We show from an abstract comparison principle that the Mitchell order is linear on sufficiently strong ultrafilters: normal ultrafilters, Dodd solid ultrafilters, and assuming GCH, generalized normal ultrafilters. This gives a conditional answer to the well-known question of whether a [Formula: see text]-supercompact cardinal [Formula: see text] must carry more than one normal measure of order 0. Conditioned on a very plausible iteration hypothesis, the answer is no, since the Ultrapower Axiom holds in the canonical inner models at the finite (...) levels of supercompactness. (shrink)

We study a partial order on countably complete ultrafilters introduced by Ketonen [2] as a generalization of the Mitchell order. The following are our main results: the order is wellfounded; its linearity is equivalent to the Ultrapower Axiom, a principle introduced in the author’s dissertation [1]; finally, assuming the Ultrapower Axiom, the Ketonen order coincides with Lipschitz reducibility in the sense of generalized descriptive set theory.

This paper explores several topics related to Woodin’s HOD conjecture. We improve the large cardinal hypothesis of Woodin’s HOD dichotomy theorem from an extendible cardinal to a strongly compact cardinal. We show that assuming there is a strongly compact cardinal and the HOD hypothesis holds, there is no elementary embedding from HOD to HOD, settling a question of Woodin. We show that the HOD hypothesis is equivalent to a uniqueness property of elementary embeddings of levels of the cumulative hierarchy. We (...) prove that the HOD hypothesis holds if and only if every regular cardinal above the first strongly compact cardinal carries an ordinal definable [Formula: see text]-Jónsson algebra. We show that if the HOD hypothesis holds and HOD satisfies the Ultrapower Axiom, then every supercompact cardinal is supercompact in HOD. (shrink)

This paper establishes a conjecture of Steel [7] regarding the structure of elementary embeddings from a level of the cumulative hierarchy into itself. Steel’s question is related to the Mitchell order on these embeddings, studied in [5] and [7]. Although this order is known to be illfounded, Steel conjectured that it has certain large wellfounded suborders, which is what we establish. The proof relies on a simple and general analysis of the much broader class of extender embeddings and a variant (...) of the Mitchell order called the internal relation. (shrink)

Journal of Mathematical Logic, Volume 22, Issue 02, August 2022. The Ultrapower Axiom is a combinatorial principle concerning the structure of large cardinals that is true in all known canonical inner models of set theory. A longstanding test question for inner model theory is the equiconsistency of strongly compact and supercompact cardinals. In this paper, it is shown that under the Ultrapower Axiom, the least strongly compact cardinal is supercompact. A number of stronger results are established, setting the stage for (...) a complete analysis of strong compactness and supercompactness under UA that will be carried out in the sequel to this paper. (shrink)

The Ultrapower Axiom is an abstract combinatorial principle inspired by the fine structure of canonical inner models of large cardinal axioms. In this paper, it is established that the Ultrapower A...

The Ultrapower Axiom is an abstract combinatorial principle inspired by the fine structure of canonical inner models of large cardinal axioms. In this paper, it is established that the Ultrapower A...

Achille Mbembe’s book Critique of Black Reason has attracted scholarly interest and commentaries. In a conversation that took place between David Theo Goldberg and Mbembe, both men discuss some of the themes that are raised in the book. This paper examines that conversation and focuses on the idea of the archive and how the dehumanisation, damage, destruction and death that racism has visited on many black people can be resurrected, dusted down and repaired. I have used Mbembe’s idea of (...) blackness as a way into the archive to retrieve and retell a particular story and, in doing so, to repair the damage to the life of an African American man, as only writing can do. I revive the humanity and dignity of that life against the brutal racism that ultimately claimed it. This is a requiem for Mr Wilson. (shrink)

What is it for a picture to depict a scene? The most orthodox philosophical theory of pictorial representation holds that depiction is grounded in resemblance. A picture represents a scene in virtue of being similar to that scene in certain ways. This essay presents evidence against this claim: curvilinear perspective is one common style of depiction in which successful pictorial representation depends as much on a picture's systematic differences with the scene depicted as on the similarities; it cannot be analyzed (...) in terms of similarity alone. The same problem arises for many other kinds of depiction. The essay concludes that depiction in general is not grounded in resemblance but geometrical transformation. (shrink)

Economic theory teaches that it is in every country’s interest to trade. Trade is a voluntary activity among consenting parties. On this view, considerations of justice have little bearing on trade, and political philosophers concerned with global justice should stay largely silent on trade. According to a very different view that has recently gained prominence, international trade can only occur before the background of an international market reliance practice shaped by states. Trade is a shared activity among states, and all (...) participating states have in principle equal claims to gains from trade. Trade then becomes a central topic for political philosophers. Both views are problematic. A third view about the role of trade in a theory of global justice is then presented, which gives pride of place to a notion of exploitation. The other two views should be abandoned. (shrink)

