The partial structures program of da Costa, French and others offers a unified framework within which to handle a wide range of issues central to contemporary philosophy of science. I argue that the program is inadequately equipped to account for simple cases where idealizations are used to construct abstract, mathematical models of physical systems. These problems show that da Costa and French have not overcome the objections raised by Cartwright and Suárez to using model‐theoretic techniques in the philosophy of (...) science. However, my concerns arise independently of the more controversial assumptions that Cartwright and Suárez have employed. (shrink)

The partial structures program of da Costa, French and others offers a unified framework within which to handle a wide range of issues central to contemporary philosophy of science. I argue that the program is inadequately equipped to account for simple cases where idealizations are used to construct abstract, mathematical models of physical systems. These problems show that da Costa and French have not overcome the objections raised by Cartwright and Suárez to using model-theoretic techniques in the philosophy of (...) science. However, my concerns arise independently of the more controversial assumptions that Cartwright and Suárez have employed. (shrink)

Partiality is the special concern that we display for ourselves and other people with whom we stand in some special personal relationship. It is a central theme in moral philosophy, both ancient and modern. Questions about the justification of partiality arise in the context of enquiry into several moral topics, including the good life and the role in it of our personal commitments; the demands of impartial morality, equality, and other moral ideals; and commonsense ideas about supererogation. This paper provides (...) an overview of the debate on the ethics of partiality through the lens of the domains of permissible and required partiality. After outlining the conceptual space, I first discuss agent-centred moral options that concern permissions not to do what would be impartially optimal. I then focus on required partiality, which concerns associative duties that go beyond our general duties to others and require us to give special priority to people who are close to us. I discuss some notable features of associative duties and the two main objections that have been raised against them: the Voluntarist and the Distributive objections. I then turn to the justification of partiality, focusing on underivative approaches and reasons-based frameworks. I discuss the reductionism and non-reductionism debate: the question whether partiality is derivative or fundamental. I survey arguments for ‘the big three’, according to which partiality is justified by appeal to the special value of either projects, personal relationships, or individuals. I conclude by discussing four newly emerging areas in the debate: normative transitions of various personal relationships, relationships with AI, epistemic partiality, and negative partiality, which concerns the negative analogue of our positive personal relationships. (shrink)

Say that an audience understands a given utterance perfectly only if she correctly identifies which proposition (or propositions) that utterance expresses. In ideal circumstances, the participants in a conversation will understand each other’s utterances perfectly; however, even if they do not, they may still understand each other’s utterances at least in part. Although it is plausible to think that the phenomenon of partial understanding is very common, there is currently no philosophical account of it. This paper offers such (...) an account. Along the way, I argue against two seemingly plausible accounts which use Stalnaker’s notion of common ground and Lewisian subject matters, respectively. (shrink)

This article provides a conceptual map of the debate on ideal and non‐ideal theory. It argues that this debate encompasses a number of different questions, which have not been kept sufficiently separate in the literature. In particular, the article distinguishes between the following three interpretations of the ‘ideal vs. non‐ideal theory’ contrast: (i) full compliance vs. partial compliance theory; (ii) utopian vs. realistic theory; (iii) end‐state vs. transitional theory. The article advances critical reflections on each (...) of these sub‐debates, and highlights areas for future research in the field. (shrink)

It is a precept of commonsense morality that parents have permissions to be partial toward their own children in various ways: they are permitted to act in a variety of ways that favor the interests of their own children. But how are such permissions to be reconciled with more general principles of justice? In this article, I discuss this question as it arises for one kind of liberal egalitarian theory of justice. Given their robust commitment to an ideal (...) of equality, such theories face prima facie difficulties in accommodating the commonsense permissions of parental partiality. After sketching the contours of the apparent conflict between equality and parental partiality, I survey some of the ways in which some writers have attempted to reconcile equality and parental partiality, and I criticize these reconciliation proposals, which in different ways subordinate a concern for equality to a concern for parental partiality. I then suggest a different direction for reconciliation, which subordinates a concern for partiality to a concern for equality. This alternative reconciliation strategy, I argue, deserves to be taken seriously by liberal egalitarians; whether it is the most plausible way to reconcile equality and parental partiality depends on one’s view about the moral weight of people’s interest in parenting. (shrink)

What should we do when we won't do as we ought? Suppose it ought to be that the procrastinating professor accept the task of reviewing a book, and actually review the book. It seems clear that given he won't review it, he ought not to accept the task. That is a genuine moral obligation in light of less than perfect circumstances. I want to entertain the possibility that a set of such obligations form something like a 'practical morality'; that which (...) we ought to do given that we're unlikely or unwilling to do much of what ideal morality demands. If it is possible to give a coherent account of these kinds of obligations, then it is possible to entertain the idea that these obligations are in fact what morality demands. The conceptual truths about justice (good, right, fairness) that come from ideals are one thing; the actions that morality demands of people given their actual circumstances are quite another. In this paper I will ask about the kinds of facts that can be used to establish a more circumscribed set of obligations than we get from the orthodox view about moral obligation. (shrink)

