There are multiple formal characterizations of the natural numbers available. Despite being inter-derivable, they plausibly codify different possible applications of the naturals – doing basic arithmetic, counting, and ordering – as well as different philosophical conceptions of those numbers: structuralist, cardinal, and ordinal. Nevertheless, some influential philosophers of mathematics have argued for a non-egalitarian attitude according to which one of those characterizations is more “legitmate” in virtue of being “more basic” or “more fundamental”. This paper addresses two related issues. First, (...) we review some of these non-egalitarian arguments, lay out a laundry list of different, legitimate, notions of relative priority, and suggest that these arguments plausibly employ different such notions. Secondly, we argue that given a metaphysical-cum-epistemological gloss suggested by Frege’s foundationalist epistomology, the ordinals are plausibly more basic than the cardinals. This is just one orientation to relative priority one could take, however. Ultimately, we subscribe to an egalitarian attitude towards these formal characterizations: they are, in some sense, equally “legitimate”. (shrink)

In this paper, we outline and critically evaluate Thomas Hofweber’s solution to a semantic puzzle he calls Frege’s Other Puzzle. After sketching the Puzzle and two traditional responses to it—the Substantival Strategy and the Adjectival Strategy—we outline Hofweber’s proposed version of Adjectivalism. We argue that two key components—the syntactic and semantic components—of Hofweber’s analysis both suffer from serious empirical difficulties. Ultimately, this suggests that an altogether different solution to Frege’s Other Puzzle is required.

Number words seemingly function both as adjectives attributing cardinality properties to collections, as in Frege’s ‘Jupiter has four moons’, and as names referring to numbers, as in Frege’s ‘The number of Jupiter’s moons is four’. This leads to what Thomas Hofweber calls Frege’s Other Puzzle: How can number words function as modifiers and as singular terms if neither adjectives nor names can serve multiple semantic functions? Whereas most philosophers deny that one of these uses is genuine, we instead argue that (...) number words, like many related expressions, are polymorphic, having multiple uses whose meanings are systematically related via type shifting. (shrink)

This Element, written for researchers and students in philosophy and the behavioral sciences, reviews and critically assesses extant work on number concepts in developmental psychology and cognitive science. It has four main aims. First, it characterizes the core commitments of mainstream number cognition research, including the commitment to representationalism, the hypothesis that there exist certain number-specific cognitive systems, and the key milestones in the development of number cognition. Second, it provides a taxonomy of influential views within mainstream number cognition research, (...) along with the central challenges these views face. Third, it identifies and critically assesses a series of core philosophical assumptions often adopted by number cognition researchers. Finally, the Element articulates and defends a novel version of pluralism about number concepts. (shrink)

This paper investigates a certain puzzling argument concerning number expressions and their meanings, the Easy Argument for Numbers. After finding faults with previous views, I offer a new take on what’s ultimately wrong with the Argument: it equivocates. I develop a semantics for number expressions which relates various of their uses, including those relevant to the Easy Argument, via type-shifting. By marrying Romero ’s :687–737, 2005) analysis of specificational clauses with Scontras ’ semantics for Degree Nouns, I show how to (...) extend Landman ’s Adjectival Theory to numerical specificational clauses. The resulting semantics can explain various contrasts observed by Moltmann, but only if Scontras’ contention that degrees and numbers are sortally distinct is correct. At the same time, the Easy Argument can establish its intended conclusion only if numbers and degrees are mistakenly assumed to be identical. (shrink)

What are the meanings of number expressions, and what can they tell us about questions of central importance to the philosophy of mathematics, specifically 'Do numbers exist?' This Element attempts to shed light on this question by outlining a recent debate between substantivalists and adjectivalists regarding the semantic function of number words in numerical statements. After highlighting their motivations and challenges, I develop a comprehensive polymorphic semantics for number expressions. I argue that accounting for the numerous meanings and how they (...) are related leads to a strengthened argument for realism, one which renders familiar forms of nominalism highly implausible. (shrink)

