Question

7 which of the following are accepted without proof in a logical system? check all that apply. axioms common notions postulates theorems

Explanation:

• Axioms: Statements accepted without proof as starting points in a logical system.
• Common Notions: Similar to axioms, fundamental ideas accepted without proof (e.g., "Things equal to the same thing are equal to each other").
• Postulates: Assumptions or statements accepted without proof, often specific to a particular field (e.g., geometric postulates).
• Theorems: Statements that require proof based on axioms, postulates, or previously proven theorems, so they are not accepted without proof.

Answer:

A. Axioms
B. Common Notions
C. Postulates