Project description DEENESFRITPL Filling gaps in the analogies between mathematics and metaphysics A priori knowledge is essentially the opposite of hindsight - it is knowing something without the need for experience. Philosophically, it is related to the idea of universal truths and metaphysical realism, the philosophy that the world is as it is independently of how humans perceive it. These concepts also play into discussions of a priori domains including ethics and religion. Analogies with mathematics, yet another a priori domain, are increasingly used to explain, advance or corroborate various views. The EU-funded MathematicsAnalogies project will draw on expertise in mathematical philosophy to fill important gaps in current debates. Show the project objective Hide the project objective Objective This project investigates how mathematics analogies impact metaphysical realism-antirealism. The overarching goal is to develop a systematic account of the potentials and limits of using mathematics as a model for other a priori domains, thus responding to the rapidly increasing literature exploiting structural parallels between mathematics and other a priori domains. In current ontological, semantic, and epistemic debates, mathematics frequently functions as a model for other a priori domains. Metaethicists in particular have started to use local structural parallels between mathematics and morality in order to corroborate particular metaethical views, but mathematics has also been argued to share relevant features with the domains of logic, modality, and religion. The 'mathematics analogies' employed in those arguments share a common form: a local analogy between mathematics and another domain is identified, based on which a global conclusion is drawn about one or both of the domains. What is completely missing in these debates, however, is a discussion of (a) the plausibility of the analogies in light of their mathematical background assumptions, (b) an adequate methodology for analogical reasoning about a priori domains, and (c) the prospects of developing a unified framework for all a priori domains. This is the gap this project is going to fill. Conducting this project as a Marie Sklodowska Curie Fellow at the best European institution for mathematical philosophy, the MCMP in Munich, will establish me firmly as an independent scholar in my field and thus, help me reach my goal of attaining a permanent academic position. Fields of science natural sciencesmathematics Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Topic(s) MSCA-IF-2018 - Individual Fellowships Call for proposal H2020-MSCA-IF-2018 See other projects for this call Funding Scheme MSCA-IF-EF-ST - Standard EF Coordinator LUDWIG-MAXIMILIANS-UNIVERSITAET MUENCHEN Net EU contribution € 174 806,40 Address Geschwister scholl platz 1 80539 Muenchen Germany See on map Region Bayern Oberbayern München, Kreisfreie Stadt Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00
