We describe a recipe for generating normal ideals on successors of singular cardinals. We show that these ideals are related to many weakenings of □ that have appeared in the literature. Our main purpose, however, is to provide an organized list of open questions related to these ideals.

It is common to think that state enforcement is a restriction on freedom that is morally permitted or justified because of the unfortunate circumstances in which we find ourselves. Human frailty and material scarcity combine to make the compromise of freedom involved in exclusive state enforcement power necessary for other freedoms or other goods. In the words of James Madison, ‘if men were angels, no government would be necessary’ (1990: 267). But there is an opposing tradition, according to which the (...) very idea of freedom in society entails the necessity of state enforcement. However morally good human beings are, or whatever material conditions they find themselves in, on this view, the ideal of freedom we ought to be concerned to realise is such that it cannot be attained without state enforcement. It follows a priori from an important ideal of freedom that a state with exclusive enforcement power is necessary for individual liberty in society. In this paper, I argue against what I take to be the strongest argument of the a priori kind, which begins from the neo-republican ideal of freedom as non-domination, and thereby in (partial) defence of the alternative, Madisonian, view. Insofar as it is true that some sort of problematic domination will inevitably be present in a stateless society, I argue, the introduction of a state can do nothing to eliminate it. For the state to improve on even an ideal stateless society, it would need to give individuals control over the interference of potential dominators of a sort that could not be achieved in the ideal stateless society. -/- . (shrink)

In this paper, I explore how the ideal rationality-based account of propositional justification impacts our understanding of the relation between propositional and doxastic justification. The ideal rationality-based account sits uncomfortably with the widely accepted claim that propositional justification is necessary for doxastic justification. In particular, the combination of the necessity claim and the ideal rationality-based account of propositional justification entails that some plausible doxastic attitudes are doxastically unjustified and thereby severs epistemic justification from connections with epistemic responsibility and the (...) competent formation of beliefs. Thus, those who endorse both the necessity claim and the ideal rationality-based account of propositional justification will be forced to give up either their account of propositional justification or the necessity claim. I argue that there is good reason to give up the ideal rationality-based account of propositional justification instead of the necessity claim. This result indicates that an adequate account of propositional justification should be sensitive to the agent’s cognitive capacities. If propositional justification should be understood in this way, then the widely accepted explanation of doxastic justification in terms of propositional justification is not promising either. This is because an agent’s cognitive capacities and limitations play a prominent role in understanding propositional justification. Instead, I argue that, at the explanatory level, propositional justification relies on doxastic justification. (shrink)

Building upon earlier work of Donna Carr, Don Pelletier, Chris Johnson, Shu-Guo Zhang and others, we show that a normal ideal J on Pκ is strongly normal if and only if J+→< 2 for every μ < κ, and we describe the least normal ideal J on Pκ such that J+ →< 2.

It is a theorem of Rowbottom [12] that ifκis measurable andIis a normal prime ideal onκ, then for eachλ<κ,In this paper a natural structural property of ideals, distributivity, is considered and shown to be related to this and other ideal theoretic partition relations.The set theoretical terminology is standard and background results on the theory of ideals may be found in [5] and [8]. Throughoutκwill denote an uncountable regular cardinal, andIa proper, nonprincipal,κ-complete ideal onκ.NSκis the ideal of nonstationary subsets ofκ, andIκ= (...) {X⊆κ∣∣X∣<κ}. IfA∈I+ −I), then anI-partitionofAis a maximal collectionW⊆,P ∩I+so thatX∩ Y ∈IwheneverX, Y∈W, X≠Y. TheI-partitionWis said to be disjoint if distinct members ofWare disjoint, and in this case, fordenotes the unique member ofWcontainingξ. A sequence 〈Wα∣α<η} ofI-partitions ofAis said to be decreasing if wheneverα<β<ηandX∈Wβthere is aY∈Wαsuch thatX⊆Y.. (shrink)

Using previous work of Baumgartner, Shelah and others, we describe, for each infinite cardinal θκ, the smallest κ-normal ideal J on Pκ such that.

