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Kurt Gödel and Revolution in Mathematics

questfortruth

Well-Known Member
Gödel's work is right, but useless.

Gödel's incompleteness theorems say that there are
statements that are true but cannot be proven.
For example, the Riemann Hypothesis is -probably-
unprovable. However, the claim "Riemann Hypothesis
is true" might be true. Therefore, Gödel's result
should be rewritten: "there are statements that might be true,
but -probably- cannot be proven true." So, Gödel's result is nothing new,
nothing revolutionary.
 
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Revoltingest

Pragmatic Libertarian
Premium Member
Therefore, Gödel's result
should be rewritten: "there are statements that might be true,
but -probably- cannot be proven true." So, Gödel's result is nothing new....
You should inform all the mathematicians
that he & they are wrong.
With your proof included, of course.
 

Revoltingest

Pragmatic Libertarian
Premium Member
Me too.
Problem with numbers is they are
always too big or too small.
You can never be too rich or too short.

(Contrary to my dissing short folk, I do
find them superior in a technological
society. They're more efficient.)
 

icehorse

......unaffiliated...... anti-dogmatist
Premium Member
Gödel's work is right, but useless.

Gödel's incompleteness theorems say that there are
statements that are true but cannot be proven.
For example, the Riemann Hypothesis is -probably-
unprovable. However, the claim "Riemann Hypothesis
is true" might be true. Therefore, Gödel's result
should be rewritten: "there are statements that might be true,
but -probably- cannot be proven true." So, Gödel's result is nothing new,
nothing revolutionary.

If you're TRULY interested in these ideas, I highly recommend a book called "I am a Strange Loop". The book spends a lot of time explaining the incompleteness theorems and just how useful they are :)
 

Evangelicalhumanist

"Truth" isn't a thing...
Premium Member
If you're TRULY interested in these ideas, I highly recommend a book called "I am a Strange Loop". The book spends a lot of time explaining the incompleteness theorems and just how useful they are :)
Quite right. Hofstadter is really something of a genius. I've read all his work, though I confess have to struggle harder to read it than he did to write it.
 

icehorse

......unaffiliated...... anti-dogmatist
Premium Member
Quite right. Hofstadter is really something of a genius. I've read all his work, though I confess have to struggle harder to read it than he did to write it.

I've tried several times to make my way through G.E.B. I've never read it all. But I found I could keep up with Strange Loop, and it was awesome. There are ideas in that book that have permanently changed how I view the world.
 
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