KingFatty
Diamond Member
- Dec 29, 2010
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See Zenon and his Grain of Millet paradox. There is no telling exactly how many grains is needed before you can hear them producing noise when hitting the ground.
Here are the solutions to the Grain of Millet "paradox". It's a nice analogy because just as our ears have a finite limit of hearing, I think our visual system has a finite limit to where you see the effect of low framerate, but get that framerate high enough and bam it's like butter/reality.
Actually, I wonder what the equivalent frames per second our eyes are capable of perceiving the real world?
Here are the two solutions to the paradox, and the second solution is more analogous I think because it relates to human perception of sound, instead of attacking the division fallacies of the paradox:
The Standard Solution to this interpretation of the paradox accuses Zeno of mistakenly assuming that there is no lower bound on the size of something that can make a sound. There is no problem, we now say, with parts having very different properties from the wholes that they constitute. The iterative rule is initially plausible but ultimately not trustworthy, and Zeno is committing both the fallacy of division and the fallacy of composition.
Some analysts interpret Zenos paradox a second way, as challenging our trust in our sense of hearing, as follows. When a bushel of millet grains crashes to the floor, it makes a sound. The bushel is composed of individual grains, so they, too, make an audible sound. But if you drop an individual millet grain or a small part of one or an even smaller part, then eventually your hearing detects no sound, even though there is one. Therefore, you cannot trust your sense of hearing.
This reasoning about our not detecting low amplitude sounds is similar to making the mistake of arguing that you cannot trust your thermometer because there are some ranges of temperature that it is not sensitive to. So, on this second interpretation, the paradox is also easy to solve. One reason given in the literature for believing that this second interpretation is not the one that Zeno had in mind is that Aristotles criticism given below applies to the first interpretation and not the second, and it is unlikely that Aristotle would have misinterpreted the paradox.
Taken from here:
http://www.iep.utm.edu/zeno-par/#SSH3ci
See section 3(c)(i)