Collection
Disagreement in Mathematics
- Submission status
- Closed
This special issue explores disagreements in mathematical practices. Disagreements in mathematics have been primarily explored in connection to the foundational debates. Other instances of disagreement in mathematical practices, such as about which definitions are most suitable to capture a mathematical concept, who deserves credit for mathematical results, which inferential moves are permissible, ethical concerns, or which research programmes to pursue, have received much less attention in the philosophical literature. For the special issue we envision contributions that study these various forms of disagreement. To this end we invite philosophers, mathematicians, logicians, historians, mathematics educators and others to contribute to the proposed special issue.
Suitable topics of submissions include but are not limited to:
permissible inferences in mathematics
the epistemic status of mathematical results
the suitability of definitions
the value of research programmes
credit allocation for mathematical results
ethical concerns connected to mathematical research
the organisation of institutional structures
how is disagreement overcome in mathematical practices
the foundations of mathematics
mathematical pluralism
logical anti-exceptionalism
Editors
-
Colin Jakob Rittberg
Colin Jakob Rittberg, I am a postdoctoral MSC Fellow at the VU Amsterdam. I am also a research associate at the Centre for Logic and Philosophy of Science at the VU Brussel. Before that I was a research assistant at the Mathematical Cognition Centre at Loughborough University. I am currently embedded with Catarina Dutilh Novaes’ ERC-consolidator project The Social Epistemology of Argumentation.
-
Deniz Sarikaya
I am Deniz Sarikaya I am Deniz Sarikaya a postdoctoral researcher within the FWO-project "The Epistemology of Big Data: Mathematics and the Critical Research Agenda on Data Practices" (PIs P. Allo and K. FranÒ«ois, both Vrije Universiteit Brussel) working among other things on the Philosophy of Mathematical Practices.
Articles (9 in this collection)
-
-
Should Type Theory Replace Set Theory as the Foundation of Mathematics?
Authors
- Thorsten Altenkirch
- Content type: Original Paper
- Open Access
- Published: 13 February 2023
- Article: 21
-
Deep Disagreement in Mathematics
Authors
- Andrew Aberdein
- Content type: Original Paper
- Published: 01 February 2023
- Article: 17
-
Rejection, Disagreement, Controversy and Acceptance in Mathematical Practice: Episodes in the Social Construction of Infinity
Authors
- Paul Ernest
- Content type: Original Paper
- Open Access
- Published: 31 January 2023
- Article: 15
-
Measuring the Agreement of Mathematical Peer Reviewers
Authors
- Benedikt Löwe
- Content type: Original Paper
- Open Access
- Published: 21 December 2022
- Pages: 1205 - 1219
-
Mathematical consensus: a research program
Authors
- Roy Wagner
- Content type: Original Paper
- Open Access
- Published: 23 August 2022
- Pages: 1185 - 1204
-
How Do You Apply Mathematics?
Authors
- Graham Priest
- Content type: Original Paper
- Published: 20 July 2022
- Pages: 1169 - 1184
-
On the Epistemological Relevance of Social Power and Justice in Mathematics
Authors
- Eugenie Hunsicker
- Colin Jakob Rittberg
- Content type: Original Paper
- Open Access
- Published: 16 July 2022
- Pages: 1147 - 1168
-
‘None Enters Here Unless He is a Geometer’: Simone Weil on the Immorality of Algebra
Authors
- Aviad Heifetz
- Content type: Original Paper
- Published: 13 July 2022
- Pages: 1129 - 1145