Fragmentos da história das concepções de mundo na construção das ciências da natureza: das certezas medievais às dúvidas pré-modernas

A concepção filosófica do mundo se inicia com os gregos sintetizados por Platão e Aristóteles. Para o primeiro o mundo físico é aparente e para se chegar à verdade é preciso se lembrar das idéias originais que determinam seu significado. Para o segundo as coisas físicas são dirigidas pelas idéias e para entendê-las é preciso a lógica. Durante o helenismo a escola de Alexandria elabora o neoplatonismo, a base da Patrística. Após a queda de Roma, os filósofos bizantinos guardam a herança clássica. A Igreja constrói uma visão neoplatônica da cristandade, a Escolástica. No oriente os persas também sofreram a influência grega. Entre os árabes do Oriente o pensamento neoplatônico orienta filósofos e religiosos de forma que para eles a razão e a fé não se separam. Aí a ciências se desenvolvem na física, na alquimia, na botânica, na medicina, na matemática e na lógica, até serem subjugadas pela doutrina conservadora dos otomanos. Na Espanha mulçumana sem as restrições da teologia, a filosofia de Aristóteles é mais bem compreendida do que no resto do Islã. Também aí todas as ciências se desenvolvem rápido. Mas a Espanha sucumbe aos cristãos. Os árabes e judeus apresentam Aristóteles à Europa Ocidental que elabora um Aristóteles cristão. A matemática, a física experimental, a alquimia e a medicina dos árabes influenciam intensamente o Ocidente. Os artesãos constroem instrumentos cada vez mais precisos, os navegadores constroem navios e mapas mais eficientes e minuciosos, os armeiros calculam melhor a forma de lançamento e pontaria de suas armas e os agrimensores melhor elaboram a medida de sua área de mapeamento. Os artistas principalmente italianos, a partir dos clássicos gregos e árabes, criam a perspectiva no desenho, possibilitando a matematização do espaço. Os portugueses, junto com cientistas árabes, judeus e italianos, concluem um projeto de expansão naval e ampliam os horizontes do mundo. Os pensadores italianos, como uma reação à Escolástica, constroem um pensamento humanista influenciado pelo pensamento grego clássico original e pelos últimos filósofos bizantinos. Por todas essas mudanças se inicia a construção de um novo universo e de um novo método, que viria décadas mais tarde.

Max Stirner, o único e o que lhe é próprio: uma interpretação e(m) algun(s) ensaio(s)

This work has a study object the main thinking work of Johan Kaspar Schmidt well known as Max Stirner (1806-1856) - originally titled (in German), Der Einzige und sein Eigentun, and translated into Portuguese by the Portuguese publisher Antígona in 2004, under the title The Unique and its Ownership. This book was known in 1844 although its publication dated 1845 seen that the censor of that time rejected the publication request in that year - saying that ( ) in concrete passages of that work, not only God, Christ, the church and the religion are usually object of proposal blasphemy, but also because all social order, the state and the government are defined as something that should not exist simultaneously as one justifies the lie, perjury, the murder and suicide and denies the ownership right. After this first attack and rejection by its bearing the unique come to be others target, due practically to all the philosophical political thinkers its time including thinkers like Ludwig Feuerbach and Karl Marx & Friedrich Engels in spite of, on the other hand, having inspired formulations and reformulations of many of those thinkers that were against then in their times, as well as those thinkers that came after then such as Nietzsche himself. Even though this work was be victim of powerful attempts of erasing it of history, it has shown a great repercussion power and that is the main reason that led us to ask the following questions what is its big originality? , how could his author arrive at a so impactant perspective? What is its most legitimate political place? We endeavored in elaborate answers to those questions trough the exegesis of its text, taking in account both the scholarship environment where the author produced his intellectual life set - and the detailed reading of texts linked to discussion in focus, where this reading is always based upon the meaning and senses traced by the texts and its contexts as a precaution against the limits and the traps of the readings which shed light markedly on strict letter of the phrases constructs. Ours conclusions point at to the idea that a work like this , that subverts the characteristic ways of thought of the modernity, completely, continues being a utter odds, without rank in the history of thought and the moderns political practices, finding parallel possibility only, in a very special way, with a certain autharchic perspective of Ancient Greece

