<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Proof Technique: Indirect Proofs · Maximum Mathematics</title><link>https://maximummathematics.com/books/foundational-mathematics/proof/proof-technique-indirect-proofs/index.html</link><description>As seen in the last section, a direct proof is a proof method where we assume the truth of the hypothesis, and show the truth of the conclusion. But the last example in that section shows that a direct proof can sometimes be quite tricky to devise.
If we’re ever stuck trying to show a proposition is a theorem by taking a direct approach, we can use mathematical logic to prove an equivalent implication instead. Since we’re not proving the original implication to be a logical implication, but rather showing a logically equivalent one is, this is called an indirect approach.</description><generator>Hugo</generator><language>en-US</language><atom:link href="https://maximummathematics.com/books/foundational-mathematics/proof/proof-technique-indirect-proofs/index.xml" rel="self" type="application/rss+xml"/></channel></rss>