Hi Robert,
Thanks for reading my work, I look forward to reading your paper after finals in my technical program have concluded next Friday. Thanks also for giving these wonderful points of critique which provide me with another opportunity to clarify.
I will go point by point:
1) I don't think a Cassandra machine is possible either, but I don't think you demonstrate this logically. Your thought experiment seems to me to assume that the machine that executes the program on the basis of the Cassandra machines input cannot go wrong. But I don't think you can assume that any physical machine is perfect.
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To take what is strictly necessary for my argument to extremes, all that is required to let it go through is the recognition that it is logically possible for a computer to follow a simple program accurately, and for a robotic arm to accurately move a small weight from one location to another. Of course, there is no question that these feats are logically possible, since they are everyday occurrences. The possibility of a malfunction in either of these systems, then, is irrelevant to the conclusiveness of the argument I offer against the logical possibility of Cassandra machines.
2) I didn't understand your explanation of why we see/remember the past but not the future. I don't think the speed of light is the issue, since the laws of physics seem to be CPT-invariant (essentially, should run the same forward as backward).
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I did not comment on this issue. I said that our eyes see events after they happen, but I made not comment as to why our eyes cannot see the future without some kind of aid like a foreknowledge machine.
3) I would add, however, that we probably can't have foreknowledge of events--like a wave of radiation from a gamma-ray burst--traveling toward us at light speed.
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If you are referring to viewer foreknowledge, why not?
4) Even if foreknowledge machines are logically possible, they may not be physically possible. The obstacles may not be philosophical, but physical. And even if there is some way to observe the future from the present, we may lose a lot of resolution at any distance through time.
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True. As far as losing resolution through time, this is an intriguing concept that I have not delved into. Thank you for that.
(Continued in next post)