Cancelled: Talk (Work in Progress): Idit Chikurel (MCMP)
Location: Ludwigstr. 31, ground floor, Room 021.
16.05.2024 at 12:00
Title:
Ampliative Analysis, Grounds and Consequences
Abstract:
The project suggests that ampliative analysis can be better explained using the concepts of grounds and consequences. Although theories of grounds and consequences are well-known, their connection to ampliative analysis has not yet been studied. Based on two historical cases, Salomon Maimon's theory of thinking (1753-1800) and Bernard Bolzano's (1781-1848) theory of science, I argue that ampliative analytic propositions must meet two requirements: They must have consequences and provide the grounds for new propositions. I discuss these conceptions of analytic propositions which are informative in light of ampliative analytic methods of mathematical practice