Those who wish to claim that all facts about grounding are themselves grounded (“the meta-grounding thesis”) must defend against the charge that such a claim leads to infinite regress and violates the well-foundedness of ground. In this paper, we defend. First, we explore three distinct but related notions of “well-founded”, which are often conflated, and three corresponding notions of infinite regress. We explore the entailment relations between these notions. We conclude that the meta-grounding thesis need not lead to tension with (...) any of the three notions of “well-founded”. Finally, we explore the details of and motivations for further conditions on ground that one might add to generate a conflict between the meta-grounding thesis and a well-founded constraint. We explore these topics by developing and utilizing a formal framework based on the notion of a grounding structure. (shrink)

Ground offers the hope of vindicating and illuminating an classic philosophical idea: the layered conception, according to which reality is structured by relations of dependence, with physical phenomena on the bottom, upon which chemistry, then biology, and psychology reside. However, ground can only make good on this promise if it is appropriately formally behaved. The paradigm of good formal behavior can be found in the currently dominant grounding orthodoxy, which holds that ground is transitive, antisymmetric, irreflexive, and foundational. However, heretics (...) have recently challenged the orthodoxy. In this paper, I examine ground’s ability to vindicate the layered conception upon various relaxations of the orthodox assumptions. I argue that highly unorthodox views of ground can still vindicate the layered conception and that, in some ways, the heretical views enable ground to better serve as a guide to reality’s layering than do orthodox views of ground. (shrink)

ABSTRACT This essay has three goals. The first is to introduce the notion of fundamentality and to argue that physicalism can usefully be conceived of as a thesis about fundamentality. The second is to argue for the advantages of fundamentality physicalism over modal formulations and that fundamentality physicalism is what many who endorse modal formulations of physicalism had in mind all along. Third, I describe what I take to be the main obstacle for a fundamentality-oriented formulation of physicalism: ‘the problem (...) of abstracta’, which asks how physical can accommodate phenomena such as mathematics and universals, and which modal formulations do not face. I canvas three solutions: the inapt for ground solution, the concrete restriction, and the contingency restriction. (shrink)

Agents can think using concepts they do not fully understand. This paper investigates the question “Under what conditions does a thinker fully understand, or have mastery of, a concept?” I lay out a gauntlet of problems and desiderata with which any theory of concept mastery must cope. I use these considerations to argue against three views of concept mastery, according to which mastery is a matter of holding certain beliefs, being disposed to make certain inferences, or having certain intuitions. None (...) of these attitudes is either necessary or sufficient for mastery. I propose and respond to objections to my own recognition view of the conditions under which a thinker has mastery of a concept. (shrink)

This paper develops a theory of analog representation. We first argue that the mark of the analog is to be found in the nature of a representational system’s interpretation function, rather than in its vehicles or contents alone. We then develop the rulebound structure theory of analog representation, according to which analog systems are those that use interpretive rules to map syntactic structural features onto semantic structural features. The theory involves three degree-theoretic measures that capture three independent ways in which (...) a system can be more or less analog. We explain how our theory improves upon prior accounts of analog representation, provides plausible diagnoses for novel challenge cases, extends to hybrid systems that are partially analog and partially symbolic, and accounts for some of the advantages and disadvantages of representing analogically versus symbolically. (shrink)

The literature on rights in both moral and legal philosophy is voluminous, so voluminous that there may seem to be little justification for one more symposium to swell its ranks. But the discussion of rights has been fairly tightly organized around several narrow topics of debate, among them whether rights should be explained in terms of interests or choices, 1 whether rights are strictly correlative with duties, 2 and the relation between rights and utility. 3 The inspiration for the present (...) symposium is the sense that one topic of central importance has generally been given short shrift: the question of whether rights can conflict. There is, of course, a perfectly good explanation for why this topic has received so little attention; namely that contemporary rights theorists have generally assumed that rights cannot conflict. 4 But this assumption seems to be out of keeping with the way people commonly speak about rights as well as the way in which rights are usually understood in our constitutional tradition. (shrink)

