Walking Through Cantor's Paradise and Escher's Garden: Epistemological Reflections on the Mathematical Infinite (II)

Infinity is not an easy concept. A number of difficulties that people cope with when dealing with problems related to infinity include its abstract nature, understanding infinity as an ongoing, never ending process, understanding infinity as a set of an infinite number of elements and appreciating well-known paradoxes. Infinity can be understood in several ways with often incompatible meanings, and can involve value judgments or assumptions that are neither explicit nor desired. To usher in its definition, we distinguish several aspects, teleological, artistic (Escher); some definitive, some potential, and others actual. This article also deals with some still unresolved aspects of the concept of infinity.

Rosa gallica l. var. officinalis (hort. ex Andrews) Ser. en el norte de Alicante (Comunidad Valenciana)

Se ha localizado en el margen de la carretera comarcal CV 795 en su kilómetro 17 próximo a Ulls de Canals y dentro del término de Banyeres de Mariola, una buena población asilvestrada de Rosa gallica L. var. officinalis (hort. ex Andrews) Ser., que corresponde a la segunda población localizada en Alicante, puesto que se conocía una población pero situada próxima al litoral en la comarca de la Marina Alta. La llamada rosa de Provins o provincialis (de Provenza) es una de las rosas cultivadas en Europa desde más antiguo, probablemente la primera. Aparece dibujada en los frescos de Pompeya, fue también la rosa de las boticas (“Officinalis”) y se corresponde con la famosa rosa roja o Rosa de Lancanster, símbolo de este bando en la Guerra de civil inglesa llamada de “las dos rosas”. Su cultivo en España fue muy importante y era frecuentemente citada en la literatura botánica antigua, fue llamada “rosa de Castilla” pero con el tiempo y el abandono del campo, su presencia fue disminuyendo y de forma asilvestrada solo aparece en unas pocas provincias españolas, aunque se sigue manteniendo su cultivo a pequeña escala en colecciones particulares y rosaledas. Precisamente, en la Rosaleda “Pere Dot” del Jardín Botánico de Torretes (Ibi) mantenemos en cultivo dos de las variedades botánicas reconocidas y muchos de los cultivares e híbridos de este rosal, que hemos adquirido de colecciones extranjeras. El hallazgo de este material asilvestrado probablemente procedente de antiguos cultivos en la zona, tiene gran valor etnobotánico y puede tener valor genético. Aunque en su morfología no se han encontrado diferencias relevantes, se ha procedido a su multiplicación vegetativa y será próximamente incluido en la rosaleda del Jardín Botánico, junto con pliegos de herbario y semillas.

Des-re-territorialização e áreas protegidas na Amazônia: reflexões a partir do caso da Estação Ecológica da Terra do Meio-Pa-Brasil

A criação de espaços territoriais especialmente protegidos é uma estratégia utilizada pelo homem desde a antiguidade, objetivando a reserva de áreas com características naturais necessárias à manutenção ou à reprodução cultural de populações humanas específicas, regulando e limitando o acesso e a apropriação de certos recursos e/ou reservando-os para usos ou futuros. Os processos de criação dessas “áreas especialmente protegidas” foram contudo intensificados, no final do século XX, com a percepção da finitude dos recursos naturais, e acelerados pelo florescimento e a consolidação do capitalismo, agora “globalizado”. Quando tais processos, são orientados por interesses diversos de grupos sociais hegemônicos, são comuns não só a desestruturação do modo de vida dos usuários dos recursos naturais tradicionalmente relacionados aos “territórios especiais”, como também a expulsão de grupos não-hegemônicos neles já instalados, sempre que suas práticas culturais sejam consideradas como incompatíveis com os fins e os objetivos da área que se pretende proteger. Entre os tipos de área especialmente protegida estabelecidos pela legislação brasileira, encontram-se as Unidades de Conservação da Natureza (UC). Criadas por Lei com o objetivo de conservar a biodiversidade brasileira, as UC vem sendo palco de diversos conflitos ambientais envolvendo populações tradicionais em todos os biomas brasileiros, mas pode ser mais facilmente evidenciada na Amazônia, aonde a megabiodiversidade a proteger se sobrepõe a territórios ocupados por diversas etnias indígenas e outros povos tradicionais. Os conflitos são intensificados quando a categoria de manejo da UC criada restringe o acesso e altera os modos de apropriação e/ou dos usos tradicionais dos recursos naturais da área por parte dos residentes, inclusive impedindo a continuidade da permanência das populações no interior da UC, no caso o grupo das UC de Proteção Integral. À luz dos debates que vem sendo travados no campo da ecologia política, tais processos conflituosos estariam associados à desterritorialização dos grupos afetados pela criação da UC, nos quais o Estado brasileiro seria o responsável direto. Independentemente das diversas abordagens acadêmicas para o conceito de “território”, entende-se atualmente que a territorialização e a desterritorialização (com consequente reterritorialização) são processos interrelacionados e circularmente conectados, não podendo ser compreendidos separadamente. Assim, o objetivo do presente trabalho é contribuir para a compreensão desses processos de des-re-terrritorialização, avaliando como alguns mecanismos previstos na Lei do Sistema Nacional das Unidades de Conservação para o reassentamento das populações anteriormente residentes vem sendo aplicados, no sentido de promover processos de reterritorialização. As reflexões apresentadas se dão a partir do caso dos ribeirinhos e colonos residentes na Estação Ecológica da Terra do Meio, Pará, Brasil. A partir da avaliação, são propostas alternativas para minimizar a situação de injustiça ambiental na qual se encontram esses atores sociais específicos.

