The Oracle of Arithmetic

Quanta ^ | 28 Jun, 2016 | Erica Klarreich

[Do the math]

My paper in analytic geometry has just been accepted, just need to make a few minor changes. After solving that particular problem, it made me think of at least ten new problems. Math is a never ending story. Number theory , to me, is the most difficult type of mathematics. I love mathematics.

[Arlis]

Blessed beyond words.......3 daughters as well, one just graduated from UVA with Distinction (all A’s while there last 2 years), Phi Beta Kappa - degree in Linguistics - she’s fluent in Spanish and Portuguese - as I am..........another a VERY successful realtor making the big bucks.....

And if in town, they all are usually home for Sunday night dinner!

Most importantly, all are strong Christians......

[AllAmericanGirl44]

bkmk

[SunkenCiv]

---

· String Theory Ping List ·

---

---

· Join · Bookmark · Topics · Google ·
· View or Post in 'blog · post a topic · subscribe ·

---

[LibWhacker]

Gödel's incompleteness theorem: no consistent system of axioms whose theorems can be listed by an "effective procedure" (i.e., an algorithm) is capable of proving all truths about the relations of the natural numbers (arithmetic). For any such system, there will always be statements about the natural numbers that are true, but that are unprovable within the system. (Wiki)

Furthermore, given there are some theorems that are so difficult they will in all likelihood never be proven -- even though they are true -- new mathematical methods will continue to be developed for as long as men are alive.

[DennisR]

Well, we really do not need a balanced budget per se. We need a LIMITED, balanced budget. In other words, the Feds take, say, 10% of our combined incomes - that is all they will be allowed to spend. If you use the “balanced budget” approach, they will just raise our taxes again to “balance the budget.”

[DennisR]

All well and good, but what is the practical application of this mathematical breakthrough? Just wondering...

[AdmSmith]

Thanks for the link, it takes more than some rainy days during the summer to read this. Perhaps it is better to start with this http://www.math.uni-bonn.de/people/scholze/CDM.pdf

[AdmSmith]

The text is very technical, but a good basic introduction is the 6 videos by Alan Macdonald starting with this https://www.youtube.com/watch?v=9qEST41kG6Q ...

then a few years study ...

and then off to https://www.youtube.com/watch?v=X2j2Md2DEBU

However, a good non-technical history of Mathematics is this 50 minutes video by John Dersch https://www.youtube.com/watch?v=YsEcpS-hyXw

[AdmSmith]

Sorry, the lecture starts at lecture 0 https://www.youtube.com/watch?v=srwoPQfWWS8

[Chode]

thx... will watch as time permits

[SunkenCiv]

Thanks AdmSmith.

[ckilmer]

You are an impressive man going and coming. kudos.

[Arlis]

No, but my kids are. Credit goes to their mom.....my still-beautiful-at-70, size 4 wife (after 8 kids) who was #1 in her large HS class.......

BTW - she didn’t want any children...... ;-)

You are kind.