<commit_before>---
layout: post
title: 'Math 101: Simple Flawed Proofs'
date: 2011-09-23
status: publish
comments: true
share: true
categories:
- Mathematics
tags: []
image:
  feature: main-banner-2.jpg
---

I wanted to post on types of proofs that I find highly interesting: ones that are completely and utterly wrong based on very simple mathematics. With these types of proofs, we can seemingly "prove" that 1=2 or 10 = 1,396. I have always found it interesting that most people cannot spot the mistakes in these proofs.  I'll give a simple example (there are many others, but I like this one most) and then go through some of the reasons why I think most people do not immediately understand the flaws.

## The "Proof"
Consider these simple statements:

Let \(a \in \mathbb{R}\)<commit_msg>Fixing stuffs.<commit_after>---
layout: post
title: 'Math 101: Simple Flawed Proofs'
date: 2011-09-23
status: publish
comments: true
share: true
categories:
- Mathematics
tags: []
image:
  feature: main-banner-2.jpg
---

I wanted to post on types of proofs that I find highly interesting: ones that are completely and utterly wrong based on very simple mathematics. With these types of proofs, we can seemingly "prove" that 1=2 or 10 = 1,396. I have always found it interesting that most people cannot spot the mistakes in these proofs.  I'll give a simple example (there are many others, but I like this one most) and then go through some of the reasons why I think most people do not immediately understand the flaws.

## The "Proof"
Consider these simple statements:

Let $a \in \mathbb{R}$
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