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thought experiment re neuronal firings for two contradictory propositions

I would like test materialism.

Take one set of neuronal firings X1 as pertaining to a proposition P1 that contradicts P2, to which neuronal firings X2 pertains.

Is it physically impossible for both X1 and X2 to fire "together" in the way in which they would for one who affirms any two propositions as simultaneously true?

If it is not physically impossible, then it is possible to affirm two contradictories as simultaneously true.

If it is physically impossible, AND if materialism is true, then wouldn't that affirming a contradiction be impossible because of of the impossibility of the physical process that is associated with that affirmation.

But perhaps it is impossible only in this world.  Perhaps there's a way to reconfigure neuron-like events so that, in another possible universe, another version of X1 and X2 could fire simultaneously.

If so, then P1*P2 is true in some possible worlds.

But if P1*P2 is not true in any possible worlds, then it seems that materialism is false.

(Must edit/kick around)

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