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I'm not sure that is right. From the proposition 's runs' I can validly infer that s exists. This does not commit me to the view that running is fundamental to s's personhood.

Similarly, the claim that if s thinks then s exists does not entail that a further claim that thinking is central to s's personhood.

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> This does not commit me to the view that running is fundamental to s's personhood.

That is not Descartes conclusion or my conclusion.

To Descartes, the person as experienced in a priori thought has a special primacy over all other existing things. While "s" may be doubted due to its a posteriori nature, the self is fundamentally undoubtable in its existence, hence "I think therefore I am".

To Descartes, the existence of a priori thought is the building block of all logic and personhood.

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