La Profilée and the Ship of Theseus - Selective Transformation and the Emergence of Structural Time

The paradox of the Ship of Theseus addresses a classical problem: how identity can persist while components change. The complementary intuition that reality is fundamentally characterized by transformation appears to stand in tension with persistence. This paper approaches the problem structurally. If real transformation occurs and identity remains non-trivial, the transformation structure of the system cannot be fully symmetric. Transformation must therefore be selective. Selective transformability induces a reachability relation between states. This reachability structure generates a partial ordering of states. This ordering constitutes structural time. The Ship of Theseus thus illustrates not merely a paradox of identity but the minimal structural conditions under which persistence, transformation, and temporal order can coexist.