In the final edition of the Theory of Moral Sentiments (TMS), Smith recommends several literary authors—Racine and Voltaire, Richardson, Marivaux, and Riccoboni—as “much better instructors than Zeno, Chrysippus, or Epictetus,” specifically in their illustrations of relationships of love and friendship as well as the “private and domestic affections,” like “parental tenderness” and “filial piety” (III.3.13-4). Smith does not here explain how literature performs this instructive function, and his remarks on the function of literature are scattered across TMS and the Lectures (...) on Rhetoric and Belles Lettres. This chapter contributes to a growing body of scholarship on Smith and literature by focusing closely on this recommendation, elucidating the instructive potential of the early novel, and showing how well-suited the techniques of that form are to the goals and challenges of Smith’s sentimentalist moral philosophy. By examining shared themes and formal features of the novels of Samuel Richardson, Pierre Marivaux, and Marie-Jeanne Riccoboni, I show how a reader’s engagement with these novels helps to enable and train her skills as an impartial and sympathetic spectator. (shrink)

In this article we focus on three key precepts shared by Confucianism and the African ethic of Ubuntu: the central value of community, the desirability of ethical partiality, and the idea that we tend to become morally better as we grow older. For each of these broad similarities, there are key differences underlying them, and we discuss those as well as speculate about the reasons for them. Our aim is not to take sides, but we do suggest ways that Ubuntu (...) and Confucianism might have something to learn from each other and perhaps come closer. We hope that our preliminary reflections can inspire further debate and thinking on a theme – dialogues between long-standing and large-scale non-Western traditions – that is bound to increase in importance as non-Western societies play a greater role in the global system and as the search continues for a 'global ethic'. (shrink)

In this paper (a sequel to [4]) I put forward a "local" interpretation of mathematical concepts based on notions derived from category theory. The fundamental idea is to abandon the unique absolute universe of sets central to the orthodox set-theoretic account of the foundations of mathematics, replacing it by a plurality of local mathematical frameworks - elementary toposes - defined in category-theoretic terms.

There is currently little empirical information about attitudes towards cognitive enhancement - the use of pharmaceutical drugs to enhance normal brain functioning. It is claimed this behaviour most commonly occurs in students to aid studying. We undertook a qualitative assessment of attitudes towards cognitive enhancement by conducting 19 semi-structured interviews with Australian university students. Most students considered cognitive enhancement to be unacceptable, in part because they believed it to be unethical but there was a lack of consensus on whether it (...) was similar or different to steroid use in sport. There was support for awareness campaigns and monitoring of cognitive enhancement use of pharmaceutical drugs. An understanding of student attitudes towards cognitive enhancement is important in formulating future policy. (shrink)

The usual meaning of the word continuous is “unbroken” or “uninterrupted”: thus a continuous entity —a continuum—has no “gaps.” We commonly suppose that space and time are continuous, and certain philosophers have maintained that all natural processes occur continuously: witness, for example, Leibniz's famous apothegm natura non facit saltus—“nature makes no jump.” In mathematics the word is used in the same general sense, but has had to be furnished with increasingly precise definitions. So, for instance, in the later 18th century (...) continuity of a function was taken to mean that infinitesimal changes in the value of the argument induced infinitesimal changes in the value of the function. With the abandonment of infinitesimals in the 19th century this definition came to be replaced by one employing the more precise concept of limit. (shrink)

While the phenomenon of ‘moral distress’ has been of interest to the nursing community since Jameton first described it in 1984, moral distress is now understood to effect healthcare professionals...

Martin Heidegger is often credited as having offered one of the most thorough phenomenological investigations of the nature of boredom. In his 1929–1930 lecture course, The Fundamental Concepts of Metaphysics: World, Finitude, Solitude, he goes to great lengths to distinguish between three different types of boredom and to explicate their respective characters. Within the context of his discussion of one of these types of boredom, profound boredom [tiefe Langweile], Heidegger opposes much of the philosophical and literary tradition on boredom insofar (...) as he articulates how the experience of boredom can be existentially beneficial to us. In this chapter, we undertake a study of the nature of profound boredom with the aim of investigating its place within contemporary psychological and philosophical research on boredom. Although boredom used to be a neglected emotional experience, it is no more. Boredom’s causal antecedents, effects, experiential profile, and neurophysiological correlates have become topics of active study; as a consequence, a proliferation of claims and findings about boredom has ensued. Such a situation provides an opportunity to scrutinize Heidegger’s claims and to try to understand them both on their own terms and in light of our contemporary understanding of boredom. (shrink)

