C. Directions: Tell whether the following statement is true or false.
______ 1. An axiomatic system consists of undefined terms, defined terms, axioms, and theorems.
______ 2. Theorems are proved using undefined terms, defined terms, axioms, a logical system, and/or previous theorems.
______ 3. A model of an axiomatic system is obtained by assigning meaning to the undefined terms of the axiomatic system in such a way that the axioms are true statements about the assigned concepts.
______ 4. Euclid’s postulates 1, 2, 3, and 4 can be used to prove postulate 5 (or Euclidean Parallel Postulate).
______ 5. An axiomatic system should be consistent for it to be logically valid.
______ 6. Independence and completeness are necessary requirements of an axiomatic system.
______ 7. Some terms remain undefined to avoid circular definition.
______ 8. Points, lines and planes are undefined terms in Geometry.
______ 9. Euclid’s first five assumptions are not specific in geometry in which he called them postulates and the other five are specifically geometric which he called them common notions.
______ 10. In our daily lives, we use true statements based on facts as our reasons in order to arrive at a conclusion. In this manner, we are applying axiomatic system.
Answers & Comments
Answer:
1 t
2 f
3 f
4 t
5 t
6 f
7 t
8 f
9f
10 t
Step-by-step explanation:
f=false
t=true
papaiksiin ko Lang po ang Ans
hope it helps