Einstein's gravitational redshift derivation in his famous 1916 paper on general relativity seems to be problematic, being mired in what looks like conceptual difficulties or at least contradictions or gaps in his exposition. Was this derivation a blunder? To answer this question, we will consider Einstein’s redshift derivations from his first one in 1907 to the 1921 derivation made in his Princeton lectures on relativity. This will enable to see the unfolding of an interdependent network of concepts and heuristic derivations (...) in which previous ideas inform and condition later developments. The resulting derivations and views on coordinates and clocks are in fact not without inconsistencies. However, we can see these difficulties as an aspect of an evolving network understood as a “work in progress”. (shrink)

The purpose of this work is to address what notion of geometrical object and geometrical figure we have in different kinds of geometry: practical, pure, and applied. Also, we address the relation between geometrical objects and figures when this is possible, which is the case of pure and applied geometry. In practical geometry it turns out that there is no conception of geometrical object.

A re-evaluation of the notion of vacuum in quantum electrodynamics is presented, focusing on the vacuum of the quantized electromagnetic field. In contrast to the ‘nothingness’ associated to the idea of classical vacuum, subtle aspects are found in relation to the vacuum of the quantized electromagnetic field both at theoretical and experimental levels. These are not the usually called vacuum effects. The view defended here is that the so-called vacuum effects are not due to the ground state of the quantized (...) electromagnetic field. Nevertheless it is possible to maintain an empirically demonstrable notion of vacuum state that is consistent with the interpretation of the formalism of the theory. (shrink)

Integrating personality, behavioral, and cognitive theories of change, the author examines the operations, measurement, and evolution of behavioral and ethical standards that distinguish capitalism from other ideologies.

The cognitive basis of geometry is still poorly understood, even the ‘simpler’ issue of what kind of representation of geometric objects we have. In this work, we set forward a tentative model of the neural representation of geometric objects for the case of the pure geometry of Euclid. To arrive at a coherent model, we found it necessary to consider earlier forms of geometry. We start by developing models of the neural representation of the geometric figures of ancient Greek practical (...) geometry. Then, we propose a related model for the earliest form of pure geometry – that of Hippocrates of Chios. Finally, we develop the model of the neural representation of the geometric objects of Euclidean geometry. The models are based on the hub-and-spoke theory. In our view, the existence of specific models opens the possibility of addressing the relationship between geometric figures and geometric objects, in a novel way, in terms of their neural representation. (shrink)

Philosophy of Physics has emerged recently as a scholarly important subfield of philosophy of science. However outside the small community of experts it is not a well-known field. It is not clear even to experts the exact nature of the field: how much philosophical is it? What is its relation to physics? In this work it is presented an overview of philosophy of physics that tries to answer these and other questions.

It has been argued in relation to Old Babylonian mathematical procedure texts that their validity or correctness is self-evident. One “sees” that the procedure is correct without it having, or being accompanied by, any explicit arguments for the correctness of the procedure. Even when agreeing with this view, one might still ask about how is the correctness of a procedure articulated? In this work, we present an articulation of the correctness of ancient Egyptian and Old Babylonian mathematical procedure texts – (...) mathematical texts presenting the solution of problems. We endeavor to make explicit and explain how and why the procedures are reliable over and above the fact that their correctness is intuitive. (shrink)

Despite being increasingly available to us all, retirement pensions remain unequally distributed: between rich and poor, young and old, men and women, and possibly different generations. As this topic receives little attention in moral and political philosophy, the articles in this thesis aim to deliver an original account of justice in retirement pensions along liberal egalitarian lines. The first part defends retirement pensions as a distribution of free time. It shows that including free time in the list of goods that (...) liberal egalitarians prioritise is plausible and avoids problems that would otherwise arise with other candidates, most notably leisure. Retirement as free time is an essential feature of liberal egalitarian societies by (re)distributing the means to pursue any life project, and especially valuable for the poor who work and contribute the longest. The second part makes a case for 'libertirement', a proposal to increase the freedom to enjoy free time across life, as a matter of justice between those who live long and those who die early. Specifically, I propose adding reverse pensions and sabbaticals on top of old-age retirement. Besides showing the importance of longevity for age-group justice, I also draw implications for distributing unconditional basic income and income taxes across life, which I suggest may offer alternative paths to libertirement. Finally, the third part discusses the cases of pension inequality between genders and generations, pushing us to refine our account further. I conclude that there is often a mismatch between liberal egalitarian justice and the design of retirement schemes. The solution is often but not always to reform these systems. Sometimes, we have reasons to revise our very own principles of justice. (shrink)

