Dark Arts 101: Be rigorous, on average
I'm reading George Steiner's 1989 book on literary theory, Real Presences. Steiner is a literary theorist who achieved the trifecta of having appointments at Oxford, Cambridge, and Harvard. His book demonstrates an important Dark Arts method of argument.
So far, Steiner's argument appears to be:
- Human language is an undecidable symbol-system.
- Every sentence therefore carries with it an infinite amount of meaning, the accumulation of all connotations, contexts, and historical associations invoked, and invoked by those invocations, etc. Alternately, every sentence contains no meaning at all, since none of those words can refer to things in the world.
- The meaning of a sentence, therefore, is not finite or analyzable, but transcendent.
- The transcendent is the search for God.
- Therefore, all good literature is a search for God.
The critics quoted on the back of the book, and its reviews on Amazon, praise Steiner's rigor and learning. It is impressive. Within a single paragraph he may show the relationship between Homer, 12th-century theological works, Racine, Shakespeare, and Schoenberg. And his care and precision with words is exemplary; I have the impression, even when he speaks of meaning in music or other qualia-laden subjects, that I know exactly what he means.
He was intelligent enough to trace the problems he was grappling with out past the edges of his domain of expertise. The key points of his argument lie not in literary theory, but in information theory, physics, artificial intelligence, computability theory, linguistics, and transfinite math.
Unfortunately, he knows almost nothing about any of those fields, and his language is precise enough to be wrong, which he is when he speaks on any of those subjects. How did he get away with it?
Answer: He took a two-page argument about things he knew little about, spread it across 200 pages, and filled the gaps with tangential statements of impressive rigor and thoroughness on things he was expert in.
Too good to be true
A friend recently posted a link on his Facebook page to an informational graphic about the alleged link between the MMR vaccine and autism. It said, if I recall correctly, that out of 60 studies on the matter, not one had indicated a link.
Presumably, with 95% confidence.
This bothered me. What are the odds, supposing there is no link between X and Y, of conducting 60 studies of the matter, and of all 60 concluding, with 95% confidence, that there is no link between X and Y?
Answer: .95 ^ 60 = .046. (Use the first term of the binomial distribution.)
So if it were in fact true that 60 out of 60 studies failed to find a link between vaccines and autism at 95% confidence, this would prove, with 95% confidence, that studies in the literature are biased against finding a link between vaccines and autism.
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