Question

What are accepted without proofs in a logical system

Answer 1

Postulates, Axioms, and Common Notions are accepted without proofs in a logical system.

Explanation:

Postulates or axioms are those statements which are considered to be true and these serve as a starting point or a premise for further arguments or reasoning purposes.

Common notions which are sometimes referred to as axioms represents the magnitudes of one kind.

In mathematics, axioms are classified into two types namely,

1. Logical axioms: Used in two distinguishable but relatable senses.

2. Non-logical axioms: Substantive assertions based on the elements of any theory.