers of language should prefer MLν to Gupta’s languages in most applications because it can accommodate essential properties, like being a cat, while being more uniform and less cumbersome. (shrink)