Zeno Of Elea

Want to read the rest of this paper? Join Essayworld today to view this entire essay and over 50,000 other term papers

and then half the
remainder, ad infinitum. This interval will shrink infinitely, but never quite
disappear. This type of argument may be called the antinonomy of infinite
divisibilty, and was part of the dialectic which Zeno invented.
These are only a small part of Zeno's arguments, however. He is believed
to have devised at least forty arguments, eight of which have survived until the
present. While these arguments seems simple, they have managed to raise a
number of profound philosophical and scientific questions about space, time, and
infinity, throughout history. These issues still interest philosophers and
scientists today.
The problem with both Zeno's argument and yours is that neither of you deal
with adding the infinite. Your argument suggests that if one adds the infinite,
the sum will be infinity, which is not the case. If the numbers are shrinking
infinitely at the same rate, then eventually they will equal a certain number,
not infinity as both Zeno's ...

Get instant access to over 50,000 essays. Write better papers. Get better grades. Already a member? Login

CITE THIS PAGE: