Raz and Chang argue in different ways that incommensurability could not be
vagueness, or not entirely so. But they fail to appreciate the resources available to the
vagueness view. Vagueness need neither be marginal, nor unidimensional, nor
problematically arbitrary.
Incommensurability as vagueness and its rivals can each capture the formal structure
of incommensurability: that none of the three trichotomous comparisons is knowably
true. So we must then turn to the virtues of the competing explanations. (Which in some
cases, though not here, itself generates a kind of explanatory incommensurability.)
Incommensurability as vagueness offers a complete, parsimonious explanation of the
phenomenon of incommensurability. Hard-incommensurability is explanatorily
superfluous; arguments to the contrary mischaracterise either incommensurability or
vagueness.
Moreover, there is a general question for the Trichotomous Incomparabilist who
nevertheless accepts that there is widespread evaluative comparative borderlineness:
where is it all? If Chang is right that it does not manifest as incommensurability, then how
does it manifest? And if Raz is right that some incommensurability is grounded in
vagueness, but the main part is hard-incommensurability, then why can we not identify
clear cases of the two different phenomena? This has proceeded at a very general level,
but there is another way of pressing the point: for any case of incommensurability, we can
locate a source of vagueness that plausibly generates it. I can only report my own
experience, but I cannot think of any instances of incommensurability that cannot be
given a plausible analysis in terms of vagueness.
This is a burden-shifting argument.
32As such, we cannot rule out the possibility of an
as-yet unseen argument that some or all incommensurability could not be comparative
borderlineness. But the prospects for this are not promising: vagueness seems able to
explain the structure of incommensurability, its connection to multidimensionality and
especially Pareto-mixing, and why incommensurability requires arbitrary choice or
stipulation.
Incommensurability is a puzzle. But the thesis that incommensurability is vagueness
has far-reaching consequences for the nature of rational choice and action. If choice in the
face of incommensurability is choice in the face of vagueness, then it is often (at best)
borderline whether we choose the most valuable option. I think that this, along with
vague credences in epistemology, are manifestations of a broader phenomenon ofvague
reasons, which fail to pick out one class of actions as uniquely justified. As I argue
elsewhere, the ought-reasons platitude—that one ought to do what one has most reason
to do—must be modified in the face of vagueness, since it cannot cope with the claim that
whichever way we plump, we have done as we ought.
33Incommensurability as vagueness also promises to explain the troublesome
phenomenon ofvalue-pumping: by exchanging incommensurate objects—apparently
permitted on every account of incommensurability—repeatedly, we find ourselves
determinately, clearly worse off. This also arises in (what I argue are) other manifestations
of vague reasons, such as Warren Quinn’s Puzzle of the Self-Torturer, and sequences of
bets that exploit vague credences.
34Assimilating incommensurability to vague reasons
promises an explanation of the impermissibility of some sequential choices, in terms of
tolerance. It is far from clear whether other accounts have the resources to do so.
35But
this is an issue for another day, and here I merely offer a promissory note on the
value-pumping front.
Today’s more modest conclusions are that incommensurability is vagueness—at least,
we haven’t seen any reason to think that it isn’t—and that it is vague which holiday is
better.
33See Chapter 4.
34See Quinn (1990), Elga (2010), and Tenenbaum and Raffman (2012).
2
Heaps and Chains: is the Chaining Argument for Parity a Sorites?
Abstract. I argue that the Ruth Chang’s Chaining Argument for herparity
view of value incomparability trades illicitly on the vagueness of the predicate
‘is comparable with’. Chang is alert to this danger, and argues that the
predicate is not vague, but this defence does not succeed. The Chaining
Argument also faces a dilemma. The predicate is either vague or precise. If it
is vague, then the Argument is most plausibly a Sorites. If it is precise, then
the Argument is either question-begging or dialectically ineffective. I argue
that no Chaining-type argument can succeed.
1Ruth Chang defends the strikingly original claim that there is a fourth value relation
ofparity, instantiated in some cases of value incomparability (also called
‘incommensurability’). The Parity view is that in at least some evaluative comparisons
between two options, neither is better than the other, and they are not equally good, but
the options are nevertheless comparable: they areon a par.Parity is a fourth comparative
relation, besides the ‘trichotomous’ three of betterness, worseness, and equality.
A central argument for this view is the Chaining Argument.
2But, I shall argue, it has
not been noticed that the Chaining Argument illicitly trades on the vagueness of its key
predicate, namely ‘is comparable with’. Chang is alert to the danger of vagueness, but her
defence against it applies to only one of the two ways vagueness could undermine the
Argument, and there is no clear way to generalise this defence.
1I am indebted to Ruth Chang, Geoffrey Sayre-McCord, Keith Simmons, and three anonymous reviewers forEthics, for extensive discussion and comments. This paper appears inEthicsVol. 124, No. 3 (April 2014), pp. 557–571.
2Chang (2002), especially section II. Chang has also defended Parity elsewhere. For discussion, see for example Gert (2004) and Wasserman (2004).
In section 1, I sketch the terrain. In section 2, I describe the Chaining Argument.
Section 3 shows how the Chaining Argument is structurally similar to a Sorites fallacy,
and describes Chang’s defence against this. Section 4 shows that this defence is
ineffective against another, overlooked way in which the Chaining Argument could be a
Sorites. In section 5, I argue that this possibility explains the intuitive plausibility of the
argument’s central premise. In section 6, I argue that Chang’s defence cannot be extended
to cover this possibility without question-begging. Section 7 concludes with an argument
that no Chaining-type argument is likely to be effective in defence of Parity.
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