Summary
Philosophy strives for a better understanding of modal notions such as necessity, possibility, truth, knowledge. Modal logic, however, the formal tool privileged by philosophers to shape their theories about intensional notions, displays severe drawbacks: its use determines an incoherent treatment of different kinds of modalities and it is expressively weak as important general claims are not fully formalizable in it. In the project I develop an alternative approach to modal notions. Instead of treating them as operators applying to formulas, I will consider them as predicates applying to terms naming formulas. The overarching aim of the proposal is to provide philosophy with an expressive and coherent framework that could represent a valid alternative to modal logic. More precisely, I will develop three research objectives corresponding to three fundamental research gaps traceable in the current literature on modal predicates: the formulation of a natural account of the bearers of modal notions, a consistent and mathematically powerful treatment of the interaction of modal predicates, a predicate approach to de re modal ascriptions that will open the way for a new approach to modal metaphysics in the predicate setting. The project will develop a unified effort to bridge mathematical logic, philosophy of mathematics and metaphysics. It will result in the establishment of leading research profile setting the agenda for a network of researchers in the flourishing area of mathematical philosophy.
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More information & hyperlinks
| Web resources: | https://cordis.europa.eu/project/id/658285 |
| Start date: | 01-01-2016 |
| End date: | 31-12-2017 |
| Total budget - Public funding: | 159 460,80 Euro - 159 460,00 Euro |
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Original description
Philosophy strives for a better understanding of modal notions such as necessity, possibility, truth, knowledge. Modal logic, however, the formal tool privileged by philosophers to shape their theories about intensional notions, displays severe drawbacks: its use determines an incoherent treatment of different kinds of modalities and it is expressively weak as important general claims are not fully formalizable in it. In the project I develop an alternative approach to modal notions. Instead of treating them as operators applying to formulas, I will consider them as predicates applying to terms naming formulas. The overarching aim of the proposal is to provide philosophy with an expressive and coherent framework that could represent a valid alternative to modal logic. More precisely, I will develop three research objectives corresponding to three fundamental research gaps traceable in the current literature on modal predicates: the formulation of a natural account of the bearers of modal notions, a consistent and mathematically powerful treatment of the interaction of modal predicates, a predicate approach to de re modal ascriptions that will open the way for a new approach to modal metaphysics in the predicate setting. The project will develop a unified effort to bridge mathematical logic, philosophy of mathematics and metaphysics. It will result in the establishment of leading research profile setting the agenda for a network of researchers in the flourishing area of mathematical philosophy.Status
CLOSEDCall topic
MSCA-IF-2014-EFUpdate Date
28-04-2024
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