Question

One of the properties of identity is that everything is identical to itself. But, does everything mean literally everything, or merely every thing that exists? For example, I don't think 1/0 = 1/0, because 1/0 is undefined, so it can't equal anything, not even itself. But what have philosophers written about this issue?

Answer 1

Identity is a concept explored by philosophers throughout history. It applies to things that exist and remain the same as themselves. Parmenides and modern philosophers have discussed identity in relation to existence and change, providing insight into its nature and limitations.

Step-by-step explanation:

Identity is a concept that has been explored by philosophers throughout history. When we say that everything is identical to itself, it means that an object or entity remains the same as itself and does not change in its fundamental nature. This concept applies to things that exist, rather than non-existent or undefined entities. For example, when we say that 1/0 is undefined, it means that it does not have a value and cannot be compared to anything, including itself.

Philosophers have written extensively about the nature of identity and its relationship to existence and change. Parmenides, an ancient Greek philosopher, argued that reality is changeless and that what is real cannot change. Modern philosophers have explored the concept of identity through discussions on persistence and how objects retain their identity over time. These philosophical discussions provide a deeper understanding of the concept of identity and its limitations.