SELECTED AMERICAN VIOLIN WORKS AND THEIR EUROPEAN CONTEXT

For my dissertation, I did a study and performance of American violin works by Charles Ives, Aaron Copland, Leonard Bernstein, and John Corigliano, along with contemporaneous European works by Paul Hindemith, Bela Bartok, Igor Stravinsky, Sergei Prokofiev, and Francis Poulenc. The selected American violin works display the development of a distinctively American style and cover a significant formative period (1914-1963) of American classical music. I intend that the European works form a backdrop for setting in relief any distinctly American qualities possessed by the American works. This is because they cover a similar time period and have significant stylistic affinities and shared influences. My topic stems from a question, "What defines the American Sound?" I attempted to find the answer by looking at the time when American composers consciously searched for their identities, and declared their music to be distinctly American. I found that those distinctive qualities stemmed from three sources: folk music, jazz and hymns. Ives and Copland can be viewed as American in content for their inclusion of such elements, while Bernstein and Corigliano can also be considered as "ideologically American" for their adventurous and eclectic spirit. The simplicity derived from singing a hymn or crooning a popular song; the freedom inspired by jazz; the optimism of accepting all possibilities-these elements inform the common spirit that I found in the music of these four American composers. FIRST RECITAL Sonatafor Violin Solo Op.3112 (1924), Paul Hindemith (1895-1963) Suite Italiennefor Violin and Piano (1932), Igor Stravinsky (1882-1971) Sonatafor Violin and Piano (1963), John Corigliano (b.1938) SECOND RECITAL Second Sonatafor Violin and Piano (1914-17), Charles Ives (1874-1954) First Rhapsody for Violin and Piano (1928), Bela Bart6k (1881-1971) Violin Sonata No.1 infminor (1938-46), Sergei Prokofiev (1891-1953) THIRD RECITAL Nocturne for Violin and Piano (1926), Aaron Copland (1900-1990)Sonata for Violin and Piano, Op. 119 (1942-3, rev.1949), Francis Poulenc (1899-1963)Serenade (after Plato's "Symposium'') (1954) by Leonard Bernstein (1918-1990) The pianists were Sun Ha Yoon (Bart6k) and Grace Eunae Cho (all other repertoire).

Visual Insight in Geometry

According to a traditional rationalist proposal, it is possible to attain knowledge of certain necessary truths by means of insight—an epistemic mental act that combines the 'presentational' character of perception with the a priori status usually reserved for discursive reasoning. In this dissertation, I defend the insight proposal in relation to a specific subject matter: elementary Euclidean plane geometry, as set out in Book I of Euclid's Elements. In particular, I argue that visualizations and visual experiences of diagrams allow human subjects to grasp truths of geometry by means of visual insight. In the first two chapters, I provide an initial defense of the geometrical insight proposal, drawing on a novel interpretation of Plato's Meno to motivate the view and to reply to some objections. In the remaining three chapters, I provide an account of the psychological underpinnings of geometrical insight, a task that requires considering the psychology of visual imagery alongside the details of Euclid's geometrical system. One important challenge is to explain how basic features of human visual representations can serve to ground our intuitive grasp of Euclid's postulates and other initial assumptions. A second challenge is to explain how we are able to grasp general theorems by considering diagrams that depict only special cases. I argue that both of these challenges can be met by an account that regards geometrical insight as based in visual experiences involving the combined deployment of two varieties of 'dynamic' visual imagery: one that allows the subject to visually rehearse spatial transformations of a figure's parts, and another that allows the subject to entertain alternative ways of structurally integrating the figure as a whole. It is the interplay between these two forms of dynamic imagery that enables a visual experience of a diagram, suitably animated in visual imagination, to justify belief in the propositions of Euclid’s geometry. The upshot is a novel dynamic imagery account that explains how intuitive knowledge of elementary Euclidean plane geometry can be understood as grounded in visual insight.