29 - Zenos Paradox of the Arrow A r econstruction of the a...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Zeno’s Paradox of the Arrow A reconstruction of the argument (following Aristotle, Physics 239b5-7 = RAGP 10): 1. When the arrow is in a place just its own size, it’s at rest. 2. At every moment of its flight, the arrow is in a place just its own size. 3. Therefore, at every moment of its flight, the arrow is at rest. Aristotle’s solution The argument falsely assumes that time is composed of “nows” (i.e., indivisible instants). There is no such thing as motion (or rest) “in the now” (i.e., at an instant). Weakness in Aristotle’s solution: it seems to deny the possibility of motion or rest “at an instant.” But instantaneous velocity is a useful and important concept in physics: The velocity of x at instant t can be defined as the limit of the sequence of x ’s average velocities for increasingly small intervals of time containing t . In this case, we can reply that if Zeno’s argument exclusively concerns (durationless)
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

29 - Zenos Paradox of the Arrow A r econstruction of the a...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online