We tell a story where an agent who chooses in such a way as to make the greatest possible profit on each of an infinite series of transactions ends up worse off than an agent who chooses in such a way as to make the least possible profit on each transaction. That is, contrary to what one might suppose, it is not necessarily rational always to choose the option that yields the greatest possible profit on each transaction.

The recently proposed ``infinite decision puzzle'' is based on incorrect mathematics.

Pulier (2000, Theory and Decision 49: 291) and Machina (2000, Theory and Decision 49: 293) seek to dissolve the Barrett–Arntzenius infinite decision puzzle (1999, Theory and Decision 46: 101). The proposed dissolutions, however, are based on misunderstandings concerning how the puzzle works and the nature of supertasks more generally. We will describe the puzzle in a simplified form, address the recent misunderstandings, and describe possible morals for decision theory.

The Barrett and Arntzenius (1999) decision paradox involves unbounded wealth, the relationship between period-wise and sequence-wise dominance, and an infinite-period split-minute setting. A version of their paradox involving bounded (in fact, constant) wealth decisions is presented, along with a version involving no decisions at all. The common source of paradox in Barrett–Arntzenius and these other examples is the indeterminacy of their infinite-period split-minute setting.

We pose and resolve several vexing decision theoretic puzzles. Some are variants of existing puzzles, such as 'Trumped' (Arntzenius and McCarthy 1997), 'Rouble trouble' (Arntzenius and Barrett 1999), 'The airtight Dutch book' (McGee 1999), and 'The two envelopes puzzle' (Broome 1995). Others are new. A unified resolution of the puzzles shows that Dutch book arguments have no force in infinite cases. It thereby provides evidence that reasonable utility functions may be unbounded and that reasonable credence functions need (...) not be countably additive. The resolution also shows that when infinitely many decisions are involved, the difference between making the decisions simultaneously and making them sequentially can be the difference between riches and ruin. Finally, the resolution reveals a new way in which the ability to make binding commitments can save perfectly rational agents from sure losses. (shrink)

I consider two puzzles in which an agent undergoes a sequence of decision problems. In both cases it is possible to respond rationally to any given problem yet it is impossible to respond rationally to every problem in the sequence, even though the choices are independent. In particular, although it might be a requirement of rationality that one must respond in a certain way at each point in the sequence, it seems it cannot be a requirement to respond as (...) such at every point for that would be to require the impossible. (shrink)

In this article, I argue that it is impossible to complete infinitely many tasks in a finite time. A key premise in my argument is that the only way to get to 0 tasks remaining is from 1 task remaining, when tasks are done 1-by-1. I suggest that the only way to deny this premise is by begging the question, that is, by assuming that supertasks are possible. I go on to present one reason why this conclusion (that supertasks are (...) impossible) is important, namely that it implies a new verdict on a decision puzzle propounded by Jeffrey Barrett and Frank Arntzenius. (shrink)

Puzzles can arise in value theory and deontic (permissibility) theory when infinity is involved. These puzzles can arise for ethics, for prudence, or for any normative perspective. For the sake of simplicity, we focus on the ethical versions of these problems. We start by addressing problems that can arise in determining what is permissible, either in a given choice situation when there are an infinite number of options or in infinite sequence of choice situations, each with only finitely (...) many options. There is a common theme here: standard and plausible decision rules, such as the dominance principle or maximising principles, run into conflict with other plausible principles. We then address problems that can arise in determining whether one option is more valuable than another, when the options have infinite, or undefined, value. This includes cases where a single bearer of value has infinite or undefined value, as well as cases where each bearer of value is finite but the total for the collection is infinite or undefined totals. Our focus is on introducing the puzzles, rather than canvassing potential solutions. (shrink)

Dozens of articles have addressed the challenge that gambles having undefined expectation pose for decision theory. This paper makes two contributions. The first is incremental: we evolve Colyvan's ``Relative Expected Utility Theory'' into a more viable ``conservative extension of expected utility theory" by formulating and defending emendations to a version of this theory proposed by Colyvan and H\'ajek. The second is comparatively more surprising. We show that, so long as one assigns positive probability to the theory that there is (...) a uniform bound on the utility of possible gambles (and assuming a uniform bound on the amount of utility that can accrue in a fixed amount of time), standard principles of anthropic reasoning (as formulated by Brandon Carter) place lower and upper bounds on the expected values of gambles advertised as having no expectation--even assuming that with positive probability, all gambles advertised as having infinite expected utility are administered faithfully. Should one accept the uniform bound premises, this reasoning thus dissolves (or nearly dissolves, in some cases) several puzzles in infinite decision theory. (shrink)

I have argued for a picture of decision theory centred on the principle of Rationally Negligible Probabilities. Isaacs argues against this picture on the grounds that it has an untenable implication. I first examine whether my view really has this implication; this involves a discussion of the legitimacy or otherwise of infinite decisions. I then examine whether the implication is really undesirable and conclude that it is not.