This volume explores moral and legal issues relating to sovereignty by addressing foundational questions about its nature, examining state sovereignty between states, and dealing with post 9/11 developments in the U.S., potentially destabilizing received views of democratic sovereignty. With essays addressing foundational, state and international sovereignty, the book focuses on Post 9/11 developments including the profusion of secret national security programs, including those pertaining to the interrogation, rendition, and detention of terror suspects; signal intercepts and meta-data analysis; and targeted killing (...) of irregular militants; prompting questions regarding the legitimacy of executive power in this arena. (shrink)

Decentralized autonomous organizations (DAOs) are a new, rapidly-growing class of organizations governed by smart contracts. Here we describe how researchers can contribute to the emerging science of DAOs and other digitally-constituted organizations. From granular privacy primitives to mechanism designs to model laws, we identify high-impact problems in the DAO ecosystem where existing gaps might be tackled through a new data set or by applying tools and ideas from existing research fields such as political science, computer science, economics, law, and organizational (...) science. Our recommendations encompass exciting research questions as well as promising business opportunities. We call on the wider research community to join the global effort to invent the next generation of organizations. (shrink)

This paper applies Plato's cave allegory to Enron's success and downfall. Plato's famous tale of cave dwellers illustrates the different levels of truth and understanding. These levels include images, the sources of images, and the ultimate reality behind both. The paper first describes these levels of perception as they apply to Plato's cave dwellers and then provides a brief history of the rise of Enron. Then we apply Plato's levels of understanding to Enron, showing how the company created its image (...) and presented information to support that image, and how the public eventually emerged from the cave to realize the truth about Enron's actual accounting practices and financial state, which led to the corporation's downfall. We find Plato's allegory both useful in analyzing the relationship between Enron and the public and instructive about the power and moral responsibility of Enron's executives. (shrink)

I make three claims about the interactions between concept mastery and the knowledge argument. First, I argue that, contra Ball, the concept mastery response to the knowledge argument does not suffer from the heterogeneity of concept mastery. Second, I argue that, when doing metaphysics by relating propositions on the basis of whether a hypothetical agent who knew a base collection could infer a target proposition, it is legitimate to rely on propositions that are not contained in the base, as long (...) as those propositions are required for mastery of relevant concepts. One upshot is that, when checking whether the physical truths a priori entail the consciousness truths, it is fair game to rely on substantive truths about consciousness. Third, I argue that the only version of the knowledge argument that has any hope of succeeding against physicalism completely lacks the argument's driving intuition: that Mary learns something new when she emerges from the black and white room. (shrink)

Thought: A Journal of Philosophy, EarlyView.

It is shown in this article that the two sides of an equation in the medieval Arabic algebra are aggregations of the algebraic “numbers” (powers) with no operations present. Unlike an expression such as our 3x + 4, the Arabic polynomial “three things and four dirhams” is merely a collection of seven objects of two different types. Ideally, the two sides of an equation were polynomials so the Arabic algebraists preferred to work out all operations of the enunciation to a (...) problem before stating an equation. Some difficult problems which involve square roots and divisions cannot be handled nicely by this basic method, so we do find square roots of polynomials and expressions of the form “A divided by B” in some equations. But rather than initiate a reconsideration of the notion of equation, these developments were used only for particularly complex problems. Also, the algebraic notation practiced in the Maghreb in the later middle ages was developed with the “aggregations” interpretation in mind, so it had no noticeable impact on the concept of polynomial. Arabic algebraists continued to solve problems by working operations before setting up an equation to the end of the medieval period. (shrink)

