Abstract

Geometry has played an important role in philosophy since the time of Plato. Concepts such as space (and its properties), shape, size, geometrical figures, continuity, proximity and transformation are an essential part of philosophical considerations, and in particular, are an important part of ontology. Geometry at the turn of 19th and 20th centuries led to a more general study of these concepts. Since then topology has expanded rapidly, becoming an independent branch of mathematics. Geometrical structures have been used in philosophy since the beginning, in the twentieth century their place was partly replaced by topological structures. Topology as a branch of mathematics can serve philosophy as a method of thinking but also topological spaces may be used as material to create philosophical structures. The conference concentrates on the use of concepts and techniques of modern topology in philosophy (in particular in formal ontology and metaphysics).