Can we represent pi as a dedeking cut in the rationals

  • Thread starter Thread starter Khichdi lover
  • Start date Start date
  • Tags Tags
    Cut Pi
Khichdi lover
Messages
5
Reaction score
0
Hi , I only recently read the construction of reals from rationals.

I could grasp that \sqrt{2} can be represented as the set of rationals given by
{x\in Q : x2 < 2 } . As we know this set is defined purely in terms of Q.

Is there a dedekind cut representation for pi as well ?

I read somehwhere that not all reals can be defined. But since pi is defined , what would it's dedeking cut representation be?
 
Physics news on Phys.org
Thread closed by user request.
 

Thread 'Here's a Statistics problem for game of Polo (or Hockey if you like)'

Namaste & G'day Postulate: A strongly-knit team wins on average over a less knit one Fundamentals: - Two teams face off with 4 players each - A polo team consists of players that each have assigned to them a measure of their ability (called a "Handicap" - 10 is highest, -2 lowest) I attempted to measure close-knitness of a team in terms of standard deviation (SD) of handicaps of the players. Failure: It turns out that, more often than, a team with a higher SD wins. In my language, that...
View full post »

Thread 'Roulette wheel physics and probability'

Hi all, I've been a roulette player for more than 10 years (although I took time off here and there) and it's only now that I'm trying to understand the physics of the game. Basically my strategy in roulette is to divide the wheel roughly into two halves (let's call them A and B). My theory is that in roulette there will invariably be variance. In other words, if A comes up 5 times in a row, B will be due to come up soon. However I have been proven wrong many times, and I have seen some...
View full post »

Similar threads

I What is the role of Dedekind cuts in constructing real numbers?
Replies
7
Views
3K
I Construction of reals through Dedekind cuts in Baby Rudin
Replies
1
Views
1K
Insights What Are Numbers?
Replies
13
Views
4K
Dedekind Cut, as stated by Richard Dedekind
Replies
5
Views
2K
I Base Pi Integers: Isomorphism with Rationals?
Replies
33
Views
4K
B Real Probability: Rational vs Irrational Numbers
Replies
8
Views
2K
MHB Sum of a rational number and an irrational number ....
Replies
3
Views
1K
I How to relate multiplication of irrational numbers to real world?
Replies
7
Views
2K
B One thing I don't understand about Cantor's diagonal argument
2
Replies
55
Views
7K
Sum of a rational number and an irrational number ....
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top