We characterize some large cardinal properties, such as μ-measurability and P 2 (κ)-measurability, in terms of ultrafilters, and then explore the Rudin-Keisler (RK) relations between these ultrafilters and supercompact measures on P κ (2 κ ). This leads to the characterization of 2 κ -supercompactness in terms of a measure on measure sequences, and also to the study of a certain natural subset, Full κ , of P κ (2 κ ), whose elements code measures on cardinals less than κ. (...) The hypothesis that Full κ is stationary (a weaker assumption than 2 κ -supercompactness) is equivalent to a higher order Lowenheim-Skolem property, and settles a question about directed versus chain-type unions on P κ λ. (shrink)

We characterize some large cardinal properties, such as $\mu$-measurability and $P^2(\kappa)$-measurability, in terms of ultrafilters, and then explore the Rudin-Keisler (RK) relations between these ultrafilters and supercompact measures on $P_\kappa(2^\kappa)$. This leads to the characterization of $2^\kappa$-supercompactness in terms of a measure on measure sequences, and also to the study of a certain natural subset, $\mathrm{Full}_\kappa$, of $P_\kappa(2^\kappa)$, whose elements code measures on cardinals less than $\kappa$. The hypothesis that $\mathrm{Full}_\kappa$ is stationary (a weaker assumption than $2^\kappa$-supercompactness) is equivalent to (...) a higher order Lowenheim-Skolem property, and settles a question about directed versus chain-type unions on $P_\kappa\lambda$. (shrink)

Foundation models such as GPT-4 are fine-tuned to avoid unsafe or otherwise problematic behavior, so that, for example, they refuse to comply with requests for help with committing crimes or with producing racist text. One approach to fine-tuning, called reinforcement learning from human feedback, learns from humans' expressed preferences over multiple outputs. Another approach is constitutional AI, in which the input from humans is a list of high-level principles. But how do we deal with potentially diverging input from humans? How (...) can we aggregate the input into consistent data about "collective" preferences or otherwise use it to make collective choices about model behavior? In this paper, we argue that the field of social choice is well positioned to address these questions, and we discuss ways forward for this agenda, drawing on discussions in a recent workshop on Social Choice for AI Ethics and Safety held in Berkeley, CA, USA in December 2023. (shrink)

In this note, we show that a partition of a cake is Pareto optimal if and only if it maximizes some convex combination of the measures used by those who receive the resulting pieces of cake. Also, given any sequence of positive real numbers that sum to one (which may be thought of as representing the players' relative entitlements), we show that there exists a partition in which each player receives either more than, less than, or exactly his or her (...) entitlement (according to his or her measure), in any desired combination, provided that the measures are not all equal. (shrink)

Consider an election in which each of the n voters casts a vote consisting of a strict preference ranking of the three candidates A, B, and C. In the limit as n→∞, which scoring rule maximizes, under the assumption of Impartial Anonymous Culture (uniform probability distribution over profiles), the probability that the Condorcet candidate wins the election, given that a Condorcet candidate exists? We produce an analytic solution, which is not the Borda Count. Our result agrees with recent numerical results (...) from two independent studies, and contradicts a published result of Van Newenhizen (Economic Theory 2, 69–83. (1992)). (shrink)

If K is an index of relative voting power for simple voting games, the bicameral postulate requires that the distribution of K -power within a voting assembly, as measured by the ratios of the powers of the voters, be independent of whether the assembly is viewed as a separate legislature or as one chamber of a bicameral system, provided that there are no voters common to both chambers. We argue that a reasonable index – if it is to be used (...) as a tool for analysing abstract, ‘uninhabited’ decision rules – should satisfy this postulate. We show that, among known indices, only the Banzhaf measure does so. Moreover, the Shapley–Shubik, Deegan–Packel and Johnston indices sometimes witness a reversal under these circumstances, with voter x ‘less powerful’ than y when measured in the simple voting game G1 , but ‘more powerful’ than y when G1 is ‘bicamerally joined’ with a second chamber G2 . Thus these three indices violate a weaker, and correspondingly more compelling, form of the bicameral postulate. It is also shown that these indices are not always co-monotonic with the Banzhaf index and that as a result they infringe another intuitively plausible condition – the price monotonicity condition. We discuss implications of these findings, in light of recent work showing that only the Shapley–Shubik index, among known measures, satisfies another compelling principle known as the bloc postulate. We also propose a distinction between two separate aspects of voting power: power as share in a fixed purse (P-power) and power as influence (I-power). (shrink)

Taking an analytic and historical approach, this work develops and defends Althusserian critical theory. This theory, it is argued, produces knowledge of how a particular class of people, in a particular time, in a particular place, is dominated, oppressed, or exploited. Moreover, without relying on a general notion of human emancipation, concrete critical theory can suggest political means for the alleviation of these conditions. Because it puts Althusser's ideas in dialogue with contemporary social science and philosophy, the book as a (...) whole makes contributions to Althusser studies, to Anglo-American political philosophy, and to current debates in the philosophy of the social sciences. (shrink)

An analysis of the development and range of Adorno's aesthetics, incorporating the influence of other thinkers and musicians.