The Significance of the Disputed Territory in Bechuanaland 1887-1893

British Imperial policy in Southern Africa in the last three decades of the nineteenth century oscillated between two extremes. It began in the early 1870's with Lord Kimberley's attempt to effect confederation as a means of devolving Imperial responsibility and expenditure. It ended in 1899 with Britain's active intervention against the Boers. For most of the remaining years of those decades a middle course was adopted while the British Government struggled to reconcile its diverse political interests. Strategy, supremacy, economy, humanitarianism, and recognition of colonial aspirations were all at one time or another, in varying degrees, motivating forces behind Imperial policy. Many historians have pointed out how incompatible many of these ends were and how the attempt to pursue them all at once almost inevitably ended in at least one of them being sacrificed on the way. This study focusses on a relatively minor problem over a period of about seven years. It attempts to show how the British Government tried to reconcile, in this case, the predominant motives of economy and supremacy. The problem of the Disputed Territory now seems like a small fish in a big ocean because non the great hopes and fears that it raised were ever realized. But the anticlimactic nature of the outcome of events should not be allowed to conceal two important points: first, that the problem loomed large at the time in the eyes of the Imperial Government; and second, that in the case of its policy towards the Disputed Territory, the Government gained a greater degree of success in trying to reconcile seemingly incompatible ends than it did in many other instances.

O impacto do diagnóstico recente de cancro pediátrico nos rituais da família : a perspectiva das mães

Tese de mestrado, Psicologia (Secção de Psicologia Clínica e da Saúde, Núcleo de Psicologia Clínica Sistémica), Universidade de Lisboa, Faculdade de Psicologia, 2015

Reviewing the EU’s Crisis Management Procedures. IES Policy Brief Issue 2012/04/November 2012

Summary. The ongoing review of the EU’s Crisis Management Procedures warrants attention. What passes as an update of an arcane and technical document masks a profoundly political debate concerning what the Common Security and Defence Policy (CSDP) should be about. This policy brief summarises the main proposals and formulates a set of critical reflections. It calls for replacing the bureaucratic scheming with a more forthright political debate, and warns against sacrificing incompatible organisational cultures on the altar of the comprehensive approach. At a time when European security and prosperity trends are increasingly pointing downwards, the EEAS and the member states must look to the future and embrace, rather than resist, change.

Alone in virtue. The "New Turkish" ideology in Turkey's foreign policy. OSW Point of View Number 49, April 2015

Once the West’s ally, Turkey has been an ever more problematic partner in recent years. The Turkish leadership no longer views the alliance with the European Union and membership in NATO as based on shared values; rather, it is now merely a cherry-picked and shaky community of interests. Turkey is also increasingly alienated politically in the Middle East. In the aftermath of the Arab Spring and the regional developments which followed, Ankara has lost much of the influence it had built in region in previous years. Turkey’s growing international isolation is a consequence of the country ever more fully subordinating its foreign policy to the ideology of the ruling AKP. The world vision offered by that ideology does not square with the diagnoses of Turkey’s partners. The objectives it sets for Turkish foreign policy are incompatible with its partners’ expectations. Moreover, a foreign policy rooted in ideology is less flexible and less capable of adjusting to current international dynamics.

The EU and its Counter-Terrorism Policies after the Paris Attacks. Liberty and Security in Europe No. 84, 27 November 2015

