Mathoma | Set Theory (Part 14): Real Numbers as Dedekind Cuts @Math_oma | Uploaded 9 years ago | Updated 1 hour ago
Please feel free to leave comments/questions on the video and practice problems below!
In this video, we will construct the real number system as special subsets of rational numbers called Dedekind cuts. The trichotomy law and least upper bound property of the reals will also be proven. This video will also serve as an introduction for setting up real number arithmetic in the next video. This video should be interesting to those studying real analysis.
Please feel free to leave comments/questions on the video and practice problems below!
In this video, we will construct the real number system as special subsets of rational numbers called Dedekind cuts. The trichotomy law and least upper bound property of the reals will also be proven. This video will also serve as an introduction for setting up real number arithmetic in the next video. This video should be interesting to those studying real analysis.