I argue for two major claims in this paper. First, I argue that the linguistic evidence best supports a certain form of contextualism about predicates of personal taste (PPTs) like ?fun? and ?tasty?. In particular, I argue that these adjectives are both individual-level predicates (ILPs) and anaphoric implicit argument taking predicates (IATPs). As ILPs, these naturally form generics. As anaphoric IATPs, PPTs show the same dependencies on context and distributional behavior as more familiar anaphoric IATPs, for example, ?local? and ?apply?. (...) Moreover, they are subject to important binding-related phenomena, for example, various kinds of anaphora, binding arguments, and strict-sloppy ambiguities. The latter are particularly problematic for relativism, contextualism's major competitor. I argue that relativism cannot account for these binding facts in a non-ad hoc manner. Second, I argue that disagreement is a predictable feature of dialogues involving PPTs in conjunction with the contextualist semantics defended. Appealing to ?off the shelf? analyses of genericity, I show how disagreement arises in just the cases we would expect, licensing just the kinds of responses we would expect. They also suggest promising explanations, unavailable to relativists, of various otherwise puzzling features of disagreements involving PPTs. (shrink)

Hofweber (Ontology and the ambitions of metaphysics, Oxford University Press, 2016) argues for a thesis he calls “internalism” with respect to natural number discourse: no expressions purporting to refer to natural numbers in fact refer, and no apparent quantification over natural numbers actually involves quantification over natural numbers as objects. He argues that while internalism leaves open the question of whether other kinds of abstracta exist, it precludes the existence of natural numbers, thus establishing what he calls “restricted nominalism” about (...) natural numbers. We argue that Hofweber’s internalism fails to establish restricted nominalism. Not only is his primary argument for restricted nominalism invalid, the analysis of quantification proposed threatens to collapse internalism into either a traditional form of error theory or realism. (shrink)

Saul Kripke once noted that there is a tight connection between computation and de re knowledge of whatever the computation acts upon. For example, the Euclidean algorithm can produce knowledge of _which number_ is the greatest common divisor of two numbers. Arguably, algorithms operate directly on syntactic items, such as strings, and on numbers and the like only via how the numbers are represented. So we broach matters of _notation_. The purpose of this article is to explore the relationship between (...) the notations acceptable for computation, the usual idealizations involved in theories of computability, flowing from Alan Turing’s monumental work, and de re propositional attitudes toward numbers and other mathematical objects. (shrink)

One of the more distinctive features of Bob Hale and Crispin Wright’s neologicism about arithmetic is their invocation of Frege’s Constraint – roughly, the requirement that the core empirical applications for a class of numbers be “built directly into” their formal characterization. In particular, they maintain that, if adopted, Frege’s Constraint adjudicates in favor of their preferred foundation – Hume’s Principle – and against alternatives, such as the Dedekind-Peano axioms. In what follows we establish two main claims. First, we show (...) that, if sound, Hale and Wright’s arguments for Frege’s Constraint at most establish a version on which the relevant application of the naturals is transitive counting – roughly, the counting procedure by which numerals are used to answer “how many”-questions. Second, we show that this version of Frege’s Constraint fails to adjudicate in favor of Hume’s Principle. If this is the version of Frege’s Constraint that a foundation for arithmetic must respect, then Hume’s Principle no more – and no less – meets the requirement than the Dedekind-Peano axioms do. (shrink)

According to what I call the Traditional View, there is a fundamental semantic distinction between counting and measuring, which is reflected in two fundamentally different sorts of scales: discrete cardinality scales and dense measurement scales. Opposed to the Traditional View is a thesis known as the Universal Density of Measurement: there is no fundamental semantic distinction between counting and measuring, and all natural language scales are dense. This paper considers a new argument for the latter, based on a puzzle I (...) call the Fractional Cardinalities Puzzle: if answers to ‘how many’-questions always designate cardinalities, and if cardinalities are necessarily discrete, then how can e.g. ‘2.38’ be a correct answer to the question ‘How many ounces of water are in the beaker?’? If cardinality scales are dense, then the answer is obvious: ‘2.38’ designates a fractional cardinality, contra the Traditional View. However, I provide novel evidence showing that ‘many’ is not uniformly associated with the dimension of cardinality across contexts, and so ‘how many’-questions can ask about other kinds of measures, including e.g. volume. By combining independently motivated analyses of cardinal adjectives, measure phrases, complex fractions, and degrees, I develop a semantics intended to defend the Traditional View against purported counterexamples like this and others which have received a fair amount of recent philosophical attention. (shrink)