Logic in Action/Doron Avital Nothing is more difficult, and therefore more precious, than to be able to decide (Napoleon Bonaparte) Introduction -/- This book was born on the battlefield and in nights of secretive special operations all around the Middle East, as well as in the corridors and lecture halls of Western Academia best schools. As a young boy, I was always mesmerized by stories of great men and women of action at fateful cross-roads of decision-making. Then, like as (...) today, I felt the full weight of the moment of truth as it confronts the individual, the man or woman of action, with the imminent necessity to decide. Alongside, as I was climbing up the ladder of education, I found myself just as well captivated by the great intellectual stories of our times, in particular 20th century analytic philosophy and, at its core, the machinery of modern logic. How do then the cool contemplative modes of the philosophical and analytic outlooks, that are better fitting of the philosopher's armchair at the fireplace, hang together with the heat of the battlefield or the angst of the ticking clock of time left to the completion of a daring special operation? Growing up I was pondering exactly that. Not accidently, and in fact as consequence, I have chosen a course in life that challenged me to visit the poles of both theory and practice. I set myself on a mission to unravel the tension between the contemplative inquiry, supposedly theoretical, aiming at the logical structure of things, and the uncompromising test of life and action. The puzzle of the gap between theory and practice has become ever since the guiding question of my life. -/- Not long ago, I met two friends, Avner Shor, a veteran combat soldier of the special forces unit I eventually commanded, and Aviram Halevi, a fellow officer with whom I served. Why will we not put into writing the ideas that guided us during our years of military action, we wondered. At that time, I used to deliver the keynote lectures to the senior officers' course of Israel central intelligence organization, the Mossad. For this I already had to put some of these ideas in writing. Avner was quick to introduce me with a notable publisher and even helped me write the first chapter. With Aviram I sat to many meetings, where he would challenge me with key questions, and we followed them with memories of operations and battles, aiming to draw the required lessons. This served me well when I finally sat down to write the first draft of the book. The result was more extensive than me and my friends had expected. I had to add a particularly long chapter dealing with the story of modern philosophy and logic. This was required, I felt, as no decision-making process lives in an intellectual vacuum. Knowingly or subconsciously, the intellectual climate of the time guides us for better or worse with the decisions we finally take. The initial draft was naturally cumbersome and inaccessible. But here I had the privilege of meeting a particularly talented editor, Rami Rothholtz. I found in Rami both an editor and a critical reader. As an infantry combat soldier at youth and now a senior journalist and editor, Rami insisted on simplifying and refining my ideas. Had it not been for his work, this book would have been literally unreadable. *** I opened my book with a brief description of a single night of a special operation deep at the Lebanon Bekaa valley, far away from Israel northern border. The mission was to kidnap a senior terror leader known to be holding in captivity an Israeli pilot. This was also the last special operation I commanded in my military career. A single special operation night, but what had to precede it? For sure, many months of intense and skillful preparations. What is Planning? This is the question with which I open up chapter (2) of the book. I confront in this chapter two approaches to planning. The first is the one I saw as a mission to myself to cultivate in my many years of military service. The second is the one I saw as representing a deep-rooted fallacy that holds a firm grip on today's conventional wisdom about planning. To further examine the logic of the competing models, I was required in chapter (3) to analyze the concept of "The Standard". I argue that the false model of planning has its roots in an attitude of an uncompromising adherence to the power of literal obedience to standards and rules. The standard, or what is outlined by a rule as prescribing a future course of action, is seen as an answer to the fundamental tension between theory (planning) and practice (execution). I argue in contrast that the standard does not produce an answer but rather what I call: "A Well-Defined Question". In essence, it is a meticulously-well-planned invitation to exercise a fresh judgment. A judgement that has as an anchor the default answer that the standard produces but is open to extension as it confronts the new frame of reference of the test of reality. In chapter (4), I present a new tool for planning and execution: "The Polygon of Risks" or "The Polygon of Execution". The Polygon is a geometric illustration of the underlying tension that exists between all dimensions of the operational project. The construction and conceptualization of the trade-offs that exist between the various dimensions - segments of the polygon - is the first topic on the planner's agenda. I position the concepts of "Daring" and "Taking Proactive and Well-Informed Risks" as necessary logical constituents of the polygon and show how in contrast the false model of planning is responsible for an operational culture that is risk-averse. It encourages, in fact, the piling up of false securities at the segments' level that eventually lead to the collapse of the polygon. The necessary trade-offs relationships that exist between the segments of the polygon express the fundamental tension between partnership and competition: partnership in a joint goal and competition over resources, both material and abstract. When this tension is not managed well, that is, when the players' local optimizations overshadow the global optimization required for the success of the project, the execution polygon collapses. In this scenario, we may find the setting of the bar of "High Standards" in a players' spheres of responsibility to conceal a hidden agenda of personal insurances taken against a possible failure. Once the overall risk is not mitigated by way of collaborative joint executional dialogue, the process that leads to a collapse of the polygon is literally unstoppable. *** In chapter (5), I discuss "(Fateful) Decisions". I examine the way in which we should translate the polygon into sequential critical decisions on the timeline. The execution polygon is not a rigid scaffolding but a dynamic conceptual illustration of the -/- project. It will need now to be converted into successive decision junctions. We will find the content of a decision and its timing on the timeline to be inseparable. The right decision is the one that is taken at the right time. The moment of decision is in fact the last moment of deliberation, the first moment available for action, i.e. the first possible "Can" is also the latest possible "Must". Deciding too soon is analog to the "Jumping of the Gun". The decision maker is forcing a pre-conceived answer to a state of affairs not ripe for an answer, e.g. the target in the shooting range is not yet erected. Late to decide and the decision maker may envision what he or she should have done but reality is no longer available for them to harness it right, e.g. consider a tennis player's frustration when reviewing a too-late-to-react move in the video replay. I review in this chapter many fateful decisions, both historical, from Napoleon's Waterloo, to a Bridge Too Far of WWII, to the failed rescue attempt of American hostages at the time of the Iranian Revolution, as well as fateful decisions I had to take in the course of my military life, both in combat and in special operations, and show the sense in which they all answer to our analysis. The theme of chapter (6) is "The Moment of Truth". This is the moment when everything is on the line and from which there is no turning back. I discuss the formative repetitive structure of the schooling and simulation phase and contrast it with the "One Shot, One Opportunity" nature of the moment of truth. This is extremely helpful when we analyze the logical structure of failures as unwarranted repetitions of past lessons. The schooling curriculum indeed consists of important abstractions drawn from lessons of the past. However, it is when we project them in a fashion that is literal or mechanical that we cross path with the possibility of a failure. The paradox of education is that what we must repeat in school and simulation must be extended and not repeated in real life. What is required of us so we do not fall into the fallacy of repetition in face of the moment of truth is the core subject of the discussion of this chapter. In chapter (7), I took a lengthy philosophical detour surveying the intellectual drama of modern logic, and in general, the story of 20th century analytic philosophy. Readers who choose to bypass the somehow demanding narrative of this drama can do so and still keep the argumentative thread of the book. However, even by way of skipping the more technical parts, I would still urge the readers to delve into the discussion in this chapter as I believe this would grant them a deeper understanding of the overall conceptual framework. I explore here the work of two key figures: the logician Kurt Gödel and the philosopher Ludwig Wittgenstein, both were crowned in 2000 by TIME Magazine, as the leading Logician and Philosopher, respectively, of the 20th Century. I review the fascinating logical result of Gödel's Incompleteness Theorem and examine its relevance as setting a theoretical limit to the power of formalization. This amazing logical result - a result that shakes the logical foundations of 20th century thought in as much as the discovery of irrational numbers shook the foundations of the Pythagorean program of the ancient Greeks - bears significantly on the question of action and the blind trust we place in the power of formalization in the form of protocols and rules. It is here that Wittgenstein's philosophy enters in full force. We follow Wittgenstein as he dismantles our conception of rules as if there were "Railroads to Infinite", i.e. as prescribing for us in-advance their proper employments in all possible -/- future eventualities. Instead we propose that the dilemma of action demands of us an extension of rules rather than a mechanical or blind repetition of their literal imperative. In turn, this extension can serve as a new lesson added to the curriculum of school and simulation. The theme of chapter (8), the concluding chapter, is Strategy, Logic, and Ethics. The chapter comes to place the ethical dilemma in the conceptual map we presented in the book. I discuss here the tension between strategy as a process of setting goals and deriving backward as it were the steps that are necessary for achieving these goals, to the inescapable dictation of the ethical imperative. This unavoidable tension is particularly important against the backdrop of contemporary culture that is guided by a vision of personal success and achievement that may threaten our ability to do what is right. Most of all, I am troubled in this chapter, with the role logic may play, first as a liberating force enabling a change that is tuned to the ethical imperative, and second, as a force designed to justify on logical grounds, as it were, the existing power structure. It is in this junction that brave individuals will be called to challenge the governing logic of the zeitgeist - logic that operates now as an oppressive force that serves the vested interest of beneficials of the existing order. When success is favored over doing what is right, as we must admit is the prevailing cultural mood of our times, that the words of Emanuel Kant carry their full weight: "Do the Right thing and leave the Consequences to God". For this we need heroes and heroines that challenge the time by bearing the full weight of responsibility that comes with the doing of what is Right. *** This book was written more than anything from the perspective of the heroes and heroines of action. Sometimes they may be missing the exact words or the full insight into the solid logical complexity that stands between them and the doing of what is right. They feel what is right to do on the battlefield of life, whether in real battle, in political or economic life or whether in the life of creativity and the quest of the intellect. They do need, in analogy, proper logical and intellectual artillery. I hope they will find the logical cannons they require as they travel through the pages of this book. The rest is in their hands at the Moment of Truth. -/- Doron Avital, Tel Aviv 2011 -/- . (shrink)

