Math 2.0

Concept

Second

Summary

A set of second category is a set that is not of first category: in other words a set that is not the union of a countable number of nowhere-dense sets.

An ordinal of the second class is a countable infinite ordinal

An ordinal of the second kind is a limit ordinal or 0

Second order logic allows quantification over subsets as well as over elements of a model

Further reading

  1. Wikipedia, page 43580500, revision 1360947732, Glossary of set theory, section S. adopted
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