There are multiple formal characterizations of the natural numbers available. Despite being inter-derivable, they plausibly codify different possible applications of the naturals – doing basic arithmetic, counting, and ordering – as well as different philosophical conceptions of those numbers: structuralist, cardinal, and ordinal. Some influential philosophers of mathematics have argued for a non-egalitarian attitude according to which one of those characterizations is ‘more basic’ or ‘more fundamental’ than the others. This paper addresses two related issues. First, we review some of (...) these non-egalitarian arguments, lay out a laundry list of different, legitimate, notions of relative priority, and suggest that these arguments plausibly employ different such notions. Secondly, we argue that given a metaphysical-cum-epistemological gloss suggested by Frege's foundationalist epistemology, the ordinals are plausibly more basic than the cardinals. This is just one orientation to relative priority one could take, however. Ultimately, we subscribe to an egalitarian attitude towards these formal characterizations: they are, in some sense, equally ‘legitimate’. (shrink)

We address a puzzle about the meanings of fraction words due to Nathan Salmon. Counting 2 1/2 oranges seemingly requires enumerating a collection of objects with a non-whole cardinal number, which is incoherent by the lights of traditional analyses of cardinality expressions. Thus, some argue that counting 2 1/2 oranges really amounts to measuring quantities of orange-stuff . However, we claim that `2 1/2 oranges' is ambiguous between counting and measuring interpretations, and recognizing this affords a novel solution to Salmon's (...) puzzle which is consistent with traditional analyses. (shrink)

The primary argument against mereological singularism—the view that definite plural noun phrases like ‘the students’ refer to “set-like entities”—is that it is ultimately incoherent. The most forceful form of this charge is due to Barry Schein, who argues that singularists must accept a certain comprehension principle which entails the existence of things having the contradictory property of being both atomic and non-atomic. The purpose of this paper is to defuse Schein’s argument, by noting three necessary and independently motivated restrictions on (...) the metalinguistic predicates ‘atom’ and ‘non-atom’: both are sort, property, and context-relative. With these restrictions in place, Schein’s problematic assumption becomes evident: his presumed singularist analysis of ‘non-atom’ conflates the metalanguage with the meta-metalanguage, i.e. the language used to talk about the metalanguage. (shrink)

Perhaps the most pressing challenge for singularism—the predominant view that definite plurals like ‘the students’ singularly refer to a collective entity, such as a mereological sum or set—is that it threatens paradox. Indeed, this serves as a primary motivation for pluralism—the opposing view that definite plurals refer to multiple individuals simultaneously through the primitive relation of plural reference. Groups represent one domain in which this threat is immediate. After all, groups resemble sets in having a kind of membership-relation and iterating: (...) we can have groups of groups, groups of groups of groups, etc. Yet there cannot be a group of all non-self-membered groups. In response, we develop a potentialist theory of groups according to which we always can, but do not have to, form a group from any sum. Modalizing group-formation makes it a species of potential, as opposed to actual or completed, infinity. This allows for a consistent, plausible, and empirically adequate treatment of natural language plurals, one which is motivated by the iterative nature of syntactic and semantic processes more generally. (shrink)

abstractWe address a puzzle about the meanings of fraction words, due to Nathan Salmon. Counting 212 oranges seemingly requires enumerating a collection of objects with a non-whole cardinal number,...

Thought: A Journal of Philosophy, EarlyView.

