Construction of Number Systems


Peano’s Axioms. N is a set with the following properties. (1) N has a distinguished element which we call ‘1’. (2) There exists a distinguished set map σ : N→ N. (3) σ is one-to-one (injective). (4) There does not exist an element n ∈ N such that σ(n) = 1. (So, in particular σ is not surjective). (5) (Principle of Induction) Let S ⊂ N such that a) 1 ∈ S and… (More)


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@inproceedings{Kumar2009ConstructionON, title={Construction of Number Systems}, author={N. Mohan Kumar}, year={2009} }