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Formal Frameworks for Modal Notions Conceived as Predicates

Objective

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.

Field of science

  • /humanities/philosophy, ethics and religion/philosophy/history of philosophy/contemporary philosophy
  • /humanities/philosophy, ethics and religion/philosophy/metaphysics

Call for proposal

H2020-MSCA-IF-2014
See other projects for this call

Funding Scheme

MSCA-IF-EF-ST - Standard EF

Coordinator

LUDWIG-MAXIMILIANS-UNIVERSITAET MUENCHEN
Address
Geschwister Scholl Platz 1
80539 Muenchen
Germany
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 159 460,80