In this paper, I explore some parallels and dissimilarities between aesthetic appreciation that takes as its focus art objects and that which focuses on natural objects. I cover three areas. The first deals with general approach, whether a paradigm of engagement is more appropriate to environmental aesthetics than one of detachment and disinterest. The second theme is about preservation and whether the appropriate model is static or dynamic. The final theme is about environmental criticism and the application of aesthetic theory (...) to arguments for preservation. (shrink)

ABSTRACTIn this paper I investigate how conceptual engineering applies to mathematical concepts in particular. I begin with a discussion of Waismann’s notion of open texture, and compare it to Shapiro’s modern usage of the term. Next I set out the position taken by Lakatos which sees mathematical concepts as dynamic and open to improvement and development, arguing that Waismann’s open texture applies to mathematical concepts too. With the perspective of mathematics as open-textured, I make the case that this allows us (...) to deploy the tools of conceptual engineering in mathematics. I will examine Cappelen’s recent argument that there are no conceptual safe spaces and consider whether mathematics constitutes a counterexample. I argue that it does not, drawing on Haslanger’s distinction between manifest and operative concepts, and applying this in a novel way to set-theoretic foundations. I then set out some of the questions that need to be engaged with to establish mathematics as involving a kind of conceptual engineering. I finish with a case study of how the tools of conceptual engineering will give us a way to progress in the debate between advocates of the Universe view and the Multiverse view in set theory. (shrink)

Derivationists, those wishing to explain the correctness and rigour of informal proofs in terms of associated formal proofs, are generally held to be supported by the success of the project of translating informal proofs into computer-checkable formal counterparts. I argue, however, that this project is a false friend for the derivationists because there are too many different associated formal proofs for each informal proof, leading to a serious worry of overgeneration. I press this worry primarily against Azzouni's derivation-indicator account, but (...) conclude that overgeneration is a major obstacle to a successful account of informal proofs in this direction. (shrink)

Adult number representations can belong to either of two types. One is discrete, language-specific, and culturally-derived; the other is analog and language-independent. Quantitative evidence is presented to demonstrate that analog number representations are adult-like in young children. Five- to 7-year-olds accurately estimated rapidly presented groups of 5--11 items. Groups were presented in random order and random arrangements controlling for overall area. Children's data were qualitatively, and to some degree quantitatively, similar to adult data with one exception: the ratio of the (...) standard deviation of estimates to mean estimates decreased with age. (shrink)

What sorts of epistemic virtues are required for effective mathematical practice? Should these be virtues of individual or collective agents? What sorts of corresponding epistemic vices might interfere with mathematical practice? How do these virtues and vices of mathematics relate to the virtue-theoretic terminology used by philosophers? We engage in these foundational questions, and explore how the richness of mathematical practices is enhanced by thinking in terms of virtues and vices, and how the philosophical picture is challenged by the complexity (...) of the case of mathematics. For example, within different social and interpersonal conditions, a trait often classified as a vice might be epistemically productive and vice versa. We illustrate that this occurs in mathematics by discussing Gerovitch’s historical study of the aggressive adversarialism of the Gelfand seminar in post-war Moscow. From this we conclude that virtue epistemologies of mathematics should avoid pre-emptive judgments about the sorts of epistemic character traits that ought to be promoted and criticised. (shrink)

We investigate how epistemic injustice can manifest itself in mathematical practices. We do this as both a social epistemological and virtue-theoretic investigation of mathematical practices. We delineate the concept both positively—we show that a certain type of folk theorem can be a source of epistemic injustice in mathematics—and negatively by exploring cases where the obstacles to participation in a mathematical practice do not amount to epistemic injustice. Having explored what epistemic injustice in mathematics can amount to, we use the concept (...) to highlight a potential danger of intellectual enculturation. (shrink)

