Let a language partition the universe into two infinite unary predicates and include a bijection between them. Its complete theory is categorical in every infinite cardinal. The reduct forgetting the bijection is not categorical in any uncountable cardinal, because the two infinite parts can have different cardinalities.

Ancestors (7)

  1. Categorical theory
  2. Complete theory
  3. Model theory
  4. Foundations of mathematics
  5. Area of mathematics
  6. Mathematics
  7. Home

Incoming links (1)

View article source

Discussion (0)

New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version