Critics of SRI have said little about the integrity of corporate representations resulting in screening inclusion or exclusion. This is surprising given social and environmental accounting research that finds corporate posturing and deception in the absence of external verification, and a parallel body of literature describing corporate "greenwashing" and other forms of corporate disinformation. In this paper I argue that the problems and challenges of ensuring fair and accurate corporate social reporting mirror those accompanying corporate compliance with law. Similarities and (...) points of convergence between social reporting and corporate compliance are discussed, along with proposals for reform. (shrink)

Efforts to institutionalize ethics in corporations have been discussed without first addressing the desirability of norm conformity or the possibility that the means used to elicit conformity will be coercive. This article presents a theoretical context, grounded in models of social control, within which ethics initiatives may be evaluated. Ethics initiatives are discussed in relation to variables that already exert control in the workplace, such as environmental controls, organizational controls, and personal controls.

The logical properties of the 'if-then' connective of ordinary English differ markedly from the logical properties of the material conditional of classical, two-valued logic. This becomes apparent upon examination of arguments in conversational English which involve (noncounterfactual) usages of if-then'. A nonclassical system of propositional logic is presented, whose conditional connective has logical properties approximating those of 'if-then'. This proposed system reduces, in a sense, to the classical logic. Moreover, because it is equivalent to a certain nonstandard three-valued logic, its (...) decision procedure is almost as efficient as that of the classical logic. It therefore provides a rational and convenient system in which to formalize English arguments. (shrink)

William S. Robinson has for many years written insightfully about the mind-body problem. In Understanding Phenomenal Consciousness he focuses on sensory experience and perception qualities such as colours, sounds and odours to present a dualistic view of the mind, called Qualitative Event Realism, that goes against the dominant materialist views. This theory is relevant to the development of a science of consciousness which is now being pursued not only by philosophers but by researchers in psychology and the brain sciences. (...) This provocative book will interest students and professionals who work in the philosophy of mind and will also have cross-disciplinary appeal in cognitive psychology and the brain sciences. (shrink)

_Essays on Beauvoir’s influences, contemporary engagements, and legacy in the philosophical tradition._.

Against the Manichees, Augustine argued that sin must involve a free exercise of will. Otherwise it will not count as the agent's own act for which the agent is morally responsible. In the 390's, however, Augustine became convinced that only the first humans sinned by free exercise of will. This view faced him with the question: how is it that unambiguously good agents come to will the evil? Augustine found no satisfactory solution, and the first evil will appears, on his (...) reckoning, to be either a random outcome or due to a withholding of grace. Despite his best efforts, his account of moral agency in evil remains flawed. (shrink)

Horton and Gerrig outlined a memory-based processing model of conversational common ground that provided a description of how speakers could both strategically and automatically gain access to information about others through domain-general memory processes acting over ordinary memory traces. In this article, we revisit this account, reviewing empirical findings that address aspects of this memory-based model. In doing so, we also take the opportunity to clarify what we believe this approach implies about the cognitive psychology of common ground, and just (...) as important, what it does not imply. We also highlight related areas of research demonstrating how general cognitive processes can constrain access to relevant knowledge in ways that shape both language production and comprehension. (shrink)

In this essay I will examine the development of the notion of transcendence in Blanchot's early critical writings. Doing so indicates the radical way that Blanchot reconfigures this central ontological and theological term by way of his readings of the literary use of language. In turn this exposes the essential relation between finitude and literature, something which the second part of the essay will examine by way of Heidegger's study of the myth of Er.

First-order logic. The origin of modern foundational studies. Frege's system and the paradoxes. The teory of types. Zermelo-Fraenkel set theory. Hilbert's program and Godel's incompleteness theorems. The foundational systems of W.V. Quine. Categorical algebra.

Examines poetic language in the work of Heidegger, Hölderlin, and Blanchot.

This article defends epiphenomenalism against criticisms raised in Dwayne Moore’s “On Robinson’s Response to the Self-Stultifying Objection”.

Consideration of the work of Sade in relation to Adorno usually refers to the much-discussed chapter from Dialektik der Aufklärung. But Adorno made a number of other remarks across his career that suggest a very different reading. I will discuss the three most significant of these remarks and show how they develop an approach to the libidinal aspect of aesthetic experience that challenges our understanding of the relation of thought and language. In doing so, Sade’s works indicate an extraordinary liberation (...) of the dialectic of natural-history through a mimesis of desire, which is made apparent in what Sade’s texts literally present; in their contingency and also their facticity. (shrink)

