When two distinct objects both satisfy the identity conditions for O, the relation 'same ship as' cannot be one-one, undermining the uniqueness presupposed by the claim that S must be O.

?Rate how convincing each reason is below to see the overall strength.

No one has weighed in yet. Be the first to share reasons for or against this statement.

Uniqueness(Violated if there are infinitely many forms of oneness, since that entails more than one form corresponds to the property of being one.): The principle that there is at most one form corresponding to any given property.
identity conditions(Metaphysics of mental states): The criteria that determine what makes an entity the same entity across time or contexts, i.e., what individuates it.
metaphysics(Hartshorne's naturalistic redefinition of metaphysics): On Hartshorne's view, the study not of realities beyond the physical, but of features of reality that are ubiquitous or that would exist in any possible world.
one-one relation: A bijective correspondence between the members of two classes, mapping each member of one class to exactly one member of the other and vice versa
the Ship of Theseus problem

Based on where you are in your exploration