Early discussions of ?climate justice? have been dominated by economists rather than political philosophers. More recently, analytical liberal political philosophers have joined the debate. However, the philosophical discussion of climate justice remains in its early stages. This paper considers one promising approach based on human rights, which has been advocated recently by several theorists, including Simon Caney, Henry Shue and Tim Hayward. A basic argument supporting the claim that anthropogenic climate change violates human rights is presented. Four objections to this (...) argument are examined: the ?future persons? objection; the ?risk? objection; the ?collective causation? objection; and the ?demandingness? objection. This critical examination leads to a more detailed specification and defence of the claim that anthropogenic climate change violates human rights. (shrink)

Addiction is increasingly described as a “chronic and relapsing brain disease”. The potential impact of the brain disease model on the treatment of addiction or addicted individuals’ treatment behaviour remains uncertain. We conducted a qualitative study to examine: (i) the extent to which leading Australian addiction neuroscientists and clinicians accept the brain disease view of addiction; and (ii) their views on the likely impacts of this view on addicted individuals’ beliefs and behaviour. Thirty-one Australian addiction neuroscientists and clinicians (10 females (...) and 21 males; 16 with clinical experience and 15 with no clinical experience) took part in 1 h semi-structured interviews. Most addiction neuroscientists and clinicians did not uncritically support the use of brain disease model of addiction. Most were cautious about the potential for adverse impacts on individuals’ recovery and motivation to enter treatment. While some recognised the possibility that the brain disease model of addiction may provide a rationale for addicted persons to seek treatment and motivate behaviour change, Australian addiction neuroscientist and clinicians do not assume that messages about “diseased brains” will always lead to increased treatment-seeking and reduced drug use. Research is needed on how neuroscience research could be used in ways that optimise positive outcomes for addicted persons. (shrink)

Hermann Weyl, one of the twentieth century's greatest mathematicians, was unusual in possessing acute literary and philosophical sensibilities—sensibilities to which he gave full expression in his writings. In this paper I use quotations from these writings to provide a sketch of Weyl's philosophical orientation, following which I attempt to elucidate his views on the mathematical continuum, bringing out the central role he assigned to intuition.

This paper considers whether the promotion of an environmental ethic in schools is compatible with the political liberal's commitment to ‘neutrality’. A new account of the implications of John Rawls's political liberalism for the ‘basic structure’ of education is developed. The prima facie incompatibility of political liberalism and the promotion of an environmental ethic is misleading. Rawls's political liberalism requires—as a matter of intergenerational justice—the promotion of the ‘sustainability virtues’. Moreover, it permits the promotion of ‘greener’ ideals.

The Survey of Organizational Research Climate (SORC) is a validated tool to facilitate promotion of research integrity and research best practices. This work uses the SORC to assess shared and individual perceptions of the research climate in universities and academic departments and relate these perceptions to desirable and undesirable research practices. An anonymous web- and mail-based survey was administered to randomly selected biomedical and social science faculty and postdoctoral fellows in the United States. Respondents reported their perceptions of the research (...) climates at their universities and primary departments, and the frequency with which they engaged in desirable and undesirable research practices. More positive individual perceptions of the research climate in one’s university or department were associated with higher likelihoods of desirable, and lower likelihoods of undesirable, research practices. Shared perceptions of the research climate tended to be similarly predictive of both desirable and undesirable research practices as individuals’ deviations from these shared perceptions. Study results supported the central prediction that more positive SORC-measured perceptions of the research climate were associated with more positive reports of research practices. There were differences with respect to whether shared or individual climate perceptions were related to desirable or undesirable practices but the general pattern of results provide empirical evidence that the SORC is predictive of self-reported research behavior. (shrink)

It is estimated that there could be 200 million‘environmental refugees’ by the middle of this century. One major environmental cause of population displacement is likely to be global climate change. As the situation is likely to become more pressing, it is vital to consider now the rights of environmental refugees and the duties of the rest of the world. However, this is not an issue that has been addressed in mainstream theories of global justice. This paper considers the potential of (...) two leading liberal theories of international justice to address the particular issues raised by the plight of potential and actual environmental refugees. I argue that neither John Rawls’s ‘Law of Peoples’ approach nor Charles Beitz’s `cosmopolitanism' is capable of providing an adequate account of justice in this context. Beitz’s theory does have some advantages over Rawls’s approach but it fails to take proper account of the attachment that some people have to their own ‘home’. (shrink)