Working under large cardinal assumptions such as supercompactness, we study the Borel reducibility between equivalence relations modulo restrictions of the nonstationary ideal on some fixed cardinal κ. We show the consistency of Eλ-clubλ++,λ++, the relation of equivalence modulo the nonstationary ideal restricted to Sλλ++ in the space λ++, being continuously reducible to Eλ+-club2,λ++, the relation of equivalence modulo the nonstationary ideal restricted to Sλ+λ++ in the space 2λ++. Then we show that for κ ineffable Ereg2,κ, the relation (...) of equivalence modulo the nonstationary ideal restricted to regular cardinals in the space 2κ is Σ11-complete. We finish by showing that, for Π21-indescribable κ, the isomorphism relation between dense linear orders of cardinality κ is Σ11-complete. (shrink)

In this article Doret J. de Ruyter and Anders Schinkel argue that parents' ideals can enhance children's autonomy, but that they may also have a detrimental effect on the development of children's autonomy. After describing the concept of ideals and elucidating a systems theoretical conception of autonomy, de Ruyter and Schinkel explore the ways in which the ideals of parents may play a role in the development of their children's autonomy. They show that abstract and complex ideals of parents (be (...) it ideals for their children, ideals with regard to their parenthood, or their personal ideals) are most likely to enhance their children's autonomy. They also explain that an authoritative parenting style is most conducive to autonomy, although whether or not it does benefit children's autonomy also depends on the types of ideals pursued by parents. (shrink)

In recent decades political philosophers have increasingly been engaged with the issue of educational equality. However, egalitarians typically focus on achieving equality in the distribution of education, and ignore the relevance of an alternative, relational conception of equality. An exception to this is Elizabeth Anderson, who applies relational egalitarian principles to education in her 2007 article ‘Fair Opportunity in Education: A Democratic Equality Perspective’. Although Anderson remains one of the few relational egalitarians to consider what this ideal requires in education, (...) her arguments have received less attention than they deserve. In this article I examine Anderson's theory of fair educational opportunities for a democratic society of equals and develop an internal critique of her approach. I suggest that the sufficientarian standard Anderson proposes for education has the propensity to undermine the process of integration and the relations of equality she aspires to. Even if all children receive a sufficient education, inequality above the threshold could result in social divisions and status differentials that encourage informal segregation because people typically prefer to associate with other people who are similar to themselves. The article will finish by considering what implications this has for Anderson's relational egalitarian approach to education. (shrink)

As Friedman has argued, Kant's argument for the ideality of space turns on the nondeductive character of geometrical reasoning in Euclid's system. Since geometry can be axiomatized, this argument fails. But ("pace" Russell) Leibniz's argument based on the unreality of constitutive relations is not thereby answered as well. I argue that what is needed in response to Leibniz is a properly post-Kantian conception of concepts as inferentially articulated. This conception, I suggest, is based on the same fundamental insight that underlies (...) the axiomatization of geometry. (shrink)

Based on three recently published books on climate justice, this article reviews the field of climate ethics in light of developments of international climate politics. The central problem addressed is how idealised normative theories can be relevant to the political process of negotiating a just distribution of the costs and benefits of mitigating climate change. I distinguish three possible responses, that is, three kinds of non-ideal theories of climate justice: focused on (1) the injustice of some agents not doing their (...) part; (2) the policy process and aiming to be realistic; and (3) grievances related to the transition to a clean-energy economy. The methodological discussion underpinning each response is innovative and should be of interest more generally, even though it is still underdeveloped. The practical upshot, however, is unclear: even non-ideal climate justice may be too disconnected from the fast-moving and messy climate circus. (shrink)

