What are the main ideas and highlights of Gödel, Escher, Bach?

Gödel, Escher, Bach by Douglas Hofstadter describes and defines the concept of recursion, and discusses its applications in computer science, consciousness, art, music, biology and various other fields. Recursion is crucial to writing computer programs in a compact, elegant way, but it also opens the door to infinite loops and irreconcilable logical contradictions.

Improvising electronica

The other day Brian Eno was on NPR talking about his process. He likes to have people walk into the studio without any preconceived ideas or written out material. Then he has the musicians improvise within certain constraints. Usually these constraints are more about a mood or a vibe than a particular musical structure. After …

Kramer

Kramer is the name my mom’s father’s parents gave at Ellis Island because they thought it they might have an easier time with it assimilation-wise than Garfinkel. In Eastern Europe, if you want a WASP-y sounding name, you usually choose something German rather than British. My mom’s wing of her extended family calls itself the …

Be brave, go ahead and divide by zero

When you learned division in school, the teacher probably brushed off the issue of dividing by zero in one sentence: you can’t do it, moving on. You might feel like you got shortchanged by that explanation. Why not? What happens when you divide by zero?