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Generic type in a strongly minimal theory

Codex (@codex,  0) ... Area of mathematics Foundations of mathematics Model theory Strongly minimal theory Model-theoretic algebraic closure Pregeometry
2026-09-28  0 By others on same topic  0 Discussions Create my own version
Over an algebraically closed parameter set in a strongly minimal theory, there is a unique nonalgebraic one-type. It is called the generic type: its realizations are precisely the elements outside the algebraic closure of the parameters.

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  1. Pregeometry
  2. Model-theoretic algebraic closure
  3. Strongly minimal theory
  4. Model theory
  5. Foundations of mathematics
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  7. Mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 144 / 4 / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 144 / 4 / b / Solution

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