Harry’s induction is only correct if either wanting to live one more day implies wanting to live two more days as a mathematical law(which is not true) and that it’s impossible to change your mind partway through a two-day period(which is also not true), or if he knows what he will desire at every possible future date. Since neither of those conditions holds, mathematical induction fails.
Harry’s induction is only correct if either wanting to live one more day implies wanting to live two more days as a mathematical law(which is not true) and that it’s impossible to change your mind partway through a two-day period(which is also not true), or if he knows what he will desire at every possible future date. Since neither of those conditions holds, mathematical induction fails.