We define in precise terms the basic properties that an ‘ideal propositional paraconsistent logic’ is expected to have, and investigate the relations between them. This leads to a precise characterization of ideal propositional paraconsistent logics. We show that every three-valued paraconsistent logic which is contained in classical logic, and has a proper implication connective, is ideal. Then we show that for every n > 2 there exists an extensive family of ideal n -valued logics, each one of which is not (...) equivalent to any k -valued logic with k < n. (shrink)

In 2005, Charles Mills published “‘Ideal Theory’ as Ideology” in Hypatia: a withering critique of much of contemporary political philosophy and ethics. For Mills such work in philosophy failed to attend to the realities of social life and politics, and in remaining silent on actual issues of domination and oppression served an ideological role in supporting the interests of white bourgeois men. Around the time that Charles Mills launched his broadside against ideal theory, trans theorists had been fighting their own (...) battle against the abstraction of theory from the realities of trans lives and oppression. Vivian Namaste (2000) and Jay Prosser (1998) argued that contemporary gender theory failed to justice to the actuality of trans life, retreating instead to understanding trans life through literary archetypes and idealized radical figures. In this chapter I’ll compare Mills’ critique of ideal theory with the transfeminist critique of 1990s gender theory, arguing that they share much in common. Centrally, both critiques share an underlying commitment to theory needing to be grounded in the actuality of oppression and power relations. This common thread, I suggest, must continue to guide transfeminist thought and action: contra Marquis Bey (2022) transfeminist thought and praxis must continue to be about trans lives, about the oppression of trans women, and about ways of actually achieving liberation from our current dire position. (shrink)

In this article I address the idea that in Husserl’s eidetic ontology all possibilities are fixed ‘in advance’ so that actual objects and events—despite their contingency—can only ever unfold possibilities that are ‘permitted’ to them by their essences. I show how this view distorts Husserl’s ontology and argue that this distortion stems from a misconstrual of the relations between essences and facts, and between ideal and real possibilities. These ‘local’ misconstruals reflect, I contend, a ‘global’ misunderstanding that mistakes descriptive distinctions (...) for ‘real’ separations, and that remains indebted to a non-Husserlian understanding of the a priori–a posteriori-distinction. In support of this argument, I first lay out the relevant objection to Husserl’s eidetics as I understand it. Then, I clarify the relation between ideal and real possibilities in the context of Husserl’s eidetics as I see it. Finally, I make a general point about the status of Husserl’s ontological differentiations ‘in the midst of life,’ namely in how what they differentiate is effective and (tacitly) manifest ever only as one moment (amongst many) of the complex whole that is a concrete life of consciousness. I end with some remarks on what this might mean for future phenomenological research on the imagination. (shrink)

In this paper, I first outline the view developed in my recent book on the role of idealization in scientific understanding. I discuss how this view leads to the recognition of a number of kinds of variability among scientific representations, including variability introduced by the many different aims of scientific projects. I then argue that the role of idealization in securing understanding distances understanding from truth, but that this understanding nonetheless gives rise to scientific knowledge. This discussion will (...) clarify how my view relates to three other recent books on understanding by Henk de Regt, Catherine Elgin, and Kareem Khalifa. (shrink)

The concept of Galilean Idealization is based on a pragmatically grounded relation between universes of so-called real and idealized entities. The concept was developed in the course of a critical discussion of different explications of the concept of idealization (e.g. by W. F. Barr, C. G. Hempel and L. Nowak), these being attempts to specify sufficient syntactic and semantic criterions for idealization. But this line of argument shall not be followed here. Instead, first the concept of (...) Pragmatic Idealization, and as its special case the Galilean one, is presented (1.) and certain aspects of the application of an idealized theory are discussed (2.). Then, working within the Strucuralist View of theories, definitions of the idealized variants of the diachronic theory-element and theory-net are presented (3.). (shrink)

