It is too academic trough. But the idea can be expressed in simpler ways. This is an interview ith the author: ( In english at the middle of the article).
http://ilevolucionista.blogspot.com.es/2011/06/el-don-de-la-sistematicidad-entrevista.html I think that this may be the better match between categories of math and categories of philosopy and psichology. (and it may give certain support for a Tomistic philosophy of the existence of essences and reasoning by analogy) So this is appropritate for the starting topic of this discussion: from the wikipedia: http://en.wikipedia.org/wiki/Analogy Steven Phillips and William H. Wilson [18]<http://en.wikipedia.org/wiki/Analogy#cite_note-17> [19] <http://en.wikipedia.org/wiki/Analogy#cite_note-18> uses category theory <http://en.wikipedia.org/wiki/Category_theory> to mathematically demonstrate how the analogical reasoning in the human mind, that is free of the spurious inferences that plague conventional artificial intelligence models, (called systematicity<http://en.wikipedia.org/w/index.php?title=Systematicity&action=edit&redlink=1>), could arise naturally from the use of relationships between the internal arrows that keep the internal structures of the categories rather than the mere relationships between the objects. (called "representational states"). Thus, the mind may use analogies between domains whose internal structures fit according with a natural transformation<http://en.wikipedia.org/wiki/Natural_transformation> and reject those that don´t. 2012/7/18 Alberto G. Corona <agocor...@gmail.com> > It´s not only category theory, but category theory to solve te problem of > spurious inferences, of the type that plague tradicional neural networks > and semantic nets when they learn automatically things: for example: a car > may be red, therefore red flowers may consume fuel. > > Alberto. > > 2012/7/14 Stephen P. King <stephe...@charter.net> > >> On 7/14/2012 4:52 AM, Bruno Marchal wrote: >> >> >>> On 14 Jul 2012, at 07:48, Alberto G. Corona wrote: >>> >>> Stephen, >>>> >>>> I took a look at the book of Jon Barwise and it seems very interesting. >>>> This use of category theory with information seems promising. I´m >>>> interested in both: how the living beings transmit and use information to >>>> achieve homeostasis (maintain internal entrophy). And it seems that the >>>> mind use category theory to systematize and navigate this information: >>>> http://www.ploscompbiol.org/**article/info:doi/10.1371/** >>>> journal.pcbi.1000858<http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1000858> >>>> >>>> >>> Not to bad summary of category theory. A bit superficial on cognition, >>> though, imo. >>> >>> Bruno >>> >>> I agree! >> >> >> -- >> Onward! >> >> Stephen >> >> "Nature, to be commanded, must be obeyed." >> ~ Francis Bacon >> >> >> -- >> You received this message because you are subscribed to the Google Groups >> "Everything List" group. >> To post to this group, send email to >> everything-list@googlegroups.**com<everything-list@googlegroups.com> >> . >> To unsubscribe from this group, send email to >> everything-list+unsubscribe@**googlegroups.com<everything-list%2bunsubscr...@googlegroups.com> >> . >> For more options, visit this group at http://groups.google.com/** >> group/everything-list?hl=en<http://groups.google.com/group/everything-list?hl=en> >> . >> >> > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.com. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.
