How we come to see distance
How can the eye tell how far away a thing is, when depth arrives at it as a single point with no length? Berkeley throws out the hidden geometry the optics of his day relied on.
Distance runs straight out from the eye, so it meets the retina as a single point that carries no clue to its length. The standard optics of the day, inherited through Kepler, tried to supply the missing information with unnoticed geometry — angles the mind was supposed to compute without knowing it. Berkeley, twenty-four and fresh from Trinity College, Dublin, threw the geometry out. We do not calculate distance, size and situation; the eye has no access to such angles. His problem is genuine and precise, and it forces a completely different account of how the given point of light becomes a seen world with depth.
- vision
- perception
- optics
- geometry
- distance
- magnitude
- mathematics
- distance perception
Enter a dialogue
- If distance meets the eye as a single point carrying no clue to its length, how do we ever judge it so reliably?
- An object brought close to the eye grows blurred and strains it. Blur and strain, for you, signal nearness. Why would a blur mean near?
- Mathematicians say we compute distance from the angle our two eyes make. You answer that nobody is aware of any such angle. Why should that count against them?
- Someone who sees clearly only up close would, on your account, judge a blurrier thing to be farther off. Why does your theory predict that reversal?