August 9th, 2024

Infinite Proofs: The Effects of Mathematics on David Foster Wallace (2012)

David Foster Wallace's literary works, especially "Infinite Jest," incorporate mathematical concepts like fractals, exploring the complex relationship between mathematics and narrative while critiquing scholarly approaches to narrative analysis.

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Infinite Proofs: The Effects of Mathematics on David Foster Wallace (2012)

David Foster Wallace had a profound connection with mathematics, which influenced both his academic pursuits and literary works. He studied modal logic as an undergraduate and wrote extensively on concepts like infinity and set theory, notably in his book "Everything and More." His novel "Infinite Jest" is structured around mathematical principles, specifically modeled after a Sierpinski Gasket, a fractal that reflects chaos and beauty. This unconventional structure, while not overtly noticeable to readers, contributes to the novel's depth and complexity. The article discusses the interplay between mathematics and narrative, highlighting how Wallace's use of fractals may offer a new way to understand literature. It also critiques the attempts of various scholars to apply mathematical models to narrative analysis, suggesting that such approaches often miss the intrinsic qualities of storytelling. The anthology "Circles Disturbed" explores the historical relationship between mathematics and narrative, revealing how cultural contexts shape mathematical understanding. The debate between Platonism and Aristotelianism in mathematics is also examined, illustrating how these philosophical perspectives have influenced mathematical development over centuries. Ultimately, the article posits that while mathematics can provide structure, the essence of storytelling lies in its ability to surprise and engage readers.

- David Foster Wallace integrated mathematical concepts into his literary works.

- "Infinite Jest" is structured like a fractal, reflecting chaos and beauty.

- The relationship between mathematics and narrative is complex and often misunderstood.

- Historical perspectives on mathematics reveal cultural influences on mathematical thought.

- The philosophical debate between Platonism and Aristotelianism has shaped mathematical development.

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By @lordleft - 6 months
By @zkldi - 6 months
There's quite a lot of mathematical mistakes (obvious ones, even) in DFWs work. I'm not sure whether it's intentional or not, but given that he also makes mistakes in his nonfiction it might just be that he's not a great mathematician.

Like in TPK, 0/0 is Infinity and in IJ, Pemulis explains differentiation completely incorrectly, also that stuff about the mean value theorem is irrelevant?!?

Still one of the greatest authors; deep technical correctness is more of a Pynchon thing.

By @cypherpunks01 - 6 months
I haven't read the The Pale King, but I absolutely love the reading of this excerpt from the book. The protagonist recalls a speech by his substitute teacher in the Advanced Tax course - https://youtu.be/sJXrXf-0yoQ (10mins. no math). I do hope to tackle the book one day.
By @heraldgeezer - 6 months
I loved the movie "The end of the tour" https://www.imdb.com/title/tt3416744/

Would like to read but I dont know math.

I am also too addicted. I have had a book on my shelf for 2 years unread.

I listen to 1h of audio book and I love it and then I stop and loose the plot.

oh well.

By @motohagiography - 6 months
while I haven't read DFW, it was because I was suspicious of his motives even in the 90s. the article leads with how he studied "modal logic," as an undergrad, which I only know of as a tool from a theorist named Kripke to reason about systems of logic that don't need external consistency or to produce arithmetic. it was taught in cultural studies programs as a justifying rhetorical "what-aboutism" for neutralizing appeals to logic, a kind of critical theory of math to unmoor people from the authority of math or anything objective, and to guide them to adopting subjectivity. What made me suspicious of DFW was he seemed to be doing just another variation of what L. Ron Hubbard, Richard Wagner, Karl Marx, Osho, Nietzche, and other attempted inventors of religions were up to, and Kripke's modal logics are a tool for producing these logics-of-ideas, a way of writing new pop-ideologies the way we write songs. DFW seemed like a hipster demagogue to me.

another artist whose work may be more rigorous in representing ideas from math is Arvo Pârt. even though there are more concrete things in his work than DFWs that you can logically decode, derive, and then transform and expand on them, much of what I've read[1] is still a bunch of woo that uses talking about "math" as a kind of mystical jibjab to elevate other ideas. Pärt worked as a sound and radio engineer and there is some reason to believe he used that practical knowledge in composing, because the logic in the music is very explicit. (visible triangles and linear functions, he has provided sketches of, etc)

there's a difference between writing something that is a metaphor for a mathematical idea as a vehicle for something else, and something that directly encodes the idea where you could derive it again from the thing you've produced. Maybe DFW did that with the Sierpinksi gasket, but I don't get the sense from anyone that he did. I am not a mathematician at all, but I do think if the idea is not independent of the language or representation it's made in, it's just another metaphor and a vehicle for the author.

[1] https://www.cambridge.org/core/books/cambridge-companion-to-...

By @otteromkram - 6 months
Love DFW's Kenyon College commencement speech, but he wasn't all sunshine and rainbows[0]:

> In the early 1990s, Wallace was in a relationship with writer Mary Karr. She later described Wallace as obsessive about her and said the relationship was volatile, with Wallace once throwing a coffee table at her as well as physically forcing her out of a car, leaving her to walk home. Years later, she claimed that Wallace's biographer D. T. Max underreported Wallace's abuse. Of Max's account of their relationship, she tweeted: "That's about 2% of what happened." She said that Wallace kicked her, climbed up the side of her house at night, and followed her five-year-old son home from school.

Reference: [0] https://en.wikipedia.org/wiki/David_Foster_Wallace#Abuse_all...