According to Alberto Coffa in The Semantic Tradition from Kant to Carnap, Kant’s account of mathematical judgment is built on a ‘semantic swamp’. Kant’s primitive semantics led him to appeal to pure intuition in an attempt to explain mathematical necessity. The appeal to pure intuition was, on Coffa’s line, a blunder from which philosophy was forced to spend the next 150 years trying to recover. This dismal assessment of Kant’s contributions to the evolution of accounts of mathematical necessity is fundamentally (...) backward-looking. Coffa’s account of how semantic theories of the a priori evolved out of Kant’s doctrine of pure intuition rightly emphasizes those developments, both scientific and philosophical, that collectively served to undermine the plausibility of Kant’s account. What is missing from Coffa’s story, apart from any recognition of Kant’s semantic innovations, is an attempt to appreciate Kant’s philosophical context and the distinctive perspective from which Kant viewed issues in the philosophy of mathematics. When Kant’s perspective and context are brought out, he can not only be seen to have made a genuinely progressive contribution to the development of accounts of mathematical necessity, but also to be relevant to contemporary issues in the philosophy of mathematics in underappreciated ways. (shrink)

According to Alberto Coffa in The Semantic Tradition from Kant to Carnap, Kant’s account of mathematical judgment is built on a ‘semantic swamp’. Kant’s primitive semantics led him to appeal to pure intuition in an attempt to explain mathematical necessity. The appeal to pure intuition was, on Coffa’s line, a blunder from which philosophy was forced to spend the next 150 years trying to recover. This dismal assessment of Kant’s contributions to the evolution of accounts of mathematical necessity is fundamentally (...) backward-looking. Coffa’s account of how semantic theories of the a priori evolved out of Kant’s doctrine of pure intuition rightly emphasizes those developments, both scientific and philosophical, that collectively served to undermine the plausibility of Kant’s account. What is missing from Coffa’s story, apart from any recognition of Kant’s semantic innovations, is an attempt to appreciate Kant’s philosophical context and the distinctive perspective from which Kant viewed issues in the philosophy of mathematics. When Kant’s perspective and context are brought out, he can not only be seen to have made a genuinely progressive contribution to the development of accounts of mathematical necessity, but also to be relevant to contemporary issues in the philosophy of mathematics in underappreciated ways. (shrink)

Organic chemists have been able to develop a robust, theoretical understanding of the phenomena they study; however, the primary theoretical devices employed in this field are not mathematical equations or laws, as is the case in most other physical sciences. Instead it is the diagram, and in particular the structural formula, that carries the explanatory weight in the discipline. To understand how this is so, it is necessary to investigate both the nature of the diagrams employed in organic chemistry and (...) how these diagrams are used in the explanations of the discipline. I will begin this paper by describing and characterizing the roles of the most important sort of diagram used in organic chemistry. Next I will present a model of explanations in organic chemistry and describe how diagrams contribute to these explanations. This will be followed by two examples that will support my abstract account of the role of diagrams in the explanations of organic chemistry. (shrink)

In my dissertation, I argue that contemporary interpretive work on Kant's philosophy of geometry has failed to understand properly the diagrammatic aspects of Euclidean reasoning. Attention to these aspects is amply repaid, not only because it provides substantial insight into the role of intuition in Kant's philosophy of mathematics, but also because it brings out both the force and the limitations of Kant's philosophical account of geometry. ;Kant characterizes the predecessors with which he was engaged as agreeing that mathematical judgments (...) are analytic a priori. This is an inadequate account of geometrical judgments for Kant, because it cannot be reconciled with the evident success of the Euclidean practice in producing a priori knowledge of the nature of space. The ubiquitous presence of diagrams in Euclidean proofs suggests that, at least in Kant's time, any plausible account of the establishment of geometrical judgments must provide for the role of quasi-perceptual representations of individuals. Kant's claim that mathematical judgments are synthetic a priori reflects, in its positive aspect, his recognition of the importance of these 'intuitive' representations to Euclidean reasoning. Furthermore, Kant's doctrine that geometrical knowledge is established by the construction of concepts in intuition can be usefully understood as an attempt to accommodate the role of diagrams in the establishment of synthetic a priori geometrical judgments. ;Both Kant's rejection of the analytic a priori account of mathematics and his positive account of geometry depend on the plausibility of his appeals to Euclidean practice. Attention to the role of diagrams in Euclidean proof supports Kant's contention that intuitive representations are an essential component of Euclidean reasoning; however, the role of diagrams in both reductio proofs and in proofs by cases brings out tensions in Kant's positive account. The use of diagrams to represent impossible geometrical situations in reductio proofs indicates that Kant's notion of 'construction in intuition' can have a broader application than the construction of instances of geometrical concepts . Similarly, proofs by cases undermine Kant's attempts to explain the generality of judgments established through the consideration of individuals by appeal to the rules for the construction of those individuals. ;Contemporary interpretive debates about Kant's philosophy of geometry have centered on the philosophical role played by his appeal to intuition. This appeal cannot be primarily understood as an attempt to establish that the fundamental assumptions of Euclidean geometry are necessary truths about space. Nor can the role for intuition be regarded as merely licensing moves in geometrical proofs like an inference rule in modern logic. Instead, by understanding Kant's appeal to intuition as, at least in part, an attempt to accommodate the diagrammatic features of Euclidean reasoning, a much richer role for intuition is revealed. Intuition is required to play a logical role by expressing spatial relationships and establishing the existence of geometrical entities. In addition, it plays a quasi-perceptual role by supporting the truth of certain claims appealed to during the course of Euclidean proof. (shrink)