This essay counteracts that trend [regarding the debate about whether partiality can be justified, those supporting impartiality have generally been on the offensive arguing that morality calls for impartiality] by taking a closer look at the moral complexity of our social practices of partiality. My adoption of this approach does not represent an endorsement of current notions of impartiality. The ideal of impartiality, in my view, should be substantially reformulated. However, that the concept of partiality is transparently defensible. In (...) this discussion, I focus on the aspects of partiality that complicate the philosophical defense of it. In the first part of the discussion, I argue that the moral value of partiality depends partly on the moral value of the relationships it helps to sustain. It matters to the philosophical issues at stake that personal relationships can be abusive and oppressive. In Section II, I refer to the vastly unequal social distribution of the means for favoring loved ones. Because many people have inadequate resources for caring for their loved ones, our conventional relationship practices of partiality-practices by which we care only for our ``own''-can be disasterous for many people. This seriously complicates the defense of partiality. The paper ends with a discussion, in Section III, of ``global moral concern'' and the resistance which most partialists show to it. (shrink)

Moral psychology is often ignored in ethical theory, making applied ethics difficult to achieve in practice. This is particularly true in the new field of animal ethics. One key feature of moral psychology is recognition of the moral primacy of those with whom we enjoy relationships of love and friendship – philia in Aristotles term. Although a radically new ethic for animal treatment is emerging in society, its full expression is severely limited by our exploitative uses of animals. At this (...) historical moment, only the animals with whom we enjoy philia – companion animals – can be treated with unrestricted moral concern. This ought to be accomplished, both for its own sake and as an ideal model for the future evolution of animal ethics. (shrink)

We study the structure of analytic ideals of subsets of the natural numbers. For example, we prove that for an analytic ideal I, either the ideal {X (Ω × Ω: En X ({0, 1,…,n} × Ω } is Rudin-Keisler below I, or I is very simply induced by a lower semicontinuous submeasure. Also, we show that the class of ideals induced in this manner by lsc submeasures coincides with Polishable ideals as well as analytic P-ideals. We study this (...) class of ideals and characterize, for example, when the ideals in it are Fσ or when they carry a locally compact group topology. We apply these results to Borel partial orders to rederive a theorem of Todorcevic and to Borel equivalence relations to answer a question of Kechris and Louveau. As another application we give a characterization of σ-ideals of μ-zero sets for Maharam submeasures μ on the Cantor set which is to a large extent analogous to a characterization of the meager ideal due to Kechris and the author. (shrink)

On a contemporary Humean-influenced view, the responses of suitably idealized appreciators are presented as tracking, or even determining, facts about artistic value. Focusing on the intra-personal case, this paper argues that (i) facts about the refinement and reconfiguration of aesthetic character together with (ii) the manner in which autobiography and character are implicated in artistic appreciation make it de facto unlikely that we can reliably come to know how our ideal counterpart would respond to a given artwork. Attribution of (...) superhuman abilities to our ideal counterpart partially addresses this worry, but undermines a central feature of the theoretical motivation for the idealizing model. Insofar as response-dependent accounts of artistic value are inextricably tied to an idealizing view of critics, we have reason to reject them. (shrink)

§1. Introduction. Ideals and filters of subsets of natural numbers have been studied by set theorists and topologists for a long time. There is a vast literature concerning various kinds of ultrafilters. There is also a substantial interest in nicely definable ideals—these by old results of Sierpiński are very far from being maximal— and the structure of such ideals will concern us in this announcement. In addition to being interesting in their own right, Borel and analytic ideals occur naturally in (...) the investigations of compact subsets of the space of all Baire class 1 functions on a Polish space, see [12, 18]. Also, certain objects associated with such ideals are of considerable interest and were quite extensively studied by several authors. Let us list here three examples; in all three of them I stands for an analytic or Borel ideal.1. The partial order induced by I on P: X ≥I Y iff X \ Y ϵ I and the partial order.2. Boolean algebras of the form P/I and their automorphisms.3. The equivalence relation associated with I: XEI Y iff X Δ ϵ I.In Section 4, we will have an opportunity to state some consequences of our results for equivalence relations as in 3. (shrink)

This paper aims (a) to provide characterizations of realism and instrumentalism that are philosophically interesting and applicable to economics; and (b) to defend instrumentalism against realism as a methodological stance in economics. Starting point is the observation that ‘all models are false’, which, or so I argue, is difficult to square with the realist's aim of truth, even if the latter is understood as ‘partial’ or ‘approximate’. The three cheers in favour of instrumentalism are: (1) Once we have usefulness, (...) truth is redundant. (2) There is something disturbing about causal structure. (3) It's better to do what one can than to chase rainbows. (shrink)

The aim of this paper is to help clarify the debate about whether human morality is continuous or discontinuous with nonhuman animal behavior by contrasting partiality and impartiality as moral terms. The problem for evolutionary ethicists, who derive ethics from human evolutionary history, is that only partiality, the practice of extending care and moral consideration to one’s in-group, can be accounted for by natural selection and therefore shown to be continuous with nonhuman animal behavior. Impartiality, the ideal of applying (...) moral standards equally to all humans, on the other hand, cannot be accounted for by natural selection. A conceptual gap, or saltatory leap, thus opens up between behaviors classified morally as partial or impartial, pointing to a conclusion of discontinuity in explaining the origin of morality. Frans de Waal’s 2006 book Primates and Philosophers, How Morality Evolved, takes up this issue, with de Waal arguing for the evolutionary position, continuity, even while upholding impartiality as the highest form of morality. His opponents are “veneer theorists,” who view morality, generally, as a uniquely human construction, required in order to overcome base and selfish desires. De Waal entertains critical responses to his discussion by several thinkers, and I consider that of Peter Singer. I also look to the neuropsychological research of Joshua Greene and Jonathan Haidt, as does de Waal, for help with the apparent evolutionary gap between partial and impartial moral beliefs but do not find a solution. Finally, I suggest other ways of rescuing the continuity thesis. (shrink)

