brimstoneSalad wrote: ↑Fri Dec 01, 2017 5:28 pm
Sorry, I guess I missed or forgot to respond to this stuff:
Margaret Hayek wrote: ↑Wed Nov 29, 2017 7:44 pm
(P1) All (sentient) humans have moral value
(P2) There is no trait (broadly construed so as to include totalities of differences) such that no (sentient) non-human animals have the trait and if x is an alteration of a (sentient) human and x lacks the trait, then x lacks moral value.
(P3) if an altered (sentient) human lacks the totality of differences between (sentient) humans and (sentient) non-human animals, then the altered (sentient) human is a (sentient) non-human animal. (This resembles, but is logically weaker, than the identity of indiscernibles)
Therefore, (C) all (sentient) non-human animals have moral value
Anyone want to translate into FOL and prove or find a counterexample? It's been awhile since I've taught logic, and I'm already spending just a bit too much time on all this...
That correction doesn't work. It only shows that
some possible sentient animals (that were previously humans) must have moral value, not that all of them do.
The trait "used to be a sentient human" could be relevant here to call P2 false, but it's not clear that we're talking about such traits of prior identity. The wording of P2 suggests it's only talking about current traits that could be removed (since that's not something X could lack, else P2 contradicts itself).
Great: in terms of P2 sounding like it's talking about actually taking a human and changing them, that's exactly what makes NTT NOT sound like it is appealing to the alternative reading (I was thinking of saying this when saying more about the alternative reading). What the P2 is really saying in the alternate version (which uses the identity of indiscernibles) is:
"(P2) There is no trait (broadly construed so as to include totalities of differences) such that no sentient non-human animals have the trait and if x is a 'counterpart' of a sentient human - i.e. a sentient entity different in some way from a sentient human - and x lacks the trait, then x lacks moral value."
These differences can be differences of any kind - including origin, and lacking the essential properties of sentient humans, so the 'counterparts' here have no claim on being or even historically deriving from sentient humans. Since this covers all sentient beings, what P2 is really saying is
"(P2) There is no trait (broadly construed so as to include totalities of differences) such that no sentient non-human animals have the trait and if x is a sentient being and x lacks the trait, then x lacks moral value."
That's saying that there is no trait absent in sentient animals that, if absent in a sentient being, makes that being valueless. That's at least coming very close to simply asserting that there is no trait absent in sentient beings in general that makes them valueless - or simply asserting that all sentient beings have moral value (it isn't quite, because it could be that, e.g. the absence of not being morally culpable makes sentient beings lack moral value [although that isn't what even retributivists typically think], but that not being morally culpable is not absent in non-human animals (i.e. they are not morally culpable) - but it's getting close).
So let me re-ask the question with this clarified: if you understand (P2) as I've suggested here, is the argument from (P1), (P2), and (P3) to (C) (above) valid? Can anyone] prove it or provide a counterexample? Here it is in FOL (bearing in mind that here x such that C(x) or 'counterparts of sentient humans' really just are 'sentient beings different in some way from sentient humans):
(P1) ∀x ( H(x) ⇒ M(x) )
(P2) ¬∃t ( T(t) ∧ ∀x ( A(x) ⇒ ¬P(x,t) ) ∧ ∀y ( ( CP(y) ∧ ¬P(y,t) ) ⇒ ¬ M(y) ) )
(P3) ∀x ∀y ∀t ( ( T(t) ∧ CP(x) ∧ A(y) ∧ ( P(x,t) ⇔ P(y,t) ) ) ⇒ x = y)
Therefore, (C) ∀x ( A(x) ⇒ M(x) )
Is Dr. Singer's worry about P2 saying that there's no trait (broadly construed to include totalities of differences & absences of robust properties) the absence of which makes all counterparts valueless, but that there could still be a trait that makes some counterparts valueless? Could that be corrected by making P2:
(P2)' ¬∃t ( T(t) ∧ ∀x ( A(x) ⇒ ¬P(x,t) ) ∧ ∃y ( ( CP(y) ∧ ¬P(y,t) ∧ ¬ M(y) ) )
That is, there is no thing t such that t is a trait, and for all x if x is a sentient non-human animal then x does not have t, and there is no thing y such that y is a sentient "counterpart" of a sentient human, and y does not have t, and y does not have moral value.
