Zeno's paradoxes highlight assumptions about what, rather than proving motion impossible?

Zeno's paradoxes highlight assumptions about what, rather than proving motion impossible?

• A. They rely on the assumption that space and time are discrete.
• B. They prove motion is impossible.
• C. Zeno's paradoxes highlight assumptions about continuity of space and time.
• D. They rely on infinite speed.

Answer: (C)

Zeno’s paradoxes hinge on how we treat space and time as continuous and endlessly divisible. They push us to ask what would happen if space and time can be split into infinitely many parts and yet the whole distance or duration is still finite. The puzzles don’t prove motion is impossible; they expose the assumption that infinite subdivisions must block completion. In reality, infinite series can add up to a finite value, so the time to traverse a distance can be finite even though there are infinitely many steps. That's why the best answer focuses on continuity and infinite divisibility of space and time. Discrete space/time would change the situation; motion isn’t shown to be impossible, and the idea of infinite speed isn’t what the paradoxes rely on.

Zeno’s paradoxes hinge on how we treat space and time as continuous and endlessly divisible. They push us to ask what would happen if space and time can be split into infinitely many parts and yet the whole distance or duration is still finite. The puzzles don’t prove motion is impossible; they expose the assumption that infinite subdivisions must block completion. In reality, infinite series can add up to a finite value, so the time to traverse a distance can be finite even though there are infinitely many steps. That's why the best answer focuses on continuity and infinite divisibility of space and time. Discrete space/time would change the situation; motion isn’t shown to be impossible, and the idea of infinite speed isn’t what the paradoxes rely on.