Let's say that you suspect that you are living inside the Matrix--that is, the reality into which you were born and in which you and everyone else lives is a simulation.
Would it be possible, using only the tools and observations you have available within that simulated reality and without any referent to anything outside the simulation, to demonstrate conclusively that you were living in a simulation? And by the same token, would it be possible to demonstrate, if it turned out that you were not living inside the Matrix, to demonstrate that you were not? If so, how?
Got me stumped. Ideas?