This entire theoretical framework is based on the assumption that “she makes a million copies of both of you, sticks them all in rooms, and destroys the originals” is meaningfully possible, which it may not be, and that it would result in a “you” that is somehow continuous, which is not clear, and may not be experimentally verifiable.
And of course, if you ever encountered an Omega hypothetical in real life, you’d decide that “He’s lying” has P~=1. Perhaps that’s why Omega keeps getting used; all Omega hypotheticals have that property in common, I believe.
This entire theoretical framework is based on the assumption that “she makes a million copies of both of you, sticks them all in rooms, and destroys the originals” is meaningfully possible, which it may not be, and that it would result in a “you” that is somehow continuous, which is not clear, and may not be experimentally verifiable.
And of course, if you ever encountered an Omega hypothetical in real life, you’d decide that “He’s lying” has P~=1. Perhaps that’s why Omega keeps getting used; all Omega hypotheticals have that property in common, I believe.