Platonic qua predication

Predication 1 Predication

Predication

Platonic Surfaces

If SO is a Riemann surface with a complete metric of finite area and constant curvature −1, let SC denote the conformal compactification of SO. We show that, under the assumption that the cusps of SO are large, there is a close relationship between the hyperbolic metrics on SO and SC . We use this relationship to show that lim infk→∞ λ1(Pk) ≥ 5/36, where the Platonic surface Pk is the conformal...

Platonic Dynamics

We develop a rigorous theory of observation for dynamical systems in Hilbert spaces. This work generalizes the results of Ott and Yorke [8] for dynamical systems in Rn.

Plural Predication

My thesis consists of three self-contained but interconnected papers. In the first one, 'Word and Objects', I assume that it is possible to quantify over absolutely everything, and show that certain English sentences containing collective predicates resist paraphrase in first-order languages and even in first-order languages enriched with plural quantifiers. To capture such sentences I develop ...