Mathematical Proofs in Practice: Revisiting the reliability of published mathematical proofs
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| Natura: | Artículo científico |
| Lingua: | en |
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Universidad del País Vasco/Euskal Herriko Unibertsitatea
2014
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| _version_ | 1876482037445033984 |
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| author | Joachim Frans |
| author_facet | Joachim Frans |
| contents | Mathematical Proofs in Practice: Revisiting the reliability of published mathematical proofs Joachim Frans Laszlo Kosolosky Filosofía absolutism reliability fallibilism Mathematical proof publication process Mathematics seems to have a special status when compared to other areas of human knowledge. This special status is linked with the role of proof. Mathematicians often believe that this type of argumentation leaves no room for errors and unclarity. Philosophers of mathematics have differentiated between absolutist and fallibilist views on mathematical knowledge, and argued that these views are related to whether one looks at mathematics-in-the-making or finished mathematics. In this paper we take a closer look at mathematical practice, more precisely at the publication process in mathematics. We argue that the apparent view that mathematical literature, given the special status of mathematics, is highly reliable is too naive. We will discuss several problems in the publication process that threaten this view, and give several suggestions on how this could be countered. 2014 artículo científico 0495-4548 https://www.redalyc.org/articulo.oa?id=339732250002 en http://www.redalyc.org/revista.oa?id=3397 THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia application/pdf Universidad del País Vasco/Euskal Herriko Unibertsitatea THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia (España) Num.3 Vol.29 |
| format | Artículo científico |
| id | redalyc_339732250002 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Universidad del País Vasco/Euskal Herriko Unibertsitatea |
| spellingShingle | Mathematical Proofs in Practice: Revisiting the reliability of published mathematical proofs Joachim Frans Filosofía absolutism reliability fallibilism Mathematical proof publication process Mathematical Proofs in Practice: Revisiting the reliability of published mathematical proofs Joachim Frans Laszlo Kosolosky Filosofía absolutism reliability fallibilism Mathematical proof publication process Mathematics seems to have a special status when compared to other areas of human knowledge. This special status is linked with the role of proof. Mathematicians often believe that this type of argumentation leaves no room for errors and unclarity. Philosophers of mathematics have differentiated between absolutist and fallibilist views on mathematical knowledge, and argued that these views are related to whether one looks at mathematics-in-the-making or finished mathematics. In this paper we take a closer look at mathematical practice, more precisely at the publication process in mathematics. We argue that the apparent view that mathematical literature, given the special status of mathematics, is highly reliable is too naive. We will discuss several problems in the publication process that threaten this view, and give several suggestions on how this could be countered. 2014 artículo científico 0495-4548 https://www.redalyc.org/articulo.oa?id=339732250002 en http://www.redalyc.org/revista.oa?id=3397 THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia application/pdf Universidad del País Vasco/Euskal Herriko Unibertsitatea THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia (España) Num.3 Vol.29 |
| title | Mathematical Proofs in Practice: Revisiting the reliability of published mathematical proofs |
| topic | Filosofía absolutism reliability fallibilism Mathematical proof publication process |
| url | https://www.redalyc.org/articulo.oa?id=339732250002 |