This essay argues for a model of pictorial representation which aims to explain the relationship between pictorial content and pictorial accuracy. Focusing on cases where pictures are intended to convey accurate information, the model distinguishes between two fundamental representational relations: on one hand, a picture expresses a content; on the other, it aims at a target scene. Such a picture is accurate when the content it expresses fits the target scene it aims at. In addition, the model follows the traditional (...) division of content into two aspects: singular content specifies the particular individuals which a picture is of, and attributive content specifies the properties and relations which the picture ascribes to those individuals. For a picture to be accurate, both aspects must be matched in the target. I call this the Three-Part Model because it distinguishes between the triad of factors, singular content, attributive content, and target, which together determine pictorial accuracy. Though previous work on depiction has not recognized the distinctive role played by target, I will argue that it is essential in order to make sense of accuracy judgements across a range of central cases. (shrink)

This essay calls attention to a set of linguistic interactions between counterfactual conditionals, on one hand, and possibility modals like could have and might have, on the other. These data present a challenge to the popular variably strict semantics for counterfactual conditionals. Instead, they support a version of the strict conditional semantics in which counterfactuals and possibility modals share a unified quantificational domain. I’ll argue that pragmatic explanations of this evidence are not available to the variable analysis. And putative counterexamples (...) to the unified strict analysis, on careful inspection, in fact support it. Ultimately, the semantics of conditionals and modals must be linked together more closely than has sometimes been recognized, and a unified strict semantics for conditionals and modals is the only way to fully achieve this. (shrink)

El Estado de Hegel es el Estado de Derecho. Sin embargo en su Filosofía del Derecho se encuentran fundamentos decisivos para una teoría del Estado Social. Siguiendo el hilo de las Líneas fundamentales de la Filosofía del Derecho, se empieza por ver el derecho al bienestar, tal como se formula en la Moralidad (1). En la familia aparece el derecho de los hijos "de ser alimentados y educados" (2). El Derecho al bienestar se concreta en la sociedad civil (3), se (...) hace posible en el sistema de las necesidades (3.1.) y efectivo en la policía y la corporación (3.2 y 3.3), que ejercen funciones de suplencia de la familia. El mayor problema es la pobreza, tanto la que surge por contingencias subjetivas y sociales como por el funcionamiento mismo de la sociedad civil: la plebe. A este problema la sociedad es incapaz de darle una solución. (shrink)

Ce volume contient les contributions au colloque « Lire Althusser aujourd'hui » organisé les 16 et 17 octobre 1995 à l'Ecole normale supérieure, par l'Institut Mémoires de l'Edition Contemporaine. La publication de l'Avenir dure longtemps, puis de nombreux autres inédits, ont donné à la pensée de Louis Althusser un regain d'actualité, indissociable d'une profonde modification de la lecture qui peut être faite de son oeuvre. On ne peut pas lire Althusser aujourd'hui comme on le faisait de son vivant. A leur (...) manière, chacun de ces exposés tournent ainsi autour d'une même question : qu'est-ce que lire Althusser aujourd'hui? (shrink)

Hubert Dreyfus has defended a novel view of agency, most notably in his debate with John McDowell. Dreyfus argues that expert actions are primarily unreflective and do not involve conceptual activity. In unreflective action, embodied know-how plays the role reflection and conceptuality play in the actions of novices. Dreyfus employs two arguments to support his conclusion: the argument from speed and the phenomenological argument. I argue that Dreyfus's argumentative strategies are not successful, since he relies on a dubious assumption about (...) concepts and reflection. I suggest that Dreyfus is committed to a minimal view of conceptuality in action. (shrink)

During the last few decades, the historical turn within the tradition of the analytic tradition has experienced growing enthusiasm concerning the procedure of rational reconstruction, whose validity or importance, despite its paradigmatic examples in Frege and Russell, has not always enjoyed a consensus. Among the analytic philosophers who are the frontrunners of this movement, Robert Brandom is one of a kind: his work on Hegel as well as on German Idealism has been increasing interest in, as well as awareness of, (...) Hegel´s possible contributions to some current problems in that tradition, and connecting Hegel scholars to current questions. Thus, this work aims to explore Brandom´s methodology of rational reconstruction, as well as his dialogue with history of Philosophy, mainly exposed in his Tales of the mighty dead (2002). As we will see, Brandom´s distinction between a de dicto and a de re approach intends to present a way of identifying and analyzing a given philosopher´s theoretical (hidden) commitments that can be useful to improve the quality of the dialogue with past philosophers. From such methodological exposition, I to turn to Kierkegaard in order to make explicit some of his ontological commitments and presenting Brandom’s approach as a valuable tool for doing history of philosophy. (shrink)

Part I of Frege’s Grundgesetze is devoted to the “exposition [Darlegung]” of his formal system.

