A Case for Nihilistic Dualism
Res Cogitans
Volume 3
Issue 1
Article 15
6-7-2012
A Case for Nihilistic Dualism
Victoria Roeck
University of Notre Dame
Recommended Citation
Roeck, Victoria (2012) "A Case for Nihilistic Dualism," Res Cogitans: Vol. 3: Iss. 1, Article 15.
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A Case for Nihilistic Dualism
Victoria Roeck
University of Notre Dame
Published online: 07 June 2012
© Victoria Roeck 2012
Abstract
Both Roderick Chisholm and Dean Zimmerman consider mereological essentialism to accurately describe the relationship
between parts and wholes. Chisholm supports mereological essentialism because he believes it solves the paradox of
coincidence, while Zimmerman embraces it because he believes it helps him defend dualism and refute materialism. In the
first part of this paper, I will prove that neither form of mereological essentialism solves the paradox of coincidence because
constitution does not entail identity. I will also prove that only nihilism solves the paradox of coincidence because
constitution is impossible. In the second half of my paper, I will prove that Zimmerman’s argument against materialism that
assumes mereological essentialism works better if you assume nihilism. I will then prove that nihilism is incompatible with
materialism, and a new form of nihilistic dualism is the best way to maintain the existence of each person as one persisting
thinker.
Part One: How nihilism better solves the paradox of coincidence
1.1: What is the paradox of coincidence?
One famous example of the paradox of coincidence is the Tibbles/Tib paradox. Assuming Leibniz’s
Law, two entities are numerically identical if and only if they have all the same properties. On Monday,
Tibbles the cat is a normal, domestic cat. Tib is the proper part of Tibbles that encompasses all of
Tibbles except for his tail. On Tuesday, a car runs over Tibbles’s tail and removes it. Tibbles survives
the accident because cats can live without their tails, and Tib survives being separated from the tail.
Tibbles has the property of having had a tail, and Tib does not; by Leibniz’s Law, they are numerically
distinct entities. After Tibbles’s tail has been severed, both Tibbles and Tib take up the exact same
region of space. Therefore, two numerically distinct objects are located in exactly the same place.
1.2: What is mereological essentialism?
Chisholm’s mereological essentialism seeks to solve this paradox by asserting that in a strict
philosophical sense of identity, no object can survive the loss of a part. Every part of an object is
essential to it, meaning that at all times (and in all possible worlds) when that object exists, it will have
all the same parts.1 Tibbles-on-Monday no longer exists on Tuesday because he has lost his tail, an
essential part of his identity. All that remains on Tuesday is Tib-from-Monday (assuming Tib did not
gain or lose any parts). However, on Tuesday, Tib-from-Monday becomes a constituent of the ens
successivum Tibbles-the-cat (as long as Tib-from-Monday does not gain or lose any parts during that
time).
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Roeck | 108
Entia successiva are Chisholm’s way of uniting strictly distinct objects into everyday continuants.
Chisholm believes that everyday objects persist through time in a loose sense of identity. Tibbles-onMonday is the “same” cat as Tibbles-on-Tuesday just as I play the “same” instrument as Yo Yo Ma.2
The renowned cellist and I do not share the exact same cello, but we play the same type of instrument, a
cello. An ens successivum is a collection of successive objects that gain and lose parts but are tied
together through a loose sense of identity. For example, Tibbles-on-Monday and Tibbles-on-Tuesday
(aka Tib-from-Monday) are numerically different entities, but they are loosely united within the ens
successivum Tibbles-the-cat. To maintain the cello analogy, Tibbles-on-Monday and Tibbles-onTuesday are like individual cellos but Tibbles-the-cat is like the category, cello.
Plantinga formalizes the criteria for both entia successiva and their constituents so we can better talk
about mereological essentialism. Each numerically different entity within an ens successivum is a
primary object. A primary object is an entity with only strict parts (S-part).3 If x is an S-part of y, then
Plantinga says x and y must fulfill three criteria:
(1) If y is an S-part of z, then x is an S-part of z;
(2) y is not an S-part of x; and
(3) y is such that in every possible world in which y exists, x is an S-part of y.4 For
example, his tail is an S-part of the primary object Tibbles-on-Monday because if
Tibbles-on-Monday were part of a larger entity, the tail would be part of that as well;
Tibbles-on-Monday is not a part of his tail; and Tibbles-on-Monday cannot exist without
his tail.
Even though Tibbles-on-Monday is a primary object, the ens successivum Tibbles is an ordinary object.
An ordinary object is an object that is made up of both S-parts and nonstrict parts.5 (Entia successiva are
all ordinary objects.) A nonstrict part of an ordinary object is a strict part of a primary object that
constitutes the ordinary object.6 For example, the tail that is an S-part of the primary object Tibbles-onMonday is a nonstrict part of the ordinary object Tibbles because Tibbles-on-Monday constitutes
Tibbles. A primary object constitutes an ordinary object if it takes up the exact same space as the
ordinary object.7
However, constitution does not entail identity. For example, the ordinary object Tibbles has the property
of being able to survive losing its tail while the primary object Tibbles-on-Monday does not. Therefore,
by Leibniz’s Law, the two entities are not identical, even though they take up the exact same amount of
space. Another way to think of the relationship between constitution and identity is to think of a river. If
a river is identical to the water molecules that compose it, then Heraclitus was right to say, “You can
never step into the same river twice.” However, we say that there is only one Ganges, Mississippi or
Potomac, regardless of which particular water molecules are present at any moment.
1.3: How does mereological essentialism solve the paradox of coincidence?
Now that we understand the basic tenets of mereological essentialism and how to talk about it, let us
examine how it attempts to solve the paradox of coincidence. Chisholm states that there are two ways
we can treat ordinary objects: either they do exist or they do not exist.8 If you accept that ordinary
objects exist, then you have not solved the paradox of coincidence. Chisholm asserts that if ordinary
objects do exist, they must be constituted by primary objects.9 In this case, both the ordinary object
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