This dissertation is structured as a debate between Wittgenstein and Habermas concerning the rational implications of linguistic practices. The topic of the debate is set by Habermas's claim that the pragmatic presuppositions of everyday speech acts commit speakers to resolve differences, including differences in their linguistic and reasoning practices, through a process of rational argumentation called discourse. By contrast, Wittgenstein sees linguistic and reasoning practices as the given parameters of all argumentation, such that they themselves are not open to rational (...) criticism. ;The approach taken is to reconstruct and evaluate each of these positions in detail. After an introduction to Wittgenstein's language-game model of linguistic practices, his remarks concerning rule-following are subjected to a careful analysis. Using Kripke's interpretation as a foil, the argument is made that Wittgenstein does not seek a standard for the correct application of a rule distinct from how one actually applies it, but instead shows that such standards can ultimately be no part of the practice of following a rule. Specifically, intersubjective agreement is not needed as a standard; contrary to what is usually thought, Wittgenstein shows that monological rule-following is possible. This finding is then applied to reasoning practices, with the provisional conclusion that a practice of reasoning as a whole is also not open to rational criticism, but is instead marked by acritical certainty. ;Next Habermas's model of communicative action is reconstructed to show how it implies that given linguistic and reasoning practices must be open to rational criticism. Two arguments supporting this model are then distinguished and examined: one based on the distinction between illocution and perlocution, the other based on a pragmatic theory of meaning. Both are found insufficient to substantiate Habermas's claims against Wittgenstein. The conclusion is therefore drawn that everyday linguistic practices do not commit speakers to critical discourses. ;Against both thinkers, however, I argue that linguistic practices themselves need not license their own critical evaluation for it to be rational. Hence, rational criticism of these practices may still be possible, even where it is not required. (shrink)

We propose an adynamical, background independent approach to quantum gravity and unification whereby the fundamental elements of Nature are graphical units of space, time and sources. The transition amplitude for these elements of “spacetimesource” is computed using a path integral with discrete Gaussian graphical action. The unit of action for a spacetimesource element is constructed from a difference matrix K and source vector J on the graph, as in lattice gauge theory. K is constructed from graphical relations so that it (...) contains a non-trivial null space, and J is then restricted to the column space of K which ensures it is distributed in a divergence-free fashion over the spacetime defined by the element. This rule for the relational construct of K and J is our proposed fundamental axiom of physics and results in a self-consistency relationship between sources, the spacetime metric, and the stress-energy-momentum content of the element, rather than a dynamical law for time-evolved entities. In its most general form, the set of fundamental elements employed by lattice gauge theory contains scalar fields on nodes and links, and vector fields on nodes. To complete the fundamental set, we propose the addition of scalar fields on plaquettes and vector fields on links. We use this approach via modified Regge calculus to correct proper distance in the Einstein-deSitter cosmology model yielding a fit of the Union2 Compilation supernova data that matches ɅCDM without having to invoke accelerating expansion or dark energy. (shrink)

