1) Frederick
the Great – King of Prussia - was an intellectual person and really loved music
(Compose and Play flute).Moreover, he was a big fan of Bach.
2) Johann
Sebastian Bach was really good in improvisation playing organ and creating
compositions that seems impossible to be composed. He was one of the greatest
composers of his time.
3) Isomorphism:
Describe the same information transforming it in something different.
Basically, present the information in a different manner but maintaining the
meaning.
4) The
Musical
Offering (Created by Bach in offering to Frederick) is a masterpiece
that goes beyond all rules used to compose fugues and canons.
5) Strange
loops: Start in somewhere, go forward or backward and then you reach the start
again (Notice that this result was not expected). Looks like a paradox, an
infinite loop that you never can escape.
6) Gödel
created the Gödel’s Theorem that basically can be summarized in: Transform the
numbers in characters or symbols, so you can have a group of symbols, or a
sequence. Give to this sequence a unique reference (Gödel number) and then you
can understand this sequence in two manners: declarations of number theory or declarations
of declarations of number theory.
7) Principia
Mathematica is the foundation
of mathematic. Gödel discovered that it is a half-finished system (Some rules/statements
cannot be proved or unproved) based in his Theorem.
8) Strange
loops are so constant in set theories that Russell saw a need to eliminate
them, creating a hierarchy for the groups. It was not a “100% correct” way
to solve that, but it solved in some way.
9) From
the beginning of the computer era people were already aware about the
risk/danger of creating an artificial intelligence (I share this feeling.)
10) Determine
an exactly border - A rule that with total assurance can separate two groups –
between intelligent and non-intelligent behavior is hard or probably
impossible.
I found
the chapter “Three-Part Invention” really mysterious and intriguing. The way
that the author presented the environment and the characters is quite
interesting. If you stop to think about what Zeno was talking about – his
theory “Motion Unexists” – and understand his paradox, like the Tortoise, you
may start to think that he was correct about the illusion of motion. In my
opinion, I think that this was the Author's point, make you to believe in
this, so you would look for an answer to proof if he was or was not wrong, like
Achilles. I am already in love with this book.
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