This thesis is about the nature of proofs in mathematics as it is practiced, contrasting the informal proofs found in practice with formal proofs in formal systems. In the first chapter I present a new argument against the Formalist-Reductionist view that informal proofs are justified as rigorous and correct by corresponding to formal counterparts. The second chapter builds on this to reject arguments from Gödel's paradox and incompleteness theorems to the claim that mathematics is inherently inconsistent, basing my objections on (...) the complexities of the process of formalisation. Chapter 3 looks into the relationship between proofs and the development of the mathematical concepts that feature in them. I deploy Waismann's notion of open texture in the case of mathematical concepts, and discuss both Lakatos and Kneebone's dialectical philosophies of mathematics. I then argue that we can apply work from conceptual engineering to the relationship between formal and informal mathematics. The fourth chapter argues for the importance of mathematical knowledge-how and emphasises the primary role of the activity of proving in securing mathematical knowledge. In the final chapter I develop an account of mathematical knowledge based on virtue epistemology, which I argue provides a better view of proofs and mathematical rigour. (shrink)

In this paper we apply social epistemology to mathematical proofs and their role in mathematical knowledge. The most famous modern collaborative mathematical proof effort is the Classification of Finite Simple Groups. The history and sociology of this proof have been well-documented by Alma Steingart (2012), who highlights a number of surprising and unusual features of this collaborative endeavour that set it apart from smaller-scale pieces of mathematics. These features raise a number of interesting philosophical issues, but have received very little (...) attention. In this paper, we will consider the philosophical tensions that Steingart uncovers, and use them to argue that the best account of the epistemic status of the Classification Theorem will be essentially and ineliminably social. This forms part of the broader argument that in order to understand mathematical proofs, we must appreciate their social aspects. (shrink)

LEGO and math are both about what one do with the objects. In LEGO, he/she can build sets following the instructions, or alternatively dump a whole bunch of LEGO on the floor and build whatever he/she like. In math, he/she have a similar freedom to create new things, solve problems, and play around. Geometry makes far greater use of pictures and diagrams than tends to be the case for other areas of mathematics. This chapter focuses on diagrammatic proofs as a (...) key case where proofs guide him/her through a series of actions. If one accepts the LEGO account of diagrammatic proofs then he/she has strongly sided with the geometers against Plato. The main principle of departure from Plato is to focus on mathematical activities. The same thought is meant to apply to LEGO: the particular bricks are only important insofar as they facilitate the things we can practically do with them. (shrink)

Extinction is a concept of rapidly growing importance, with the world currently in the sixth mass extinction event and a biodiversity crisis. However, the concept of extinction has itself received surprisingly little attention from philosophers. I will first argue that in practice there is no single unified concept of extinction, but instead that its usage divides between descriptive, epistemic, and declarative concepts. I will then consider the epistemic challenges that arise in ascertaining whether a species has gone extinct, and how (...) these lead to serious limitations on responsibility and accountability for preventing extinctions. I will propose two conceptual engineering changes to our understanding of extinction. Firstly, to use twin epistemic concepts of extinction, corresponding to high and low epistemic demands. Secondly, to explicitly recognize that in many contexts extinction is a thick concept that contains an evaluative component, which therefore motivates explicit ethical considerations such as the use of precautionary principles. (shrink)

In this paper I shall consider two related avenues of argument that have been used to make the case for the inconsistency of mathematics: firstly, Gödel’s paradox which leads to a contradiction within mathematics and, secondly, the incompatibility of completeness and consistency established by Gödel’s incompleteness theorems. By bringing in considerations from the philosophy of mathematical practice on informal proofs, I suggest that we should add to the two axes of completeness and consistency a third axis of formality and informality. (...) I use this perspective to respond to the arguments for the inconsistency of mathematics made by Beall and Priest, presenting problems with the assumptions needed concerning formalisation, the unity of informal mathematics and the relation between the formal and informal. (shrink)

A common description of a mathematical proof is as a logically structured sequence of assertions, beginning from accepted premises and proceeding by standard inference rules to a conclusion. Does this description match the language of proofs as mathematicians write them in their research articles? In this chapter, we use methods from corpus linguistics to look at the prevalence of imperatives and instructions in mathematical preprints from the arXiv repository. We find thirteen verbs that are used most often to form imperatives (...) in proofs, and that these show up significantly more often within proofs than in the surrounding mathematical writing. We also show that there are many more verbs used to form a diverse selection of instructions in proofs. These findings are at odds with the view of proofs as sequences of assertions. Instead, we argue in favour of the recipe model of proofs: that proofs are like recipes, giving instructions for mathematical actions to be carried out. (shrink)

