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YouTubeMathematicus Magister
Zermelo Set Theory: Principle of Induction Proof
Mathematical induction is a tool we use all the time, but WHY does it actually work? Using the set theoretic definition of natural numbers (the Von Neumann construction), we can prove that if a property P is true for 0, and if whenever it is true for some fixed n∈ω then it has to be true for the successor S(n) as well, then it has to be true ...
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