Problemas e modelos que contribuíram com o desenvolvimento do cálculo diferencial e integral: dos gregos à Newton

This article refers to a research which tries to historically (re)construct the conceptual development of the Integral and Differential calculus, taking into account its constructing model feature, since the Greeks to Newton. These models were created by the problems that have been proposed by the history and were being modified by the time the new problems were put and the mathematics known advanced. In this perspective, I also show how a number of nature philosophers and mathematicians got involved by this process. Starting with the speculations over scientific and philosophical natures done by the ancient Greeks, it culminates with Newton s work in the 17th century. Moreover, I present and analyze the problems proposed (open questions), models generated (questions answered) as well as the religious, political, economic and social conditions involved. This work is divided into 6 chapters plus the final considerations. Chapter 1 shows how the research came about, given my motivation and experience. I outline the ways I have gone trough to refine the main question and present the subject of and the objectives of the research, ending the chapter showing the theoretical bases by which the research was carried out, naming such bases as Investigation Theoretical Fields (ITF). Chapter 2 presents each one of the theoretical bases, which was introduced in the chapter 1 s end. In this discuss, I try to connect the ITF to the research. The Chapter 3 discusses the methodological choices done considering the theoretical fields considered. So, the Chapters 4, 5 and 6 present the main corpus of the research, i.e., they reconstruct the calculus history under a perspective of model building (questions answered) from the problems given (open questions), analyzing since the ancient Greeks contribution (Chapter 4), pos- Greek, especially, the Romans contribution, Hindus, Arabian, and the contribution on the Medium Age (Chapter 5). I relate the European reborn and the contribution of the philosophers and scientists until culminate with the Newton s work (Chapter 6). In the final considerations, it finally gives an account on my impressions about the development of the research as well as the results reached here. By the end, I plan out a propose of curse of Differential and Integral Calculus, having by basis the last three chapters of the article

Eram realmente pitagórico(a)s os homens e mulheres catalogado(a)s por Jâmblico em sua obra Vida de Pitágoras?

Pythagoras was one of the most important pre-Socratic thinkers, and the movement he founded, Pythagoreanism, influenced a whole thought later in religion and science. Iamblichus, an important Neoplatonic and Neopythagorean philosopher of the third century AD, produced one of the most important biographies of Pythagoras in his work Life of Pythagoras. In it he portrays the life of Pythagoras and provides information on Pythagoreanism, such as the Pythagorean religious community which resembled the cult of mysteries; the Pythagorean involvement in political affairs and in the government in southern Italy, the use of music by the Pythagoreans (means of purification of healing, use of theoretical study), the Pythagorean ethic (Pythagorean friendship and loyalty, temperance, self-control, inner balance); justice; and the attack on the Pythagoreans. Also in this biography, Iamblichus, almost seven hundred years after the termination of the Pythagorean School, established a catalog list with the names of two hundred and eighteen men and sixteen women, supposedly Pythagoreans of different nationalities. Based on this biography, a question was raised: to what extent and in what ways, can the Pythagoreans quoted by Iamblichus really be classified as Pythagoreans? We will take as guiding elements to search for answers to our central problem the following general objectives: to identify, whenever possible, which of the men and women listed in the Iamblichus catalog may be deemed Pythagorean and specific; (a) to describe the mystery religions; (b) to reflect on the similarities between the cult of mysteries and the Pythagorean School; (c) to develop criteria to define what is being a Pythagorean; (d) to define a Pythagorean; (e) to identify, if possible, through names, places of birth, life, thoughts, work, lifestyle, generation, etc.., each of the men and women listed by Iamblichus; (f) to highlight who, in the catalog, could really be considered Pythagorean, or adjusting to one or more criteria established in c, or also to the provisions of item d. To realize these goals, we conducted a literature review based on ancient sources that discuss the Pythagoreanism, especially Iamblichus (1986), Plato (2000), Aristotle (2009), as well as modern scholars of the Pythagorean movement, Cameron (1938), Burnet (1955), Burkert (1972), Barnes (1997), Gorman (n.d.), Guthrie (1988), Khan (1999), Mattéi (2000), Kirk, Raven and Shofield (2005), Fossa and Gorman (n.d.) (2010). The results of our survey show that, despite little or no availability of information on the names of alleged Pythagoreans listed by Iamblichus, if we apply the criteria and the definition set by us of what comes to be a Pythagorean to some names for which we have evidence, it is possible to assume that Iamblichus produced a list which included some Pythagoreans

