Temperature can be considered a property of matter, defined by its relationship to internal energy and entropy, even without being linked to specific states of matter like boiling or melting points. It serves as a measure of average kinetic energy per particle and can be viewed as a thermodynamic state function at equilibrium. While some argue that temperature itself is not a property, but rather a condition, it still plays a crucial role in understanding the behavior of substances in thermal contact. The concept of temperature also connects to wave properties of matter and is influenced by principles like the equipartition theorem and the Virial theorem. Overall, temperature is a fundamental aspect of thermodynamics that applies broadly, even in less defined states of matter.