Lesson plan

Continuum function

In mathematics, the continuum function is the function \kappa\mapsto 2^\kappa on cardinals, i.e. raising 2 to the power of κ using cardinal exponentiation. Given a cardinal number, the cardinal function yields the cardinality of the power set of a set of the given cardinality.

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Article summary

In mathematics, the continuum function is the function \kappa\mapsto 2^\kappa on cardinals, i.e. raising 2 to the power of κ using cardinal exponentiation. Given a cardinal number, the cardinal function yields the cardinality of the power set of a set of the given cardinality.

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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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