A surprising feature of the White Rose anti-Nazi resistance pamphlets is their appeal to a foundational classical Chinese text, the Laozi (otherwise known as the Daodejing), to buttress their critique of fascism and authoritarianism. I argue that from the perspective of a 1942 educated readership, the act of quoting the Laozi functioned as a subtle and pointed nod to anti-fascist intellectuals in pre-war Germany, many of whom had interpreted the Laozi as an anti-authoritarian and pacifist text. To a sympathetic reader, (...) the Laozi therefore constituted an apt reference point for critiquing National Socialism. I then introduce a complication for this wartime reading of the Laozi from the perspective of its ambiguous reception in ancient Chinese political thought. I more specifically discuss an ancient line of interpretation of the Laozi that points in the direction of authoritarianism — in stark tension with the White Rose message of passive resistance and popular revolt. (shrink)

What process ought to guide decision making for pediatric patients? The prevailing view is that decision making should be informed and guided by the best interest of the child. A widely discussed structural model proposed by Buchanan and Brock focuses on parents as surrogate decision makers and examines best interests as guiding and/or intervention principles. Working from two recent articles by Ross on “constrained parental autonomy” in pediatric decision making (which is grounded in the Buchanan and Brock model), I discuss (...) (supportively) features of Ross’s effort visa-vis the best interest standard. I argue that any pediatric decision-making model that brackets or formally limits an engagement with the child patient assumes too much. Further, any model that under appreciates the place of parents and their autonomy, and the dynamic parent-child relationship, misses an opportunity to broaden the clinical encounter by considering questions of justice for the child (Rawls) and within a family (Ross). In this context, I focus on the child’s emerging and ongoing emotional and intellectual development and autonomy—their capabilities and identifying primary goods. (shrink)

Whether Albert Camus’s “existentialist” thought expresses an “ethics” is a subject of disagreement among commentators. Yet, there can be no reading of Camus’s philosophical and literary works without recognizing that he was engaged in the post-WW2 period with two basic questions: How must we think? What must we do? If his thought presents us with an ethics, even if not systematic, it seems to be present in his ideas of “remaking” both man and world that are central to his The (...) Myth of Sisyphus and The Rebel. Curiously, however, this apparent recommendation is ambiguous for the fact that while Camus proposes as much he does so “comme si,” i.e., form a perspective of “as if.” A clarification of this qualification is presented here in the light of the fact that Camus rejects any nihilist project that countenances either suicide or murder. Thereby one may argue that Camus indeed has an ethics that remains pertinent to today. (shrink)

Contemporary Islam presents Europe in particular with a political and moral challenge: Moderate-progressive Muslims and radical fundamentalist Muslims present differing visions of the relation of politics and religion and, consequently, differing interpretations of freedom of expression. There is evident public concern about Western “political correctness,” when law or policy accommodates censorship of speech allegedly violating religious sensibilities. Referring to the thought of philosopher Baruch Spinoza, and accounting for the Universal Declaration of Human Rights, the Universal Islamic Declaration of Human Rights, (...) and various empirical studies on the religious convictions of Muslims, it is argued here that: (1) sovereign European state powers should be especially cautious of legal censorship of speech allegedly violating Muslim religious sensibilities; and (2) instead of legal moves to censorship, European states should defer to the principle of separation of religion and state (political authority). Further, a reasonable interpretation of Islamic jurisprudence allows that matters of religious difference may be engaged and resolved by appeal to private conscience and ethical judgment, rather than by appeal to public law per se. In so far as they are 1 representative of contemporary scholarship, the interpretative positions of Ziad Elmarsafy, Jacques Derrida, and Nasr Abū Zayd are presented in illustration of this latter point. (shrink)

This book is an attempt "to give a systematic account of the development of plato's theory of knowledge" (page vii). thus it focuses on the dialogues in which epistemological issues come to the fore. these dialogues are "meno", "phaedo", "symposium", "republic", "cratylus", "theastetus", "phaedrus", "timaeus", "sophist", "politicus", "philebus", and "laws". issues discusssed include the theory of recollection, perception, the difference between belief and knowledge, and mathematical knowledge. (staff).

