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Why is \( \sqrt{2} \) irrational?

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  1. Why is \( \sqrt{2} \) irrational?
  2. Can you explain to me Cantor's Theorem?
  3. What is the basis for Set Theory
  4. Can you teach me simple and strong induction?
  5. Can you explain why \( \left(\Sigma \models Q \right) \Longleftrightarrow \left(\forall \psi : \left(\bigwedge\limits_{i=1}^n {P_i \left(\psi\right) } \right) \rightarrow Q\left(\psi\right) \right) \)?

Try Why is \( \sqrt{2} \) irrational?