International Journal of Mathematics and Mathematics Education (IJMME)
Vol. 1 No. 2 (June 2023)

Mathematical induction, transfinite induction, and induction over the continuum

Denik Agustito (Universitas Sarjanawiyata Tamansiswa)
Sukiyanto Sukiyanto (Universitas Sarjanawiyata Tamansiswa)
Krida Singgih Kuncoro (Universitas Sarjanawiyata Tamansiswa)

Article Info

Publish Date
14 Jun 2023

Abstract

This article examines three types of induction methods in mathematics: mathematical induction, transfinite induction, and induction over the continuum. If a statement holds true for all natural numbers, it is proven using mathematical induction. If a statement holds true for all ordinal numbers, it is proven using transfinite induction. Since induction over the continuum cannot be applied to a statement, when something is said to be proven true for every point in [a, b), the proof is done using induction over the continuum.

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Journal Info
International Journal of Mathematics and Mathematics Education (IJMME)
Website

Abbrev

IJMME

Publisher

Edupedia Publisher

Subject

Mathematics

Description

International Journal of Mathematics and Mathematics Education (IJMME) invites academics and researchers who do original research in the fields of Mathematics and Mathematics Education including but not limited to: Mathematics other relevant fields will also be considered: Pure Mathematics: Algebra, ...