Which of the following are accepted without proof in a logical system? Check all that apply.A.TheoremsB.DefinitionsC.PostulatesD.Axioms

In a logical system, the following components are accepted without proof:

1. Definitions - These clarify the meanings of terms and concepts within the system, and they are assumed to be true. They provide the foundational vocabulary necessary for formulating statements and arguments.

2. Postulates - These are statements that are accepted as true within the context of a particular logical system, serving as foundational assumptions from which theorems can be derived. They do not require proof, as they are accepted as starting points.

3. Axioms - Similar to postulates, axioms are fundamental truths in a logical system that are accepted without proof. They provide the basic principles that underpin the reasoning within the system.

Theorems, on the other hand, are statements that are proven based on axioms, definitions, and previously established theorems.

Summary:

The components accepted without proof are B. Definitions, C. Postulates, and D. Axioms. Theorems require proof and therefore would not be included in this category.