Final answer:
Philosophy's quantitative identity refers to an entity remaining numerically the same despite changes, a concept tied to the larger question of an entity's persistence over time.
Step-by-step explanation:
In philosophy, quantitative identity refers to the concept that an entity is numerically one and the same with itself over time, despite any qualitative changes it might undergo. This is tied to the philosophical question of persistence, explored in thought experiments like the Ship of Theseus. Philosophers such as Plato and Aristotle have contributed to our understanding of identity and substance, influencing how we contemplate the essential nature, or "whatness", of things. Moreover, philosophy encourages critical thinking and systematic presentation as it ponders various fundamental questions.
When discussing philosophy in this context, attention is also drawn to value theory. This branch allows individuals and societies to scrutinize their values, potentially affecting their definition of well-being or a just society. The interconnectedness of identity and values in philosophy demonstrates the field's relevance to personal and social aspects of life.