Lesson plan

Veblen function

In mathematics, the Veblen functions are a hierarchy of normal functions (continuous strictly increasing functions from ordinals to ordinals), introduced by Oswald Veblen in . If φ 0 is any normal function, then for any non-zero ordinal α, φ α is the function enumerating the common fixed points of φ β for β<α. These functions are all normal.

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Article summary

In mathematics, the Veblen functions are a hierarchy of normal functions (continuous strictly increasing functions from ordinals to ordinals), introduced by Oswald Veblen in . If φ 0 is any normal function, then for any non-zero ordinal α, φ α is the function enumerating the common fixed points of φ β for β<α. These functions are all normal.

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Discussion questions

  1. Summarise the article in your own words. Which single claim would you verify first, and why?
  2. Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
  3. If two sources disagreed about one of these facts, what would you need in order to trust one over the other?

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