The so-called Trolley Problem was first discussed by Philippa Foot in 1967 as a way to test moral intuitions regarding the doctrine of double effect, Kantian principles and utilitarianism. Ever since, a great number of philosophers and psychologists have come up with alternative scenarios to further test intuitions and the relevance of conventional moral doctrines. Given that physicians routinely face moral decisions regarding life and death, the Trolley Problem should be considered of great importance in medical ethics. In this article, (...) five “classic” trolley scenarios are discussed: the driver diverting the trolley, a bystander pulling a lever to divert the trolley, a fat man being thrown from a bridge to stop the trolley, a bystander pulling a lever to divert a trolley so that a fat man may be run over, and a bystander pulling a lever so that a fat man falls off from a bridge to stop the trolley. As these scenarios are discussed, relevant moral differences amongst them are addressed, and some of the applications in medical ethics are discussed. The article concludes that Trolley scenarios are not the ultimate criterion to make ethical decisions in difficult ethical challenges in medicine cases but they do serve as an initial intuitive guide. (shrink)

Em 1845, ainda durante o período de redação da obra que seria o Pós-Escrito Conclusivo Não-Científico às Migalhas Filosóficas – trabalhado sob o título provisório de Problemas Lógicos –, Kierkegaard esboça em seus Papirer (IV A 145) um curioso esquete que se passaria nos Infernos – ou Submundo – envolvendo um diálogo entre Sócrates e Hegel. Neste diálogo acerca do famigerado problema do início da filosofia hegeliana, Kierkegaard descreve Hegel fazendo a leitura da página 198 do segundo volume das Logische (...) Untersuchungen, de F. A. Trendelenburg. A citação precisa da página, feita por Kierkegaard, não poderia ser senão uma indicação da relevância de seu conteúdo para o tema debatido entre os dois filósofos no diálogo imaginário. De fato, está aí presente, entre outros argumentos, a acusação da intromissão da Anschauung no reino do pensamento puro, em especial no início da Lógica de Hegel. Assim, pretendemos neste trabalho (1) explicitar o argumento trendelenburguiano relativo à Anschauung, bem como (2) fazer alguns apontamentos da recepção kierkegaardiana do argumento a partir das relações deste com as teses centrais do Pós-Escrito. (shrink)

Scott Sehon recently argued that the standard notion of determinism employed in the Consequence Argument makes it so that, if our world turns out to be deterministic, then an interventionist God is logically impossible. He further argues that because of this, we should revise our notion of determinism. In this paper I show that Sehon’s argument for the claim that the truth of determinism, in this sense, would make an interventionist God logically impossible ultimately fails. I then offer and respond (...) to a weaker version of the argument for the claim that we should revise our notion of determinism. (shrink)

I examine two explanatory models of choking: the representationalist model and the anti-representationalist model. The representationalist model is based largely on Anderson's ACT model of procedural knowledge and is developed by Masters, Beilock and Carr. The antirepresentationalist model is based on dynamical models of cognition and embodied action and is developed by Dreyfus who employs an antirepresentational view of know-how. I identify the models' similarities and differences. I then suggest that Dreyfus is wrong to believe representational activity requires reflection and (...) attention. I also argue that the representationalist model of choking is preferable, since some embodied actions require appeals to representations, something not available to Dreyfus's anti-representational model. (shrink)

Fichte's Foundations of Natural Right was one of the most influential books in nineteenth-century philosophy. It was read carefully by Schelling, Hegel, and Marx, and initiated a tradition in German philosophy that considers human subjectivity to be relational and intersubjective, thus requiring relations of recognition between subjects. The essays in this volume highlight this little-understood book's most important ideas and innovations. They offer discussions of Fichte's conception of freedom, self-consciousness, coercion, the summons, the body, and human rights, together with new (...) analyses of his deduction of right, his views on the social contract, and his arguments for the separation of right from morality. The essays expand and deepen ongoing debates in the scholarship and chart new avenues of thought about Fichte's most enduring work of political philosophy. They will be essential reading for students and scholars of German Idealism, nineteenth-century philosophy, and the history of political thought. (shrink)

