Mathematics and the formal turn

Mathematics and the formal turn

Since the early twentieth century, it has been understood that mathematical definitions and proofs can be represented in formal systems with precise grammars and rules of use. Building on such foundations, computational proof assistants now make it possible to encode mathematical knowledge in digita...

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Veröffentlicht in:Bulletin (new series) of the American Mathematical Society 2024-04, Vol.61 (2), p.225-240
1. Verfasser: Avigad, Jeremy
Format: Artikel
Sprache:eng
Schlagworte:
Grammar
Grammars
Mathematics education
Mathematics teachers
Research article
Technological change
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Beschreibung
Zusammenfassung:Since the early twentieth century, it has been understood that mathematical definitions and proofs can be represented in formal 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.
ISSN:0273-0979
1088-9485
DOI:10.1090/bull/1832