IBDaMann
Well-known member
An integer solution is a "something".nonexistence of an integer solution.
That's exactly the kind of example it is.is not the same as just nonexistence of something
You and I do, but let's keep that our little secret.we know fractions exist.
Very much so. I recommend you read about Fermat's theorem because he stated the theorem without giving the world the proof before he died. Humanity spent centuries searching for a single integer solution to prove the theorem false. Upon the advent of computers, many have been dedicated to the attempt to bust Fermat's theorem.it seems cool though.
Finally, in the 1990s, a new branch of mathematics was created, elliptic curves. Fermat's theorem is proven using this new math. The NSA said "Awesome! Since no solution exists, we can make virtually unbreakable encryption using this principle!"
... and thus the unbreakable elliptic curve encryption came to be.
It really isn't. Math is an example of a closed functional system. Of course nonexistence can be proven within such a context. This is where you got tripped up. You were focused on science, an open functional system, in which nonexistence cannot be shown, and no law of nature can be confirmed to be true.and it really its above my grade.
It does. It's just that the moment you see the word "proof" (or "prove"), you should realize that the context has turned to a closed functional system, and lots of neat stuff has been proven in math.but just as you explain it, it seems to not fulfill our conditions.