Zoom Talk: Giorgio Venturi (Campinas)
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Axioms and their creative role in mathematics
In this talk we will present a new approach to the study of creativity in mathematics based on a linguistic analysis of the creative component of mathematics language. We will present, as a case study, an analysis of axioms and postulates in terms of speech act theory. This will help us to identify assertive, directive, and declarative elements in axiomatic systems. The declarative component will then suggest a creative role for axioms in our mathematical theorizing.