An edition based upon the Elwes translation, consisting of selections from Parts III, IV, and V of the original. The text has been prepared in such a way that the mathematical method of Spinoza has been obscured by a more literary arrangement.--J. E. B.

In this paper, we re-examine a series of gedanken welcher Weg (WW) experiments introduced by Scully, Englert and Walther that contain the essential ideas underlying the quantum eraser. For this purpose we use the Bohm model which gives a sharp picture of the behaviour of the atoms involved in these experiments. This model supports the thesis that interference disappears in such WW experiments, even though the centre of mass wave function remains coherent throughout the experiment. It also shows exactly what (...) it means to say ‘that the interference can be restored by manipulating the WW detectors long after the atoms have passed’. It does not support Wheeler’s notion that ‘the past is undefined and undefinable without the observation (in the present)’. (shrink)

In this paper we show how the dynamics of the Schrödinger, Pauli and Dirac particles can be described in a hierarchy of Clifford algebras, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\mathcal{C}}_{1,3}, {\mathcal{C}}_{3,0}$\end{document}, and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\mathcal{C}}_{0,1}$\end{document}. Information normally carried by the wave function is encoded in elements of a minimal left ideal, so that all the physical information appears within the algebra itself. The state of the quantum process can be (...) completely characterised by algebraic invariants of the first and second kind. The latter enables us to show that the Bohm energy and momentum emerge from the energy-momentum tensor of standard quantum field theory. Our approach provides a new mathematical setting for quantum mechanics that enables us to obtain a complete relativistic version of the Bohm model for the Dirac particle, deriving expressions for the Bohm energy-momentum, the quantum potential and the relativistic time evolution of its spin for the first time. (shrink)

Purpose: Explore public attitudes towards the trade-offs between justice and medical outcome inherent in organ allocation decisions.Background: The US Task Force on Organ Transplantation recommended that considerations of justice, autonomy and medical outcome be part of all organ allocation decisions. Justice in this context may be modeled as a function of three types of need, related to age, clinical urgency, and quality of life.Methods: A web-based survey was conducted in which respondents were asked to choose between two hypothetical patients who (...) differed in clinical urgency , age, pretransplant and post-transplant quality of life, and life expectancy.Results: A pool of 1600 people were notified via email about the survey; 623 responded. Respondents preferred giving organs to younger people up to an age difference of <15.4 years and more clinically urgent people up to a difference in urgency of <2.54 months . Priority varied with the quality of life of the worst-off patient and the relative status of the patients. If both had worse than average quality of life, respondents preferred the better-off patient. When both had better than average quality of life, they preferred the worse-off patient. In analysis according to age versus clinical urgency, the older the patient, the more urgency needed to receive priority. In quality of life versus clinical urgency, the better the control’s quality of life, the more urgency the competing patient required. The worse the patient’s post-transplant outcome, the more urgency needed to receive priority.Conclusions: It appears that clinical urgency is only one of many factors influencing attitudes about allocation decisions and that respondents may invoke different principles of fairness depending the relative clinical status of patients. (shrink)

Purpose: Explore public attitudes towards the trade-offs between justice and medical outcome inherent in organ allocation decisions.Background: The US Task Force on Organ Transplantation recommended that considerations of justice, autonomy and medical outcome be part of all organ allocation decisions. Justice in this context may be modeled as a function of three types of need, related to age, clinical urgency, and quality of life.Methods: A web-based survey was conducted in which respondents were asked to choose between two hypothetical patients who (...) differed in clinical urgency , age, pretransplant and post-transplant quality of life, and life expectancy.Results: A pool of 1600 people were notified via email about the survey; 623 responded. Respondents preferred giving organs to younger people up to an age difference of <15.4 years and more clinically urgent people up to a difference in urgency of <2.54 months . Priority varied with the quality of life of the worst-off patient and the relative status of the patients. If both had worse than average quality of life, respondents preferred the better-off patient. When both had better than average quality of life, they preferred the worse-off patient. In analysis according to age versus clinical urgency, the older the patient, the more urgency needed to receive priority. In quality of life versus clinical urgency, the better the control’s quality of life, the more urgency the competing patient required. The worse the patient’s post-transplant outcome, the more urgency needed to receive priority.Conclusions: It appears that clinical urgency is only one of many factors influencing attitudes about allocation decisions and that respondents may invoke different principles of fairness depending the relative clinical status of patients. (shrink)

This comprehensive reference volume features essays by some of the most distinguished scholars in the field. Provides a comprehensive "who's who" guide to medieval philosophers. Offers a refreshing mix of essays providing historical context followed by 140 alphabetically arranged entries on individual thinkers. Constitutes an extensively cross-referenced and indexed source. Written by a distinguished cast of philosophers. Spans the history of medieval philosophy from the fourth century AD to the fifteenth century.

A paperback reprint of Berkeley's classic work published first in 1710.--J. E. B.

Shortages of new therapeutics to treat coronavirus disease (COVID-19) have forced clinicians, public health officials, and health systems to grapple with difficult questions about how to fairly allocate potentially life-saving treatments when there are not enough for all patients in need (1). Shortages have occurred with remdesivir, tocilizumab, monoclonal antibodies, and the oral antiviral Paxlovid (2) -/- Ensuring equitable allocation is especially important in light of the disproportionate burden experienced during the COVID-19 pandemic by disadvantaged groups, including Black, Hispanic/Latino and (...) Indigenous communities, individuals with certain disabilities, and low-income persons. However, many health systems have resorted to first-come, first-served approaches to allocation, which tend to disadvantage individuals with barriers in access to care (3). There is mounting evidence of racial, ethnic, and socioeconomic disparities in access to medications for COVID-19 (4, 5). -/- One potential method to promote equitable allocation is to use a weighted lottery, which is an allocation strategy that gives all eligible patients a chance to receive the scarce treatment while also allowing the assignment of higher or lower chances according to other ethical considerations (6). We sought to assess the feasibility of implementing a weighted lottery to allocate scarce COVID-19 medications in a large U.S. health system and to determine whether the weighted lottery promotes equitable allocation. (shrink)