Robert (Bob) Bosch - James F. Clark Professor of Mathematics at OBERLIN COLLEGE
Professor of Mathematics, Ohio Northern University (retired). Experimental Mathematics. Physics passionate. Mindfulness is agnostic. Views are my own.
January 28, 2022
January 26, 2022
January 19, 2022
January 11, 2022
Not your average Calculus class
Music in the service of improving mathematical learning in college. Hopefully it worked!
January 10, 2022
Natsume Soseki - winter haiku
Confined within doors
A priest is warming himself
Burning a Buddha statue.
– Natsume Soseki
January 4, 2022
Numerical essay on a theme of Borges
“You have wakened not out of sleep, but into a prior dream, and that dream lies within another, and so on, to infinity, which is the number of grains of sand. The path that you are to take is endless, and you will die before you have truly awakened.” ~Jorge Luis Borges
VARIATION at midnight (MC1, 1/4/22)
The "patient" (aspirant seeking enlightenment/zen) wakes up from subsequent dreams 0, 1, 2, 3, ....
Ideally this series of awakenings is part of an infinite dream ω
0, 1, 2, 3, ... ω
But the patient's awakenings are somehow bound to repeat in a mirror image - that is a second infinite series of awakenings, continuing with
ω+1, ω+2, ω+3,.... 2ω
And again,
2ω+1, 2ω+2, 2ω+3,.... 3ω
This gets repetitive - first series, second series, third series, sending the dreaming patient into a realization of an infinite series of infinite series of awakenings
ω, 2ω, 3ω, 4ω, .... that's a weird dream, followed by the higher order awakening ω^2...
Followed by ω^3.... by ω^4... which leads the aspirant to a "really big" awakening ω^ω. But this fractal-like karma is never ending, and asks for even higher order awakenings ω^(2ω), ω^(3ω), ω^(4ω), ... ω^(ω^2)
It's not over, of course. The aspirant is still deep in the big(er) dreamworld, and superior awakenings are necessary, the awakening ω^(ω^2) being followed by subsequent ω^(ω^3), ω^(ω^4), ω^(ω^5), and so on...
Getting closer to truth spirals in a seemingly highly repetitive (self-similar) pattern, due to the unfathomed depth of this persistent karma dream where deaths/dreams/awakenings are ordinals. So it must continue in a novel series of highly exponential dreams and corresponding awakenings: ω^(ω^ω), and after a long "while", ω^(ω^(ω^ω)), ω^(ω^(ω^(ω^ω))), ω^(ω^(ω^(ω^(ω^ω)))), ... that's the Never Ending Story that is always... not, or "is" emptiness - unlimited, a "forever young" in nature and method, creative emptiness (getting dizzy, should go to sleep now, ha ha).
December 28, 2021
December 22, 2021
Boosted
Right on the Winter solstice I got my Pfizer booster shot. Here I am back in my office. Below, an eerie image from Ada, the night before.
December 14, 2021
Brains as prediction machines - Quanta Magazine
To Be Energy-Efficient, Brains Predict Their Perceptions
`Results from neural networks support the idea that brains are “prediction machines” — and that they work that way to conserve energy.'
December 3, 2021
December 1, 2021
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