This paper has two aims. The first is to present and defend a new argument for rights contributionism – the view that the notion of a moral claim-right is a contributory (or pro tanto) rather than overall normative notion. The argument is an inference to the best explanation: it is argued that (i) there are contributory moral factors that contrast with standard moral reasons by way of having a number of formal properties that are characteristic of rights, even though they (...) can be overridden, and (ii) that this is best explained by a view that takes these factors to correlate with rights. The second aim is to show that the truth of rights contributionism matters for normative ethics. More specifically, it is argued that rights contributionism clears the way for deontologists to justify the pre-theoretically plausible verdict that we have a duty to save the greater number in so-called Taurek scenarios – scenarios in which we have to choose between saving either a greater or a smaller number of different people. The chapter offers a novel and distinctively deontological explanation of this verdict that is based on the assumption that everyone has a pro tanto right to be saved in a Taurek scenario. (shrink)

Sells encourages a radical departure from the usual introspection and self-centeredness of psychology in our time. By placing style first, Sells argues that we must turn our eyes and minds outward to the greater world. Emphasizing beauty over emotion and appreciation over feeling, he attempts to break the stranglehold of the self so as to reconstitute our proper place among the many things of the world.

v. 1. Charmides. Lysis. Laches. Protagoras. Euthydemus. Cratylus. Phaedrus. Ion. Symposium.--v. 2. Meno. Euthyphro. Apology. Crito. Phaedo. Georgias. Appendix I: Lesser Hippias. Alcibiades I. Menexenus. Appenddix II: Alcibiades II. Eryxias.--v. 3. Republic. Timaeus. Critias.--v. 4. Pharmenides. Theaetetus. Sophist. Statesman. Philebus.--v. 5 Laws. Index to the writings of Plato.

How is modern psychotherapy impacted when it is approached from the presence and understanding of the unconditioned mind? What happens when therapists are able to function as a sacred mirror for their clients' essential nature, reflecting back not only the contents of awarenessùthoughts, feelings and sensationsùbut awareness itself? Informed by their direct experience as well as by nondual teachings from both eastern and western wisdom traditions, the authors take a fresh look at what psychotherapy can be. These seminal essays will (...) challenge and inspire readers to approach psychotherapy in a new wayùas a potential portal for experiencing their deepest nature as free and joyful beings.Seasoned clinicians, Dan Berkow, Stephan Bodian, Dorothy Hunt, Sheila Krystal, Lynn Marie Lumiere, Richard Miller, John Prendergast, John Welwood, Jennifer Welwood and Bryan Wittine, and innovative western spiritual teachers, Adyashanti and Peter Fenner, explore critical issues at the interface of psychology and spirituality from a nondual perspective. (shrink)

Given that as much as half of human thought arises in a stimulus independent fashion, it would seem unlikely that such thoughts would play no functional role in our lives. However, evidence linking the mind-wandering state to performance decrement has led to the notion that mind-wandering primarily represents a form of cognitive failure. Based on previous work showing a prospective bias to mind-wandering, the current study explores the hypothesis that one potential function of spontaneous thought is to plan and anticipate (...) personally relevant future goals, a process referred to as autobiographical planning. The results confirm that the content of mind-wandering is predominantly future-focused, demonstrate that individuals with high working memory capacity are more likely to engage in prospective mind-wandering, and show that prospective mind-wandering frequently involves autobiographical planning. Together this evidence suggests that mind-wandering can enable prospective cognitive operations that are likely to be useful to the individual as they navigate through their daily lives. (shrink)

An English language translation accompanies the original Greek text of Aristotle's book about the nature of the state, constitutions, revolutions, democracy, and oligarchy.

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, 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 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)

The current research investigates the interaction between thought suppression and individuals’ explicit awareness of their thoughts. Participants in three experiments attempted to suppress thoughts of a prior romantic relationship and their success at doing so was measured using a combination of self-catching and experience-sampling. In addition to thoughts that individuals spontaneously noticed, individuals were frequently caught engaging in thoughts of their previous partner at experience-sampling probes. Furthermore, probe-caught thoughts were: associated with stronger decoupling of attention from the environment, more likely (...) to occur under cognitive load, more frequent for individuals with a desire to reconcile, and associated with individual differences in the tendency to suppress thoughts. Together, these data suggest that individuals can lack meta-awareness that they have begun to think about a topic they are attempting to suppress, providing novel insight into the cognitive processes that are involved in attempting to control undesired mental states. (shrink)

The first English translation of the major political works of Benjamin Constant (1767-1830), one of the most important of the French political figures in the aftermath of the revolution of 1789, and a leading member of the liberal opposition to Napoleon and later to the restored Bourbon monarchy. The texts included in this volume are widely regarded as one of the classic formulations of modern liberal doctrine.

