Persons are not brains
The complete argument that persons are automata must include a missing third premise that "persons are brains". But this third premise is false, so the conclusion that persons are automata doesn't follow.
The complete argument is:

1) Neurons are automata.

2) Brains are collections of neurons.

3) Persons are brains.

4) Therefore, persons are automata.

But, the third premise is false.

Selmer Bringsjord, 1992.

Note: see also the "Can Computers be persons?" arguments on Map 1.

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Persons are not brains
No: computers can't be persons Â»No: computers can't be persons
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