Um estudo sobre a apreciação do raciocínio matemático na formação inicial de professores

The present work focused on developing teaching activities that would provide to the student in initial teacher training, improving the ability of mathematical reasoning and hence a greater appreciation of the concepts related to the golden section, the irrational numbers, and the incommensurability the demonstration from the reduction to the nonsensical. This survey is classified itself as a field one which data collection were inserted within a quantitative and qualitative approach. Acted in this research, two classes in initial teacher training. These were teachers and employees of public schools and local governments, living in the capital, in Natal Metropolitan Region - and within the country. The empirical part of the research took place in Pedagogy and Mathematics courses, IFESP in Natal - RN. The theoretical and methodological way construction aimed to present a teaching situation, based on history, involving mathematics and architecture, derived from a concrete context - Andrea Palladio s Villa Emo. Focused discussions on current studies of Rachel Fletcher stating that the architect used the golden section in this village construction. As a result, it was observed that the proposal to conduct a study on the mathematical reasoning assessment provided, in teaching and activity sequences, several theoretical and practical reflections. These applications, together with four sessions of study in the classroom, turned on to a mathematical thinking organization capable to develop in academic students, the investigative and logical reasoning and mathematical proof. By bringing ancient Greece and Andrea Palladio s aspects of the mathematics, in teaching activities for teachers and future teachers of basic education, it was promoted on them, an improvement in mathematical reasoning ability. Therefore, this work came from concerns as opportunity to the surveyed students, thinking mathematically. In fact, one of the most famous irrational, the golden section, was defined by a certain geometric construction, which is reflected by the Greek phrase (the name "golden section" becomes quite later) used to describe the same: division of a segment - on average and extreme right. Later, the golden section was once considered a standard of beauty in the arts. This is reflected in how to treat the statement questioning by current Palladio s scholars, regarding the use of the golden section in their architectural designs, in our case, in Villa Emo

Mestres e aprendiz: perambulando por ilhas de resistência

Monoculture of mind This idea, presented by Vandana Shiva, reflects the phase that we have experienced in the world: a notion of civilization that, since many decades, characterized by a technocratic big trend, has been shown as dominant and hegemonic. Based on a thinking and acting, felling and whishing standardization, this wave ends implying in what can be called of humanity‟s crisis at civilizational process. Destruction of simpler and more harmonious lifestyles with nature, human relations increasingly distant, values embrittlement, as respect, goodness and love, are some consequences of that behavioral homogenization. In the other hand, appears an archipelago of cultural and cognitive resistance against this devastating wave. Edgar Morin and Ceiça Almeida refer to this archipelago as a South Thought , what is not just a geographic question. Report, therefore, to some places, peoples, island that keep ancient costumes and knowledge, orally transmitted, for instance, from elders to younger, or vice versa, in an almost constant flow. Particular ways of experiencing the world around themselves, the men, animals, plants, rocks, or even not alive beings, masters or enchanted, spiritual guides. Next to a logic of sensitive, as Claude Levi-Strauss proposes, this reading, which is a more attentive, observer and wiser posture of surroundings, is based on touching, smelling, eating, seeing, and, I would add, felling. In light of this, I try to expatiate about certain experiences that I had the pleasure of living in some of these islands of resistance. Talks, perceptions, observations, sensations Stories, prose, poetries, music, photos, graphics Whatever could serve to portray even a bit of the reflections and forms to understand (ourselves) and produce knowledge, such as from a formation/Education to life, was well used at this ethnographic work. Space to the subjectivity and emotions I had, have, and will have a lot Everything for the dear reader may fell traveling around the world of tradition, resistance

