Hi Ben,

On Sun, Apr 2, 2017 at 3:16 PM, Ben Goertzel <[email protected]> wrote:

>  So e.g. if we find X+Y is roughly equal to Z in the domain
> of semantic vectors,
>

But what Jesus is saying (and what we say in our paper, with all that
fiddle-faddle about categories)  is precisely that while the concept of
addition is kind-of-ish OK for meanings  it can be even better if replaced
with the correct categorial generalization.

That is, addition -- the plus sign --is a certain speciific morphism, and
that this morphism,  the addition of vectors, has the unfortunate property
of being commutative, whereas we know that language is non-commutative. The
stuff  about pre-group grammars is all about identifying exactly which
morphism it is that correctly generalizes the addition morphism.

That addition is kind-of OK is why word2vec kind-of works. But I think we
can do better.

Unfortunately, the pressing needs of having to crunch data, and to write
the code to crunch that data, prevents me from devoting enough time to this
issue for at least a few more weeks or a month. I would very much like to
clarify the theoretical situation here, but need to find a chunk of time
that isn't taken up by email and various mundane tasks.

--linas

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