Collection

Disagreement in Mathematics

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)