All I can say, really, is that I think that Error and Mark et al are demanding an overly strong moment-to-moment connection between observer slices for their conception of identity. My view is easier to reconcile with things like quantum physics, ageing, revived comatose patients etc. and that is the sort of thing I appeal to by way of support.
Details please.
Quantum physics? Max Tengmark does this subject better than I have the time to. And btw, he's on our side.
Aging? Don't see the connection. You seem to argue that information patterns are identity, but information patterns change greatly as you age. Mark at age 12, the troubled teenager, is very different than Mark at age 29, the responsible father of two. But I think most people would argue they are the same person, just at two separate points in time. Why?
Comatose patients? Connection please? I am not aware what objective data you are pointing to on this.
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"I would let the five die and not feel guilty about it, because I am not the cause of their deaths."
A more charitable way of phrasing the consequentialist PoV here is that we care more about stopping the deaths than avoiding feelings of guilt. Yes, it's true that on certain accounts of morality you can't be held responsible for the deaths of five people in a Trolley Problem-esque scenario but the people will still be dead and consequentialism is the view that consequences trump all other considerations, like adherence to a deontological moral code, acting as a virtuous person would act, acting in a way that is perfecting of one's teleological nature etc.
Whether or not to hold people responsible for certain actions, like everything else on consequentialism, is, for us, a matter of determining whether that would lead to the best consequences.
Now, having said that, in practice consequentialists will behave like deontologists, virtue ethicists etc. quite a lot of the time. The reason for this is that having everyone go around making individual act utilitarian calculations for every potentially moral decision would likely be catastrophic and consequentialists are committed to avoiding terrible consequences whenever possible. It is usually better to have rules that are held to be exceptionless (but which can be changed to some degree, as is exactly the case with law) and teach people to have certain virtuous qualities so that they won't be constantly looking for loopholes in the rules and so on.
Does this mean that deontology, virtue ethics etc. are correct after all? No! Because it's still all being justified on consequentialist grounds, which is how we decide which rules to have and what counts as a virtue etc. in the first place. They will be the rules and virtues that lead to the best real world consequences. Because the kind of philosophical scenarios under which it is morally correct to push a fat man off a bridge are carefully constructed to be as inconvenient as possible the rules and virtues that we use in practice will probably forbid pushing people off bridges or raising the kind of person who would do that. This will mean that once in a blue moon someone really will find themselves in such a scenario and that person will likely make the wrong decision. It will also mean that the majority of the time, people will be making the right decisions and the consequences, overall, will be better than they would be if we let people decide for themselves on a case-by-case basis whether murdering someone maximised utility or not.
Consequentialism will still have counter-intuitive results. It should! There's no reason to think that our intuitions are an infallible guide to what's right. However, the kind of consequentialism attacked in a lot of philosophical arguments is a pretty naive version and it would be much more productive for everyone if we focussed on the stronger versions.