blog idea zeno's arrow
Winter Session 2 explicitly named this: “Don’t think about achieving a final shape or perfect form. This makes you move differently and misses the point of the practice. Think about the movement task.” This reframing was needed early because participants from other disciplines default to visual matching of the instructor’s position.
Zeno’s arrow paradox argues that motion is an illusion because an object in flight, such as an arrow, is stationary at every individual instant of time.
While this is often framed as Zeno’s mistake that was disproved by Aristotle and physics/mathematics, Zeno was actually onto something phenomenologically real. Movement can be imagined as an infinite number of intermediate states, but this never happens in practice.
Key Arguments of the Paradox:
- The Instant: At any given moment, the arrow is in a place just its own size, meaning it is not moving to where it is not, nor to where it is.
- No Time Elapses: Because an instant is “durationless,” no motion can occur during that instant.
- Sum of Instants: If the entire flight consists only of these motionless instants, the arrow must be at rest throughout its entire flight.
Proposed Solutions:
- Aristotle: Rejected the idea that time is composed of discrete “instants,” arguing instead that time is continuous.
- Calculus/Modern Physics: Modern mathematics, particularly calculus (limits), shows that instantaneous velocity is not zero simply because the time interval is infinitesimally small. Motion is understood as a continuous function of time rather than a series of frozen states]
What relates to Baseworks: even though superficially “Don’t think about achieving a final shape or perfect form.” may sound like it rejects the idea of poses/asanas in yoga practice - because this is what superficial Baseworks may look like - this actually relates to the scientifically grounded idea that movement is an unconscious process - that movement execution is handled automatically, following a vector which is trying to change the current position to the end position, to zero. according to Steven Grossberg there is no resonance in this process so it’s not a conscious process