I consider meat to be murder because I believe that animals have souls.
Dairy is only rape if the cow (or other animal) is forced to have sex against her will to produce the milk. Otherwise, it's just taking advantage of something that would be happening anyway (although it could be argued that it is taking vital nourishment away from the calf, unless only excess milk is used for human consumption - I don't really know how they do things).
Eggs aren't abortions unless the egg has been fertilized, which most eggs consumed by humans have not. If the egg hasn't been fertilized, it's the bird equivalent of having a period, which might seem gross, but there's no ethical reason not to consume them, if you're looking at it from a standpoint of taking life.
I'm not really sure where I stand on pet ownership. On the one hand, yes, the animals are being forced into captivity, but on the other, some animals have been domesticated to the point that they couldn't survive in the wild, or at least would be much better off under the care of a human. In general, animals have longer life spans in captivity than in the wild, because they are kept away from predators, given all the food they need, and provided medical care in the event of illness or injury. I tend to view having a pet like having a child - it's another living being that is under the person's care.
In my opinion, killing things because one has to in order to survive is different from killing things when one has other options. I am vegetarian and would really like to be vegan if I could manage it, but that's really because I object to the way animals used for producing things consumed by humans (like meat, dairy, and eggs) are usually treated. People view the animals as a way to make money, not as living things that feel pain and suffering, and that's what I take issue with. If people would treat the animals with respect and kill only what they need, I would probably be fine with other people eating meat even if I choose not to. As it stands, I don't try to push it on anyone, but if asked, will tell them exactly why I don't eat meat. It's other people's choice what they want to eat, but I think they should be informed about where it comes from.
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Yet in my new wildness and freedom I almost welcome the bitterness of alienage. For although nepenthe has calmed me, I know always that I am an outsider; a stranger in this century and among those who are still men.
-H. P. Lovecraft, "The Outsider"