'In what way are their perspectives different?'
Two structurally and phenomenally identical minds that
exist in simultaneity will bear the
same edifices and beliefs, but will necessarily be
identified by the distinctiveness of their waking states under certain
rarefied events.
The most
immediate results of this dichotomy can be studied under mutually exclusive constraints.
For instance, account for the propositions below:
1) Two minds, A and B, are observed in the same manifest domains and are equivalent, meaning that under naturalistic influence (sans intervention), they will act identically when confronted with a stimulus.
2) Both Minds A and B are intimated with a
Nash Equilibrium with respect to one another.
3) You, a hitherto spectator, are now designated the liberty of electing either mind to occupy the perspective of, and participate in the
Nash Equilibrium with finite resources and time. Abstaining is not an eventuality that can be indulged.
In the event that either mind shared the
same perspective, then there must necessarily be
no difference between selecting either Mind A or Mind B. This is precisely what one observes
prior to the game commencing.
However, consider the same circumstances above, but wherein you are not asked to occupy either perspective instantly:
A) Mind A stimulates the domain of all utility by entertaining a
mixed strategy.
B) You are now asked to partake in either perspective.
In the latter example, the two perspectives
share different utility functions upon the activation of a choice, and are therefore
distinct. Despite being both biologically and phenomenally interchangeable, imparting judgments with one mind is
not tantamount to doing so with another.
Naturally, this sequence of reasoning is only a mathematical distillation. For all practical purposes, it may be repurposed to justify the distinctiveness of any two abstract self-aware entities.