It has been recently debated whether there exists a so-called “easy road” to nominalism. In this essay, I attempt to fill a lacuna in the debate by making a connection with the literature on infinite and infinitesimal idealization in science through an example from mathematical physics that has been largely ignored by philosophers. Specifically, by appealing to John Norton’s distinction between idealization and approximation, I argue that the phenomena of fractional quantum statistics bears negatively on Mary Leng’s proposed path to (...) easy road nominalism, thereby partially defending Mark Colyvan’s claim that there is no easy road to nominalism. (shrink)

Typically, fair machine learning research focuses on a single decision maker and assumes that the underlying population is stationary. However, many of the critical domains motivating this work are characterized by competitive marketplaces with many decision makers. Realistically, we might expect only a subset of them to adopt any non-compulsory fairness-conscious policy, a situation that political philosophers call partial compliance. This possibility raises important questions: how does partial compliance and the consequent strategic behavior of decision subjects affect the (...) allocation outcomes? If k% of employers were to voluntarily adopt a fairness-promoting intervention, should we expect k% progress (in aggregate) towards the benefits of universal adoption, or will the dynamics of partial compliance wash out the hoped-for benefits? How might adopting a global (versus local) perspective impact the conclusions of an auditor? In this paper, we propose a simple model of an employment market, leveraging simulation as a tool to explore the impact of both interaction effects and incentive effects on outcomes and auditing metrics. Our key findings are that at equilibrium: (1) partial compliance by k% of employers can result in far less than proportional (k%) progress towards the full compliance outcomes; (2) the gap is more severe when fair employers match global (vs local) statistics; (3) choices of local vs global statistics can paint dramatically different pictures of the performance vis-a-vis fairness desiderata of compliant versus non-compliant employers; (4) partial compliance based on local parity measures can induce extreme segregation. Finally, we discuss implications for auditors and insights concerning the design of regulatory frameworks. (shrink)

In Tsuji 1997 the concept of Jeffrey-Keynes algebras was introduced in order to construct a paraconsistent theory of decision under uncertainty. In the present paper we show that these algebras can be used to develop a theory of decision under uncertainty that measures the degree of belief on the quasi (or partial) truth of the propositions. As applications of this new theory of decision, we use it to analyze Popper's paradox of ideal evidence and to indicate a possible (...) way of formalizing Keynes' theory of economic action. (shrink)

On a contemporary Humean-influenced view, the responses of suitably idealized appreciators are presented as tracking, or even determining, facts about artistic value. Focusing on the intra-personal case, this paper argues that facts about the refinement and reconfiguration of aesthetic character together with the manner in which autobiography and character are implicated in artistic appreciation make it de facto unlikely that we can reliably come to know how our ideal counterpart would respond to a given artwork. Attribution of superhuman abilities (...) to our ideal counterpart partially addresses this worry, but undermines a central feature of the theoretical motivation for the idealizing model. Insofar as response-dependent accounts of artistic value are inextricably tied to an idealizing view of critics, we have reason to reject them. (shrink)

A number of social theorists have contended that the essence of historical analysis is the employment of ideal types to comprehend past goings-on. But, while acknowledging that the study of history through ideal types can yield genuine insight, we may still ask if it represents the full emancipation of historical understanding from other modes of conceiving the past. This paper follows Michael Oakeshott's work on the philosophy of history in arguing that explaining the historical past by means of (...) ideal types, even though offering a coherent and fruitful enterprise, nevertheless falls short of fully embodying the characteristics that differentiate historical understanding. -/- This dispute involves fundamental issues regarding the nature of the social sciences. Furthermore, I suggest that it is of more than purely theoretical interest, in that social theorists who have accepted the Weberian view of historical inquiry will tend to be unaware of the defects inherent in all attempts to capture the nature of past events in a net of generalizations, and thus may be lead to ignore the inherent partiality of the understanding of historical happenings provided by ideal typification. (shrink)

