Miguel Sanchez

The focus of this work is the analysis of changes in completed family size and possible determinants of that size over time, in an attempt to characterize the evolution of reproductive patterns during the demographic transition. With this purpose in mind, time trends are studied in relation to the mean number of live births per family (as an indirect measure of fertility), using family reconstitution techniques to trace the reproductive history of each married woman. The population surveyed is a Spanish rural community called Lanciego, located at the southern end of the province of Alava (Basque Country). A total of 24,510 parish records of baptisms, marriages and burials made between 1800 and 1969 were examined to obtain the demographic data set. For each reconstituted family, the variables included in the study were the number of live births per family or family size (FAMS), year of marriage (YEAR), age at marriage of both partners (AMAN, AWOM), wife’s age at the end of marriage (WEND), duration of marriage (MARD), age at first maternity (A1CH), length of reproductive span (REPS) and number of children dying before their first anniversary (MINF). Through a principal component analysis, three factors were found that explained more than 75% of the total variance. Association of variables in factors I and III was particularly useful in characterizing the variability of mean family size in pre-transitional, transitional and post-transitional cohorts. During demographic transition, a decreasing trend is observed in the variables FAMS, REPS and MINF, while variables AWOM, AMAN, WEND and A1CH show a tendency to increase over the 20th century. Results obtained by multiple regression analysis confirm that the best predictors of family size (dependent variable) were REPS and MINF, which between them explained over 85% of the total variation in FAMS (R2=0·853). In Lanciego, birth control seems to be present on the evidence of an increase in age at first maternity and a decrease in age at last parturition, indicating that the beginning of the reproductive span is delayed and its end is brought forward. Interaction between family size and infant mortality is discussed in the light of various hypotheses, including replacement of descendants, the so-called biological effect and the theory of r and k selection.

In this work, the evolution of demographic and health patterns in a Basque rural population from Spain is analysed, as they relate to progress in demographic and epidemiological transition. For this purpose, parochial record data on 13,298 births and 9215 deaths, registered during the 19th and 20th centuries (180090) resulting from cardiovascular diseases and malignant neoplasms (post-transition causes). This last point is in contrast with observations from the first four decades of the 20th century, when infectious diseases and respiratory ailments were determining factors in mortality among this population. The data provided by the study of the variation over time in demographic and health patterns indicate that reducing the risk of mortality is one of the most important preconditions for fertility decline.

Peut-on continuer à considérer les canons d’Elvire comme appartenant à un seul concile ? L’historiographie française la plus répandue jusqu'a ce jour a répondu affirmativement à cette question. Depuis la fin du siècle dernier, on assiste a un débat très anime sur l’authenticité et l’unité des Actes dits d’Elvire. Les différentes thèses se partagent entre deux approches totalement opposées : l’une soutient l’unité des Actes, sans refuser qu’ils aient pu être remanies au cours de leur transmission historique ; l’autre, a la suite de l’article pionnier de M. Meigne (1975), défend le caractère composite des Actes, qui constitueraient une collection de dispositions juridiques hétérogènes. L’article présente l’état actuel de la recherche sur le concile d’Elvire ainsi que les enjeux principaux du débat

It could be a part of the task of analyzing the history of the World the analysis of the history of rock. Such analysis could take us into a journey and an experience of unexpected paths of wealth and intricate course. Who follows such paths surely will face much more than mere lyrics, costumes, instruments, chords and musical rhythms. That wanderer better be prepared to confront memories and denounces of war, energetic crisis, works of art and a manifold of manifestations of social and political consciousness. Who travel these paths will live fully the experience if submerges him in an alternative and very promising way of meeting the universal history of the last fifty years. This way of understanding history is all about assuming rock as a soundtrack of the multiple features that is the world. In a few words, rock is a key of interpretation of history

Este ensayo pretende mostrar algunos elementos que ayuden a comprender la unidad y prolongación recíproca de las dos vertientes divergentes de producción intelectual de Gaston Bachelard; a la vez que saca provecho de las ricas implicaciones de su sugerente método de la ensoñación, como camino filosófico seguro que Bachelard creyó encontrar para dinamizar el psiquismo, y proponer, de este modo, un nuevo cogito de integración no cartesiano que se colocará a la base de su producción epistemológica , como de su ontología de la imaginación

