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)

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)

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)

Foundation models such as GPT-4 are fine-tuned to avoid unsafe or otherwise problematic behavior, such as helping to commit crimes or 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)

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)

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)

By comparing mechanisms in nativism, empiricism, and culturalism, the target article by Steels & Belpaeme (S&B) emphasizes the influence of communicational constraint on sharing color categories. Our commentary suggests deeper considerations of some of their claims, and discusses some modifications that may help in the study of communicational constraints in both humans and robots.

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)

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)

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 paper argues that the reading of Althusser which finds a pronounced continuity in his conception of the relations among science, philosophy, and politics is the correct one, this essay will begin with an examination of Althusser’s “scientism.” The meaning of this term (one that differs slightly from contemporary usages) will be specified before showing how and in what way Althusser’s political philosophy between 1960 and 1980 can be described as “scientistic.” The next section details the important political role Althusser (...) assigned to the sciences and particularly to the science of historical materialism during this period. This accomplished, the arguments of interpreters who emphasize the apparent difference in Althusser’s attitude towards science before and after 1980 will be considered. Here, possible reasons for such a reading will be rehearsed. Next, with the support of recently published and archival documents, this essay will engage in a close and comparative reading of Althusser’s texts from the 1970s and 1980s that have as their subject the relations among philosophy, science, and politics. This survey will show the continuity in Althusser’s position vis-à-vis the sciences: namely, that if we want good (i.e. desired) socio-politico-economic changes to result from our political actions, then it is necessary to engage in social scientific research or, at the very least, to consult such research and to use this knowledge in our political decision making. All this serves to support the conclusion that Althusser’s “new” political philosophy from the 1980s is not really so new. On the contrary, his writings on the materialism of the encounter and aleatory materialism represent prolongations and elaborations of positions and ideas already developed in the 1960s and 1970s and that include a mostly consistent understanding of the relations between scientific knowledge and political action. This is true even if the rhetorical and philosophical style in which these ideas are put forth in the 1980s differs from the ways in which these ideas were introduced during the prior two decades. (shrink)

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)

Exploration of Alfred North Whitehead's influence on Maurice Merleau-Ponty's ontology of nature.

Plato's Sophist provides a careful translation of the Sophist, one of Plato's most complex and difficult dialogues, and includes materials designed to facilitate its usefulness as a text in college courses. The translation employs a minimum of interpretative paraphrasing while being presented in clear, readable English. Special attention has been given to consistency in translating key Greek terms. The book presents a special list of these terms and discusses them in the endnotes. The result is a translation that enables the (...) reader who lacks a knowledge of Greek to get much closer than usual to the original text. Cobb's introduction contains a detailed summary of the entire dialogue, clarifying the main themes and the general structure. He offers a fresh interpretation of the dialogue that shows how each theme contributes to the exploration of the nature of, and the relation between, philosophy and sophistry. The introduction is particularly useful to first readers of the Sophist. (shrink)

_Exploration of Alfred North Whitehead's influence on Maurice Merleau-Ponty's ontology of nature._.

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.

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)

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

In the extensive study, Systems of Ethics and Value Theory, author William S. Sahakian deconstructs these two complex philosophical systems for a scholarly audience.

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)

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.

This essay takes a synthetic and critical approach to the scattered pieces of art criticism and aesthetic theory authored by Louis Althusser. Connecting these texts to his larger philosophical and political project, we argue that these reflections make an independent contribution to its worth and that they offer different perspectives on lingering theoretical problems. We piece together the insights that form the core of the Althusserian approach to aesthetics and show how these are formulated (in connection with the work of (...) Pierre Macherey as well as the dominant controversies of the time) and trace how their formulations take shape in relation to the work of different authors and artists. In addition to helping us better understand his overall project, Althusser’s aesthetic theory is, we argue, a powerful and original contribution to Marxist aesthetics. Specifically, it points us to the idea that we need to take aesthetic production seriously as a practice with its own specificity - one that has its own logics of determination, rituals of production, circulation, and consumption, one that commands effects that need to be theorized on their own terms. (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.

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)

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)

This book summarizes an introductory course in the history of philosophy, presenting the chronology of philosophical thought from ancient times to the present. For each of the great philosophers the text explores the backgrounds of his thinking and shows how his point of view fits into the stream of philosophical ideas form the dawn of history to contemporary times. The book discusses the entire system of each philosopher epistemology and logic; ethics and philosophies of life; political and legal philosophy; the (...) philosophy of religion and metaphysics. All the main philosophers studied in an introductory course are included. (shrink)