Some political philosophers believe that equality emerges as a moral concern where and because people coerce each other. I shall argue that they are wrong. The idea of coercion as a trigger of equality is neither as plausible nor as powerful as it may initially appear. Those who rely on the idea that coercion is among the conditions that give rise to equality as a moral demand face a threefold challenge. They will have to succeed in jointly (a) offering a (...) convincing account of the wrongness of coercion, (b) rendering cogent the idea that the demand of equality arises in response to the moral problem of coercion, and (c) identifying some types of interaction as relevantly coercive. This challenge, I believe, cannot be met. More precisely, I argue that two important accounts of coercion fail to meet it. (shrink)

Trolley dilemmas have been tested cross-culturally, but only recently have researchers begun to assess the effect of responding to such dilemmas in a foreign language. Previous studies have found a Moral Foreign Language Effect in trolley dilemmas, whereby subjects who respond to these dilemmas in a foreign language, tend to offer more utilitarian responses. The present study seeks to test whether the MFLE holds amongst native speakers of Arabic. Additionally, the present study seeks to test whether the use of visual (...) images has any effect on responses. For such purposes, four groups were compared: 1) participants responding to trolley dilemmas in English without visual images; 2) participants responding to trolley dilemmas in Arabic without visual images; 3) participants responding to trolley dilemmas in English with visual images; 4) participants responding to trolley dilemmas in Arabic with visual images. (shrink)

John Rawls famously claims that ‘justice is the first virtue of social institutions’. On one of its readings, this remark seems to suggest that social institutions are essential for obligations of justice to arise. The spirit of this interpretation has recently sparked a new debate about the grounds of justice. What are the conditions that generate principles of distributive justice? I am interested in a specific version of this question. What conditions generate egalitarian principles of distributive justice and give rise (...) to equality as a demand of justice? My paper focuses on relationalist answers to this question. Advocates of relationalism assume that ‘principles of distributive justice have a relational basis’, in the sense that ‘practice mediated relations in which individuals stand condition the content, scope and justification of those principles’. To say that principles of justice are ‘based’ on and ‘conditioned’ by practice mediated relations is ambiguous. I will here be concerned with advocates of what I call the relationalist requirement , viz. positions which assume that ‘practice mediated relations’ constitute a necessary existence condition for principles of egalitarian distributive justice. Relationalists who endorse this view come in different varieties. My focus is on relationalists that view social and political institutions as the relevant ‘practice mediated relation’. The question at stake, then, is this: Are institutionally mediated relations a necessary condition for equality to arise as a demand of justice? Strong relationalists of the institutionalist cast, call them advocates of the institutionalist requirement , differ in important respects. They argue about what set of institutions is foundationally significant, and they disagree on why only that institutional relation gives rise to egalitarian obligations of justice. My paper engages two ways of arguing for the institutionalist requirement : Julius’s framing argument and Andrea Sangiovanni’s reciprocity argument . The issue at stake are the grounds of egalitarian justice and I will argue that the institutionalist requirement is mistaken. It is not the case that egalitarian obligations of distributive justice arise only between and solely in virtue of individuals sharing a common institution. (shrink)

Although recent trends in politics and media make it appear that conspiracy theories are on the rise, in fact they have always been present, probably because they are sustained by natural dispositions of the human brain. This is also the case with medical conspiracy theories. This article reviews some of the most notorious health-related conspiracy theories. It then approaches the reasons why people believe these theories, using concepts from cognitive science. On the basis of that knowledge, the article makes normative (...) proposals for public health officials and health workers as a whole, to deal with conspiracy theories, in order to preserve some of the fundamental principles of medical ethics. (shrink)

The death of George Floyd in May 2020 sparked an unprecedented global wave of protests that appeared to mark a turning point in the battle against racial injustice. But protests against racism are not new; each comes and soon passes into the archives of history, leaving few lasting changes in its wake. What was different about the death of Floyd was that the graphic manner of its unfolding was captured on film: the slow act of wilful suffocation, and how the (...) entire world was seemingly invited to witness the torment and the execution of this man, in broad daylight, even as he cried I can't breathe. However, this discussion attempts to move beyond that moment of death, the protests that followed and the distracting debate about statues and monuments to argue that the death of Floyd must be seen as the culmination of the process of systemic and structural racism. It aims to show how racism shifted from the black body as the visible and material target of racial oppression to air/breath, and how suffocation became the characteristic feature as well as the weapon of contemporary racial injustice. (shrink)

