The discussion centers on the factors influencing the stiffness or softness of the supernova (SN) equation of state (EOS), particularly in relation to temperature, progenitor mass, compressibility, and symmetry energy. The participant is conducting PhD research on the EOS for infinite nuclear matter and neutron stars, observing softening in the neutron star EOS. They seek to understand whether this softening can predict changes in the core-collapse supernova (CCSN) EOS, despite differences in density and the inclusion of temperature in CCSN scenarios. The conversation highlights the complexity of linking neutron star EOS characteristics to those of supernovae. Understanding these relationships is crucial for advancing knowledge in astrophysics.