Conveniência e plausibilidade da proposição de que justiça é harmonia n A República de Platão

This thesis endorses the interpretation that in Plato`s Republic the argument made by Thrasymachus in which justice is the convenience of the most powerful one is implicitly accepted by Socrates. Although Thrasymachus´ discussion does not show any similarity with the argument of Socrates, it proposes a sarcastic and ironic comment on political life. Socrates accepts this comment to develop a more refined notion of the category of the most powerful ones. While Thrasymachus assumes that the convenience of the most powerful ones includes the power to subordinate all and everything to their individual pleasures, Socrates admits that the most powerful ones are defined only by their characteristic of being able to hold power in perpetuity. In this context, the main theme of The Republic is that the harmony between the functional classes of the city is convenient for perpetual power. For preservation of harmony, the functional class of the most powerful considers the convenience of forsaking a possible monopoly on pleasure towards a redistribution that promotes harmony, which also makes it convenient for the other classes. Thus, we can explicitly say that the most powerful ones believe in a sense of justice as convenience for everyone, but implicitly believe only in the argument that justice is what is convenient for themselves. Since convenience is what promotes harmony between functional classes, it becomes convenient to Socrates to believe that the understanding justice that the most powerful ones have is not publicly disclosed. The notion that all the speculation of the dialogue between the characters cannot be true, but, at best, only plausible and convenient is also part of the central argument in The Republic. Socrates needs to modify the nature of the functional classes through a targeted program of sexual reproduction and a program of ideological indoctrination so that the proposal to promote harmony through the elements of the city, declaring that justice is in favor of the weakest becomes a more plausible and convenient speech. To make the new system more plausible, Socrates develops a metaphysics based on the mathematical notion of harmony, such metaphysics serving the official rhetoric of the political regime presented by Socrates

Propagação de danos em sistemas cooperativos: propriedades termodinâmicas

High-precision calculations of the correlation functions and order parameters were performed in order to investigate the critical properties of several two-dimensional ferro- magnetic systems: (i) the q-state Potts model; (ii) the Ashkin-Teller isotropic model; (iii) the spin-1 Ising model. We deduced exact relations connecting specific damages (the difference between two microscopic configurations of a model) and the above mentioned thermodynamic quanti- ties which permit its numerical calculation, by computer simulation and using any ergodic dynamics. The results obtained (critical temperature and exponents) reproduced all the known values, with an agreement up to several significant figures; of particular relevance were the estimates along the Baxter critical line (Ashkin-Teller model) where the exponents have a continuous variation. We also showed that this approach is less sensitive to the finite-size effects than the standard Monte-Carlo method. This analysis shows that the present approach produces equal or more accurate results, as compared to the usual Monte Carlo simulation, and can be useful to investigate these models in circumstances for which their behavior is not yet fully understood