When political philosopher Hannah Arendt introduced the concept of ‘banality of evil’ she did so in reference to the actions of Germans who appropriated the doctrines of National Socialism “thoughtlessly” and without obvious intentions to do evil. But, Arendt’s description of this phenomenon entails that such banality can be found even in a democracy such as the USA. The relation of law and morality must therefore be unambiguous to defend the rule of law against the rule of men. However, a (...) legal philosophy other than positivism is essential to safeguard the Republic against the overreach of executive power. And, where the psychopathology of Donald Trump is at the core of America’s electoral discontent in 2020, as mental health professionals have argued, there is all the more reason to take Arendt’s counsel especially seriously today. It is in this context that it is argued here that the American public must beware Trump’s inducement of America’s banality of evil. (shrink)

How can one be authentic, except with reference to some dogma? An answer to this query is philosophically important in light of the significance that individuals attach to traditions of thought and practice and to epistemic commitments articulated in the context of the political, which are characterized as ideological appeals. Here the thinking of Martin Heidegger is engaged as a way of evaluating the concept of dogma and the seemingly moral and political relevance of the concept of authenticity. The point (...) of the analysis is to conclude otherwise than is presupposed by the question, i.e., to conclude that one can be authentic without reference to some dogma. (shrink)

Philosopher Martin Heidegger’s writing on the essence of technology has often been seen as too abstract even though he illustrated his concerns with reference to technological developments of his day. While most in the immediate post-World War 2 period judged thermonuclear weaponry to be the most obvious technological threat to the future of humanity, Heidegger instead considered developments in the biological sciences to be more so. In the discussion presented here, Heidegger’s thinking is related to developments in biotechnology, specifically assisted (...) reproductive technology. The task here is (1) to illustrate how Heidegger’s disquiet is manifested in such technologies and (2) to emphasize the significance of his call for a “step back” from the calculative thinking dominant in the natural sciences to what he called, alternately, “essential,” “meditative,” or “commemorative” thinking. Only through this latter mode of thinking can we expect to enter into a “free” relationship to technology. (shrink)

Introduction In 2013, Dr. J. Muizelaar and Dr. R. Schrot, two neurosurgeons at the University of California Davis Medical Center (UCDMC), were found guilty of research misconduct due to failure to comply with institutional policies as well as Food and Drug Administration (FDA) regulations governing human subjects research. At issue here, however, is the difference between research and innovative therapy in the clinical setting of patient care where clinical judgment is reasonably to be privileged. Methods The UCDMC investigative document is (...) reviewed along with standard literature on clinical ethics and clinical data about glioblastoma multiforme (GBM) cancer. Results In this paper I argue that, by tendentiously focusing on policies, regulations, and procedures governing human subjects research, the UCDMC investigation failed to account for the centrality of clinical judgment and clinical ethics pertinent to judicious review of this matter, especially given the unique clinical context of terminally ill patients having exhausted standard care treatment options for glioblastoma multiforme (GBM) cancer. Conclusions The UCDMC investigation raises serious problems for clinicians who are engaged in innovative therapy in the clinical setting, requiring a regulatory framework separate from the normal Institutional Review Board (IRB) process. (shrink)

In this essay, by example of the physician-patient relationship and drawing on the work of D.W. Winnicott, I explore what may be possible together in relationships, and in the pursuit of health and flourishing, at understanding what we need, and getting ourselves and the other “right”—what we are afraid of and how we get each other wrong, and the distance or gap between “what has been” and “what might be.” In pursuit of these questions, I consider what both physicians and (...) patients might endeavor to do together to address this distance: to recognize and respond to each other, and to identify and address common needs and felt distances. And, how, along the way, we may be able to better identify and understand fundamental challenges to all relationships. Finally, I ask the reader to imagine a physician-patient encounter (and all relationships) as vulnerable possibilities. And I suggest a method for a way forward. While we may not always get what we want in a relationship, perhaps our earnest effort at knowing together will open a potential space for us to get what we need. This is where I imagine that the physician-patient relationship begins: where all relationships begin. (shrink)

Bioethics tends to be dominated by discourses concerned with the ethical dimension of medical practice, the organization of medical care, and the integrity of biomedical research involving human subjects and animal testing. Jacques Derrida has explored the fundamental question of the “limit” that identifies and differentiates the human animal from the nonhuman animal. However, to date his work has not received any reception in the field of biomedical ethics. In this paper, I examine what Derrida’s thought about this limit might (...) mean for the use/misuse/abuse of animals in contemporary biomedical research. For this, I review Derrida’s analysis and examine what it implies for scientific responsibility, introducing what I have coined the “Incompleteness Theorem of Bioethics.”. (shrink)

