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.
Project information
- Project title
- Ampliative Analysis, Grounds and Consequences
- Funded by
- Minerva Stiftung
- Project link
- -
- Project duration
- 2022 - 2024
- Funds awarded
- -
- Project team
- Dr. Idit Chikurel (principal investigator)
- Associated Chair
- Chair of Philosophy of Science