4 resultados para Philosophy of set theory
em Duke University
Resumo:
This dissertation presents the first theoretical model for understanding narration and point of view in opera, examining repertoire from Richard Wagner to Benjamin Britten. Prior music scholarship on musical narratives and narrativity has drawn primarily on continental literary theory and philosophy of the 1960s to the middle of the 1980s. This study, by contrast, engages with current debates in the analytic branch of aesthetic philosophy. One reason why the concept of point of view has not been more extensively explored in opera studies is the widespread belief that operas are not narratives. This study questions key premises on which this assumption rests. In so doing, it presents a new definition of narrative. Arguably, a narrative is an utterance intended to communicate a story, where "story" is understood to involve the representation of a particular agent or agents exercising their agency. This study explores the role of narrators in opera, introducing the first taxonomy of explicit fictional operatic narrators. Through a close analysis of Britten and Myfanwy Piper's Owen Wingrave, it offers an explanation of music's power to orient spectators to the points of view of opera characters by providing audiences with access to characters' perceptual experiences and cognitive, affective, and psychological states. My analysis also helps account for how our subjective access to fictional characters may engender sympathy for them. The second half of the dissertation focuses on opera in performance. Current thinking in music scholarship predominantly holds that fidelity is an outmoded concern. I argue that performing a work-for-performance is a matter of intentionally modelling one's performance on the work-for-performance's features and achieving a moderate degree of fidelity or matching between the two. Finally, this study investigates how the creative decisions of the performers and director impact the point of view from which an opera is told.
Resumo:
The Laws is generally regarded as Plato’s attempt to engage with the practical realities of political life, as opposed to the more idealistic, or utopian, vision of the Republic. Yet modern scholars have often felt disquieted at the central role of religion in the Laws’ second-best city and regime. There are essentially the two dominant interpretations on offer today: either religion supports a repressive theocracy, which controls every aspect of the citizens’ lives to such an extent that even philosophy itself is discouraged, or religion is an example of the kind of noble lie, which the philosopher must deceive the citizens into believing—viz., that a god, not a man, is the author of the regime’s laws. I argue that neither of these interpretations do justice to the dialogue’s intricately dramatic structure, and therefore to Plato’s treatment of civil religion. What I propose is a third position in which Plato both takes seriously the social and political utility of religion, and views theology as a legitimate, and even necessary, subject of philosophical inquiry without going so far as to advocate theocracy as the second best form of regime.
I conclude that a proper focus on the dialogue form, combined with a careful historical analysis of Plato’s use of social and political institutions, reveals an innovative yet traditional form of civil religion, purified of the harmful influence of the poets, based on the authority of the oracle at Delphi, and grounded on a philosophical conception of god as the eternal source of order, wisdom, and all that is good. Through a union of traditional Delphic theology and Platonic natural theology, Plato gives the city of the Laws a common cult acceptable to philosopher and non-philosopher alike, and thus, not only bridges the gap between religion and philosophy, but also creates a sense of community, political identity, and social harmony—the prerequisites for political order and stability. The political theology of the Laws, therefore, provides a rational defense of the rule of law (νόμος) re-conceived as the application of divine Reason (νοῦς) to human affairs.
Resumo:
We present a theory of hypoellipticity and unique ergodicity for semilinear parabolic stochastic PDEs with "polynomial" nonlinearities and additive noise, considered as abstract evolution equations in some Hilbert space. It is shown that if Hörmander's bracket condition holds at every point of this Hilbert space, then a lower bound on the Malliavin covariance operatorμt can be obtained. Informally, this bound can be read as "Fix any finite-dimensional projection on a subspace of sufficiently regular functions. Then the eigenfunctions of μt with small eigenvalues have only a very small component in the image of Π." We also show how to use a priori bounds on the solutions to the equation to obtain good control on the dependency of the bounds on the Malliavin matrix on the initial condition. These bounds are sufficient in many cases to obtain the asymptotic strong Feller property introduced in [HM06]. One of the main novel technical tools is an almost sure bound from below on the size of "Wiener polynomials," where the coefficients are possibly non-adapted stochastic processes satisfying a Lips chitz condition. By exploiting the polynomial structure of the equations, this result can be used to replace Norris' lemma, which is unavailable in the present context. We conclude by showing that the two-dimensional stochastic Navier-Stokes equations and a large class of reaction-diffusion equations fit the framework of our theory.