Barrett and Artzenius posed a problem concerning infinite sequences of decisions. It appeared that the strategy of making the rational choice at each stage of the game was, in some circumstances, guaranteed to lead to lower returns than the strategy of making the irrational choice at each stage. This paper shows that there is only the appearance of paradox. The choices that Barrett and Artzenius were calling ‘rational’ cannot be economically justified, and so it is not surprising that someone (...) who makes them ends up with sub-optimal returns. A solution to the more general problem they pose is also advanced. (shrink)

This book is an exploration of philosophical questions about infinity. Graham Oppy examines how the infinite lurks everywhere, both in science and in our ordinary thoughts about the world. He also analyses the many puzzles and paradoxes that follow in the train of the infinite. Even simple notions, such as counting, adding and maximising present serious difficulties. Other topics examined include the nature of space and time, infinities in physical science, infinities in theories of probability and decision, (...) the nature of part/whole relations, mathematical theories of the infinite, and infinite regression and principles of sufficient reason. (shrink)

This book is open access under a CC BY 4.0 license. This book addresses the age-old problem of infinite regresses in epistemology. How can we ever come to know something if knowing requires having good reasons, and reasons can only be good if they are backed by good reasons in turn? The problem has puzzled philosophers ever since antiquity, giving rise to what is often called Agrippa's Trilemma. The current volume approaches the old problem in a provocative and thoroughly (...) contemporary way. Taking seriously the idea that good reasons are typically probabilistic in character, it develops and defends a new solution that challenges venerable philosophical intuitions and explains why they were mistakenly held. Key to the new solution is the phenomenon of fading foundations, according to which distant reasons are less important than those that are nearby. The phenomenon takes the sting out of Agrippa's Trilemma; moreover, since the theory that describes it is general and abstract, it is readily applicable outside epistemology, notably to debates on infinite regresses in metaphysics. The book is a potential game-changer and a must for any advanced student or researcher in the field. (shrink)

The orthodox characterization of spontaneous symmetry breaking in statistical mechanics appeals to novel properties of systems with infinite degrees of freedom, namely, the existence of multiple equilibrium states. This raises the same puzzles about the status of the thermodynamic limit fueling recent debates about phase transitions. I argue that there are prospects of explaining the success of the standard approach to SSB in terms of the properties of large finite systems. Consequently, despite initial appearances, the need to account for (...) SSB phenomena does not offer decisive support to claims about the explanatory and representational indispensability of the thermodynamic limit. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Eclipsing Art: Method and Metaphysics in Coleridge’s Biographia Literaria *Tim MilnesColeridge’s PredicamentIn his self-addressed “letter” which precipitates the abrupt end to the thirteenth chapter (and with it, the first volume) of the Biographia Literaria, Coleridge likens the current state of his argument to “the fragments of the winding steps of an old ruined tower.” 1 The suggestion of intellectual ascent in this is revealing and is echoed a few (...) years later by his explanation of the pedagogical function of the “Landing-Places” between the essays in The Friend (1818). 2 The underlying idea, as usual with Coleridge, is akin to that of an exercise in intellectual and spiritual mountaineering. The thinker, having established a safe base camp in fixed first principles, gradually ascends to higher truths, which are at the same time taken to be foundational and which form the ground of the whole process. The logical return here is what Coleridge elsewhere explains as the “seeming argumentum in circulo, incident to all spiritual Truths.” 3 In the Biographia, however, this process of simultaneous levitation and descent remains notoriously incomplete, left over for the projected but never completed “great book on the constructive philosophy.” 4 Thus, the procedure initiated in the philosophical [End Page 125] theses of chapter twelve having been arrested, the project of chapter thirteen, “in which the results [of the theses] will be applied to the deduction of the imagination, and with it the principles of production and genial criticism in the fine arts,” 5 is left as a fragmentary exposition in the hugely influential but attenuated and gnomic sequence of distinctions between primary and secondary imagination, and fancy.Consequently, students of Coleridge have been left to puzzle over the “missing” argument for themselves and to explain why Coleridge seems to give up at this point. At least since Thomas McFarland’s Coleridge and the Pantheist Tradition it has been accepted that a significant part of the problem lies with the “counter-pull” 6 exerted upon Coleridge’s thought at this point in time between Kant and Schelling (or, as McFarland sees it, between Kant and Schelling / Spinoza). In other words, it is the pull between a system in which free will is preserved at the price of being declared noumenal and one in which free will is imperilled but set against the goal of a system of total and undivided philosophy at ease with the infinite. The difference between the methodologies of Kant and Schelling, as Gian Orsini noted, is the product of their contrasting first postulates, or philosophical starting-points. While Kant sets out from the epistemological problem of to what extent objects can be said to conform to human knowledge, Schelling asks, “do we deduce Mind from Nature or Nature from Mind?” 7 Each of these presumes a completely different kind of enquiry from the other, and thus a different method; a fact Coleridge appears to have fully appreciated only during the composition of the Biographia.The Biographia’s problems have provoked a diverse range of critical responses over the years. 8 Among these, however, there is a more or less settled [End Page 126] opinion that Coleridge’s failure at this stage to come to terms with the Kant / Fichte / Schelling debate merely added to the difficulty of a work which, having begun its life as a reply to and a rebuttal of Wordsworth’s empirical and associative definition of imagination as set out in the Preface to his Poems (1815), had already far exceeded its initial plan both in scope and size. As the statement of his poetic principles and critique of Wordsworth had turned into a literary life, and this into a broader exploration of his developing views on epistemology, religion, and the history of language, so the “Preface” to the Sibylline Leaves (as it had originally been conceived) now dwarfed that work. Coleridge’s printer’s decision to produce the Biographia in two volumes only served to emphasize the break between its “philosophical” and literary-critical planes and the failure of Coleridge’s declared intention to apply the rules of art, “deduced from philosophical principles, to poetry and criticism.” 9Yet there was always something... (shrink)

