Let’s briefly recall how I accounted for degrees of being in earlier chapters. First,
I appealed to the notion of asemantically primitive restricted quantifier, which is a
quantifier that fails to range over everything that there is but is not a semantically
complex unit consisting of the unrestricted quantifier and a restricting predicate or
operator. I then offered (in chapter 1) the following account ofmodes of being: there
are modes of being just in case there are some possible semantically primitive
restricted quantifiers that are at least as natural as the unrestricted quantifier. In
chapter 5, I defended the following definition ofdegree of being:xexists to degreen
just in case the most natural possible quantifier that ranges overxis natural to degreen.
In slogan form:an object’s degree of being is proportionate to the naturalness of its
most natural mode of existence. If something exists and is in the domain of a perfectly
natural quantifier, it has the highest degree of being: itfundamentallyexists. If
something exists but is not within the domain of a perfectly natural quantifier, it
existsdegenerately. To exist degenerately is to exist to a less than maximal degree.
Both the notion of a mode of being and the notion of a degree of being can be
straightforwardly accounted for in terms of the naturalness of certain quantifiers, and
can be used by friend and foe alike. The foe of modes of being could claim that no
other quantifier could be as natural as the unrestricted quantifier, thereby ensuring
(given the definitions above) that everything has the same fundamental mode of
being and exists to the same degree.
Here I propose to temporarily table the question of whether there are modes of
being in order to focus on whether being comes in degrees. Modes of being will play a
role in one of the arguments discussed in section 7.5, but will mostly fade into the
background in this chapter.
7.3 Defining Naturalness in Terms
of Degrees of BeingI will now turn to the question of whether one can understand the notion of
naturalness in terms of the notion of degrees of being.
First, recall that Sider prefers a nominalistic construal of naturalness or structural
facts, to use his preferred locution. According to this nominalistic construal, no entity
is needed to“back up”claims about naturalness or structure. Sider regiments talk of
naturalness in a putatively nominalistic way via his“S”operator, which can prefix
open sentences containing any type of unbound variable and thereby yield a closed
sentence stating a fact about structure.
One nice thing about Sider’s proposal is that it provides a way to make sense of
how other expressions besides predicates can be metaphysically important. But the
realist about properties could agree with Sider that other expressions besides predi-
cates can be ranked on the naturalness scale. In fact, the realist view is arguably
the more intuitive view: what makes sentences using“S”true are facts about the