Icosian Reflections

…a tendency to systematize and a keen sense

that we live in a broken world.

IN  WHICH Ross Rheingans-Yoo—a sometime quantitative trader, economist, expat, EA, artist, educator, and game developer—writes on topics of int­erest.

Impressions: Freakonomics

On my flight Boston-Keflavik, I picked up Freakonomics, by Levitt and Dubner. It was a fun read that I highly recommend. But a few things struck me about it, so I figured I'd write them down rapid-fire.

There's also a much longer about-Christmas post in the works, but it might not be out until tomorrow.

(1) "Despite [his] elite credentials, his approach is notably unorthodox."

I'm not sure what bothers me more: the widespread stereotype that eliteness is inextricable from orthodoxy, or my sinking suspicion that it's not entirely false.

(2) "He is ... an intuitionist."

In mathematics, "intuitionism" is a bit of a dirty word. In layman's term's, an intuitionist rejects the idea that a double negative is a positive, and so considers as invalid the logic:

1) Either A or B is true.
2) A is false.
3) Therefore, B is true.

It's appealing, because disallowing proofs by contradiction of the negation (i.e. the above form) means that every proof of "X exists" necessarily gives a mathematical construction of X. By contrast, traditional, analytic logic sometimes produces proofs that some object, logically, must exist -- but no indication of how one might make/find/imagine it.

It's widely derided because basic logical maneuvers are excluded, and so many 'intuitive' results can't be proven at all! As a professor of mine once lamented: "[Luitzen] Brouwer became famous for his proof of the fixed-point theorem, but then he became an intuitionist and never did anything useful again."

Anyway. Words have interesting meanings in different contexts. More recently: a friend and I were having a discussion about Humanism, and eventually realized

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