The Relational Blockworld (RBW) interpretation of non-relativistic quantum mechanics (NRQM) is introduced. Accordingly, the spacetime of NRQM is a relational, non-separable blockworld whereby spatial distance is only defined between interacting trans-temporal objects. RBW is shown to provide a novel statistical interpretation of the wavefunction that deflates the measurement problem, as well as a geometric account of quantum entanglement and non-separability that satisfies locality per special relativity and is free of interpretative mystery. We present RBW’s acausal and adynamical resolution of the (...) so-called “quantum liar paradox,” an experimental set-up alleged to be problematic for a spacetime conception of reality, and conclude by speculating on RBW’s implications for quantum gravity. (shrink)

The biosphere coevolves with the atmosphere, hydrosphere and lithosphere to maintain a habitable space on Earth. Over billions of years – and despite periodic setbacks – it has evolved increasing complexity, from its microbial beginnings to the complex interactions between animals, plants, fungi and unicellular microscopic life that sustain its present state. Recently, the biosphere has been profoundly changed by humans. In part, this includes increased rates of extinction that are reminiscent of past fundamental perturbations to life. But the change (...) is even more profound, resulting from a combination of marked translocations of species beyond their indigenous ranges, overt concentration of biomass in humans and their farm animals, reconfiguration of landscape habitats and over-utilisation of ocean life, excessive appropriation of energy from the biosphere (including its fossilised component), and increasing interconnectivity between technology and life. (shrink)

Notions of the cosmos are deep-rooted in human consciousness. They are expressed in our earliest monumental constructions as explanations of the world around us and in the practices of many indigenous peoples. Here we examine the physical cosmos from the perspective of life on Earth. We note a central importance for the Earth in the vastness of space, as a planetary oasis for a highly complex and long-lived biosphere, one now being fundamentally altered by humans. We refer to other notions (...) of the cosmos that may enable us to navigate a better path for life in the Anthropocene. (shrink)

We discuss the cities of the future, and how they might co-habit with the biosphere in a more mutually beneficial way. Mutualistic cities would blend with their local ecology, co-existing with the immediately available resources of water, life, energy and materials, and enhancing the biosphere so that many species can thrive, including people. Such cities can make a significant contribution to stabilizing the Earth System by sustaining and nurturing life in tune with the evolving local ecology through cyclic economies and (...) values prioritizing mutually supportive communities over economic growth. The term “mutualism” comes from biology, referring to inter-species relationships that are beneficial. Mutualistic cities would benefit human and non-human inhabitants by recycling materials, clean air, and water, and providing habitats for many species. (shrink)

ObjectiveBulimia nervosa and binge eating disorder are eating disorders characterized by recurrent binge eating episodes. Overlap exists between ED diagnostic groups, with BE episodes presenting one clinical feature that occurs transdiagnostically. Neuroimaging of the responses of those with BN and BED to disorder-specific stimuli, such as food, is not extensively investigated. Furthermore, to our knowledge, there have been no previous published studies examining the neural response of individuals currently experiencing binge eating, to low energy foods. Our objective was to examine (...) the neural responses to both low energy and high energy food images in three emotive categories in BN and BED participants.MethodsNineteen females with BN or BED, comprising the binge eating group, and 19 age-matched healthy control ’s completed thorough clinical assessment prior to functional MRI. Neural response to low energy and high energy foods and non-food images was compared between groups using whole-brain exploratory analyses, from which six regions of interest were then selected: frontal, occipital, temporal, and parietal lobes; insula and cingulate.ResultsIn response to low energy food images, the BEG demonstrated differential neural responses to all three low energy foods categories compared to HCs. Correlational analyses found a significant association between frequency of binge episodes and diminished temporal lobe and greater occipital lobe response. In response to high energy food images, compared to HC’s, the BEG demonstrated significantly decreased neural activity in response to all high energy food images. The HC’s had significantly greater neural activity in the limbic system, occipital lobe, temporal lobe, frontal lobe, and limbic system in response to high energy food images.ConclusionResults in the low energy food condition indicate that binge frequency may be related to increased aberrant neural responding. Furthermore, differences were found between groups in all ROI’s except the insula. The neural response seen in the BEG to disgust food images may indicate disengagement with this particular stimuli. In the high energy food condition, results demonstrate that neural activity in BN and BED patients may decrease in response to high energy foods, suggesting disengagement with foods that may be more consistent with those consumed during a binge eating episode. (shrink)

We propose a path integral over graphs approach to quantum gravity and unification that requires a modification and reinterpretation of both general relativity and quantum field theory via their graphical instantiations, Regge calculus and lattice gauge theory, respectively. As we outline below, the spacetime metric and the matter and gauge field gradients on the graph are co-determining, so there is no “background spacetime” connoting existence independent of matter-energy-momentum, and the graphical action can be characterized geometrically via graphical boundary operators.

