Lesson plan
Diagonal intersection
Diagonal intersection is a term used in mathematics, especially in set theory. If \displaystyle\delta is an ordinal number and \displaystyle\langle X_\alpha \mid \alpha is a sequence of subsets of \displaystyle\delta , then the diagonal intersection, denoted by : \displaystyle\Delta_{\alpha is defined to be : \displaystyle\{\beta That is, an ordinal \displaystyle\beta is in the diagonal intersection \displaystyle\Delta_{\alpha if and only if it is contained in the first \displaystyle\beta members of the sequence. This is the same as : \displaystyle\bigcap_{\alpha where the closed interval from 0 to \displaystyle\alpha is used to avoid restricting the range of the intersection.
Article summary
Diagonal intersection is a term used in mathematics, especially in set theory. If \displaystyle\delta is an ordinal number and \displaystyle\langle X_\alpha \mid \alpha is a sequence of subsets of \displaystyle\delta , then the diagonal intersection, denoted by : \displaystyle\Delta_{\alpha is defined to be : \displaystyle\{\beta That is, an ordinal \displaystyle\beta is in the diagonal intersection \displaystyle\Delta_{\alpha if and only if it is contained in the first \displaystyle\beta members of the sequence. This is the same as : \displaystyle\bigcap_{\alpha where the closed interval from 0 to \displaystyle\alpha is used to avoid restricting the range of the intersection.
Key claims
No claims recorded.
Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
No sources recorded.
Key claims and bibliography are generated from the same tracked claims and sources as the article page.