Where there are infinitely many possible [equiprobable] basic states of the world, a standard probability function must assign zero probability to each state—since any finite probability would sum to over one. This generates problems for any decision theory that appeals to expected utility or related notions. For it leads to the view that a situation in which one wins a million dollars if any of a thousand of the equally probable states is realized has an expected value of zero (...) (since each such state has probability zero). But such a situation dominates the situation in which one wins nothing no matter what (which also has an expected value of zero), and so surely is more desirable. I formulate and defend some principles for evaluating options where standard probability functions cannot strictly represent probability—and in particular for where there is an infinitely spread, uniform distribution of probability. The principles appeal to standard probability functions, but overcome at least some of their limitations in such cases. (shrink)

continent. 1.2 (2011): 141-144. This January, while preparing a new course, Robert Seydel was struck and killed by an unexpected heart attack. He was a critically under-appreciated artist and one of the most beloved and admired professors at Hampshire College. At the time of his passing, Seydel was on the brink of a major artistic and career milestone. His Book of Ruth was being prepared for publication by Siglio Press. His publisher describes the book as: “an alchemical assemblage that composes (...) the life of his alter ego, Ruth Greisman— spinster, Sunday painter, and friend to Joseph Cornell and Marcel Duchamp. Through collages, drawings, and journal entries from Ruth’s imagined life, Seydel invokes her interior world in novelistic rhythms.” This convergence of his professional triumph with the tragedy of his death makes now a particularly appropriate time to think about Robert Seydel and his work. This feature contains a selection of excerpts from Book of Ruth (courtesy of Siglio Press) alongside a pair of texts remembering him and giving critical and biographical insights into his art and his person. These texts, from a former student and a colleague respectively, were originally prepared for Seydel's memorial at Hampshire College and have since been revised for publication in continent. For more information on Book of Ruth, please visit the book's page at the Siglio Press website. —Ben Segal draughty R. * Lauren van Haaften-Schick 2011 “The most apt way to order Smithson's library is with the conjunction 'and'; science and religion; modernism and mass culture; what is present and what is missing.” —Alexander Alberro, 248 Robert Seydel's classes on collage and collecting immersed his students in a curious world of cabinets, oddities, exhaustive archives and obscure histories, explored always with critical rigor and a sincere eye for wonder. His office was a compendium of the ancient, mythic, potential and unworldy, where seemingly unrelated references were endlessly pulled, piled and fused in an ecstatic dance of hyper-annotation. The small room and all its contents overflowed with notes tucked in every margin and corner. Books coated the walls like a switchboard, anxious and humming, waiting for infinite links to be activated. William Blake's books of Job and Urizen summoned Greek mythology and the animal as metaphor, leading to 19th century cryptozoology and the cave paintings at Lascaux, Gaston Bachelard's description of the bird in his garden and Robert Rauschenberg's Canyon . Tracking archetypes and following tangential threads, new revelations and ancient narratives were compiled and ordered to form a new text, a bibliography as assemblage, portrait and poem. Robert's library—one of his many collections—is a portrait, an “artifact, collage of time, a token and remnant” (Seydel, 2007) He is humming with it still. The imagination of this room—of Robert—breathes through the pages of Book of Ruth, as every decision and detail unfolds to a cosmos. Allegory, invention, personal and art histories are entangled and leveled, rendering lived, perceived and absorbed experiences indistinguishable. Anonymous scraps discovered on the street or studio floor, careful clippings and drawn figures are chosen and animated through serendipitous destruction and whimsical, delicate positioning. A precise vocabulary of characters and terms erupts and collapses as personas and passers-by wave and whisper, “Every figure reveals aspects of the total form, which is open and green” (Seydel, 2007). The initials R.S. repeat, a nod to Robert's true family tree and further complicating identification. Robt, Robert's sometimes alter-ego, appears in myriad forms as a trickster “half-wit,” mercurial and skittish, or soft and worn thin. Saul is a solemn tinkerer, parsing the world and sometimes blind. Ruth, the speaker of the book, records and translates all, her voice wavering between poetic verse and a cryptic half-speech as complex as it is sparse. The rhythm of frayed edges sets time - the weight of the world and the lightness of paper. Robert wrote of his process, “Material is essential; scuffings carry history, which wanders throughout” (Seydel, 2007). Collectors, assemblers, sway between careful movements of selection and placement as they pull from the found world, mediating calculated and unconscious association to form a lexicon of gestures, symbols and allusion, the “artifacts of a life... the refuse and rejecta of days” (Seydel, 2007). These assembled fragments shift and chatter, at home in their homelessness, actors performing in their own lives, populating an invented world of similar orphans. Such accumulated, severed parts carry the injury of their cutting and retain the evidence of their source, binding loss to creation in a symbiosis of trauma and repair. Mourning and remembrance are deeply embedded in the histories and acts of such practices. Grievance, acceptance, and the fragility of life are conveyed in the 18th century allegorical arrangements of fetal specimens by Frederik Ruysch. A certain melancholy reverence colors Joseph Cornell's intimately tactile assemblages rendering the universe tangible in miniature, or made in devotion to unrequited loves. Preserved in stasis, these ghosts and idols are kept in a purgatory where fact and fiction, past and present are irrelevant distinctions. Catalogued and contained, the subject of loss is transferred to an artifact. Every thread, scrap and letter may be glued, gathered and placed in a museum, a tomb, a box, a page, ripe and open for possession. Holding on to grief and reveling in disrepair, we opt to be haunted. Forever unbalanced and in flux, the sublime of collage is its resolve to irresolution. For Robert, “Art, as creation and as sign of primary Imagination, is not objects but a state, a kind of fluid” (Seydel, 2007) Reflecting on his work, life, and death, I am drawn to my library and the myriad titles acquired through his inspiration. There is Daniel Spoerri's An Anecdoted Topography of Chance , Susan Stewart's On Longing , various Borges, Barthes, Perec, and especially Life: A User's Manual , which concludes that the perfect puzzle will have no solution. I think of the drawers of miscellaneous swallowed objects at the Mutter Museum, Ray Johnson coding the every day in riddles, Wallace Berman twisting tongues, and Susan Hiller laying every detail to bear. Collectors and makers working in endless cycles of observation, ingestion and display. Every gesture informs and is defined by others, every space is shaped by that which surrounds and fills it, the knot has an inner logic, the gigantic is not so different from the miniature, there is a world in every detail, and “All art is collage” (Seydel, 2011) These thoughts have molded my life, my art, and all the minutia that keep the two so profoundly intertwined; There is no difference between life and what we do with our time. “I write my life. I make me up.” What a gift to share this secret way of knowing the world, and to leave this knowledge for us to do with what we please. “Art begins in admiration” (Seydel, 2011) Lauren van Haaften-Schick is a curator, writer and artist based in New York. Upcoming curatorial projects include "Cancelled" at the Center for Book Arts, and "The Spirit of the Signal" at Nicole Klagsbrun Gallery, New York. Recent activities include the workshops "Market, Alternative" and "Alternative Art Economies" at Trade School and Momenta Art, and the e-flux Time/Store, New York. She is the founding director of two arts spaces in Northampton, MA and Philadelphia, PA. She received a BA in Art History and Studio Art from Hampshire college in 2006. Sura Levine on Robert Seydel If early on in his time at Hampshire College I was officially his “mentor,” Robert Seydel quickly became one of my great teachers. Over the years we talked about everything, from art, music, collage, and poetry, to campus politics, this latter far too often. It was always a sublime pleasure, if all too rarely done, to enter his apartment to look at his work in progress, to peruse his bookshelves where, inevitably, there were always new treats to examine. And, while he was working on his Book of Ruth , I was given the opportunity over the course of many meals at the Korean and other restaurants, to talk with him about image and poem ordering. To see how he thought through each comma, each juxtaposition across the gutters of the Book, was to watch a brilliant curator at work. Each day, I walk past his wonderful collaged portrait of Ruth, purchased, after much haggling, as a birthday present, a couple of years ago. And each day, I think how lucky I am to have known Robert as he produced this magnum opus. One of my greatest pleasures in 24 years at the College was to teach “The Collector” with Robert. One of my greatest regrets is that the magic we created together in the classroom will not, and cannot, be duplicated. Its various incarnations, its utter intelligence and magic, were all so deeply Robert’s. His was a mind that put poetry, philosophy, history of science, and history together with art, and art together with music. His intellect and eye were unparalleled. He introduced us to so many artists. He shared his fascination with the cabinets of curiosity of Aldrovandi, of Seba, and Peter the Great’s collection of fetal anomalies, as well as the Museum of Jurassic Technology in Los Angeles. Robert knew them all and so many more. He was a walking encyclopedia, his home a great archive. Arcane knowledge, perhaps, but oh so important for another of Robert’s heroes, the mid-20th century Belgian artist Marcel Broodthaers, whose name he invariably mispronounced as “Broadthayers.” In speaking his name, Robert would always look in my direction in a panic, and then he go on and maul it. I absolutely loved his various mispronunciations of French names and terms! “The Collector” was always filled with talented young artists, art historians, philosophers and writers who all came to understand the wondrous obsessions of the figure of the collector. Students in this course created dazzling projects each term. He always moved while looking and speaking. He read deeply, and commented on everyone’s work with wonderful generosity. Robert always found something to praise even in the least developed of projects. Robert inspired and mentored all of his students into making work that far exceeded their expectations—and ours. For those of you who were lucky enough to have been touched by or to have had an evaluation written by Robert, savor it, keep it, reread it, and share it. He loved working with you all; it is somehow fitting that he died while prepping yet another new course. Robert, it’s almost impossible to speak of you in the past tense, even though you left us a month ago. No doubt, if you knew about our gatherings and celebrations of you, you would be embarrassed that we are making a fuss over you; you always placed the focus on others rather than on yourself. This trait is exactly why so many people miss you now. We’re here to love you publicly as we all did privately for the eleven years you were among us. Robert, my very dear friend, you were an extraordinary artist—you were my brother of choice. My heart broke when yours did. I miss you profoundly. —Sura Levine, February 26, 2011 Sura Levine is a professor of art history at Hampshire College. Her field of specialty is 19th century Belgian and French art, particularly realism and impressionism. Having worked in museums for a number of years both prior to coming to the College, and, as guest curator and co-author of exhibition catalogues, she became particularly interested in the history of museum and trends in collecting. It was because of their shared interests that she and Robert Seydel developed their course, The Collector, which they co-taught for many years. (shrink)