This paper examines the EU’s counter-terrorism policies responding to the Paris attacks of 13 November 2015. It argues that these events call for a re-think of the current information-sharing and preventive-justice model guiding the EU’s counter-terrorism tools, along with security agencies such as Europol and Eurojust. Priority should be given to independently evaluating ‘what has worked’ and ‘what has not’ when it comes to police and criminal justice cooperation in the Union. Current EU counter-terrorism policies face two challenges: one is related to their efficiency and other concerns their legality. ‘More data’ without the necessary human resources, more effective cross-border operational cooperation and more trust between the law enforcement authorities of EU member states is not an efficient policy response. Large-scale surveillance and preventive justice techniques are also incompatible with the legal and judicial standards developed by the Court of Justice of the EU. The EU can bring further added value first, by boosting traditional policing and criminal justice cooperation to fight terrorism; second, by re-directing EU agencies’ competences towards more coordination and support in cross-border operational cooperation and joint investigations, subject to greater accountability checks (Europol and Eurojust +); and third, by improving the use of policy measures following a criminal justice-led cooperation model focused on improving cross-border joint investigations and the use of information that meets the quality standards of ‘evidence’ in criminal judicial proceedings. Any EU and national counter-terrorism policies must not undermine democratic rule of law, fundamental rights or the EU’s founding constitutional principles, such as the free movement of persons and the Schengen system. Otherwise, these policies will defeat their purpose by generating more insecurity, instability, mistrust and legal uncertainty for all.

Trabalho de equipa entre o jardim-de-Infância e a escola

Relatório de estágio apresentado à Escola Superior de Educação de Santarém para obtenção do grau de Mestre em Educação pré-escolar e ensino do 1º ciclo do ensino básico

A Unified Approach to Architecture Conformance Checking

Software erosion can be controlled by periodically checking for consistency between the de facto architecture and its theoretical counterpart. Studies show that this process is often not automated and that developers still rely heavily on manual reviews, despite the availability of a large number of tools. This is partially due to the high cost involved in setting up and maintaining tool-specific and incompatible test specifications that replicate otherwise documented invariants. To reduce this cost, our approach consists in unifying the functionality provided by existing tools under the umbrella of a common business-readable DSL. By using a declarative language, we are able to write tool-agnostic rules that are simple enough to be understood by non-technical stakeholders and, at the same time, can be interpreted as a rigorous specification for checking architecture conformance

Le développement du public jeune universitaire pour la musique classique à Montréal

Des recherches au Québec (Garon, 2009), en France (Donnat, 2011) et aux États-Unis (Kolb, 2001) confirment un état de fait général: le vieillissement du public de la musique classique. Si le public du répertoire est reconnu pour posséder un haut niveau d’études, pourquoi les étudiants universitaires de nos jours ne sont-ils pas plus présents dans les salles de concert ? Cette étude explore cette problématique d’abord par une recherche historique et par des entrevues auprès de certains des organismes de musique classique à Montréal, et ce afin de comprendre leurs stratégies de développement des publics concernés de 2004 à 2014. Ensuite, par un sondage auprès de 555 étudiants universitaires de la ville, pour faire un portrait de leur relation avec la musique à l’heure actuelle. Notre analyse, appuyée par une bibliographie en sociomusicologie et en sociologie des pratiques culturelles, confirme des tendances comme celle de l’«omnivorisme culturel» et l’éclectisme musical des jeunes universitaires. Elle nous montre aussi une réception positive des œuvres classiques, quoiqu’incompatible avec les critères esthétiques des genres musicaux favoris. À partir de ce paradoxe, nous étudions la force des motivations extramusicales qui les amènent aux concerts, leurs formats préférés, l’impact de l’éducation musicale, l’influence des parents, de l’internet, des nouvelles technologies. Finalement, nous constatons le nombre peu élevé d’initiatives des organismes musicaux dans le milieu universitaire à Montréal qui, pourtant, se montre un bassin au grand potentiel pour le renouvellement des publics de la musique classique.

Geochemistry of basalts from ODP Leg 49, North Atlantic Ocean

The geochemistry of basalts recovered from seven sites in the North Atlantic is described with particular reference to minor elements. Three sites (407, 408, and 409) along the same mantle flow line, transverse to the Reykjanes Ridge at about 63°N, provide information on the composition of basalts erupted over a 34-m.y. interval between 2.3 and 36 m.y. ago. At Site 410, at 45°N, penetration into 10 m.y.-old crust west of the ridge axis permits comparisons with young basalts dredged from the median valley at 45°N. Three sites in the FAMOUS area at about 36°N provided material from very young (1 m.y.) basaltic crust (Site 411), and material to test the geochemical coherence of basalts of different ages (1.5 and 3.5 m.y.) on either side of a fracture zone (Sites 412 and 413). These sites complement earlier data from dredged and drilled sites (Leg 37) in the FAMOUS area. At Site 407, four geochemically distinct basalt units occur, with different normative and rare-earth element (REE) characteristics, and there is a clear correlation with magnetic stratigraphy. Yet there is a remarkable consistency in incompatible element ratios between these units, indicating derivation from an essentially similar mantle source. The basalts from the younger sites, 408 and 409, show a similar range of normative and REE variation, but incompatible element ratios are identical to those at Site 407, indicating that basalts at all three sites were produced from a mantle source which was geochemically relatively uniform. Rare-earth differences between the basalts can be interpreted in terms of variations in the degree and depth of partial melting causing HREE (+Y) retention in the source, although there may be some inter-site differences with respect to REE. A similar picture is presented at 45°N. Apparently a range of tholeiitic, transitional, and alkalic basalts were being erupted 10 m.y. ago, which have almost identical geochemical characteristics to those recently erupted in the median valley at 45°N. Incompatible element ratios are markedly different from those recorded at the Reykjanes Ridge. Basalts recovered from the FAMOUS sites are geochemically similar to previous samples recovered from the FAMOUS area, and their incompatible element ratios are similar, but not identical, to those at 45°N. However, total trace element levels are consistently lower than in 45°N basalts, which might imply smaller degrees of partial melting and/or greater depths of magma generation at 45°N, or higher trace element levels in the mantle source at 45°N. Few of the basalts recovered on Leg 49 have the geochemical characteristics of typical "MORB" (e.g., Nazca Plate, Leg 34). The data strongly support models invoking geochemical inhomogeneity in the source regions of basalts produced at the Mid-Atlantic Ridge. However, the data also introduce an additional time factor into such models and demonstrate the uniformity of the mantle source at a particular ridge sector (over periods in excess of 30 m.y.), while emphasizing the marked differences along the ridge. Mixing models invoking "depleted" and "enriched" mantle sources would seem to be inadequate to account for the observed variations.