For a standard Finsler F on a manifold M, the domain is the whole tangent bundle T M and the fundamental tensor g is positive-definite. However, in many cases, these two conditions hold in a relaxed form only, namely one has either a psuedo-Finsler metric or a conic Finsler metric. Our aim is twofold. First, we want to give an account of quite a few subtleties that appear under such generalizations, say, for conic pseudo-finsler metrics. Second, we aim to provide some criteria that determine when a pseudo-Finsler metric F obtained as a general homogeneous combination of Finsler metrics and one-forms is again a Finsler-metric -- or, more precisely, that the conic domain on which g remains positive-definite. Such a combination generalizes the known -metrics in different directions. Remarkably, classical examples of Finsler metrics are reobtained and extended, with explicit computations of their fundamental tensors

An arithmetical language, whose words are natural numbers written in hexadecimal numeration system, is defined and its applications for the representation, analysis and decision of formulae of some logical and normative systems are described and illustrated.The formulae, operations and relations of the represented system are associated as follows respectively to the numbers and the arithmetical operations and relations of the proposed language:1. Each well-formed-formula of the system is associated to a number of a set of natural numbers between zero (associated to all tautologies and theses) and the binary supremum Φ of the set (Φ is associated to all contradictions and antitheses and his value is 2n-1, n depending on system’s dimensions and structure).2. Negation of a formula and disjonction and conjonction of t wo other more formulae of the system are associated respectively to the binary complement Φ-N(f) of the number associated to the first and to the binary infimun and supremum of the numbers associated to the last.3. The logical relations “f1 implies f2” (f1 -> f2), “f1 is incompat.ible with f2” (f1|f2), “f1 is the contradictory opposite of f2” (f1wf2) and “f1 is alternative to f2” (f1vf2) are true in the represented system if and only if the associated arithmetical relations, respectively “N(f1) absorbs arithmetically N(f2)”, “binary supremum of N(f1) and N(f2) is equal to Φ”, “sum of of N(f1) and N(f2) is equal to Φ” and “binary infimum of N(f1) and N(f2) is equal to 0”, are true.The applications of the proposed arithmetical language as very rapid and simplified tool of analysis and decision method are shown for the following systems: propositional logic, syllogistic, some deontic and alethic modal systems and some normative systems of statutory law:1. In the propositional logic, after fixing the maximum of variables considered, the numbers associated to these variables and to the contradictions are calculated. On this permanent basis, the evaluation of a farmula (especially in the case of many occurrences of many variables) is performed by the calculation of the associated number faster as in the traditional way.2. In the syllogistic, after the calculation of the number associated to each type of premise or conclusion, an arithmetical table of syllogisms shows that a proposed syllogism is valid if and only if the binary supremum of the numbers associated to the premises absorbs arithmetically the number associated to the conclusion. It is well-known that the search of this sort of arithmetization of syllogistic and the study of its possibilitiy has been a recurrent topic in modern logic, from Leibniz to Łukasiewicz and to-day.3. In a deontic equivalent:ial system who includes Von Wright’s deontic system of 1982 far norms of the first order, the calculation of the numbers associated to an types of permission and obligation sentences allows the im mediate arithmetical verification of an the classical relations between those sentences. The same is shown for an alethic modal system including the modlities of the first order of Lewis’s S5.4. For normative systems of statutory law, the arithmetical verification of the logical and normative relations is shown in precedent author’s papers -especially in recent “The ‘Ars Judicandi.’ Programme”-, though not yet in hexadecimal numeration system but only in binary and decimal ones.In all the represented systems, the arithmetical verification of the metalogical properties of the system -consistency and completeness- is performed in a very easy and rapid manner, after the arithmetic representation of the axiomatic basis of the latter by a system of equations

Il s’agit d’une methode qui permet d’associer à chaque formule bien formée du système S5 de logique modale un nombre naturel invariant pour toutes les formules qui appartiennent a la même classe d’equivalence que la première.En particulier, étant donné que la méthode associe à toutes les tautologies du système le nombre o et a toutes les contradictions du système un certain nombre Φ, il suffit de calculer le nombre qui, en vertu des associations fondamentales, reste associé à n’importe quelle formule pour décider si cette dernière est tautologique, contradictoire ou contingente.Les relations logiques reliant deux formules du systeme -par exemple, des implications, des incompatibilités, des oppositions contradictaires, etc.- sont révéciés par un simpIe examen oculaire des nombres assoc iés aux formules données et une rapide vérification manuelle ou informatique fondée sur la comparaison des chiffres du même rang de ces nombres, écrits en hexadécimal.Finalement, l’analyse de la composition binaire du nombre associé a une formule donnée permet d’obtenir l’expression de la première sous sa forme normale conjonctive.La méthode décrite constitue donc une nouvelle méthode arithmétique de décision pour le système modal indiqué