Any ethical inquiry into addiction research is faced with the preliminary challenge that the term “addiction” is itself a matter of scientific and ethical controversy. Accordingly, the chapter begins with a brief history of the term “addiction.” The chapter then turns to ethical issues surrounding consent and decision-making capacity viewed from the perspective of the current opioid epidemic. One concern is the neglect of the cyclical nature of addiction and the implications of this for the validity of current psychometric (...) instruments used to evaluate decision-making capacity in addiction. Another is the apparent discrepancy—possibly an ethical double standard—in the manner in which society and addiction researchers view the mental capacity and vulnerability of individuals who suffer from severe addiction. On the whole, the main ethical concern of the chapter is the puzzling lack of clinical research on decision-making capacity in research on addiction. (shrink)

People with the kind of preferences that give rise to the St. Petersburg paradox are problematic---but not because there is anything wrong with infinite utilities. Rather, such people cannot assign the St. Petersburg gamble any value that any kind of outcome could possibly have. Their preferences also violate an infinitary generalization of Savage's Sure Thing Principle, which we call the *Countable Sure Thing Principle*, as well as an infinitary generalization of von Neumann and Morgenstern's Independence axiom, which we call (...) *Countable Independence*. In violating these principles, they display foibles like those of people who deviate from standard expected utility theory in more mundane cases: they choose dominated strategies, pay to avoid information, and reject expert advice. We precisely characterize the preference relations that satisfy Countable Independence in several equivalent ways: a structural constraint on preferences, a representation theorem, and the principle we began with, that every prospect has a value that some outcome could have. (shrink)