In this paper we argue that individuals in modern societies can share a general appreciation of the contingency of moral and political engagement without endangering these purposeful attachments. Depending upon the acceptance of various cognitive conventions, social practices and institutions cannot be sustained by appeals to advantage alone, but these conventions do not demand ontological commitment. Transparent fictions rather than ideological illusions can suffice to sustain valued forms of life. In contrast to Rorty's ironic society in which "only the intellectuals (...) would be ironists", we suggest the benign disillusionment can characterize the public generally. (shrink)

The Anthropocene concept arose within the Earth System science community, albeit explicitly as a geological time term. Its current analysis by the stratigraphical community, as a potential formal addition to the Geological Time Scale, necessitates comparison of the methodologies and patterns of enquiry of these two communities. One means of comparison is to consider some of the most widely used results of the ESS, the ‘planetary boundaries’ concept of Rockström and colleagues, and the ‘Great Acceleration’ graphs of Steffen and colleagues, (...) in terms of their stratigraphical expression. This expression varies from virtually non-existent to pronounced and many-faceted, while in some cases stratigraphical proxies may help constrain anthropogenic process. The Anthropocene concepts of the ESS and stratigraphy emerge as complementary, and effective stratigraphic definition should facilitate wider transdisciplinary communication. (shrink)

This collection of Habermas's recent essays on philosophical topics continues the analysis begun in The Philosophical Discourse of Modernity. In a short introductory essay, he outlines the sources of twentieth-century philosophizing, its major themes, and the range of current debates. The remainder of the essays can be seen as his contribution to these debates.Habermas's essay on George Herbert Mead is a focal point of the book. In it he sketches a postmetaphysical, intersubjective approach to questions of individuation and subjectivity. In (...) other essays, he develops his distinctive, communications-theoretic approach to questions of meaning and validity. The book as a whole expands on his earlier efforts to define a middle ground between nostalgic revivals of metaphysical conceptions of reason and radical deconstructions of reason. Jürgen Habermas is Professor of Philosophy at the University of Frankfurt.The Essays: The Horizon of Modernity is Shifting. Metaphysics after Kant. Themes in Postmetaphysical Thinking. Toward a Critique of the Theory of Meaning. Peirce and Communication. The Unity of Reason in the Diversity of Its Voices. Individuation through Socialization: On George Herbert Mead's Theory of Subjectivity. Philosophy and Science as Literature? (shrink)

The Anthropocene Working Group of the Subcommission on Quaternary Stratigraphy, of the International Commission on Stratigraphy, has been active since 2009. Its primary role is to consider the Anthropocene as a potential formal addition to the Geological Time Scale. Unusual in composition because many members work in disciplines other than stratigraphic geology —the Anthropocene incorporates geological, historical, and instrumental records— it initially needed to establish whether the Anthropocene could be the basis of a valid chronostratigraphic unit. That task achieved, work (...) then focused on gathering evidence from 12 sections in different geological settings around the world, to establish which of these might be proposed as a Global boundary Stratotype Section and Point (GSSP, or ‘golden spike’) to define the Anthropocene formally. The Group aims to submit a formal proposal on this in 2023. (shrink)

We articulate the problems posed by the quantum liar experiment (QLE) for backwards causation interpretations of quantum mechanics, time-symmetric accounts and other dynamically oriented local hidden variable theories. We show that such accounts cannot save locality in the case of QLE merely by giving up “lambda-independence.” In contrast, we show that QLE poses no problems for our acausal Relational Blockworld interpretation of quantum mechanics, which invokes instead adynamical global constraints to explain Einstein–Podolsky–Rosen (EPR) correlations and QLE. We make the case (...) that the acausal and adynamical perspective is more fundamental and that dynamical entities obeying dynamical laws are emergent features grounded therein. (shrink)

