I liked this chapter. It presents several building block concepts. I was, however, more "dry" than previous chapters.
I like the foreshadow concepts: 1) inside the set of all nontheorems are found some truths 2) outside the set of all negated theorems are found some falsehoods.
I enjoy the Escher art very much, but it doesn't "show" much to me. I am not able to interpret parallel concepts to the text in this book from the art.
This chapter discusses Figure and Ground in music too. I've worked with alot of software audio encoders. I know there are tricks due to the things our ears hear and can't hear. Encoding algorithms take advantage of this too. The Bach (audio) and Escher (visual) are starting to seem like tricks to fool the senses rather than holding deep meaning.
Again, chapter cliff-hangers: 1) The statement that prime numbers are figures rather than ground. 2) Turing's halting problem 3) "There exist recursively enumerable sets which are not rescursive."
I like the foreshadow concepts:
1) inside the set of all nontheorems are found some truths
2) outside the set of all negated theorems are found some falsehoods.
I enjoy the Escher art very much, but it doesn't "show" much to me. I am not able to interpret parallel concepts to the text in this book from the art.
This chapter discusses Figure and Ground in music too. I've worked with alot of software audio encoders. I know there are tricks due to the things our ears hear and can't hear. Encoding algorithms take advantage of this too. The Bach (audio) and Escher (visual) are starting to seem like tricks to fool the senses rather than holding deep meaning.
Again, chapter cliff-hangers:
1) The statement that prime numbers are figures rather than ground.
2) Turing's halting problem
3) "There exist recursively enumerable sets which are not rescursive."