A central goal of the scientific endeavor is to explain phenomena. Scientists often attempt to explain a phenomenon by way of representing it in some manner—such as with mathematical equations, models, or theory—which allows for an explanation of the phenomenon under investigation. However, in developing scientific representations, scientists typically deploy simplifications and idealizations. As a result, scientific representations provide only partial, and often distorted, accounts of the phenomenon in question. Philosophers of science have analyzed the nature and function of (...) how scientists construct representations, deploy idealizations, and provide explanations. As such, our aim in this special issue is to bring these three pillars of research into closer contact with the contributions to it focusing on three main themes. -/- The first set of papers, Alan Baker (2021) and Marc Lange (2021), address mathematical explanations in science. Baker (2021), a proponent of mathematical Platonism, examines its capacity to evade the critique that the so-called Enhanced Indispensability Argument is circular. Lange (2021) examines distinctively mathematical explanations, arguing that neither Platonism nor representationalism are successful paths, and instead argues in favor of Aristotelian realism. A second theme emerging from the papers in this special issue is the impact that various conceptualizations of idealization have on our abilities to offer scientific explanations, to pro- duce an analysis of what explanations are or should be, and to understand scientific representation. Peter Tan (2021) suggests amending inferentialist accounts of scientific representation to account for inconsistent idealizations. Michael Strevens (2021) advocates a view wherein the introduction of idealizations into a model is legitimate so long as it pertains to non-difference-making factors, arguing for a logical reading of the notion of difference-making. Natalia Carrillo and Tarja Knuuttila (2022) offer an alternative account to the idealization-as-distortion view, emphasizing instead the holistic nature of idealization. -/- Finally, contributions by Carrillo and Knuuttila (2022), Terzian (2021), Valente (2021), and Rodriguez (2021) illustrate how issues regarding idealization, representation, and explanation are applied to specific contexts and across various sciences. Carrillo and Knuuttila (2022) examine conceptions of idealization in the context of models of the nerve impulse. Giulia Terzian (2021) extends the discussion of idealizations to the context of generative linguistics. Giovanni Valente (2021) examines how idealizations and evaluations of accurate representation impact capacities to explain phenomena in the context of statistical thermodynamics. Quentin Rodriguez (2021) examines the role of idealizations and analogies in various strategies to explain critical phenomena. -/- In what follows, we offer a brief overview of important philosophical issues connected to representation, idealization, and explanation in science. We then provide short summaries of the eight papers in this special issue. (shrink)

Rawls’s contractualist approach to justice is well known for its adoption of ideal theory. This approach starts by setting out the political goal or ideal and leaves it to non-ideal or partial compliance theory to map out how to get there. However, Rawls’s use of ideal theory has been criticized by Sen from the right and by Mouffe from the left. We critically address these concerns in the context of developing a Rawlsian approach to climate (...) justice. While the importance of non-ideal theory for climate justice is increasingly being understood, its strategic and institutional importance for a Rawlsian approach needs further elaboration. We focus on the role of the Kantian conception of the reasonable and rational powers of persons in Rawls’s work and show how this helps us to develop a partial compliance theory that focuses on the importance of institutions and strategic political action for achieving climate justice. (shrink)

Crop protection has a very long history during which new methods have been developed whilst, at the same time, the older ones have retained their usefulness in certain conditions. The diversity of agricultural land and production has meant that it was futile to search for a unique and definitive approach or technical solution and, instead, the central concept has always been one of integration, during all the period of pre-Green Revolution and again today within what we call a sustainable agriculture. (...) On a global level, it would seem that the current situation does not fundamentally contradict this idea. Nevertheless, in recent years (since the Second World War), two important advances, presented as the definitive solutions to problems and potentially exceeding previously less effective ones, have led to this integrative approach being questioned. These are agrochemistry and agro-genetics. We will detail, here, the agro-environmental limits of these two “miracle solutions,” followed by a review from an ethical and an epistemological point of view. This enables us to demonstrate the relevance of integrated approaches in agriculture and leads to a definition of crop protection that forms part of a strong approach in sustainable development. By changing the semantics, the epistemic position and our vision of production, we arrive at the proposal of sustainable agriculture. (shrink)

According to a defense of scientific realism known as the “divide et impera move”, mature scientific theories enjoying predictive success are partially true. This paper investigates a paradigmatic historical case: the prediction, based on Fresnel’s wave theory of light, that a bright spot should figure in the shadow of a disc. Two different derivations of this prediction have been given by both Poisson and Fresnel. I argue that the details of these derivations highlight two problems of indispensability arguments, which state (...) that only the indispensable constituents of this success are worthy of belief and retained through theory-change. The first problem is that, contrary to a common claim, Fresnel’s integrals are not needed to predict the bright spot phenomenon. The second problem is that the hypotheses shared by to these two derivations include problematic idealizations. I claim that this example leads us to be skeptical about which aspects of our current theories are worthy of belief. (shrink)

In 1984, Irving Singer published the first volume of what would become a classic and much acclaimed trilogy on love. Trained as an analytical philosopher, Singer first approached his subject with the tools of current philosophical methodology. Dissatisfied by the initial results, he turned to the history of ideas in philosophy and the arts for inspiration. He discovered an immensity of speculation and artistic practice that reached wholly beyond the parameters he had been trained to consider truly philosophical. In his (...) three-volume work The Nature of Love, Singer tried to make sense of this historical progression within a framework that reflected his precise distinction-making and analytical background. In this new book, he maps the trajectory of his thinking on love. It is a "partial" summing-up of a lifework: partial because it expresses the author's still unfolding views, because it is a recapitulation of many published pages, because love--like any subject of that magnitude--resists a neatly comprehensive, all-inclusive formulation. Adopting an informal, even conversational, tone, Singer discusses, among other topics, the history of romantic love, the Platonic ideal, courtly and nineteenth-century Romantic love; the nature of passion; the concept of merging ; ideas about love in Freud, Schopenhauer, Nietzsche, Dewey, Santayana, Sartre, and other writers; and love in relation to democracy, existentialism, creativity, and the possible future of scientific investigation. Singer's writing on love embodies what he has learned as a contemporary philosopher, studying other authors in the field and "trying to get a little further." This book continues his trailblazing explorations. (shrink)