Bayesian models of legal arguments generally aim to produce a single integrated model, combining each of the legal arguments under consideration. This combined approach implicitly assumes that variables and their relationships can be represented without any contradiction or misalignment, and in a way that makes sense with respect to the competing argument narratives. This paper describes a novel approach to compare and ‘average’ Bayesian models of legal arguments that have been built independently and with no attempt to make them consistent (...) in terms of variables, causal assumptions or parameterization. The approach involves assessing whether competing models of legal arguments are explained or predict facts uncovered before or during the trial process. Those models that are more heavily disconfirmed by the facts are given lower weight, as model plausibility measures, in the Bayesian model comparison and averaging framework adopted. In this way a plurality of arguments is allowed yet a single judgement based on all arguments is possible and rational. (shrink)

The scope and reach of information, driven by the explosive growth of information technologies and content types, has expanded dramatically over the past 30 years. The consequences of these changes to records and information management (RIM) professionals are profound, necessitating not only specialized knowledge but added responsibilities. RIM professionals require a professional ethics to guide them in their daily practice and to form a basis for developing and implementing organizational policies, and Mooradian’s new book provides a rigorous outline of such (...) an ethics. Taking an authoritative principles/rules based approach to the subject, this book comprehensively addresses •the structure of ethics, outlining principles, moral rules, judgements, and exceptions; •ethical reasoning, from meaning and logic to dilemmas and decision methods; •the ethical core of RIM, discussing key topics such as organizational context, the positive value of accountability, conflicts of interest, and confidentiality; •important ethical concerns like copyright and intellectual property, whistleblowing, information leaks, disclosure, and privacy; and •the relationship between RIM ethics and information governance. -/- An essential handbook for information professionals who manage records, archives, data, and other content, this book is also an ideal teaching text for students of information ethics . (shrink)

Schopenhauer is famously abusive toward his philosophical contemporary and rival, Friedrich William Joseph von Schelling. This chapter examines the motivations for Schopenhauer’s immoderate attitude and the substance behind the insults. It looks carefully at both the nature of the insults and substantive critical objections Schopenhauer had to Schelling’s philosophy, both to Schelling’s metaphysical description of the thing-in-itself and Schelling’s epistemic mechanism of intellectual intuition. It concludes that Schopenhauer’s substantive criticism is reasonable and that Schopenhauer does in fact avoid Schelling’s errors: (...) still, the vehemence of the abuse is best perhaps explained by the proximity of their philosophies, not the distance. Indeed, both are developing metaphysics of will with full and conflicted awareness of the Kantian epistemic strictures against metaphysics. In view of this, Schopenhauer is particularly concerned to mark his own project as legitimate by highlighting the manner in which he avoids Schelling’s errors. (shrink)

Friedrich Wilhelm Joseph von Schelling (1775-1854) is often thought of as a “philosopher’s philosopher,” with a specialist rather than generalist appeal. One reason for Schelling’s lack of popularity is that he is something of a problem case for traditional narratives about the history of philosophy. Although he is often slotted in as a stepping stone on the intellectual journey from Kant to Hegel, any attention to his ideas will show that he does not fit this role very well. His later (...) philosophy suggests a materialism and empiricism that puts him outside of idealism proper; his connection with the romantic movement suggests an aestheticism that challenges traditional philosophy as such; and his mysticism allies him with medieval, pre-critical philosophies considered antiquated by the 19th century. And if Schelling was not entirely at home with his contemporaries, he seems, on the face of it, to have fared little better with his future: there has been no Schelling school, he has had no followers. No historical trajectory announces Schelling as its point of departure. -/- And yet Schelling’s influence has been an extraordinary one. He has inspired physicists, physicians, theologians, historians and poets. A wildly diverse set of philosophers have claimed that their ideas have resonance with his. Perhaps the question of Schelling’s influence can be approached by looking at what Kant says about works of genius -- that they should give rise to inspiration, not imitation. Paradoxically, to imitate genius is not to produce an imitation but a new creative work. Whether or not Schelling should be strictly viewed as a genius, Kant’s notion suggests a sense in which Schelling should be understood as a “philosopher’s philosopher”; he inspired creativity, not repetition. In this perspective, the lack of a “Schelling school” is a sign of strength; Schelling is continually being rediscovered, and his works have retained a fresh and untimely character. If Schelling does not have any obvious historical successors, it is because his influence cannot be charted by the usual methods. New philosophical tools are needed in order to understand his philosophical significance, his impact on contemporary thought and relevance for contemporary concerns. (shrink)