In this paper, we will make explicit the relationship that exists between geometric objects and geometric figures in planar Euclidean geometry. That will enable us to determine basic features regarding the role of geometric figures and diagrams when used in the context of pure and applied planar Euclidean geometry, arising due to this relationship. By taking into account pure geometry, as developed in Euclid’s Elements, and practical geometry, we will establish a relation between geometric objects and figures. Geometric objects are (...) defined in terms of idealizations of the corresponding figures of practical geometry. We name the relationship between them as a relation of idealization. This relation, existing between objects and figures, is what enables figures to have a role in pure and applied geometry. That is, we can use a figure or diagram as a representation of geometric objects or composite geometric objects because the relation of idealization corresponds to a resemblance-like relationship between objects and figures. Moving beyond pure geometry, we will defend that there are two other ‘layers’ of representation at play in applied geometry. To show that, we will consider Euclid’s Optics. (shrink)

We present an approach in which ancient Greek mathematical proofs by Hippocrates of Chios and Euclid are addressed as a form of (guided) intentional reasoning. Schematically, in a proof, we start with a sentence that works as a premise; this sentence is followed by another, the conclusion of what we might take to be an inferential step. That goes on until the last conclusion is reached. Guided by the text, we go through small inferential steps; in each one, we go (...) through an autonomous reasoning process linking the premise to the conclusion. The reasoning process is accompanied by a metareasoning process. Metareasoning gives rise to a feeling-knowing of correctness. In each step/cycle of the proof, we have a feeling-knowing of correctness. Overall, we reach a feeling of correctness for the whole proof. We suggest that this approach allows us to address the issues of how a proof functions, for us, as an enabler to ascertain the correctness of its argument and how we ascertain this correctness. (shrink)

While Einstein considered that sub specie astern the correct philosophical position regarding geometry was that of the conventionality of geometry, he felt that provisionally it was necessary to adopt a non-conventional stance that he called practical geometry. here we will make the case that even when adopting Einstein’s views we must conclude that practical geometry is conventional after all. Einstein missed the fact that the conventionality of simultaneity leads to a conventional element in the chrono-geometry, since it corresponds to the (...) possibility of different space-time metrics. (shrink)

A perverted space-time geodesy results from the idea of variable rods and clocks, whose length and rates are taken to be affected by the gravitational field. By contrast, what we might call a concrete geodesy relies on the idea of invariable unit-measuring rods and clocks. Indeed, this is a basic assumption of general relativity. Variable rods and clocks lead to a perverted geodesy, in the sense that a curved space-time may be seen as a result of a departure from the (...) Minkowskian space-time as an effect of the gravitational field on the rate of clocks and the length of rods. In the case of a concrete geodesy, we have a curved space-time “directly”, the curvature of which can be determined using (invariable) unit-measuring rods and clocks. In this paper, we will make the case for the plausibility of the claim that Einstein’s views on geometry in relation to general relativity are permeated by a perverted geodesy. (shrink)

There is not, of course, a one-to-one relation between policy conclusions and the conclusions of positive economics; if there were, there would be no ...

Archimedes’ statics is considered as an example of ancient Greek applied mathematics; it is even seen as the beginning of mechanics. Wilbur Knorr made the case regarding this work, as other works by him or other mathematicians from ancient Greece, that it lacks references to the physical phenomena it is supposed to address. According to Knorr, this is understandable if we consider the propositions of the treatise in terms of purely mathematical elaborations suggested by quantitative aspects of the phenomena. In (...) this paper, we challenge Knorr’s view, and address propositions of Archimedes’ statics in their relation to physical phenomena. (shrink)

Une géodésie spatio-temporelle pervertie résulte des notions de règles et d’horloges variables, qui sont prises pour avoir leur longueur et leur rythme affectés par le champ gravitationnel. D’autre part ce que nous pourrions appeler une géodésie concrète repose sur les notions de règles et d’horloges invariables de mesure d’unité. En fait, il s’agit d’une hypothèse de base de la relativité générale. Les règles et les horloges variables conduisent à une géodésie pervertie dans le sens où un espace-temps courbe pourrait être (...) vu comme provenant du départ de l’espace-temps Minkowskien comme un effet du champ gravitationnel sur le rythme d’horloges et la longueur des règles. Dans le cas d’une géodésie concrète, nous avons « directement » un espace-temps courbe dont la courbure peut être déterminée en utilisant des règles et des horloges de mesure d’unité (invariables). Dans cet article, nous défendrons la plausibilité que le point de vue d’Einstein sur la géométrie par rapport à la relativité générale est imprégné par une géodésie pervertie. (shrink)

