TY - JOUR AU - Bergstra, Jan Aldert PY - 2019/06/25 Y2 - 2024/03/28 TI - Division by Zero: a Survey of Options JF - Transmathematica JA - Transmath VL - 0 IS - 0 SE - Primary Article DO - 10.36285/tm.v0i0.17 UR - http://transmathematica.org/index.php/journal/article/view/17 SP - AB - <p>The idea that, as opposed to the conventional viewpoint, division by zero may produce a meaningful result, is long standing and has attracted interest from many sides. We provide a survey of some options for the defining&nbsp;an outcome for the application of division in case the second argument&nbsp;equals zero. The survey is limited by a combination of simplifying assumptions which are grouped together in the idea of a premeadow, which&nbsp;generalises the notion of a transfield.</p> ER -