| | Jordan- Those are some interesting puzzles. I think some would make great teaching opportunities. How do you think Objectivism would answer them?
Ship of Theseus -
I think a more appropriate puzzle would be: "If your body's cells are being replaced constantly, are you still the same person?" From an Objectivist point of view, there are no paradoxes - there is only reality. "You" are not just the cells which make "you" up, you are also your consciousness. Though your cells die and are replaced, you are still the same consciousness, so you are still the same person.
Zeno's Paradoxes sound a little bit too much like advanced math. I'm not sure I could come up with a simple enough version, nor draw its link to ontology, that they could understand. Perhaps: If you're 10 feet from a wall, and every step you took brought you half the remaining distance to the wall, how many steps would it take to reach the wall. Mathematically, you would never reach the wall because every step would leave you some distance from the wall which the next step would only bring you halfway closer to. Objectivism, I think, would argue, "Of course you'll reach the wall. Just reach out and touch it when you're close enough. You and the wall can never occupy the same space, because you can't walk through walls." But I'm not sure how I would tie this into knowing what is really real.
Evil demons hypo-
I'm not sure I understand what you mean by this. Do you mean evil demons hypothetically? Asking whether there really are evil demons, or how we would know there are evil demons or not?
The Trolley Problem-
I imagine Objectivism would begin by dismissing the relevance of the problem and put it under "emergencies." It's not a moral question one would encounter, therefore it has no bearing upon how their moral principles would deal with it, nor should it be considered when developing your morality. If pressed, the Objectivist would probably ask whether any of those in the current path, or possible path, are of value to you. If one (or many) of the group were of value to you, you would flip the switch. If the one in the possible path were of value to you, you would not flip the switch. If none are of value to you, or all are of value to you, your moral principles won't help you. You're screwed anyway and no amount of fretting, worrying, or wishing is going to help.
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