The book [1] contains the statements below; they have been
transcribed from scientific books, scientific papers,
and "serious" internet sites.
They are supposed to be consequences or illustrations of
Gödel's Incompleteness Theorem.
Enjoy!
- Gödel's Theorem demonstrates the necessity of faith.
- As demonstrated by Gödel, we cannot know that Mathematics is
consistent.
- As Gödel's proof has shown, the human mind can prove what
computers cannot.
- Gödel's Incompleteness Theorem shows that it is not possible
to prove that an objective reality exists.
- By Gödel's Incompleteness Theorem all information is innately
incomplete and self-referential.
- There are truths that Logic and Mathematics are powerless to prove.
- Nothing can be known for sure.
- Gödel's Incompleteness Theorem can be intuitively understood without
a mathematical approach and proof: the incompleteness concept appears
in clearly recognizable form in Zen Buddhism.
- By Gödel Theorem, the Bible is either incomplete or inconsistent.
----
[1] Torkel Franzén,
Gödel's Theorem: An Incomplete Guide to Its Use and Abuse.
A K Peters, Ltd.