Zeno's paradoxes illustrate which type of assumption?

Zeno's paradoxes illustrate which type of assumption?

• A. Continuity of space and time
• B. Discreteness of motion
• C. Randomness of time
• D. Finite speed

Answer: (A)

Zeno's paradoxes rest on treating space and time as continuous and infinitely divisible. If you can split every distance into endlessly many smaller parts and keep subdividing time into ever finer instants, you can imagine an infinite sequence of steps occurring within a finite amount of time. This setup makes motion seem impossible or paradoxical, because completing infinitely many tasks in a finite interval contradicts our everyday intuition. If space and time were discrete, with smallest possible units, those infinite subdivisions wouldn’t exist and the paradoxes wouldn’t arise in the same way. The assumption being illustrated is the continuity of space and time.

Zeno's paradoxes rest on treating space and time as continuous and infinitely divisible. If you can split every distance into endlessly many smaller parts and keep subdividing time into ever finer instants, you can imagine an infinite sequence of steps occurring within a finite amount of time. This setup makes motion seem impossible or paradoxical, because completing infinitely many tasks in a finite interval contradicts our everyday intuition.

If space and time were discrete, with smallest possible units, those infinite subdivisions wouldn’t exist and the paradoxes wouldn’t arise in the same way. The assumption being illustrated is the continuity of space and time.