The socioecological discourse has recently gained strong attention. Suddenly, most firms now try to engage quickly with precarious issues because consumers demand an attitude toward our grand challenges, not merely products anymore. Starting from neo‐institutionalist critiques, which dominate the corporate green and socialwashing discourse, this essay argues from a largely neglected perspective by drawing attention to the impacts on the longstanding pioneers of socioecologically valuable business practices. Almost no research to date has illuminated the phenomenon whereby pioneering firms lose their (...) unique selling propositions because others are ‘riding the wave’ and reaping where they have not sown. By applying a resource-based argumentation, the idea of a tragedy of intangible commons is unfolded to explain what made this phenomenon possible and why it could even occur. (shrink)

The need to optimize student interactions in universities for enhanced academic performance has been a subject of debate and discussion in different academic fora. A number of studies have shown that students, both male and female, can assert themselves academically if they are provided with opportunities for active participation and interaction with their lecturers and peers for both the horizontal and the vertical sharing of knowledge. The purpose of this study, therefore, was to investigate the gender-based interaction practices of science, (...) mathematics and technology university students, and how these interactive patterns influence their academic performance. Using a quantitative approach located in the post-positivist paradigm, the study employed a structured questionnaire to collect the data from a sample of 1285 students from three universities. The results of the study showed that institutional practices, lecturers, parents, peers, learning content and artifacts, as well as the classroom environment, have a significant influence on the gender-based interaction practices of university students. Furthermore,, the results showed that the levels of interaction have a significant influence on the academic performance of university students, according to gender. As a main recommendation, it was proposed that universities should come up with gender-equity policies that would guide how the universities and their stakeholders could cater for the issues of gender equity. (shrink)

The need to optimize student interactions in universities for enhanced academic performance has been a subject of debate and discussion in different academic fora. A number of studies have shown that students, both male and female, can assert themselves academically if they are provided with opportunities for active participation and interaction with their lecturers and peers for both the horizontal and the vertical sharing of knowledge. The purpose of this study, therefore, was to investigate the gender-based interaction practices of science, (...) mathematics and technology university students, and how these interactive patterns influence their academic performance. Using a quantitative approach located in the post-positivist paradigm, the study employed a structured questionnaire to collect the data from a sample of 1285 students from three universities. The results of the study showed that institutional practices, lecturers, parents, peers, learning content and artifacts, as well as the classroom environment, have a significant influence on the gender-based interaction practices of university students. Furthermore,, the results showed that the levels of interaction have a significant influence on the academic performance of university students, according to gender. As a main recommendation, it was proposed that universities should come up with gender-equity policies that would guide how the universities and their stakeholders could cater for the issues of gender equity. (shrink)

‘Romanticism’ is one of the more hotly contested terms in the history of ideas. There is a singular lack of consensus as to its meaning, unity, and historical extension, and many attempts to fix the category of romanticism very quickly become blurry. As a result, the great historian of ideas, Arthur Lovejoy, famously concludes that: ‘the word ‘romantic’ has come to mean so many things that, by itself, it means nothing. It has ceased to perform the function of a verbal (...) sign’ But his pessimistic advice has not stopped scholars from trying to define romanticism. If anything, it has brought renewed vigour to the determination with which critics try to pinpoint the term. There are several approaches to take, for those who attempt to do so. One class of critics tries to enumerate the features shared by the authors and texts generally considered romantic. An alternative approach would try to identify the fundamental unity that informs romanticism and gives rise to the empirical commonalities. But what would this essential feature be? Both of these approaches take an external perspective on romanticism, seeing it as the object of inquiry. An alternative approach, which we will pursue, looks at romantic subjects, and romanticism as a self-constituting category, rather than merely as an externally imposed one. In other words, we will take as basic neither an (empirical) array of candidate properties constituting romanticism, nor a supposed underlying (rationalist) essence from which properties can be derived, but rather we will focus on how the romantics themselves took up the idea of romanticism and transformed it into a self-conscious movement. We will treat the question of romanticism with respect to England, but above all Germany. Although romantic movements arose and flourished elsewhere in Europe (and in France in particular), German and English romanticism were uniquely theoretically sophisticated and philosophically nuanced. (shrink)

