Glen-
Sorry I didn't respond to this sooner... I had a hard time "getting around to" exploring TheoremDep (and ConcepDag) enough to comment (meaningfully?).
All I think Frank and Joe did was make a jump from TheoremDep the tool to imagining things one might do with the underlying ConcepDag data structure... "proof generation" I suppose.
I have my own "so what" homunculus. I have a BS in Math but definitely recognized that I would never be a "Mathematician". I appreciate the spirit and perspective of *real Mathematicians* and (sometimes) even respect their contributions when they are driven by curiosity or "because it is there" which sometimes anticipates the practical needs of Engineering and Science. The old fascination with why mathematics (as a pure abstraction) seems to line up so well with physical reality comes up again. I think there is some kind of anthropic principle involved? Do you have any parallax on this?
I would *also* like to try to lay out the ConceptDAG data structure with enough interactivity to do as you suggest ... removing a node and seeing what "breaks"... or possibly adjusting weights on the edges? I'm not clear there is a meaningful semantic to that, but as usual I'm interested in trying to get a "big picture". I did a project like this with the Gene Ontology in 2004 or so...
- Steve
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