No, because if man doesn't actually change, but is merely a continuous replacement of entities, then he doesn't change. However, if he does not change, he could not be destroyed, for destruction is change, and, as man is continually replaced, he is, in fact, mutable. If we follow this line of reasoning, we will enter into circular reasoning. Therefore, the idea that human identity is not fixed must be false. Regarding fire and the soul, two arguments can be made. The first states that it is invalid to use the example of inanimate objects to talk about human change. Now, man possesses the principle of intelligibility that no object has; we have self-awareness. Therefore, this example is invalid. The second argument states that, in reality, fire and soul also possess a "soul" that explains their continuity. As Aristotle said, the soul is the form of the body, that is, The very pattern of continuity is what we call the soul.
In the second paragraph, you yourself agree with me: the person's memories continue. If they are fixed, they cannot be material, because, as already demonstrated, what is material cannot not change; therefore, you yourself admit the existence of the soul here.
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