This paper explores the scientific viability of the concept of causality—by questioning a central element of the distinction between “fundamental” and non-fundamental physics. It will be argued that the prevalent emphasis on fundamental physics involves formalistic and idealized partial models of physical regularities abstracting from and idealizing the causal evolution of physical systems. The accepted roles of partial models and of the special sciences in the growth of knowledge help demonstrate proper limitations of the concept of fundamental physics. (...) We expect that a cause precedes its effect. But in some tension with this point, fundamental physical law is often held to be symmetrical and all-encompassing. Physical time, however, has not only measurable extension, as with spatial dimensions, it also has a direction—from the past through the present into the future. This preferred direction is time’s arrow. In spite of this standard contrast of time with space, if all the fundamental laws of physics are symmetrical, they are indifferent to time’s arrow. In consequence, excessive emphasis on the ideal of symmetrical, fundamental laws of physics generates skepticism regarding the common-sense and scientific uses of the concept of causality. The expectation has been that all physical phenomena are capable of explanation and prediction by reference to fundamental physicals laws—so that the laws and phenomena of statistical thermodynam- ics —and of the special sciences—must be derivative and/or secondary. The most important and oft repeated explanation of time’s arrow, however, is provided by the second law of thermodynamics. This paper explores the prospects for time’s arrow based on the second law. The concept of causality employed here is empirically based, though acknowledging practical scientific interests, and is linked to time’s arrow and to the thesis that there can be no causal change, in any domain of inquiry, without physical interaction. (shrink)

In this paper I would like to examine what I believe is an often misunderstood aspect of F.H. Bradley’s philosophy. Specifically, I want to consider Bradley’s views on the relation between perception and what he calls the “feeling base” of experience. Although Bradley’s doctrine of feeling is generally recognized as one of the most distinctive aspects of his thought, his theory of perception is, I believe, also unusual in that it views our perceptual experience as permeated by conceptual identities. As (...) we shall see, Bradley understands perception as essentially ideal. And when he uses this term to describe the contents of our ordinary perceptual awareness, Bradley wants to convey to us his belief that there is something about perception which bears the mark of thought. “Ideal” and “ideality” — terms which signal the presence of thought — are also used by Bradley to indicate that an experience is at least partially abstract and general. Thus when he calls perception ideal he is claiming — contrary to the received view — that perception does not present us with objects that are wholly determinate and particular. (shrink)

The strongest arguments for the permissibility of geoengineering (also known as climate engineering) rely implicitly on non-ideal theory—roughly, the theory of justice as applied to situations of partial compliance with principles of ideal justice. In an ideally just world, such arguments acknowledge, humanity should not deploy geoengineering; but in our imperfect world, society may need to complement mitigation and adaptation with geoengineering to reduce injustices associated with anthropogenic climate change. We interpret research proponents’ arguments as an application (...) of a particular branch of non-ideal theory known as “clinical theory.” Clinical theory aims to identify politically feasible institutions or policies that would address existing (or impending) injustice without violating certain kinds of moral permissibility constraints. We argue for three implications of clinical theory: First, conditional on falling costs and feasibility, clinical theory provides strong support for some geoengineering techniques that aim to remove carbon dioxide from the atmosphere. Second, if some kinds of carbon dioxide removal technologies are supported by clinical theory, then clinical theory further supports using those technologies to enable “overshoot” scenarios in which developing countries exceed the cumulative emissions caps that would apply in ideal circumstances. Third, because of tensions between political feasibility and moral permissibility, clinical theory provides only weak support for geoengineering techniques that aim to manage incoming solar radiation. (shrink)

In their strife for designing a moral system where everyone is given equal consideration, cosmopolitan theorists have merely tolerated partiality as a necessary evil (insofar it means that we give priority to our kin opposite the distant needy). As a result, the cosmopolitan ideal has long departed from our moral psychologies and our social realities. Here I put forward partial cosmopolitanism as an alternative to save that obstacle. Instead of demanding impartial universal action, it requires from us that (...) we are equally responsive in all the relationships we stand in. That goes from the local to the cosmopolitan sphere, since I defend that we are related with strangers as co-members of the global community. Thus, partiality not only is accommodated by cosmopolitanism, but actually supports it: only by having meaningful personal relationships we become able to care for distant strangers. (shrink)

My aim in this essay is to partially characterize an ideal kind of respectful attitude that we should aspire to have towards all people and to explain why some of the ways we often regard and treat those with disabilities may be incompatible with realizing this ideal. My proposal is roughly that that one kind of respect, which I call ‘identity respect’, is directed at the identity or self-conception of persons; that this kind of respect involves regarding the (...) identity of others as worthy of our understanding, appreciating the value to others of their identities and not being judgmental in our assessments of them within certain limits; and that respecting the identities of all people is a moral ideal because of its connection to our nature as rational persons. Having a respectful attitude of this sort would lead to improvements in how we regard and treat disabled people and others, but reflecting on its nature and value can also advance our understanding of parts of morality that go beyond our moral rights and duties and concern the kinds of attitudes, character traits and relationships that we should strive to develop and maintain. (shrink)

