Project description
A matter of semantics: new meaning for quantum mechanics and set theory
Semantics, the relationship between words and their meaning, applies to both natural and programming languages. Tarski’s truth definition postulating the criteria of a ‘true’ sentence is fundamental to both as well. Development of semantic concepts based on this definition can be enriched using so-called team semantics, in simple language grouping assignments of variables rather than treating individual assignments. In this context, the semantic concepts of dependence and independence arise. Such teams appear naturally in various fields including the sciences and humanities. The EU-funded TEAMDEP project is extending team semantics and dependence logic with applications in quantum mechanics and set theory.
Objective
"In the traditional so-called Tarski’s Truth Definition the semantics of first order logic is defined with respect to an assignment of values to the free variables. A richer family of semantic concepts can be modelled if semantics is defined with respect to a set (a ""team"") of such assignments. This is what is called team semantics, a term coined by the PI in his 2007 monograph, and used ever since to describe this highly non-trivial modification of Tarskian semantics. Team semantics was introduced around the same time in inquisitive logic under the name state semantics. Examples of semantic concepts available in team semantics but not in traditional Tarski semantics are the concepts of dependence and independence. The PI introduced what he called dependence logic around these concepts. It appears that teams appear naturally in several areas of sciences and humanities which has made it possible to apply dependence logic and its variants to these areas. Now is the right moment to move from dependence logic to a broader explication of team semantics. This is what the TEAMDEP project proposes to do. In the TEAMDEP project we take team semantics to a new level by focusing on its hard axiomatizability questions and to its applications to the foundations of quantum mechanics and to the multiverse of set theory."
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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H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC)
MAIN PROGRAMME
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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
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.
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.
ERC-ADG - Advanced Grant
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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) ERC-2020-ADG
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
00014 HELSINGIN YLIOPISTO
Finland
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