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Neither did paint or televisions before someone invented them. The relationships that we give
numbers to exist, and the numbers we came up with to label those relationships certainly exist.
They exist as what they are, the written, spoken and thought about labels of those relationships.
It would be silly if your debate was asking--"Have numbers always existed as a physical thing?"
Numbers exist exactly as what they are meant to be, a spoken, written, and exponentially used
representation of a mathematical situations. Do situations exits? |
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1,2,3...what am I using to count? |
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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.
—Aristotle, Physics VI:9, 239b15
That which is in locomotion must arrive at the half-way stage before it arrives at the goal.
—Aristotle, Physics VI:9, 239b10
In the second one, the argument is that you must first get 1/2 of the way there, then 1/4, then 1/8,
for infinity.. I believe that you pass infinity, because infinity is less than, greater than, and
equal to infinity. If you choose the 2nd, (infinity is greater than infinity) then you CAN get to 1. |
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Of course they don't exist, they're just something man kind came up with to organise his
surroundings. But if numbers didn't exist then you wouldn't have been able to type that because
binary wouldn't allow it because it wouldn't exist! |
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Call the length of one step 1. Your starting point is zero. Just because the length of 1 can be
divided into infinitely small slices (actually maybe it can't the planck length may be the point at
which space begins to have texture) doesn't mean you can’t stride across those infinite divisions
in one step. |
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So how many squares are on a chess board then? |
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...unless you start at one.
P.S. This debate should be called "Numbers Don't Really Exist."
P.P.S. When I posted, this debate was called "Do Numbers Really Exist?" |
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09 Oct 2008 23:05
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