Theories that use expected utility maximization to evaluate acts have difficulty handling cases with infinitely many utility contributions. In this paper I present and motivate a way of modifying such theories to deal with these cases, employing what I call “Direct Difference Taking”. This proposal has a number of desirable features: it’s natural and well-motivated, it satisfies natural dominance intuitions, and it yields plausible prescriptions in a wide range of cases. I then compare my account to the most plausible alternative, (...) a proposal offered by Arntzenius :31–58, 2014). I argue that while Arntzenius’s proposal has many attractive features, it runs into a number of problems which Direct Difference Taking avoids. (shrink)

Suppose you found that the universe around you was infinite—that it extended infinitely far in space or in time and, as a result, contained infinitely many persons. How should this change your moral decision-making? Radically, it seems, according to some philosophers. According to various recent arguments, any moral theory that is ’minimally aggregative’ will deliver absurd judgements in practice if the universe is (even remotely likely to be) infinite. This seems like sound justification for abandoning any such (...) theory. -/- My goal in this thesis is simple: to demonstrate that we need not abandon minimally aggregative theories, even if we happen to live in an infinite universe. I develop and motivate an extension of such theories, which delivers plausible judgements in a range of realistic cases. I show that this extended theory can overcome key objections—both old and new—and that it succeeds where other proposals do not. With this proposal in hand, we can indeed retain minimally aggregative theories and continue to make moral decisions based on what will promote the good. (shrink)

Some environmental ethicists and economists argue that attributing infinite value to the environment is a good way to represent an absolute obligation to protect it. Others argue against modelling the value of the environment in this way: the assignment of infinite value leads to immense technical and philosophical difficulties that undermine the environmentalist project. First, there is a problem of discrimination: saving a large region of habitat is better than saving a small region; yet if both outcomes have (...) infinite value, then decision theory prescribes indifference. Second, there is a problem of swamping probabilities: an act with a small but positive probability of saving an endangered species appears to be on par with an act that has a high probability of achieving this outcome, since both have infinite expected value. Our paper shows that a relative concept of infinite value can be meaningfully defined, and provides a good model for securing the priority of the natural environment while avoiding the failures noted by sceptics about infinite value. Our claim is not that the relative infinity utility model gets every detail correct, but rather that it provides a rigorous philosophical framework for thinking about decisions affecting the environment. (shrink)

This paper considers the trade-off between unanimity and anonymity in collective decision-making with an infinite population. This efficiency-equity trade-off is a fundamental difficulty in making a normative judgment in a conflict between generations. In particular, it is known that this trade-off is quite sensitive in the formulation of unanimity axioms. In this study, we consider the trade-off in a preference-aggregation framework instead of the standard utility-aggregation framework. We show that there exists a social welfare function that satisfies I-strong (...) Pareto, independence of irrelevant alternatives, and finite anonymity. This contrasts with an impossibility result in the standard utility-aggregation framework, and this means that the trade-off is also sensitive for background frameworks of aggregations. (shrink)

Idealization is ubiquitous in human cognition, and so is the inclination to be puzzled by it: what to make of ideal gas, infinitely large populations, homo economicus, perfectly just society, known to violate matters of fact? This is apparent in social science theorizing (from J. H. von Thünen, J. S. Mill, and Max Weber to Milton Friedman and Thomas Schelling), recent philosophy of science analyzing scientific modeling, and the debate over ideal and non-ideal theory in political philosophy (since John Rawls). (...) I will offer a set of concepts and principles to improve transparency about the precise contents of idealizations (in terms of negligibility, applicability, tractability, and early-step status) and their distinct functions (such as contributing to minimal modeling, benchmark modeling, and how-possibly modeling). (shrink)

For aggregative theories of moral value, it is a challenge to rank worlds that each contain infinitely many valuable events. And, although there are several existing proposals for doing so, few provide a cardinal measure of each world's value. This raises the even greater challenge of ranking lotteries over such worlds—without a cardinal value for each world, we cannot apply expected value theory. How then can we compare such lotteries? To date, we have just one method for doing so (proposed (...) separately by Arntzenius, Bostrom, and Meacham), which is to compare the prospects for value at each individual location, and to then represent and compare lotteries by their expected values at each of those locations. But, as I show here, this approach violates several key principles of decision theory and generates some implausible verdicts. I propose an alternative—one which delivers plausible rankings of lotteries, which is implied by a plausible collection of axioms, and which can be applied alongside almost any ranking of infinite worlds. (shrink)

The wuzzle-puzzle exercisé requires small groups of individuals to initially explore their diversity, explicate this diversity to the class, solve a wuzzle-puzzle series of anagrams on their own, and then solve a similar series in a diversified group. The improvement concomitant with a diverse group of individuals in the second, wuzzle-puzzle condition demonstrates that diversity may indeed improve decision-making. This demonstration may be of special interest to business educators and ethicists as they encourage group work. Further, (...) business practitioners may find the exercise useful for encouraging diversity in the workplace while improving teamwork, communication and cooperation among team members. (shrink)

The problem of how to rationally aggregate probability measures occurs in particular when a group of agents, each holding probabilistic beliefs, needs to rationalise a collective decision on the basis of a single ‘aggregate belief system’ and when an individual whose belief system is compatible with several probability measures wishes to evaluate her options on the basis of a single aggregate prior via classical expected utility theory. We investigate this problem by first recalling some negative results from preference and (...) judgment aggregation theory which show that the aggregate of several probability measures should not be conceived as the probability measure induced by the aggregate of the corresponding expected utility preferences. We describe how McConway’s :410–414, 1981) theory of probabilistic opinion pooling can be generalised to cover the case of the aggregation of infinite profiles of finitely additive probability measures, too; we prove the existence of aggregation functionals satisfying responsiveness axioms à la McConway plus additional desiderata even for infinite electorates. On the basis of the theory of propositional-attitude aggregation, we argue that this is the most natural aggregation theory for probability measures. Our aggregation functionals for the case of infinite electorates are neither oligarchic nor integral-based and satisfy a weak anonymity condition. The delicate set-theoretic status of integral-based aggregation functionals for infinite electorates is discussed. (shrink)

The Puzzle of the Hats is a betting arrangement which seems to show that a Dutch book can be made against a group of rational players with common priors who act in the common interest and have full trust in the other players’ rationality. But we show that appearances are misleading—no such Dutch book can be made. There are four morals. First, what can be learned from the puzzle is that there is a class of situations in which (...) credences and betting rates diverge. Second, there is an analogy between ways of dealing with situations of this kind and different policies for sequential choice. Third, there is an analogy with strategic voting, showing that the common interest is not always served by expressing how things seem to you in social decision-making. And fourth, our analysis of the Puzzle of the Hats casts light on a recent controversy about the Dutch book argument for the Sleeping Beauty. (shrink)

