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>13- For a measure to be a measure it needs to be: + UNIQUE + MONOTONIC or, at least + TRANSITIVE I'm not sure I buy this one. Intelligence is something that i
by briga 8y ago
>13- For a measure to be a measure it needs to be: + UNIQUE + MONOTONIC or, at least + TRANSITIVE
I'm not sure I buy this one. Intelligence is something that is inherently constructive in nature. Your knowledge and problem solving abilities build on themselves as you grow, so I don't think it makes any sense that IQ would stay the same throughout a lifetime.
Not to mention, I can think of many measures that don't fit these criteria. Height, weight, etc.
- mike00632 8y agoI didn't understand this either. What would it mean for a human measurement to be transitive or monotonic? Maybe there is a good definition for these but it's not obvious to me.
- pizza 8y agoI think he's using a measure-theoretic meaning of a measure. Suppose I asked you what the difference in intelligence is between person A and person B. The problems with that would start pretty rapidly.
- mike00632 8y agoSo by "transitive" he means "countably additive"? Monotonic and transitive aren't in the definition of measure and it's still not obvious what those definitions mean in terms of measuring people.