Philosophers have rightly condemned lookism—that is, discrimination in favor of attractive people or against unattractive people—in education, the justice system, the workplace and elsewhere. Surprisingly, however, the almost universal preference for attractive romantic and sexual partners has rarely received serious ethical scrutiny. On its face, it’s unclear whether this is a form of discrimination we should reject or tolerate. I consider arguments for both views. On the one hand, a strong case can be made that preferring attractive partners is bad. (...) The idea is that choosing partners based on looks seems essentially similar to other objectionable forms of discrimination. (In particular, the preference for attractive partners is arguably both unfair and harmful to a significant degree.) One can try to resist this conclusion in several ways. I consider three possible replies. The first has to do with the possibility of controlling our partner preferences. The second pertains to attractiveness and “good genes”. The last attempts to link certain aspects of attractiveness to a prospective partner’s personality and values. I argue that the first two replies fail conclusively, while the third only amounts to a limited defense of a particular kind of attractiveness preference. So the idea that we should often avoid preferring attractive partners is compelling. (shrink)

We discuss potential biorisks from large language models (LLMs). AI assistants based on LLMs such as ChatGPT have been shown to significantly reduce barriers to entry for actors wishing to synthesize dangerous, potentially novel pathogens and chemical weapons. The harms from deploying such bioagents could be further magnified by AI-assisted misinformation. We endorse several policy responses to these dangers, including prerelease evaluations of biomedical AIs by subject-matter experts, enhanced surveillance and lab screening procedures, restrictions on AI training data, and access (...) controls on biomedical AI. We conclude with a suggestion about future research directions in bioethics. (shrink)

According to a widespread view in metaphysics and philosophy of science, all explanations involve relations of ontic dependence between the items appearing in the explanandum and the items appearing in the explanans. I argue that a family of mathematical cases, which I call “viewing-as explanations”, are incompatible with the Dependence Thesis. These cases, I claim, feature genuine explanations that aren’t supported by ontic dependence relations. Hence the thesis isn’t true in general. The first part of the paper defends this claim (...) and discusses its significance. The second part of the paper considers whether viewing-as explanations occur in the empirical sciences, focusing on the case of so-called fictional models. It’s sometimes suggested that fictional models can be explanatory even though they fail to represent actual worldly dependence relations. Whether or not such models explain, I suggest, depends on whether we think scientific explanations necessarily give information relevant to intervention and control. Finally, I argue that counterfactual approaches to explanation also have trouble accommodating viewing-as cases. (shrink)

The problem of truth in fiction concerns how to tell whether a given proposition is true in a given fiction. Thus far, the nearly universal consensus has been that some propositions are ‘implicitly true’ in some fictions: such propositions are not expressed by any explicit statements in the relevant work, but are nevertheless held to be true in those works on the basis of some other set of criteria. I call this family of views ‘implicitism’. I argue that implicitism faces (...) serious problems, whereas the opposite view is much more plausible than has previously been thought. After mounting a limited defence of explicitism, I explore a difficult problem for the view and discuss some possible responses. (shrink)

Much recent work on mathematical explanation has presupposed that the phenomenon involves explanatory proofs in an essential way. I argue that this view, ‘proof chauvinism’, is false. I then look in some detail at the explanation of the solvability of polynomial equations provided by Galois theory, which has often been thought to revolve around an explanatory proof. The article concludes with some general worries about the effects of chauvinism on the theory of mathematical explanation. 1Introduction 2Why I Am Not a (...) Proof Chauvinist 2.1Proof chauvinism and mathematical practice 2.2Proof chauvinism and philosophy 3An Example: Galois Theory and Explanatory Proof 4Conclusion. (shrink)

