The Puzzle of the Statue and the Clay
The Puzzle of the Statue and the Clay
The Puzzles (Stanford Encyclopedia of Philosophy)
1. The Constitution View (P1 P2 ~C1):
- P1: David (the statue) did not exist on Monday.
- P2: Lump (the clay) did exist on Monday.
- C1: David is identical to Lump.
- Conclusion: Therefore, David is not identical to Lump (~C1).
This view, defended by Wiggins, Baker, and others, accepts the seemingly contradictory conclusion that David and Lump are distinct objects co-existing in the same space and time. They argue that constitution is a relation of dependence, where the statue is "nothing over and above" the lump of clay, but not a relation of identity.
2. Mereological Nihilism (P1 P2 ~C1):
- P1: There are no composite objects (only simples exist).
- P2: David and Lump are composite objects.
- C1: David and Lump exist.
- Conclusion: Therefore, David and Lump do not exist (~C1).
This eliminativist view, associated with Unger, denies the existence of both David and Lump, claiming that only fundamental, indivisible entities (simples) exist. The puzzle is dissolved by rejecting the existence of the objects that give rise to it.
3. Mereological Essentialism (P1 P2 C1):
- P1: The parts that compose David on Tuesday were present on Monday.
- P2: If the parts that compose David on Tuesday were present on Monday, then David existed on Monday.
- C1: David did not exist on Monday.
- Conclusion: Therefore, David did exist on Monday (~C1).
This eliminativist view, defended by Chisholm, posits that the whole is essential to the parts, meaning that whenever you have the same parts, you have the same whole. The puzzle is resolved by denying that David came into existence on Tuesday; rather, he existed on Monday as the same collection of parts that later compose the statue.
4. Dominant Kinds View (~P2 C1):
- P1: The lump of clay that existed on Monday (Lump) is not the same lump of clay that exists on Tuesday (Lump*).
- P2: Lump existed on Monday.
- C1: David is identical to Lump.
- Conclusion: Therefore, Lump did not exist on Monday (~P2).
This view, proposed by Burke, argues that objects have the persistence conditions of their dominant kind, which is the kind that entails the widest range of properties. Since "statue" dominates "lump of clay," the original lump ceases to exist when sculpted into a statue, and a new object (the statue) comes into existence.
5. Four-Dimensionalism (P1 P2 ~C1):
- P1: David and Lump share all the same temporal parts.
- P2: If David and Lump share all the same temporal parts, then they are identical.
- C1: David is not identical to Lump.
- Conclusion: Therefore, David and Lump do not share all the same temporal parts (~P1).
This view, advocated by Lewis and Sider, claims that objects persist through time by having different temporal parts at different times. David is a temporal part of Lump, existing only during the period when the clay has the form of a statue.