06
Jan 10

Book Review: Logicomix

Ever since I heard about Logicomix, a graphic novel about the 20th century search for the foundations of mathematics, I was extremely excited to read it. And I’m happy to say that now I’ve finished it, it most certainly met, and exceeded, my rather high expectations.

First, I think it’s appropriate to explain what Logicomix is, and what it is not. First, it is a work of fiction. The authors are clear on this point, and explicitly spell it out in the epilogue. This graphic novel is meant to be a piece of art, not a pristine account of history. But its account of history will definitely give the reader an accurate outline of what happened in mathematics in the 20th century, even if the details aren’t entirely accurate, and even if certain liberties are taken in order to present a story which engages the reader in its narrative format.

Logicomix tells the story of 20th century mathematics by using Bertrand Russell as a narrator. The story is framed as a talk which Russell is giving to an audience directly before Britain’s entrance into World War II. He traces his life’s story from childhood through his work as an activist, and along the way we meet the familiar set of characters from that day, including Frege, Whitehead, Gödel, Wittgenstein, Cantor, etc.

The story is compelling. The authors, Apostolos Doxiadis and Christos Papadimitriou, do an amazing job of following Russell’s career, and of showing the personality and human struggle behind a quest centered around the abstract notion of truth. While most of the characters are obsessed with matters of the brain, the story also focuses on the heart as well. For instance, Logicomix does a good job explaining Russell’s obsession with madness, and his fear associated with it. There is also an aspect of meta-story in Logicomix, whereby the authors themselves appear throughout to drive home points and debate various tidbits of the story. This is an interesting aspect that mirrors to some extent Gödel’s meta-logical statements. I thought this was a good touch.

The art, done by Alecos Papadatos and Annie Di Donna, is stunning. As a material object, this graphic novel is beautiful. I’m a huge proponent of quality, and everything about the novel breathes quality. From the art to the color to the fonts to even the dimensions of the page and panels, Logicomix is extremely well engineered. Kudos to them both!

As a work of historical fiction, this story should appeal both to lovers of logic and mathematics as well as those who enjoy a fantastic story. The authors are using history to drive home what I believe to be an accurate and well-stated point, which I will not divulge here. If there are any flaws, I would point out two. First, Gödel is treated somewhat like a deus ex machina. Rather than providing more exposition into his life, the authors are content to have him come and go quite quickly, though I must admit that I LOVED the first panel in which he appears. It’s probably my favorite panel in the entire work. Secondly, there’s nothing about Turing, other than to mention him in the meta-story toward the end. One cannot truly understand logic without knowing something about computability. Granted, it seems that a sequel may be a possibility which begins with Turing and ends in the 21st century, but only time will tell. Until then, Logicomix comes as highly suggested.


06
Oct 09

Comics and Math

adaThere have been a few posts I’ve seen recently about math related comics. First, Boing Boing clued me into The Thrilling Adventures of Lovelace and Babbage, which is pretty much exactly what is sounds like. This webcomic gives some great info (both truth and pseudo-truth) about both Charles and Ada. Sydney Padua, the author of the comic, explains:

It’s a punchline.  As in “Wouldn’t it be hee-larious if there was a comic about Ada Lovelace and Charles Babbage fighting crime? Thanks, I’ll be here all week!”  The imaginary comic was the punchline to Lovelace: The Origin, drawn because my good buddy Suw Charman got me drunk started a Noble Enterprise called Ada Lovelace Day.

Secondly, Jim Holt wrote a book review last Sunday that introduced me to Logicomix, which the official website describes as follows:

Covering a span of sixty years, the graphic novel Logicomix was inspired by the epic story of the quest for the Foundations of Mathematics.

This was a heroic intellectual adventure most of whose protagonists paid the price of knowledge with extreme personal suffering and even insanity. The book tells its tale in an engaging way, at the same time complex and accessible. It grounds the philosophical struggles on the undercurrent of personal emotional turmoil, as well as the momentous historical events and ideological battles which gave rise to them.

The role of narrator is given to the most eloquent and spirited of the story’s protagonists, the great logician, philosopher and pacifist Bertrand Russell. It is through his eyes that the plights of such great thinkers as Frege, Hilbert, Poincaré, Wittgenstein and Gödel come to life, and through his own passionate involvement in the quest that the various narrative strands come together.

VERY cool. I’ll definitely be picking this up before too long. The art looks fantastic, and I’m sure the story matches up! Check out the review linked to above for a fuller introduction to the story.


06
Oct 09

Apology to Alan Turing

turingI’m rather late on the draw in regard to this note, but I just wanted to say that I was profoundly glad to hear that the Prime Minister of England released a letter of apology on September 10 recognizing Alan Turing for his monumental “contribution to humankind”, including work in computation, mathematics, and code-breaking.

Despite his contributions, Turing was convicted under English homophobic laws and sentenced to chemical castration. As PM Brown writes, “In 1952, he was convicted of ‘gross indecency’ – in effect, tried for being gay.” Given the choice between going to prison and undergoing hormone treatments, he chose the latter. Less than three years later Turing was found dead, apparently the result of a cyanide overdose. His death was judged to be a suicide.

While the note obviously cannot change the past, I’m glad to see the British government deliver the note. And I’m extremely proud of those individuals who lobbied the government to acknowledge this terrible mistake. Again, as PM Brown wrote, “So on behalf of the British government, and all those who live freely thanks to Alan’s work I am very proud to say: we’re sorry, you deserved so much better.” So very true.


06
Oct 09

Edgar Allan Poe and Cryptography

poeI’m trying to fill this autumn with plenty of seasonal activities, and so I’ve decided to try to read the complete works of Edgar Allan Poe during the month of October. I’ve also been reading some biographical information about the writer, and must admit that I had never heard about the cryptographic challenge that Poe issued to readers in the Alexander’s Weekly Messenger in December 1839. R. Morelli has a fantastic overview of this cipher challenge here. In sum, Poe proposed that “he could solve any simple substitution cipher that readers of the magazine cared to submit. A simple substitution cipher is one in which the same symbol stands for the same letter of the alphabet in the concealed message.”

It appears that Poe did very well with the challenge.

Also, fans of Poe’s writing will know about the short story The Gold Bug, and how this story of a treasure hunt relies on the solving of a cryptogram. Poe’s works are in the public domain, so it’s possible to read this story online through Google Books here, or to download the story (amongst others) from Project Gutenberg here.


09
Jul 09

Mathematical Typesetting in Wolfram Alpha

I came across a great little tip on David Bau’s blog today about using Wolfram Alpha to create quick GIF images of mathematical formulae to be included in a blog. For example, by typing “integrate sin x dx from x=0 to pi” into the Wolfram Alpha search box, you’re presented with both of graph of the curve as well as a typeset version:

wolframalpha2

wolframalpha1

I’ve written a few times about using LaTeX in Wordpress, but this is certainly an easy way to include typeset equations in a blog. I’m not sure why this hadn’t occurred to me when I first started playing with Wolfram Alpha, but I suppose that’s why people like David write great tips like this!