Linnebo Lab

University of Oslo

- · Norway

ERC-funded
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Research focus

ERC Advanced Grant · 2021

Construction in the Formal Sciences

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…

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