Project description
The constructional approach in the formal sciences
The formal sciences – the study of formal systems like those under the branches of logic and mathematics – are based on logical constructions. The constructional approach, found in set theory, can also be applied in four formal sciences: philosophy, mathematics, formal ontology and formal semantics. In this context, the EU-funded C-FORS project will develop new groundbreaking applications of a constructional approach. This pioneering interdisciplinary research will overcome the limitations of current approaches. This will be the largest concerted effort to date to develop a foundation for the study of intensional entities, e.g. propositions and properties, where a variety of paradoxes still arise, with no solution – nearly a century after set theory received its proper foundation.
Objective
The notion of construction figures centrally in mathematics and other formal sciences. An idealized, infinitary constructional approach is successfully applied to set theory, which provides the foundation for contemporary mathematics. C-FORS aims to develop new, similarly groundbreaking applications of the constructional approach. This will be the largest concerted effort to date to develop a foundation for the study of intensional entities, e.g. propositions and properties, where a variety of paradoxes still arise, with no agreed-upon solution—nearly a century after set theory received its proper foundation.
However, infinitary constructions are poorly understood, and there is no known way to apply the constructional approach to intensional entities. C-FORS aims to overcome these limitations by developing a critical but liberal conception of construction inspired by my increasingly popular potentialist metaphysics and philosophy of mathematics, and by using two theoretical tools developed by me, inspired by constructive mathematics, but only recently generalized so as to overcome various limitations and thus permit novel applications.
C-FORS makes a range of groundbreaking applications of these tools, thus achieving a lasting impact on several disciplines. In philosophy, I provide radical alternatives to the currently fashionable use of typed languages and exotic non-classical logics. In the foundations of mathematics, I develop a pioneering constructional approach that retains the strength of set theory, while incorporating insights from the constructive tradition. I launch a rigorous approach to constructed entities in formal ontology. In formal semantics, I develop novel theories of propositions and properties, and a new logical foundation for the study of nominalization and group formation. Overall, C-FORS offers pioneering interdisciplinary research where philosophy and logic yield—and are themselves constrained by—novel applications to the formal sciences.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences computer and information sciences knowledge engineering ontology
- humanities philosophy, ethics and religion philosophy metaphysics
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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.1.1 - European Research Council (ERC)
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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.
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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-ERC - HORIZON ERC Grants
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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-2021-ADG
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0313 Oslo
Norway
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