Um estudo sobre as origens da Lógica Matemáitca

The present study has as objective to explaining about the origins of the mathematical logic. This has its beginning attributed to the autodidactic English mathematician George Boole (1815-1864), especially because his books The Mathematical Analysis of Logic (1847) and An Investigation of the Laws of Thought (1854) are recognized as the inaugural works of the referred branch. However, surprisingly, in the same time another mathematician called Augutus of Morgan (1806-1871) it also published a book, entitled Formal Logic (1847), in defense of the mathematic logic. Even so, times later on this same century, another work named Elements of Logic (1875) it appeared evidencing the Aristotelian logic with Richard Whately (1787-1863), considered the better Aristotelian logical of that time. This way, our research, permeated by the history of the mathematics, it intends to study the logic produced by these submerged personages in the golden age of the mathematics (19th century) to we compare the valid systems in referred period and we clarify the origins of the mathematical logic. For that we looked for to delineate the panorama historical wrapper of this study. We described, shortly, biographical considerations about these three representatives of the logic of the 19th century formed an alliance with the exhibition of their point of view as for the logic to the light of the works mentioned above. In this sense, we aspirated to present considerations about what effective Aristotelian´s logic existed in the period of Boole and De Morgan comparing it with the new emerging logic (the mathematical logic). Besides of this, before the textual analysis of the works mentioned above, we still looked for to confront the systems of Boole and De Morgan for we arrive to the reason because the Boole´s system was considered better and more efficient. Separate of this preponderance we longed to study the flaws verified in the logical system of Boole front to their contemporaries' production, verifying, for example, if they repeated or not. We concluded that the origins of the mathematical logic is in the works of logic of George Boole, because, in them, has the presentation of a new logic, matematizada for the laws of the thought similar to the one of the arithmetic, while De Morgan, in your work, expand the Aristotelian logic, but it was still arrested to her

Uma reavaliação do pensamento lógico de George Boole à luz da história da matemática

The aim of the present study is to reevaluate the logical thought of the English mathematician George Boole (1815 - 1864). Thus, our research centers on the mathematical analysis of logic in the context of the history of mathematics. In order to do so, we present various biographical considerations about Boole in the light of events that happened in the 19th century and their consequences for mathematical production. We briefly describe Boole's innovations in the areas of differential equations and invariant theory and undertake an analysis of Boole's logic, especially as formulated in the book The Mathematical Analysis of Logic, comparing it not only with the traditional Aristotelian logic, but also with modern symbolic logic. We conclude that Boole, as he intended, expanded logic both in terms of its content and also in terms of its methods and formal elaboration. We further conclude that his purpose was the mathematical modeling of deductive reasoning, which led him to present an innovative formalism for logic and, because the different ways it can be interpreted, a new conception of mathematics

Etnobiologia do boto cinza (Sotalia guianensis, van Bénéden, 1864) por comunidades pesqueiras do Rio Grande do Norte, Basil

Ethnobiology studies Local Ecological Knowledge (LEK) as well as the use and management of natural resources by local communities in order to understand how the environment is perceived, known and classified by human groups. In fishing communities, LEK adds empirical information about the biology of aquatic species and complements scientific findings, especially when it is difficult to obtain factual information during studies on cetaceans, whose behavior is essentially underwater. Cetaceans (whales and dolphins) are constantly threatened by human activities, especially by accidental capture of small coastal species, as in the case of the estuarine dolphin (Sotalia guianensis), object of this study. Ethnobiological researches in fishing communities are of great importance and can clarify aspects of the biology and conservation of this species. Although extensively studied throughout its distribution range, there are still gaps in the knowledge about S. guianensis. Therefore, fishers local ecological knowledge becomes an additional tool to get and confirm information about S. guianensis. This study evaluated the LEK of artisanal fishers who are daily exposed to local population of S. guianensis, through the use of semistructured interviews (N=116). The interviewed fishers were asked about the biology and popular classification of S. guianensis and about possible interactions between this dolphin and them. The studied communities were located in Tibau do Sul (n=39), Pipa (n=36) and Baía Formosa (n=41), all on the south coast of Rio Grande do Norte, Brazil. The study was based on the assumption that differences in fishers LEK among those communities would be caused by both the variety of fishing environments (lagoon/estuary and ocean) and the intensity of tourism activities. Fishers knowledge is expressive and differed among the studied communities depending on the topic investigated. Fishers correctly reported the habitat, distribution, seasonality and behavioral particularities of S. guianensis. Tourism mainly affected the naming of the species. The study results also suggest that marine fishers have greater knowledge about the species than the estuarine/lagoon ones. Local populations accumulate empirical knowledge according to their environment. Hence, it is important to take into account both empirical knowledge and popular participation in management systems, in order to maintain information sharing among communities

