We prove that the strong polarized relation $\left( {\mu _\mu ^ + } \right) \to \left( {\mu _\mu ^ + } \right)_2^{1.1}$ is consistent with ZFC, for a singular ì which is a limit of measurable cardinals.

Photo by Hannah Busing on Unsplash INTRODUCTION Religion has long provided guidance that has led to standards reflected in some aspects of medical practices and traditions. The recent bioethical literature addresses numerous new problems posed by advancing medical technology and demonstrates an erosion of standards rooted in religion and long widely accepted as almost axiomatic. In the deep soul-searching that pervades the publications on bioethics, several disturbing and dangerous trends neglect some basic lessons of philosophy, logic, and history. The bioethics (...) discourse on medical aid in dying emphasizes similarity over previously recognized important distinguishing features. For example, it overplays a likeness between assistance in dying and the withdrawal of life-saving technology. In many bioethics’ topics, arguments based on a logical continuum are used to question the lines demarcating important moral differences. l. The Line Between Ethical and Not: Logic Based on Continuum Careful case selection, often either end of a continuum, allows the tearing down or ridiculing of many rules and codes across most professions and fields of interest. This situation holds true for traffic laws as well as medical ethics guidelines. It is relatively simple for those who desire to attack a particular viewpoint by selecting a case that makes that position seem untenable. In the ethics realm, good and bad medicine exist at opposite ends of an ethical continuum, with many practices lying in between. For example, much of medical ethics exists between the Nazi criminal physicians and the most sainted nurse or physician. A gradual progression occurred over less than two decades from a utilitarian position that supported limited euthanasia for those with certain mental illnesses to genocide. German society embraced a utilitarian ethic in which the value of human life no longer was intrinsic but instrumental.[1] Many morally significant points on a continuum were then ignored as the misguided utilitarian policy rampantly continued. A point in the continuum to distinguish between ethically justifiable and that which is not can be difficult to identify compared to the two extremes. This continuum is not unique to ethics but can be applied to almost any other aspect of human life and endeavor. Between a severely ill schizophrenic person and a superbly well-adjusted individual, there is a continuum of mental and psychological function. The existence of a continuum should not paralyze thinking and prevent us from drawing lines and identifying moral differences based on objective criteria as well as moral philosophy. Yet, by focusing on a continuum, many bioethicists use logic to disregard dividing lines between an "ethical" and an "unethical" act. Unfortunately, sometimes bioethicists draw revolutionary conclusions that would change the scope of medical practices which is accepted as ethical. There are many examples of similar shifts on the continuum. Many authors argue for the ethical permissibility of abortion by pointing out that the human fetus is no different in various characteristics, one arguing it is as like an ape or chick as it is like a person,[2] and does not achieve unique human and individual characteristics until well into the first year of life.[3] While human fetuses arguably do not have certain distinctive qualities of personhood, most people shy away from the logical next conclusion: permitting infanticide. For example, Joshua Lederberg condemns infanticide, in the face of biological illogic, because of our emotional commitment to infants, to me, a relatively weak explanation. Sir Francis Crick suggests we might consider birth at two days of life in order to decide whether an infant is a "suitable" member of society.[4] Giublini and Minerva suggest that infanticide should be permissible since late pregnancy abortions are permissible, arguing there is no significant difference between a fetus just before birth and an infant just after birth.[5] Clearly the continuum approach would allow for subjective arguments in favor of later infanticide at other points many days post-birth. Years ago, with a cynical tone, I mentioned infanticide as a further step on the continuum beyond abortion, and I was rightly shouted down as being deliberately provocative to assert the logic would ever stretch so far. While it is not an accepted mainstream position, the movement in academic settings from widespread condemnation to limited possible acceptance of infanticide has taken place in an incredibly short time. Public opinion and medical opinion in these areas have shifted dramatically in a short time. In another area, from a biological and chemical point of view, there is a continuum from man down to a single carbon atom. Yet, it would not seem logical to ignore the emotional differences, the meaning of personhood, or the moral distinction between killing an insect and killing a person. ll. A False Continuum: Medical Aid in Dying I assert that there has been an erosion of ethical guidelines in recent years attributable to using continuums to camouflage important distinctions. James Rachels’ work on active and passive euthanasia, which contends that the two are ethically identical, exemplifies that logic.