5.5. Every topos is linguistic: the equivalence theorem.

This paper treats some of the issues raised by Putnam's discussion of, and claims for, quantum logic, specifically: that its proposal is a response to experimental difficulties; that it is a reasonable replacement for classical logic because its connectives retain their classical meanings, and because it can be derived as a logic of tests. We argue that the first claim is wrong (1), and that while conjunction and disjunction can be considered to retain their classical meanings, negation crucially does not. (...) The argument is conducted via a thorough analysis of how the meet, join and complementation operations are defined in the relevant logical structures, respectively Boolean- and ortholattices (3). Since Putnam wishes to reinstate a realist interpretation of quantum mechanics, we ask how quantum logic can be a logic of realism. We show that it certainly cannot be a logic of bivalence realism (i.e., of truth and falsity), although it is consistent with some form of ontological realism (4). Finally, we show that while a reasonable explication of the idealized notion of test yields interesting mathematical structure, it by no means yields the rich ortholattice structure which Putnam (following Finkelstein) seeks. (shrink)

Despite pronouncements about the inevitable diffusion of artificial intelligence and autonomous technologies, in practice, it is human behavior, not technology in a vacuum, that dictates how technology seeps into—and changes—societies. To better understand how human preferences shape technological adoption and the spread of AI-enabled autonomous technologies, we look at representative adult samples of US public opinion in 2018 and 2020 on the use of four types of autonomous technologies: vehicles, surgery, weapons, and cyber defense. By focusing on these four diverse (...) uses of AI-enabled autonomy that span transportation, medicine, and national security, we exploit the inherent variation between these AI-enabled autonomous use cases. We find that those with familiarity and expertise with AI and similar technologies were more likely to support all of the autonomous applications we tested (except weapons) than those with a limited understanding of the technology. Individuals that had already delegated the act of driving using ride-share apps were also more positive about autonomous vehicles. However, familiarity cut both ways; individuals are also less likely to support AI-enabled technologies when applied directly to their life, especially if technology automates tasks they are already familiar with operating. Finally, we find that familiarity plays little role in support for AI-enabled military applications, for which opposition has slightly increased over time. (shrink)

In recent years, the phenomenon of moral distress has been critically examined—and for a good reason. There have been a number of different definitions suggested, some that claimed to be consistent with the original definition but in fact referred to different epistemological states. In this paper, we re‐examine moral distress by exploring its relationship with moral agency. We critically examine three conceptions of moral agency and argue that two of these conceptions risk placing nurses' values at the center of moral (...) action when it ought to be the patient's values that shape nurses' obligations. We propose that the conception of moral agency advanced by Aimee Milliken which re‐centers patient values, should be more broadly accepted within nursing. We utilize a case example to demonstrate a situation in which the values of a patient's parents (surrogates) justifiably constrained nurses' moral agency, creating moral distress. Through an examination of constraints on nurse agency in this case, we illustrate the problematic nature of ‘narrow' moral distress and the value of re‐considering moral distress. Finally, we provide an action‐oriented proposal identifying mediating steps that we argue have utility for nurses (and other healthcare professionals) to mediate between experiences of narrow moral distress and the exercise of moral agency. (shrink)

This paper is an introduction to topos theory which assumes no prior knowledge of category theory. It includes a discussion of internal logic in a topos, A characterization of the category of sets, And an investigation of the notions of topology and sheaf in a topos.

Criminologists have long acknowledged the link between a number of cognitive deficits, including low intelligence and impulsivity, and crime. A new wave of research has demonstrated that pharmacological intervention can restore or improve cognitive function, particularly executive function, and restore neural plasticity. Such restoration and improvement can allow for easier acquisition of new skills and as a result, presents significant possibilities for the criminal justice system. For example, studies have shown that supplements of Omega-3, a fatty acid commonly found in (...) food such as tuna, can decrease frequency of violent incidents in an incarcerated population. Research has also begun to explore the use of selective serotonin reuptake inhibitors to reduce impulsivity in some violent offenders. However, there are significant legal and ethical implications when moving from dietary supplements to prescription pharmaceuticals and medical devices for cognitive intervention. This paper will explore the legal and ethical issues surrounding the use of pharmacological intervention on prisoners as an effort to reduce crime and recidivism. (shrink)