Philosophers of science since Nagel have been interested in the links between intertheoretic reduction and explanation, understanding and other forms of epistemic progress. Although intertheoretic reduction is widely agreed to occur in pure mathematics as well as empirical science, the relationship between reduction and explanation in the mathematical setting has rarely been investigated in a similarly serious way. This paper examines an important particular case: the reduction of arithmetic to set theory. I claim that the reduction is unexplanatory. In defense (...) of this claim, I offer evidence from mathematical practice, and I respond to contrary suggestions due to Steinhart, Maddy, Kitcher and Quine. I then show how, even if set-theoretic reductions are generally not explanatory, set theory can nevertheless serve as a legitimate foundation for mathematics. Finally, some implications of my thesis for philosophy of mathematics and philosophy of science are discussed. In particular, I suggest that some reductions in mathematics are probably explanatory, and I propose that differing standards of theory acceptance might account for the apparent lack of unexplanatory reductions in the empirical sciences. (shrink)

Mathematicians distinguish between proofs that explain their results and those that merely prove. This paper explores the nature of explanatory proofs, their role in mathematical practice, and some of the reasons why philosophers should care about them. Among the questions addressed are the following: what kinds of proofs are generally explanatory (or not)? What makes a proof explanatory? Do all mathematical explanations involve proof in an essential way? Are there really such things as explanatory proofs, and if so, how do (...) they relate to the sorts of explanation encountered in philosophy of science and metaphysics? (shrink)

Gauss’s quadratic reciprocity theorem is among the most important results in the history of number theory. It’s also among the most mysterious: since its discovery in the late 18th century, mathematicians have regarded reciprocity as a deeply surprising fact in need of explanation. Intriguingly, though, there’s little agreement on how the theorem is best explained. Two quite different kinds of proof are most often praised as explanatory: an elementary argument that gives the theorem an intuitive geometric interpretation, due to Gauss (...) and Eisenstein, and a sophisticated proof using algebraic number theory, due to Hilbert. Philosophers have yet to look carefully at such explanatory disagreements in mathematics. I do so here. According to the view I defend, there are two important explanatory virtues—depth and transparency—which different proofs (and other potential explanations) possess to different degrees. Although not mutually exclusive in principle, the packages of features associated with the two stand in some tension with one another, so that very deep explanations are rarely transparent, and vice versa. After developing the theory of depth and transparency and applying it to the case of quadratic reciprocity, I draw some morals about the nature of mathematical explanation. (shrink)

A proof P of a theorem T is transferable when a typical expert can become convinced of T solely on the basis of their prior knowledge and the information contained in P. Easwaran has argued that transferability is a constraint on acceptable proof. Meanwhile, a proof P is fixable when it’s possible for other experts to correct any mistakes P contains without having to develop significant new mathematics. Habgood-Coote and Tanswell have observed that some acceptable proofs are both fixable and (...) in need of fixing, in the sense that they contain nontrivial mistakes. The claim that acceptable proofs must be transferable seems quite plausible. The claim that some acceptable proofs need fixing seems plausible too. Unfortunately, these attractive suggestions stand in tension with one another. I argue that the transferability requirement is the problem. Acceptable proofs need only satisfy a weaker requirement I call “corrigibility”. I explain why, despite appearances, the corrigibility standard is preferable to stricter alternatives. (shrink)

In a recent letter, Dillion et. al (2023) make various suggestions regarding the idea of artificially intelligent systems, such as large language models, replacing human subjects in empirical moral psychology. We argue that human subjects are in various ways indispensable.

This is a teaching and learning guide to accompany "Explanation in Mathematics: Proofs and Practice".

