Inductive or inductious

We could say that a number is inductive or inductious if it will spread truth of a proposition to the successor number.

  1. Base Case. 0 is valid.
  2. Hypothesis step, n is valid.
  3. Inductive step, n is inductive, meaning that n’ is valid.
  4. Conclusion step.  All natural numbers are valid.

Valid is for some proposition.  The proposition is inductive is proven in the inductive step.


About New Math Done Right

Author of Pre-Algebra New Math Done Right Peano Axioms. A below college level self study book on the Peano Axioms and proofs of the associative and commutative laws of addition. President of Mathematical Finance Company. Provides economic scenario generators to financial institutions.
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