Unscientific Solution to Zeno's "Achilles and the Tortoise" Paradox
The reason I'm offering this solution is because it has been said that Zeno's paradoxes show that philosophy is not prior to science, thereby elevating science above philosophy and any metaphysical foundationalist claims laid against science, so as to avoid having to acknowledge the existence of anything metaphysical, which would prove the Naturalist worldview false.
So, I decided to see if I could solve Zeno's Paradox of Achilles and the Tortoise (which is essentially the same as his other two most prominent paradoxes).
Achilles and the tortoise
http://en.wikipedia.org/wiki/Zeno's_paradoxes#Achilles_and_the_tortoise
http://plato.stanford.edu/entries/paradox-zeno/#AchTor
First, the paradox presumes knowledge of what it means to be "quicker" and "to overtake", so one would be justified in asking what is meant by these terms. And in defining the terms, the solution to the paradox presents itself.
The solution is that the only relevant considerations involved in "overtaking" or being "quicker" are time and distance. It is not at all relevant that each point has an infinite number of in-between points, because speed is measured in distance traveled over time - not in in-between points;
And, again, this is something the paradox already presumes (in not so many words, so as to be deliberately vague), so it's not like I had to appeal to something beyond the supposed paradox.
The paradox is a bait and switch.
So, I decided to see if I could solve Zeno's Paradox of Achilles and the Tortoise (which is essentially the same as his other two most prominent paradoxes).
Achilles and the tortoise
"In a race, the quickest runner can never overtake the slowest, since the pursuer must first reach the point whence the pursued started, so that the slower must always hold a lead." -Wikipedia (see link below).
http://en.wikipedia.org/wiki/Zeno's_paradoxes#Achilles_and_the_tortoise
http://plato.stanford.edu/entries/paradox-zeno/#AchTor
First, the paradox presumes knowledge of what it means to be "quicker" and "to overtake", so one would be justified in asking what is meant by these terms. And in defining the terms, the solution to the paradox presents itself.
The solution is that the only relevant considerations involved in "overtaking" or being "quicker" are time and distance. It is not at all relevant that each point has an infinite number of in-between points, because speed is measured in distance traveled over time - not in in-between points;
And, again, this is something the paradox already presumes (in not so many words, so as to be deliberately vague), so it's not like I had to appeal to something beyond the supposed paradox.
The paradox is a bait and switch.
