Question

Hilbert’s axiom’s changed Euclid’s geometry by _____.

1 disproving Euclid’s postulates
2 utilizing 3-dimensional geometry instead of 2-dimensional geometry
3 describing the relationships of shapes
4 identifying and explaining the concept of undefined terms

Answer 1

The correct answer is:

4) identifying and explaining the concept of undefined terms .

Step-by-step explanation:

Using the axioms listed in the Elements is insufficient to prove the theorems in the Elements. Hilbert's axiomatization fills the details in, including the assumption that there are three basic undefined terms.

Answer 2

I think the correct answer from the choices listed above is option 2. Hilbert’s axiom’s changed Euclid’s geometry by  utilizing 3-dimensional geometry instead of 2-dimensional geometry. Hilbert is also known for his axiomatisation of the Euclidean geometry with his set of 20 axioms.