GS Chandy
Posts:
7,617
From:
Hyderabad, Mumbai/Bangalore, India
Registered:
9/29/05


Re: Super Imaginary Numbers  What are they and how do they help?
Posted:
Sep 18, 2012 11:41 AM


Jonathan Crabtree posted Sep 18, 2012 9:24 AM: > ============================ > WHOLE numbers, addition and multiplication are among > the first things schoolchildren learn, but a new > mathematical proof shows that even the world's best > minds have plenty more to learn about these seemingly > simple concepts. > > Shinichi Mochizuki of Kyoto University in Japan <SNIP> > ============= > > The above extract is from a 15 September 2012 New > Scientist cover story titled, Super Imaginary > Numbers. > > While I read the full article, I neither understand > Shinichi Mochizuki's work nor the magnitude of his > breakthroughs. > I read another article about Mochizuki's work. I shall take a look at this one, in due course. > > Would someone please explain this all to me in a way > that makes some sense to a naïve mathematician? > > Thank you > > Jonathan Crabtree > > Here are the original papers currently being > studied... > > http://www.kurims.kyotou.ac.jp/~motizuki/Interuniver > sal%20Teichmuller%20Theory%20I.pdf > > http://www.kurims.kyotou.ac.jp/~motizuki/Interuniver > sal%20Teichmuller%20Theory%20II.pdf > > http://www.kurims.kyotou.ac.jp/~motizuki/Interuniver > sal%20Teichmuller%20Theory%20III.pdf > > http://www.kurims.kyotou.ac.jp/~motizuki/Interuniver > sal%20Teichmuller%20Theory%20IV.pdf > > You can register free and read the full article at > http://www.newscientist.com/article/mg21528823.800fie > ndishabcproofheraldsnewmathematicaluniverse.html > >  End of Forwarded Message > As noted earlier, I shall take a look at these articles in due course and see what I can make of them. (Don't hold your breath, as I'm afraid I understood very little of the other article I read; I had in fact asked a friend of mine currently researching into math to explain to me  but he has not come back to me).
Was it Shakespeare who wrote something apposite, to the effect: "There are more things in heaven and earth, Horatio, Than are dreamt of in your mathematics" ?
Ah yes, that was actually Hamlet, and the correct quotation is: +++ "And therefore as a stranger give it welcome.
"There are more things in heaven and earth, Horatio, Than are dreamt of in your philosophy" (not 'mathematics'). [Not *exactly* apposite, alas]. +++ Also, there was a wonderful short story by Jorge Luis Borges, title, I think, "There are more things".
Unfortunately, I find I've lost my only copy of Borges' book, which I would love to read again at this juncture.
GSC
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