You have changed the initial conditions. The initial conditions don’t speak about some external memory.
I’m not using any external memory during the experiment. Only later, at home. What I do at home is my business.
Then, it’s not the experiment’s business.
If you deny that indistinguishable states of knowledge can be created, the sleeping beauty problem is probably meaningless to you anyway.
There are (at least) two (meaningful) versions of the sleeping beauty problem. One is yours.
But they are two different problems.
You have changed the initial conditions. The initial conditions don’t speak about some external memory.
I’m not using any external memory during the experiment. Only later, at home. What I do at home is my business.
Then, it’s not the experiment’s business.
If you deny that indistinguishable states of knowledge can be created, the sleeping beauty problem is probably meaningless to you anyway.
There are (at least) two (meaningful) versions of the sleeping beauty problem. One is yours.
But they are two different problems.