Failing to recognise sentience in AI systems (false negatives) poses a far greater risk of potentially astronomical suffering compared to mistakenly attributing sentience to non-sentient systems (false positives). This paper analyses the issue through the moral frameworks of longtermism, utilitarianism, and deontology, concluding that all three assign greater urgency to avoiding false negatives. Given the astronomical number of AIs that may exist in the future, even a small chance of overlooking sentience is an unacceptable risk. To address this, the paper (...) proposes a comprehensive approach including research, field-building, and tentative policy development. Humanity must take steps to ensure the well-being of all sentient minds, both biological and artificial. (shrink)

As biological and biomedical research increasingly reference the environmental context of the biological entities under study, the need for formalisation and standardisation of environment descriptors is growing. The Environment Ontology (ENVO) is a community-led, open project which seeks to provide an ontology for specifying a wide range of environments relevant to multiple life science disciplines and, through an open participation model, to accommodate the terminological requirements of all those needing to annotate data using ontology classes. This paper summarises ENVO’s motivation, (...) content, structure, adoption, and governance approach. (shrink)

Martin Scorsese’s 1976 film Taxi Driver is widely considered a cinematic masterpiece. Existing scholarly deconstructions focus on prevalent themes of masculinity, violence, and exploitation. This work reinterprets the central narrative as a revenge story in three parts, using cinematic context; the occurrences and actions of the protagonist – the eponymous taxi driver Travis Bickle - to answer the question of whether revenge is ever morally justifiable.

The Ontology for Biomedical Investigations (OBI) is an ontology that provides terms with precisely defined meanings to describe all aspects of how investigations in the biological and medical domains are conducted. OBI re-uses ontologies that provide a representation of biomedical knowledge from the Open Biological and Biomedical Ontologies (OBO) project and adds the ability to describe how this knowledge was derived. We here describe the state of OBI and several applications that are using it, such as adding semantic expressivity to (...) existing databases, building data entry forms, and enabling interoperability between knowledge resources. OBI covers all phases of the investigation process, such as planning, execution and reporting. It represents information and material entities that participate in these processes, as well as roles and functions. Prior to OBI, it was not possible to use a single internally consistent resource that could be applied to multiple types of experiments for these applications. OBI has made this possible by creating terms for entities involved in biological and medical investigations and by importing parts of other biomedical ontologies such as GO, Chemical Entities of Biological Interest (ChEBI) and Phenotype Attribute and Trait Ontology (PATO) without altering their meaning. OBI is being used in a wide range of projects covering genomics, multi-omics, immunology, and catalogs of services. OBI has also spawned other ontologies (Information Artifact Ontology) and methods for importing parts of ontologies (Minimum information to reference an external ontology term (MIREOT)). The OBI project is an open cross-disciplinary collaborative effort, encompassing multiple research communities from around the globe. To date, OBI has created 2366 classes and 40 relations along with textual and formal definitions. The OBI Consortium maintains a web resource providing details on the people, policies, and issues being addressed in association with OBI. (shrink)

Throughout the biological and biomedical sciences there is a growing need for, prescriptive ‘minimum information’ (MI) checklists specifying the key information to include when reporting experimental results are beginning to find favor with experimentalists, analysts, publishers and funders alike. Such checklists aim to ensure that methods, data, analyses and results are described to a level sufficient to support the unambiguous interpretation, sophisticated search, reanalysis and experimental corroboration and reuse of data sets, facilitating the extraction of maximum value from data sets (...) them. However, such ‘minimum information’ MI checklists are usually developed independently by groups working within representatives of particular biologically- or technologically-delineated domains. Consequently, an overview of the full range of checklists can be difficult to establish without intensive searching, and even tracking thetheir individual evolution of single checklists may be a non-trivial exercise. Checklists are also inevitably partially redundant when measured one against another, and where they overlap is far from straightforward. Furthermore, conflicts in scope and arbitrary decisions on wording and sub-structuring make integration difficult. This presents inhibit their use in combination. Overall, these issues present significant difficulties for the users of checklists, especially those in areas such as systems biology, who routinely combine information from multiple biological domains and technology platforms. To address all of the above, we present MIBBI (Minimum Information for Biological and Biomedical Investigations); a web-based communal resource for such checklists, designed to act as a ‘one-stop shop’ for those exploring the range of extant checklist projects, and to foster collaborative, integrative development and ultimately promote gradual integration of checklists. (shrink)

This report by the WHO Consultative Group on Equity and Universal Health Coverage addresses how countries can make fair progress towards the goal of universal coverage. It explains the relevant tradeoffs between different desirable ends and offers guidance on how to make these tradeoffs.

