Re: Am I a crank?
- From: schoenfeld.one@xxxxxxxxx
- Date: 30 Aug 2006 05:01:52 -0700
Han de Bruijn wrote:
schoenfeld.one@xxxxxxxxx wrote:
Then there is no experiementation. Mathematics is not an experimental
science, it is not even a science. The principle of falsifiability does
not apply.
Any even number > 2 is the sum of two prime numbers. Now suppose that I
find just _one_ huge number for which this (well-known) conjecture does
_not_ hold. By mere number crunching. Isn't that an application of the
"principle of falsifiability" to mathematics?
Falsifiability does not _need_ to apply in mathematics. In math,
statements can be true without their being a proof of it being true.
Likewise, they can be false.
In physics, a hypothesis is never true only verified xor false.
Han de Bruijn
.
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