We examine a distinctive kind of problem for decision theory, involving what we call discontinuity at infinity. Roughly, it arises when an infinite sequence of choices, each apparently sanctioned by plausible principles, converges to a ‘limit choice’ whose utility is much lower than the limit approached by the utilities of the choices in the sequence. We give examples of this phenomenon, focusing on Arntzenius et al.’s Satan’s apple, and give a general characterization of it. In these examples, repeated (...) dominance reasoning (a paradigm of rationality) apparently gives rise to a situation closely analogous to having intransitive preferences (a paradigm of irrationality). Indeed, the agents in these examples are vulnerable to a money pump set-up despite having preferences that exhibit no obvious defect of rationality. We explore several putative solutions to such problems, particularly those that appeal to binding and to deliberative dynamics. We consider the prospects for these solutions, concluding that if they fail, the examples show that money pump arguments are invalid. (shrink)

In this paper, I will examine a puzzling discrepancy between the way clinicians are allowed to treat their patients and the way researchers are allowed to treat their subjects: in certain cases, researchers are legally required to disclose quite a bit more information when obtaining consent from prospective subjects than clinicians are when obtaining consent from prospective patients. I will argue that the proper resolution of this puzzling discrepancy must appeal to a pragmatic criterion of disclosure for informed consent: that (...) what needs to be disclosed in order for consent to be valid depends on what the patient/subject needs to know in order to make a decision. I will then use this pragmatic criterion of disclosure to argue that when obtaining consent researchers should be permitted to omit the same information clinicians are, given certain qualifications. I will also examine how this puzzle forces us to confront some perhaps surprising truths about valid consent. My broader aim in this paper is to examine, not so much the puzzle itself, but rather what this particular puzzle can teach us about more theoretical issues surrounding informed consent. (shrink)

As Socially Responsible Investment (SRI) enters the mainstream of professional and institutional investment practice, some perplexities arise. Some SRI market participants are well schooled in finance but are hesitative as to how to apply non-financial criteria in the management of portfolios. Governments too are giving SRI more attention and, in some countries, are discussion whether and how to regulate the SRI market. Advocacy groups are targeting SRI projects through media campaigns using political discourse. Many of the pertinent questions that come (...) with these perplexities are of the philosophical or ethical type and concern legitimisation, demarcation of responsibilities, interpretation of norms and policy formulation. The inclusion of non-financial criteria into investment decision-making leads to a ‹puzzle in SRI’ for which this article offers a solution. The puzzle arises when the day-to-day implementation of an SRI-policy coincides with the process of administering justice. Three questions make up that puzzle: (1) what should an␣investor do when allegations arise about a corporation, (2) what should an investor do when a corporation is brought before a court, (3) what should an investor do when a corporation is found guilty by a court. This article argues, by distinguishing between the rationality of the investor and that of the judge, that allegations, court cases or court verdicts should not be reasons to disinvest from a corporation. This article offers examples from investor practice and points out in which way allegations, court cases and court verdicts make sense for investor behaviour. (shrink)

As Socially Responsible Investment (SRI) enters the mainstream of professional and institutional investment practice, some perplexities arise. Some SRI market participants are well schooled in finance but are hesitative as to how to apply non-financial criteria in the management of portfolios. Governments too are giving SRI more attention and, in some countries, are discussion whether and how to regulate the SRI market. Advocacy groups are targeting SRI projects through media campaigns using political discourse. Many of the pertinent questions that come (...) with these perplexities are of the philosophical or ethical type and concern legitimisation, demarcation of responsibilities, interpretation of norms and policy formulation. The inclusion of non-financial criteria into investment decision-making leads to a 'puzzle in SRI' for which this article offers a solution. The puzzle arises when the day-to-day implementation of an SRIpolicy coincides with the process of administering justice. Three questions make up that puzzle: (1) what should an investor do when allegations arise about a corporation, (2) what should an investor do when a corporation is brought before a court, (3) what should an investor do when a corporation is found guilty by a court. This article argues, by distinguishing between the rationality of the investor and that of the judge, that allegations, court cases or court verdicts should not be reasons to disinvest from a corporation. This article offers examples from investor practice and points out in which way allegations, court cases and court verdicts make sense for investor behaviour. (shrink)

Although expected utility theory has proven a fruitful and elegant theory in the finite realm, attempts to generalize it to infinite values have resulted in many paradoxes. In this paper, we argue that the use of John Conway's surreal numbers shall provide a firm mathematical foundation for transfinite decision theory. To that end, we prove a surreal representation theorem and show that our surreal decision theory respects dominance reasoning even in the case of infinite values. We (...) then bring our theory to bear on one of the more venerable decision problems in the literature: Pascal's Wager. Analyzing the wager showcases our theory's virtues and advantages. To that end, we analyze two objections against the wager: Mixed Strategies and Many Gods. After formulating the two objections in the framework of surreal utilities and probabilities, our theory correctly predicts that (1) the pure Pascalian strategy beats all mixed strategies, and (2) what one should do in a Pascalian decision problem depends on what one's credence function is like. Our analysis therefore suggests that although Pascal's Wager is mathematically coherent, it does not deliver what it purports to, a rationally compelling argument that people should lead a religious life regardless of how confident they are in theism and its alternatives. (shrink)

I explain the shutdown problem: the problem of designing artificial agents that (1) shut down when a shutdown button is pressed, (2) don’t try to prevent or cause the pressing of the shutdown button, and (3) otherwise pursue goals competently. I prove three theorems that make the difficulty precise. These theorems show that agents satisfying some innocuous-seeming conditions will often try to prevent or cause the pressing of the shutdown button, even in cases where it’s costly to do so. And (...) patience trades off against shutdownability: the more patient an agent, the greater the costs that agent is willing to incur to manipulate the shutdown button. I end by noting that these theorems can guide our search for solutions. (shrink)

I criticize two accounts of the temporal asymmetry of electromagnetic radiation - that of Huw Price, whose account centrally involves a reinterpretation of Wheeler and Feynman's infinite absorber theory, and that of Dieter Zeh. I then offer some reasons for thinking that the purported puzzle of the arrow of radiation does not present a genuine puzzle in need of a solution.