Models are indispensable tools of scientific inquiry, and one of their main uses is to improve our understanding of the phenomena they represent. How do models accomplish this? And what does this tell us about the nature of understanding? While much recent work has aimed at answering these questions, philosophers' focus has been squarely on models in empirical science. I aim to show that pure mathematics also deserves a seat at the table. I begin by presenting two cases: Cramér’s random (...) model of the prime numbers and the function field model of the integers. These cases show that mathematicians, like empirical scientists, rely on unrealistic models to gain understanding of complex phenomena. They also have important implications for some much-discussed theses about scientific understanding. First, modeling practices in mathematics confirm that one can gain understanding without obtaining an explanation. Second, these cases undermine the popular thesis that unrealistic models confer understanding by imparting counterfactual knowledge. (shrink)

Recent progress in artificial intelligence (AI) has drawn attention to the technology’s transformative potential, including what some see as its prospects for causing large-scale harm. We review two influential arguments purporting to show how AI could pose catastrophic risks. The first argument — the Problem of Power-Seeking — claims that, under certain assumptions, advanced AI systems are likely to engage in dangerous power-seeking behavior in pursuit of their goals. We review reasons for thinking that AI systems might seek power, that (...) they might obtain it, that this could lead to catastrophe, and that we might build and deploy such systems anyway. The second argument claims that the development of human-level AI will unlock rapid further progress, culminating in AI systems far more capable than any human — this is the Singularity Hypothesis. Power-seeking behavior on the part of such systems might be particularly dangerous. We discuss a variety of objections to both arguments and conclude by assessing the state of the debate. (shrink)

A review of Matt Cook's book Sleight of Mind: 75 Ingenious Paradoxes in Mathematics, Physics, and Philosophy.

Bill D'Alessandro talks to Kenny Easwaran about fractal music, Zoom conferences, being a good referee, teaching in math and philosophy, the rationalist community and its relationship to academia, decision-theoretic pluralism, and the city of Manhattan, Kansas.

This article argues that William James's thinking in The Varieties and elsewhere contains the view that social institutions, such as religious congregations and schools, are mediators between the private and public spheres of life, and are necessary for transforming personal feelings, ideals and beliefs into moral action. The Exercises of St Ignatius and the Just Community moral education approach serve as examples. Criticisms of the more commonly held view that James recognised only individual personal experiences as valid religious expressions (...) are marshalled. Furthermore, we argue that moral action or saintliness, the ultimate expression of religious faith according to James, is fundamentally social. The commonalities that the phenomenologies of moral action of St Ignatius and Lawrence Kohlberg have with William James's view are used to support the argument. (shrink)

Employing the case of the global tuna-fish industry, it is argued that the process of globalization is contested terrain as it opens “free spaces” to some classes or groups and closes “free spaces” to others; that the nation-States' regulatory abilities are weakened; and finally, that while some social movements may gain, others are marginalized. Three basic conclusions are reached. (1) The industry's actions were successfully “contested” by environmental groups supported by the legislative and judicial branches of the US State. (2) (...) Simultaneously, pro-environmental legislation is currently threatened, along with several national and international environmental accords. (3) Workers in the US and, particularly, in Latin America are paying the consequences of the introduction of pro-environmental legislation and the actions of transnational corporations (TNCs). (shrink)

In order to rebuild a useful theory that can aid in producing a profound change from the bottom up, it is fundamental to return to some of Habermas' greatest texts from his first thirty year of research and teaching, written by the Habermas who neo-reactionary and opportunitst Karl Marx considers dangerous because his ideas are too extreme and left-wing"--Page 4 of cover.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

Karl Marx is the most influential political philosopher of the past 150 years. Understanding him is essential to understanding post-WWII Europe, American foreign policy, contemporary China and North Korea, and much of the rhetoric in today's colleges and political circles in the United States. William Dennison's concise volume highlights the key features of Marx's worldview, including several valuable insights. Dennison's critical analysis uncovers Marx's internal contradictions, examines the inherently religious nature of his anti-religious materialism, and documents the horrifying effects (...) of his political philosophyhorrors consistent with Marx's convictions. (shrink)

This is a masterly introduction to the modern, and rigorous, theory of probability. The author emphasises martingales and develops all the necessary measure theory.

