brimstoneSalad wrote: ↑Sat Jun 02, 2018 12:59 am
It seems like it takes too great of liberties with the logical form for a fix, and while it's simpler I think it's a pretty standard argument (just phrased a bit differently).
E.g. it looks more like what the argument from relevance is trying to do:
http://www.animal-ethics.org/argument-relevance/ (something I've been meaning to start an article on for a long time)
That link didn't work - did you mean
http://www.animal-ethics.org/sentience- ... sentience/?
I agree that talking about sufficient conditions gets farther from the basic idea of NTT, which is really about necessary conditions. How then about this 2 premise way of capturing the idea of NTT in terms of necessary conditions:
(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.
?
The big problem for formalizing these sorts of arguments that deal with necessary conditions (which extends to Isaac's original presentation of NTT and also our current NTT 2.0 [
wiki/index.php/NameTheTrait_2.0]) has to do with the issue I PM'd you about regarding the material conditional. The natural way to try to formalize 'A is a necessary condition for B' is as 'if B then A' or 'if not A then not B'. But if we interpret the conditional / 'if...then...' as a material conditional, then it's equivalent to 'either A or not B', which is true as long as A is true, regardless of A's relation to B. Thus, if you try to formalize 'trait t is a necessary condition for moral value in humans' as 'if humans don't have trait t, then they don't have moral value', and this is understood as a material conditional, it comes out equivalent to 'either humans don't have trait t or they don't have moral value'. So if humans all have some trait (like being biologically human), then even if this isn't relevant to moral value, this way of trying to formalize necessary conditions for moral value will count the trait as a necessary condition for moral value.
As I suggested in my PM I can think of two main ways to fix this:
(i) We could understand the conditional instead as a counterfactual conditional and allow it to consider what would happen in the closest possible worlds in which each of the humans had not been human (it's fine if this is metaphysically impossible, counterfactual conditionals with impossible antecedents are arguably very helpful in places like mathematics).
(ii) We just formalize a trait's being necessary for moral value as its own relation, e.g. a three-place relation of the form N(t, x, M) which means 't is necessary for x to have moral value'.
Although I don't think that it will really matter from the perspective of the proof of validity, I actually think that I prefer the counterfactual conditional route - which I think corresponds more closely to what Isaac has said in various place. E.g. if someone suggests that the trait of moral agency or high intellectual ability is necessary for moral value in humans, one can say 'well, what if I was an infant, or severely intellectually disabled? Wouldn't I still have moral value? If so then my being a moral agent or having high intellectual ability can't be necessary to my moral value." Similarly, if someone suggests that being human is necessary to one's moral value, one might respond "well, what if I wasn't human but I had the exact same psychology that I do now - or what if I wasn't human but I was even more sentient and intellectually able? Surely I would still have moral value? Since I'd obviously still have moral value even if I weren't human, membership in the species homo sapiens can't be necessary to my moral value, even though I am indeed a member of the species homo sapiens.'
The standard notation for a counterfactual conditional is a box arrow, which looks very roughly like this '[]-->', where 'A []-->B' means 'if A were the case then B would be the case' (for discussion on trying to get TeX to make one see
https://tex.stackexchange.com/questions ... erfactuals). If we want to use the counterfactual conditional can someone see if we can get our wiki fonts to produce it?