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Errol Lord
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Hi Doug, I haven't had time to read all the comments carefully, but let me report that adding the time-indexes doesn't alter my reaction to Broome's case. The core intuition is that you aren't doing something you ought to do by eating heartily unless you exercise regularly. So suppose you start eating heartily at t2 but don't start exercising regularly at t2. In that case, you say that you do something you were obligated to do at t1--viz. eat heartily. That seems wrong, though.
Toggle Commented Mar 15, 2011 on A Bleg for Help with Deontic Logic at PEA Soup
John Broome has some potential counterexamples to your first argument schema (and thus to the more general one as well) in chapter 5 of his book manuscript about reasoning (I think it's now called Rationality through Reasoning). The cases are supposed to be counterexamples to certain transmission principles, but they work just as well here. Here's one of his cases: 1. If you exercise regularly, then you ought to eat heartily. 2. You ought to to exercise regularly. 3. Therefore, you ought to eat heartily. Broome's intuition is that 3 is only true if you actually exercise regularly. In other words, he doesn't think you are doing something you ought to do if you eat heartily but don't exercise regularly. I'm not sure what I think about this case, but I'm somewhat sympathetic to Broome's views about it.
Toggle Commented Mar 15, 2011 on A Bleg for Help with Deontic Logic at PEA Soup
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Mar 14, 2011