@article{IPI3548665,
title = "Mathematical induction, transfinite induction, and induction over the continuum",
journal = "EDUPEDIA Publisher",
volume = "Vol. 1 No. 2 (June 2023)",
pages = "",
year = "2023",
url = https://journals.eduped.org/index.php/IJMME/article/view/385/301
author = "Denik Agustito; Sukiyanto Sukiyanto; Krida Singgih Kuncoro",
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.",
}