The goal of this pilot study is to investigate expressions of the collective disquiet of people in the first months of Covid-19 pandemic, and to try to understand how they manage covert risk, especially with religion and magic. Four co-authors living in early hot spots of the pandemic speculate on the roles of science, religion, and magic, in the latest global catastrophe. They delve into the consolidation that should be occurring worldwide because of a common, viral enemy, but find little (...) evidence for it. They draw parallels to biblical works, finding evidence of a connection between plague and “social strife.” They explore changes in the purviews of science, religion, and magic, and how and why they have changed, as three systems of covert risk management. They speculate on the coming wave of grief when the world populations finally decide that too many people have died, and they envision cultural changes on the other side of the pandemic, to lifestyles, travel, reverse urbanization, and living and working in smaller communities. Using an unusual approach named “crowd-sourced ethnography”, they conduct un-traditional ethnography and speculate on management of covert risk in their native countries. (shrink)

La cobertura universal de salud está en el centro de la acción actual para fortalecer los sistemas de salud y mejorar el nivel y la distribución de la salud y los servicios de salud. Este documento es el informe fi nal del Grupo Consultivo de la OMS sobre la Equidad y Cobertura Universal de Salud. Aquí se abordan los temas clave de la justicia (fairness) y la equidad que surgen en el camino hacia la cobertura universal de salud. Por lo (...) tanto, el informe es pertinente para cada agente que infl uye en ese camino y en particular para los gobiernos, ya que se encargan de supervisar y guiar el progreso hacia la cobertura universal de salud. (shrink)

This report from the WHO Consultative Group on Equity and Universal Health Coverage offers advice on how to make progress fairly towards universal health coverage.

Aworkshop was held August 26–28, 2015, by the Earth- Life Science Institute (ELSI) Origins Network (EON, see Appendix I) at the Tokyo Institute of Technology. This meeting gathered a diverse group of around 40 scholars researching the origins of life (OoL) from various perspectives with the intent to find common ground, identify key questions and investigations for progress, and guide EON by suggesting a roadmap of activities. Specific challenges that the attendees were encouraged to address included the following: What key (...) questions, ideas, and investigations should the OoL research community address in the near and long term? How can this community better organize itself and prioritize its efforts? What roles can particular subfields play, and what can ELSI and EON do to facilitate research progress? (See also Appendix II.) The present document is a product of that workshop; a white paper that serves as a record of the discussion that took place and a guide and stimulus to the solution of the most urgent and important issues in the study of the OoL. This paper is not intended to be comprehensive or a balanced representation of the opinions of the entire OoL research community. It is intended to present a number of important position statements that contain many aspirational goals and suggestions as to how progress can be made in understanding the OoL. The key role played in the field by current societies and recurring meetings over the past many decades is fully acknowledged, including the International Society for the Study of the Origin of Life (ISSOL) and its official journal Origins of Life and Evolution of Biospheres, as well as the International Society for Artificial Life (ISAL). (shrink)

Cantor’s proof that the powerset of the set of all natural numbers is uncountable yields a version of Richard’s paradox when restricted to the full definable universe, that is, to the universe containing all objects that can be defined not just in one formal language but by means of the full expressive power of natural language: this universe seems to be countable on one account and uncountable on another. We argue that the claim that definitional contexts impose restrictions on (...) the scope of quantifiers reveals a natural way out. (shrink)

I propose a revision of Cantor’s account of set size that understands comparisons of set size fundamentally in terms of surjections rather than injections. This revised account is equivalent to Cantor's account if the Axiom of Choice is true, but its consequences differ from those of Cantor’s if the Axiom of Choice is false. I argue that the revised account is an intuitive generalization of Cantor’s account, blocks paradoxes—most notably, that a set can be partitioned into (...) a set that is bigger than it—that can arise from Cantor’s account if the Axiom of Choice is false, illuminates the debate over whether the Axiom of Choice is true, is a mathematically fruitful alternative to Cantor’s account, and sheds philosophical light on one of the oldest unsolved problems in set theory. (shrink)

This analysis shows Cantor's diagonal definition in his 1891 paper was not compatible with his horizontal enumeration of the infinite set M. The diagonal sequence was a counterfeit which he used to produce an apparent exclusion of a single sequence to prove the cardinality of M is greater than the cardinality of the set of integers N.

