Construction of Ordinal Numbers and Arithmetic of Ordinal Numbers

The purpose of this paper is to introduce the idea how construct transfinite numbers and study arithmetic. research method used a literature review, which involves collecting various sources such as scientific papers books related Cantorian set theory, infinity, ordinal or arithmetic, well connection between infinity theology. also constructing objects study, namely finite ordinals ordinals, examining their arithmetic properties. results include methods both using two generation principles. Both are defined well-orderings that transitive sets. Arithmetic well-known, but will be introduced in paper, including addition, multiplication, exponentiation.