Saul Kripke once noted that there is a tight connection between computation and de re knowledge of whatever the computation acts upon. For example, the Euclidean algorithm can produce knowledge of which number is the greatest common divisor of two numbers. Arguably, algorithms operate directly on syntactic items, such as strings, and on numbers and the like only via how the numbers are represented. So we broach matters of notation. The purpose of this article is to explore the relationship between (...) the notations acceptable for computation, the usual idealizations involved in theories of computability, flowing from Alan Turing’s monumental work, and de re propositional attitudes toward numbers and other mathematical objects. (shrink)

A core commitment of Bob Hale and Crispin Wright’s neologicism is their invocation of Frege’s Constraint—roughly, the requirement that the core empirical applications for a class of numbers be “built directly into” their formal characterization. According to these neologicists, if legitimate, Frege’s Constraint adjudicates in favor of their preferred foundation—Hume’s Principle—and against alternatives, such as the Dedekind–Peano axioms. In this paper, we consider a recent argument for legitimating Frege’s Constraint due to Hale, according to which the primary empirical application of (...) the naturals is transitive counting, or answering ‘how many’-questions using numerals. We make two claims regarding Hale’s argument. First, it fails to legitimate Frege’s Constraint in virtue of resting on unsupported and highly contentious assumptions. Secondly, even if sound, Hale’s argument would vindicate a version of Frege’s Constraint which fails to adjudicate in favor of Hume’s Principle over alternative characterizations of the naturals. (shrink)

Most philosophers are familiar with the metaphysical puzzle of the statue and the clay. A sculptor begins with some clay, eventually sculpting a statue from it. Are the clay and the statue one and the same thing? Apparently not, since they have different properties. For example, the clay could survive being squashed, but the statue could not. The statue is recently formed, though the clay is not, etc. Godehart Link 1983’s highly influential analysis of the count/mass distinction recommends that English (...) draws a distinction between uncountable “stuff” and countable “things”. There are two mereological relations, related in specific ways. Our primary question here is whether an empirically adequate account of the mass/count distinction really does require distinguishing “things” from “stuff”, and thus postulating two corresponding mereological relations, or if instead positing only one sort of entity and corresponding mereological relation is sufficient, as other semantic theories would have it. This question is meant to be one of what we call natural language mereology. We are asking about the mereological commitments of English, or perhaps competent speakers of English, and not about ultimate reality as such. There is no pretense that we will definitively solve the metaphysical puzzle of the statue and clay. (shrink)