Agricultural diversification in the Midwestern Corn Belt has the potential to improve socioeconomic and environmental outcomes by buffering farmers from environmental and economic shocks and improving soil, water, and air quality. However, complex barriers related to agricultural markets, individual behavior, social norms, and government policy constrain diversification in this region. This study examines farmer perspectives regarding the challenges and opportunities for both corn and soybean production and agricultural diversification strategies. We analyze data from 20 focus groups with 100 participants conducted (...) in Indiana, Illinois, and Iowa through a combined inductive and deductive approach, drawing upon interpretive grounded theory. Our results suggest that when identifying challenges and opportunities, participants center economics and market considerations, particularly income, productivity, and market access. These themes are emphasized both as benefits of the current corn-soybean system, as well as challenges for diversification. Additionally, logistical, resource and behavioral hurdles– including the comparative difficulty and time required to diversify, and constraints in accessing land, labor, and technical support– are emphasized by participants as key barriers to diversification. Agricultural policies shape these challenges, enhancing the comparative advantage and decreasing the risk of producing corn and soybeans as compared to diversified products. Meanwhile, alternative marketing arrangements, farmer networks, family relationships, and improved soil health are highlighted as important opportunities for diversification. We contextualize our findings within the theories of reasoned action and diffusion of innovation, and explore their implications for farmer engagement, markets, and agricultural policy, and the development of additional resources for business and technical support. (shrink)

The centrality of the whole/part relation in mathematics is demonstrated through the presentation and analysis of examples from algebra, geometry, functional analysis,logic, topology and category theory.

Discussions of harm are central in the climate ethics literature. Especially in the rapidly emerging body of work addressing the question of whether or not individuals are morally responsible for their greenhouse gas (GHG) emissions, whether or in what way individuals’ emissions are harmful is a hotly debated question. John Nolt’s recent paper, “How harmful are the average American’s greenhouse gas emissions?” illustrates the prevalence of this framing (Nolt 2011). Here I take a step back and ask what we mean (...) by the concept “harmful” when talking about climate change. I argue, as several respondents to Nolt have suggested (e.g., Attfield 2011, Odenbaugh 2011), that we should not be so quick to apply our standard .. (shrink)

Case-based reasoning has long been used to facilitate instructional effectiveness. Although much remains to be known concerning the most beneficial way to present case material, recent literature suggests that simplifying case material is favorable. Accordingly, the current study manipulated two instructional techniques, incremental case presentation and forecasting outcomes, in a training environment in an attempt to better understand the utility of simplified versus complicated case presentation for learning. Findings suggest that pairing these two cognitively demanding techniques reduces satisfaction and detracts (...) from the effectiveness of the learning approach. Implications regarding the use of instructional techniques in training programs are discussed. (shrink)

IN THEIR WELL-KNOWN PAPER, Kochen and Specker (1967) introduce the concept of partial Boolean algebra (pBa) and show that certain (finitely generated) partial Boolean algebras arising in quantum theory fail to possess morphisms to any Boolean algebra (we call such pBa's intractable in the sequel). In this note we begin by discussing partial..

This essay is an attempt to sketch the evolution of type theory from its beginnings early in the last century to the present day. Central to the development of the type concept has been its close relationship with set theory to begin with and later its even more intimate relationship with category theory. Since it is effectively impossible to describe these relationships (especially in regard to the latter) with any pretensions to completeness within the space of a comparatively short article, (...) I have elected to offer detailed technical presentations of just a few important instances. (shrink)

Despite an abundance of research on inter-organizational trust, researchers are only beginning to understand the process of trust deterioration as an inter-organizational phenomenon. This paper presents a case study examining the deteriorating relationship between two international high-tech firms. We surveyed respondents from the supplier firm to identify major elements that reduced the supplier's trust in its customer, using the dimensions of trust identified by Mayer et al. (1995). While violations of ability, integrity, and benevolence all contributed to trust reduction, early (...) violations of trustee benevolence contributed importantly to trust deterioration. Over time, the relationship became "sensitive," and respondents reported many incidents of trust violation. Managers reported primarily integrity- and benevolence-related incidents, while no pattern emerged among operations personnel. We examine the results in light of Hosmer's (1995) ethically-based trust principles. The supplier and customer would likely differ in their opinion of whether the customer was acting "ethically." This suggests that scholars need to examine how many principles can be violated before trust is eliminated, and whether any of the principles are particularly salient in business relationships. (shrink)

