Incurvati Lab

University of Amsterdam

West-Nederland (NL3) · Netherlands

ERC-funded
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ERC Advanced Grant · 2024

New Foundations for Intensionality

Intensional notions such as those of property, content, proof, possibility and necessity are central to philosophy, logic, mathematics and linguistics. However, these notions are threatened by paradoxes reminiscent of those that plagued the foundations of mathematics at the beginning of the XX century. And while a consensus has emerged over which shape a foundation of mathematics should take, the intensional paradoxes are still awaiting solution. Indeed, the intensional paradoxes affect the major theories of content that in recent years have brought about what has been hailed as a hyperintensional revolution, with many applications in philosophy and linguistics. The GOOD INTENSIONS project…

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