The mathematician Georg Cantor strongly believed in the existence of actually infinite numbers and sets. Cantor’s “actualism” went against the Aristotelian tradition in metaphysics and mathematics. Under the pressures to defend his theory, his metaphysics changed from Spinozistic monism to Leibnizian voluntarist dualism. The factor motivating this change was two-fold: the desire to avoid antinomies associated with the notion of a universal collection and the desire to avoid the heresy of necessitarian pantheism. We document the changes in (...) class='Hi'>Cantor’s thought with reference to his main philosophical-mathematical treatise, the Grundlagen (1883) as well as with reference to his article, “Über die verschiedenen Standpunkte in bezug auf das aktuelle Unendliche” (“Concerning Various Perspectives on the Actual Infinite”) (1885). (shrink)

The paper continues my earlier Chat with OpenAI’s ChatGPT with a Focused LLM Experiment (FLEX). The idea is to conduct Large Language Model (LLM) based explorations of certain areas or concepts. The approach is based on crafting initial guiding prompts and then follow up with user prompts based on the LLMs’ responses. The goals include improving understanding of LLM capabilities and their limitations culminating in optimized prompts. The specific subjects explored as research subject matter include a) diagonalization techniques as practiced (...) by Cantor, Turing, Gödel, and the advances, such as the Forcing techniques introduced by Paul Cohen and later investigators, b) Knowledge Hierarchies & Mapping Exercises, c) Discussions of IJ Good’s Speculations Concerning the First Ultraintelligent Machine, AGI, and Super- intelligence. Results suggest variability between major models like ChatGPT-4, Llama-3, Cohere, Sonnet and Opus. Results also point to strong dependence on users’ preexisting knowledge and skill bases. The paper should be viewed as ’raw data’ rather than a polished authoritative reference. (shrink)

In this paper, I introduce an iterative method aimed at exploring numbers within the interval [0, 1]. Beginning with a foundational set, S0, a series of algorithms are employed to expand and refine this set. Each algorithm has its designated role, from incorporating irrational numbers to navigating non-deterministic properties. With each successive iteration, our set grows, and after infinite iterations, its cardinality is proposed to align with that of the real numbers. This work is an initial exploration into this approach, (...) and further investigation is encouraged to understand its full implications and potential. (shrink)

Sequel to Part I. In these articles, I describe Cantor’s power-class theorem, as well as a number of logical and philosophical paradoxes that stem from it, many of which were discovered or considered (implicitly or explicitly) in Bertrand Russell’s work. These include Russell’s paradox of the class of all classes not members of themselves, as well as others involving properties, propositions, descriptive senses, class-intensions and equivalence classes of coextensional properties. Part II addresses Russell’s own various attempts to solve these (...) paradoxes, including strategies that he considered and rejected (limitation of size, the zigzag theory, etc.), as well as his own final views whereupon many purported entities that, if reified, lead to these contradictions, must not be genuine entities, but ‘logical fictions’ or ‘logical constructions’ instead. (shrink)

In these articles, I describe Cantor’s power-class theorem, as well as a number of logical and philosophical paradoxes that stem from it, many of which were discovered or considered (implicitly or explicitly) in Bertrand Russell’s work. These include Russell’s paradox of the class of all classes not members of themselves, as well as others involving properties, propositions, descriptive senses, class-intensions, and equivalence classes of coextensional properties. Part I focuses on Cantor’s theorem, its proof, how it can be used (...) to manufacture paradoxes, Frege’s diagnosis of the core difficulty, and several broad categories of strategies for offering solutions to these paradoxes. (shrink)

Georg Cantor's absolute infinity, the paradoxical Burali-Forti class Ω of all ordinals, is a monstrous non-entity for which being called a "class" is an undeserved dignity. This must be the ultimate vexation for mathematical philosophers who hold on to some residual sense of realism in set theory. By careful use of Ω, we can rescue Georg Cantor's 1899 "proof" sketch of the Well-Ordering Theorem––being generous, considering his declining health. We take the contrapositive of Cantor's suggestion and add (...) Zermelo's choice function. This results in a concise and uncomplicated proof of the Well-Ordering Theorem. (shrink)