Propriedades dos sistemas de numeração: uma sequência didática em uma abordagem histórica

This paper aims to describe the construction and validation of a notebook of activities whose content is a didactic sequence that makes use of the study of ancient numbering systems as compared to the object of our decimal positional numbering system Arabic. This is on the assumption that the comparison with a system different from our own might provide a better understanding of our own numbering system, but also help in the process of arithmetic operations of addition, subtraction and multiplication, since it will force us to think in ways that are not routinely object of our attention. The systems covered in the study were the Egyptian hieroglyphic system of numbering, the numbering system Greek alphabet and Roman numbering system, always compared to our numbering system. The following teachung is presented structured in the form of our activities, so-called exercise set and common tasks around a former same numbering system. In its final stage of preparation, the sequence with the participation of 26 primary school teachers of basic education

A falta de ética e de espírito público na política brasileira

Unfortunately, the Brazilian politics has been characterized by lack of ethics. In a few exceptions, our representatives often behave in the exercise of power as if they were there to care for their own interests and not public affairs. Despite the dissatisfaction that the situation seems to trigger to society, the electorate does not get to transform their anger into effective gesture in order to withdraw from the public setting people who can not fulfill their mandate at the polls. Instead, the re-election of bad politicians has become commonplace fact. In this study, we proposed to discuss the matter in light of traditional philosophical theories, by selecting exponents of ethical thought from the Ancient Period to the Modern. We put special emphasis on behalf of amorality in Florentine thinker's ideas, to Machiavelli s political doctrine.

A retórica em Aristóteles: da orientação das paixões ao aprimoramento da eupraxia

This research brings into focus the relationship between the work Rhetoric, from Aristotle, and the conceptions of ethics and practical wisdom of the philosopher from Stageira. Accordingly, it attempts to show that Aristotle's Rhetoric was produced to guide the construction and orientation of oratory passions of the Greek man, setting it as a reference for practices aimed at social ordering of the polis. In other words, the Aristotelian Rhetoric, designed by the author as the study of what is persuasive in every speech, is not composed with the meaning of persuasion at any cost, in another sense it is conceived by Aristotle as a useful knowledge for the improvement eupraxic (the good act in accordance with the fair and true). This research finds that such work has been prepared by Stagirite a time of strong social transformations and upheavals in ancient Greece: The skepticism expanded, with each person wanting to live their own businesses, and especially in Athens, a city that served as intellectual and political reference, there was a lack of collective spirit. In this tumultuous social environment, Aristotle, with a culture of Greeks eager Trusted reviews and socially shareable in the field of verisimilitude, sought with his Rhetoric, contributing to the development of ethics and political science; referrals for legal and organization of inter-social relations in varied environments, including seeking to provide knowledge about human passions and emotional status of active citizens in deliberative meetings