‘Impartial benevolence and partial love’ contributes, like the other essays in the edited collection ‘The Problem of Moral Demandingness’, to the discussion of that problem. Its contribution is to offer a phenomenological exploration of the place that these two ideas/ ideals actually have in our ethical life and experience. On the basis of this exploration I argue that neither ideal, neither impartial benevolence nor partial love, comprehensively “trumps” the other — both are important, and more to the (...) point, simply different. Hence there is no general algorithm for deciding which counts for more. (shrink)

We address some phenomena about the interaction between lower semicontinuous submeasures on $${\mathbb {N}}$$ N and $$F_{\sigma }$$ F σ ideals. We analyze the pathology degree of a submeasure and present a method to construct pathological $$F_{\sigma }$$ F σ ideals. We give a partial answers to the question of whether every nonpathological tall $$F_{\sigma }$$ F σ ideal is Katětov above the random ideal or at least has a Borel selector. Finally, we show a representation of (...) nonpathological $$F_{\sigma }$$ F σ ideals using sequences in Banach spaces. (shrink)

This paper explores the scientific viability of the concept of causality—by questioning a central element of the distinction between “fundamental” and non-fundamental physics. It will be argued that the prevalent emphasis on fundamental physics involves formalistic and idealized partial models of physical regularities abstracting from and idealizing the causal evolution of physical systems. The accepted roles of partial models and of the special sciences in the growth of knowledge help demonstrate proper limitations of the concept of fundamental physics. (...) We expect that a cause precedes its effect. But in some tension with this point, fundamental physical law is often held to be symmetrical and all-encompassing. Physical time, however, has not only measurable extension, as with spatial dimensions, it also has a direction—from the past through the present into the future. This preferred direction is time’s arrow. In spite of this standard contrast of time with space, if all the fundamental laws of physics are symmetrical, they are indifferent to time’s arrow. In consequence, excessive emphasis on the ideal of symmetrical, fundamental laws of physics generates skepticism regarding the common-sense and scientific uses of the concept of causality. The expectation has been that all physical phenomena are capable of explanation and prediction by reference to fundamental physicals laws—so that the laws and phenomena of statistical thermodynamics—and of the special sciences—must be derivative and/or secondary. The most important and oft repeated explanation of time’s arrow, however, is provided by the second law of thermodynamics. This paper explores the prospects for time’s arrow based on the second law. The concept of causality employed here is empirically based, though acknowledging practical scientific interests, and is linked to time’s arrow and to the thesis that there can be no causal change, in any domain of inquiry, without physical interaction. (shrink)

We study ideals in the computably enumerable Turing degrees, and their upper bounds. Every proper ideal in the c.e. Turing degrees has an incomplete upper bound. It follows that there is no prime ideal in the c.e. Turing degrees. This answers a question of Calhoun [2]. Every proper ideal in the c.e. Turing degrees has a low2 upper bound. Furthermore, the partial order of ideals under inclusion is dense.

Let $\mathcal {I}$ be an ideal on $\omega $. For $f,\,g\in \omega ^{\omega }$ we write $f \leq _{\mathcal {I}} g$ if $f(n) \leq g(n)$ for all $n\in \omega \setminus A$ with some $A\in \mathcal {I}$. Moreover, we denote $\mathcal {D}_{\mathcal {I}}=\{f\in \omega ^{\omega }: f^{-1}[\{n\}]\in \mathcal {I} \text { for every } n\in \omega \}$ (in particular, $\mathcal {D}_{\mathrm {Fin}}$ denotes the family of all finite-to-one functions).We examine cardinal numbers $\mathfrak {b}(\geq _{\mathcal {I}}\cap (\mathcal {D}_{\mathcal {I}} \times \mathcal (...) {D}_{\mathcal {I}}))$ and $\mathfrak {b}(\geq _{\mathcal {I}}\cap (\mathcal {D}_{\mathrm {Fin}}\times \mathcal {D}_{\mathrm {Fin}}))$ describing the smallest sizes of unbounded from below with respect to the order $\leq _{\mathcal {I}}$ sets in $\mathcal {D}_{\mathrm {Fin}}$ and $\mathcal {D}_{\mathcal {I}}$, respectively. For a maximal ideal $\mathcal {I}$, these cardinals were investigated by M. Canjar in connection with coinitial and cofinal subsets of the ultrapowers.We show that $\mathfrak {b}(\geq _{\mathcal {I}}\cap (\mathcal {D}_{\mathrm {Fin}} \times \mathcal {D}_{\mathrm {Fin}})) =\mathfrak {b}$ for all ideals $\mathcal {I}$ with the Baire property and that $\aleph _1 \leq \mathfrak {b}(\geq _{\mathcal {I}}\cap (\mathcal {D}_{\mathcal {I}} \times \mathcal {D}_{\mathcal {I}})) \leq \mathfrak {b}$ for all coanalytic weak P-ideals (this class contains all $\bf {\Pi ^0_4}$ ideals). What is more, we give examples of Borel (even $\bf {\Sigma ^0_2}$ ) ideals $\mathcal {I}$ with $\mathfrak {b}(\geq _{\mathcal {I}}\cap (\mathcal {D}_{\mathcal {I}} \times \mathcal {D}_{\mathcal {I}}))=\mathfrak {b}$ as well as with $\mathfrak {b}(\geq _{\mathcal {I}}\cap (\mathcal {D}_{\mathcal {I}} \times \mathcal {D}_{\mathcal {I}})) =\aleph _1$.We also study cardinals $\mathfrak {b}(\geq _{\mathcal {I}}\cap (\mathcal {D}_{\mathcal {J}} \times \mathcal {D}_{\mathcal {K}}))$ describing the smallest sizes of sets in $\mathcal {D}_{\mathcal {K}}$ not bounded from below with respect to the preorder $\leq _{\mathcal {I}}$ by any member of $\mathcal {D}_{\mathcal {J}}\!$. Our research is partially motivated by the study of ideal-QN-spaces: those cardinals describe the smallest size of a space which is not ideal-QN. (shrink)

