&quot;The axioms don&#x27;t have to be true.&quot;<p>No, not at all. Axioms are better thought of as universally accepted truths which everything else depends on. <a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Logical_atomism" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Logical_atomism</a>