Unlike his other fictional works Blanchot’s 1953 narrative Celui qui ne m’accompagnait pas has received comparatively little attention. The reasons for this would seem to lie in the intense abstraction of his writing in this work, which is forbidding even by his own standards, but as I will show, this intensity can be understood as comprising a singular topography of the experience of writing. Blanchot’s narrative thereby becomes a very precise and concrete form of aesthetics, which can be usefully compared (...) to the understandings of melancholy developed by Benjamin and Adorno, but transposed into a more stringent modernist context. (shrink)

Silent thinking is often accompanied by subvocal sayings to ourselves, imagery, emotional feelings, and non-sensory experiences such as familiarity, rightness, and confidence that we can go on in certain ways. Phenomenological materials of these kinds, along with our dispositions to give explanations or draw inferences, provide resources that are sufficient to account for our knowledge of what we think, desire, and so on. We do not need to suppose that there is a distinctive, non-imagistic 'what it is like' to think (...) that p, and a different non-imagistic 'what it is like' to think that q. Nor need we suppose that there is a proprietary 'what it is like' to have one propositional attitude type rather than another. (shrink)

Contemporaries often reject epiphenomenalism out of hand, while Russellian Monism is regarded as worthy of further development. It is argued here that this difference of attitudes is indefensible, because the easy rejection of EPI is due to its violating a certain Causal Intuition, and RM implicitly violates that same intuition. An enriched version of RM mitigates the violation, but the same mitigation results if we make a parallel enrichment of EPI. If RM and EPI are approached on a level playing (...) field, it is not obvious which will prove to be the better view. (shrink)

Silent thinking is often accompanied by subvocal sayings to ourselves, imagery, emotional feelings, and non-sensory experiences such as familiarity, rightness, and confidence that we can go on in certain ways. Phenomenological materials of these kinds, along with our dispositions to give explanations or draw inferences, provide resources that are sufficient to account for our knowledge of what we think, desire, and so on. We do not need to suppose that there is a distinctive, non-imagistic ‘what it is like’ to think (...) that p, and a different non-imagistic ‘what it is like’ to think that q. Nor need we suppose that there is a proprietary ‘what it is like’ to have one propositional attitude type rather than another. (shrink)

This book presents and survey of the foundations of mathematics. The emphasis is on a mathematical comparison of systems rather than on any exhaustive development of analysis within a single system. Nevertheless, for most systems considered, enough details are given for the development of arithmetic, and the method of constructing the other notions of analysis is indicated. The elements of the general theory of cardinal and ordinal numbers are also furnished in the course of this work.

The formal systems of logic have ordinarily been regarded as independent of biology, but recent developments in evolutionary theory suggest that biology and logic may be intimately interrelated. In this book, William Cooper outlines a theory of rationality in which logical law emerges as an intrinsic aspect of evolutionary biology. This biological perspective on logic, though at present unorthodox, could change traditional ideas about the reasoning process. Cooper examines the connections between logic and evolutionary biology and illustrates how logical (...) rules are derived directly from evolutionary principles, and therefore have no independent status of their own. Laws of decision theory, utility theory, induction, and deduction are reinterpreted as natural consequences of evolutionary processes. Cooper's connection of logical law to evolutionary theory ultimately results in a unified foundation for an evolutionary science of reason. It will be of interest to professionals and students of philosophy of science, logic, evolutionary theory, and cognitive science. (shrink)

In a careful exposition of French Marxism, William Lewis places Althusser and his thought alongside the pre- and post-war French communist intellectual climate: the result is an excellent and unique work. Part theoretical treatise on some of Althusser's more complicated and less explored ideas, part intellectual history, Louis Althusser and the Traditions of French Marxism is, in total, an important text for philosophy, French and francophone studies, political thought, cultural studies, marxist thought, and several other disciplines interested in the (...) intellectual life and times of the twientieth century. (shrink)

Le Dernier Homme is Blanchot’s last narrative or récit. Afterwards, he would begin to write in a more fragmentary mode, which suggests that he may have felt that the narrative form had been pushed as far it could in this work. This point of extremity is marked in particular by the monotonous style for which he has become notorious. This essay examines why this style arises, and how it leads to an extreme that can be usefully contrasted with Barthes’s notion (...) of écriture blanche. It becomes apparent that the blankness of this writing is not innocent but arises as noise for Blanchot, which not only manifests the material attenuation of the narrative but also its relation with the dead. (shrink)

_Examines poetic language in the work of Heidegger, Hölderlin, and Blanchot._.

In this article we challenge the notion that diversity serves as a good proxy for educational justice. First, we maintain that the story about how diversity might be accomplished and what it might do for students and society is internally inconsistent. Second, we argue that a disproportionate share of the benefits that might result from greater diversity often accrues to those already advantaged. Finally, we propose that many of the most promising and pragmatic remedies for educational injustice are often rejected (...) by liberal proponents of “diversity first” in favor of remedies that in most cases are practically impossible, and often problematic on their own terms. We argue that schools that are by geography and demography not ethnically or socioeconomically diverse still can successfully confront the obstacles that their students face in creating a life they have reason to value. (shrink)