Well then I would be genuinely surprised.
Even if not, is any amount hand-wringing moralistic guilt comparable to the suffering brought on by cancer?
Depends on the level of empathy for the girl, and how much she and her family suffered.
Of course, your hypothetical also carries with it lots of assumptions that don't really apply in any realistic sense.
That is exactly what its doing... if you can't use the system to determine whether to choose between two acts that will cause varying amounts of unhappiness in some vs others(promoting one person or group's happiness at the expense of others), you can't discuss moral dilemmas at all using it.
That's exactly what it does. It compares one person's happiness to that of others.
All well and good, still not logically imperative. In other words, you could not, solely using logic, convince someone who held the antithetical position(ethical actions bring about the most suffering for the least eudaimonia) to change their mind.
Since when has logic been any good at changing peoples' minds, anyway?
Disagree, I far more tend towards Kantian categorical imperatives as opposed to utilitarianistic ideation.
Though I tend to look at evil and good as more medical, sick and healthy... and on my more detached days imagined as code.
I generally do, as well, and I don't discount Kantian ethics, either. I see no reason why the concept of the inherent worth of humanity must be in competition with utilitarian calculation. The inherent worth of human life comes from our inherent social instincts; we instinctively know that killing other people is a bad thing, even if some slip in a moment of rage, because we're a social species. (There are some people who lack that instinct, of course; they suffer from a disorder.)
Human life takes precedence above all, and moreso the life of a child. It may be illogical, but it's what makes us human; going against it would cost us our humanity. Thing is, though, it's not illogical, nor inherently antithetical to calculation (in fact, it is, itself, a calculation of sorts). The wellbeing of children takes precedence over the wellbeing of adults, and so any happiness that can be bought for adults with the life of a child is not worth the price; the act remains unethical. We may use medicines developed from Nazi human experimentation, but that doesn't make what they did okay.
Ethical calculation need not be devoid of human empathy. And in either case, my original point that religion is not necessary to have a strong moral code remains.
...I do feel I should point out that I only know about these two ethical philosophies in the first place from one Junior College class I took on Ethics... many years ago... and while I found the abstracts quite fascinating, I did not pass that class. (I don't even remember the names tied to utilitarian philosophy.)
So, it's entirely possible I'm misusing/misunderstanding both philosophies entirely.
It uses logic, it is not based in logic...
Explain to me the difference, because I don't see any relevant distinction. Use logic itself, not an analogy, if you would.