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Paradoxicality and Semantic Notions: Philosophical and Axiomatic Foundations.

Project description

Establishing foundations for unified theories of semantic notions and paradoxicality

Semantic concepts such as truth, validity and paradoxicality are core elements of both philosophical and logical inquiries. Approaches that analyse semantic concepts individually, rather than comprehensively, have proven inadequate. However, establishing unified approaches that simultaneously describe diverse semantic notions is a major challenge, which is further complicated by concepts that defy formal treatment, such as paradoxicality. Supported by the Marie Skłodowska-Curie Actions programme, the AXIOMS project aims to tackle this challenge by establishing formal and philosophical foundations for unified theories of semantic notions and paradoxicality. Aspiring to develop axiomatic systems modelling their behaviour, it will identify which formal principles for paradoxicality are compatible with classical or nonclassical rules of reasoning and analyse how paradoxicality interrelates with other fundamental concepts, such as truth.

Objective

Semantic notions such as truth, validity, and paradoxicality are central to both philosophical and logical inquiries, shaping our understanding of language, meaning, and rationality. An approach studying semantic concepts individually, rather than globally, has proven insufficient. Developing unified systems describing multiple semantic notions simultaneously is a key and outstanding challenge in contemporary philosophical logic. This challenge is made particularly complex by concepts which are reluctant to formal treatment, like 'paradoxicality'. At present, it is unknown whether formal theories of paradoxicality can even be developed.

AXIOMS aims to address this challenge by providing formal and philosophical foundations for unified theories of semantic notions and paradoxicality. Specifically, the project seeks to pioneer the development of axiomatic systems modeling their behaviour. It will determine which formal principles for paradoxicality are consistent with various rules of reasoning, and it will investigate how paradoxicality interacts with other key notions, such as truth. Moreover, AXIOMS will explore the potential duality between paradoxicality and 'determinateness', a concept currently at the forefront of logical and philosophical research. This part of the project will be carried out under the supervision of Prof. Volker Halbach during a secondment at the University of Oxford.

The impact of AXIOMS extends beyond its immediate scope. It promises to (i) influence ongoing philosophical debates on topics such as classical recapture and (ii) serve as a critical step toward constructing formal and artificial systems capable of reasoning globally with diverse semantic information. For the researcher, the project offers an opportunity to deepen cross-disciplinary expertise, expand his publication record, and acquire a wide range of transferable skills, significantly enhancing his prospects for securing an ERC Starting Grant or a tenure-track position.

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships

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Call for proposal

(opens in new window) HORIZON-MSCA-2024-PF-01

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Coordinator

UNIVERSITEIT VAN AMSTERDAM
Net EU contribution
€ 217 076,16
Total cost
No data

Partners (1)