Research has shown that adults can engage in cognitive offloading, whereby internal processes are offloaded onto the environment to help task performance. Here, we investigate an application of this approach with children, in particular children with poor working memory. Participants were required to remember and recall sequences of colors by placing colored blocks in the correct serial order. In one condition the blocks were arranged to facilitate cognitive offloading (i.e., grouped by color), whereas in the other condition they were arranged (...) randomly. Across two experiments (total N = 166) the ordered condition improved task performance for children with low working memory ability. In addition, participants in Experiment 2 rated the difficulty of the two arrangements and performed a further condition in which they were given an opportunity to freely arrange the blocks before completing the task. Despite performing better in the ordered condition, children with low working memory ability did not rate the ordered arrangement as easier, nor did they choose an ordered arrangement when given the opportunity to do so. This research shows that cognitive offloading can also be a useful process in populations other than typical adults, and the implications of this work for supporting children with poor working memory are discussed. (shrink)

This book is about the ethical issues that clinicians encounter as they care for patients and is written to assist those who serve on hospital ethics committees as they deliberate about appropriate action in difficult ethical cases.

Written by the great medieval Jewish philosopher Maimonides, The Guide of the Perplexed attempts to explain the perplexities of biblical language--and apparent inconsistencies in the text--in the light of philosophy and scientific reason. Composed as a letter to a student, The Guide aims to harmonize Aristotelian principles with the Hebrew Bible and argues that God must be understood as both unified and incorporeal. Engaging both contemporary and ancient scholars, Maimonides fluidly moves from cosmology to the problem of evil to the (...) end goal of human happiness. His intellectual breadth and openness makes The Guide a lasting model of creative synthesis in biblical studies and philosophical theology. (shrink)

Volume 39 of the Tanner Lectures on Human Values includes lectures initially scheduled during the academic year 2019-2020. Owing to the global coronavirus pandemic, some were delivered at a later date. The Tanner Lectures are published in an annual volume. In addition to permanent lectures at nine universities, the Tanner Lectures on Human Values funds special one-time lectures at selected higher educational institutions in the United States and around the world.

This paper considers two recent arguments that structure should not be regarded as the fundamental individuating property of proteins. By clarifying both what it might mean for certain properties to play a fundamental role in a classification scheme and the extent to which structure plays such a role in protein classification, I argue that both arguments are unsound. Because of its robustness, its importance in laboratory practice, and its explanatory centrality, primary structure should be regarded as the fundamental distinguishing characteristic (...) of protein taxonomy. (shrink)

This paper evaluates a general argument for the conclusion that visual representations in science must play the role of truth bearers if they are to figure as legitimate contributors to scientific arguments and explanations. The argument is found to be unsound. An alternative approach to assessing the role of visual representations in science is exemplified by an examination of the role of structural formulas in organic chemistry. Structural formulas are found not to play the role of truth bearers; nonetheless, they (...) contribute to the arguments and explanations of organic chemistry. An early success of conformational analysis is presented in order to illustrate the role of structural formulas in the discourse of organic chemistry. *Received January 2007; revised July 2009. †To contact the author, please write to: Department of Philosophy and Religious Studies, Rowan University, 201 Mullica Hill Road, Glassboro, NJ 08028; e‐mail: goodwin@rowan.edu. (shrink)

In recent years evolutionary theorists have been engaged in a protracted and bitter disagreement concerning how natural selection affects units such as genes, individuals, kin groups, and groups. Central to this debate has been whether selective pressures affecting group success can trump the selective pressures that confer advantage at the individual level. In short, there has been a debate about the utility of group selection, with noted theorist Steven Pinker calling the concept useless for the social sciences. We surveyed 175 (...) evolutionary anthropologists to ascertain where they stood in the debate. We found that most were receptive to group selection, especially in the case of cultural group selection. The survey also revealed that liberals and conservatives, and males and females, all displayed significant differences of opinion concerning which selective forces were important in humanity’s prehistory. We conclude by interpreting these findings in the context of recent research in political psychology. (shrink)

This paper characterizes the increase in ‘scientific understanding’ that resulted from the Ingold Revolution in organic chemistry. By describing both the sorts of explanations facilitated by Ingold’s Revolution and the sense in which organic chemistry was ‘unified’ by adopting these approaches to explanation, one can appreciate how this revolution led to a dramatic qualitative improvement in organic chemists’ understanding of the phenomena that they study. The explanatory unification responsible for this transformation in organic chemistry is contrasted with contemporary philosophical accounts (...) of unification and its relationship to both scientific understanding and explanation. (shrink)

