Funny you ask - I'm just (re-)looking at this as well. I'd start with basic numbers (number 'theory' is too big a word) since they're fairly self-contained yet there's lots of 'unexpected' surprises when exploring them. Slowly move up the ladder going from integers all the way to irrationals introducing the basic math operators. However, this presumes that you have already introduced concepts such as sets and lists. Then I would move to number series (sequences) - do the stuff that Hofstadter did in his "Fluid Concepts and Creative Analogies". Remember that this required him & his team more than 60 conceptual constructs generally reflecting human thought processes (in his CopyCat program). He suggested that this area alone was a good subset - and representative - of human thinking in general (and I tend to agree to a certain extent with him). After that, I think I'd (I'll?) go with some more number theory (primes) and more complex structures of numbers (Fibonacci, matrices) leading to basic algebra. After that I don't know but if you get that far, I think you've cut it. Anyway - I would do the numbers (and sequences) in parallel with strings (to texts) as well as simple programming (which could lead to function analysis). Cheers - Jean-Paul
________________________________ From: Samantha Atkins [[email protected]] Sent: 25 March 2014 05:07 To: AGI Subject: [agi] AGI Math curriculum If you had the task of specifying a curriculum for those headed toward developing AGI what would the Math portion of that curriculum look like? What are in your view the most relevant areas to master and to what depth? AGI | Archives<https://www.listbox.com/member/archive/303/=now> [https://www.listbox.com/images/feed-icon-10x10.jpg] <https://www.listbox.com/member/archive/rss/303/5404257-22a42d7f> | Modify<https://www.listbox.com/member/?&;> Your Subscription [https://www.listbox.com/images/listbox-logo-small.png] <http://www.listbox.com> ________________________________ UNIVERSITY OF CAPE TOWN This e-mail is subject to the UCT ICT policies and e-mail disclaimer published on our website at http://www.uct.ac.za/about/policies/emaildisclaimer/ or obtainable from +27 21 650 9111. This e-mail is intended only for the person(s) to whom it is addressed. If the e-mail has reached you in error, please notify the author. If you are not the intended recipient of the e-mail you may not use, disclose, copy, redirect or print the content. If this e-mail is not related to the business of UCT it is sent by the sender in the sender's individual capacity. ------------------------------------------- AGI Archives: https://www.listbox.com/member/archive/303/=now RSS Feed: https://www.listbox.com/member/archive/rss/303/21088071-f452e424 Modify Your Subscription: https://www.listbox.com/member/?member_id=21088071&id_secret=21088071-58d57657 Powered by Listbox: http://www.listbox.com