[6] He illustrates this thesis, using a continuum to compare different scenarios with like consequences as morally equivalent, by comparing the deliberate drowning of a child with a deliberate failure to rescue a drowning child when easily able to do so. The author's comparison proposes that since much of the medical profession has already made peace with withholding treatment in order to hasten death, consistency inexorably demands that we permit active euthanasia as well.[7] When permission for active euthanasia was first introduced, it was limited exclusively to patients suffering severely from an intractable, incurable, and irreversible disease. These guidelines have been continuously eroded. There is now a substantial serious consideration for permitting active euthanasia of healthy elderly individuals who feel that they have completed their lives and are "tired of living."[8] There are many moral and factual differences along the ethical continuum. In human life, there is a difference between a live baby and a fetus, between a viable fetus and one that is not, between a fetus and a zygote, and between a zygote and a sperm cell. Similarly, there is a difference between pulling a trigger to kill someone and not interfering in preventing his death, which is reprehensible though both may be. There is a difference between not resuscitating an 80-year-old man with cancer when his heart stops and injecting him with a fatal dose of potassium chloride. I argue that an overt act of taking life repels civilized human beings is to be commended and encouraged as the reverence for human life or even for just a moment of human life is one of the great contributions of our civilization. CONCLUSION As an orthodox Jew, I feel that divinely inspired guidelines that have stood the test of centuries shape my beliefs, and such guidelines contradict medical aid in dying. I cannot speak to the viewpoint of those who do not access religion in defining their moral stance, nor do I implicate them in the current bioethics' trends, as I am not aware of the personal role of religion in the lives of most such authors. While many nonreligious people have a firm philosophical grounding and oppose medical aid in dying, I suggest that in the absence of any religious or other absolute standards, developing logically defensible ethical guidelines may be challenging. At the least, religion may play a role in defining the points on the continuums that are ethically meaningful and refuting the trending beliefs that if the endpoint is the same, allowing different methods of arriving at that end are somehow ethically equal. The continuum of ways death may result does not negate analysis of whether death is brought about in ways that recognize the importance of life. The German philosopher Hans Jonas said, "It is a question whether without restoring the category of the sacred, the category most thoroughly destroyed by the scientific enlightenment, we can have an ethics able to cope with the extreme powers that we possess today and constantly increase and are compelled to use."[9] While countries vary on the role of religion in policy, with many emphasizing freedoms of religion, a recent position paper released by a group of Jewish, Christian, and Moslem leaders suggested the need for agreement on the unique sanctity of human life.[10] I would recommend that such a document serve as an example of consensus on critical foundational bioethical guidelines for democratic secular societies. - [1] Alexander L Medical science under dictatorship. New England Journal of Medicine, 241, p39-47 DOI10.1056/NEJM194907142410201 [2] Lederberg J. A geneticist looks at contraception and abortion, Annals of Internal Medicine 67, sup 2, 25-27. https:/doi.org/10.7326/0003-4819-67-3-25 [3] Ibid. [4] Editorial, Sociology: Logic of biology. Nature 220, 429 https://www.nature.com/articles/220429b0 [5] Giublini A Minerva F After-birth abortion: why should the baby live. J Med Ethics 39, 261- [6] Rachels J Active and passive euthanasia. New England Journal of Medicine 292, 78-80 [7] Ibid. [8] Cohen-Almagor R Euthanizing people who are "tired of life". in Euthanasia and Assisted Suicide-Lessons from Belgium. Ch 11 of Euthanasia and Assisted Suicide, Cambridge University Press pp173-187. 2017 and DOI; https://doi.org/10.1017/9781108182799.012 [9] Hans Jonas, Technology and Responsibility: Reflections on the New Tasks of Ethics, 1972, found as Chapter IX, Philosophical Essays, 1980. https://inters.org/jonas-technology-responsability [10] A position paper of the Abrahamic Monotheistic religions on matters concerning the end-of-life. Vatican Press 28 October 2019 https://press.vatican.va/content/salastampa/en/bollettino/pubblico/2019/10/28/191028f.html. (shrink)

