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.

Artificial Intelligence »Artificial Intelligence
Are thinking computers mathematically possible? [7] »Are thinking computers mathematically possible? [7]
Yes: Automata can think »Yes: Automata can think
Brains are automata, thus persons are too »Brains are automata, thus persons are too
Persons are not brains
No: computers can't be persons »No: computers can't be persons
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