John, All ...
One for the Eternal Return file ...
Hemispheric functioning was a hot topic back in the 70s
and Susan Awbrey did her dissertation on a related topic.
She consulted with Benoit Mandelbrot and got his permission
to use a series of his fractal figures which he estimated as
ranging in their fractal dimensions from simple to complex.
These were shown to human subjects and their EEGs measured
to see whether different figure boundary dimensions elicited
different patterns of hemispheric functioning. One obstacle
at the time was that machines for automated Fourier analysis
of EEGs were just becoming available and the Big Money Labs
On Campus monopolized them rather jealously, so her team had
had to do all that by hand ... today there's apps for that,
of course ...
Regards,
Jon
Reference
=========
Awbrey, Susan Maureen Jencks (1980).
The Effect of the Hausdorff-Besicovitch Dimension of
Figure Boundary Complexity on Hemispheric Functioning.
Ph.D. Dissertation, Michigan State University, USA.
Order Number: AAI8101077. ( https://dl.acm.org/doi/book/10.5555/909649 )
ProQuest Dissertations: ( https://search.proquest.com/docview/303013470 )
On 7/7/2020 11:08 AM, John F. Sowa wrote:
The following article is relevant to our recent discussions about
mathematics, logic, and reasoning in words.
"Cortical circuits for mathematical knowledge: evidence for
a major subdivision within the brain's semantic networks"
Marie Amalric and Stanislas Dehaene
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5784042/pdf/rstb20160515.pdf
Abstract: Is mathematical language similar to natural language?
Are language areas used by mathematicians when they do mathematics? And
does the brain comprise a generic semantic system that stores mathematical
knowledge alongside knowledge of history, geography or famous people?
Here, we refute those views by reviewing three functional MRI
studies of the representation and manipulation of high-level mathematical
knowledge in professional mathematicians. The results reveal that brain
activity during professional mathematical reflection spares perisylvian
language-related brain regions as well as temporal lobe areas classically
involved in general semantic knowledge. Instead, mathematical reflection
recycles bilateral intraparietal and ventral temporal regions involved in
elementary number sense.
>
Even simple fact retrieval, such as
remembering that ‘the sine function is periodical’ or that ‘London buses
are red’, activates dissociated areas for math versus non-math knowledge.
Together with other fMRI and recent intracranial studies, our results
indicated a major separation between two brain networks for mathematical
and non-mathematical semantics, which goes a long way to explain a variety
of facts in neuroimaging, neuropsychology and developmental
disorders.
>
These issues are related to the slides about Peirce,
Polya, and Euclid: http://jfsowa.com/talks/ppe.pdf
John
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