I was deeply moved and inspired by Jason Dubroff’s article1 objecting to the source of the white coat distributed to the entering medical students at his school. The article stimulated me to ponder its implications and led to some thoughtful discussions with colleagues. Here was a busy medical student who was appropriately disturbed at what he regarded as a kind of ethical failure at the very ceremony, which was meant to exemplify and emphasise the values of humanism. However, unlike many (...) of us who notice evidence of ethical insensitivity, react with a sigh or a comment, and go on with our lives without significant alteration in our normal activities, Jason initiated an investigation of the issue, researched it in his own time, and even proposed remedial actions—a remarkable, unusual and impressive course of events. His article reinforced some of my personal prejudices. To those of my colleagues who nostalgically bewail the alleged decrease in idealism in today’s entering medical students, I can point to Jason as an example of the kind of ethical sensitivity, …. (shrink)

Intelligent systems are faced with the problem of securing a principled (ideally, veridical) relationship between the world and its internal representation. I propose a unified approach to visual representation, addressing both the needs of superordinate and basic-level categorization and of identification of specific instances of familiar categories. According to the proposed theory, a shape is represented by its similarity to a number of reference shapes, measured in a high-dimensional space of elementary features. This amounts to embedding the stimulus in a (...) low-dimensional proximal shape space. That space turns out to support representation of distal shape similarities which is veridical in the sense of Shepard's (1968) notion of second-order isomorphism (i.e., correspondence between distal and proximal similarities among shapes, rather than between distal shapes and their proximal representations). Furthermore, a general expression for similarity between two stimuli, based on comparisons to reference shapes, can be used to derive models of perceived similarity ranging from continuous, symmetric, and hierarchical, as in the multidimensional scaling models (Shepard, 1980), to discrete and non-hierarchical, as in the general contrast models (Tversky, 1977; Shepard and Arabie, 1979). (shrink)

This article analyses the biochemical object of tnf inhibitors from the perspective of living with an autoimmune disease. The author tries to tease out how the concept of immune inhibition is used in tandem with the biochemical object of tnf inhibitors to dominate in defining and narrating what health and disease, normal and pathological, cure and healing can mean in the context of autoimmune bodies. Specifically, and within the ‘pathological’ framework of autoimmune diseases, the pharmacological treatment of tnf inhibition is (...) designed to suppress the ‘overly’ active immune system, thus acting as a negative or suppressing biochemical agent aimed at putting the ‘malfunctioning’ immune system back in balance. As can be seen in the current conjuncture, tnf inhibitors officially —and governmentally— place those taking them in a risk group, as they 'lower' their overall bodily immunity and make them more vulnerable to infectious diseases, while stabilizing their patho-logical, ‘over’-immune uninhibited condition. Part personal narrative of being diagnosed with an autoimmune condition, part speculative autoimmune theory inspired by such a diagnosis, the article ultimately calls for a different form of embodiment that is neither negative nor affirmative, and yet is resistant even to itself. (shrink)

Idealized mo dels of receptive elds (RFs) can be used as building blocks for the creation of p owerful distributed computation systems. The present rep ort concentrates on inv estigating the utility of collections of RFs in representing 3D objects under changing viewing conditions. The main requirement in this task is that the pattern of activity of RFs vary as little as p ossible when the object and the camera move relative to each other. I propose a method for representing (...) objects by RF activities, based on the observation that, in the case of rotation around a xed axis, dierences of activities of RFs that are prop erly situated with resp ect to that axis remain inv ariant. Results of computational exp eriments suggest that a representation scheme based on this algorithm for the choice of stable pairs of RFs would p erform consistently b etter than a scheme inv olving random sets of RFs. The proposed scheme may be useful under object or camera rotation, b oth for ideal Lam b ertian objects, and for real-world objects such as human faces. (shrink)

Suppose $D$ is an ultrafilter on $\kappa$ and $\lambda^\kappa = \lambda$. We prove that if ${\bf B}_i$ is a Boolean algebra for every $i.

The collapse of quantum states is analyzed in terms of a breakdown into two generic phases: Phase I, in which the field of potentialities that the quantum state represents undergoes a discontinuous and unpredictable change into one of the base states which corresponds to the measurement performed, and phase II, in which a transition from the level of potentialities to the level of actualities takes place. Phase I is discussed in relation to a comment about collapse, made by Dirac in (...) conversation with the author, “Nature makes a choice.” An analysis of phase II leads to the suggestion that it occurs only through and as an act of experience. This postulate is shown to elucidate basic questions regarding the interpretation of quantum mechanics, such as the elusive demarcation line between the classical and quantum domains, and the controversy of the ontological vs. epistemological interpretation of quantum mechanics. (shrink)

A computational theory of consciousness should include a quantitative measure of consciousness, or MoC, that (i) would reveal to what extent a given system is conscious, (ii) would make it possible to compare not only different systems, but also the same system at different times, and (iii) would be graded, because so is consciousness. However, unless its design is properly constrained, such an MoC gives rise to what we call the boundary problem: an MoC that labels a system as conscious (...) will do so for some – perhaps most – of its subsystems, as well as for irrelevantly extended systems (e.g., the original system augmented with physical appendages that contribute nothing to the properties supposedly supporting consciousness), and for aggregates of individually conscious systems (e.g., groups of people). This problem suggests that the properties that are being measured are epiphenomenal to consciousness, or else it implies a bizarre proliferation of minds. We propose that a solution to the boundary problem can be found by identifying properties that are intrinsic or systemic: properties that clearly differentiate between systems whose existence is a matter of fact, as opposed to those whose existence is a matter of interpretation (in the eye of the beholder). We argue that if a putative MoC can be shown to be systemic, this ipso facto resolves any associated boundary issues. As test cases, we analyze two recent theories of consciousness in light of our definitions: the Integrated Information Theory and the Geometric Theory of consciousness. (shrink)