In continuation with the New Thought movement that arose in the United States in the 19th Century, there is now a massive self-help industry that markets books and seminars. This industry has also extended to healthcare in the form of positive thinking, i.e., the idea that happy thoughts are essential for health. While some of these claims may seem reasonable and commonsensical, they are not free of problems. This article posits that positive thinking has some ethical underpinnings. Extreme positive thinking (...) may promote alternative forms of medicine that ultimately substitute effective treatment, and this is unethical. The emphasis on positive thinking for cancer patients may be too burdensome for them. Likewise, unrestricted positive thinking is not necessarily good for mental health. After considering the ethics of positive thinking, this article proposes a more realistic approach. (shrink)

A reiteration of the main details of the case may be helpful. Euphiletus killed Eratosthenes and was prosecuted for premeditated homicide by Eratosthenes' relatives. The present speech, our sole source of information concerning the case, was written for the defendant, partially or totally, by a professional speechwriter, presumably Lysias. In this speech Euphiletus admits killing Eratosthenes. He pleads, however, that, since he killed Eratosthenes after catching him in the act of adultery with his own wife, this was a case of (...) justified homicide. At the same time, he denies a charge of the prosecution that he had killed Eratosthenes for reasons unrelated to the adultery. The speech was delivered before a court of fifty-one judges especially set up to judge such cases, as is attested elsewhere:T1Arist. Ath. Pol. 57.3: ‘If…a person admits that he has killed someone but claims that he had a right to do so, as, for instance, when he has surprised an adulterer in the act,… then the trial takes place in the Delphinion’. (shrink)

Amidst the recent threat of COVID-19, home gardens have surged in popularity as seed companies and nurseries find it challenging to keep their supplies fully stocked. The victory garden movement that emerged during WWII has today re-emerged as COVID victory gardens. Yet, the global changes and cognitive shifts associated with COVID-19 have differential impacts. The narrative of COVID victory gardens depoliticizes urban agriculture. It is blind to its long history in marginalized, oppressed, and displaced communities where home gardens have always (...) been part of a struggle for identity, autonomy, and self- and communal-determination. I argue the blindness embedded in the narrative of COVID victory gardens violates our “food-related obligations,” which are our responsibilities to ourselves, our food, and each other. Silencing how communities of color have historically grown food in pursuit of dignity disregards how home gardens in communities of color are not merely a reactionary response to crisis but part of a historical legacy whereby people of color have grown food for generations to create and recreate sustainable ways of living that validate their cultures, knowledges, and ways of being. (shrink)

This article is a libertarian critique of incest laws. On the basis of the libertarian “harm principle”, one must ask what exactly is the harm that incest brings forth. Traditionally, anthropologists have tried to rationalize the incest taboo in various theories, and lawmakers have used these principles as grounds for the criminalization of incest. These principles are the preservation of family structure, the enhancement of alliances and the avoidance of genetic risks. While I acknowledge that these rationalizations are plausible, I (...) argue that they are still not sufficient grounds for the preservation of incest laws, and consequently, there is an ethical need to reform them. (shrink)

As it has historically been the case with many pandemics, the Covid-19 experience will induce many philosophers to reconsider the value of medical practice. This should be a good opportunity to critically scrutinize the way medical research and medical interventions are carried out. For much of its history, medicine has been very inefficient. But, even in its contemporary forms, a review of common protocols in medical research and medical interventions reveal many shortcomings, especially related to methodological flaws, and more importantly, (...) conflicts of interests due to profit incentives. In the face of these problems, we propose a program of “gentle medicine”. This term, originally formulated by philosopher Jacob Stegenga, describes a form of medicine in which physicians intervene less than they currently do. As part of this general program, we advance a series of reform recommendations that could be enacted both by medical staff in their everyday practice, but also by public health officials and policymakers. (shrink)

Shafer-Landau, Russ. Ethical Theory: An Anthology. Second Edition. London, Wiley-Blackwell, 2013.

Both Frege's Grundgesetze, and Lagrange's treatises on analytical functions pursue a foundational purpose. Still, the former's program is not only crucially different from the latter's. It also depends on a different idea of what foundation of mathematics should be like . Despite this contrast, the notion of function plays similar roles in their respective programs. The purpose of my paper is emphasising this similarity. In doing it, I hope to contribute to a better understanding of Frege's logicism, especially in relation (...) to its crucial differences with a set-theoretic foundational perspective. This should also spread some light on a question arisen by J. Hintikka and G. Sandu in a widely discussed paper, namely whether Frege should or should not be credited with the notion of arbitrary function underlying our standard interpretation of second-order logic. In section 1, I account for Lagrange's notion of function. In section 2, I advance some remarks on connected historical matters. This will provide an appropriate framework for discussing the role played by the notion of function in Frege's Grundgesetze. Section 3 is devoted to this. Some concluding remarks will close the paper. (shrink)