Questions: Composition and Principles of Composition in Mereology

Question 1

According to mereological universalism, which of the following 'objects' exists?

• A. Only objects that are causally unified, like organisms and machines
• B. Only objects recognized by natural language, like chairs and cars
• C. Any arbitrary collection of objects, including the Eiffel Tower, your left shoe, and a distant electron
• D. Only objects with determinate spatial boundaries

Answer: (C)

Universalism holds that for any collection of objects whatsoever, their mereological sum exists. There is no condition on causal unity, natural-language recognition, or spatial proximity. The view is deliberately ontologically extravagant — it accepts countless gerrymandered, arbitrary composites as the price of a clean, exceptionless theory. Universalists argue that 'existence is cheap' and that our intuitions about which composites seem natural are epistemological, not metaphysical.

Question 2

Van Inwagen's restricted composition view says composition occurs only when simples constitute a life. A critic argues this line is arbitrary. What is the strongest form of that objection?

• A. Organisms are made of atoms, so there are no lives and the view collapses to nihilism
• B. Any boundary between 'a life' and 'organized chemistry' faces the sorites problem — there will always be borderline cases where the criterion yields no clear verdict
• C. Organisms die, so the view cannot account for persistence through time
• D. The view is too parsimonious and should allow artifacts to compose wholes as well

Answer: (B)

Van Inwagen himself acknowledges this pressure. The sorites problem applies: draw the line at 'life,' and there will be cases (viruses? prions? self-replicating molecules?) where it is genuinely unclear whether composition occurs. Any restricted view must specify conditions that turn composition on and off sharply, but the world offers continuous variation. This is a structural objection to all restricted views, not just Van Inwagen's.

Question 3

Mereological nihilism holds that no objects exist at most, making it a form of global anti-realism.

• T. True
• F. False

Answer: False

Nihilism does not deny that simples exist — it denies that simples ever compose further objects. There are simples (fundamental particles or whatever the ultimate ontological atoms are), but no composites. What we call 'a chair' is many simples arranged chair-wise; the chair itself is not a further entity. So nihilism is not anti-realism about everything — it is anti-realist specifically about composite objects, while remaining realist about simples.

Question 4

Under mereological universalism, there exists an object composed of the Eiffel Tower and a particular grain of sand on a distant beach.

• T. True
• F. False

Answer: True

This is exactly what universalism commits to. Any two (or more) objects have a mereological sum — a further object whose parts are precisely those objects. This sum is not spatially connected, not causally unified, not named, and not interesting — but it exists. Universalists accept this consequence and argue the strangeness is in our intuitions, not in the ontology.

Question 5

Why does the question 'when do parts compose a whole?' have dramatic consequences for personal identity and persistence?

Model answer: The composition principle determines what objects exist. If nihilism is true, there are no composite objects — there is no persisting 'you,' only simples arranged person-wise at each moment, with no robust basis for identity over time. If universalism is true, countless arbitrary composites exist alongside persons, raising questions about which composite object 'you' are. Any restricted view must explain why biological organisms compose wholes but other organized systems do not — and that explanation shapes the conditions under which a person persists through bodily change.

Composition is upstream of almost everything in material ontology. Before you can ask how a person persists through change, you need to know whether persons (as composite objects) exist in the first place and under what conditions. The same goes for artifacts, institutions, and organisms. The composition principle is foundational, not peripheral.