A number of recent accounts for vague terms postulate a kind of context-sensitivity, one that kicks in after the usual ‘external’ contextual factors like comparison class are established and held fixed. In a recent paper, ‘Vagueness without Context Change’: 275–92), Rosanna Keefe criticizes all such accounts. The arguments are variations on considerations that have been brought against context-sensitive accounts of knowledge, predicates of personal taste, epistemic modals, and the like. The issues are well known and there are variety of options (...) available in reply. More important, the arguments rely on an overly narrow conception of context-sensitivity, suggesting that one size fits all. If Keefe’s arguments were cogent, they would tell against the context-sensitivity of just about any expression, beyond the typical indexicals, including the variation of vague terms with comparison class. However, the criticisms raised by Keefe do highlight certain questions that must be answered by an advo... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Feminist Studies 47, no. 1. © 2021 by Feminist Studies, Inc. 147 Eric Andrew James The Representational Necropolitics of Black Women in Zombie Dystopia Video Games Though Stuart Hall defends popular representation as an important terrain of political struggle, he also argues that images of difference are dominated by “racialized regimes of representation” manifest in stereotypes and invisibilities.1 These ensure that marginal identities are reduced, essentialized, and (...) rendered other. One of the most powerful tools for this form of silencing in the popular representation repertoire is the notion of an established genre. In US popular culture, creators and critics alike often position people who experience multiple layers of oppression as constitutively outside the expectations of existing genres. Their absence is attributable not simply to creator racism but also to that genre’s relationships to intersecting categories of difference and domination, such as race and gender. Beginning with the preponderance of representational violence in popular media, this article draws from existing work by feminists of color in order to model a critique of US representational precarity. To illustrate the political tensions in popular US culture, I stage my intervention into a medium whose industry has had particularly fraught struggles with representation: video gaming. There, I focus specifically on 1. Stuart Hall, “The Spectacle of the Other,” in Discourse Theory and Practice: A Reader, ed. Margaret Wetherell, Stephanie Taylor, and Simeon J. Yates. (London: Sage, 2001), 325–44. 148 Eric Andrew James recent attempts to represent Black women, whom the gaming industry has held up as emblematic of difference and diversity. 2 These attempts are marred by predictable disasters and pitfalls. In particular, I discuss how the representational politics of Black women in popular zombie dystopia games repeats a similar violence as the previous silencing of Black women in these spaces. The gaming industry’s struggles with representation in the wake of Gamergate are demonstrative of broader tensions in Black women’s representation in popular media. Thus, while I am focused on video games, I also intend this analysis to reflect on feminist studies of the relationship between genre and representation. I advance existing scholarship on video game representations of Blackness by theorizing violence enacted at the intersections of race, gender, and sexuality in game genres. Specifically, I position this intervention as a point of departure from TreaAndrea M. Russworm’s chapter in Gaming Representation: “Dystopian Blackness and the Limits of Racial Empathy in The Walking Dead and The Last of Us.”3 This chapter provides a compelling critique of the relationship between the dystopian game genre and Black representation, highlighting the lack of self-reflexivity in mass-market representations of Blackness. Expanding this project by taking another look at her objects of study—The Last of Us (2013– 2014) and Telltale’s The Walking Dead (2012)—I argue that taking Black women’s multiple jeopardy as foundational to the zombie dystopia genre offers a deeper look at the grammars of representational violence. My use of multiple jeopardy refers to Deborah K. King’s theorization of how multiple layers of oppression exponentially multiply individual disadvantages. As King describes, “The modifier ‘multiple’ refers not only to several, simultaneous oppressions but to the multiplicative 2. AnnaMaria Jackson-Phelps, “Representation Matters: Positive Portrayals of Black Women in Video Games,” Medium, February 28, 2017, https:// medium.com/legendary-women/representation-matters-positive-portrayals -of-black-women-in-video-games-c96cf9f66fdf; Jef Rouner, “Would You Believe There Have Been Only 14 Playable Black Women in Gaming?” Houston Press, June 5, 2015, https://www.houstonpress.com/arts/would-you-believethere -have-been-only-14-playable-black-women-in-gaming-7484017. 3. TreaAndrea M. Russworm, “Dystopian Blackness and the Limits of Racial Empathy in The Walking Dead and The Last of Us,” Gaming Representation: Race, Gender, and Sexuality in Video Games, ed. Jennifer Malkowski and TreaAndrea M. Russworm (Bloomington: Indiana University Press, 2017), 109–28. Eric Andrew James 149 relationships among them as well.”4 These layers of oppression are often contradictory and may leave no avenues for action; the expectations placed on one for their race become impossible to fulfill because of the contradictory expectations placed on them for their gender or sexuality. This multiple jeopardy thus introduces... (shrink)

The primary argument against mereological singularism—the view that definite plural noun phrases like ‘the students’ refer to “set-like entities”—is that it is ultimately incoherent. The most forceful form of this charge is due to Barry Schein, who argues that singularists must accept a certain comprehension principle which entails the existence of things having the contradictory property of being both atomic and non-atomic. The purpose of this paper is to defuse Schein’s argument, by noting three necessary and independently motivated restrictions on (...) the metalinguistic predicates ‘atom’ and ‘non-atom’: both are sort, property, and context-relative. With these restrictions in place, Schein’s problematic assumption becomes evident: his presumed singularist analysis of ‘non-atom’ conflates the metalanguage with the meta-metalanguage, i.e. the language used to talk about the metalanguage. (shrink)

