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Mathematics and the formal turn
Published 31 Oct 2023 in math.HO and math.LO | (2311.00007v2)
Abstract: Since the early twentieth century, it has been understood that mathematical definitions and proofs can be represented in formal systems systems with precise grammars and rules of use. Building on such foundations, computational proof assistants now make it possible to encode mathematical knowledge in digital form. This article enumerates some of the ways that these and related technologies can help us do mathematics.
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