Projekter pr. år
Abstract
Mathematicians appear to have quite high standards for when they will rely on testimony. Many mathematicians require that a number of experts testify that they have checked the proof of a result p before they will rely on p in their own proofs without checking the proof of p. We examine why this is. We argue that for each expert who testifies that she has checked the proof of p and found no errors, the likelihood that the proof contains no substantial errors increases because different experts will validate the proof in different ways depending on their background knowledge and individual preferences. If this is correct, there is much to be gained for a mathematician from requiring that a number of experts have checked the proof of p before she will rely on p in her own proofs without checking the proof of p. In this way a mathematician can protect her own work and the work of others from errors. Our argument thus provides an explanation for mathematicians’ attitude towards relying on testimony.
Originalsprog  Engelsk 

Tidsskrift  Synthese 
Vol/bind  199 
Nummer  12 
Sider (fratil)  859870 
Antal sider  12 
ISSN  00397857 
DOI  
Status  Udgivet  dec. 2021 
Begivenhed  Virtue Epistemology of Mathematical Practice  Vrije Universiteit Brussel, Brussels, Belgien Varighed: 13 jul. 2018 → 14 jul. 2018 
Workshop
Workshop  Virtue Epistemology of Mathematical Practice 

Lokation  Vrije Universiteit Brussel 
Land/Område  Belgien 
By  Brussels 
Periode  13/07/2018 → 14/07/2018 
Fingeraftryk
Dyk ned i forskningsemnerne om 'The Role of Testimony in Mathematics'. Sammen danner de et unikt fingeraftryk.Projekter
 1 Afsluttet

The Epistemological Dimensions of Scientific Publication
Wray, K. B. (Deltager) & Andersen, L. E. (Deltager)
01/02/2018 → 01/01/2021
Projekter: Projekt › Forskning