This dissertation contains four independent essays addressing a cluster of related topics in the philosophy of mind. Chapter 1: “Fundamentality Physicalism” argues that physicalism can usefully be conceived of as a thesis about fundamentality. The chapter explores a variety of other potential formulations of physicalism (particularly modal formulations), contrasts fundamentality physicalism with these theses, and offers reasons to prefer fundamentality physicalism over these rivals. Chapter 2:“Modal Rationalism and the Demonstrative Reply to the Master Argument Against Physicalism” introduces the Master Argument (...) Against Physicalism and investigates its crucial premise: the inference from an a priori gap between the physical and consciousness to a lack of necessitation between the two. I argue against the strong form of modal rationalism that underwrites the master argument and offer a more moderate rationalist view. I offer a novel demonstrative reply to the master argument, according to which a connection between conscious experience and demonstratives, not dualism, is the source of the epistemic gap between consciousness and the physical. Chapter 3: “Conceptual Mastery and the Knowledge Argument” argues that Frank Jackson’s famous anti-physicalist knowledge argument featuring Mary, a brilliant neuroscientist raised in a black and white room, founders on a dilemma. Either (i) Mary cannot know the relevant experiential truths because of trivial obstacles that have no bearing on the truth of physicalism or (ii) once the obstacles have been removed, Mary can know the relevant truths. Chapter 4: “Toward a Theory of Conceptual Mastery” investigates the question “Under what conditions does a thinker fully understand, or have mastery of, a concept?” I argue against three views of conceptual mastery, according to which conceptual mastery is a matter of holding certain beliefs, being disposed to make certain inferences, or having certain intuitions. I propose and respond to objections to my own “meaning postulate view” of the conditions under which a thinker has mastery of a concept. (shrink)

According to the scrutability argument against physicalism, an a priori gap between the physical and conscious experience entails a lack of necessitation and the falsity of physicalism. This paper investigates the crucial premise of the scrutability argument: the inference from an a priori gap to a lack of necessitation. This premise gets its support from modal rationalism, according to which there are important, potentially constitutive, connections between a priori justification and metaphysical modality. I argue against the strong form of modal (...) rationalism that underwrites the scrutability argument and suggest a more moderate rationalist view. I offer a novel demonstrative reply to the scrutability argument, according to which demonstratives play a vital role in the generation of meaning for our representations of conscious experience. This connection between conscious experience and demonstratives, rather than a metaphysical gap generated by the truth of dualism, is the source of the epistemic gap between consciousness and the physical. (shrink)

Medieval Arabic algebra is a good example of an artificial language.Yet despite its abstract, formal structure, its utility was restricted to problem solving. Geometry was the branch of mathematics used for expressing theories. While algebra was an art concerned with finding specific unknown numbers, geometry dealtwith generalmagnitudes.Algebra did possess the generosity needed to raise it to a more theoretical level—in the ninth century Abū Kāmil reinterpreted the algebraic unknown “thing” to prove a general result. But mathematicians had no motive to (...) rework their theories in algebraic form. Because it offered no advantage over geometry, algebra remained a practical art in both the Islamic world and in Europe until the scientific uphevals of the 17th–18th centuries. (shrink)

This paper draws a distinction between the existential quantifier and the symbol ‘∃’ used to express it, on the one hand, and existence and ‘exists’, on the other. It argues that some popular arguments in metaphysics, including arguments against vague existence and arguments against deflationary metaontology (which views ontological disputes as lacking substance), are guilty of fudging this distinction. The paper draws some lessons for metaphysical debate about existence and highlights some heretofore ignored and attractive positions in logical space.

Françios Viète was a geometer in search of better techniques for astronomical calculation. Through his theorem on angular sections he found a use for higher-dimensional geometric magnitudes which allowed him to create an algebra for geometry. We show that unlike traditional numerical algebra, the knowns and unknowns in Viète’s logistice speciosa are the relative sizes of non-arithmetized magnitudes in which the “calculations” must respect dimension. Along with this foundational shift Viète adopted a radically new notation based in Greek geometric equalities. (...) His letters stand for values rather than types, and his given values are undetermined. Where previously algebra was founded in polynomials as aggregations, Viète became the first modern algebraist in working with polynomials built from operations, and the notations reflect these conceptions. Viète’s innovations are situated in the context of sixteenth-century practice, and we examine the interpretation of Jacob Klein, the only historian to have conducted a serious inquiry into the ontology of Viète’s “species”. (shrink)

