neuralreckoning,
@neuralreckoning@neuromatch.social avatar

Naive question (maybe): Is there a definition of 'computation' akin to the mathematical definition of information (entropy/MI)? I don't mean Turing machines. e.g. something that could determine the extent to which a group of neurons/synapses are signalling versus computing?

joshuagrochow,
@joshuagrochow@mathstodon.xyz avatar

@neuralreckoning I don't think it's naive at all, in fact I think it is both interesting (both in the brain and in other biological, cultural, chemical, etc. systems) and quite difficult.

I think all definitions I've seen so far are subject to reductio ad absurdum of one form or another.

neuralreckoning,
@neuralreckoning@neuromatch.social avatar

@joshuagrochow same! I even suspect you could prove there was no definition that did all the things you might intuitively imagine it should.

joshuagrochow,
@joshuagrochow@mathstodon.xyz avatar

@neuralreckoning (Not the same question, but your comment reminds me of this paper by Blass, Dershowitz, and Gurevich, "When are two algorithms the same?", https://www.jstor.org/stable/25478250, wherein they argue that there is no notion of "sameness" of algorithms that captures all the thing we might intuitively want it to)

  • All
  • Subscribed
  • Moderated
  • Favorites
  • random
  • tacticalgear
  • DreamBathrooms
  • ethstaker
  • InstantRegret
  • Youngstown
  • magazineikmin
  • osvaldo12
  • slotface
  • khanakhh
  • rosin
  • kavyap
  • everett
  • thenastyranch
  • ngwrru68w68
  • JUstTest
  • GTA5RPClips
  • cisconetworking
  • mdbf
  • cubers
  • Durango
  • anitta
  • modclub
  • normalnudes
  • tester
  • Leos
  • megavids
  • provamag3
  • lostlight
  • All magazines