Recent literature on emergence in physics and on foundational issues in statistical mechanics has stressed the importance or lack thereof of the thermodynamic limit. In this workshop we will consider various case studies portraying either emergent behaviour or other important issues in statistical mechanics and assess the indispensable vs. dispensable nature of of the thermodynamic limit (or other similar limits such as the continuum limit). Our goal is is make some headway in identifying the role that such limits may or may not play in understanding emergence, reversibility, etc.