If a philosophical framework can't objectively say, with relative ease, "This cat is injured," or, "This cat is ill," or even, "This is a cat"
What philosophical framework can't give meaning to such phrases? A thing is a cat if it has certain physical characteristics (four legs, claws, fur, etc) and is sufficiently closely genetically related to other such things.
Note, though, that all natural language claims are fuzzy. A typical cat is clearly a cat, but there are unusual entities where it may be difficult to say. Suppose you took a cat genome and added genes from a hamster genome in such a way that the resulting animal grows up healthy. At what percentage of hamster genes do you stop calling it a cat and start calling it a hamster or an in-between kind of animal? This doesn't mean philosophy can't assign meaning to the word "cat," just beware that meaning is always a bit fuzzy and ambiguous.
indeed we can say there is an "essence" to homosexuality: same-sex sexual attraction. But it's a composite, and considering what sexual attraction is ordered towards, in homosexuality its end is inherently frustrated by the "same-sex" qualifier. So, unless you deny that the end of sex is reproduction (even though it is quite evident), you can conclude that homosexuality is inherently disordered.
Homosexuality is common throughout the animal kingdom, from fruit flies to cows. It's certainly natural.
When you talk about the "end" of sex from a naturalistic perspective, I will interpret this as talking about the causal reason that sex evolved. Sex mostly evolved because it causes organisms to reproduce, that's true, but that's not the only reason sex evolved. Sex also evolved to serve a role in pair bonding and the maintenance of relationships among social organisms such as bonobos. That secondary reason also holds for homosexual relationships.
More than that, we are not required to be slaves to evolution. Humans have the ability to think and make decisions for ourselves on the basis of what we want, not on the basis of what evolution "wants for us." If we are ascribing wants to evolution, then evolution "wants" us to just have as many children as possible. But does anyone want to live like that? Not many! If it is "disordered" to have no children, isn't it also "disordered" to only have five children when you could have had ten?
Evolution is a separate entity from you, and it wants things that are somewhat different from what you want. Think of it like an ogre, demanding you work for it. The ogre has a lot of power over you, but not total power. What reason do you have to willingly surrender your remaining independence to the ogre? Sure, the ogre might be acting with its own "purpose," but does that mean you ought to obey it? You act with purpose too, and your purposes may be opposed to those of the ogre.
Question 1: How can we objectively establish that some particular arrangement of matter has a "natural purpose"?
There is a test I like to apply that tells you something like this. Most people would be reluctant to call this "purpose." For the moment let's call it a "goal-oriented tendency."
Before I say what I mean by "goal-oriented tendency," I'll give some examples:
- A mouse fleeing a cat
- A light-sensing robot that chases an LED
- A human solving a Sudoku puzzle
- An autopilot that uses a simple feedback loop to keep an airplane on course
- A thermostat
- A ball rolling down a basin
- Evolution optimizing organisms for reproductive fitness
It's harder to find examples of things that lack any sort of goal-oriented tendency. But consider a machine stamping aluminum pie plates. The machine takes in a circle of aluminum and brings the stamp down at regular intervals. The circle of aluminum could be misaligned by the human operator, and if so, the machine doesn't care or correct for it, it simply brings down the stamp anyway. Because of the lack of any feedback mechanism to ensure the circle is centered, the machine cannot be said to have a goal-oriented tendency to make correct pie plates.
So a goal-oriented tendency is simply a feedback mechanism that pushes things towards a certain outcome, and (crucially) can correct for perturbations away from the outcome. In the sense of differential equations, the outcome becomes an attractor of the system.
Question 2: Assuming that some arrangement of matter has a "natural purpose", how then does it follow that any deviation from that "natural purpose" is objectively morally wrong or evil?
It does not follow. A thermostat tends to bring the temperature towards a set range. But it is not wrong or evil if the temperature falls outside that range. The thermostat is still "trying" to regulate the temperature, but this alone does not mean any harm was caused.
For a particular person, what does matter is what that person's goal-oriented tendencies are. What is that person trying to do? If that person is trying to do X, but actually Y (quite different from X) is happening, then that person will judge Y to be a problem.
And in the end, for you, the particular person that matters is you. What are you trying to do? If something is supposedly objectively evil, but you want it with all your heart, then you want it and will seek it regardless. If something is supposedly objectively good, but you don't want to do it, then you won't seek it. So it simply doesn't matter to you whether something is good or evil, except insofar as ideas about good or evil influence what you want.
It's not just about what you want though, because by thinking about the consequences of your actions and considering various philosophical arguments, you can change what you want. Based on such thinking, you can decide whether or not you support vegetarianism, for example. And (if you are philosophically inclined) then you want to want what you would want, if you thought about it more!
So there's what you want - in the moment - and then there's what you would want, or what you really want - if you were older and wiser. You might decide to attach the label "good" not to the things you want in the moment, but to the things you would want after sufficient consideration of consequences and philosophical arguments.
I believe that "what you would want after sufficient consideration" would, for most people, involve being more altruistic than they currently are.