ArgumentFrom the time of al-Khwārizmī in the ninth century to the beginning of the sixteenth century algebraists did not allow irrational numbers to serve as coefficients. To multiply$\sqrt {18} $byx, for instance, the result was expressed as the rhetorical equivalent of$\sqrt {18{x^2}} $. The reason for this practice has to do with the premodern concept of a monomial. The coefficient, or “number,” of a term was thought of as how many of that term are present, and not as the scalar (...) multiple that we work with today. Then, in sixteenth-century Europe, a few algebraists began to allow for irrational coefficients in their notation. Christoff Rudolff was the first to admit them in special cases, and subsequently they appear more liberally in Cardano, Scheubel, Bombelli, and others, though most algebraists continued to ban them. We survey this development by examining the texts that show irrational coefficients and those that argue against them. We show that the debate took place entirely in the conceptual context of premodern, “cossic” algebra, and persisted in the sixteenth century independent of the development of the new algebra of Viète, Decartes, and Fermat. This was a formal innovation violating prevailing concepts that we propose could only be introduced because of the growing autonomy of notation from rhetorical text. (shrink)

Weighing Lives in War examines the core principles of the modern law of war: necessity, proportionality, and distinction, and provides new and innovative insights into the process of weighing lives implicit in all theories of jus in bello.

Human interaction with the living world, in science and beyond, always involves classification. While it has been a long-standing scientific goal to produce a single all-purpose taxonomy of life to cater for this need, classificatory practice is often subject to confusion and disagreement, and many philosophers have advocated forms of classificatory pluralism. This entails that multiple classifications should be allowed to coexist, and that whichever classification is best, is context-dependent. In this paper, we discuss some practical consequences of classificatory pluralism, (...) in particular with regard to how one is supposed to find the best classification for a given context. We do so by means of a case study concerning oaks, in particular the pedunculate oak (_Quercus robur_ L.) and the sessile oak (_Quercus petraea_ (Matt.) Liebl.), two important putative species that present several classificatory challenges; and by applying one recent philosophical framework conceptualizing classification, the so-called Grounded Functionality Account (GFA) of (natural) kinds. We show how the GFA elucidates several issues related to oak classification and gives directions to optimize classificatory practices, and discuss some implications for scientific taxonomy. (shrink)

This article attempts to demonstrate, via the famous Hart‐Dworkin debate on the nature and functions of judicial discretion, that substantial jurisprudential disputes as well as theories can, and do, arise from misconceived critiques, whether intended or otherwise. It also seeks to show that, whilst Dworkin's initial critique of Hart was misconceived, his theory of adjudication that arose as a result of responses to his initial views is a positive contribution to learning, although 1 argue that Dworkin's views are not, in (...) the final analysis, sufficiently persuasive to constitute a radical departure from Hart's own views. (shrink)

Oaks exemplify problems with the reproductive species concept which motivate a reconsideration of the use and nature of species. Ecology is important in the reconsideration. The species level is usually overemphasized in evolutionary thought; selection acts on phenotypes and any mutualistic units. Standard definitions tend to inhibit free conceptual progress. Multispecies, sets of broadly sympatric species that exchange genes, may occur among animals as well as plants and may conceivably bridge kingdoms. This phenomenon can be adaptively important. There may be (...) taxa without species. The degree of modality of adaptive zones can be investigated empirically. (shrink)

The two leading French film writers and critics of the post-war period were André Bazin and Georges Sadoul. Their relationship has often been reduced to the controversy that followed the publication of Bazin's article on ‘Soviet Cinema and the Myth of Stalin’ in 1950. While the ensuing polemic undeniably drove them apart, the prevailing critical emphasis on this episode fails to do justice to either their critical work or its wider context. Indeed, the heartfelt tribute Sadoul paid to Bazin after (...) the latter's death testifies to a much richer and more complex relationship between the two critics. Drawing on both published and archival sources, this article sets out to throw a new and more comprehensive light on this historically critical relationship and its context by examining the reactions of both critics to the ‘Stalin Myth’ controversy, post-war American cinema, and the form and content debate of the later 1940s. (shrink)

Hong Oak Yun is a person who is over three inches tall. And now you know who Hong Oak Yun is. For if someone were to ask you ‘Who is Hong Oak Yun?’, you could answer that Hong Oak Yun is a person who is over three inches tall, and you would know what you were saying. So you know an answer to the question ‘Who is Hong Oak Yun?’, and that is sufficient for knowing who Hong Oak Yun is. (...) Getting to know who a person is may be easier than you think. (shrink)