> IQ isn't linear because it is not superposable. A 100 IQ person isn't twice as clever, within the definition of cleverness IQ measures, as someone with a 50 I

> IQ isn't linear because it is not superposable. A 100 IQ person isn't twice as clever, within the definition of cleverness IQ measures, as someone with a 50 IQ. You appear to be thinking of a uniform distribution as compared to a normal distribution. Nominally both height and IQ approximate a normal distribution (sans the infinite tails, leaving aside discrete ordinal bucketing). "Linear" (see the O.E.D. for example) is a word with many meanings, mostly pertaining to lines and things resembling a line. You can line up people by height or by IQ score, you cannot line up people by "intelligence", it's a partial order at best. > the distribution IQ rests on cannot be described by a line. You're the only one of us that connected the scalar IQ distribution to a line .. I've been aware of the central limit theorem for 45+ years now. The geometric analogy is that mapping people by intelligence to a line is a poor fit, to a plane or higher space would make more sense. As evidenced by this exchange.