Philosophy Now Forum

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Sameness is maintained through change for by change the original thing is maintained through adaptation.

Using basic binary code for example.

There is 1. There is 0.

Each value is maintained through a recursive string, a cycle.

The recursive string is a new identity by isomorphism, a "different' thing of the same nature.

Recursion is a cycle.
Isomorphism is progressive change, linear.

Both coexist as a spiral.

This feels like what you are saying can be explained more simply by the flow of time. As no change can occur without the flow of time, and for any kind of continuity there must be a temporal flow.