Phil, (01)
Spatial reasoning is the foundation for all reasoning, including
linguistic. In fact, child thinking begins with spatial thinking. (02)
> Spatial reasoning is another area for future research... (03)
Temple Grandin is an autistic woman who was slow in learning to speak.
She thinks almost entirely in images, and she has great difficulty
in understanding abstractions. (04)
I recommend her TED talk about ways of thinking: (05)
http://www.ted.com/talks/temple_grandin_the_world_needs_all_kinds_of_minds (06)
Mathematical notation is based on linguistic patterns, but spatial
reasoning is fundamental to mathematical reasoning and discovery.
Formal proofs are based on notation, but they're "housekeeping" for
publication, not discovery. For discussion, see slides 2 to 10 of (07)
http://www.jfsowa.com/talks/micai.pdf
Why has AI failed? And how can it succeed? (08)
John (09)
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