Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/34255
Title: What Is Mathematical Rigor?
Authors: Burgess, John P.
De Toffoli, Silvia
Keywords: RigorProofMathematical PracticeRigoreDimostrazionePratica Matematica
Issue Date: 2022
Publisher: EUT Edizioni Università di Trieste
Source: John P. Burgess e Silvia De Toffoli, "What Is Mathematical Rigor?", in "APhEx 25", 2022, pp. 17
Journal: APhEx 
Abstract: 
Rigorous proof is supposed to guarantee that the premises invoked imply the conclusion reached, and the problem of rigor may be described as that of bringing together the perspectives of formal logic and mathematical practice on how this is to be achieved. This problem has recently raised a lot of discussion among philosophers of mathematics. We survey some possible solutions and argue that failure to understand its terms properly has led to misunderstandings in the literature.

Una dimostrazione rigorosa dovrebbe garantire che le premesse che vengono invocate implichino la conclusione raggiunta, e il problema del rigore consiste nel conciliare la prospettiva della logica formale e quella della pratica matematica su come ciò avvenga. Questo problema ha recentemente sollevato molte discussioni tra i filosofi della matematica. Esamineremo qui alcune possibili soluzioni e mostreremo che la mancata chiarezza sui termini del problema ha portato a incomprensioni nella letteratura.
Type: Article
URI: http://hdl.handle.net/10077/34255
ISSN: 2036-9972
Appears in Collections:25 APhEx num 25, anno 2022

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