Made popular by John Rawls, ideal theory in political philosophy is concerned with putting preferences and interests to one side to achieve an impartial consensus and to arrive at a just society for all. In recent years, ideal theory has drawn increasing criticism for its idealised picture of political philosophy and its inability to account for the challenges posed by inequalities of, for example, race, gender, and class and by structural injustices stemming from colonialism and imperialism. The Routledge Handbook of (...) Non-Ideal Theory is the first handbook or reference source on this important and fast-growing debate. -/- Comprised of 34 chapters by an international team of contributors, the Handbook is divided into three clear parts: -/- Methodological Challenges Intersections Applied Issues and Contemporary Challenges. Within these sections key topics are addressed including: the question of whether non-ideal theory is methodologically linked to ideal theory; its intersection with feminist philosophy, critical race theory, decolonial theory, and critical theory; its characteristic features; the role of the non-ideal theorist; its relation to activism; and its application in the context of disability and health studies, climate justice, global injustices, colonialism and many more. As well as a comprehensive introduction which provides important background to the debate between ideal and non-ideal theory, the handbook also features a contribution by the late philosopher Charles Mills on non-ideal theory as ideology. -/- The Routledge Handbook of Non-Ideal Theory is essential reading for students and scholars of political philosophy, ethics and political theory and will also be of interest to those studying and researching related subjects such as gender, race and social justice. (shrink)

Ideal epistemologists investigate the nature of pure epistemic rationality, abstracting away from human cognitive limitations. Non-ideal epistemologists investigate epistemic norms that are satisfiable by most humans, most of the time. Ideal epistemology faces a number of challenges, aimed at both its substantive commitments and its philosophical worth. This paper explains the relation between ideal and non-ideal epistemology, with the aim of justifying ideal epistemology. Its approach is meta-epistemological, focusing on the meaning and purpose of epistemic evaluations. I provide an (...) account on which the fundamental difference between ideal and non-ideal epistemic evaluations is that only the non-ideal epistemic ‘ought’ implies any substantive ‘can’. I argue that only ideal epistemic evaluations are ‘normatively robust’: they are neither conventional nor seriously context-sensitive. Non-ideal epistemic evaluations are normatively non-robust, exhibiting both conventionality and serious context-sensitivity from an interesting variety of distinct sources. For this reason, non-ideal epistemic evaluations won’t characterize the fundamental nature of epistemic rationality. Non-ideal epistemic rationality depends, not merely on what’s epistemically valuable, but also on modally contingent epistemic conventions and contextually contingent constraints on epistemic options. If we want a normatively robust theory of epistemic rationality, ideal epistemology is the only game in town. (shrink)

According to many in the West, the liberalizing effects of North America’s free market ideals will generate equality and justice worldwide. I hold that we should be critical of those who justify imposing liberal democratic ideals on underdeveloped nations by simply suggesting that they promote equality and justice. In the West, entrenched disparities have shaped liberal ideals in ways that make inequality and injustice look natural and normal. Indeed, gender, class, and racial oppression have existed right alongside liberal democratic ideals. (...) If liberal ideals can be molded to make inequality and injustice look natural and normal in the West, then these same ideals can justify economic interactions, technology transfers, military cooperation, and mutual benefit agreements that sustain global inequality and injustice. (shrink)

The rise in the recent Western pattern of surrogate decision making is not a necessary result of an increase in the number of elderly with decreased competence; it may rather manifest the dominant Western vision of human life and relations. From a comparative philosophical standpoint, the Western pattern of medical decision making is individualistic, while the Chinese is familistic. These two distinct patterns may reflect two different comprehensive perspectives on human life and relations, disclosing a foundational difference that can be (...) seen in the Aristotelian account of friendship and the Confucian account of humanity. The contemporary development of surrogate decision making in the West may illustrate a general tendency toward the Aristotelian account, while the Chinese approaches are congruent with the Confucian view. Also explored are some merits of the Chinese approach to family decision making for health care. (shrink)