Which of the following are accepted without proof in a logical system? Check all that apply.A.AxiomsB.PostulatesC.ConjecturesD.Theorems

In a logical system, certain foundational elements are accepted without needing to be proven. Here, we analyze each option:

1. A. Axioms: These are fundamental statements or propositions that are accepted as true without proof. They serve as the starting point for any logical reasoning or mathematical framework.

2. B. Postulates: Similar to axioms, postulates are also accepted without proof. They are specific assumptions made within the context of a particular logical or mathematical system.

3. C. Conjectures: These are statements that are proposed based on observations but have not yet been proven. Conjectures require proof to be accepted as true.

4. D. Theorems: Theorems are propositions that have been proven based on axioms and previously established theorems. They are not accepted without proof.

Final Answer

Accepted without proof: A. Axioms, B. Postulates.