The 2013 Ebola virus outbreak in West Africa, as of writing, is declining in reported human cases and mortalities. The resulting devastation caused highlights how health systems, in particular in West Africa, and in terms of global pandemic planning, are ill prepared to react to zoonotic pathogens. In this paper we propose One Health as a strategy to prevent zoonotic outbreaks as a shared goal: that human and Great Ape vaccine trials could benefit both species. Only recently have two phase (...) 2/3 Ebola human vaccine trials been started in West Africa. This paper argues for a conceptual change in pandemic preparedness. We first discuss the ethics of One Health. Next, we focus on the current Ebola outbreak and defines its victims. Third, we present the notion of a ‘shared benefit’ approach, grounded in One Health, and argue for the vaccination of wild apes in order to protect both apes and humans. We believe that a creation of such inter-species immunity is an exemplar of One Health, and that it is worth pursuing as a coextensive public health approach. (shrink)

Bioethics, Volume 36, Issue 4, Page 348-355, May 2022.

Both traditional and naturalistic epistemologists have long assumed that the examination of human psychology has no relevance to the prescriptive goal of traditional epistemology, that of providing first-person guidance in determining the truth. Contrary to both, I apply insights about the psychology of human perception and concept-formation to a very traditional epistemological project: the foundationalist approach to the epistemic regress problem. I argue that direct realism about perception can help solve the regress problem and support a foundationalist account of justification, (...) but only if it is supplemented by an abstractionist theory of concept-formation, the view that it is possible to abstract concepts directly from the empirically given. Critics of direct realism like Laurence BonJour are correct that an account of direct perception by itself does not provide an adequate account of justification. However a direct realist account of perception can inform the needed theory of concept-formation, and leading critics of abstractionism like McDowell and Sellars, direct realists about perception themselves, fail to appreciate the ways in which their own views about perception help fill gaps in earlier accounts of abstractionism. Recognizing this undercuts both their objections to abstractionism and (therefore) their objections to foundationalism. (shrink)

Sheds new light on Heidegger's early theological development.

Until recently, discussion of virtues in the philosophy of mathematics has been fleeting and fragmentary at best. But in the last few years this has begun to change. As virtue theory has grown ever more influential, not just in ethics where virtues may seem most at home, but particularly in epistemology and the philosophy of science, some philosophers have sought to push virtues out into unexpected areas, including mathematics and its philosophy. But there are some mathematicians already there, ready to (...) meet them, who have explicitly invoked virtues in discussing what is necessary for a mathematician to succeed. In both ethics and epistemology, virtue theory tends to emphasize character virtues, the acquired excellences of people. But people are not the only sort of thing whose excellences may be identified as virtues. Theoretical virtues have attracted attention in the philosophy of science as components of an account of theory choice. Within the philosophy of mathematics, and mathematics itself, attention to virtues has emerged from a variety of disparate sources. Theoretical virtues have been put forward both to analyse the practice of proof and to justify axioms; intellectual virtues have found multiple applications in the epistemology of mathematics; and ethical virtues have been offered as a basis for understanding the social utility of mathematical practice. Indeed, some authors have advocated virtue epistemology as the correct epistemology for mathematics (and perhaps even as the basis for progress in the metaphysics of mathematics). This topical collection brings together several of the researchers who have begun to study mathematical practices from a virtue perspective with the intention of consolidating and encouraging this trend. (shrink)

