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bio website isomorphismes.tumblr.com
location Great Cacapon, WV
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visits member for 3 years, 4 months
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ὰγεωμὲρητος μηδϵὶς ϵἰσίτω

The philosopher kings of Plato's Republic were to learn Geometry at the acme of their preparation to rule. The reasoning was not only due to Plato's geometrical view of Nature but also his view of abstraction.

Without taking sides on this particular philosopher—how much more would he have valued modern geometry? I'm interested in learning mathematics from this perspective: experiencing how "the most different" human language influences my thoughts about the everyday world.

(By the everyday world I mean love, money, and human diversity — things that seem far away from serious professional text.) In particular I'd like to be able to think up novel and creative ideas about non-mathematical things, using modern mathematical shapes.

Besides this broad personal project, I am also interested in applying modern mathematics to economic theory.


Mar
31
comment Is there something like a Heyting Ring?
Don't join and meet each constitute group operations?
Mar
25
revised What are some examples of colorful language in serious mathematics papers?
corrected spelling
Mar
23
answered How does an academic mathematician educate him/herself about job opportunities outside academia?
Feb
15
comment How to respond to “I was never much good at maths at school.”
The stronger I bear in mind that my goal is to connect with someone and not to defend maths, the better I do. I look for any possible response except disagreeing with them. Also—someone who hates "maths" doesn't hate "representation theory" or "topology". "I think about knots all day" sounds much better than "Every day of my life is like the homework you hated". If it must be broached, I would emphasise the total lack of overlap between what I love and what they were forced to do as a youth.
Feb
15
awarded  Commentator
Feb
10
revised Why tropical geometry?
…no…I was wrong.
Feb
10
comment Is there a mathematical axiomatization of time (other than, perhaps, entropy)?
In "The Wild Book", John Rhodes axiomatises time simply as a repeated map in a semigroup. He waxes poetic about the non-invertibility as ashes in urns are no longer a person, nor can we go back and re-live good moments or undo bad decisions.
Feb
9
revised Why tropical geometry?
Tropical geometry is the minimum, no?
Jan
21
revised Why is the gradient normal?
wording sounds a bit off on rereading
Jan
17
revised Why is the gradient normal?
added 307 characters in body
Jan
17
answered Why is the gradient normal?
Jan
17
revised What's your favorite equation, formula, identity or inequality?
It appears the OP has fixed the issue.
Jan
17
revised What is convolution intuitively?
overbright / correct height of boxcar
Jan
17
revised What is convolution intuitively?
PS
Jan
17
answered What is convolution intuitively?
Jan
16
comment why is it so cool to square numbers? (in terms of finding the standard deviation)
I guess PCA involves rotation...
Jan
14
awarded  Critic
Jan
14
comment why is it so cool to square numbers? (in terms of finding the standard deviation)
I hope that (over four years later) someone will return to this classical question. There seems to be something special about the number $p=2$ in $L_p$ norms. What is it? Flatness? Something exotic? (whatever makes Gleason's theorem work?) It seems to me that whatever makes $2$ special is independent of the CLT. It would be disappointing if the Gaussian assumption is the final reason for $p=2$.
Jan
14
comment why is it so cool to square numbers? (in terms of finding the standard deviation)
What does "rotation" mean in statistics? It's clear in physics why we should prize rotation-invariance, but if our three measurements of a person are the length of their surname + their height + their wealth, then I would only compute SD 1-dimensionally.
Jan
14
awarded  Excavator