CH: Anyway there's low resolution, possibly unconfirmed, evidence that when we visualize images, we generate a cell activation pattern within the visual cortex that has an activation boundary approximating in shape the object being visualized. (This doesn't say anything about how the information is stored.)
My understanding is that it's pretty well accepted in neuroscience that the brain holds a lot of information in map form - that cell maps for example in (if I remember right) the hippocampus guide our navigation around rooms. This doesn't resolve our argument. But it does underline the obvious - that the brain is more likely to use direct comparisons of shapes in a great many visual operations than mathematical formulae that were only invented yesterday, so to speak, in evolutionary time.
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