Geochemistry of ODP Hole 111-504B basalts (Table 2)

Fifty samples of basalt recovered during ODP Leg 111 from the dikes (Layer 2C) of Hole 504B (1350.0-1562.3 m below seafloor) were analyzed by X-ray-fluorescence techniques. All of the samples are highly depleted in magmaphile elements relative to other mid-ocean ridge basalts, with TiO2 = 0.75-1.24 wt%, Na2O = 1.59-2.22 wt%, Zr = 38-64 ppm, Nb = 0.3-1.5 ppm, and Y = 20-30 ppm (for samples containing 0%-2% phenocrysts), but have ratios of highly incompatible elements similar to normal Type I mid-ocean ridge basalts (e.g., Zr/Nb > 30). Abundances of compatible elements are similar to those of typical mid-ocean ridge basalts, with MgO = 7.2-9.2 wt%, Fe2O3* = 9.3-12.5 wt%, Ni = 55-164 ppm, and Cr = 26-388 ppm. Approximately 2% of the samples recovered from the top part of Hole 504B are similar to normal Type I or Type II ocean floor basalts. However, all of the analyzed Leg 111 samples from Hole 504B are depleted basalts. Aphyric dike rocks from Leg 111 are virtually identical to the depleted aphyric samples recovered from the pillow lavas and dikes in the upper 1075 m of Hole 504B during DSDP Legs 69, 70, and 83, with the exception of elements readily altered by seawater (Sr, Rb, and K). These elements reach a maximum in both abundance and variability in the pillow lavas of the upper 571.5 m of Hole 504B and decline to more constant values in the dike system sampled on Legs 83 and 111, apparently as a result of a decrease in porosity and increase in alteration temperatures relative to the pillow lavas. Based on compositional similarities to the vast majority of the pillows and flows, the dikes sampled on Leg 111 appear to be the feeder system for the pillow lavas in the upper part of Hole 504B. The incompatible-element-depleted compositions of the Costa Rica Rift Zone basalts are consistent with multistage melting of a normal mid-ocean ridge source.

Paleomagnetic and age determinations on rocks from Nares Strait

The Nares Strait controversy concerns the debate about whether or not a major sinistral transcurrent fault (the Wegener Fault) separates northern Greenland and Canada. To date no firm evidence has been found for the proposed 200 km sinistral offset, and to the contrary, geological correlations, mainly involving Paleozoic rocks across the Nares Strait, suggest that total left-lateral motion is no more than 70 km. The E-W trending Thule (Greenland) and Devon Island (Canada) dyke swarms lie on opposite sides of Baffin Bay and are offset sinistrally about 200 km, suggesting that if their correlation is established a convincing case for the Wegener Fault can be made. Paleomagnetic, geochemical and petrographic data allow, but do not yet establish, the correlation. Paleomagnetic results for Canadian sites (VGP = 6.9°N, 181.8 °E, A95 = 12.7°, N = 5) and Greenland sites (VGP = 11.5 °N, 178.3 °E, A95 = 13.8°, N = 4) are not significantly different at the 95 % confidence level. These levels are too large to resolve whether or not the Thule and Devon Island swarms have been offset. Geochemical data reveal a distinct and identical pattern in incompatible elements, while petrographically, the dykes are indistinguishable. U-Pb geochronological results for a Canadian dyke (720.2 ±2.0 Ma) and a Thule dyke (720.4 ±2.7 Ma) are identical within error and clearly identify the two sets of dykes as being parts of the same magmatic episode.