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wcrichton's profile
Will Crichton
Will Crichton
Will Crichton
@wcrichton

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Will Crichton

@wcrichton

Articulating the ineffable. Programming language theory 🤝 cognitive psychology. PhD @Stanford

he/him
willcrichton.net
Joined September 2011

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    1. Will Crichton‏ @wcrichton Aug 22

      Crazy how much neuropsychology relies on people with rare mental conditions to learn things!pic.twitter.com/TIP30EF7ox

      1 reply 1 retweet 12 likes
      Show this thread
    2. Will Crichton‏ @wcrichton Aug 22

      @sarah_zrf this you?pic.twitter.com/WRosuVKKL1

      2 replies 1 retweet 5 likes
      Show this thread
    3. rntz‏ @arntzenius Aug 23
      Replying to @wcrichton @sarah_zrf

      Hm, this smells super sus. For instance, in some sense (a^3 = aaa) is the same calculation as (3 = 1+1+1); and any "concrete" calculation can be made "abstract" by multiplying both sides by x. Looks like Dehaene 1997 refers to “The Number Sense”? I wonder what is said there...pic.twitter.com/319oLpemOy

      1 reply 0 retweets 6 likes
    4. rntz‏ @arntzenius Aug 23
      Replying to @arntzenius @wcrichton @sarah_zrf

      I haven't yet found the citation for the preceding tweet, but I have for the reference at the beginning of thread, and it is *fascinating*. Seriously considering buying “The Number Sense” now.pic.twitter.com/IKY5LciW8B

      1 reply 1 retweet 3 likes
    5. rntz‏ @arntzenius Aug 23
      Replying to @arntzenius @wcrichton @sarah_zrf

      Oh, wait, this isn't actually any of the citations given upthread. Still, fascinating, and more plausible than a naive "abstract" vs "concrete" dichotomy.

      1 reply 0 retweets 2 likes
    6. rntz‏ @arntzenius Aug 23
      Replying to @arntzenius @wcrichton @sarah_zrf

      Found the citation I was looking for originally. Unfortunately it's not nearly as well described as the case of Mr. N above, and is basically an (undated!) reference to someone else's work (Margarete Hittmair-Delazer). Ugh, citation chains.pic.twitter.com/KOfFbvvYrL

      1 reply 0 retweets 1 like
    7. rntz‏ @arntzenius Aug 23
      Replying to @arntzenius @wcrichton @sarah_zrf

      The underlying case study is “Impaired Arithmetic Facts but Intact Conceptual Knowledge”, https://www.sciencedirect.com/science/article/abs/pii/S0010945213801128?dgcid=api_sd_search-api-endpoint …. Of note, none of the example algebraic/principle-testing tasks involve quantities larger than 3. I wonder if a^3 a^2 = a^5 would have succeeded? My guess is no!pic.twitter.com/rDhxrwtc6O

      1 reply 0 retweets 2 likes
    8. rntz‏ @arntzenius Aug 23
      Replying to @arntzenius @wcrichton @sarah_zrf

      So rather than completely disjoint “algebraic” vs “arithmetic” calculation, I'd say one can lose access to addition & multiplication tables without losing the counting sequence 1,2,3,... or other "algebraic" arithmetic rules (a+b=b+a, a^x a^y = a^(x+y)).

      1 reply 0 retweets 2 likes
      Will Crichton‏ @wcrichton Aug 23
      Replying to @arntzenius @sarah_zrf

      Love the scientific sleuthing :-) agree generally that some of the inferences here seem suspect. The point about rote vs algorithmic knowledge is also supported elsewhere in the text:pic.twitter.com/DKlN0uRoA7

      10:04 AM - 23 Aug 2021
      • 2 Likes
      • full internal subcategory of the sarahzrf topos rntz
      0 replies 0 retweets 2 likes

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