The long history of ergodic and quasi-ergodic hypotheses provides the best example of the attempt to supply non-probabilistic justifications for the use of statistical mechanics in describing mechanical systems. In this paper we reverse the terms of the problem. We aim to show that accepting a probabilistic foundation of elementary particle statistics dispenses with the need to resort to ambiguous non-probabilistic notions like that of (in)distinguishability. In the quantum case, starting from suitable probability conditions, it is possible to deduce elementary (...) particle statistics in a unified way. Following our approach Maxwell-Boltzmann statistics can also be deduced, and this deduction clarifies its status.Thus our primary aim in this paper is to give a mathematically rigorous deduction of the probability of a state with given energy for a perfect gas in statistical equilibrium; that is, a deduction of the equilibrium distribution for a perfect gas. A crucial step in this deduction is the statement of a unified statistical theory based on clearly formulated probability conditions from which the particle statistics follows. We believe that such a deduction represents an important improvement in elementary particle statistics, and a step towards a probabilistic foundation of statistical mechanics.In this Part I we first present some history: we recall some results of Boltzmann and Brillouin that go in the direction we will follow. Then we present a number of probability results we shall use in Part II. Finally, we state a notion of entropy referring to probability distributions, and give a natural solution to Gibbs' paradox. (shrink)
The development of information and communication technologies delineates, especially in its reticulate articulation, an environment in which artistic experimentation, with its modalities of representation, is able to express itself in a particularly remarkable manner. This environment, moreover, seems to promote creativity and the affirmation of the cognitive capacities in general. To better understand such potentialities, however, it is opportune to consider also those positions (such as Paul Virilio’s) that are hyper-critical of the advent of the “electric environment” and its “artistic” (...) articulations. (shrink)
Los métodos productivos de enseñanza preparan a los estudiantes para resolver problemas semejantes a los que se enfrentarán en el ejercicio laboral. Este trabajo tiene como objetivo fundamentar la pertinencia de la utilización del caso clínico como herramienta didáctica para la enseñanza en las ciencias básicas biomédicas, mediante un sistema de tareas para abordar los contenidos del tema Fisiología de la sangre de la asignatura Sangre y Sistema Inmune de la carrera de medicina. El caso clínico permite la vinculación de (...) las ciencias básicas biomédicas con las ciencias clínicas. Su utilización contribuye a la aproximación del estudiante de las ciencias básicas al estudio de estas durante su formación médica. El aprendizaje se logra a lo largo del proceso de resolución del mismo, se estimula la incorporación de conceptos necesarios para resolver el problema y se aprende un método para abordar situaciones en la práctica. Se elaboró un sistema de tareas y preguntas derivadas del problema profesional síndrome anémico. El problema docente se basó en un artículo médico que expone un caso de lesiones por empalamiento que produjo un gran sangramiento en un individuo. Se elaboraron preguntas problémicas relacionadas con la fisiología de la sangre y el tratamiento que recibió el paciente con eritropoyetina, factores de la coagulación y soluciones cristaloides en sustitución de la sangre. Se incluyó una pregunta que aborda un conflicto ético para sistematizar los conocimientos adquiridos en la asignatura Sociedad y Salud II. Productive teaching methods train students to solve problems similar to those they will face in their work life. The objective of the paper is to argue pertinence in the use of the clinical case as a didactic tool in biomedical basic sciences teaching by means of a task system that deals with the contents of the Blood Physiology subject in the Blood and Immune System subject matter of the medicine degree. Clinical cases enable the link between biomedical basic sciences and clinical sciences. Their use contributes to basic sciences students' approach to the study of the latter during their medical training. Learning is achieved through its solving process; the introduction of necessary problem-solving concepts is encouraged and a method to deal with in-practice situations is learned. A task and questions system derived from the anemic syndrome professional problem was made. The teaching problem was based on a medical article which presents a case of an individual who suffered impaling injuries which caused a great bleeding. Problem questions related to blood physiology and to the erythropoietin-based treatment the patient received, coagulation factors and crystalloid fluids used as blood substitutes, were prepared. It was included a question that deals with an ethical conflict in order to systematize the knowledge acquired in the Society and Health II subject matter. (shrink)
The long history of ergodic and quasi-ergodic hypotheses provides the best example of the attempt to supply non-probabilistic justifications for the use of statistical mechanics in describing mechanical systems. In this paper we reverse the terms of the problem. We aim to show that accepting a probabilistic foundation of elementary particle statistics dispenses with the need to resort to ambiguous non-probabilistic notions like that of (in)distinguishability. In the quantum case, starting from suitable probability conditions, it is possible to deduce elementary (...) particle statistics in a unified way. Following our approach Maxwell-Boltzmann statistics can also be deduced, and this deduction clarifies its status.Thus our primary aim in this paper is to give a mathematically rigorous deduction of the probability of a state with given energy for a perfect gas in statistical equilibrium; that is, a deduction of the equilibrium distributions for a perfect gas. A crucial step in this deduction is the statement of a unified statistical theory based on clearly formulated probability conditions from which the particle statistics follows. We believe that such a deduction represents an important improvement in elementary particle statistics, and a step towards a probabilistic foundation of statistical mechanics.The present Part II is devoted to this deduction. Part I presented the necessary tools. After the deduction of the probability of a state with given energy for a system in statistical equilibrium, we will propose in the last section a simple model giving an ergodic interpretation of the equilibrium distributions. (shrink)