5
AssignmentMultiple Choice

Introduction to Systems of Linear Equations

Question 5 • Junior Studies (Math) - A (Mrs. Hitchcock) 26-27

Geometry classes today tend to treat axioms and postulates as synonyms; however, there were distinctions between these two ideas. What were the distinctions made by Greek mathematicians?

Answer
A
Axioms were accepted as truth, but postulates had to be proven.
B
Postulates applied to all sciences, while axioms were for specific studies.
C
Axioms applied to all sciences, while postulates were for specific studies.
D
Postulates were accepted as truth, but axioms had to be proven.

Explanation

Greek mathematicians distinguished general principles from assumptions specific to a subject. Axioms were treated as truths applying across the sciences, while postulates were assumptions used within a particular study, such as geometry. Therefore, choice C is correct.

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