I am a Strange Loop

 Books, Logic, Philosophy  Comments Off on I am a Strange Loop
Oct 042009
 

I have not read Douglas Hofstadter very thoroughly, but I have perused some of his work and I enjoy and recommend him. He whets the appetite for something more, which is a good thing. He stirs the passion of the subject… What am I? After reading large chunks of I am a Strange Loop, I [more …]

Godel’s Incompleteness Theorem

 Books, Logic, Math  Comments Off on Godel’s Incompleteness Theorem
Oct 042009
 

In the preface of his book, Everything and More: A Compact History of Infinity, the late David Foster Wallace talks about the power of abstraction to suck you into an abyss of insanity. Mathematicians, who deal in pure abstraction, are more prone to insanity than poets and artists, he claims. Trying to define the mathematical [more …]

The Meaning of Life

 Logic, Philosophy  Comments Off on The Meaning of Life
Oct 042009
 

What is the meaning of life? You may have heard this question before. (Have you guessed the riddle yet? – Mad Hatter, Alice in Wonderland) Of course not. Because this question is actually logically invalid. See category mistake (the philosophical error of putting a thing into a class to which it does not belong). You [more …]