I actually did an email interview with Rebecca Goldstein once. Yes really! You didn’t know that, did you. I’m not just some shlub with a blog. [struts] I did an interview with Rebecca Goldstein once.
Here.
Rebecca Goldstein has a new book out: Incompleteness: The Proof and Paradox of Kurt Gödel.
Readers at Science Daily call Incompleteness ’Outstanding’ and ‘Superb’.
Butterflies and Wheels: Alan Sokal and Jean Bricmont call chapter 11 of their book Fashionable Nonsense: Postmodern Intellectuals’ Abuse of Science: ‘Gödel’s Theorem and Set Theory: Some Examples of Abuse.’ They give a quotation from Régis Debray as an epigraph: ‘Ever since Gödel showed that there does not exist a proof of the consistency of Peano’s arithmetic that is formalizable within this theory (1931), political scientists had the means for understanding why it was necessary to mummify Lenin…’ The chapter’s first sentence starts, ‘Gödel’s theorem is an inexhaustible source of intellectual abuses…’
Sokal and Bricmont go on to quote more such abuses, from Debray, Alain Badiou, and Michel Serres, who wrote, ‘Régis Debray applies or discovers as applicable to social groups the incompleteness theorem valid for formal systems…’
Paul Gross and Norman Levitt examine literary critic (or ‘theorist’) Katherine Hayles’ musings on Gödel in Higher Superstition: ‘Hayles then cites the Gödel incompleteness result as the deathblow to the Russell-Whitehead program…This is intended to figure the movement away from post-Enlightenment ideals of “universal” knowledge to postmodern skepticism…’
Is this a widespread view of Gödel? Is it a view held solely by people who don’t actually understand Gödel’s work? Are there any mathematicians or logicians who think Gödel is a social theorist or a postmodernist?
Rebecca Goldstein: I’m not sure that there is a “widespread view of Gödel.” While I was writing “Incompleteness” and people asked me what I was working on these days, I usually drew a blank stare when I said his name. Sometimes mentioning the title of Douglas Hofstadter’s popular book, “Gödel, Escher, Bach,” brought on a faint gleam of recognition. So, by and large, Gödel – unlike his soul-mate, Einstein – is strangely unknown, and this anonymity is in itself something I wanted to address. I say in the book that Gödel is the most famous person that you probably haven’t heard of, and that if you’ve heard of him you probably have, through no fault of your own, an entirely false impression of what it was he did to the foundations of mathematics.
Which brings me to the crux of your question. Among “humanist” intellectuals who do invoke Gödel’s name, he is often associated with the general assault on objectivity and rationality that gained such popularity in the last century. I’d often find myself pondering which would be the preferable state of affairs regarding Gödel, anonymity or misinterpretation. Which would Gödel have preferred? I’m going to indulge in “the privileged position of the biographer” to presume I know the answer to the latter question, at least: Gödel, who was so passionately committed to the truth, would have far preferred utter oblivion to the falsifications of his theorems that have given him whatever fame he has in the non-mathematical world. [Read more…]