Hume offers two ways of reconciling the partiality of people’s feelings with the generality of moral thinking. First, the general point of view in moral evaluation is not that of a disinterested observer, but of another person who has a close relationship with the person to be judged. Here I find something analogous to the idea of Nel Noddings, who attempts to build an ethical theory on the basis of caring relationships. Second, according to Hume, the generality of the rules (...) of justice is also compatible with partial feelings. Such rules allow everyone to pursue his or her goals without fear of violent intervention from others. My idea is that these rules are comparable to those of a competitive game. The idea of fair competition is not necessarily alien to Noddings’ type of ethical theory. As children, human beings normally learn to be fair in competitive games, along with caring for family members and friends. An ethical ideal of fairness may develop through competitions and help people get along with others beyond narrow circles. Taking into account of the competitive elements in relationship between people will be helpful in giving a fuller picture of a broadly Humean, sentimentalist ethical theory. (shrink)

Let $\mathfrak{M}$ be the Medvedev lattice: this paper investigates some filters and ideals (most of them already introduced by Dyment, [4]) of $\mathfrak{M}$ . If $\mathfrak{G}$ is any of the filters or ideals considered, the questions concerning $\mathfrak{G}$ which we try to answer are: (1) is $\mathfrak{G}$ prime? What is the cardinality of ${\mathfrak{M} \mathord{\left/ {\vphantom {\mathfrak{M} \mathfrak{G}}} \right. \kern-0em} \mathfrak{G}}$ ? Occasionally, we point out some general facts on theT-degrees or the partial degrees, by which these questions can (...) be answered. (shrink)

In this paper, we study some new examples of ideals on $$\omega $$ with maximal Tukey type (that is, maximal among partial orders of size continuum). This discussion segues into an examination of a refinement of the Tukey order—known as the weak Rudin–Keisler order—and its structure when restricted to these ideals of maximal Tukey type. Mirroring a result of Fremlin (Note Mat 11:177–214, 1991) on the Tukey order, we also show that there is an analytic P-ideal above all (...) other analytic P-ideals in the weak Rudin–Keisler order. (shrink)

Hurford's discussion also vindicates the classical empiricist program in semantics. The idea that PREDICATE(x) is the logical form of the sensory representations encoded via the dorsal and ventral streams validates empiricists' insistence on the psychological primacy of sense data, which have the same form. In addition to knowing the logical form of our primitive representations, however, we need accounts of (1) their contents and (2) how more complex thoughts are derived from them. Ideally, our semantic vocabulary would both reflect the (...) psychological “primitiveness” of these representations and make clear how more complex representations derive from them. (shrink)

“Resilience” is booming. No longer a mere metaphor or abstract reference to dispositional properties, the resilience of communities or social-ecological systems is increasingly grounded in specific first-order properties. Consequently, resilience now constitutes a contentful and achievable partial conception of a good society. Yet political philosophers have taken little notice. The current article first discerns within recent social-scientific literature a set of attainable and measurable first-order properties that constitute “community resilience” or “ecological resilience.” Then, specifying “resilience” as the resilience of (...) high-HDI democratic societies to environmental disasters, infrastructure failures, and economic collapse, the current article argues from within a liberal framework that both “classical” and “egalitarian” liberals must treat resilience so understood as a necessary condition of legitimacy and justice; and this conclusion forces an overhaul of these liber... (shrink)

We investigate the cofinality of the partial order N κ of functions from a regular cardinal κ into the ideal N of Lebesgue measure zero subsets of R. We show that when add(N) = κ and the covering lemma holds with respect to an inner model of GCH, then cf(N κ ) = max {cf(κ κ ), cf([ cf(N)] κ )}. We also give an example to show that the covering assumption cannot be removed.

The most immediately appealing model for formal constraints on degrees of belief is provided by probability theory, which tells us, for instance, that the probability of P can never be greater than that of (P v Q). But while this model has much intuitive appeal, many have been concerned to provide arguments showing that ideally rational degrees of belief would conform to the calculus of probabilities. The arguments most frequently used to make this claim plausible are the so-called "Dutch Book" (...) arguments. (shrink)

