On definitions of "mathematician"

TL;DR

This paper examines the varying definitions of "mathematician" to understand their impact on inclusion and exclusion within the mathematics community, proposing a framework based on identity, function, and qualification.

Contribution

It introduces a comprehensive framework of definitions for "mathematician" and analyzes their implications for diversity and inclusion in the field.

Findings

Narrow definitions can exclude underrepresented groups.

Broad definitions may promote inclusivity but risk diluting disciplinary standards.

Interrogating definitions reveals systemic barriers and opportunities for inclusion.

Abstract

The definition of who is or what makes a ``mathematician" is an important and urgent issue to be addressed in the mathematics community. Too often, a narrower definition of who is considered a mathematician (and what is considered mathematics) is used to exclude people from the discipline -- both explicitly and implicitly. However, using a narrow definition of a mathematician allows us to examine and challenge systemic barriers that exist in certain spaces of the community. This paper explores and illuminates tensions between narrow and broad definitions and how they can be used to promote both inclusion and exclusion simultaneously. In this article, we present a framework of definitions based on identity, function, and qualification and exploring several different meanings of ``mathematician". By interrogating various definitions, we highlight their risks and opportunities, with an emphasis on implications for broadening and/or narrowing participation of underrepresented groups.