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The biological bases of mathematical competences
- iwwr 15y agoDo these conjectures point to a qualitative difference in the human species, as compared to other animals? i.e. syntax-based vs. pattern-based processing Can we equate it as the ability to conceptualize a Turing machine? This would be the same as the ability to follow arbitrarily complex instructions, given enough time and memory.
- gwern 15y ago> Can we equate it as the ability to conceptualize a Turing machine? This would be the same as the ability to follow arbitrarily complex instructions, given enough time and memory. I don't quite follow (who is being compared to whom?), but FWIW, humans are not always very good problem-solvers. There is a very obscure vein of research developing IQ tests which are basically just Turing machines; see http://www.vetta.org/2011/11/aiq/ http://www.vetta.org/2011/11/aiq/ - one of whose developers says: > There is an agent called Manual.py in there. It’s pretty primitive, but I did use it to see how well I could do. I seem to recall that I was around 70… but I didn’t manage enough samples to get a good statistic (I spent a few hours doing it before I started going crazy). Anyway, if you’re used to using Python I’m sure you can hack up something better…
- shocks 15y agoI will definitely attend this, looks very interesting!