Many people in the developing world access essential health services either partially or primarily through programs run by international non-governmental organizations (INGOs). Given that such programs are typically designed and run by Westerners, and funded by Western countries and their citizens, it is not surprising that such programs are regarded by many as vehicles for Western cultural imperialism. In this chapter, I consider this phenomenon as it emerges in the context of development and humanitarian aid programs, particularly those delivering medical (...) treatment, nutrition and access to clean water. I argue that in order to avoid contributing to cultural imperialism, INGOs have a duty to ensure that they do not offer services in a way that requires their beneficiaries to choose between accessing essential health services and violating or otherwise undermining traditional norms and practices which have significance for their beneficiaries. Following Onora O'Neill, I argue that offers requiring such a choice are effectively “unrefuseable” and so coercive. INGOs therefore, must avoid making such offers, and can accomplish this by means of an iterated process of reciprocal negotiation under conditions of equality, in which both the INGOs’ and the beneficiaries’ deep values and concerns play a role. In essence, I claim that employing such a process is a requirement of procedural justice, given the non-ideal conditions in which INGOs must operate. (shrink)

Sabine Hohl and Dominic Roser argue that states that emit their fair share of greenhouse gases have a duty to step in for states that emit more than their fair share. In this comment I ask two questions: First, given that Hohl and Roser are right, how relevant is the duty to step in for the polluters in practice? Second, is there such a duty on more non-ideal approaches than the one taken by Hohl and Roser as well? I (...) argue that the duty to step in for the polluters is not very relevant (because of considerations of demandingness and fairness) and that on more extremely non-ideal approaches there may be only a limited duty to take up the slack, or no such duty at all (because the duty must be weighed against other duties, and because states are poorly motivated to act in conformity with it). (shrink)

We seek to elucidate the philosophical context in which the so-called revolution of rigor in inifinitesimal calculus and mathematical analysis took place. Some of the protagonists of the said revolution were Cauchy, Cantor, Dedekind, and Weierstrass. The dominant current of philosophy in Germany at that time was neo-Kantianism. Among its various currents, the Marburg school (Cohen, Natorp, Cassirer, and others) was the one most interested in matters scientific and mathematical. Our main thesis is that Marburg Neo-Kantian philosophy formulated a sophisticated (...) position towards the problems raised by the concepts of limits and infinitesimals. The Marburg school neither clung to the traditional approach of logically and metaphysically dubious infinitesimals, nor whiggishly subscribed to the new orthodoxy of the "great triumvirate" of Cantor, Dedekind, and Weierstrass. Expressed in terms of modern mathematics, the Marburg philosophers saw the introduction of both infinitesimals and limits as completions whose prototype was Dedekind's of the rational number system resulting in the real numbers. At least partially,, this idea of "completions" can be captured in terms of a category-theoretical description of the conceptual development of modern mathematics. The feasibility of such a modern reformuation may be taken as evidence that the philosophical resources of Marburg neo-Kantianism may be of interest even for contemporary philosophy of mathematics. (shrink)

Over the years a few authors have argued that Rawls’s ideal theory of justice is useless for the real world. This criticism has been largely ignored by Rawlsians, but in the light of a recent accumulation of such criticisms, some authors (in particular Holly Lawford-Smith, A. John Simmons, Zofia Stemplowska and Laura Valentini) have tried to defend ideal theory. In this article I will recapitulate the precise problem with Rawls’s ideal theory, argue that some of Rawls’s defenders (...) misconceive it, and show that recent attempts to rescue Rawls’s ideal theory from the charge of being useless fail. While there are useful kinds of ideal theory, Rawls’s is not one of them. In addition, Rawls’s very tentative suggestions for some kind of bridge between ideal and non-ideal theory are contradictory insofar as they implicitly presuppose the non-existence of the problem they are meant to solve. Thus, Rawls’s “non-ideal theory” too, is useless, and not so much a theory at all but a set of ad hoc stipulations. Finally, I will show that certain attempts within the global justice debate to use some variation of the original position to directly derive guidelines for the real world are misguided and yield no useful results. (shrink)

We replace Shelah's notion of true cofinality by the notion of the bounding number for an arbitrary partial order and begin to develop a theory similar to Shelah's pcf theory, which gives many analog results, including the existence of the so-called generators, for the more general case of products of partial orders. The development can be strictly divided into an ideal theoretical and a combinatorial part. We also show that pcf theory is a special case of this (...) more general theory and conclude with some remarks about Shelah's function pp, which also show that there are some differences between pcf theory and the presented theory of bounding numbers. (shrink)

We prove the following version of Hechler's classical theorem: For each partially ordered set (Q, ≤) with the property that every countable subset of Q has a strict upper bound in Q, there is a ccc forcing notion such that in the generic extension for each tall analytic P-ideal J (coded in the ground model) a cofinal subset of (J, ⊆*) is order isomorphic to (Q, ≤).

This paper advances a framework to conceptualize societal care-giving arrangements abstractly. It is abstract in that it brackets the meaning of our particular relationships. This framework, which I call “the arrow of care map”, is a descriptive tracking model that is a necessary component of a theory of justice, but it is not a normative prescription in itself. The basic idea of the map is then multiply specifiable to track various ascriptive identity categories as well as different categories of care (...) labor. In this way, the idea of the arrow of care map serves as a conceptual frame within which to begin to understand every human society’s care-giving arrangement. I characterize it as a component of “ideal theory” insofar as it seeks to clarify our values, without the immediate aim of formulating principles to govern a just society. The resultant partial theory of justice is one that responds to non-ideal theory’s critiques of the ideological nature of liberal contractarianism’s idealizations and abstractions while moving towards new visions of a just society. (shrink)