DrSinger wrote: ↑Sat Dec 02, 2017 7:25 am
http://philosophicalvegan.com/wiki/index.php/NameTheTrait#Additional_Problems_with_Quantification
Re: Margaret
I think it's important to include something about the issue of quantification, since it is a problem with the validity of the argument, and has been overlooked imo. I think people should be aware of the importance of quantification generally (most people are not, see: many of the comments on Pavlov's Dog's video)
I dont think it's possible to avoid the nit-picking tag. I doubt anyone would be interested or compelled by the rest of the article but not interested in the quantification issue. Or think that the counterexamples are not nit-picking, but the quantification issue is.
If it is easy to correct, then why quibble about it? Why not just make the easy to make correction and move this discussion / leave this discussion in the 'getting to the most charitable version' section? Given the extreme danger of this all just coming across as pointless, butt-hurt nit-picking, I would think that nothing like this should be included unless it has some important relevance to actual, important confusions people have about the argument when interpreted in as charitable a way as possible...
That said, I still can't see what the point is of this consideration of ' even if NTT did establish that there is no moral value giving trait absent in all sentient nonhuman animals that would only imply that there is at least one sentient nonhuman animal with the moral value giving trait, not that all sentient nonhuman animals have the moral value giving trait'. The suppressed premise is going in essence to have to say that if the moral-value-giving trait would be present in us so long as we're sentient, then it is present in all sentient non-human animals. Since that suppressed premise just goes ahead and links the presence of the value giving traits in us to their presence in ALL non-human animals, I don't see what the point is of uncharitably considering this intermediate step of linking it only to some non-human animals.
Also remember, Isaac put the thing in terms of generics / general statements, so if we want to fairly capture the logical form in FOL, it's up to us in formalizing it to pick the universal and existential quantifiers in a way that is as charitable as possible.
As per above: are you concerned that P2 is saying that there's no trait (broadly construed to include totalities of differences & absences of robust properties) the absence of which makes all counterparts valueless, but there still could be a trait that make some counterparts valueless? If so then it should be up to us to fix this by translating P2 so it says that there's no counterpart such that the counterpart lacks the trait and the counterpart lacks moral value.
DrSinger wrote: ↑Fri Dec 01, 2017 3:39 am
I've watched quite a few of them and they're all quite similar, the opponent will name a trait, then AY will claim it's not a valid trait by using an invalid generalisation e.g. 'you wouldnt accept aliens killing you because of
species' etc. and claim they are contradicting themselves. Which is what I see as the most problematic aspect of this whole thing, the defenses of P2 as if it's logically impossible to name a trait.
When he's being more careful (e.g. in his new response video to this forum) he does note that P2 is a premise, and that one can reject the conclusion by rejecting P2. But there do seem to be other cases when he just says that the conclusion follows simply from P1; or P1 and logical consistency.
Would you agree that in our notation, this is the premise AY is introducing that's like the identity of indiscernibles
∃t ∀x ( ( T(t) ∧ CP(x) ∧ P(x,t) ) ⇒ A(x) )
edit: (forgot it has to me more than just an animal, it has to be the same animal)
∃t ( (T(t) ∧ ∀x (A(x)) ∧ ∀y (CP(y) ∧ P(y,t)) ) ⇒ x = y)
I just went ahead and addressed this on the wiki; as it now says there:
"In the notation we have been using, this [i.e. the identity of indiscernibles] could be expressed as
∀x ∀y ∀t ( ( T(t) ∧ ( P(x,t) ⇔ P(y,t) ) ) ⇒ x = y)
i.e. for all things x, y, and t, if t is a trait, and x has t if and only if y has t, then x and y are the self-same thing."
The logically weaker form is as I put it above:
∀x ∀y ∀t ( ( T(t) ∧ CP(x) ∧ A(y) ∧ ( P(x,t) ⇔ P(y,t) ) ) ⇒ x = y)
i.e. for all things x, y, and t, if t is a trait, and x is a sentient "counterpart" of a sentient human, and y is a sentient non-human animal, and x has t if and only if y has t, then x and y are the self-same thing.