# Ship Of Theseus

## The Paradox

> The ship wherein Theseus and the youth of Athens returned from C
> rete had thirty oars, and was preserved by the Athenians down ev
> en to the time of Demetrius Phalereus, for they took away the ol
> d planks as they decayed, putting in new and stronger timber in
> their places, in so much that this ship became a standing exampl
> e among the philosophers, for the logical question of things tha
> t grow; one side holding that the ship remained the same, and th
> e other contending that it was not the same.
>
> Plutarch, Theseus

So did the ship remain the same even if all the parts were entirel
y replaced?




## My Answer

It depends on what "the same" means.

Identical: Nope.
Isomorphic: Hell yes.

We have to explicitly set the category though.

So this means that you don't remain the same but your DNA remains
the same.


### Note

"A and B are identical" means that you can substitute A with B in
every proposition without altering the truth values (True/False),
and vice versa.

In other words, for any arbitrary P, if "A is P" is true (or false
) then "B is P" is also true (or false), and vice versa.