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.
Projektdaten
- Titel des Projekts
- Ampliative Analysis, Grounds and Consequences
- Drittmittelgeber
- Minerva Stiftung
- Link zum Projekt
- -
- Projektdauer
- 2022 - 2024
- Höhe der Bewilligung
- -
- Projektteam
- Idit Chikurel (Projektleiterin)
- Beteiligte Lehrstühle
- Lehrstuhl für Wissenschaftstheorie