Easy
logic-principleslaw-of-non-contradictionclassical-logic

Can a Statement Be Both True and False at the Same Time?

Problem Statement

In classical logic, can a statement be both true and false at the same time?

Answer

No

Step-by-Step Explanation

  1. 1

    This question addresses the Law of Non-Contradiction.

  2. 2

    The Law of Non-Contradiction states: A statement cannot be both true and false simultaneously.

  3. 3

    For example, 'It is raining' cannot be both true and false at the same time and place.

  4. 4

    This is one of the three classical laws of thought in logic.

  5. 5

    In classical logic, every statement must be either true or false, but not both.

  6. 6

    Note: Some non-classical logics (like paraconsistent logic) challenge this, but in standard logical reasoning, the answer is no.