O corpo no pensamento de Epicuro: limites e possibilidades

The theme that fits the perspective of this thesis comes from the interest of treating, in the Epicurean corpus, about the importance of the body and its manners of realization for understanding the thought of Epicurus of Samos. Based on the inferences contained in the texts that remained from Epicurus, we did an analysis of the aspects that characterize Epicurism as a thought that makes repeated references to the body as an instance of sensitivity. It was necessary, therefore, to discuss how the body is linked to the possibility of thought, and how the latter can be admitted as a body element. It is further understood that the atomistic physics converges to the idea that asserts natural phenomena as likely to be contained and explained by the observations that come from the senses which are manifested through the body. For this reason, it was also pertinent to reflect on the admission of the body as a key element for the interpretation of Epicurean thought, even under the constitution of language. The Epicurean construction about body image was also used for the interpretation and questioning of the dynamics that define the relationships between individuals, characterizing the koinonía of the garden through the notion of corporeal unity. It was defined, therefore, that the characterization of the action field of individuals who lived in the Epicurean garden revolves around the use of logos, with the dialogues coming from the exercise of philosophy for therapeutic purposes, which were able to introduce a specific mode of political action marked by the absence of strange interests of the notion of philía

Agostinho e o ceticismo: um estudo da crítica agostiniana ao ceticismo em Contra Acadêmicos

The assent of the Truth: here's a formula that seems to have puzzled philosophers since antiquity. The possibility of apprehending truth was defended by some philosophers who have been called dogmatic, due to their haste to judge appearances as representations of reality, and refuted by those who chose to continue questioning rather than engage with his predicament. These thinkers were called skeptics. Among those who defended the consent of the truth, is highlighted by St. Augustine in this research, which aims to combat the widespread skepticism in the ancient doctrine of the Academy of Plato in his work Against Academicos. Thus, to conduct this research we ask: What are the main arguments made by St. Augustine against the scholarly skepticism? In order to address the problem identified, we propose to investigate the critical skepticism of St. Augustine, identifying and analyzing the main rebuttals he built. For this purpose, we conducted a survey of aspects of both the skepticism about the life and thought of St. Augustine about this doctrine

Nós e os gregos

Este artigo responde afirmativamente à questão, vez por outra retomada, da efetiva contribuição que o estudo do pensamento político dos antigos gregos pode trazer ao debate dos problemas com que se defrontam as modernas sociedades democráticas.

Filosofia e paradigma em Cícero

Cícero é uma das poucas fontes críticas de textos do pensamento helenístico durante o período da Roma republicana. Ele atualiza a filosofia grega e, concomitantemente, reconhece a superioridade do direito romano. O espírito prático e guerreiro do povo romano afastava a filosofia, mas a emergência de novos problemas exigia reflexão. Nas disputas políticas e jurídicas, a retórica era um instrumento indispensável. O reaparecimento de estudos retóricos no século XX permitiu que alguns comentadores reconsiderassem a relação entre a retórica e a filosofia, propiciando algumas reflexões sobre o papel de Cícero na historiografia da filosofia.

Morphological and physiological specialization for digging in amphisbaenians, an ancient lineage of fossorial vertebrates

Amphisbaenians are legless reptiles that differ significantly from other vertebrate lineages. Most species dig underground galleries of similar diameter to that of the animal. We studied the muscle physiology and morphological attributes of digging effort in the Brazilian amphisbaenid Leposternon microcephalum (Squamata; Amphisbaenia), which burrows by compressing soil against the upper wall of the tunnel by means of upward strokes of the head. The individuals tested (<72 g) exerted forces on the soil of up to 24 N. These forces were possible because the fibres of the longissimus dorsi, the main muscle associated with burrowing, are highly pennated, thus increasing effective muscle cross-sectional area. The muscle is characterized by a metabolic transition along its length: proximal, medial and distal fibres are fast contracting and moderately oxidative, but fibres closer to the head are richer in citrate synthase and more aerobic in nature. Distal fibres, then, might be active mainly at the final step of the compression stroke, which requires more power. For animals greater than a given diameter, the work required to compress soil increases exponentially with body diameter. Leposternon microcephalum, and probably some other highly specialized amphisbaenids, are most likely constrained to small diameters and can increase muscle mass and effective muscle cross-sectional area by increasing body length, not body diameter.

Cytogenetic Mapping of 5S and 18S rRNAs and H3 Histone Genes in 4 Ancient Proscopiidae Grasshopper Species: Contribution to Understanding the Evolutionary Dynamics of Multigene Families

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)