We analyze Zorn's Lemma and some of its consequences for Boolean algebras in a constructive setting. We show that Zorn's Lemma is persistent in the sense that, if it holds in the underlying set theory, in a properly stated form it continues to hold in all intuitionistic type theories of a certain natural kind. (Observe that the axiom of choice cannot be persistent in this sense since it implies the law of excluded middle.) We also establish the persistence of some (...) familiar results in the theory of (complete) Boolean algebras--notably, the proposition that every complete Boolean algebra is an absolute subretract. This (almost) resolves a question of Banaschewski and Bhutani as to whether the Sikorski extension theorem for Boolean algebras is persistent. (shrink)

The question I shall attempt to address in what follows is an essentially historical one, namely: Why did analytic philosophy emerge first in Cambridge, in the hands of G. E. Moore and Bertrand Russell, and as a direct consequence of their revolutionary rejection of the philosophical tenets that form the basis of British Idealism? And the answer that I shall try to defend is: it didn't. That is to say, the ‘analytic’ doctrines and methods which Moore and Russell embraced in (...) the very last years of the nineteenth century were not revolutionary, did not emerge first in Cambridge, were the creation of neither Russell nor Moore and cannot be explained by appeal to facts concerning British Idealism. The adoption of the doctrines and methods which characterised the earliest manifestations of British analytic philosophy are to be explained neither by reference to anything specifically British, nor by appeal to anything unproblematically philosophical. Or so I shall argue. (shrink)

Interviews Professor Wang, a political philosopher at Beijing University about the political reforms in China. Explanation on a democratic political system with Chinese characteristics; Confucian tradition of respect for a ruling intellectual elite; Relevance of Confucian scholar Huang Zongxi's proposal for reform.

Clinical ethics has been developing in paediatric healthcare for several decades. However, information about how paediatricians use clinical ethics case consultation services is extremely limited. In this project, we analysed a large set of case records from the clinical ethics service of one paediatric hospital in Australia. We applied a paediatric-specific typology to the case referrals, based on the triadic doctor–patient–parent relationship. We reviewed the 184 cases referred to the service in the period 2005–2014, noting features including the type of (...) case, the referring department(s) and the patient9s age at referral. The two most common types of referral involved clinician uncertainty about the appropriate care pathway for the child (26% of total referrals) and situations where the child9s parents disagreed with the doctors’ recommendations for the child9s care (22% of total referrals). Referrals came from 28 different departments. Cancer, cardiology/cardiac surgery and general medicine referred the highest numbers of cases. The most common patient age groups were children under 1, and 14–15 years old. For three controversial areas of paediatric healthcare, clinicians had initiated processes of routine review of cases by the clinical ethics service. These insights into the way in which one very active paediatric clinical ethics service is used further our understanding of the work of paediatric clinical ethics, particularly the kinds of ethically challenging cases that paediatricians view as appropriate to refer for clinical ethics support. (shrink)

This is the first book to offer a philosophical engagement with microaggressions. It aims to provide an intersectional analysis of microaggressions that cuts across multiple dimensions of oppression and marginalization, and to engage a variety of perspectives that have been sidelined within the discipline of philosophy. The volume gathers a diverse group of contributors: philosophers of color, philosophers with disabilities, philosophers of various nationalities and ethnicities, and philosophers of several gender identities. Their unique frames of analysis articulate both how the (...) concept of microaggressions can be used to clarify and sharpen our understanding of subtler aspects of oppression and how analysis, expansion, and reconceiving the notion of a microaggression can deepen and extend its explanatory power. The essays in the volume seek to defend microaggressions from common critiques and to explain their impact beyond the context of college students. Some of the guiding questions that this volume explores include, but are not limited to, the following: Can microaggressions be established as a viable scientific concept? What roles do microaggressions play in other oppressive phenomena like transphobia, fat phobia, and abelism? How can epistemological challenges around microaggressions be addressed via feminist theory, critical race theory, disability theory, or epistemologies of ignorance? What insights can be gleaned from intersectional analyses of microaggressions? Are there domain-specific analyses of microaggressions that would give insight to features of that domain, i.e. microaggressions related to sexuality, athletics, immigration status, national origin, body type, or ability. Microaggressions and Philosophyfeatures cutting-edge research on an important topic that will appeal to a wide range of students and scholars across disciplines. It includes perspectives from philosophy of psychology, empirically informed philosophy, feminist philosophy, critical race theory, disability theory, philosophy of language, philosophy of science, and social and political philosophy. (shrink)

