Dentin comments on I Will Pay $500 To Anyone Who Can Convince Me To Cancel My Cryonics Subscription - Less Wrong
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No, I would never expect to simultaneously experience being on both Mars and Earth. If you find anyone who believes that, they are severely confused, or are trolling you.
If I know the replicator will get stuck and output 99 dentins on Mars, I would only expect a 1% chance of waking up on earth. If I'm told that it will only output one copy, I would expect a 50% chance of waking up on earth, only to find out later that the actual probability was 1%. The map is not the territory.
Not at all. In fact, it seems odd to me that anyone would be surprised to end up on Mars.
Because conciousness is how information processing feels from the inside, and 'information processing' has no intrinsic requirement that the substrate or cycle times be continuous.
If I pause a playing wave file, copy the remainder to another machine, and start playing it out, it still plays music. It doesn't matter that the machine is different, that the decoder software is different, that the audio transducers are different - the music is still there.
Another, closer analogy is that of the common VM: it is possible to stop a VPS (virtual private server), including operating system, virtual disk, and all running programs, take a snapshot, copy it entirely to another machine halfway around the planet, and restart it on that other machine as though there were no interruption in processing. The VPS may not even know that anything has happened, other than suddenly its clock is wrong compared to external sources. The fact that it spent half an hour 'suspended' doesn't affect its ability to process information one whit.