A leaf is green in spring and brown in autumn. The endurantist (three-dimensionalist) explains this by saying...
AThe green leaf and the brown leaf are numerically distinct objects that share a spatial location and origin
BThe leaf is wholly present at each time, and the property of being green is indexed to spring — it is green-at-t1 and brown-at-t2, which are not contradictory
CThe leaf's greenness was merely apparent; its fundamental intrinsic properties (mass, atomic composition) are unchanged
DProperties like color are not genuine properties of persisting objects; only relational properties can change over time
Endurantism (three-dimensionalism) holds that the very same leaf exists wholly at each time, but resolves the apparent contradiction by time-indexing properties. 'Green' and 'brown' are not simultaneous predications; they are relativized to different times. This contrasts with perdurantism, which avoids contradiction by making the green and brown stages literally different temporal parts. Option A describes the perdurantist's view (distinct temporal parts), and option C gets the endurantist wrong — they don't require physical properties to be unchanged, only that simultaneous contradictory predications be avoided.
Question 2 Multiple Choice
The Ship of Theseus has all its planks replaced one by one. Meanwhile, someone collects all the original planks and reassembles them. If our persistence criterion is spatiotemporal and functional continuity, which ship is the original?
AThe reconstructed ship, because material composition is what makes a ship the ship it is
BNeither ship — the original ship ceased to exist once the first plank was replaced
CThe continuously repaired ship, because it maintained spatiotemporal continuity and functional identity throughout
DBoth ships equally — identity claims about artifacts are simply indeterminate and have no correct answer
If spatiotemporal and functional continuity is the criterion, then the ship that was continuously maintained through gradual plank replacement wins — it never ceased to exist as a functioning ship and remained in the same location throughout. The reconstructed ship, despite having all the original matter, lost spatiotemporal continuity when the planks were scattered and reassembled. This thought experiment shows that different persistence criteria yield different answers — the 'right' answer depends on which criterion you endorse, and different object kinds may have different criteria.
Question 3 True / False
Four-dimensionalism (perdurantism) avoids the problem of change by denying that persisting objects genuinely change their properties.
TTrue
FFalse
Answer: False
Perdurantism does not deny change — it explains change by assigning contradictory properties to different temporal parts rather than to the same object at different times. The leaf genuinely changes color: the temporal part at t1 is green, the temporal part at t2 is brown. Change is real; it just occurs between temporal stages of the four-dimensional whole rather than being predicated of one thing at different times. What perdurantism denies is that one numerically identical thing simultaneously has contradictory properties — it resolves this by multiplying the entities (stages) that bear properties.
Question 4 True / False
According to the endurantist view, memory and psychological continuity are the primary valid criteria for personal persistence through time.
TTrue
FFalse
Answer: False
Endurantism is a general metaphysical view about how objects persist through time (wholly present at each moment), not a commitment to any specific criterion for what makes an object at t1 identical to an object at t2. The criterion depends on the kind of object. For persons, psychological continuity (memory, personality, connectedness) is popular. For ships, spatiotemporal and functional continuity is more plausible. Endurantism is compatible with any of these criteria — it is about the mode of persistence, not its ground.
Question 5 Short Answer
What is the core difference between endurantism and perdurantism, and which aspect of each view makes it better at handling change, and at what cost?
Think about your answer, then reveal below.
Model answer: Endurantism holds that an object is wholly present at each moment of its existence, persisting through time by existing in full at each time. It handles change by time-indexing properties (green-at-t1, brown-at-t2). The cost is that this indexing strategy may seem ad hoc and faces questions about the nature of these relativized properties. Perdurantism holds that objects persist by having distinct temporal parts at each time, like spatial parts at each location. Change is effortless: contradictory properties belong to distinct stages, not one thing. The cost is ontological profligacy — persisting objects become extended four-dimensional worms, and ordinary talk of 'the same car' requires reinterpretation as talk about a temporally extended aggregate.
The debate connects to deeper questions about what 'sameness' means and whether time is relevantly like space. Perdurantism makes time more symmetric with space (just as objects have spatial parts, they have temporal parts), which fits well with relativistic spacetime. Endurantism fits better with ordinary intuitions that we encounter the whole object at each moment, not just a slice of it. Neither view has a decisive knockdown argument — both face genuine challenges, and the choice often tracks broader theoretical commitments in metaphysics.