Most philosophers are familiar with the metaphysical puzzle of the statue and the clay. A sculptor begins with some clay, eventually sculpting a statue from it. Are the clay and the statue one and the same thing? Apparently not, since they have different properties. For example, the clay could survive being squashed, but the statue could not. The statue is recently formed, though the clay is not, etc. Godehart Link 1983’s highly influential analysis of the count/mass distinction recommends that English (...) draws a distinction between uncountable “stuff” and countable “things”. There are two mereological relations, related in specific ways. Our primary question here is whether an empirically adequate account of the mass/count distinction really does require distinguishing “things” from “stuff”, and thus postulating two corresponding mereological relations, or if instead positing only one sort of entity and corresponding mereological relation is sufficient, as other semantic theories would have it. This question is meant to be one of what we call natural language mereology. We are asking about the mereological commitments of English, or perhaps competent speakers of English, and not about ultimate reality as such. There is no pretense that we will definitively solve the metaphysical puzzle of the statue and clay. (shrink)

HorstenLeon* * _ The Metaphysics and Mathematics of Ordinary Objects. _Cambridge University Press, 2019. Pp. xviii + 231. ISBN: 978-1-107-03941-4 ; 978-1-10860177-1. doi: 10.1017/9781139600293.

How is cultural progress possible? Historically, no other animal has progressed as humans have. Conventional wisdom suggests that by having language, people accumulate knowledge, which produces progress. Such Formal stage 10 wisdom begs fundamental questions. Thus, we assert the cultural necessity of levels of support, or scaffolding, for people to develop higher stages of hierarchical complexity. The resulting, wider accessibility to higher-stage action and knowledge, which requires higher stages of development to understand, enables social and scientific progress. With memes and (...) downward assimilation, larger proportions of society gain access to advanced thinking with support, in turn enabling cultural progress. (shrink)

Clarke and Beck import certain assumptions about the nature of numbers. Although these are widespread within research on number cognition, they are highly contentious among philosophers of mathematics. In this commentary, we isolate and critically evaluate one core assumption: the identity thesis.

Can we use technology in the pursuit of a good life, or are we doomed to having our lives organized and our priorities set by the demands of machines and systems? How can philosophy help us to make technology a servant rather than a master? Technology and the Good Life? uses a careful collective analysis of Albert Borgmann's controversial and influential ideas as a jumping-off point from which to address questions such as these about the role and significance of technology (...) in our lives. Contributors both sympathetic and critical examine Borgmann's work, especially his "device paradigm" apply his theories to new areas such as film, agriculture, design, and ecological restoration and consider the place of his thought within philosophy and technology studies more generally. Because this collection carefully investigates the issues at the heart of how we can take charge of life with technology, it will be a landmark work not just for philosophers of technology but for students and scholars in the many disciplines concerned with science and technology studies. (shrink)

Environmental pragmatism is a new strategy in environmental thought. It argues that theoretical debates are hindering the ability of the environmental movement to forge agreement on basic policy imperatives. This new direction in environmental thought moves beyond theory, advocating a serious inquiry into the merits of moral pluralism. Environmental pragmatism, as a coherent philosophical position, connects the methodology of classical American pragmatic thought to the explanation, solution and discussion of real issues. This concise, well-focused collection is the first comprehensive presentation (...) of environmental pragmatism as a new philosophical approach to environmental thought and policy. (shrink)

This paper offers a composite portrait of the concept of magnanimity in nineteenth-century America, focusing on Ralph Waldo Emerson, Margaret Fuller, and Henry David Thoreau. A composite portrait, as a method in the history of philosophy, is designed to bring out characteristic features of a group's philosophizing in order to illuminate characteristic features that may still resonate in today's philosophy. Compared to more standard methods in the historiography of philosophy, the construction of a composite portrait de-privileges the views of individual (...) authors. These philosophers saw the virtue of magnanimity as a remedy for a number of modern ills. American philosophers suggest that the best sort of magnanimity is acquired by adopting the correct relation to the natural world, including new forms of inquiry, or by adopting a life of voluntary poverty. Magnanimous individuals are critics of capitalism and offer themselves as exemplars of a better, experimental life. (shrink)

