The discussion centers on the importance of completing essay sections in graduate school entrance exams, particularly for physics programs. Participants argue that skipping the essays to preserve stamina for quantitative sections is misguided. They emphasize that graduate schools expect candidates to demonstrate basic reading and writing abilities, and that the essays are not overly challenging. The consensus is that if a candidate struggles with the mental capacity to handle both essays and quantitative questions, they may not be suited for graduate school. Additionally, it's noted that physics majors should find the quantitative sections manageable, as the material is often familiar. Overall, the recommendation is to complete all sections of the exam, including essays, to present a well-rounded application.