HybridPhoenix wrote: ↑Mon May 28, 2018 11:17 am
During these series of videos, and many more, people call out the argument in their own way, so I would like to know what you guys think of it.
Thanks for posting this, HybridPhoenix. I looked through just a bit of this very briefly and one thing that I noticed was that there seems to be some confusion among the interlocutors about which traits are supposed to be necessary as opposed to sufficient for moral value / non-trivial moral status / being such that it isn't OK to inflict massive suffering / death on one for relatively trivial benefits like taste pleasure. E.g. when some of the anti-NTT side suggest that being human is sufficient for moral status, some on the pro-NTT side misunderstand this as a claim about what is necessary for moral status.
Put in these terms, P1 of NTT asserts that humans have moral value and P2 of NTT asserts that non-human animals do not lack any traits that are necessary for moral status in humans. What can sometimes be confusing is that one might think that several specific traits are sufficient for moral status in humans without being necessary (so that the only "trait" that is necessary is the disjunctive one of having one of several possible more specific traits). One way to try to clarify things here is to understand 'traits' broadly to include disjunctive traits like this and to consider not only what is necessary but also sufficient for moral status (as well as to fix up the first premise and add a third premise), which is the line we took in our current fix-up of NTT, NTT 2.0 [
wiki/index.php/NameTheTrait#Correction;
wiki/index.php/NameTheTrait_2.0]
But one thing that has always bothered me about this fix-up, as
@brimstoneSalad and
@DrSinger may recall, is that the move to talking about traits like this and what is both necessary and sufficient for moral status seems (i) way too committal for this argument (which should remain as neutral as possible about such issues as the full explanation of moral status) and (ii) awfully forced and potentially confusing too.
As such, I took another look back and I think that there is actually a valid, 2 premise revision of NTT that speaks only of sufficient conditions for moral status / moral value. In English it runs:
(P1) If a trait is sufficient for moral value in humans, then it is sufficient for moral value in any being that has the trait.
(P2) Sentient non-human animals have a trait that is sufficient for moral value in humans.
Therefore
(C) Sentient non-human animals have moral value.
The logical form of this argument in first order logic is:
(P1) ∀t ( Tt ∧ ( ∀x ( Hx ⇒ ( Pxt ⇒ Mx ) ) ) ⇒ ∀z ( Pzt ⇒ Mz) )
(P2) ∀y( SNAy ⇒ ∃t ( Tt ∧ Pyt ∧ ∀x ( Hx ⇒ ( Pxt ⇒ Mx ) ) ) )
Therefore
(C) ∀x ( SNAx ⇒ Mx )
Where
T(x) means 'x is a trait'
H(x) means 'x is a human'
P(x,y) means 'x has y'
M(x) means 'x has moral value'
SNA(x) means 'x is a sentient non-human animal'
Or, directly translated from FOL into English:
(P1) For all t, if t is a trait; and for all x, if x is human then if x has t then x has moral value; then for all z, if z has t then z has moral value
(P2) For all y, if y is a sentient non-human animal then there exists t such that t is a trait and y has t and for all x, if x is human then if x has t then x has moral value
Therefore
(C) for all x, if x is a sentient non-human animal then x has moral value.
Here is a natural deduction proof of the validity of this argument:
(1) ∀t ( Tt ∧ ( ∀x ( Hx ⇒ ( Pxt ⇒ Mx ) ) ) ⇒ ∀z ( Pzt ⇒ Mz) ) ; P1
(2) ∀y( SNAy ⇒ ∃t ( Tt ∧ Pyt ∧ ∀x ( Hx ⇒ ( Pxt ⇒ Mx ) ) ) ); P2
(3) SNAc ⇒ ∃t ( Tt ∧ Pct ∧ ∀x ( Hx ⇒ ( Pxt ⇒ Mx ) ) ); 2, universal elimination
(4) SNAc ⇒ Ts ∧ Pcs ∧ ∀x ( Hx ⇒ ( Pxs ⇒ Mx ) ); existential elimination
- (5) SNAc; assumption
(6) Ts ∧ Pcs ∧ ∀x ( Hx ⇒ ( Pxs ⇒ Mx ) ); 4, 5, MP / conditional elimination
(7) Pcs; 6; conditional elimination
(8) Ts ∧ ∀x ( Hx ⇒ ( Pxs ⇒ Mx ) ); 6; conditional elimination
(9) (Ts ∧ ( ∀x ( Hx ⇒ ( Pxs ⇒ Mx ) ) ) ⇒ ∀z ( Pzs ⇒ Mz); 1; universal instantiation
(10) ∀z ( Pzs ⇒ Mz); 8, 9, MP / conditional elimination
(11) Pcs ⇒ Mc; 10, universal instantiation
(12) Mc; 7, 11, MP / conditional elimination
(13) SNAc ⇒ Mc; 5-12, conditional introduction
(14) ∀x ( SNAx ⇒ Mx ); 13, universal introduction
Would others think that this is a better fix-up of NTT than our current NTT 2.0? In some ways it takes greater liberties with the existing logical form, although I think that it is much simpler & less confusing in the ways described above.
That said, one way to stick closer to NTT's original formulation in terms of necessary rather than sufficient conditions for moral value might be the following 2 premise argument:
(P1) If a being doesn't lack any of the traits necessary for moral value in humans, then it has moral value.
(P2) Non-human animals don't lack any of the traits necessary for moral value in humans.
Therefore
(C) Sentient non-human animals have moral value.