On Tue, Feb 9, 2021 at 5:50 AM stefan.reich.maker.of.eye via AGI <[email protected]> wrote: > > IF you have a set of mutually associative combinational operators, can you > > then isomorphically map the functions being combined into Hilbert space > > vectors to that the (associative) combinations map into vector operations? > > And this is a building block of AI?
I don't need such a mapping for any particular reason within my AGI approach, I'm just exploring the idea-space that YKY suggested.... The nature of math is one never knows where a new formalization may lead... I am working on a paper now summarizing some of the math I've found useful in the OpenCog Hyperon design process, which is different though related -- looking at how to express our various OpenCog cognitive algorithms in terms of Galois connections and chronomorphisms defined over metagraphs ... it's more discrete/algebraic/graph-theoretic math ... though of course all math is connected.. ben ------------------------------------------ Artificial General Intelligence List: AGI Permalink: https://agi.topicbox.com/groups/agi/T54594b98b5b98f83-Mfe76b072ea6bffc2c586b0ac Delivery options: https://agi.topicbox.com/groups/agi/subscription
