Thanks for the thought through response. Here's what I think in turn:
1. The g-factor premise is that a sufficiently complex test reveals an "underlying" intelligence factor and performance in it will be predictive of performance in other complex tests (whether that's Sudoku or life in general).
2. Mensa in the UK use the Cattell Culture Fair II test which strongly correlates with WAIS without the fanfare (i.e. it's just non-verbal puzzles). Triumph for g-factor, thus I discount your "battery of tests are better or somehow more revealing of the brains potential" argument.
3. One would expect that intelligence and rationality would correlate since it'll directly impact your ability to solve complex situations. It turns out that it doesn't, and I think a notion of arational or irrational intelligence is without sense.
4. However IQ does seem to correlate with the ability to "think quicker" and "cut out the noise". E.g. https://eu.usatoday.com/story/tech/2013/05/23/iq-vision-brai... . If you follow the thread, you'll find that it also comes with disadvantages (e.g. being less able to perceive slow change).
5. I'm using "Turing complete" as a dumb analogy to computing. Something that tests the range of things that you can solve, at any speed. To continue the analogy, if I'm a slow Turing machine but you're a lightening fast pushdown automata, fast as you might be within your domain, there's still a world of things that you can't solve that I can.
6. Anecdotally, I've observed that amongst my guys, being a bad-ass mathematician and being able to actually model or understand the world are separate skills. A narrow example, but an example nontheless, in my opinion Physics > Mathematics in terms of expressing the potential of a rational thinker precisely because it requires more "Turing machine".... to wit, consider all the maths that just never would have happened without the bad-ass physicists (again IMO exactly for the same reason stated).
1. The g-factor premise is that a sufficiently complex test reveals an "underlying" intelligence factor and performance in it will be predictive of performance in other complex tests (whether that's Sudoku or life in general).
2. Mensa in the UK use the Cattell Culture Fair II test which strongly correlates with WAIS without the fanfare (i.e. it's just non-verbal puzzles). Triumph for g-factor, thus I discount your "battery of tests are better or somehow more revealing of the brains potential" argument.
3. One would expect that intelligence and rationality would correlate since it'll directly impact your ability to solve complex situations. It turns out that it doesn't, and I think a notion of arational or irrational intelligence is without sense.
4. However IQ does seem to correlate with the ability to "think quicker" and "cut out the noise". E.g. https://eu.usatoday.com/story/tech/2013/05/23/iq-vision-brai... . If you follow the thread, you'll find that it also comes with disadvantages (e.g. being less able to perceive slow change).
5. I'm using "Turing complete" as a dumb analogy to computing. Something that tests the range of things that you can solve, at any speed. To continue the analogy, if I'm a slow Turing machine but you're a lightening fast pushdown automata, fast as you might be within your domain, there's still a world of things that you can't solve that I can.
6. Anecdotally, I've observed that amongst my guys, being a bad-ass mathematician and being able to actually model or understand the world are separate skills. A narrow example, but an example nontheless, in my opinion Physics > Mathematics in terms of expressing the potential of a rational thinker precisely because it requires more "Turing machine".... to wit, consider all the maths that just never would have happened without the bad-ass physicists (again IMO exactly for the same reason stated).