Organic chemistry provides fertile ground for scholars interested in understanding the role of non-linguistic representations in scientific thinking. In this discipline, it is not plausible to regard diagrams as simply heuristic aids for expressing or applying what is essentially a linguistic theory. Instead, it is more plausible to think of linguistic representation as supplementing theories whose principal expression is diagrammatic. Among the many sorts of diagrams employed by organic chemists, structural formulas are the most important. In this paper, by examining (...) two central episodes in the development of structural formulas—Kekulé’s proposal of a structure for benzene and Ingold’s explanation of dipole moments in terms of ‘mesomerism’—I investigate how the norms for the production and interpretation of structural formulas evolve in response to experimental results and theoretical developments. I conclude that one principal way in which structural formulas embody the theory of organic chemistry is through these evolving norms. (shrink)

This book is about the ethical issues that clinicians encounter as they care for patients and is written to assist those who serve on hospital ethics committees as they deliberate about appropriate action in difficult ethical cases.

Next SectionOne of the indisputable signs of the progress made in organic chemistry over the last two hundred years is the increased ability of chemists to manipulate, control, and design chemical reactions. The technological expertise manifest in contemporary synthetic organic chemistry is, at least in part, due to developments in the theory of organic chemistry. By appealing to a notable chemist's attempts to articulate and codify the heuristics of synthetic design, this paper investigates how understanding theoretical organic chemistry facilitates progress (...) in synthetic organic chemistry. The picture that emerges of how the applications of organic chemistry are grounded in its theory is contrasted with both standard and some more contemporary philosophical accounts of the applications of science. IntroductionTotal Synthesis as Applied ScienceUnderstanding Organic ChemistryThe Heuristics of Synthetic DesignAn Example: LongifoleneConclusion. (shrink)

Roman Frigg and others have developed a general epistemological argument designed to cast doubt on the capacity of a broad range of mathematical models to generate “decision relevant predictions.” In this article, we lay out the structure of their argument—an argument by analogy—with an eye to identifying points at which certain epistemically significant distinctions might limit the force of the analogy. Finally, some of these epistemically significant distinctions are introduced and defended as relevant to a great many of the predictive (...) mathematical modeling projects employed in contemporary climate science. (shrink)

This article examines a scientific controversy that raged for twenty years in physical organic chemistry during the second half of the twentieth century. After explaining what was at stake in the non-classical ion debate, I attempt—by examining the methodological reflections of some of the participants—a partial explanation of what sustained this controversy, particularly during its early stages. Instead of suggesting a breakdown of scientific method or the unavoidable historical contingency of scientific development, the endurance of this controversy instead reveals the (...) heuristic and pragmatic character of many of the explanations and predictions generated by theoretical organic chemistry. The results in this case are used to suggest a new role for the study of scientific controversies in revealing the economics of scientific inquiry. 1 Introduction2 The Non-classical Ion Debate3 Models for the 2-Norbornyl System4 Soft Theories and Reasoning by Analogy5 Scientific Controversy and the Non-classical Ion Debate6 Conclusion. (shrink)

In this paper I examine the sorts of arguments that motivate skepticism about the predictive powers of global climate models. I contend that these arguments work by contrasting the development and testing of global climate models with an idealized image of science drawn largely from a theologized model of fundamental physics. A richer appreciation of the methodology of a full range of successful empirical predictions—particularly in practical fields that study complex systems––can dispel some of these skeptical worries about climate science. (...) If this is right, the good company into which climate science will have been drawn may help to save it from contemptuous ill-treatment at the hands of a theologized image of physics. (shrink)

Extracorporeal membrane oxygenation (ECMO) is a form of life support for cardiac and/or pulmonary failure with unique ethical challenges compared to other forms of life support. Ethical challenges with ECMO exist when conventional standards of care apply, and are exacerbated during periods of absolute ECMO scarcity when “crisis standards of care” are instituted. When conventional standards of care apply, we propose that it is ethically permissible to withhold placing patients on ECMO for reasons of technical futility or when patients have (...) terminal, short-term prognoses that are untreatable by ECMO. Under crisis standards of care, it is ethically permissible to broaden exclusionary criteria to also withhold ECMO from patients who have a low likelihood of recovery, to maximize the overall number of lives saved. Unilateral withdrawal of ECMO against a patient’s preferences is unethical under conventional standards of care, but is ethical under crisis standards of care to increase access to ECMO to others in society. ECMO should only be rationed when true scarcity exists, and allocation protocols should be transparent to the public. When rationing must occur under crisis standards of care, it is imperative that oversight bodies assess for inequities in the allocation of ECMO and make frequent changes to improve any inequities. (shrink)