Dennis Whitcomb argues that there is no God on the grounds that God is supposed to be omniscient, yet nothing could be omniscient due to the nature of grounding. We give a formally identical argument that concludes that one of the present co-authors does not exist. Since he does exist, Whitcomb’s argument is unsound. But why is it unsound? That is a difficult question. We venture two answers. First, one of the grounding principles that the argument relies on is false. (...) Second, the argument equivocates between two kinds of grounding: instance-grounding and quasi-mereological grounding. Happily, the equivocation can be avoided; unhappily, avoidance comes at the price of a false premise. (shrink)

We present evidence that mainstream Anglophone philosophy is insular in the sense that participants in this academic tradition tend mostly to cite or interact with other participants in this academic tradition, while having little academic interaction with philosophers writing in other languages. Among our evidence: In a sample of articles from elite Anglophone philosophy journals, 97% of citations are citations of work originally written in English; 96% of members of editorial boards of elite Anglophone philosophy journals are housed in majority-Anglophone (...) countries; and only one of the 100 most-cited recent authors in the Stanford Encyclopedia of Philosophy spent most of his career in non-Anglophone countries writing primarily in a language other than English. In contrast, philosophy articles published in elite Chinese-language and Spanish-language journals cite from a range of linguistic traditions, as do non-English-language articles in a convenience sample of established European-language journals. We also find evidence that work in English has more influence on work in other languages than vice versa and that when non-Anglophone philosophers cite recent work outside of their own linguistic tradition it tends to be work in English. (shrink)

This collection of specially commissioned essays by leading scholars presents research on Isaac Newton and his main philosophical interlocutors and critics. The essays analyze Newton's relation to his contemporaries, especially Barrow, Descartes, Leibniz and Locke and discuss the ways in which a broad range of figures, including Hume, Maclaurin, Maupertuis and Kant, reacted to his thought. The wide range of topics discussed includes the laws of nature, the notion of force, the relation of mathematics to nature, Newton's argument for universal (...) gravitation, his attitude toward philosophical empiricism, his use of 'fluxions', his approach toward measurement problems and his concept of absolute motion, together with new interpretations of Newton's matter theory. The volume concludes with an extended essay that analyzes the changes in physics wrought by Newton's Principia. A substantial introduction and bibliography provide essential reference guides. (shrink)

The Homeric epics are among the greatest masterpieces of literature, but when they were produced is not known with certainty. Here we apply evolutionary-linguistic phylogenetic statistical methods to differences in Homeric, Modern Greek and ancient Hittite vocabulary items to estimate a date of approximately 710–760 BCE for these great works. Our analysis compared a common set of vocabulary items among the three pairs of languages, recording for each item whether the words in the two languages were cognate – derived from (...) a shared ancestral word – or not. We then used a likelihood-based Markov chain Monte Carlo procedure to estimate the most probable times in years separating these languages given the percentage of words they shared, combined with knowledge of the rates at which different words change. Our date for the epics is in close agreement with historians' and classicists' beliefs derived from historical and archaeological sources. (shrink)

The philosophy of deep ecology originated in the 1970s with the Norwegian philosopher Arne Naess and has since spread around the world. Its basic premises are a belief in the intrinsic value of nonhuman nature, a belief that ecological principles should dictate human actions and moral evaluations, an emphasis on noninterference into natural processes, and a critique of materialism and technological progress.This book approaches deep ecology as a philosophy, not as a political, social, or environmental movement. In part I, the (...) authors compare deep ecology's philosophical ideas with other positions and debates in environmental philosophy and to other schools of thought such as social ecology, ecofeminism, and moral pluralism. In part II, they investigate the connections between deep ecology and other contemporary world views, such as continental philosophy, postmodernism, and non-Western philosophical traditions. The first anthology on deep ecology that is not primarily the work of the movement's followers, Beneath the Surface offers a rigorous assessment of deep ecology's strengths and weaknesses as a philosophical position.Contributors : John Clark, Deane Curtin, Arran Gare, William Grey, Mathew Humphrey, Knut Jacobsen, Eric Katz, Andrew Light, Jonathan Maskit, Val Plumwood, David Rothenberg, Ariel Salleh, Bron Taylor, Michael Zimmerman. (shrink)

In their article, Char et al. have created a model intended to tidy up the messy landscape of ethical concerns arising from machine-learning health care applications. The novel con...