Hermenêutica existencial em Agostinho de Hipona e Martin Heidegger

The thesis presents interpretations of Augustine of Hippo with regard to the first three chapters of genesis, the first book of the Bible. These interpretation are found in the works Literal Commentary on Genesis, concerning Genesis Against the Manicheans, Literal Commentary on Genesis, Unfinished, Books Xi-XIII of the Confessions, as well a brief exposition in Books XI-XIV of the City of God. Exposition of these Augustinian Commentaries seeks to demonstrate various interpretations made by author in one group of texts revealing a hermeneutics centered in the interpreter and not in established interpretive rules. In sequence there is described succinctly the evolution of textual hermeneutics during the modern period up to the reflections conducted by Martin Heidegger in the first half of the twenties. Based in Heidegger s existential commentaries on the Pauline Epistles (Galatians and I-II Thessalonians) and on the tenth Book of the Confessions, there is shown a return to a interpreter-based hermeneutics, such as practiced by Augustine. The concern manifested by Heidegger with regard to given bases foundations, existent in Dasein, foundations which can influence self-comprehension, constitute themselves in possibilities of explication as much for Augustinian interpretive variations, as for the existential approach applied by Heidegger to the Pauline epistles and Augustine s text

O lugar no espaço: de Martin Heidegger para Eduardo Chillida

In preparing the book Art and Space - originally titled Die Kunst und der Raum (1969) - together with the work of Eduardo Chillida, and devote the text written to the sculptor, Heidegger seems to see in the works of Chillida some of his key themes rescued and reunited. This fusion of content and thought was revealed in his dialogue, at another moment, with the poetry of Friedrich Hölderlin. This dissertation aims to present some of the fundamental concepts in Heidegger's work, especially space, place and art; as well as explain the dialogue between these concepts and the works and thoughts of the sculptor Eduardo Chillida. Amongst the main points of this convergence of thought between the philosopher and the sculptor, we can find: the definition of art; the relationship of world and earth; the thinking about the place of art nowadays; and the meanings of interspace, to incorporate and make the space positive

Ecologia alimentar do boto cinza, sotalia guianensis (van banédén, 1864), no litoral do rio grande do norte (rn)

This study investigated factors that influence the group size during the behavior foraging of estuarine dolphin Sotalia guianensis in the coast south of the state Rio Grande do Norte (RN), it also characterized the diet of estuarine dolphins and elaborated an otoliths catalog for aid in the identification of the preys found in the stomach contents. In relation to the group size during behaviour foraging, inside of the Curral Bay, larger frequency of solitary hunt was observed. Factors as tide variation, group composition and seasons didn't present correlation with the number of animals observed during a feeding episode. Capture success for participant was shown significantly larger when the animals hunted alone, what possibly explains the largest frequency of solitary hunt inside of the Curral Bay. About diet, were identified 18 bone fishes species, with predominance of species the families Haemulidae and Sciaenidae and five cephalopods species, including two new species in the diet of Sotalia guianensis in Brazil. Our results indicated that estuarine dolphin in the coast oriental from Rio Grande do Norte (RN) feeds predominantly of fish that form shoal, of habitat estuarino and producing of sounds. The analysis of the images, otoliths of 43 species of coastal fish of the coast of the state of Rio Grande do Norte (RN), aided by the offered descriptions, demonstrated to be an effective methodology for the knowledge of those structures, as well as it represented a form of reducing the subjectivity in the identification of the bone fishes found in stomach content

Boto cinza (Sotalia guianensis, Van Benédén, 1864) (Cetacea, Delphinidae): Atividade aérea, forrageio e interações inter-específicas, na Praia de Pipa (Tibau do Sul RN) e estudo comparativo entre duas populações do Nordeste do Brasil