Fully updated and revised, this contemporary classic discusses the powerful moral issues facing corporate America: conflicts of interest, payoffs, trade secrets, insider trading, product safety and product liability, hiring, drug testing, sexual harassment, diversity, reverse discrimination, employee productivity monitoring, Internet/computer privacy, worker safety, whistle-blowing, ethical decision-making, ethical accounting and advertising practices, environmental responsibility, down-sizing, and the conduct of multinational corporations. These are just some of the many topics raised in this versatile text. Enhanced by many new case studies, questions for (...) discussion, and valuable bibliographies, Business Ethics focuses on the issues that will confront decision-makers well into the new century. (shrink)

Universal basic income proposes providing instalments of constant magnitude to all. One problem with a stable basic income across life is that it seems unfair to shorter-lived persons, who are worst-off due to premature death and receive less over their whole lives. Basic capital solves this problem by providing a one-off grant to the young, but I argue that it mistreats long-lived persons, as it does not guarantee their real freedom across life. There is a dilemma between these proposals regarding (...) their respective unfairness to the short- and long-lived. The solution I propose is a net basic income of decreasing magnitude until a specific age, after which the income is constant. This solution is compatible with constant income benefits across life, and it offers a fair answer to the problem of unequal longevity, a widely neglected but essential challenge in debates about basic income. (shrink)

in this paper we return to Marshall Clagett’s view about the existence of an ancient Greek geometry of motion. It can be read in two ways. As a basic presentation of ancient Greek geometry of motion, followed by some aspects of its further development in landmark works by Galileo and Newton. Conversely, it can be read as a basic presentation of aspects of Galileo’s and Newton’s mathematics that can be considered as developments of a geometry of motion that was first (...) conceived by ancient Greek mathematicians. (shrink)

The purpose of this work is to address the relation existing between ancient Greek practical geometry and ancient Greek pure geometry. In the first part of the work, we will consider practical and pure geometry and how pure geometry can be seen, in some respects, as arising from an idealization of practical geometry. From an analysis of relevant extant texts, we will make explicit the idealizations at play in pure geometry in relation to practical geometry, some of which are basically (...) explicit in definitions, like that of segments in Euclid’s Elements. Then, we will address how in pure geometry we, so to speak, “refer back” to practical geometry. This occurs in two ways. One, in the propositions of pure geometry. The other, when applying pure geometry. In this case, geometrical objects can represent practical figures like, e.g., a practical segment. (shrink)

En este artículo deseamos observar, desde el punto de vista literario, el relato de la Creación contado por los indígenas mayas-quichés en el Popol Vuh y compararlo con el relato bíblico del Génesis. Encontrar los puntos en común y las diferencias entre los dos textos nos llevará a observar la idea ..

At a time when there is an ever-widening gap between what the expert knows and what the average person believes, this accessible volume clearly explains the scientific facts and concepts that are indispensable for an understanding of our material universe. Milton Rothman examines sixteen standard myths about the nature of science, demonstrating that much of what passes for logical argumentation consists of the repetition of clichés and current folklore.--Publisher description.

This paper addresses the role of analogical reasoning in archaeoastronomy - the discipline which studies the connections between the ancient monuments and the heavens. Archaeoastronomy is a highly interdisciplinary science, placed at the border between the humanities – especially archaeology – and the scientific approach to cultural heritage. As a consequence, its scientific foundations are a delicate matter. We plan to investigate here the question of what constitutes the evidence for analogical inferences in archaeoastronomy and to what extent one can (...) achieve confirmation of archaeoastronomical hypotheses by means of such analogies. Our claim will be that, when deployed in accordance with the methodology articulated in this paper, analogies can be a highly effective epistemic tool for generating and supporting hypotheses about the relation of archaeological sites with astronomical events. (shrink)

Nel 2011 sono mancati Paolo Lucentini e Alfonso Maierù. Nel ricordarne la vicenda umana e professionale come ricercatori e come docenti, questo articolo intende mettere in luce in particolare il contributo che essi hanno dato alla Storia del pensiero medievale accompagnando gli studi dottrinali con importanti edizioni di testi inediti. Paolo Lucentini and Alfonso Maierù passed away in 2011. This article, in remembrance of their personal and professional roles as researchers and teachers, will highlight the contributions that they made to (...) the history of medieval thought, showing how they combined doctrinal studies with important editions of unedited texts. (shrink)

