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Which aong the following are undecidable theories?

(a) The first order theory of boolean algebra

(b) The first order theory of Euclidean geomentry

(c) The first order theory of hyperbolic geometry

(d) The first order theory of the natural number with addition, multiplication, and equality

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The correct option is (d) The first order theory of the natural number with addition, multiplication, and equality

To explain I would say: Tarski and Mostowski in 1949, established that the first order theory of natural numbers with addition, multiplication, and equality is an undecidable theory. Others mentioned are decidable theories.

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