For any new internet-based product, service, or technology to succeed, it must satisfy the criterion of providing access to or creating a network of possible users, products, and services. This is the Conceptual Access-Network (CANTOR) Thesis proposed. In addition to the main issues of success and how and why internet technology evolves, the principle can also meet the objective of explaining what underlies a range of traditional and nontraditional technologies beyond the internet. Through qualitative exploration, the tenets of the (...) access-network thesis are applied to natural and synthetic forms of endocrine substances including insulin and highways. A discussion of technologically generated knowledge is included, as well as how phenomenotechnique can be used to establish a communication path between technology and what it produces. Dr. Stanley Milgram's intimate stranger phenomenon which was first explored in 1967, before the internet existed, will ultimately be distorted by the future of internet-based technologies. As previously discovered or established concepts are combined or permuted, the future will display numerous manifestations, combinations, and permutations. We conclude that successful internet-based products, services, or technologies simply would not work without an access network. From this article, we have gained a better understanding of the current development stage of internet-based products and technology, thereby enabling society to better anticipate the future of internet-based products and technology, highlight significant ethical considerations, and avoid unwanted outcomes. (shrink)

In Zettel, Wittgenstein considered a modified version of Cantor’s diagonal argument. According to Wittgenstein, Cantor’s number, different with other numbers, is defined based on a countable set. If Cantor’s number belongs to the countable set, the definition of Cantor’s number become incomplete. Therefore, Cantor’s number is not a number at all in this context. We can see some examples in the form of recursive functions. The definition "f(a)=f(a)" can not decide anything about the value of (...) f(a). The definiton is incomplete. The definition of "f(a)=1+f(a)" can not decide anything about the value of f(a) too. The definiton is incomplete.<br><br>According to Wittgenstein, the contradiction, in Cantor's proof, originates from the hidden presumption that the definition of Cantor’s number is complete. The contradiction shows that the definition of Cantor’s number is incomplete. <br><br>According to Wittgenstein’s analysis, Cantor’s diagonal argument is invalid. But different with Intuitionistic analysis, Wittgenstein did not reject other parts of classical mathematics. Wittgenstein did not reject definitions using self-reference, but showed that this kind of definitions is incomplete.<br><br>Based on Thomson’s diagonal lemma, there is a close relation between a majority of paradoxes and Cantor’s diagonal argument. Therefore, Wittgenstein’s analysis on Cantor’s diagonal argument can be applied to provide a unified solution to paradoxes. (shrink)

This article examines the thoughts and works of Catholic philosopher Jacques Maritain and evangelical philosopher Norman Geisler in light of their understanding of Thomas Aquinas’s view of faith and reason.

In “The Meaning of Rights,” Norman Wilde offers an original account of rights, still of interest. Rights, he contends, are possessed by an individual by virtue of the social function she fulfills. It is because individuals belong to a common social order, in which each has her part to play, that they are “entitled to the conditions necessary for playing it” [288]. This approach allows for a nuanced view, according to which rights are neither absolutely inherent to the individual (...) nor entirely dependent on social conventions. But is such a function-based justification of rights plausible? (shrink)

Ortega y Gasset is known for his philosophy of life and his effort to propose an alternative to both realism and idealism. The goal of this article is to focus on an unfamiliar aspect of his thought. The focus will be given to Ortega’s interpretation of the advancements in modern mathematics in general and Cantor’s theory of transfinite numbers in particular. The main argument is that Ortega acknowledged the historical importance of the Cantor’s Set Theory, analyzed it and (...) articulated a response to it. In his writings he referred many times to the advancements in modern mathematics and argued that mathematics should be based on the intuition of counting. In response to Cantor’s mathematics Ortega presented what he defined as an ‘absolute positivism’. In this theory he did not mean to naturalize cognition or to follow the guidelines of the Comte’s positivism, on the contrary. His aim was to present an alternative to Cantor’s mathematics by claiming that mathematicians are allowed to deal only with objects that are immediately present and observable to intuition. Ortega argued that the infinite set cannot be present to the intuition and therefore there is no use to differentiate between cardinals of different infinite sets. (shrink)