Pascal's wager has fascinated philosophers far in excess of its reputation as effective apologetics. Very few of the wager's defenders, in fact, have retained more than an academic interest in its power to persuade. Partly this is a matter of good manners. Pascal is supposed to have pitched his wager at folks who understand only self-interested motivations, and today it is no longer fashionable for defenders of theism to disparage the character of their opponents. But partly the low-key concern with (...) apologetics expresses a philosophical judgement. Pascal's defenders have found the question of the wager's audience to be less philosophically engaging than the logic of its argument. I believe that this assessment is mistaken. The most puzzling feature of Pascal's wager is its invocation of infinite utility. What are finite human beings, theists or otherwise, supposed to make of the idea of an infinitely desirable happiness? There are, I will argue, two sorts of response to this question, and depending on which sort Pascal had in mind, the logic of his wager comes out very differently. (shrink)

William Hasker has been one of the most trenchant and insightful critics of the revival of Molinism. He has focused on the “freedom problem”, a set of challenges designed to show that Molinism does not secure a place for genuinely free human action. These challenges focus on a key element in the Molinist story: the counterfactual conditionals of creaturely freedom. According to Molinism, these conditionals have contingent truth-values that are knowable to God prior to His decision of what world (...) to actualize. This divine “middle knowledge” is supposed to enable God to execute a detailed plan for world history without any loss of creaturely freedom. Hasker has argued that this middle knowledge nonetheless deprives us of the power to do otherwise than we do, a crucial element in human freedom and responsibility. I hope to accomplish three things in this paper. First, I want to step back a bit and explore the nature of the conditionals of creaturely free decision-making, bringing out some of the difficulties in delimiting their scope and nature. Second, I will explore the implications of different answers to an important question that has not been addressed in the literature: whether we have counterfactual power over the conditionals of divine freedom. And, third, I would like to recommend to Molinists a revision that offers a solution to the freedom problem. (shrink)

There are infinitely many ways the world might be, and there may well be infinitely many people in it. These facts raise moral paradoxes. We explore a conflict between two highly attractive principles: a Pareto principle that says that what is better for everyone is better overall, and a statewise dominance principle that says that what is sure to turn out better is better on balance. We refine and generalize this paradox, showing that the problem is faced by many theories (...) of interpersonal aggregation besides utilitarianism, and by many decision theories besides expected value theory. Considering the range of consistent responses, we find all of them to be quite radical. (shrink)

A comment on Paul Schoemaker's target article in Behavioral and Brain Sciences, 14 (1991), p. 205-215, "The Quest for Optimality: A Positive Heuristic of Science?" (https://doi.org/10.1017/S0140525X00066140). This comment argues that the optimizing model of decision leads to an infinite regress, once internal costs of decision (i.e., information and computation costs) are duly taken into account.

Most of our best scientific descriptions of the world employ rates of change of some continuous quantity with respect to some other continuous quantity. For instance, in classical physics we arrive at a particle’s velocity by taking the time-derivative of its position, and we arrive at a particle’s acceleration by taking the time-derivative of its velocity. Because rates of change are defined in terms of other continuous quantities, most think that facts about some rate of change obtain in virtue of (...) facts about those other continuous quantities. For example, on this view facts about a particle’s velocity at a time obtain in virtue of facts about how that particle’s position is changing at that time. In this paper we raise a puzzle for this orthodox reductionist account of rate of change quantities and evaluate some possible replies. We don’t decisively come down in favour of one reply over the others, though we say some things to support taking our puzzle to cast doubt on the standard view that spacetime is continuous. (shrink)

It is possible that the world contains infinitely many agents that have positive and negative levels of well-being. Theories have been developed to ethically rank such worlds based on the well-being levels of the agents in those worlds or other qualitative properties of the worlds in question, such as the distribution of agents across spacetime. In this thesis I argue that such ethical rankings ought to be consistent with the Pareto principle, which says that if two worlds contain the same (...) agents and some agents are better off in the first world than they are in the second and no agents are worse off than they are in the second, then the first world is better than the second. I show that if we accept four axioms – the Pareto principle, transitivity, an axiom stating that populations of worlds can be permuted, and the claim that if the ‘at least as good as’ relation holds between two worlds then it holds between qualitative duplicates of this world pair – then we must conclude that there is ubiquitous incomparability between infinite worlds. I show that this is true even if the populations of infinite worlds are disjoint or overlapping, and that we cannot use any qualitative properties of world pairs to rank these worlds. Finally, I argue that this incomparability result generates puzzles for both consequentialist and non-consequentialist theories of objective and subjective permissibility. (shrink)

A famous mathematical theorem says that the sum of an infinite series of numbers can depend on the order in which those numbers occur. Suppose we interpret the numbers in such a series as representing instances of some physical quantity, such as the weights of a collection of items. The mathematics seems to lead to the result that the weight of a collection of items can depend on the order in which those items are weighed. But that is very (...) hard to believe. A puzzle then arises: How do we interpret the metaphysical significance of this mathematical theorem? I first argue that prior solutions to the puzzle lead to implausible consequences. Then I develop my own solution, where the basic idea is that the weight of a collection of items is equal to the limit of the weights of its finite subcollections contained within ever-expanding regions of space. I show how my solution is intuitively plausible and philosophically motivated, how it reveals an underexplored line of metaphysical inquiry about quantities and locations, and how it elucidates some classic puzzles concerning supertasks. (shrink)

Climate change has made pressing the question of why we do little to reduce greenhouse gas emissions. By analogy to the puzzle of the self-torturer, I argue that even if interpersonal and intergenerational conflicts of interest were resolved, we may still end up in a regretful environmental state when we aim to maximize our net benefit derived from polluting activities. This is because a rational agent with transitive preferences making climate change decisions faces incentives to over-pollute. This is caused (...) by the presence of marginal costs that are uninformative of well-being in an uncertain and intertemporal decision problem. (shrink)

Adolescents present a puzzle. There are foundational unclarities about how they should be regarded as decision-makers. Although superficially adolescents may appear to have mature decisional capacity, their decision-making is in many ways unlike that of adults. Despite this seemingly obvious fact, a concern for the claims of autonomy has led to the development of the legal doctrine of the mature minor. This legal construct considers adolescents, as far as possible, as equivalent to adults for the purpose of (...) medical decision-making. The movement to support independent decision-making by adolescents through providing information to them and securing their consent apart from their parents is encouraged by those legal understandings that hold that unemancipated minors should generally be considered as possessing effective decisional capacity. Such legal structures, however, do not adequately take account of the wide variations in adolescent capacities, the immaturity of most adolescent decision-makers, or the important contributions made by parents to the development of their adolescents through parental partnering in the adolescent’s decision-making. The data available indicate that in general adolescents should be regarded as apprentice decision-makers who should make decisions in collaboration with their parents until at least the age of 18. Steps should not be taken pre-emptively to isolate adolescents from the guidance of their parents. As a general rule, what Piker has referred to as “collaborative paternalism” appears most likely both to protect adolescents from their own untoward choices, while also very importantly helping them with parental guidance to develop into mature decision-makers with the capacity to make medical choices on their own. (shrink)