Benjamin Barber is one of America's preeminent political theorists. He has been a significant voice in the continuing debate about the nature and role of democracy in the contemporary world. A Passion for Democracy collects twenty of his most important writings on American democracy. Together they refine his distinctive position in democratic theory. Barber's conception of "strong democracy" contrasts with traditional concepts of "liberal democracy," especially in its emphasis on citizen participation in central issues of public debate. These essays (...) critique the "thin representation" of liberal democracy and buttress the arguments presented in Barber's twelve books, most recently in his well-received Jihad vs. McWorld: How Globalism and Tribalism Are Re-shaping the World. In these pieces, Barber argues for participatory democracy without dependence on abstract metaphysical foundations, and he stresses the relationship among democracy and civil society, civic education, and culture. A Passion for Democracy is divided into four sections. In the first, "American Theory: Democracy, Liberalism, and Rights," Barber addresses issues of ongoing relevance to today's debates about the roots of participatory democracy, including individualism vs. community, the importance of consent, and the irrelevance of Marxism. Essays in the second section, "American Practice: Leadership, Citizenship, and Censorship" provide a "strong democracy" critique of American democratic practice. "Education for Democracy: Civic Education, Service, and Citizenship" applies Barber's theories to three related topics and includes his much-discussed essay "America Skips School." The final section, "Democracy and Technology: Endless Frontier or End of Democracy?" provides glimpses into a future that technology alone cannot secure for democracy. In his preface, Barber writes: "In these essays... I have been hard on my country. Like most ardent democrats, I want more for it than it has achieved, despite the fact that it has achieved more than most people have dared to want." This wide-ranging collection displays not only his passion for democracy, but also his unique perspective on issues of abiding importance for the democratic process. (shrink)

I defend a deontological social contract justification of punishment for philosophers who deny free will and moral responsibility (FW/MR). Even if nobody has FW/MR, a criminal justice system is fair to the people it targets if we would consent to it in a version of original position deliberation where we assumed that we would be targeted by the justice system when the veil is raised. Even if we assumed we would be convicted of a crime, we would consent to the (...) imprisonment of violent criminals if prison conditions were better than the state of nature but deterring enough to prevent the state of nature. (shrink)

Featuring a new, explanatory Foreword by Justice Cardozo's premier biographer, this renowned and much-used analysis of the process of judicial decision-making includes embedded page numbers from the original 1921 edition for continuity of citations and syllabi.

During the 2020 COVID-19 pandemic, open science has become central to experimental, public health, and clinical responses across the globe. Open science is described as an open commons, in which a right to science renders all possible scientific data for everyone to access and use. In this common space, capitalist platforms now provide many essential services and are taking the lead in public health activities. These neoliberal businesses, however, have a problematic role in the capture of public goods. This paper (...) argues that the open commons is a community of rights, consisting of people and institutions whose interests mutually support the public good. If OS is a cornerstone of public health, then reaffirming the public good is its overriding purpose, and unethical platforms ought to be excluded from the commons and its benefits. (shrink)

Worship is a topic that is rarely considered by philosophers of religion. In a recent paper, Tim Bayne and Yujin Nagasawa challenge this trend by offering an analysis of worship and by considering some difficulties attendant on the claim that worship is obligatory. I argue that their case for there being these difficulties is insufficiently supported. I offer two reasons that a theist might provide for the claim that worship is obligatory: a divine command, and the demands of justice with (...) respect to God's redemption of humanity. I also challenge the soundness of some of the analogies they employ in their argument. (shrink)

This paper is about the moral status of those human beings with profound intellectual disabilities (PIDs). We hold the common sense view that they have equal status to ‘normal’ human beings, and a higher status than any non-human animal. We start with an admission, however: we don’t know how to give a fully satisfying theoretical account of the grounds of moral status that explains this view. And in fact, not only do we not know how to give such an account, (...) but the most satisfying account of moral status that we know (which we call ‘the standard account’) entails that our view is false. It entails that those with PIDs have a lower status than ordinary human beings and an equal status to non-human animals. Now, in this paper, we do absolutely nothing to try to show where the standard account goes wrong, and we do absolutely nothing to resolve the difficulties we see in developing an alternative account that supports our view. Indeed, we do not give any argument against the standard account or in favour of our own view. Instead, we raise the following question: in order to be justified in continuing to hold our view, are we obliged to give such an account? Our answer will be that we are not. (shrink)

Marshall and colleagues (2024) offer a framework for emergency physicians (EPs) tasked with caring for “resuscitated opioid users”—or patients who have recently overdosed on opioids. This framework...