This volume aims to capture the basic thrust of progressive views about justice in the recent period. Fisk's selections show that in the ground-breaking work now being done, there is a unity of ethical and political considerations. Theoretical concerns and studies of practical justice are also addressed. The editor incorporates high theory as expounded by figures like Rawls and Habermas, as well as applications to issues of race, gender, law, ecology and class. Since the 19th century intellectual background is important (...) for studying current developments in justice, J S Mill, Marx and T H Green are also included to represent the current of social change from that time. Finally, recent debates on whether justice can be colour- or gender-blind are represented in the writings of a number of known African-American and women writers. The anthology focuses on applied issues. It should be of interest to students taking courses in political philosophy, political theory, ethics, social theory and intellectual history. It should also be a useful guide for graduate students and instructors who wish to follow the current debate on justice. (shrink)

Of all the risks we face in life, ranging from unemployment to old age, early death is among the most tragic and yet most neglected by modern states. Liberal egalitarians might find it easy to dismiss social insurance against early death, but I argue they should not. Early in this paper, I explain why social insurance should include the risk of premature death by replying to four common criticisms. What follows is a case for a novel form of insurance that (...) is more liberal and egalitarian across ages than the status quo. More specifically, I show that granting storable pensions in all life stages - youth, middle and old age - promotes liberty and reduces lifetime inequality. Writers on age group and longevity justice often overlook the extent to which liberal lifetime equality can supply insightful arguments against inequality across ages. These call for a policy that gives each age group the freedom to draw a storable pension. I call that policy "freetirement". (shrink)

El presente trabajo estudia la concepción erótica de la subjetividad en la Fenomenología del espíritu de Hegel. Las tesis que intentamos mostrar son dos. La primera es que la concepción erótica de la subjetividad tiene un sentido muy restringido: es la referencia negativa y puramente inmediata a la cosa viva, la aniquilación del objeto natural que no alcanza la completa negación del ser-otro porque la dimensión erótica de la subjetividad requiere e implica la autonomía del objeto en cuestión. La segunda (...) tesis es que, en cuanto posicionamiento práctico y negativo de la autoconciencia respecto de su objeto, la concepción erótica de la subjetividad no se limita al Capítulo IV, aunque es en este último, y específicamente en su parte introductoria, donde se establecen los caracteres propios de dicha concepción. (shrink)

The aim of this paper is twofold. Firstly, to systematize Butler’s reading of the introductory part and section A of chapter IV of the Phenomenology of Spirit through the joint approach of Subjects of Desire, The Psychic Life of Power and You Be My Body for Me. Secondly, to take a critical position regarding the Butlerian hermeneutics. The existing research lacks a critical approach. We seek to problematize her reading so as to be able to contribute critically to the corpus (...) of complementary bibliography on this issue. (shrink)

El presente trabajo aborda de manera exploratoria la recepción argentina de la Phänomenologie des Geistes de 1807 en los años 60. Nuestro propósito consiste en examinar las obras más destacadas, delimitar los lineamientos interpretativos, las problemáticas de interés más acuciantes, los interlocutores principales y las obras disponibles. En primer lugar, presentamos el tema y señalamos los antecedentes más relevantes. En segundo lugar, nos detenemos en la década de 1960. Sostenemos que los intereses fundamentales de esta etapa se dividen en cuatro (...) temáticas: i. la dialéctica de las figuras de la conciencia, ii. los escritos juveniles de Hegel y su relación con la Phä., iii. las interpretaciones francesas y iv. la relación entre Hegel y Marx. Examinamos las obras más significativas de este periodo a la luz de esta estructuración temática. Finalmente, en tercer lugar, realizamos algunas consideraciones conclusivas que nos permiten dar con una caracterización general de la cuestión desarrollada. (shrink)

This paper surveys the issue of relativistic causality within the framework of algebraic quantum field theory . In doing so, we distinguish various notions of causality formulated in the literature and study their relationships, and thereby we offer what we hope to be a useful taxonomy. We propose that the most direct expression of relativistic causality in AQFT is captured not by the spectrum condition but rather by the axiom of local primitive causality, in that it entails a form of (...) local determinism for quantum fields which generalizes the constraint of no superluminal propagation of classical field theories to relativistic quantum field theory. We discuss the status of the axiom of micro-causality by locating its place within a large family of separability/independence/locality conditions developed for AQFT and also by relating it to so-called no-signalling theorems. And we also provide a critical survey of attempts to understand the implications for relativistic causality of the distant correlations endemic to the states in models of AQFT satisfying the standard axioms, and we provide an assessment of attempts to employ Reichenbach's common cause principle in AQFT to defuse worries that these distant correlations implicate direct causal connections between relatively spacelike events. (shrink)