Lawrence Kohlberg's Approach to Moral Education presents what the late Lawrence Kohlberg regarded as the definitive statement of his educational theory. Addressing the sociology and social psychology of schooling, the authors propose that school culture become the center of moral education and research. They discuss how schools can develop as just and cohesive communities by involving students in democracy, and they focus on the moral decisions teachers and students face as they democratically resolve problems. As the authors put it: "...we (...) propose an educational renewal of our democratic society.... We have attempted to establish schools that do more than just teach about democratic citizenship, that are themselves democratic societies.". (shrink)

If efforts to deal comprehensively with the supply and demand factors fueling the trade in small arms and light weapons are sustained and expanded over the next decade, rampant small arms proliferation can be contained.

This book is a systematic reconstruction of Heidegger's account of time and temporality in Being and Time. The author locates Heidegger in a tradition of 'temporal idealism' with its sources in Plotinus, Leibniz, and Kant. For Heidegger, time can only be explained in terms of 'originary temporality', a concept integral to his ontology. Blattner sets out not only the foundations of Heidegger's ontology, but also his phenomenology of the experience of time. Focusing on a neglected but central aspect of Being (...) and Time, this book will be of considerable interest to all students of Heidegger both inside and outside philosophy. (shrink)

In Natural Ethical Facts William Casebeer argues that we can articulate a fully naturalized ethical theory using concepts from evolutionary biology and cognitive science, and that we can study moral cognition just as we study other forms of cognition. His goal is to show that we have "softly fixed" human natures, that these natures are evolved, and that our lives go well or badly depending on how we satisfy the functional demands of these natures. Natural Ethical Facts is a (...) comprehensive examination of what a plausible moral science would look like.Casebeer begins by discussing the nature of ethics and the possible relationship between science and ethics. He then addresses David Hume's naturalistic fallacy and G. E. Moore's open-question argument, drawing on the work of John Dewey and W. V. O. Quine. He then proposes a functional account of ethics, offering corresponding biological and moral descriptions. Discussing in detail the neural correlates of moral cognition, he argues that neural networks can be used to model ethical function. He then discusses the impact his views of moral epistemology and ontology will have on traditional ethical theory and moral education, concluding that there is room for other moral theories as long as they take into consideration the functional aspect of ethics; the pragmatic neo-Aristotelian virtue theory he proposes thus serves as a moral "big tent." Finally, he addresses objections to ethical naturalism that may arise, and calls for a reconciliation of the sciences and the humanities. "Living well," Casebeer writes, "depends upon reweaving our ethical theories into the warp and woof of our scientific heritage, attending to the myriad consequences such a project will have for the way we live our lives and the manner in which we structure our collective moral institutions.". (shrink)

In Natural Ethical Facts William Casebeer argues that we can articulate a fully naturalized ethical theory using concepts from evolutionary biology and cognitive science, and that we can study moral cognition just as we study other forms of cognition. His goal is to show that we have "softly fixed" human natures, that these natures are evolved, and that our lives go well or badly depending on how we satisfy the functional demands of these natures. Natural Ethical Facts is a (...) comprehensive examination of what a plausible moral science would look like.Casebeer begins by discussing the nature of ethics and the possible relationship between science and ethics. He then addresses David Hume's naturalistic fallacy and G. E. Moore's open-question argument, drawing on the work of John Dewey and W. V. O. Quine. He then proposes a functional account of ethics, offering corresponding biological and moral descriptions. Discussing in detail the neural correlates of moral cognition, he argues that neural networks can be used to model ethical function. He then discusses the impact his views of moral epistemology and ontology will have on traditional ethical theory and moral education, concluding that there is room for other moral theories as long as they take into consideration the functional aspect of ethics; the pragmatic neo-Aristotelian virtue theory he proposes thus serves as a moral "big tent." Finally, he addresses objections to ethical naturalism that may arise, and calls for a reconciliation of the sciences and the humanities. "Living well," Casebeer writes, "depends upon reweaving our ethical theories into the warp and woof of our scientific heritage, attending to the myriad consequences such a project will have for the way we live our lives and the manner in which we structure our collective moral institutions.". (shrink)