In what seems to have been his last paper, Insight and Reflection (1954), Hermann Weyl provides an illuminating sketch of his intellectual development, and describes the principal influences—scientific and philosophical—exerted on him in the course of his career as a mathematician. Of the latter the most important in the earlier stages was Husserl’s phenomenology. In Weyl’s work of 1918-22 we find much evidence of the great influence Husserl’s ideas had on Weyl’s philosophical outlook—one need merely glance through the pages of (...) Space-Time-Matter or The Continuum to see it. Witness, for example, the following passages from the former. (shrink)

While Jameton’s (1984) definition of moral distress has been embraced by researchers and scholars for recognizing the many constraints that nurses experience on their moral agency, it has also been...

InBeing and Nothingness, Jean-Paul Sartre affirms a circle of relations between oneself and another. This circle moves between the relations of love and desire and results from the fact that both love and desire are attempts to capture the other who always remains out of reach. Sartre denies that there can be a dialectic of such relations with others: never can there be a motivated movement beyond the frustrations and failures of each of these attempts to relate to the other. (...) The only way out of this circle is, therefore, according to Sartre, a radical conversion.Like the master in Hegel'sPhenomenology of Mind, each individual caught in this circle wants what cannot be attained: the assimilation or the negation of the freedom of the other. He is thus, like Hegel's master, impervious to any reasons that could count against what he is seeking; his failures cannot in any way motivate him to want what can be. From the point of view of such desires, any negative evaluation of these desires must seem arbitrary. Therefore, to the extent that Sartre's earlier writings indicate no other possibilities of human existence except those premised on such impossible demands, Sartre's negative evaluations concerning the bad faith of these individuals must seem arbitrary.My conclusion is not, however, simply negative since I argue that inSaint Genet Sartre presents Genet's life as a dialectical movement beyond failure to triumph. This is not a dialectic of bad faith. Rather it is a dialectic based on a very different desire from the desire for what cannot be. If Sartre thus develops another level, another fundamental desire, from which the level of bad faith can be judged to be wrong, then at least from this level the judgment is not a merely arbitrary one. (shrink)

Ethical issues arise in the world’s first population-level treatment of severe lead poisoning caused by small-scale mining for gold in rural Nigeria. Emergency medical intervention and environmental cleanup have reduced the mortality in children younger than 5 years from lead poisoning from over 40 to 2.5 per cent leaving little evidence of the harms caused by lead poisoning. In the absence of obvious sequelae, family adherence to long-term intensive therapy to remove accumulated lead reservoirs in children wanes and some community (...) miners challenge safer mining interventions to prevent recontamination of the environment with lead. This letter raises questions regarding community versus individual rights in public health interventions and patient autonomy. (shrink)

Consider the following well-known result from the theory of normed linear spaces ([2], p. 80, 4(b)): (g) the unit ball of the (continuous) dual of a normed linear space over the reals has an extreme point. The standard proof of (~) uses the axiom of choice (AG); thus the implication AC~(w) can be proved in set theory. In this paper we show that this implication can be reversed, so that (*) is actually eq7I2valent to the axiom of choice. From this (...) we derive various corollaries, for example: the conjunction of the Boolean prime ideal theorem and the Krein-Milman theorem implies the axiom of choice, and the Krein-Milman theorem is not derivable from the Boolean prime ideal theorem. (shrink)

The relation ≤ on R is defined by a ≤ b ⇔ ¬b < a. The open interval (a, b) and closed interval [a, b] are defined as usual, viz. (a, b) = {x: a < x < b} and [a, b] = {x: a ≤ x ≤ b}; similarly for half-open, half-closed, and unbounded intervals.

A weak form of intuitionistic set theory WST lacking the axiom of extensionality is introduced. While WST is too weak to support the derivation of the law of excluded middle from the axiom of choice, we show that bee.ng up WST with moderate extensionality principles or quotient sets enables the derivation to go through.