From 06d66811b93524720bd9e2aa06e37ee5ce8887fa Mon Sep 17 00:00:00 2001
From: phidias <phidias@aperx.org>
Date: Wed, 11 Feb 2026 17:14:36 +0000
Subject: [PATCH] docs: create education/mathematics/mathematical-induction

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+<!--
+title: 數學歸納法 (Mathematical Induction)
+description: 
+published: true
+date: 2026-02-11T17:14:35.544Z
+tags: 
+editor: ckeditor
+dateCreated: 2026-02-11T17:14:35.544Z
+-->
+
+<p>Fundamental Principle</p>
+<p>Mathematical induction is a method used to prove that a statement holds true for all natural numbers k.</p>
+<p>Let P(n) be a statement defined for each positive integer n.</p>
+<p>Then P(n) will be true for all positive integers n if the following two conditions are satisfied:</p>
+<p>(1) P(1) is true.</p>
+<p>(2) P(k) is true for some integer k + 1 implies that P(k + 1) is true.</p>
+<p>Because all the other values can use the result from the (1) and (2),</p>
+<p>Therefore, you can conclude that all the conditions with integers n are true.</p>