Sotalia guianensis is a small cetacean of the Delphinidae family, with coastal habits and whose area of distribution ranges from Florianópolis (27º35'S, 48º34'W), in Brazil, to Honduras (15º58'N, 85º42'W). At Pipa beach, on the south coast of RN state, in Brazil, the species occur throughout the year. The present study was carried out in two bays, which are bordered by cliffs. The animals were monitored from vantage points, using the "Ad libitum" and "all the occurrences" methods; during the years of 1999 and 2004. The study was divided in 4 chapters: Behavioral standards of two populations of gray dolphin, (Sotalia guianensis, Van Benédén, 1864) in the northeast of Brazil; Aerial activity of the gray dolphin: its possible function and the influence of environmental and behavioral factors; The influence of daily and monthly variation of the tides, of the period of the day and group size on the gray dolphin forage activity; kleptoparasitism interactions of frigatebird (Fregata magnificens, Mattheus, 1914) during the gray dolphin forage activity. The results have shown that the gray dolphin has a varied and complex behavioral repertoire. The leap is the most frequent behavior; the aerial activity is diffuse during daylight and is influenced by some factors, such as the level of the tide and social factors. The gray dolphin, when in the bay, most frequently feeds isolate or in small groups. The forage is diffuse during daylight; however, being more frequent in the morning and is influenced by the daily and monthly variation of the tide. At Pipa beach, kleptoparasitarian interactions were registered between the gray dolphin and the frigatebird (Fregata magnificens). The frigatebird forage strategy consists basically of two ways: to fly over great extensions searching for dead fish and to steal food (kleptoparasitism). These interactions were predominantly carried out between immature and female adult birds and adult and immature dolphins, and occurred during daylight. The present study can be considered an initial landmark to a better knowledge on the gray dolphin surface behavior, especially regarding the aerial behavioral repertoire and forage strategy of this species. However, it is necessary to continue these studies, so that we can understand better the complex social life of these animals and thus create effective measures for its conservation

Uso de habitat, orçamento temporal e influência da maré da geomorfologia do fundo sobre o comportamento do boto Sotalia guianensis Van Bénéden, 1864 (Cetacea: Delphinidae) no Porto de Maceió - Alagoas, Brasil

The physical and environmental factors presented by each habitat and the rhythm of behavior patterns strongly influence the ecology and behavior of the all living beings. At same time this factors may provide clues about the structure of a population and its ecological balance. The organizational structure, ecology and behavior of a species appraised in a region if we know be in balance when compared to the same type of appraisal made in a degraded area can provide a clear view of how the anthropogenic influences acted on these species and what steps can be taken in order to mitigate the effects and keep the population. The region where this study was conducted is, like most areas of port, subject to intense physical and environmental degradation. With the emerging interest of change in the quality of these environments also by the companies themselves that use the port services, the proposed study aimed to characterize the use of habitat, the distribution of behavioral activities carried out throughout the day and influence of geomorphology of the bed, depth and variation of tide on the expression of the behavior of Sotalia guianensis in the port of Maceio - Alagoas. From this information will be possible establish parameters for comparison with other populations of S. guianensis and establish conservation measures for the population occurring in the port of Maceio - AL, serving also as a basis for conservation actions future performed in other port regions

Cuidado ao filhote de boto cinza, Sotalia guianensis (van Benédén, 1864)

In some species parental care is vital to survival. Many studies have reported various parental care behaviours in cetaceans. In Sotalia guianensis, some behaviours have been already described and linked to parental care. However, many aspects are still unknown and all these information might be important for the species conservation. The aim of the present study was minimize these gaps, showing the options involved in the marine tucuxi parental care. The observations took place in Enseada do Curral, located in Pipa, Tibal do Sul, Rio Grande do Norte Coast. Between January and December of 2005 the local population of tucuxi was observed during 42 days. The methods used were Focal Animal and Ad Libitum. The results suggest that calves are present in the bay all year long. Groups with calves had a mean of 6,9 animals, allowing the animals to participate in different activities in the group besides caring. The calves created different associations, being usually followed by an adult. In groups, the calves stay mainly in the centre, which offers them protection. Calves remained next to the adults tail, facilitating breastfeeding. The calves most noticeable activities were those in the surface and the behaviour frequencies decreased, in general, in the presence of human swimmers and boats, what could be considered a threat to the animals. Adults shared positions when caring for calves, suggesting allomaternal care; food transfer from adults to calves was observed, which might be related to diet acquisition; three non-described behaviours were seen, indicating a diversified behavioural repertoire for this species