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result(s) for
"Impossibility"
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Entropic Measure of Epistemic Uncertainties in Multibody System Models by Axiomatic Design
In this paper, the use of the MaxInf Principle in real optimization problems is investigated for engineering applications, where the current design solution is actually an engineering approximation. In industrial manufacturing, multibody system simulations can be used to develop new machines and mechanisms by using virtual prototyping, where an axiomatic design can be employed to analyze the independence of elements and the complexity of connections forming a general mechanical system. In the classic theories of Fisher and Wiener-Shannon, the idea of information is a measure of only probabilistic and repetitive events. However, this idea is broader than the probability alone field. Thus, the Wiener-Shannon’s axioms can be extended to non-probabilistic events and it is possible to introduce a theory of information for non-repetitive events as a measure of the reliability of data for complex mechanical systems. To this end, one can devise engineering solutions consistent with the values of the design constraints analyzing the complexity of the relation matrix and using the idea of information in the metric space. The final solution gives the entropic measure of epistemic uncertainties which can be used in multibody system models, analyzed with an axiomatic design.
Journal Article
What’s Impossible about Algorithmic Fairness?
The now well-known impossibility results of algorithmic fairness demonstrate that an error-prone predictive model cannot simultaneously satisfy two plausible conditions for group fairness apart from exceptional circumstances where groups exhibit equal base rates. The results sparked, and continue to shape, lively debates surrounding algorithmic fairness conditions and the very possibility of building fair predictive models. This article, first, highlights three underlying points of disagreement in these debates, which have led to diverging assessments of the feasibility of fairness in prediction-based decision-making. Second, the article explores whether and in what sense fairness as defined by the conjunction of the implicated fairness conditions is (un)attainable. Drawing on philosophical literature on the concept of feasibility and the role of feasibility in normative theory, I outline a cautiously optimistic argument for the diachronic feasibility of fairness. In line with recent works on the topic, I argue that fairness can be made possible through collective efforts to eliminate inequalities that feed into local decision-making procedures.
Journal Article
The theory of judgment aggregation: an introductory review
This paper provides an introductory review of the theory of judgment aggregation. It introduces the paradoxes of majority voting that originally motivated the field, explains several key results on the impossibility of propositionwise judgment aggregation, presents a pedagogical proof of one of those results, discusses escape routes from the impossibility and relates judgment aggregation to some other salient aggregation problems, such as preference aggregation, abstract aggregation and probability aggregation. The present illustrative rather than exhaustive review is intended to give readers who are new to the field of judgment aggregation a sense of this rapidly growing research area.
Journal Article
Descripción de la derrota: fenomenología de la esclavitud
La tesis central de este artículo es que la esclavitud es fenomenológicamente descriptible como reducción del esfuerzo a fuerza física, a través de la imposición de la imposibilidad, como fuente de reconocimiento del sí mismo en la derrota. El esclavo se reconoce desde la negación de lo posible para sí en el mundo. Expongo esta tesis en tres momentos principales, en la primera parte desarrollo el concepto de esfuerzo, con base en los análisis husserlianos de la constitución, expuestos en IdeasII. En el segundo apartado expongo el modo en que el esfuerzo, como concreción de una voluntad egoica-encarnada, es reducido a fuerza física –productiva– mediante la alienación de las posibilidades del ‘yo-puedo’. El correlato de este modo de consti-tución del cuerpo propio, en la enajenación de su poder, de lo posible para sí, es un horizonte que se presenta para el yo en el modo de la clausura o la imposibilidad, desde la que yo se reconoce como derrotado, tema que trato en el último y tercer apartado. La descripción de la derrota pone de manifiesto la condición de la voluntad corporal como límite resistente ante la esclavitud.
Journal Article
On the incompatibility of accuracy and equal opportunity
One of the main concerns about fairness in machine learning (ML) is that, in order to achieve it, one may have to trade off some accuracy. To overcome this issue, Hardt et al. (Adv Neural Inf Process Syst 29, 2016) proposed the notion of equality of opportunity (EO), which is compatible with maximal accuracy when the target label is deterministic with respect to the input features. In the probabilistic case, however, the issue is more complicated: It has been shown that under differential privacy constraints, there are data sources for which EO can only be achieved at the total detriment of accuracy, in the sense that a classifier that satisfies EO cannot be more accurate than a trivial (i.e., constant) classifier. In this paper, we strengthen this result by removing the privacy constraint. Namely, we show that for certain data sources, the most accurate classifier that satisfies EO is a trivial classifier. Furthermore, we study the admissible trade-offs between accuracy and EO loss (opportunity difference) and characterize the conditions on the data source under which EO and non-trivial accuracy are compatible.
Journal Article
A balanced view of impossible aesthetics: An empirical investigation of how impossibility relates to our enjoyment of magic tricks
The performance art of magic allows us to experience the impossible, and this study used a balancing magic trick to investigate the relationship between participants’ enjoyment and perceived impossibility. Participants watched a live performance of a magic trick in which the magician balanced objects in progressively more impossible configurations. At seven different time points observers rated their enjoyment, and the extent to which they believed what they saw was impossible. Regression analysis revealed that participants’ enjoyment of the magical effect relates to their perceived impossibility of the magic trick, and this relationship was independent of how much they enjoyed magic in general. Moreover, a one-way within-subjects analysis of variance showed that participants enjoyed the performance More as the trick became more impossible. However, once the magical effect was anticipated, enjoyment began to plateau while perceived impossibility continued to increase. These results are discussed in the context of people's aesthetic appreciation of magic and current arts appreciation models.
Journal Article
How people think about the truth of hypothetical impossibilities
People can think about hypothetical impossibilities and a curious observation is that some impossible conditionals seem true and others do not. Four experiments test the proposal that people think about impossibilities just as they do possibilities, by attempting to construct a consistent simulation of the impossible conjecture with its suggested outcome, informed by their knowledge of the real world. The results show that participants judge some impossible conditionals true with one outcome, for example, “
if people were made of steel, they would not bruise easily
” and false with the opposite outcome,
“if people were made of steel they would bruise easily
”, and others false with either outcome, for example, “
if houses were made of spaghetti, their engines would (not) be noisy
”. However, they can sometimes judge impossible conditionals true with either outcome, for example, “
if Plato were identical to Socrates, he would (not) have a small nose
”, or
“if sheep and wolves were alike, they would (not) eat grass”
. The results were observed for judgments about what
could be
true (Experiments
1
and
4
), judgments of degrees of truth (Experiment
2
), and judgments of what
is
true (Experiment
3
). The results rule out the idea that people evaluate the truth of a hypothetical impossibility by relying on cognitive processes that compare the probability of each conditional to its counterpart with the opposite outcome.
Journal Article
A Formal Theory of Democratic Deliberation
Inspired by impossibility theorems of social choice theory, many democratic theorists have argued that aggregative forms of democracy cannot lend full democratic justification for the collective decisions reached. Hence, democratic theorists have turned their attention to deliberative democracy, according to which “outcomes are democratically legitimate if and only if they could be the object of a free and reasoned agreement among equals” (Cohen 1997a, 73). However, relatively little work has been done to offer a formal theory of democratic deliberation. This article helps fill that gap by offering a formal theory of three different modes of democratic deliberation: myopic discussion, constructive discussion, and debate. We show that myopic discussion suffers from indeterminacy of long run outcomes, while constructive discussion and debate are conclusive. Finally, unlike the other two modes of deliberation, debate is path independent and converges to a unique compromise position, irrespective of the initial status quo.
Journal Article