ABSTRACT Historical structuralist views have been ontological. They either deny that there are any mathematical objects or they maintain that mathematical objects are structures or positions in them. Non-ontological structuralism offers no account of the nature of mathematical objects. My own structuralism has evolved from an early sui generis version to a non-ontological version that embraces Quine’s doctrine of ontological relativity. In this paper I further develop and explain this view.

The article reviews Italian semiotician and philosopher Umberto Eco’s vision of semiotics as a discipline, the aim of which is to study the ‘whole of culture’. It focuses especially on Eco’s trajectory out of structuralism and on the development of a cognitive semantics based on strong pragmatist principles, that inform his notion of interpretability as the key process of semiosis and on the encyclopedia as the format more apt to describe the cultural space. After a consideration of the interface between (...) the cognitive, the pragmatic and the cultural dimensions of semiosis, the article highlights a few open problems in contemporary, culturally-oriented sociological theory that could benefit from a deeper engagement with these concepts. (shrink)