Background: The bioethics literature contains speculation but little data about sociodemographic differences between patients for whom ethics committees (EC) are consulted for conflict about life-sustaining treatment (LST) and the broader hospital population that these committees serve. To provide an empirical context for this discussion, we examined differences in five sociodemographic factors between patients for whom an EC was consulted for conflict over LST and the general inpatient population, hypothesizing that nonwhite patients were most likely to be disproportionately represented. Methods: This (...) was a retrospective cohort study comparing self-reported race/ethnicity, household income, insurance status, primary language, and religious affiliation between patients involved in EC consultations for conflict over LST and the general adult inpatient population at a large academic hospital from January 1, 2007, through December 31, 2013. Results: There were 169 EC consultations involving conflict over LST and 243,197 adult inpatient admissions over the study period. On bivariate analysis, patients for whom the EC was consulted for conflict over LST were more likely to be nonwhite, low-income, and to speak a primary language other than English. They were not more likely to be underinsured or to report a religious affiliation. On multivariate analysis, patients for whom the EC was consulted for conflict over LST were more likely to be nonwhite (odds ratio [OR], 2.5; 95% confidence interval [CI], 1.7–3.7; p <.001). They were also more likely to be low income (OR, 1.8; 95% CI, 1.1–3.0; p =.02). They were not more likely to speak a primary language other than English (OR, 1.4; 95% CI, 0.9–2.1; p =.17). None of the assessed variables were associated with conflict over LST requiring additional meetings beyond the first EC consultation. Conclusions: Nonwhite and low-income status patients are disproportionately represented in EC committee consultation for conflict over LST compared to the general inpatient population. (shrink)

Loneliness—perceived social isolation—is defined as a discrepancy between existing social relationships and desired quality of relationships. Whereas most research has focused on existing relationships, we consider the standards against which people compare them. Participants who made downward social or temporal comparisons that depicted their contact with others as better reported less loneliness than participants who made upward comparisons that depicted their contact with others as worse. Extending these causal results, in a survey of British adults, upward social comparisons predicted current (...) loneliness, even when controlling for loneliness at a previous point in time. Finally, content analyses of interviews with American adults who lived alone showed that social and temporal comparisons about contact with others were both prevalent and linked to expressed loneliness. These findings contribute to understanding the social cognition of loneliness, extend the effects of comparisons about social connection to the important public health problem of loneliness, and provide a novel tool for acutely manipulating loneliness. (shrink)

Discussion of ecological restoration in environmental ethics has tended to center on issues about the nature and character of the values that may or may not be produced by restored landscapes. In this paper we shift the philosophical discussion to another set of issues: the social and political context in which restorations are performed. We offer first an evaluation of the political issues in the practice of restoration in general and second an assessment of the political context into which restoration (...) is moving. The former focuses on the inherent participatory capacity at the heart of restoration; the latter is concerned with the commodified (primarily in the United States) and nationalized (primarily in Canada) uses to which restoration is being put. By comparing these two areas of inquiry we provide a foundation for a critical assessment of the politics of restoration based on the politics in restoration. (shrink)

The inaugural collection in an exciting new exchange between philosophers and geographers, this volume provides interdisciplinary approaches to the environment as space, place, and idea. Never before have philosophers and geographers approached each other's subjects in such a strong spirit of mutual understanding. The result is a concrete exploration of the human-nature relationship that embraces strong normative approaches to environmental problems.