Part I Introduction -/- Passion at a Distance (Don Howard) -/- Part II Philosophy, Methodology and History -/- Balancing Necessity and Fallibilism: Charles Sanders Peirce on the Status of Mathematics and its Intersection with the Inquiry into Nature (Ronald Anderson) -/- Newton’s Methodology (William Harper) -/- Whitehead’s Philosophy and Quantum Mechanics (QM): A Tribute to Abner Shimony (Shimon Malin) -/- Bohr and the Photon (John Stachel) -/- Part III Bell’s Theorem and Nonlocality A. Theory -/- Extending the Concept of (...) an “Element of Reality” to Work with Inefficient Detectors (Daniel M. Greenberger) -/- A General Proof of Nonlocality without Inequalities for Bipartite States (GianCarlo Ghirardi and Luca Marinatto) -/- On the Separability of Physical Systems (Jon P. Jarrett) -/- Bell Inequalities: Many Questions, a Few Answers (Nicolas Gisin) -/- B. Experiment -/- Do Experimental Violations of Bell Inequalities Require a Nonlocal Interpretation of Quantum Mechanics? II: Analysis a la Bell (Edward S. Fry, Xinmei Qu, and Marlan O. Scully) -/- The Physics of 2 = 1 + 1 (Yanhua Shih) -/- Part IV Probability, Uncertainty, and Stochastic Modifications of Quantum Mechanics -/- Interpretations of Probability in Quantum Mechanics: A Case of “Experimental Metaphysics” (Geoffrey Hellman) -/- “No Information Without Disturbance”: Quantum Limitations of Measurement (Paul Busch) -/- How Stands Collapse II (Philip Pearle) -/- Is There a Relation Between the Breakdown of the Superposition Principle and an Indeterminacy in the Structure of the Einsteinian Space-Time? (Andor Frenkel) -/- Indistinguishability or Stochastic Dependence? (D. Costantini and U. Garibaldi) -/- Part V Relativity -/- Plane Geometry in Spacetime (N. David Mermin) -/- The Transient nows (Steven F. Savitt) -/- Quantum in Gravity? (Michael Horne) -/- A Proposed Test of the Local Causality of Spacetime (Adrian Kent) -/- Quantum Gravity Computers: On the Theory of Computation with Indefinite Causal Structure (Lucien Hardy) -/- “Definability,” “Conventionality,” and Simultaneity in Einstein–Minkowski Space-Time (Howard Stein) -/- Part VI Concluding Words -/- Bistro Banter: A Dialogue with Abner Shimony and Lee Smolin -/- Unfinished Work: A Bequest (Abner Shimony) -/- Bibliography of Abner Shimony. (shrink)

Photographers John Shimon and Julie Lindemann use antique cameras, modern lens technology, artificial light, and contemporary pop culture to create portraits of the people in their native state amidst backyards, living rooms, parking lots, and the landscape of Wisconsin. These recent photographs are juxtaposed with portraits from the Milwaukee Art Museum’s permanent collections, including daguerreotype portraits, ambrotypes, and tintypes of anonymous people taken by nineteenth-century photographers, as well with photographs by such well-known artists as Alfred Stieglitz, Sally Mann, Larry (...) Clark, Walker Evans, Nan Goldin, Eugene von Beuenchenhein, and Francis Ford. The pairings of new and old illustrate the legacy of portraiture and the significance of “posing” before the lens, and each image is enriched by its proximity to another, unmasking sitter, photographer, and viewer. Unmasked & Anonymous: Shimon & Lindemann Consider Portraiture includes more than sixty color and black-and-white photographs plus essays by Shimon, Lindemann, and Milwaukee Art Museum curator Lisa Hostetler. (shrink)

Central to contemporary cognitive science is the notion that mental processes involve computations defined over internal representations. This view stands in sharp contrast to the to visual perception and cognition, whose most prominent proponent has been J.J. Gibson. In the direct theory, perception does not involve computations of any sort; it is the result of the direct pickup of available information. The publication of Gibson's recent book (Gibson 1979) offers an opportunity to examine his approach, and, more generally, to contrast (...) the theory of direct perception with the computational/representational view. In the first part of the present article (Sections 2direct perceptioncase study”: the problem of perceiving the three-dimensional shape of moving objects is examined. This problem, which has been extensively studied within the immediate perception framework, serves to illustrate some of the inherent shortcomings of that approach. Finally, in Section 5, an attempt is made to place the theory of direct perception in perspective by embedding it in a more comprehensive framework. (shrink)

Книга предназначена для социологов, политологов, философов, а также преподавателей и студентов социальных и политических специальностей.

Commentary on Nūr al-Tahz̲īb, textbook taught in Maddrassa (religious schools) in Pakistan by religious scholar from Peshawar, Pakistan.

Collected sayings of Muslim Caliphs and saints.