Project description
Defying the laws of classical reasoning
It is agreed that Classical Logic (the logic devised by Frege at the birth of modern mathematical logic) provides a sharp characterisation of our reasoning in abstract fields like mathematics. However, Classical Logic seems to be inadequate in relation to several phenomena such as vagueness, conditionals or paradoxes. Substructural logics – logics where some structural rule, like weakening, contraction or exchange, can fail – are alternatives to Classical Logic that have attracted a lot of attention by logicians in the last decade. The EU-funded PLEXUS project will study these logics with particular emphasis on "radically substructural logics" – non-transitive and non-reflexive logics. Specifically, PLEXUS will investigate the main philosophical challenges raised by radically substructural logics, their proof-theoretic and model theoretic characterisations and their logico-linguistic applications.
Objective
There is a large family of non-classical logics that fall under the heading of substructurality. Among the logics in the substructural family, the recent philosophical literature pays particular attention to what can be termed “radically substructural logics”: non-transitive and non-reflexive reflexive logics as well as variants and hybrids of these obtained by metainferential ascent. The overall goal of PLEXUS is to advance the knowledge of radical substructural logics and deepen our understanding of the broader phenomenon of substructurality, by coordinating the efforts of researchers across the globe, across generations, and across traditions. We see our project characterised by the following concepts: integration, cross-fertilization and knowledge sharing.
This general objective is articulated in three objectives:
1. Philosophical Foundations: investigate the main philosophical challenges raised by radically substructural logics.
2. Logic and applications: investigate proof-theoretic and model theoretic characterizations of radically substructural logics and their logico-linguistic applications.
3. The Metainferences Inventory and Metainferences Prover: develop a tool to measure naïve reasoners' preferences on metainferences and implement an automatic metainferences prover.
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
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Topic(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
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Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
HORIZON-TMA-MSCA-SE - HORIZON TMA MSCA Staff Exchanges
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Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2021-SE-01
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31080 PAMPLONA
Spain
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