Introduction (to Dossier on Walter Benjamin and Education)

Although it is well known that Walter Benjamin played a leading role in the antebellum German Youth Movement, withdrawing from the presidency of the Berlin Independent Students Association and from other reformist activities only with the onset of World War I, scholars often do not ask whether this multifaceted student activism had any effect on his later thought and writing. This dossier proposes to investigate the early writings on youth and educational reform and their discernible afterlife in the better known historical-materialist phase of Benjamin’s career, including his writings on radio, film, children’s literature, and children’s theater, as well as his studies of Franz Kafka and Bertolt Brecht. The introduction provides brief summaries of the ten articles comprising the dossier and their relation to one another, and it addresses the question of the relevance of Benjamin’s ideas on education to contemporary debates concerning pedagogy

Pre-images of quadratic dynamical systems

For a quadratic endomorphism of the affine line defined over the rationals we consider the problem of bounding the number of rational points that eventually land at a given constant after iteration, called pre-images of the constant. In the article "Uniform Bounds on Pre-Images Under Quadratic Dynamical Systems," it was shown that the number of rational pre-images is bounded as one varies the morphism in a certain one-dimensional family. Explicit values of the constant for pre-images of zero and -1 defined over the rational numbers were addressed in subsequent articles. This article addresses an explicit bound for any algebraic image constant and provides insight into the geometry of the "pre-image surfaces."Comment: to appear in Involve; 16page