William wrote:

> The term "AI", especially in the 1990s, has a bad reputation among
> some people, due to having massively over-promised and
> under-delivered.  It  got hyped like crazy by both academics and
> companies at certain points in the past.    The term can -- in some
> cases -- cause some people who have been paying attention to CS
> research for a few decades (such as RJF) to cringe.
>
> For what it is worth, in recent years, there is a field that's been
> labeled "machine learning", (which is of course closely related to
> statistics, AI, etc.).  The term "machine learning" is generally
> viewed in a fairly positive light, since the practioners tends to make
> more limited claims, and have had some impressive recent successes
> (e.g., beating top human Go players, doing automatic language
> translation, etc.).

A very useful thing to know about the neural net type of machine
learning that has been enjoying success recently (due to deep learning
techniques) is there was a time around 2004 when even the top
researchers in the area such as Hinton and LeCun couldn't even get
their papers published because the broader machine learning community
thought neural net AI had been proven to be a failure. It wasn't until
deep learning researchers completely destroyed non-deep learning
competitors in the ILSVRC computer vision competition in 2012 that
these doubters were proven wrong.

Just as the majority of people were wrong about neural net-based AI
being ineffective, the majority of people are currently wrong about
logic-based AI being ineffective. PRESS is an excellent example
because it was one of the top AI programs that was developed during
the 1970s and 1980s, and it works very well. There are a number of
effective logic-based AI programs that have been developed since the
1970s which, like PRESS, have been mostly forgotten or ignored.

The machine learning type of AI is indeed currently meeting with great
success. However, most of this type of AI is of limited use in
education because it is unable to explain how it arrives at the
answers it provides. As Doug Lenat says, machine learning AIs can be
thought of as "idiot savants" that have no understanding of the areas
they are designed to work in. Logic-based AIs will become the dominant
kind of AIs in the future because this kind of AI does understand its
subject matter.



> My position: Ted, whatever you want to call it, many thanks for
> sharing your work with us Sage devs.  It is really potentially very
> valuable to possibly massively enlarge the range of people who might
> use Sage.  We sage devs have done relatively little in quite some time
> to enlarge the potential user base of Sage itself.

If a step-by-step equations solver that is based on PRESS does become
part of Sage, I think it is important to advertise the fact that some
of the most effective AI technology ever developed has been added to
Sage, and that it has the potential to teach many areas of mathematics
much more effectively than human teachers are capable of doing.

Ted

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